diff --git "a/data/dm_maths/full_data_2/137_11255.jsonl" "b/data/dm_maths/full_data_2/137_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/137_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Put -2\/11, -1\/4, -3, -0.2, -3\/10 in decreasing order.\nAnswer: -2\/11, -0.2, -1\/4, -3\/10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -185\/4*d**4 - 100\/3*d**3 - 30*d**5 - 15\/2*d**6 + 0*d - 10*d**2 + 14. Let f(b) = 0. What is b?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*z - 180 - 31 = -2*o + 10, 3*z - 4*o + 72 = o for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41383659 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -0.320563?\nAnswer: 2.679437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - o + 10. Let t be p(0). Let m = t + -5. Suppose m*u - 13 = 2. Which is the closest to -3? (a) u (b) -0.4 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4006 - 1662488\/415. Let y = g - -808\/4565. Factor -y*l**2 - 18\/11 + 12\/11*l.\nAnswer: -2*(l - 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, -0.4, 4, 74, -6, 11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*z - 2*s + 8, -4*s = -5*z + 17. Let u = -308 - -596. Suppose o = -z*o + u. What is o rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 106359511*t**2 - 10130*t + 569?\nAnswer: 212719022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 749\/13 + -8429\/156. Find the common denominator of d and -79\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 22808 = -4*n, 5*v - n = 2*v + 17098. Does 38 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 3*j**3 - j**2 + 2*j - 2. Let o be (-6 + 0)*(-8 - (-255)\/30). Is u(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 4*i = -12, -4 = 4*f + 1894*i - 1892*i for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -342, -651, -960, -1269, -1578, -1887?\nAnswer: -2196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2213 + 2111. Put 5, 0.01, b in ascending order.\nAnswer: b, 0.01, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3015*w = -4490*w - 3256*w + 2682*w + 581688 for w.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 7:18 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -16*s + 18*s. Find the common denominator of -8 - s - 548\/(-96) and -43\/80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -3. Let z(f) = -j*f + 3*f - 3*f - f + 1. Determine z(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 14 = -9. Let s(i) = -i**2 - i + 1. Let v(n) = -6*n**2 - 8. Let z(t) = y*v(t) + s(t). Calculate the remainder when z(5) is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to -39537\/20351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, 9, 2\/9, -1\/37, 2\/97, 4, 2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 12, 44, 110, 222, 392?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 - 9*k - 6. Calculate q(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 2*s - 20 = 0, -3*s - 1691 + 1650 = 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lii when three letters picked without replacement from llilillllllll?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j - 4*j + 2*j - 2*j. Let g(v) = -24*v**2 + v. Let c(x) = -x**2. Let n(q) = 22*c(q) - 2*g(q). Give n(h(p)).\nAnswer: 104*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*n**3 + 2 + (14 - 4*n**2 - 14)*(2*n - 3*n + 2*n) - 8*n**3 - 10*n**3 + 10*n**3 to t*n + o + y*n**2 + q*n**3 and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-29076)\/(-20) - 19\/((-1805)\/(-76)) is divided by 178.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 8*i**2 - 3752*i + 26193. What is c(7)?\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1786772026?\nAnswer: 2, 13, 173, 397237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 + -8)*(-4 + 0). Solve 5*b - r - 21 = -3*m, -b + 5 = -4*m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -11. Let z be l\/7 + (-2)\/14. Suppose 4*n + 6*t - z*t = -56000, -2*t + 42000 = -3*n. What is n rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 8 + 1 = 0. Suppose -z + 2*q + 3 = 0, -3*z - 3*q - 2*q + k = 0. Let n(c) be the second derivative of -c**4\/12 + 3*c**2\/2 - c. Calculate n(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22615 (base 8) to base 10.\nAnswer: 9613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2bc54 - -5?\nAnswer: -2bc4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 6:32 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71662699 and 8638?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n**3 + 4*n**2 - 5*n - 8*n**4 - 6*n**2 + 5*n**4 + 2*n**3 as u*n**3 + k*n**2 + c*n**4 + m*n + b and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2 = w, c + 11 = 4*w + 4*c. Suppose -o + 17 = -r, -4*r + 2 = o - w. What is the highest common divisor of 45 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(8)\/(sqrt(12)\/sqrt(3)))*4.\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203635 + 192781 = 134*m for m.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17880*m*u**3*x**2 + 6435*m*u**3 - 4*m*u*x + u**3*x**2 + u**3*x wrt x?\nAnswer: 35760*m*u**3 + 2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/7)\/d*((d\/d**13*d*d)\/d)\/d)\/(d**(-10)*d\/((d\/(d\/(d\/((d*((d\/((d**(2\/19)\/d)\/d))\/d)\/d)\/d))))\/d)) assuming d is positive.\nAnswer: d**(-575\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-2550)\/(-12))\/((-10)\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 - 2*b**2 + 0*b**2)*(68 + 5*b**2 - 68).\nAnswer: -25*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11\/34 - -15\/34. Let p = -6.2 - -7. Let u = p - 0.3. Which is the nearest to -1? (a) q (b) u (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, r: 2, m: 3, g: 2, d: 1}. What is prob of sequence dm?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 15*f + 8. Let u(p) = -4 - 10123*p + 0 + 10109*p - 5. Give -7*t(j) - 6*u(j).\nAnswer: -21*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(9\/15)*2\/(-10)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22264831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1671280?\nAnswer: 2, 5, 13, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 82747519 to the power of 1\/2, to the nearest integer?\nAnswer: 9097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/4)\/((-315)\/48860). Is 40 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162 and 28134.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (7 + -1)*(46 + -45)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.6 - 3. Let y = t + 0.45. Let z = 0.35 - y. Sort 0.5, z, 1 in descending order.\nAnswer: 1, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -644\/3 + 215*a - 1\/3*a**2 = 0.\nAnswer: 1, 644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 24 + 16. What is the smallest common multiple of h and ((-12)\/(-14))\/((-1)\/(-7))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8677 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26212 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**4\/5 - 573*y**3\/5 - 10502*y**2 + 652224*y\/5 + 140832 = 0.\nAnswer: -90, -1, 12, 652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 994399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 302 + -290. Let f be 10\/(-14)*z\/20. Suppose -4 = 5*b - 2*v, -6*b - 21 = -3*b + 5*v. Sort f, 2\/13, -0.1, b.\nAnswer: b, f, -0.1, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7400*d**2*w**2 - 4*d*w**2 - 21*d*w + 31 wrt d?\nAnswer: -14800*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 296187 and -2.\nAnswer: -592374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**2 - 7*z + 8. Calculate q(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 829 is divided by 545?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, 19, 0.2, -0.03, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 5)*(-3*v + 0*v + 2*v) - 4 - 993*v + 4 - 2943*v - 140*v to the form r*v + f and give r.\nAnswer: -4075","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 116 + -66. Suppose s = -3*w + 56. Solve 3*l - 2*u = -0*u - 8, -w*u = -2*l - 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**5 + 3*s**5 - s**5 + (-63*s**4 + 29*s**4 + 28*s**4)*(3*s - 5*s + s) + 2*s**5 + 0*s**3 + 0*s**3.\nAnswer: 7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-five halves of a day?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 16 = 4*w. What is the units digit of ((-10)\/(-1))\/(w\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/(-21) + -4 + 4. Let n = -1.9 + 1.948. Let y = 0.548 - n. Which is the third biggest value? (a) o (b) y (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 18. Is (i + -1 + 0)*7 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11461\/((-32)\/(-8) + -3 + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7595 - -7672. Let z be (7\/1)\/(1\/1). What is the highest common divisor of v and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.8 (b) -0.09 (c) 0.9 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*b + 2*x + 46, -x - 83 = 3*b. Is b at least as big as -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 3:10 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 8 + 3 + 22*l**3.\nAnswer: 22*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -579?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 120 - 120.4. Suppose s - 14 = 2*n, n - 3*n = s + 6. Suppose l + 1 = -2*b, 3*b + 14 + s = -3*l. Put 0.3, g, l in decreasing order.\nAnswer: 0.3, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(416) - sqrt(416)*-2)*-5 + 1*sqrt(416)*-1 + sqrt(416))\/(5*(sqrt(20) - (sqrt(500) - sqrt(500)*-1))\/sqrt(10)).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/14969941 and -25\/13283.\nAnswer: 14969941","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 43892244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -105 + (3 - (-6 - -11) - (49 - 60) - -1)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -164*0.3\nAnswer: -49.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13043.5 - -8375. Round p to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179 - 2*w - 179.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + o. Let n(q) = -q + 3. Let l be n(3). Suppose 5*r + 5*d = 0, l = -r + 2*r + 3*d. Calculate i(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 62799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 157 = -3*q - 4*r, 539 = 3*q - 5*r. Let t = 228 - q. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*(g**(-17)\/g)\/g*g*g*g*g*((g\/g**(-5\/7))\/g)\/g assuming g is positive.\nAnswer: g**(-100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*f**2 + 93*f + 86*f - 177*f + 71*f**2 - 150*f**3 to the form k*f**2 + h + x*f**3 + g*f and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266 = -105*r + 48*r - 19 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 38740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -63 + 279 + -271 - 13) + 6 + -6?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -18*o - 210. What are the prime factors of g(-38)?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 29556870, 59113742, 88670614, 118227486, 147784358, 177341230?\n\"Answer: 29556872*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a - 4. List the prime factors of f(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 328 or 1315\/4?\nAnswer: 328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 0 - 2*j + 2 + j**2 - 1 + j**3 + 1. Determine l(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(704)*-1 + (-2 + sqrt(704) - sqrt(704)) + 4)*-4 - (-2*((sqrt(704) - (0 + sqrt(704))) + sqrt(704)) + sqrt(704) + 1 + -3 + 2))**2.\nAnswer: 384*sqrt(11) + 6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 7*u**2 + 8*u + 9. Let n be q(-6). Let t be 4\/2*6\/n. Let h(y) = y**3 + 3*y**2 - 2*y + 4. Calculate h(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-5) + (-2033)\/(-665)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ir when two letters picked without replacement from iiiiiiiirri.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/10*((-3 - 2675\/(-75)) + (-110)\/5). Factor -1\/5*i**3 + f - 23\/5*i**2 + 26\/5*i.\nAnswer: -(i - 2)*(i + 1)*(i + 24)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1353\/98 + 2129249\/154154. Calculate the common denominator of j and -59\/2.\nAnswer: 3146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -177*o**7\/7 - 2*o**3 - 4*o + 146. What is the third derivative of c(m) wrt m?\nAnswer: -21240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -0.028 (c) -1\/4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hneehveeehevt. What is prob of sequence hhnv?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 719124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 56*u**2 + 363*u + 358. Determine v(-9).\nAnswer: 898","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34776 is divided by 1079?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55198*v + 4136380 - 4136380.\nAnswer: -55198*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1070 + 6976. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 20*a - 14. Calculate r(-20).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 4116?\nAnswer: 4118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + t + 0*t)*(-16*t**2 + 16*t**2 - 9*t**2)*(-t - 4*t + 4*t).\nAnswer: 36*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19467)\/206)\/(-189)*(0 - 42)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*k, 188*u + 2*k - 14 = 186*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen halves of a century?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most 3195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/3292 and -51\/734.\nAnswer: 1208164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 207622337 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 7*x - 5*o, -8 = 441*x - 443*x - 4*o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 1 - (30 - 37).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 7:26 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 703 less than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31\/72 - 1\/504. Which is the closest to -1? (a) r (b) -16 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -0*p - 860. What are the prime factors of p?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by -65\nAnswer: -23\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 - 21. Let d = -35 + g. Sort -2, 2, d, 1\/7 in ascending order.\nAnswer: -2, 1\/7, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*y + 3*l - 342, -19 = 10*y - 7*y + l + 3*l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 11*i. Let o be p(-10). Sort -4, o, -3.\nAnswer: -4, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**2 - 2*y**3 - 2*y + 2*y**4 - 64 + 30 + 33 - 6*y**3 - 8*y**2 as o + r*y**3 + j*y**2 + n*y**4 + h*y and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j - 3*j**4 - 2*j - 76*j**4 + 36*j**4 wrt j.\nAnswer: -516*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*g = -18, 4*d - 46 = 7*d - 4*g. Let f(y) = y**2 + 11*y + 16. Determine f(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 4)*(2*p - p - 2*p).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4884 (base 9) to base 4.\nAnswer: -320320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/11))**(-27)\/(a**(-21)*a**1*a) assuming a is positive.\nAnswer: a**(182\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 172*x - 9. Let n(r) = -34055*r + 1785. Calculate -6*n(g) - 1190*u(g).\nAnswer: -350*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 - 3. Let u = 147 - 153. Let n(c) = 12*c**2 - 12*c - 2. Let f(b) = 35*b**2 - 34*b - 7. Let r(z) = u*f(z) + 17*n(z). Give -6*r(m) - 17*v(m).\nAnswer: 2*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 772365?\nAnswer: -772365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -188 in -6178, 5, 90\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (61 + -13 - 51) + 0 + -23.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-7))\/(550\/(-140) - -5)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1877 + 3407. Suppose -11*b + 1022 = -9*b - 4*y, 3*b - 3*y = g. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31310 - -47509. Is g a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 120 and -1.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 97a99 - -6?\nAnswer: 97aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -310313022?\nAnswer: -310313033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 180 + 23?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-10) - (-16)\/40. Let f(r) be the third derivative of r**5\/60 + 5*r**3\/3 + 8*r**2. List the prime factors of f(a).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + 8289*v**2 - 49653*v + 74439.\nAnswer: -3*(v - 2757)*(v - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + w**2 + w + 1. Let b(f) be the second derivative of -f**5\/10 + f**3\/6 + f**2 + 116*f - 2. Give -b(x) + 2*z(x).\nAnswer: 4*x**3 + 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -w**6\/300 - w**5\/50 - w**4\/30 - 28*w**2 - 13. Let c(o) be the second derivative of n(o). Factor c(q).\nAnswer: -2*q*(q + 1)*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3702*m + 169875. Calculate o(46).\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 7*z**2 - 2*z - 9. Suppose 0 = -18*s - 4888 - 512. Let d = s - -293. What is l(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5500713 - 24?\nAnswer: 5500667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h - 3*y + 255 = -15*h, -2*h - 3*y + 495 = 0. Which is greater: 477\/2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 7*v**2 + 16*v + 3. Let n be m(-12). List the prime factors of (0 + -1)\/((-9)\/n).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.68 + 1.32. Let s = 7.13 - 2.1. Let h = s + -0.03. Put 0.1, h, c in ascending order.\nAnswer: 0.1, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c - 1. Let y(v) = 2*v**3 - 2*v**2 - 20*v - 16. Let l be 55\/33*(8 + 1). Let r be (-28)\/(-20)*1 - (-9)\/l. Let o(u) = r*y(u) - 36*i(u). Factor o(m).\nAnswer: 4*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 7*q**2 - q**2)*(-q + 6*q - 3*q) - 4*q**3 + 4*q**3 - q**3 + (-2*q**2 + 0 + 0)*(0*q - q + 2*q) + 2*q - 2*q**3 - 2*q.\nAnswer: -21*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -3*n + 7, 0*n - 2*n = -o - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26289138?\nAnswer: 2, 3, 23, 29, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3096a1 (base 12) to base 15\nAnswer: 10113d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 x, and 1 q when four letters picked without replacement from uqctxuttxtttxxxhxtxt?\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10565237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -18 (b) 3\/8 (c) 0.4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d + 3. Let g(x) = x. Let i(a) = -4*g(a) + n(a). Let o(w) = 2*w - 3. Calculate 3*i(j) + 4*o(j).\nAnswer: 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -8*j - 4*r, -2*j - 2*r + 0 = 16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 222 - 30. Calculate the remainder when g is divided by 46.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1223622.88268 + -0.661.\nAnswer: 1223622.22168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**4\/3 + 1604*a**3\/7 + 12974*a**2\/21 + 1816*a\/7 - 2728\/21 = 0.\nAnswer: -341, -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 623834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 2:31 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 15. Is (14\/8)\/(p\/(-260)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -71298 (base 12) to base 9.\nAnswer: -244028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000915815 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/(-33) - (-1)\/(-3). Solve 5*p = -v*p + 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 9*b**3 - 9*b**2 - 10*b - 1. Let l(a) = 8*a**3 - 9*a**2 - 11*a - 1. Let h(z) = -7*l(z) + 6*y(z). Suppose 14 = 262*v - 264*v. Is h(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 + 4 = 4*l + 13*s, -4*l - 12 = -s for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 28 = 6*m + 36 - 53 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 162 - -21. Let v = -98 + r. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from vveivye.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 0*d**2 - 1\/20*d**5 + 1\/4*d**4 - 11*d + 0 + 1\/2*d**3. Determine v(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 3*q**2 - 40*q - 242. What is m(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 5. Let g(a) = -a**2 + 4*a - 2. Let d(q) = q + 9. Let o be d(-6). Calculate the remainder when m(4) is divided by g(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - k + 18. Let a be t(0). Suppose -h = -4, 3*q + 5*h - 62 = -0*q. Suppose 16 = a*f - q*f. Solve 4*m = -d - 4, m + 0*d - d - f = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41210311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -2) + 1 + 7 + -15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29.323 - -29.45797. Let u = z - 0.1406. What is u rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -64*j**2 + 4*j - 7. What is i(2)?\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -175265 and -0.011.\nAnswer: 1927.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -147 + 382. Suppose -4*h + j = h. Let k = h - -6. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 10) in base 6?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 q when two letters picked without replacement from {n: 2, v: 1, q: 2, y: 1, i: 10}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 8, k: 2}. What is prob of picking 2 k and 1 h?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1185076862?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 170*f**2 + f + 1. Let y be z(-1). Suppose 0 = 128*j - 19530 + 9479 - 11581. Which is greater: j or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39048 - 24600389\/630. What is the common denominator of c and -37\/900?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 174*m - 170*m + 218, -62*a = -m - 117 for m.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*t + 3*t + 0*t)*(1 + 2 + 2)*(-20*t + 8*t - 21*t) as k*t + x*t**2 + z and give x.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 10*t**2 - 26*t + 2. Let a be (-1)\/(2\/(-8) - (-1)\/3). Calculate the smallest common multiple of 10 and u(a).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 340 + -187. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20796672)\/(-2912) + 9\/7. What is the greatest common factor of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1085598?\nAnswer: 2, 3, 41, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 309914 - 606681. Let l = o - -443914. Let g = 35147 - l. Round g to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/15604 and 3\/32806.\nAnswer: 5445796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3840, 2262, -370, -4056, -8796?\n\"Answer: -527*m**2 + 3*m + 4364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 882 a factor of 627102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**6\/120 + 1529*s**5\/60 - 818*s**3\/3 + 2*s**2 - 552. Find the first derivative of x(u) wrt u.\nAnswer: -3*u**2 + 3058*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 23519088, 23519082, 23519066, 23519034, 23518980, 23518898, 23518782, 23518626?\n\"Answer: -c**3 + c**2 - 2*c + 23519090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1659056 and 7616?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41841.21 decades in millennia?\nAnswer: 418.4121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**6\/24 + 23*z**5\/60 + 5*z**4\/4 - z**2 - 1. Let i(g) be the second derivative of o(g). What is the derivative of i(h) wrt h?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of r**8\/84 + 5*r**4\/24 - 7*r**2. What is the second derivative of n(k) wrt k?\nAnswer: 80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 10 = 0, -2*p + 5*d + 27 = -6. Suppose 3*b = -5*o + 38, 2*b + 3*o + 0 = 26. Solve m - 8 = 5*f - 28, 0 = 3*m + p*f - b for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-5)*5 + 3. Suppose -4*s - a*b = -2*b - 540, -2*s - 4*b = -270. Suppose 0*t - 5*t = -s. What is the highest common factor of 108 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 0 + 4 - (-19 - (17 - 57))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 871847.3 rounded to the nearest ten thousand?\nAnswer: 870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55408000 and 400.\nAnswer: 55408000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 1570*t + 110711. What is k(-74)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 13*h**2 + 25*h. Let y(g) = 62*g**2 + 129*g - 2. Calculate -19*b(i) + 4*y(i).\nAnswer: i**2 + 41*i - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/696 and -37\/2088.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/8)\/(58080\/264000)?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 183006757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + i + 4. Let h = i + 2. Suppose -h*w + 8 = -2*w. Solve -5*x + 4 = 3*f, -5*x - w*f = -3*f - 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-3)\/12*-6)\/(-3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 84444881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) - (-2*sqrt(704) - sqrt(704))) + 0 + (-1*sqrt(704)*-1)**2 - -6*(-1 + sqrt(66)\/sqrt(6)*1)**2) + 0.\nAnswer: 20*sqrt(11) + 776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 37*h**2. Let j(b) = -5*b**2 + 2. Let c(v) = 8*v + 22. Let q be c(-3). Let m(k) = -26*k**2 + 11. Let g(d) = q*m(d) + 11*j(d). Determine o(g(i)).\nAnswer: 333*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -69\/5 (b) -5 (c) 0.2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 7*r - 6. Let k(l) = -l**3 + 6*l**2 - 3*l - 5. Let u be k(5). Determine g(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 78 + 4. Let g = 138 - c. Suppose 2*i - g = i. 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 6*t = 4*t - 16. Let i = 88 + t. Calculate the greatest common divisor of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/9 and (-45)\/(-16) - (60\/36 + -1)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -40, 0, 2, 1\/2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 169*x + 120. What is the smallest common multiple of 880 and f(0)?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51150 (base 7) to base 11.\nAnswer: -9382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230442?\nAnswer: 2, 3, 193, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 159.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**2 + 570*w + 1611. Give p(-186).\nAnswer: -621","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -164 times -1387?\nAnswer: 227468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 30808 divided by -7702?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4 = -q. Suppose -5*r + q + 6 = 0. Differentiate 0*a - r - 4*a + 2*a with respect to a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p**2 + 25*p + 5*p**2 + 38*p - 7*p to l*p + n*p**2 + g and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 16) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uaupuuupuauauupaupu. What is prob of sequence aa?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1675 + 4256. What is the thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000114111115 rounded to 6 decimal places?\nAnswer: -0.000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.109 and 8031?\nAnswer: 8031.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9426 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 52512893?\nAnswer: -1\/52512893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -651\/1564 - 5\/92. Let t = 67\/34 + d. Let p = 20 + -19. What is the nearest to p in -0.4, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 12) + 1 + 3 + (1 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/14, -3, 0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -373934 (base 10) to base 5.\nAnswer: -43431214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -12440040044?\nAnswer: -12440040043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2309*s - 2307*s + 5*z, 5*z - 3 = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*r - 4, 4 + 18 = 3*r - 5*v. List the prime factors of (2 - r)*(0 + 354\/(-4)).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 244, 0.1, 2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.3 + 6. Let s = 0.73 - j. Which is the second smallest value? (a) 2 (b) -1\/4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*p**2 + 5*p**2 - 2*p**2)*(2 + 2486*p + 31*p**2 - 2486*p) in the form k*p + x*p**4 + a + b*p**2 + v*p**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 2*h**2 - 18*h - 4. Calculate j(-10).\nAnswer: -1024","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2 = -2*b. Let u be b + 0 + -1 + 0. Let i = u - -5. Solve 5*x = -15, -v - i*x = 4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.052736 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10142 + 10161. Let y = 13 + -9. Solve j - y = 5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51) - (sqrt(153)\/sqrt(3) - sqrt(51)))*6)\/(-2*sqrt(12)\/sqrt(4)).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1431 - -1487. What is the greatest common factor of s and 1932?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92 - 89. Suppose -m*o - 855 = -5*i + 2*i, 885 = 3*i + 3*o. Is 58 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 21*d - 1371. Calculate j(-32).\nAnswer: -1019","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1511, 3023, 4535?\n\"Answer: 1512*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 5)*(w - 2*w + 3*w) - 362*w + 2428*w + 2788*w to i + d*w and give d.\nAnswer: 4852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 858 = 5*c, -3*c + 5*y - 8*y + 510 = 0. Suppose 24*l - c = -6. Solve 6*z = -l - 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 2, -1, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**4\/2 - 819*x**3\/2 + 90481*x**2\/2 + 899811*x\/2 - 1077505 = 0?\nAnswer: -11, 2, 143, 685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/5)\/h)\/h**(-40) assuming h is positive.\nAnswer: h**(191\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (42\/(-15))\/((-2)\/30). What is the common denominator of -67\/16 and (-139)\/(-112) + (-18)\/q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + q - 3, 2*q - 4 = -2*q. Sort 2, 15, x.\nAnswer: x, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-21) + 72\/63. Suppose 12 = -k + 4*k. Suppose -2*n - 6*u + 16 = -k*u, -5*n = 3*u - 30. Put q, -2, n in increasing order.\nAnswer: -2, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2593 + -2594.4209. What is l rounded to two dps?\nAnswer: -1.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -3. What is the derivative of t + k**4 - 4 - 4 wrt k?\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 671, 601, 531, 461, 391, 321?\n\"Answer: -70*y + 741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15519 + 7783 - 679*h + 7736.\nAnswer: -679*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-165)\/(-10))\/((-2)\/(-44)). Calculate the remainder when f\/21 - (-4)\/(-14) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-6) + (-320)\/(-30). Is 14 a factor of (-272)\/(-10) - (-8)\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67566 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2183, 2210, 2249, 2300, 2363, 2438?\n\"Answer: 6*v**2 + 9*v + 2168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 239*c - 11260. Give q(67).\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*g - 20 = 2*f - 115*g, -35 = -16*f - 3*g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -7. Let p = x + -3. What is the biggest value in p, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 30*f - 160. Let d be j(3). What is the closest to 1\/3 in d, 2\/9, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106 - 114 + 219 - 8*b + 4*b + 4 - 4 - 2*b + b + 2*b + (4 + 3 - 5)*(3*b + 0*b - 4*b))*(-2*b - 2*b - 6*b).\nAnswer: 50*b**2 + 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) - (1 + sqrt(245))*-5) + 3 - (-2*sqrt(245)*-3 + ((sqrt(245) - (sqrt(245) - (-2*sqrt(245) + sqrt(245)) - sqrt(245))) + -2 - sqrt(245))))**2.\nAnswer: 140*sqrt(5) + 345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-480)\/30 + 51) - 1.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*q - 106 + 106)*(-8*q**3 + 7*q**3 + 0*q**3 + 1).\nAnswer: -13*q**4 + 13*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 720 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*t, -5*z - t + 11 = -0*t. Sort -5, -11, 3, 12, z.\nAnswer: -11, -5, z, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*z + 18360 = -282*z - 156*z for z.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -313, -624, -935, -1246, -1557, -1868?\nAnswer: -2179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5423509 + 13?\nAnswer: -5423496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 4 + 5 - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*h**4*x - 7*h*x**2 - 3*h - 9*x**2 + 4*x with respect to h.\nAnswer: -12*h**3*x - 7*x**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47062\/5 bigger than 9412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 357 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/((-5)\/90*3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 j, and 2 e when four letters picked without replacement from {e: 8, p: 2, x: 1, j: 4}.\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*r - 205 - 173. Let h be 0\/3 + 0 - r\/(-24). Let 0*c**3 - h*c**2 + 1\/4*c**4 + 0 + 1\/2*c = 0. What is c?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -17. Let c(x) = 0 - 4 - 167*x + 1. Is c(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 109 in ascending order.\nAnswer: -3, 1, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -2 - (5 - 9). What is the second derivative of t - 10*t - 23*t**2 + u*t - 13*t wrt t?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(12)\/(sqrt(4)*3) - (sqrt(75) - sqrt(75)*2))**2 + (sqrt(162)\/(1*sqrt(9)))\/(-4*(sqrt(24) - sqrt(6))).\nAnswer: -sqrt(3)\/4 + 250\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28001*v**3 - 40456*v**2 wrt v.\nAnswer: 168006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -20. Suppose -3*f = -2*o - 4 - l, 2*f - 4*o - 12 = 0. Calculate the least common multiple of 21 and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*x - 14 = -154*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4727669?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 - 20.6118?\nAnswer: -21.7118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 + 0*f + 46442*f**2 - 46234*f**2 + 3*f.\nAnswer: 208*f**2 + 3*f - 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -239.\nAnswer: 7\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 447 = 453. Suppose k = -3*p + 8088 - h, 14384 = 2*k + 4*p. Round k to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.69, 2\/9, -1.48, -3, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-4\/3)*x*x**5\/x)**(-24))**(-2\/129))**(5\/9) assuming x is positive.\nAnswer: x**(880\/1161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + (sqrt(104) - (sqrt(104) + (sqrt(104) - (sqrt(104) + sqrt(104)*-4))*1) - sqrt(104)))\/sqrt(8).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6193, 12311, 18435, 24565, 30701?\nAnswer: 36843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.367, -0.2, -206?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 5:24 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 56.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144741.\nAnswer: 3, 48247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/31, -24, 0, 0.02, -83, 2 in descending order.\nAnswer: 2, 0.02, 0, -2\/31, -24, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -66341 or 12147?\nAnswer: 12147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 10:51 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29965814.\nAnswer: 2, 14982907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.04 (b) 31.1 (c) 2 (d) -1\/4 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-102)\/(-20655)*81)\/(68\/(-10)) + 35\/306\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.35 + -0.05. What is d rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-560)\/(-196))\/(-20)*2\/(-2)*-2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.5 - -25.5. Let u = o + -34. Let d = 11.2 + u. Which is the nearest to d? (a) 1\/6 (b) -0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21612114959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9792, 19112, 28430, 37746, 47060, 56372, 65682?\n\"Answer: -p**2 + 9323*p + 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -59771 minus -48464997.97?\nAnswer: 48405226.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1476 + -485. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 12:27 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**28*p\/(p*p**(-22)))\/(p\/p**(-2\/77))**9)**(-5\/12) assuming p is positive.\nAnswer: p**(-15695\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 c when three letters picked without replacement from ucccq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 150 = 48. What are the prime factors of y?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2766 - 2493. What is the remainder when p is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95 divided by 1.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76 + 82. What is the least common multiple of 111 and b?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -q**4\/4 + 13*q**3\/3 + q**2\/2 - 7*q - 3. Determine k(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*f**2*q**2*z - 4*f**2*q**2 - f**2*q*z - 3*f**2 - 10*f*q**2*z - f*q*z wrt q?\nAnswer: 16*f**2*z - 8*f**2 - 20*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 + 7*o**2 + 9*o + 22. Determine x(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 139.0792 + 1.9808. What is n rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence baaw when four letters picked without replacement from bfjajfwwfafjff?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29504 a multiple of 330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9, -13, -25, -21, 5, 59?\n\"Answer: j**3 - j**2 - 26*j + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**2\/3 + 10*t\/3 + 280 = 0. Calculate t.\nAnswer: -12, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 163\/1 + 11 + -13. Let o = t - 137. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -11*y + 10*y**2 - 3 + 2*y**2 - y**3 + 3. Let n be a(11). Suppose 1899991 = -n*s - 2*s - 3*d, -2*d + 2850006 = -3*s. Round s to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22565\/41026 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*t + 10, 6*a = 3*t + a + 17. Let q = -0.04 - -2.44. Let f = q + -0.4. Sort t, f, -0.3 in increasing order.\nAnswer: t, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2108 is divided by 42.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*v**3 + 964*v**2 + 37898*v - 12740.\nAnswer: 2*(v + 70)*(v + 91)*(3*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*p - 2*u + 40 = 0, -108 = -4*p + 3*u. Let b = -13 + 19. Suppose q + b*o - p = o, -2*o = 4. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/22 + (3 - (-3464)\/(-1144))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**3 + 678*r**2 - 1347*r + 684. Let x(k) = -2*k**2 + 4*k. Let g(j) = -w(j) + 6*x(j). Suppose g(i) = 0. What is i?\nAnswer: 1, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 0*g**2 - 1\/6*g**3 + 0*g**4 - 1\/540*g**6 + g + 1\/180*g**5 + 0. Let w(h) be the second derivative of a(h). Factor w(i).\nAnswer: -2*i*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -914575\/96 + 9527. What is the common denominator of 7\/180 and x?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13161 - 13189 = 19*r - 26388. Let 2\/3*y**r + 294 + 28*y = 0. What is y?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.079538 meters in nanometers?\nAnswer: 79538000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3138, 6237, 9336?\nAnswer: 12435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 3 + 8 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -2, -9, -5, 84, 5 in decreasing order.\nAnswer: 84, 22, 5, -2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + c - c)*(-3*c**3 + 5*c**3 - 4*c**3) - 2*c - c**5 + 2*c - 2279*c**5 + 10853*c**3 - 10853*c**3.\nAnswer: -2276*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooovbbhbbvpohobbi. Give prob of sequence oo.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (24 - (1 + 0))*-1. Let t = r - -41. Suppose -4*b + 32 = 4*u, -3*b = -4*u - t + 71. Calculate the highest common factor of 121 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -8. Let g = 268.5 - 273. Let d = 8.5 + g. Sort d, 3\/2, x.\nAnswer: x, 3\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -1) + 1 + 3. Let f(t) = -u - t + t - t. Let r be (-46)\/(-14) - 4\/14. Give f(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133245 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18494 = -2*d + 5*z, -176*d - 37024 = -180*d + z. List the prime factors of d.\nAnswer: 9257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2912646159 to the power of 1\/2, to the nearest integer?\nAnswer: 53969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6510541, 13021084, 19531627, 26042170, 32552713, 39063256?\n\"Answer: 6510543*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 777761?\nAnswer: 777761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 - -39. Solve -4 = -h + a*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 603 and 172576188?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1230*y - 107*y + 44664 = -24860 for y.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/31, 110, -0.5?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -26\/3 (b) -1\/2 (c) -6 (d) 0 (e) -1\/4 (f) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 - 3*u + 6. Let k be r(3). Let q(n) = 2*n - 27. Let v be q(k). Let s(g) = -4*g**2 - 3 + 0 + 0*g**3 - 3 - g**v + 6*g. Determine s(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 93\/2 in 0.13, -10\/11, -2?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one quarter of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/7, 1, -3, 9, 36?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**4\/12 + 18*u - 6. Let b(x) = -5*x**2. Let a(r) = -4*r**2. Let m(v) = -2*a(v) + 3*b(v). Calculate l(m(q)).\nAnswer: 49*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-4)*405\/(-2268)*(10 - 2)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + (3 - 4))\/(56\/(-28)). Which is greater: u or -54\/191?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7890*z - 7971*z + 648 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**11*c*c)**19)**(-2\/13))**(14\/9) assuming c is positive.\nAnswer: c**(-7448\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 2:02 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 5368*r - 84864.\nAnswer: -4*(r - 1326)*(r - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (-20)\/(-4)) + 92\/(-18)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {w: 7, f: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-155) - 1224\/1674. Let u(g) = -g**2 + 5*g + 2. Let n be u(6). Let w = -4 + 4.2. What is the nearest to x in w, n, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14097, -14099, -14101, -14103, -14105, -14107?\nAnswer: -14109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 20 - 14 = -2*m, -2*b = -2*m + 22 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {t: 9, m: 7}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -1\/60*w**5 - 2*w - 1\/3*w**3 + 1\/2*w**2 + 0 - 1\/8*w**4. Let d(a) be the first derivative of c(a). Factor d(g).\nAnswer: -(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3 + (3 - 2 - 2)*(-3 + 4 - 2))*(-375*b - 107 + 107).\nAnswer: -1125*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of o*s**4 + 1919*o*s**3 + o*s + 3*o - 92 wrt s?\nAnswer: 4*o*s**3 + 5757*o*s**2 + o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 8:23 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0*v)**(-24)*v\/(v*v**(3\/7))*v**5)\/((v**(2\/7))**(-17\/3)\/(v**(-4)*v\/v**(-1\/5))) assuming v is positive.\nAnswer: v**(-2164\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o + 4. Let m be d(0). Suppose -10 = -m*q - q. Suppose q*r - 4*l - 48 = -0*l, -r + 5*l + 24 = 0. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, j: 1, a: 8, k: 1, d: 1}. What is prob of picking 4 a?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = -u + 1239. Suppose -3*x - 4*w - 232 = 0, -394 = 5*x - 0*w + 3*w. Is 32\/x + u\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3148662 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -618 + 622. Suppose -r*v + 2*m = -m - 1856, 3*m + 12 = 0. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 87058 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-8)\/(-6))*(-3 + 6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.089 + 190.311. Let f = h - 192. Which is smaller: f or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-813)\/6504)\/(1\/(-184)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, l: 1}. What is prob of sequence sssl?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8953\/1356 + -500973\/92660. Let x = 1\/246 + p. Let z = -692\/5 - -139. What is the closest to -1 in 1\/9, z, x?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + sqrt(396))*-5*6.\nAnswer: 30 + 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4141171 * 2\nAnswer: 8282342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4766, 4880, 5000, 5126?\nAnswer: 5258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.186 (b) 5 (c) -3378\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/((-80)\/72).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -3\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**8)**(-2\/17) assuming p is positive.\nAnswer: p**(-20\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -329897 divided by 4?\nAnswer: -329897\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3310*i - 995*i - 2196*i + 1744*i + 9*i**2.\nAnswer: 9*i**2 - 4757*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83773?\nAnswer: 83773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**2 + 75*g - 19. Suppose -7*p + 132 = 6. Let f be l(p). Solve 0 = 5*c - 0*y - 5*y + f, 3*y = -c + 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31088160 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17244330 and 18?\nAnswer: 51732990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m - 21. Let h(x) = -13*x - 85. Let v(t) = -2*h(t) + 9*o(t). Let y be v(-20). Is (y\/1)\/(((-18)\/(-2148))\/3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 2 - 4 + 1 + 0 + (-6 + 1 + 2)*(0 + 3 - 4))*(-3*h**4 + 0*h**4 + 0*h**4).\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -43 + 34. Let r(b) = b**3 + 3*b**2 - 3*b - 3. Let p be r(-3). Let l = m - p. Solve -3*c - 4 = 2*y + 2, 0 = -5*y + l*c + 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - -2 - 16\/1. Let s = n + 70. Suppose -4 = -5*o + s. Calculate the greatest common factor of 48 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -9*s + 6. Let d(b) = -8*b + 5. Let u(a) = 7*d(a) - 6*w(a). Give u(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12390\/24)\/(-59)*4?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j + 0*j + 13*j + 8*j to the form a + i*j and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1760, -1758, -1756?\n\"Answer: 2*y - 1762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 1:15 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 12*q = 6*q - 63. Sort 0, -5, q, 2, -160 in decreasing order.\nAnswer: q, 2, 0, -5, -160","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/231 and -41\/96030?\nAnswer: 672210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1)**(-9)*(v**(-1))**25)**9 assuming v is positive.\nAnswer: v**(-306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*b + 6*b = 36 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 635767 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t**3 - 7*t**2 + 2*t + 9. Let i = -55 + 59. What is the hundreds digit of d(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1923225146.\nAnswer: 2, 37, 25989529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 13894415*k**2 - 16676*k + 17. Let n(p) = -5*p**2 - p + 2. Let g(z) = -6*n(z) + v(z). Factor g(m).\nAnswer: 5*(1667*m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**5\/20 + 6*x**4 + 215*x**3\/2 - 687*x**2. Factor j(c).\nAnswer: 3*(c + 5)*(c + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2321 - 2324. Let i(t) = t + 3*t + 1 + 0*t. Determine i(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -133.0099 + 133.1. Let s = g - 0.09. Round s to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 3) + -6 - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9322, 9321, 9320, 9319, 9318, 9317?\n\"Answer: -g + 9323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23334536?\nAnswer: 2, 769, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 34, 40, 50, 64, 82?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 0 - 2*h - 2\/3*h**3 - 4*h**2 - 7\/15*h**4 + 1\/25*h**5. Let o(p) = 0. Calculate p.\nAnswer: -1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m**2 - 5*m + 7. Let w(x) = 2*x**2 - 2*x + 4. Let c(a) = 2*h(a) - 5*w(a). Differentiate c(k) with respect to k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-197*o - 68*o + 6*o)*(-2*o - 2*o + 3*o + (2*o + 0*o + o)*(0 + 1 + 1)) + (2 - 2 + o)*(2*o - 2 + 2).\nAnswer: -1293*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2345 - -31?\nAnswer: -2314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence svyt when four letters picked without replacement from ytsyyssvyttttt?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9c273 (base 13) in base 6?\nAnswer: 10030033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of l**8\/560 - l**6\/40 + l**5\/20 + 5*l**3\/3 - 17. Let r(g) be the third derivative of j(g). Factor r(f).\nAnswer: 3*f*(f - 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05828 to 3 decimal places.\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 918*h**3 + 410*h**3 - 53*h**3 + 1.\nAnswer: 1275*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 89*i**2 + 27*i**2 - 18*i**2 to u*i + a*i**2 + k and give a.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 10777262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -121, 3, -87 in descending order.\nAnswer: 3, 2, -87, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, u: 8, g: 3, o: 2, d: 1, w: 1}. Give prob of sequence ow.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*a**5\/7 - 976*a**4\/7 - 7552*a**3\/7 + 4072*a**2\/7 + 18516*a\/7 - 14040\/7 = 0. Calculate a.\nAnswer: -39, -10, -9\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 371699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/1232 and -1\/12782.\nAnswer: 102256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18135201 and 5782238.\nAnswer: 398974422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -9181\nAnswer: 9\/9181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 885 = 2*i - g, 37*i - 2216 = 32*i - g. List the prime factors of i.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 44) + (-29 - 9168\/(-96)).\nAnswer: 67\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -4*o + 40, -o = 4*z + z + 15. Suppose o*h - 67 = -3*q, -69 = -5*h - 0*q - q. Solve -3*u - 6 = f - h, 3*u + 2*f - 4 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -22*d - 220. Let b(k) = k**2 + 9*k - 8. Let p be b(d). Is p at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -14. Let k = 31 + -29. Put -2\/11, k, n in increasing order.\nAnswer: n, -2\/11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/3 + 106*x**2\/3 - 904*x\/3 - 5440\/3.\nAnswer: -2*(x - 40)*(x - 17)*(x + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 4. Let r = -19 - -55\/3. Let p = 319\/9 - 35. Which is the nearest to r? (a) q (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 0*n + 0*n**5 + 0*n**3 - 9*n**2 + 0*n**6 + 0 + 16\/105*n**7 - 4\/3*n**4. What is the second derivative of v(u) wrt u?\nAnswer: 384*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23930 divided by -4786.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 10 = 2*v. Let w be (v - 430\/102) + (-4)\/34. Let m = 0.07 + 0.93. What is the closest to w in -1, 0.01, m?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 5:05 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + 0.2. Let u = 0.4 - l. Let d = 0.1 - u. What is the nearest to 0 in 2, 0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -20. Solve -i*x + 4 = 2, -2*x = 2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*w*x**3 + 8*w*x - 2*w + 7*x**2 + 3*x wrt x.\nAnswer: 42*w*x + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -178*x**2. Suppose -16*m = -339 - 77. Let q(t) = 41*t - 13*t - m*t. Calculate y(q(l)).\nAnswer: -712*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.41 and 4991.\nAnswer: -51956.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-9))\/(-1)*3. Let q(j) = j**2 - j + 1. Let b(n) = -5*n + 2. Determine c*q(y) - b(y).\nAnswer: 2*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000041414 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4 + 2. Suppose -2*u + 0*u + 5*b = -497, -f*u - 3*b + 756 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6449663 is divided by 1289927?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*z + 90. Suppose 4*s + 78 = -z. Let q = s + 187. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91 + 70. Let f = -17 - h. Let i(s) = -5*s**3 - 5*s**2 + s - 1. Let p(a) = -a**3 - 1. Let g(j) = i(j) - 6*p(j). Determine g(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1469\/678*(81\/6)\/(-9).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 524010*y - 4192074. Give k(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0415 + 430.0415. Let p = -432 + z. Let o be 23\/56 + 4\/(-14). Which is the nearest to 1\/2? (a) -1\/4 (b) p (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h*u*z**3 - 11*h*u*z - 85*h*z**4 + 6*h + 105*u*z**2 + 2*z**5 wrt z?\nAnswer: 18*h*u - 2040*h*z + 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/1530 and -127\/16932?\nAnswer: 253980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 20 = 5*j, -4*i + 7 - 15 = -2*j for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*k + 27*k + 24*k + (0*k - k + 0*k)*(-1 - 2 + 2).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41078\/4807 + 50\/(-1) - (-3)\/(-11)*2.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 243476198 to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2252 or -2251?\nAnswer: -2251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j - 9. Let n be (-1)\/(-2) + (-33)\/(-6). Let x be f(n). Let k be ((-3)\/2*-3)\/((-2)\/(-12)). Calculate the greatest common factor of x and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -1751*j**2 - 2. Let v(l) = -l. Calculate v(d(w)).\nAnswer: 1751*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -338*m**5\/5 + 68*m**2 - 2*m - 357. What is the second derivative of a(p) wrt p?\nAnswer: -4056*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.3 - 0.7. Let j = g + 5. Let o(m) = -15*m - 1962. Let i be o(-131). Which is the smallest value? (a) j (b) 9 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44ed8 (base 16) to base 8.\nAnswer: 1047330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 115 + -311\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1632)\/17)\/(324\/(-216))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ba when two letters picked without replacement from lllbvalb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 0.448, -1, 0.12, 7?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -190 by 1.\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*t + 33. Calculate the smallest common multiple of 2\/(-7) + (-284)\/(-14) and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 8 + 4*s + 7*s - 1 - 5*s**2. Let o(w) = -3*w**2 + 6*w + 4. Let v(c) = 4*d(c) - 7*o(c). Factor v(j).\nAnswer: j*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 8:52 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 11*d - y = 0, 2*d = -4*y - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11245 - -11252. Solve x*o = 10*o + 3*r - 9, -9 = -5*o - 3*r for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1051256, 4204972, 9461166, 16819838?\n\"Answer: 1051239*p**2 - p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 38. Let w be (-2)\/(-9) + (-1963)\/(-117). Let t(y) = y**3 - 18*y**2 + 16*y + 31. What is the remainder when s is divided by t(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10.04 from 3515.\nAnswer: 3504.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 15\/10*(-8)\/(-3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10556 and 3252060.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence scs when three letters picked without replacement from qqqsqsepscs?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 5:10 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-600)\/(-153) + -4)*6\/(-4). Let f = 5 - 7. Which is the second biggest value? (a) i (b) 1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 5) in base 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 1 = -119. What is the least common multiple of i and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6792, 6791, 6790, 6789, 6788, 6787?\n\"Answer: -j + 6793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-1*10\/(-40)*12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88786 is divided by 292.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108)\/sqrt(4)*-6.\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -64376, -64427, -64512, -64631, -64784?\n\"Answer: -17*t**2 - 64359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -34, -43, -6, 77, 206, 381?\n\"Answer: 23*l**2 - 78*l + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2302 - 2309. Let o(t) = -74*t - 33*t - 20 + 4*t. Is o(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10741553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + 1. Let j = k + -7.7. Let p be (-4)\/(-60) - 1\/(-3). What is the third smallest value in p, j, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 351 divide 3360021396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*y + 0*y - 19*y = 17*y - 585 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxh when three letters picked without replacement from bkihx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*k**2 + 0*k + 1468186*k**6 - 1470589*k**6 + 18*k wrt k.\nAnswer: -288360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zh when two letters picked without replacement from {l: 2, q: 2, h: 1, o: 1, z: 6}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 33*w - 27. Let d be h(-32). Let p(b) = 7*b**2 + 9*b - 12. What is the hundreds digit of p(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/51, 16.8, 5\/3, 2, -1\/2 in ascending order.\nAnswer: -1\/2, 2\/51, 5\/3, 2, 16.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2102 - -4416. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2900*j**2 - 691*j**2 - 8*j**3 - 2209*j**2.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(1\/2)))\/(f\/(f*f**(-1\/2))))**20 assuming f is positive.\nAnswer: f**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-4)\/((-12)\/(-10881)). Let p be 2\/4 + (-67155)\/66. Let t = a + p. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - (1 + -5 + -156) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -81, -180, -281, -384, -489, -596?\n\"Answer: -s**2 - 96*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179 = -36*l + 133 - 350 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5 - 16049108*w + 16049108*w + 2*w**2. Determine v(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3585.3 - -3585. Suppose -4*u - 5*b + 6 - 19 = 0, 0 = -5*b - 5. Put -23, x, u in ascending order.\nAnswer: -23, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.01 (b) 1 (c) 109\/7 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d - 98. Let q be (4\/6*-2)\/((-4)\/84). Let c be y(q). Determine h so that -10*h - 14*h + 9 - c*h**2 + 30*h**2 = 0.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7200*b - 7200*b - 48*b**2 + 1.\nAnswer: -48*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119113 and 311?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, o: 2, r: 5}. What is prob of picking 2 a and 1 r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -24*t**2 - 1077*t + 111. Calculate j(-45).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/1 + (-155)\/(-25).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 6*w - w = 25, 0 = 3*m - 3*w + 15. Suppose 8*r + 12 = 4*r + 3*j, 0 = 2*j. Sort -4, r, m.\nAnswer: -4, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33287*y - 3793 = -33158*y + 5349 - 2692 for y.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, a: 12}. Give prob of picking 2 s.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 + 11*i - 11. Calculate k(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1197901107?\nAnswer: 3, 13, 17, 67, 89, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 1\/3, -1, 19 in decreasing order.\nAnswer: 19, 4, 2, 1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 717*g - 5665. What is d(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14246, 28434, 42658, 56936, 71286, 85726, 100274, 114948?\nAnswer: 129766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-5))\/((-2)\/10). Let p(i) = -2 + 4*i - l*i - 2 - 5. Suppose -5*m = 5*o - 15, -2*m + 4*o + 2 = -10. Give p(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 53082, 53132, 53158, 53148, 53090, 52972, 52782, 52508?\n\"Answer: -2*y**3 + 64*y + 53020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/5 - 138292*h\/5 - 138294\/5.\nAnswer: 2*(h - 69147)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f**5 + 2*f**5 + 2*f**5)*(2 + 0 - 1) + 758*f**5 - 668*f**5 - 4004*f**5 + 1 + f**5 - 3 + 1.\nAnswer: -3915*f**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 858 - 294. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from feffffkkeefefe. Give prob of picking 3 f.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-83)\/9 + (-4)\/(-18). Let n be (-4)\/(-3) - 6\/a. Solve 0 = -z - 0 + n for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1086720*w - 315431*w + 1865369*w.\nAnswer: 2636658*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1309*c**4 + 254*c**3 - 638596*c wrt c.\nAnswer: 15708*c**2 + 1524*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 9:41 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w + 6. Let n(k) = -539*k + 35. Give -5*c(m) + n(m).\nAnswer: -524*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1416*o + 2496 = 1572*o for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2990 and 1664?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13120511 + -3?\nAnswer: -13120514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x + 14. Let c be r(6). Suppose 5*w + 50 = 5*o, -2*o + 5 = 3*w - 0. Let l = o - c. What is the remainder when 45 is divided by l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 6*j + 174. Let f be (-4)\/j*1*(-18)\/(-12). Solve -2\/13*k**2 + f*k**3 + 0 + 2\/13*k**4 + 0*k - 2\/13*k**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -134862541?\nAnswer: -134862538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 - 92*d + 95. Let w be z(45). Let k(q) = -q**2 + 2. Let s be k(0). Let a(c) = -7*c**s + w*c**3 + 5*c**2 + 3*c**2. What is a(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 12402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 16 - 4)*(1 + 2*l**4 - 1 + (l - 6*l + 4*l)*(-3 - 2*l**3 + 3) + 2*l**4 + 89 - 46 + 10) in the form n*l**4 + t*l + d*l**2 + a + j*l**3 and give a.\nAnswer: -1325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + y = 3*y - 4, 5*y - 19 = -2*f. Let r(j) = 10*j - 5*j**2 + 4*j**2 - 13*j + f. Calculate r(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*o**4 - 45*o**3 + 49*o**2 - 229236 with respect to o.\nAnswer: 28*o**3 - 135*o**2 + 98*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.4, -0.055, 3\/8 in decreasing order.\nAnswer: 3, 3\/8, -0.055, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 317813865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-106)\/(-6) + (-2)\/(-6). Suppose 10 = -4*d - m. Let l(t) = -t**3 - 4*t**2 + 6*t + 8. Is l(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40358+-45690937\nAnswer: -45731295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 0, 0, -4, -12, -24, -40, -60?\n\"Answer: -2*t**2 + 6*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + -41.6. Is 2\/5 not equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) - 4*-4*sqrt(25) - (sqrt(225) + 2*sqrt(225))\/sqrt(9))\/(sqrt(405)\/(sqrt(450)\/sqrt(2))) + -1.\nAnswer: -1 + 70*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - -19. What is the remainder when d is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 296*t**2 + 16284*t + 1121. What is x(-223)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000043531011 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1758*b - 5340 = -2025*b for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 148\/20 + 9*(-20)\/60\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 2*p = -269 + 265, 4*r - p = -12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2 + 7. Let k(w) = -2*w**3 + 3*w**2 + 4*w - 22. Let t(m) = k(m) + 4*s(m). Determine t(-4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 + 96*c**2 - 540*c - 3888.\nAnswer: -3*(c - 18)**2*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1315 - 2*h - 1332 + 2647.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231*n + 80*n + 74*n + 74*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 7 + (5 - 3 + 0)*(-3 + 0 + 4))*(29*b**3 - 29*b**3 - 2 - b**5).\nAnswer: -6*b**5 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(726) + sqrt(726)*-2).\nAnswer: -sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 10:47 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95979, -193468, -290957, -388446, -485935?\nAnswer: -583424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from wwwwwxwwwwwwwwwwwwxw.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-8)\/6*(-369)\/(-164). Which is the third biggest value? (a) 0.4 (b) -3\/7 (c) 0.012 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**2 + 143*h + 1400. Calculate x(-33).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1051, 1, -25, -552 in descending order.\nAnswer: 1, -25, -552, -1051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2550000 rounded to the nearest 100000?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042334 (base 6) in base 16?\nAnswer: ccb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, b: 3, l: 4}. What is prob of picking 2 l?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -1\/150*v**6 + 0 + 1\/840*v**8 + 0*v**3 + 8*v**2 + 1\/60*v**4 + 0*v**7 + 0*v + 0*v**5. Factor b(x).\nAnswer: 2*x*(x - 1)**2*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -7, 184.\nAnswer: -7, 7, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -k, 2*k + y + y = 0. Suppose k = 2*o - 325 + 101. What is the smallest common multiple of o and 20?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*z**3 - 4*z**2.\nAnswer: -4*z**2*(4*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99 - 54 - 45 - p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 7*q = -2*q + 15, 15 = 3*j - 5*q. Suppose -x + 5 + j = 0. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 38 (c) 9.1 (d) 1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 715703 and 218237?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 5:47 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 - 1)*(5902*b - 2950*b - 2955*b - 2173) + (2 - 5 + 1)*(4 - 4 + 3*b) - b + 0 + 0 as s*b + f and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 28*l**2 - 28*l + 23. Determine g(27).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 12:51 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4770\/(-1908)*-4*1\/5. Solve l*c - 3*a + 182 = 193, c - 5*a = 16 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*p**3\/5 - 242*p**2 - 50964*p\/5.\nAnswer: 2*p*(p + 31)*(7*p - 822)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 15*v**3 - v**2 - 11*v + 21. Determine d(3).\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence un when two letters picked without replacement from nrnnnurnuununnnn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 10:05 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4\/(-3)*1*-18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/29 - 25\/58. Let s = 9 + -14. Let u = s + 5. Are k and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3248 or 3245?\nAnswer: 3245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 15 = 5*y, 3*y = -5*j + 4 - 3. Let d(x) = 6 + x**2 - x**y - 5*x + x**2. What is d(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4017*o**2 + 104443*o - 32. Determine w(26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10562 = -4*c + 18218. Let l = c - 3396. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1930511 is divided by 3170?\nAnswer: 3151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 9612336?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-2) + (2325\/(-11935))\/(11\/231)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 + 693?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-3 - (4 - 2)). Suppose 0 = l + w - 2, 0 = y*l + w - 26. Let k = l + 1. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -163, -242, -325?\nAnswer: -412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.86 - 25523.6?\nAnswer: -25517.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -1. Let z(a) = 2*a + 1. Suppose -198 + 126 = -3*o. Suppose 12*s + o = 36*s. Calculate s*z(u) + 2*m(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -40*z + 15. Let l(g) = -27*g + 15. Let s(x) = -12*l(x) + 8*r(x). Determine s(17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -8*i**3 + 6*i**2 - 10. Let n(h) = -7*h**3 + 5*h**2 - 9. Give -5*a(q) + 6*n(q).\nAnswer: -2*q**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -1\/2*u**2 + 0*u - 6. Let b(p) = 3*p. What is b(s(d))?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**5\/30 + n**4\/2 - 11*n**3\/2 - 35*n**2. List the prime factors of g(-14).\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 12*p**2 - 2*p - 95. Let i be k(11). Solve -b - 4*r + i = 3, -5*b = -3*r - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.576 - 0.424. Sort -3, -1\/6, b in descending order.\nAnswer: -1\/6, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 46.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33.3492 + -36.8. Let a = 0.0708 + s. What is a rounded to one dp?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 55, 5, 2, 4\/337, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u + 3. Let d be n(-3). Let h be ((-2)\/(-6))\/(1\/d). Find the first derivative of r - 3 + h + 1 wrt r.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.880822 months in years?\nAnswer: 0.4900685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 306692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.07685 + -0.29895. What is a rounded to 1 dp?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3691*h*v**2 - 341*h + 6*v wrt v.\nAnswer: 7382*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**34*w*w))\/(w\/(w*w\/((w**(1\/2)*w)\/w)))*(w**24)**(-2\/3) assuming w is positive.\nAnswer: w**(-103\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 909, 3564, 7981, 14154, 22077, 31744?\n\"Answer: -w**3 + 887*w**2 + w + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26346431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from {s: 2, k: 2, j: 8, u: 2, w: 5}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2412 + 2420 - 21*l**2 - 12*l**2 to the form c + o*l + u*l**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15 + 117826?\nAnswer: 117811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4146284.\nAnswer: 2, 59, 17569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 46.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.67368 rounded to 2 dps?\nAnswer: -97.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 4.1\nAnswer: -12.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(18))**2*-1.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52331 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 y = 28260 + -2628155\/93. Let a = y - -1307\/558. Calculate the common denominator of -61\/27 and a.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hct when three letters picked without replacement from {t: 4, c: 3, d: 2, z: 1, h: 1, u: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 59?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58 + 59. Calculate the greatest common divisor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6417 and 276?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 - 3688*m + 3400336.\nAnswer: (m - 1844)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 5*f + u + 26, -4*u + 21 = -5*f. Let o(h) = h**3 + 5*h**2 + h + 6. Let w be o(f). List the prime factors of 1\/(3*w\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (1 - -4 - (11 + -12))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/14240 and 99\/3560.\nAnswer: 14240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ea when two letters picked without replacement from {a: 3, e: 1, g: 4, t: 5}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26178\/9 + -9 + 496\/48. What is the highest common factor of 30 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1000*i**2 + 1953547288 + 325*i**2 - 1953547288.\nAnswer: -675*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/6 + (-10472)\/(-792). Suppose 0 = 2*r + 4*u - 44, -2*r - u + 17 = -12. Which is smaller: y or r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -181, -1, -23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 615*j + 2384 wrt j?\nAnswer: 615","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8627 + -8627.1. Let m = -48 + 20. Let o = -20 - m. What is the nearest to 0 in o, -2\/19, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**3 - 4339*s**2 + 344449*s - 340109 = 0.\nAnswer: -4417, 1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78103 + 78103 - 4*y**2 - 3*y**2.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + (-600)\/54 - -6. Put -7, o, -11 in decreasing order.\nAnswer: o, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -42*d**4 - 44637962*d**3 - 15813894340362*d**2 - 1867474580242548222*d - 3023488819761603412 = 0.\nAnswer: -354269, -34\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k - 2*r = -17*k - 14, 4*k + 7 = -5*r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 846.72 nanograms in tonnes?\nAnswer: 0.00000000000084672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(931) - (sqrt(931) - -1*sqrt(931))))**2 + 3 + -4*((sqrt(1216) - (sqrt(1216)*-3)**2) + 5).\nAnswer: -18*sqrt(19) + 44691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j + 1. Let o = 34 + -22. Let w be (-10)\/6 - 4\/o. Let r(d) = -2*d - 2. Let m be r(w). What is n(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 18*t = -17*t + 11, 8*j = -4*t - 24 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*z - 7. Suppose 5 = 5*l - z. Solve -8*y - 25 = -l*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -430 - -435. Let i(f) = -6*f - 6. Let s be i(-2). Solve -3*h = -9, -h - s = -3*b - x*h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + a59?\nAnswer: a60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13845140449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a microgram in nanograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q**2. Let w(y) be the third derivative of y**5\/20 - 8*y**2. Calculate v(w(l)).\nAnswer: -27*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -101.627938646 minus -37?\nAnswer: -64.627938646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -54 + 5?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 125 = -0*q. Let k = q - -30. Suppose -2*v + 32 = 5*a + 1, k*v - a = 10. Solve -c + v = w + 2, -2*w = -4*c - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88332 divided by 1675.\nAnswer: -88332\/1675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.04, 4, 15, -1\/4, 0.13, -17?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 86 = -80 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 11:52 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 151411114 by 6.\nAnswer: 75705557\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 4*v - 2. Let g be -6*1\/(-42) - (-24)\/(-21). Let u be (g\/(10\/80))\/(4\/2). Calculate q(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of g**3\/6 - 2*g. Let n be s(7). Suppose -4*c = -9 - n. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 852557479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 5*w - 14 = 0, 5*w = -17*d + 16*d - 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-1 - 8) + 12\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -30007c?\nAnswer: 30007a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3184 - -4708. Is 109 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2185, -5497, -6.\nAnswer: -5497, -2185, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -807\/94, -4, -2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 0)*(4*f - 4*f - f**2) + 1763*f**2 - 27206 + 27206)*(-4 - 2*f + f**2 + 4).\nAnswer: 1764*f**4 - 3528*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 581 + 571 + 2*p + p**3 - 1152.\nAnswer: p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpn when three letters picked without replacement from nxnpppnnppnnnpnj?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 0 (c) -7\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-5\/3)*c*c)**(2\/19))**(-28) assuming c is positive.\nAnswer: c**(-56\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -40, -44, -48?\n\"Answer: -4*q - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-1 + 15 - -7).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 41, -4, 2181, 0 in decreasing order.\nAnswer: 2181, 41, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4773 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**2 - 180389. Let a(b) = -12*b**2. What is x(a(r))?\nAnswer: -288*r**4 - 180389","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 27 = -4*a, -53*a = 4*q - 56*a + 34 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 103 = -107 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w - 2 + 2 + (3 - 3 - w)*(-4 + 0 + 3))*((0 + 0 + w)*(1 - 2 - 1) + w - 8*w - 8*w - 2*w - w + 2*w) to l + g*w**2 + n*w and give g.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 316 divided by -153\nAnswer: -316\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x + n + 53 = 0, -5*n - 90 = 617*x - 617*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 6*k**2 - 7*k - 6. Let g be z(-5). Let d be (-35)\/(-2)*g\/5. What is the second derivative of -2*l**5 - l**5 + 7*l - 18*l + d*l**5 wrt l?\nAnswer: 220*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3692730?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17179 - -17183. Which is the third biggest value? (a) -1\/3 (b) 1101 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 7*x + 5. List the prime factors of a(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7314.9476 to the nearest ten.\nAnswer: -7310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -38. Let v(i) = 2 - 2*i**2 + i**2 + 0*i - w*i. What is the units digit of v(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3703, 3563, 3425, 3289, 3155, 3023, 2893?\n\"Answer: x**2 - 143*x + 3845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 3:00 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7076.\nAnswer: 2, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 484250975 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 341089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 142382971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 331202 - -2?\nAnswer: 331210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0)**(-1\/5)\/(b**6*b\/(b*((b*b**(1\/2))\/b)\/b*b)) assuming b is positive.\nAnswer: b**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 983 - 982.9998771. What is j rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2240*w = 5586 - 110866 for w.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3. Let w be f(0). Suppose 2*d = -2*d + 16. Solve w = j - p + 6*p - 3, 3 = -d*j - 5*p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 6:12 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -630, -1692, -3198, -5136, -7494, -10260, -13422?\nAnswer: -16968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2. Suppose u = 3 - 1. Let g(d) be the first derivative of 1\/3*d**3 + 0*d**2 + 0*d + u. Give r(g(h)).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88524 and 12.\nAnswer: 88524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a day in minutes?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + -2)\/(2\/16). Let i = q + -7. Find the first derivative of n**3 - 2 - 3*n**3 - i wrt n.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 + 604 = -2*v. Does 9 divide v\/8*(-47 - -35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 10 + 2*q - 14)*(5*q - 4*q + 0*q)*(0 + 3 - 2 - 3 + 6 - 2 + (-2 + 5 - 1)*(-4 + 3 - 1) - 4 + 2 + 0).\nAnswer: -8*q**2 + 24*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29.9087053 + 0.0915347. Let z = 104 - 74. Let q = c - z. Round q to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 0*r**5 + 0*r**4 + r**2 + 0*r + 1\/70*r**7 + 0 + 0*r**6 - 1\/6*r**3. Find the first derivative of f(l) wrt l.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/14*(-2 + 9\/6)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**5*w**(-3)*w)**5*(w**(-6)*w**(2\/3)\/w*w)\/(w\/(w*w*w\/w**(2\/7))*w**(-1)) assuming w is positive.\nAnswer: w**(365\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112 + 1212?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 i when four letters picked without replacement from fhjjhhxfhjffihjhh.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*v - x, 3*x + 3 = 3*v - 6. Suppose -2*h + 955 = -155. Suppose v*z + h = -z. What is z rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + c = -p + 60, -p - 4*c = -30. Suppose p*g = 35*g + 4275. Round g to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -181066*c**2*z**4 - 17*c**2*z + 968*c**2 - 3*c*z - 7*c - 47*z**4 + 1 wrt z?\nAnswer: -2172792*c**2*z**2 - 564*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjnsjrp. What is prob of sequence js?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 8*g - 5. Suppose 0 = 4*x - 20, 0 = n + 5*x - 13 - 17. Let y be f(n). Let i = -8 + y. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-4 + (-9 - -6))) + 2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 6*c**2 - 4*c - 8. Let i be w(-6). Let d = i - 13. Let f(g) = -d + g - g**2 + 7*g - 3*g. Determine f(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -470*i**2 + 484*i**2 + 547980*i - 1095954*i + 547974*i.\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 16. Let o = 94 + 58. What is the greatest common factor of l and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 1:16 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2619, -5296, -8025, -10794, -13591, -16404, -19221?\nAnswer: -22030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2. Let d(a) = 10*a**2 - 12*a - 12. Let z(k) = -4*k**2 + 5*k + 5. Suppose s = -2 - 3. Let h(r) = s*d(r) - 12*z(r). Give h(o(y)).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 18 = 2*y, -5*y + b + 1 + 20 = 0. Solve -5*g - k + 25 = 0, 0*k + 10 = y*g - 2*k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -296 in ascending order.\nAnswer: -296, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -96\/7*u**7 - 191\/3*u**3 + 0*u**2 + 0*u**6 + 1\/5*u**5 + 0*u**4 + 0*u - 211. Find the third derivative of b(d) wrt d.\nAnswer: -11520*d**3 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y. Let m = -9 - -12. Let w = -2 + 4. Let d(z) = 0 - m + 2*z**w + 3. Give f(d(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19*n**2 - 2*n**2 + 3*n**2)*(3*n - 10*n - 3*n) to r*n + o*n**3 + l + i*n**2 and give o.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, 0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/152 and 86\/57876945?\nAnswer: 463015560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*p**2 + 407*p**2 - 2*p**2 - 9*p**2.\nAnswer: 638*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 7*k**2 - 6*k - 3. Let c(d) = d**2 - d - 2. Let v be c(3). Suppose 2 = -3*n + 4*l, -n + v*l = -0*n + 14. Determine u(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d - 9. Let w be a(-7). Let v = 40 - -8. Suppose v = 5*q - 3*q. Solve w*y - q = y + 4*r, 2*y + 5*r + 2 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 10:11 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h - 3*h + 28 + 4*h**2 - 22 as g*h + w + j*h**2 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -749482*t**3 - 812080*t**2.\nAnswer: -4496892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12900388649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 2, 527, 7 in decreasing order.\nAnswer: 527, 7, 2, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 - 34130*x**3 + 34132*x**3 - 42 - 25 to z*x**3 + u*x**2 + v*x + c and give c.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -3 + (25 - 21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -83 or -87?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3 - (-9)\/18?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9109\/1045 + 96\/11. Which is greater: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*m**2 - 41*m**2 + 4 - 4 - 44*m**2 - m.\nAnswer: 32*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1900)*-2)**2 - sqrt(1900) - sqrt(133)\/(sqrt(343) - -2*sqrt(343)).\nAnswer: -211*sqrt(19)\/21 + 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5 + sqrt(252) + 2 + sqrt(252)) + sqrt(252)*1*2 + -5)**2 + 2.\nAnswer: 6216*sqrt(7) + 50763","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 0. Suppose -11*d - 2903 = -2936. Suppose -q*n + 5*b + 280 = -112, d*b = 0. Calculate the greatest common factor of n and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4bb0 + 7?\nAnswer: -4ba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 z when four letters picked without replacement from {z: 3, c: 8, d: 4, b: 4}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/276 + (-64)\/(-384).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297986093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in nanometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 3\/625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 4*c. Suppose j - 2*w = -5*w + 14, -8 = -2*w. Let o(g) = g**2 + g**j - g**2. Determine o(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6796 by 10.\nAnswer: 3398\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 2*o**2 - o)*(0*o - 2*o**2 + 0*o) - 1 + o**4 + 1 + (-6 + 0 + 2)*(o**4 + 21*o**4 - 41*o**4).\nAnswer: 73*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2603.\nAnswer: 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (0 + 4 + -7 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by 884?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -3*g**2 + 0*g**5 + 0*g**6 + 0*g**3 + 1\/42*g**7 + 0 - 1\/4*g**4 + 0*g. What is the second derivative of w(l) wrt l?\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 3, -2\/23, 0.067, -4?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 35, -3\/7117, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 5*s - 4. Suppose 3*t = -2*t - 20. Let o be -1 - (-2*4)\/t. Let i be g(o). Solve 0 = -2*u + i + 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*6 + (-7)\/7. Let a = o + 182. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94350 (base 10) in base 4?\nAnswer: -113002032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**4 + 0*z**4 + 3*z**4)*(17*z + 18*z - 15*z) - 17 + 21 - z - 5*z**5 - 3 + (z - z + z**3)*(0 + 0 - z**2).\nAnswer: 54*z**5 - z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 21298256222.3 - -5\nAnswer: 21298256227.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -51905, -103772, -155595, -207368, -259085?\n\"Answer: d**3 + 16*d**2 - 51922*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d. Let c(h) = -h**2 + 4*h + 1. Let m(n) = c(n) - 2*s(n). Give m(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2679*z**2 - 2694*z**2 + 5388*z**2.\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 302085933418 and -0.048.\nAnswer: 302085933417.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 545959619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 2)\/(378\/66 - 6). Suppose -m + 13 = 2*z. Calculate the common denominator of 375\/180*(z + 9) and 53\/136.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 6850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126, -170, -214, -258?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b + 44. Let f be a(12). Suppose 10*m = 32 + f. Suppose -5*x + 8*g + 75 = 3*g, -m*x - g + 35 = 0. Solve t - 2*s + 2 = 0, -t - 2*s - x = t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 2*t**3\/3 + 3*t**2\/2 - 5935*t. Let k(z) = 3*z**2 - 3*z. Give h(k(v)).\nAnswer: 12*v**2 - 12*v + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/2 + 3938878*k - 7757379949442.\nAnswer: -(k - 3938878)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5*h - 6. Let n(c) = -4*c - 5. Let i(k) = -6*n(k) + 5*z(k). Let v(b) = 12*b**2. Determine i(v(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.4, 2, 2\/3, 0.3, 35 in increasing order.\nAnswer: 0.3, 2\/3, 1.4, 2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 21 = -4*g, -11661*g + 11663*g = 5*v - 15 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*p, -2879996 = -0*l - 2*l - 2*p. Suppose 0 = 10*m - 13*m - l. What is m rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 10:52 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + 1. What is the nearest to -0.1 in g, -2, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**3 + 115*o**2 + 131*o + 4635. What is w(-29)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 - 11) + 2 + 7. Solve u*g = -g - 30 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 104 or 0.429777?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147, 153, 159, 165, 171?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(2 + (-546)\/274). Let d = h - -129\/1096. Suppose -a - 1 = -2*a. Which is bigger: a or d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -10126?\nAnswer: -10143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 14178145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -9*b**2 + 52. Let v(j) = j. Let q(w) = -2*w. Let k(l) = -2*q(l) - 6*v(l). Determine g(k(p)).\nAnswer: 36*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 37\/5 of a milligram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 29. Let c(d) = -3*d**2 + 86. Let t be (-42)\/126 + ((-248)\/12 - -4). Determine t*w(h) + 6*c(h).\nAnswer: -h**2 + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0109107 to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79*317.45.\nAnswer: 25078.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 12294*h - 530515. Calculate m(-43).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -382.569\nAnswer: -379.569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4095 or -4679?\nAnswer: -4095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 22*b**2. Suppose -4*p = 12, 20 = -q + 3*q - 4*p. Let j(l) = -q*l**2 - 60*l + 31*l + 29*l. Calculate j(n(f)).\nAnswer: -1936*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -581913 and -4230.\nAnswer: -586143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 17*t**4\/24 + 5*t**2. Let d(r) = 2*r**2. What is j(d(a))?\nAnswer: 34*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b (base 16) to base 15\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71 + -49. Let m = 22.3 - j. Which is the second smallest value? (a) 1 (b) m (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 2\/9 (b) 488 (c) -425\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -908 - -274. Let z = -619 - o. Let n(g) = 3*g**2 - 2*g + 9. Let k be n(6). Calculate the highest common divisor of z and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1527290 by -763645.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3, -46, -161, -384, -751, -1298?\n\"Answer: -6*k**3 - k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -254078*i**3*v**3*w + 18*i**3*v*w**2 + 2*i**2*v**3*w**2 - 7*i**2*v**3 + i**2*v**2*w**2 + 3*i**2*v**2 + 26*v**2 + 266 wrt i.\nAnswer: -1524468*v**3*w + 108*v*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 - 8*x**2 - 18876*x - 486720.\nAnswer: 4*(x - 80)*(x + 39)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibbpbpw. What is prob of sequence pbww?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-36) + 19674\/2520 + (-8 - 0).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -26770, -214546, -724354, -1717210, -3354130, -5796130, -9204226?\n\"Answer: -26836*l**3 + 76*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -25996 (c) -0.1 (d) 271\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 - 3*d + 3*d + (-d + d - 2*d)*(0*d - d + 3*d) + (2*d - d + 0*d)*(0*d - 4*d + 3*d) + d**2 - 2 + 2 + 3 to i*d**2 + r + v*d and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zf when two letters picked without replacement from {f: 7, a: 4, z: 1, y: 4, g: 2}?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -2. Solve i + c*i = -3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 0*o - 2*o - 10*o + o**2 + 11. Let g be y(11). Put 5, 4, g in descending order.\nAnswer: 5, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/4 and 24\/191.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 5:22 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -2, 0.78, -0.2, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m. Let t(c) = 105808691*c**2 + 1. Give t(l(g)).\nAnswer: 105808691*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 140 - -21?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2444334114 to the nearest integer?\nAnswer: 49440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -7*a + 10. Let j(x) = 15*x - 21. Let i(m) = -3*j(m) - 5*y(m). What is the tens digit of i(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 2*t**2 - t**2)*(0*t + 2*t + t) + (-4*t**2 + 3 - 9*t**2 + 2*t**2)*(-5*t + 0*t + 3*t).\nAnswer: 16*t**3 - 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(1 - 1 + g) - 2*g + 3*g + g - 1 + 1 - 2*g + 0*g - 1232 + 1226 - 6*g.\nAnswer: -5*g - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 128 divided by -573\nAnswer: -128\/573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.81 + 70.81. What is the third biggest value in r, 1\/2, -0.5, 2\/9, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -298 divided by 1?\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dodododddddddododoo. Give prob of sequence odo.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 41356452 (base 8) in base 15?\nAnswer: b845a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.2 - 12. Let i = p - 1.2. What is the third smallest value in 5, -3, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10595 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(2448)*2*-4)**2 + -4.\nAnswer: 15667196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*a = 29*a + 564. Let m be a\/(-26)*572\/220. Factor m*k**5 + 42\/5*k**2 - 36\/5*k**3 + 6\/5*k**4 - 3*k + 0.\nAnswer: 3*k*(k - 1)**3*(k + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -20*l**5 + 8265*l**4 - 476705*l**3 - 5473740*l**2 + 1398100*l = 0.\nAnswer: -10, 0, 1\/4, 82, 341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(13) - (sqrt(637) - sqrt(13)))*-2 + -1.\nAnswer: 4 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by 7790.\nAnswer: -16\/3895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21555179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25588*b**3*c**2 + 2*b**3 + 13*b**2*c + 70*c**2 wrt b?\nAnswer: 153528*c**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 445564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 558 and 3162.\nAnswer: 9486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8 - ((-104)\/96 - -1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1411663, 2823277, 4234841, 5646355, 7057819, 8469233, 9880597?\n\"Answer: -25*s**2 + 1411689*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37757025?\nAnswer: 3, 5, 167809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 177644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t**4 - 7*t**3 + 11*t**2 + 3*t - 6. Let f(i) = 4*i**4 - 6*i**3 + 10*i**2 + 2*i - 5. Let a(h) = 6*f(h) - 5*r(h). Factor a(w).\nAnswer: -w*(w - 1)**2*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -13*a**3 + 29*a**2 - 60*a + 21. Calculate s(6).\nAnswer: -2103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1278717 and 42999?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - 384\/(-10) - (-8)\/(-20). Is 23 a factor of ((-390)\/a)\/(1 - 273\/264)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5304)\/819)\/34*-21. Solve 8*n**3 + 0*n + 0 + 6*n**2 - 1\/2*n**5 + 3\/2*n**r = 0.\nAnswer: -2, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(33)\/sqrt(3)*-5)*3.\nAnswer: -3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1000*u + 343*u + 316*u + 339*u - 31163 + (-3*u + 0*u + u)*(0 - 1 + 0) + 0*u + 4*u - 3*u as i + q*u and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1276\/9 - 142. Let f = -7 + 7. Which is bigger: f or r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-2 + -2*sqrt(243) - sqrt(243) - (sqrt(243) + (2 + sqrt(243))*-3)) + -4)**2.\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*g**4 - 240*g**3 + 16907.\nAnswer: -16*g**3 - 720*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/145 and 37\/580?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1173*t - 1069*t = -2138*t - 1352 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -573 + 568. What is the nearest to 34 in -0.2, 1\/2, d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 529383?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-208)\/26*((-18)\/45)\/(8\/3).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/((-38)\/1368*-18)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20869, 83445, 187735, 333739, 521457?\nAnswer: 750889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13785, 54642, 122579, 217596, 339693, 488870?\n\"Answer: 13540*n**2 + 237*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 2*y**2 + y - 3. Determine l(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 3:52 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + 0.2. Let f = -1.14 - -0.64. Put f, m, 5\/4 in descending order.\nAnswer: 5\/4, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 7. Let y = 0.3 + -0.1. Is y at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 164.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10778?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, g: 6, e: 1, d: 1, n: 4, l: 1}. Give prob of picking 1 g and 1 l.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310*h - h**3 - 3*h**3 + 30*h**3 - 312*h.\nAnswer: 26*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -603, 0.2, 43, 185.8?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2*3\/(-8) + 431\/(-660) and 6 + (-532)\/91 - (-523)\/234?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*g + 6 + 4, -2*z = -4. Let v = 2 + g. Suppose 6*p = 33 - v. Solve -3*l - p*m = -0*l - 13, 0 = -5*m + 20 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwrpi. Give prob of sequence wpwi.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 72 and 71 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.9 + -9.1. What is the third biggest value in 2\/7, 0.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 + -52. Suppose r + 4*c = 3*c + 6, 2*r - 2*c - m = 0. Solve -r*b = 3*f - 32, f = -4*f - 4*b + 36 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/(-10))\/((-3)\/492). Let i = v + 115. Suppose -9 - i = -6*j. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-252)\/(-8)))\/(10\/60).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 2758.\nAnswer: 6\/1379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17822, 17766, 17708, 17648?\n\"Answer: -w**2 - 53*w + 17876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-74)\/(-37)*(-15)\/3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 308 - 284. Suppose -7400 = -16*j - p*j. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-753)\/3)\/(3 + -4). Suppose 0*m - 2*n + 97 = m, 2*n + u = 3*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**2 - 42*a - 3 + 1\/3*a**3. What is the first derivative of c(b) wrt b?\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.22+9628323.2\nAnswer: 9628319.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 7 = 3*b + 23, 4*b + 8 = 4*n. Let f(p) = 15*p + 12. Let m(a) = 7*a + 6. Let x(j) = -6*f(j) + 13*m(j). Determine x(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1.2, 6, -1\/3 in decreasing order.\nAnswer: 6, 1, -1\/3, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + o + 4 = 0. Let z(h) = -h - 1. Let i be z(-4). Which is the third biggest value? (a) 0.4 (b) o (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(10\/9))**43\/(i**(-2\/11)\/i**(-15)) assuming i is positive.\nAnswer: i**(3263\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 91*j - 3549. Calculate x(38).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/(-20)*8\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -6 - (1 - -3) - -1) + -16.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gnoggygygnyynyorngrg. Give prob of picking 2 n, 1 y, and 1 r.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -77*l**2 + 3*l + 2. Let x(u) = 78*u**2 - 3*u - 2. Let f(m) = -4*q(m) - 3*x(m). Is f(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/163320 and -173\/11088.\nAnswer: 75453840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 4. What is the lowest common multiple of c(-1) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 2*z - 2. Let d(w) = w**3 - w**2 + w + 1. Let g(v) = -d(v) - q(v). Let t be g(-1). Solve -2*h + 25 = t*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75320257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 33 + 33)*(110 - 56 - 229).\nAnswer: 350*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31)\/15 - -1 - (-10)\/25.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 3:57 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 396886358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 + (-2 - 3 - (-309 - -277))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 256019295 a multiple of 673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/3))**(-28)\/(s*s**0)**16 assuming s is positive.\nAnswer: s**(-104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2578.11953 and -78817?\nAnswer: 81395.11953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5 + -3 + (5 + sqrt(147)*-2 - sqrt(147)) + 2)*2)**2 + 4.\nAnswer: -24192*sqrt(3) + 89860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 11*r**3 - 10*r**2 - 13*r - 11. Let d(o) = -5*o**3 + 5*o**2 + 6*o + 5. Calculate 13*d(y) + 6*z(y).\nAnswer: y**3 + 5*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/2 + 595811*p**3 + 354989556097*p**2\/2 - 354991343532*p + 177495969672.\nAnswer: (p - 1)**2*(p + 595812)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -364 + 375. Suppose 43 = l*g + 10. Solve -11 = 2*i - 5*y + 3, -3*i + g*y - 3 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 499 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2325 and 171?\nAnswer: 132525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t + t - 8 + 0*t. Let q be c(-9). What is the remainder when 23 is divided by q\/(-2 - 27\/(-13))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 517, 2069, 4655, 8269, 12905, 18557, 25219, 32885?\nAnswer: 41549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1041 divide 1710214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-533)\/(-91)) + (-71631)\/(-3822) + -19?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*c - 42*c - 47*c - 45*c - 47*c + 220*c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -41392892 divided by 20696446?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*k**2*n - 426*k**2*s + 3*k**2 + k + 17*n + 15*s + 3 wrt k.\nAnswer: 4*k*n - 852*k*s + 6*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8*k + 15 = 3*k, -9 = 2*t + 3*k. Suppose -q + 1 = -3. Let a be ((-7)\/q - -2)*3. Put a, -4, t in descending order.\nAnswer: a, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (140\/(-980))\/(-5 + (-3564)\/(-714))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 13*k**3 - 8*k**3 - 1 + k**2 + k - 4*k**3. Let f be x(-2). Is f bigger than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 595.99506 + -596. Round t to 4 dps.\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 8*r - 13*r - r + 171.\nAnswer: -24*r + 171","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13 - 1027*s - s**2 + 1027*s wrt s?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -861180 at most -861085?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21.832799 - -21.83. Round y to four dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 786636.\nAnswer: 2, 3, 21851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 810198.4707 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 6 = -v, -18*r + 15*r + v + 1 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0 + 1 = -2*w, 29 = 5*n + 2*w. Suppose -4 - 8 = 3*v. Let c = n + v. Sort 5, c, 3 in decreasing order.\nAnswer: 5, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 99.356 + -99. Let m = -0.36 + i. Round m to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*z = 141, 30 + 20 = p + 4*z. Suppose 0 = 2*x - 27 - 131. Suppose -5*v + p = -x. Does 17 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2267871 is divided by 3073?\nAnswer: 3070","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/9)\/s)\/s**3)\/(s**(-1))**(2\/81)*(s**(1\/3))**35\/(s\/s**3*s*s**(1\/7)*s) assuming s is positive.\nAnswer: s**(4406\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 77?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/2, -6\/13, -9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1154077463.\nAnswer: 7, 11, 23, 443, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -7, -2\/13 in decreasing order.\nAnswer: 11, -2\/13, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.9 + -1.1. Let w = r - -5. Suppose 9*t + 4 = 4*t + u, 0 = 5*t + 5*u - 20. Which is the biggest value? (a) w (b) 2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73093 is divided by 349?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lyly when four letters picked without replacement from lyymyla?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + h = 2, 0 = 173*w - 168*w - 5*h + 40. Which is the fourth smallest value? (a) 2.2 (b) -10 (c) 1 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncztnacaatfzfaza. What is prob of picking 1 c and 1 a?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 4) in base 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6003, -135, 8 in descending order.\nAnswer: 6003, 8, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-224391)\/4*412\/(-309) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29853 bigger than -507500\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9\/7, -5\/4, -1?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2 - 2735*o + 228528. Determine t(79).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -55727 (base 9) in base 15?\nAnswer: -ae97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0368742 rounded to three dps?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + d - 4261 = 0, 5*u + 2*d = -3*d + 4245. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11104)\/150 - (-8516)\/319350.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6271232 - -6271225.2997675. Let p = -6.7 - s. What is p rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4\/k*k*k\/k**(3\/10))\/((k**3\/k*k)\/k**(-2\/15)) assuming k is positive.\nAnswer: k**(47\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -7*y**2 - 1545*y + 9339. Give l(6).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 60*h - 1918. Let r be d(32). Suppose 0 + 2\/9*k**4 + 2\/9*k - 2\/9*k**3 - 2\/9*k**r = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 66 + 28 + 150*q.\nAnswer: 150*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5315760553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 + 1)*(-3*s - 3*s + 5*s) + 0*s - 2*s - s + (-4*s + 2*s + 4*s)*(4 - 2 - 4) to the form i + c*s and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6342, -6333, -6310, -6267, -6198, -6097, -5958?\n\"Answer: g**3 + g**2 - g - 6343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12 - (0 + 0))*2. Let j(g) = 2*g**2 - 56*g + 410. Let y be j(12). Let i = y + b. Solve -z = i*z - 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 5*q**2 + q + 2. Let i be h(5). Let n be (-2)\/i + (-312)\/(-14). Suppose -2*m - 2 = -2*k - 18, 0 = 4*m + k - n. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 3*r = -48, 367*g - 362*g = 5*r + 40 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -572.6666 - -572.679700805. Let v = -0.0131 + s. Round v to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dzdadaadakaadazzd. Give prob of picking 2 a and 1 k.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*z + 2\/7*z**2 - 2\/7*z**4 + 0 + 4\/7*z**3.\nAnswer: -2*z*(z - 2)*(z - 1)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29488 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 + 1113\/63)\/((-1)\/(-45)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544*o + 543*o = -5, 5*k - o + 15 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 330\/(-301) - (-654)\/(-14061). Let m = 1\/17 + 23\/187. Which is the closest to 2\/3? (a) j (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 1 + 1)*(-7*p**2 + 4*p**2 - 8*p**2).\nAnswer: 22*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/462*-2*88\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-47 - 9) - ((-6)\/(-2) - 3)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 80 = -i. Suppose -h - 6*p = -p - i, 4*h = -4*p + 32. Suppose a = 2*m - 23, 4*m - h*a - 43 = -0. Solve -37 = -5*w - m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -792 + 8 = 49*t. Let d be (t\/(-60))\/((-15)\/(-100)). Factor -4\/9*o**2 - 4\/3 - d*o.\nAnswer: -4*(o + 1)*(o + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*o = 42. Sort 5, o, 2 in ascending order.\nAnswer: o, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 321024 and 262656.\nAnswer: 2889216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 7:03 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*p, -5*f + p = -90. Let o(q) = -q + 12. Let c be o(0). What is the highest common factor of c and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*g = -9, r - 2*g = -2*r - 15. Let t be (10 - 9) + (-2 - (-2)\/1). Put t, r, 6 in decreasing order.\nAnswer: 6, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.957 - 0.043. Which is greater: x or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5450814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 218.\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149, 193, 239, 287?\nAnswer: 337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 2. Let i be (-5)\/d + 4\/14. Let m = 1099\/8 + -137. Is m < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -644222244 by 2.\nAnswer: -322111122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 4 = 2*x. Let l be x\/6*2 - -2. Sort -4, 0, l in descending order.\nAnswer: 0, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -116, -445, -990, -1751?\n\"Answer: -108*u**2 - 5*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 27 = 3*o, 4*o - 79 + 65 = 10*q. Calculate the highest common factor of 143 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wlwhjwlllwhqwj. Give prob of picking 2 l.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 13*c**2 + 13*c - 15. Determine m(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2877 is divided by 1428?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -632*u - 1878*u + 889*u - 1286*u to d*u + i and give d.\nAnswer: -2907","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6860)\/(-819))\/(-28) + (-1)\/(-13).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*((l*l**(2\/11))\/l)\/l*l))\/l)**32*(l*l\/((l\/(l\/(l*l*l**21\/l*l)))\/l))\/l*l**8*l assuming l is positive.\nAnswer: l**(-548\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-3\/23))\/(n\/n**(4\/9)*n)*n**(-1)*n\/n**(-7) assuming n is positive.\nAnswer: n**(1361\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from ffffffjjfjjfjfdjff?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2 = 0, -3*p + 3*h - 2*h = -509. What is the third derivative of -6*w**2 - p + 170 + 6*w**4 wrt w?\nAnswer: 144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*d*p**2*t - d*t**2 + 42317*p**2*t**2 - 4*p**2 - 13*t**2 - 13899 with respect to p.\nAnswer: -8*d*p*t + 84634*p*t**2 - 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(-2*p**3 - p + p) + (-20 + 11 + 5)*(-p**2 - 2 + 2 + 1)*(-9 + 7*p + 9).\nAnswer: 32*p**3 - 28*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*p - 249328 + 249328.\nAnswer: 41*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5\/2*x**2 - 10 + 10*x = 0. What is x?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 379 divide 726922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/5)*w*w**(-2))\/(w**(1\/4)*w*w)**(-3))**(-8\/3) assuming w is positive.\nAnswer: w**(-214\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 i when three letters picked without replacement from sssssppipisssspissa.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -267 * -0.49.\nAnswer: 130.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19090 - -19202. Solve y*t = 111*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 10*h = -5, 2*o = -h + 3. Let y(i) be the second derivative of 0 + 9\/2*i**2 - i**3 - 4*i + 1\/12*i**o. Suppose y(r) = 0. Calculate r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -55*v**3 - 22*v + 22. Let y(c) = 8*c**3 + 3*c - 3. Let b = -631 - -653. Determine b*y(q) + 3*o(q).\nAnswer: 11*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 - 5*l + 5. Let y be (-8)\/(-5) + (420\/50 - 8). Calculate t(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 8\/16 - (-623)\/14?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19923, -39844, -59765?\n\"Answer: -19921*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-10*4*(-4)\/(-32)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 9 = -2*r, -4*r + 0*q - 2*q - 2 = 0. Find the third derivative of -l**2 - 10*l**3 + 4*l**r + 0*l**2 + 0*l**2 wrt l.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -8*b**2 + 2*b - 16*b**2 + 2*b - 7*b + 2*b. What is k(1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 0*o + 0*o**3 + 0 - 1\/8*o**4 - o**2. Let m(q) = 2*q. Give x(m(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -108*y - 1272. What is f(-13)?\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 7. What is the third biggest value in 3, -8, t?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -162584*a**2*d**3 - 54*a**2*d**2 - 851*a*d**2 wrt d?\nAnswer: -975504*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -336*r**5 - 681*r wrt r?\nAnswer: -6720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2982012 or -2982014?\nAnswer: -2982014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*w - 52, 4*p + w = -p - 62. Let x(i) = -i**3 - 12*i**2 - 5*i. Let q be x(p). Suppose -q = -3*v - 30. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -400, -401, -402?\nAnswer: -403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 565785197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (904\/(-1356))\/(10\/(-8085)*-7)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-2))\/(22\/(-11880)). Does 4 divide (u\/(-16) - -2) + 5\/40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110596206.\nAnswer: 2, 3, 7, 89, 29587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.26, 8070, -1\/6, 0 in decreasing order.\nAnswer: 8070, 0.26, 0, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*o**2 + 3 + (3*o - 6*o + o)*(0*o + 0*o - 2*o) + 2*o**2 + 3*o - 3*o + (0 - 2*o + 0)*(13*o - 15*o + 13*o).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vre when three letters picked without replacement from vvrdrkewwrrevked.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -20*o**2. Let a(i) = -27*i. What is a(l(z))?\nAnswer: 540*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 3*a**4\/4 - 6*a**2 - 23. Determine h so that u(h) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p + p - 7*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 + 0 + 0)*(-6*g + 2*g + 2*g) + (-2*g**3 + 1 - 1)*(3 - 3 - 2)*(-5 + 1 + 1)*(31*g + 14*g + 71*g).\nAnswer: -1394*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3291 - -3563.3. Round x to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2499896?\nAnswer: 2, 7, 44641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-328)\/(-3)*(-27)\/(-18). Let b be (178\/x)\/1 - 1. Let n = b + 2793\/902. Calculate the common denominator of 81\/4 and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -g + 13. What is the remainder when 106 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -11*q**4\/24 - q**3 - 23*q**2. Let f be a(-15). Suppose 8*s - 97 = f. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 19\/((-304)\/240) + 13. Suppose 2*r - 27 = -s, 5*s - 5 - 34 = -4*r. Sort 4, r, w in ascending order.\nAnswer: w, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78661, -311775, -700297, -1244227, -1943565, -2798311?\nAnswer: -3808465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123\/(((-16)\/(-104))\/((-8)\/(-4))) is divided by 100?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 + 2673*h - 2650. Let c(s) = 4*s**2 - 2676*s + 2644. Let a(b) = -3*c(b) - 4*l(b). Factor a(w).\nAnswer: -4*(w - 1)*(w + 667)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6, -17, -28?\n\"Answer: -11*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 22 = -3*f, 5*j - f - 14 = 2*f. Let r = j - 3. Let q be 4*((-30)\/(-8))\/r. What is the highest common divisor of q and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/341 and 1\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 105 + -217. Let l = y - -111.99376. Round l to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*6\/(-9) - -4. Suppose 6*v = t*v + 24. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by (8*5\/25)\/(252\/(-260) + 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**4 + 21*s**3 - 5*s**2 - 73*s + 86. Let z(j) = -j**3 - 2*j**2 + j - 2. Let v(x) = 3*d(x) + 21*z(x). What is u in v(u) = 0?\nAnswer: -2, 1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.22 + -0.12. Let i = -1.1 + m. Which is the second biggest value? (a) 4 (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -2*l + a + 3, 4*l - 100 = 4*a. What is the remainder when 54 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-3)\/2)\/((-993)\/(-22508)))?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/(-7) + (-21)\/(-49). Suppose -b*y - 4*f = -2*f - 2, 0 = 5*y + f - 25. Let z(v) = -11*v - 3. Let m(q) = 4*q + 1. What is y*z(p) + 17*m(p)?\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*q - 5*h + 20 = 52*q, -2*q = -4*h + 14 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288 and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2090)\/(-6) + (-7 - (-184)\/24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 670 = 26072\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9542, 10216, 11330, 12890, 14902?\nAnswer: 17372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 252 and 432.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 4:17 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -41, 6, -1 in descending order.\nAnswer: 6, -1, -41, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 139*s - 2943. What is d(-74)?\nAnswer: -7753","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 26*r + 17. Let x be j(-21). Let f be ((-3)\/(-6))\/((-11)\/x). What is the second biggest value in -5, 3\/13, f?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 0)\/((-1)\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 5*x**2 + x + 5. Let t be m(-6). Let r = -757 + 766. Suppose -4*z - t = -r*z. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -194 - -190. Let d be (5 + 7 + l)*4\/(-168). Is -0.3 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 - 0. Let a = 0.6 - r. What is the closest to a in -0.3, 4, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -617.552 to the nearest integer.\nAnswer: -618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microsecond in nanoseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1520 and 77357120.\nAnswer: 1469785280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 71?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*d**3 + 6*d**2 - 427*d.\nAnswer: -222*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 98 * -1.596.\nAnswer: -156.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 4*r + 5. Let m be j(5). Let b(z) = z**3 - 5*z**2 - 6*z + 1. Let u be b(6). Is u not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22250, -44374, -66498, -88622, -110746, -132870?\nAnswer: -154994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -459 - -719. What is the greatest common divisor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -839 - 673 = 9*j. Let k = -166 - j. Solve 0 = k*n + 2*n - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2\/3 + 3769*c\/3 + 1181456 = 0.\nAnswer: -1968, -1801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o - 9. Let k(z) = z**2 - 11*z + 11. Let p be k(11). Let q = p - 17. What is the units digit of j(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mmmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 752 = -166*r + 354*r. Solve -4*f - 13 + 39 = 2*a, -5*f - r*a = -37 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -921? (a) 1 (b) -0.1 (c) 2 (d) 0.4 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 620150 is divided by 536?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17, -32, -63, -116, -197, -312, -467, -668?\n\"Answer: -r**3 - 2*r**2 - 2*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/(-65))\/((-29)\/58)*(-1)\/(-2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 123643 to the nearest 100.\nAnswer: 123600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 5*w + 4168, -12*f = -8*f - 2*w - 5534. List the prime factors of f.\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (660\/1980)\/(6\/(-4)*2).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1273418 is divided by 70?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 119 = -4*x + 310, 4*x - 423 = -5*w. What is the remainder when x is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 4*p - p + 4, -3*p = 2*w + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 91820699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 712 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000364451 rounded to six dps?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 68 = -5*r, -5*r = -2*h + 93 - 6. Calculate the remainder when 67 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 + 12*r**2 - 2*r**2.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6293 + -3867. What is the thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2612965 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w. Let m be a(2). Suppose m*p - 107 = 803. Let d = -254 + p. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 23. Let y = c - 8. Suppose l + 815 = y*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -d**3\/3 - 5. Let b(n) = -6*n. Give b(v(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkxkfwdxdxwqfkk. Give prob of sequence df.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/4 - 148624*a.\nAnswer: -a*(a + 594496)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3722577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-110)\/198)\/((-4)\/(-6)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**2\/2 + 33886*s - 574130498 = 0.\nAnswer: 33886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(11) + -1) - (-3*sqrt(11) + 4).\nAnswer: -2*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 65, 12, 15, 29?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -7251?\nAnswer: 4\/7251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -2. Let x = -33 + 36. Factor -1 + 4*w**x - i + 5 - 2*w**5 - 2*w.\nAnswer: -2*w*(w - 1)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326 = 3*i + 5*k, -226 = 5*i - 7*i + k. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + c**2 + c - 1. Let v(i) = 5*i**3 + 8*i**2 + 25*i - 24. Let g(f) = 6*k(f) + v(f). List the prime factors of g(14).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 422 - -74?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26308*m**3*n**3 - 2*m**2*n**3 + 2*m**2 + 7*m*n + 239*n**3 wrt m?\nAnswer: 157848*m*n**3 - 4*n**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*o = -2457 - 7845. What is the remainder when o is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 0*l + 0*l**2 - 4 - 1\/4*l**4 - 2\/3*l**3. Find the third derivative of i(s) wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1544 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -41*s**3 + 326812*s**2\/3 - 2657*s\/3.\nAnswer: -s*(s - 2657)*(123*s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d**2 + 2*d**2 - d**2)*(-5*d + d + 0*d)*(0*d + 0*d - 2*d) to the form v + b*d + k*d**2 + f*d**3 + n*d**4 and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 5:08 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -259\/38 or -6?\nAnswer: -259\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-21)\/(-12))\/(-7))\/7)\/(252\/1512)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1716*r + 233 with respect to r.\nAnswer: 1716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*t - 900. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 + -16. Let n be (-3 - -1)\/((-18)\/27). Suppose 10 = n*k - 23. What is the remainder when b is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-10))\/(14\/(-35)). Let t = 6 + q. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of r**6\/27 - r**4\/18 - 44. Solve z(u) = 0 for u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 7039*b - 84320. Give j(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1984, 0, -0.2?\nAnswer: 1984","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7*v + 1. Let a be l(0). Let o = 397.92 + -398. What is the second biggest value in -6, o, a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/310 and -42\/31.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 15. Let h = 36.44 + -33.44. Which is the nearest to -1\/4? (a) h (b) 0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 0*s**3 - 17\/200*s**6 - 9\/175*s**7 + 0*s**5 + 0*s - 1\/112*s**8 + 1\/10*s**4 - 22*s**2 + 0. Let r(a) = 0. What is a?\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 3*v + 10, 2*h = -4*v + 6 + 4. Suppose -5*y - 20 = -d - d, -3*d + 51 = 3*y. Calculate the highest common divisor of v and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -62679269\nAnswer: 3\/62679269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 1787*o**2 - o.\nAnswer: -1787*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 3*t + 2. Let i(o) be the first derivative of o**4\/4 + o**2\/2 + o + 1. Suppose 0 = -2*h + 3*l, -l = h + 8 - 3. Determine h*i(g) + n(g).\nAnswer: -2*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**(-2\/5)*a)*a\/a**(2\/15)*(a**4*a)**(-46) assuming a is positive.\nAnswer: a**(-3431\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.037 times 132\nAnswer: 4.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 2*l - 3. Let h be s(4). Find the second derivative of 45 + 3*m**h - 45 - 8*m + 3*m wrt m.\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 527? (a) -723\/7 (b) 1\/4 (c) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 w when two letters picked without replacement from uwuuwuimmw?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4102257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.069 + 1078.706597666.\nAnswer: 1078.637597666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, z: 2, b: 10}. What is prob of sequence zb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3285.114 hours?\nAnswer: 11826410400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 16\/5*x + 2\/15*x**3 + 8\/3 + 6\/5*x**2 = 0. Calculate x.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.203829053 rounded to two dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 194, 182, 168, 152, 134, 114, 92?\n\"Answer: -k**2 - 9*k + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k + 3 + 17 = -40 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 144*i**4 + 142*i**3 - i**2 + 19272 wrt i.\nAnswer: 576*i**3 + 426*i**2 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 30 - 30. Suppose i - z = -6. Calculate the lowest common multiple of i and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14216200 to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -8*k + 944. Is (-1)\/((8\/k)\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 40, 42, 44?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uuuuuuuusususuuuuzuu.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 3 + 1)*((3 - 3 - p)*(3 + 0 - 6) + (1 - 2 + 0)*(3*p + 0*p - p) - 2*p + 3 - 3 - 28*p + 19 - 19) - p + 0*p - p)*(-3 + 5 - 3) to c*p + g and give c.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2255, -7023, -14977, -26123, -40467, -58015, -78773, -102747?\n\"Answer: -i**3 - 1587*i**2 - 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*h**2*r**2 + 75*h**2 + h*r + 2*h + r**2 + 34 wrt h.\nAnswer: -60*r**2 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.2, 1, -20?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -118546*464\nAnswer: -55005344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4 + 1*sqrt(3) - sqrt(3))*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + 4*sqrt(119)*2)\/(sqrt(700)*-1).\nAnswer: -9*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 816*1.\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.4, 286, 5\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 431 + -355522?\nAnswer: -355051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -1174*w**2. Let a(x) = 2*x. Calculate k(a(p)).\nAnswer: -4696*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 616074367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 10:30 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 42\/11 in -513, -1\/2, -0.6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 77, -0.3, 4, 0.1, -24?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1471, 5880, 13229, 23518, 36747, 52916, 72025?\n\"Answer: 1470*y**2 - y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 11 = -5. Find the first derivative of 2 + x**4 - f*x**4 + 5 + 0 wrt x.\nAnswer: -28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 5*k - 4. Let p be n(-4). Suppose -5*h + 327 + 398 = p. Suppose -510 = -5*z - h. List the prime factors of z.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 761, 1079, 959, 407, -571?\n\"Answer: m**3 - 225*m**2 + 986*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -10 + 95. Suppose 5*g + 15 = 0, -5*g - 37 = -y + 24. Suppose -2*k = -y - 22. Calculate the highest common divisor of k and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7921345 to the nearest integer?\nAnswer: 2814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 75 divided by -217\nAnswer: -75\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 + -19. Let x(b) = 5*b**3 + b**2 - b + 2. Let f be x(2). Let n = f - r. Solve -m - 22 = -5*g, 2*g - 3*g = 3*m - n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 12*v - 8. Let a(n) = 2 - 11*n - 19 + 17 + 7. What is 6*a(w) + 5*t(w)?\nAnswer: -6*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 706*v - 13310. Give r(18).\nAnswer: -602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -17*d**3\/3 - d**2 + 61*d + 10. What is the derivative of t(b) wrt b?\nAnswer: -34*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -10, 0, -7, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 4. Calculate d(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0\/o*o)**(-3\/40)*(o*o**(-4)*o*o)\/(o*o**4))**(-2\/9) assuming o is positive.\nAnswer: o**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20468.\nAnswer: 2, 7, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 9606, -9 in ascending order.\nAnswer: -9, -3, 1, 9606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 316712199 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19442691 and 1.3?\nAnswer: 25275498.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -39b + -986?\nAnswer: -d21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 191 + 440. List the prime factors of w.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22900496?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 104864\/208 + 2\/(-13). Let p = -2963 - -2977. What is the highest common divisor of p and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2288*g - 2356*g = 1428 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 8*y - 5. Let j = 26 - 33. Let g be u(j). Solve -l - g = -3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2)*-4 + sqrt(2) + (sqrt(8)*-3 - sqrt(8))\/sqrt(4))*-5*5)**2 + 5.\nAnswer: 61255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 18*o**2 - 1. Suppose -m + 3*m = 66. Calculate the remainder when m is divided by d(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 831*u + 1314*u - 36272 - 34513 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide ((-42)\/(-8))\/(18\/38016)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1036, 2074, 3112, 4150, 5188, 6226?\n\"Answer: 1038*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77318 and 14874.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -514.2 to the nearest 10.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21 and 348?\nAnswer: 7308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10655 - 1929*p**2 - 10655 - 3*p**2 - 3*p**2 + 5*p**2 + (p - 2*p - p)*(-3*p - 3*p + 7*p) to j + n*p**2 + x*p and give n.\nAnswer: -1932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69692777?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 23, 109, 341, 791, 1531?\n\"Answer: 12*u**3 + u**2 - u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 77755.98 milliseconds?\nAnswer: 1.295933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + l - 4. Let r be y(-3). Suppose 85 = -5*h - r*b, -4*h + 0*b + 3*b - 68 = 0. Let t = h + 22. Solve p + 13 = -2*z, -2*p + t*z + 10 = -0*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 205895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 3*h - 3. Let v be p(-3). Let l be (-2 - v)*3 + 1. Suppose 3*s - 28 = -l. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 13. Let t = v + 6. Is t less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1104 and 288.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -88, -3\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 5*d + 343. Let u be h(0). What is the highest common divisor of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t**3 - t**2 - 2*t - 2. Let c be y(-1). Find the third derivative of 3031*p + 2*p**c - 3 + 19*p**2 - 12*p**6 - 3031*p wrt p.\nAnswer: -1440*p**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 z when four letters picked without replacement from zzznzzzznzz?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -15.9 (b) 2\/19 (c) -3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47046480 and 42?\nAnswer: 329325360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 284*c**3*q**3 + 81*c**3*q**2 + 5053*c**3 - 1513*c*q**3 + 2*q**2 wrt q.\nAnswer: 1704*c**3 - 9078*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(57)\/((sqrt(60)\/sqrt(5))\/sqrt(4)))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/376 and -103\/1128.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -23726 at least -23721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -405?\nAnswer: 40a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 54?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 + 0*j**3 - 2*j**3)*(1 - 2*j**2 - 4*j + 4*j) + 0*j**5 - 2*j**5 + 3*j**5 + (-3*j**4 - 2*j**4 + 4*j**4)*(2*j + 0 + 0) - 52*j**5 + 3*j**5 - 3*j**5.\nAnswer: -51*j**5 - j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 0, 22, -3.\nAnswer: -3, -2, -1, 0, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by (-33)\/(-2)*400\/150?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 243700*p**4 - 22*p - 1490 wrt p?\nAnswer: 2924400*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g + 1. Suppose 0*z - 3*z = 0. Let v be b(z). Let u(d) = 92*d**2 - 1. Is u(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/558*6)\/((-30)\/15)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -508, -4039, -13648, -32383, -63292, -109423?\n\"Answer: -508*o**3 + 9*o**2 - 2*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*r = 205, 4*a + 201 = -0*r + r. Let b = a - -25. Is (-10020)\/b - 2\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 5*k**3\/3 - 10. Let n(p) = p**2. Determine t(n(i)).\nAnswer: 5*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwww. Give prob of picking 2 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1584615, 1584749, 1584885, 1585023, 1585163, 1585305?\nAnswer: 1585449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -8*(405\/(-4) - 1)?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a - 1. Let r be k(-1). Let s be (-26)\/(-3) - r\/15. Let o = 19 + -18. Solve 2*g + o = -s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2059794384.1 - -0.419\nAnswer: 2059794384.519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 6 (c) -17 (d) -10\/17 (e) 2\/17 (f) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 233478, -71, -4 in descending order.\nAnswer: 233478, -4, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -0.3, -1\/2, 0.22, -108343?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -0*f + 2*a - 2, -a = f. Let d be (6 - f) + (-4 - -10). What is the greatest common divisor of 40 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - 4. Let p(s) = 6*s + 1. Let q(z) = -9*z + 2 + 0*z - 3 + 2*z. Let k(w) = 4*p(w) + 3*q(w). Let d(b) = 12*b + 5. Determine r*k(h) + 2*d(h).\nAnswer: -3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c - 15 + 10 + 5 + 10*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-19008363.\nAnswer: -5702508.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/31, -2\/7, -35, -21390.8.\nAnswer: -21390.8, -35, -2\/7, 4\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51 + 64. Solve 3*y - 2 - d = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 3:38 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 140783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.6, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -4 + (-264)\/(-30).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 26*d**3\/7 - 32*d**2\/7 - 46*d\/7 + 12\/7 = 0. Calculate d.\nAnswer: -1, 3\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvtvtppvvpac. Give prob of sequence ttcp.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 3 + (4 - (1 - -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -22, -38 in decreasing order.\nAnswer: -0.4, -22, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 + 16*c**2 + 22*c - 36. Let f be i(9). Is f bigger than 16\/139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344 + 176 = 5*u. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0)**(-3)*(y**(-2\/7))**42 assuming y is positive.\nAnswer: y**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -2 - -1 - (-99 + 95)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -559*f = -4014 - 1017 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5 = 8*k. Let a(b) = 47*b - 1. Is a(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - j. Let b = j + 3. Let y be -4*(-3 - 55\/(-20)). Solve -b*c = -3*f - 3, -f - c + 4 = -y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -9\/154, 6, -4\/7 in ascending order.\nAnswer: -4\/7, -9\/154, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 203734 - 203755. Let f(m) = m**3 + 4*m**2. Let d be f(-4). Sort b, -1, d in increasing order.\nAnswer: b, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - d = 2, 3*n + 8*d - 7*d + 9 = 0. Which is the third biggest value? (a) -36\/5 (b) -7\/6 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 331*a - 630. Is v(7) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 15*d = -8*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53 + 55. Factor -17 - 2*m - 7 + 15*m**3 + 42*m + 55*m**c + 4.\nAnswer: 5*(m + 2)**2*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p - 3. Let d be m(3). Let q(h) be the third derivative of -h**4\/24 + 7*h**3\/6 - 2*h**2 - 35*h. What is q(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2888, -2917, -2972, -3065, -3208?\n\"Answer: -2*y**3 - y**2 - 12*y - 2873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 132 or -2111046?\nAnswer: -2111046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*n - 2 = 0. Let j(v) = 3*v - 19. Let l be j(8). Suppose 0 = -q + l*q - 8. Sort -2, n, q in decreasing order.\nAnswer: q, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*s**3 - 117 + 117)*(5*s - 2*s + 2*s).\nAnswer: -105*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*b**2*o**2*p**2 - 2*b**2*o**2 - b**2*p - 6*b*p**2 + 3*b*p - 3*o**2*p**2 - 2*o*p**2 wrt o.\nAnswer: 36*b**2*p**2 - 4*b**2 - 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500369 is divided by 257?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - k + 0)*(-34*k**2 - 6 + 6 - 243136*k + 243080*k) in the form i*k**2 + r*k + n*k**3 + p and give n.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = b - 4. Sort b, 3, -2.\nAnswer: -2, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 5) in base 16?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 1 + -2)\/((-125)\/20 - -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -132.69 + 134. Let x = -0.64 - r. Let t = -0.94 - x. What is t rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 738 divided by 76.\nAnswer: 369\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4942, 7 in descending order.\nAnswer: 4942, 7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 6*z + 2. Let r be u(6). Put -5, -2, r in increasing order.\nAnswer: -5, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -93588?\nAnswer: -93588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, 6, 8?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 9015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2268 + 817 + 19*j**3 + 1451 + 5*j**3.\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*i - 36*i = 0. Let d be i\/(-12) + -1 + -5. Let y(q) = 2*q**2 + 14*q + 5. Let n(b) = b**2 + 7*b + 3. Let m(k) = -7*n(k) + 3*y(k). Determine m(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -589, -974, -1615, -2512, -3665?\n\"Answer: -128*g**2 - g - 460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**3\/3 - 11*v**2\/2 + 227*v + 14. Let b(r) = r - 1. Let k(t) = 6*b(t) + g(t). What is the tens digit of k(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232969903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-seven halves of a milligram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 38 - (67 + -33) - (-1 - 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 354942035 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -100*x + 32. Let c be w(-3). Let l(o) = 58*o + 1575. Let j be l(-20). What is the greatest common divisor of c and j?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 58. Let v = -31 + g. Let r = -2 + 1. Which is the nearest to r? (a) v (b) -2 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hmnhnfnnnnhmf.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/12 and -13\/657194.\nAnswer: 3943164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 204 and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 + 3)*(2 + 0 - 4) - 6 + 11 + 11)*(4041*w**2 - 68*w**5 - 2*w**3 - 4041*w**2).\nAnswer: -1224*w**5 - 36*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 9:15 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 36*l**2 - 6*l - 6. Let d(q) = -13*q**2 + 2*q + 2. What is 8*d(y) + 3*p(y)?\nAnswer: 4*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 144.2 > -0.604?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s = -a + 20, 7 - 18 = -5*a + 2*s - 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**2\/2 - 2. Suppose 0 = 2*q - 2 + 8. What is c(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 + 1 + (-1255 - -1130)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 - -171.1613846935\nAnswer: 171.1213846935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 17*n**2 - 3*n + 38. What is j(17)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from seerdreedeeyeei. What is prob of picking 1 e, 1 i, and 1 s?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**5 + 4*y**4 - y**3 - 4*y**2 = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 685524150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-62 + (-137856)\/(-2256))*2\/(8\/(-18))?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 23. Suppose -5 + 3 = 2*j. Let b be (-1)\/(-2)*i\/j. Solve -f = -2*f - 5*z - 24, 4*z = b*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8923*b + 35*b**2 - 22363*b**3 - 8923*b - 35*b**2.\nAnswer: -22363*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12944223 and 846.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -297\nAnswer: 5\/297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2 = t. What is the third biggest value in t, -2\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, r: 1, h: 4, v: 5}. Give prob of picking 1 h and 1 r.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**7\/14 + 11*w**6\/15 - w**5\/4 - 7*w**4\/6 + 30*w - 7. Suppose b(y) = 0. What is y?\nAnswer: -2\/3, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and (1*(-11)\/(-22))\/(2\/1104)?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zuuu. What is prob of sequence uzu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133847 is divided by 274?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 50523 + -5?\nAnswer: 50517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 1 - (-9)\/11. Let x = 33185\/104434 - -2\/4747. Let f = s - x. Which is greater: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*x + 42, 5*m + 35 = -x + 6*x. Let t be -1 + (-1 + 2)*0. Let k be 2*t\/4*m. What is the highest common factor of k and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1851 + -1123. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*g + 54, -g + 6 = t - 2. Solve 0*c - t = -5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 15*k**2 + 3*k + 2. Let o be f(-1). Let w(v) = -7*v**3 + 5*v**2 - 5*v. Let m(b) = -20*b**3 + 14*b**2 - 14*b. Give o*w(t) - 5*m(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/7963227 or 1?\nAnswer: 4\/7963227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**6\/24 + 103*l**5\/12 + 620*l**4 + 13440*l**3 + 850*l**2 - l. Factor s(p).\nAnswer: 5*(p + 7)*(p + 48)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - 82*z + 438, -80*z + 82*z = -r + 30 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.049436 - -0.05525. What is k rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 87 + -55. Let y = 63 - k. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 450 + -140. Let x = -44456.81 + 44763. Let p = n - x. What is p rounded to one decimal place?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 6:15 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 5*c = 25, 5*l + 5*c - 35 = 0. Suppose 2*v = -l*v + 60. Let w = v + -10. Solve 4*y + 0*y + 2*d + 6 = 0, -5 = 5*y + w*d for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/7, 2\/11, 3\/7, -0.3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 4. Let m(b) = b**2 - 7*b - 7. Let d be m(7). Let v be i(d). Solve v*f + 2*f - 10 = 0, -f + 6 = -4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.38 + 57.38. Let j = 56.8 - c. Let m = 36 + -248\/7. What is the third smallest value in -0.4, m, j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2895 - -14409. What are the prime factors of u?\nAnswer: 2, 3, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21989 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = y - 8*m + 292, -1420 = 5*y + 5*m. Let h = -275 - y. Let p(u) = u**2 - 12*u + 8. Determine p(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -92 - -87. Let i = 85 - 82. What is the closest to -2 in i, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 2:46 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f + 4*b + 18 = 13*f, 3*b + 13 = -f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -5*d + 25, -t - 26*d = -29*d + 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 319 and 725?\nAnswer: 7975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6948827 is divided by 860.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/(-2))\/3 - -2. Calculate the highest common divisor of 150 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 6*k**2 - 16*k - 32. Calculate s(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6772.5682 rounded to the nearest 10?\nAnswer: 6770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13602 less than 13601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12169950 and 8295.\nAnswer: 85189650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 371\/9 - (-4)\/(-18). Let w = n - 122\/3. Put -3\/5, w, -1\/3 in decreasing order.\nAnswer: w, -1\/3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32847*2.792\nAnswer: 91708.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 477 (b) 0 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 61*o**2 + 621*o + 146. Let s be a(48). Let l be -2*3\/(-6)*0. Solve 2 = -s*w - 5*t, -4*w + 3*t - 4 + 0 = l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 7:25 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 796067807072 + -0.1\nAnswer: 796067807071.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 551.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 38?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -43925 in 2\/5, -0.1, 2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 16*v**2 + 2*v + 1. Let d(k) = -17*k**2 - 3*k - 2. Give -2*d(g) - 3*f(g).\nAnswer: -14*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142213, 137327, 132441, 127555?\nAnswer: 122669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -223, 0.4, 5, -0.4, -3 in ascending order.\nAnswer: -223, -3, -0.4, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -3*h + 11, 4*t + 4265 = 2*h + 4267 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -u**3\/3 - u + 34. Let o(z) = z**3 + 4*z**2 + 4*z + 4. What is 4*m(h) + o(h)?\nAnswer: h**3 + 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/(-2)*((-21)\/(-9) - 2). Suppose m*p - p - 5*c = 5, 4 = p - 4*c. Solve 4*g - 2*l + 30 = p, -g = 4*g - l + 30 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 194*x - 6922. Determine y(-46).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -75, -0.2, 2\/5, 0.3 in descending order.\nAnswer: 2\/5, 1\/3, 0.3, -0.2, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22051427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8)*o)**10\/(o**(2\/17)*o*o*o**(1\/5)\/o*o) assuming o is positive.\nAnswer: o**(-6147\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 1\/2 (c) -1\/2 (d) -22.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -545*p**2 + 11975*p - 11430.\nAnswer: -5*(p - 1)*(109*p - 2286)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - 10. Let r = -9 - h. Let b = -14 + r. Is 0 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 396.42 + -401. Let l = d - -0.88. Let a = 3.6 + l. What is the second biggest value in a, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2439830369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/12)\/(1\/2). What is the closest to q in 2\/11, 6, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 6*r**2 - 7*r - 4. Let k be (-3)\/4 + 65\/(-20). Let c be d(k). List the prime factors of (-122)\/(-10) + c\/40.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.079737834 + 0.\nAnswer: -0.079737834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500582 is divided by 29413?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n - 19. Let m(k) = 2*k - 2. Give a(x) + 5*m(x).\nAnswer: 8*x - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2928417 is divided by 732098?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(((sqrt(405) + 2)*-4 - sqrt(405)) + sqrt(405)) - (sqrt(405)*-3 + sqrt(405) + 5 + 1))**2.\nAnswer: 1800*sqrt(5) + 40600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrrasorra. Give prob of sequence av.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvfyl. What is prob of sequence vfy?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -351524000 rounded to the nearest 1000000?\nAnswer: -352000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 10288 = -5*n, -n - 17072 = -5*g + 34440. List the prime factors of g.\nAnswer: 10303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/65831 and -107\/6.\nAnswer: 394986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 26 + 53 + -26 + -37\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76 - -79. Differentiate 251*g**x + 22 + 1 - 227*g**3 wrt g.\nAnswer: 72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xllnxrnxnxxlr. What is prob of sequence nll?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1406*g + 1406*g + 13*g**4 + (-1 - 3*g + 1)*(-128*g**2 + 128*g**2 + g**3).\nAnswer: 10*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 234218125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 279.8258208 to 1 dp.\nAnswer: 279.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 167, 366, 641, 992, 1419, 1922?\nAnswer: 2501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.5 (b) 0.23 (c) -1\/5 (d) -1\/7 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4777514 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2376 + 3*(-20)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*-7*(-9)\/126?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36113*p + 21 + 155131*p - 21.\nAnswer: 191244*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 342741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-23)*o\/(o\/(o*(o\/(((o\/o**(-3\/8))\/o*o)\/o*o))\/o)) assuming o is positive.\nAnswer: o**(-187\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.043, 2, -32?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 20*s + 16*s = -614, -5*s + 1025 = 5*q. Calculate the remainder when q is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**8\/168 + b**5\/12 + 25*b**4\/12 - b**2 - 11*b. Find the second derivative of n(c) wrt c.\nAnswer: 40*c**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 9:45 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -339885*f - 2039221. Give a(-6).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 259*m + 638*m - 264*m.\nAnswer: 115*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -262*r - 513. Calculate l(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*l = -40*l + 275. Suppose 46 - l = -3*u. Let -2\/7*w**2 + 2\/7 - 2\/7*w**u + 2\/7*w = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((-1 - 1) + -3 + 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -5*w**3 - 5925*w**2 - 1758060*w - 1752140 = 0?\nAnswer: -598, -586, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 12, w: 7}. Give prob of sequence nwnw.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**3 - 13*j**2 - 4*j - 2. Let x = 119 - 126. What is the units digit of z(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 1*(19 + -1). Let v be (-4)\/(-10) + (-96)\/f. Let c = -2 - v. Solve 2*j + s - 5 - 1 = 0, -c*j + 12 = -4*s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001028890519 to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(-187)*(-8)\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22373484?\nAnswer: 2, 3, 7, 266351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1275) + 1*sqrt(1275)) + sqrt(1275) - (sqrt(1275) - 2*sqrt(1275)*-1))\/((sqrt(2187) + sqrt(2187)*2)\/(sqrt(9) + 3*sqrt(27)\/sqrt(3))).\nAnswer: -80*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 11 - 15*i**2)*(-i - 2*i + 5*i) + (5*i**2 - 2*i**2 - i**2)*(20 - 5*i - 20) to r + m*i + a*i**3 + s*i**2 and give a.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 21 + -16 - (-6 + (2 - 1)) - -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 166.\nAnswer: -1\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 24920840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*j - 4*a, 3*j + a - 20 + 3 = 0. Let q(n) = -n**2 - n + 14. What is the remainder when q(0) is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -1\/2*f**3 + 1\/8*f**4 + 0*f + 11*f**2 + 0. What are the prime factors of r(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -6004 (b) -1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**2\/7 + 4315*l\/7 - 908646\/7 = 0.\nAnswer: 222, 4093","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 98.1399ms?\nAnswer: 0.001635665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*g + 12. Suppose -28 = -g*v + 2. Calculate the remainder when 11 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 5*o - 6*o + 2*y, -3*y + 168 = -3*o. Let f = o - -85. Sort -3, -5, 1, f in descending order.\nAnswer: f, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -6 (b) 12783.7 (c) 2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -572 + 556 = 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j - 3 = 15. What is the smallest value in 0.2, -9, 5, j?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1304 + -3754. What is z rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 1 (c) -0.4 (d) 2\/249\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/85 and 52\/323.\nAnswer: 1615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -6. Let v be (-53)\/f + (-2)\/3. Suppose 3*i + 2*b = -b + 39, -v = -2*i + b. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v**2 - 4*v + 3. Let j be s(3). Let t = 39 - j. Find the second derivative of -7*x + 16*x**3 + 1 - 1 - 9*x**t wrt x.\nAnswer: 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 781448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/((s\/s**(-7))\/s)))\/((s**(-7)*s)\/s))**(-1) assuming s is positive.\nAnswer: s**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 599 is divided by 104?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**5\/2 + 171489*r**4 + 2743557*r**3 + 13374438*r**2 + 38408307*r\/2 + 8401785 = 0. What is r?\nAnswer: -114310, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 5*i - 6. Let s be (i\/(-4))\/((-2)\/(-12)). Suppose -2*l - c - 16 = -s*l, -2*c = 6. What is the remainder when l is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 8*v**2 + 8*v + 10. Let g be b(-7). Let z = g + 21. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/11 in 2\/15, 3\/5, 2\/3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.071661 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*g**3*k**2 + g**3 - 34*g*k**2 - 2*g*k - 24*k wrt k?\nAnswer: 22*g**3 - 68*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 0.5, 1 in descending order.\nAnswer: 1, 0.5, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nuummnnnnnn. Give prob of picking 1 u and 3 n.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76 - -111. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 2. Let l = -201 + 199. Put l, 23\/3, v in decreasing order.\nAnswer: 23\/3, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 601 = 58*c - 147*c + 868 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2142)\/98 - ((96\/28)\/(-4) - 0)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 4:23 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8733 - 8733.4. What is the second biggest value in 382, c, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/48 and 71\/4530?\nAnswer: 36240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46783 - 46778. Solve 0 = -51*g + 50*g - k*r - 9, -r = 4*g + 17 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 11 = 4*w, -5*w + 3*k - 14 = -0*w. Let n be (-2 - w) + -1 - -6. Suppose -n*u + 28 = 3*q, 2*u + 0*q = -2*q + 16. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 99 - 127?\nAnswer: -6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27*d*o**4 - 3*d*o + 1516*d - 10*o**3 wrt o?\nAnswer: 108*d*o**3 - 3*d - 30*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 295763*p - 1478822. What is m(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381183.\nAnswer: 3, 11, 11551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzztzzztzzzzzt. Give prob of picking 1 t and 3 z.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**4 + 2*d**4 + 3*d**4 + (-2*d**4 + 3 - 3)*(3 - 5 + 1) + 3*d**4 + 3*d**4 - 4*d**4 + (4 + d**2 - 4)*(4*d**2 - 4*d**2 + 2*d**2).\nAnswer: 7*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (7590\/3105)\/((-3102)\/(-9))\nAnswer: 1\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 306525*v - 306524.\nAnswer: -(v + 1)*(v + 306524)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1)\/(-10))\/((-8)\/(-185)) and 103\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -869854093938 and 5.\nAnswer: -869854093933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 5 + 10. Suppose 3*w = m*w - 24. Let o = w - -5. Calculate the remainder when 47 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 318 - 318.17. Is -0.05 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/2761 or 0?\nAnswer: 4\/2761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -288*s + 2098*s + 41630 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69 and 89?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19811 divided by 9?\nAnswer: 19811\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-1))\/(94\/1316))\/((-11)\/11)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -620760264, -620760259, -620760252, -620760243, -620760232, -620760219?\nAnswer: -620760204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 0, -2.4936 in increasing order.\nAnswer: -2.4936, 0, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 12*v + 253. Give y(-45).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -19. Suppose 3*p = -a + 9. Let x = p - -9. What is the greatest common divisor of x and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 12464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 7:02 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3722.37 + -37.13. What is h rounded to the nearest 10?\nAnswer: -3760","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1951*u**3*y**3 - 35938*u**3*y**2 - 43*u**3*y + u**2 - 2201*u*y - 31 wrt y?\nAnswer: 11706*u**3*y - 71876*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176166 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*f = 29*f - 54. Calculate the highest common factor of 45 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35556989*o**3 + 3*o**2 - o - 2673732.\nAnswer: -213341934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152900 + 16211 = 4550*x - 258589 for x.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(-29*d**4 + 1272*d**3 - 1272*d**3) + d**4 + 3*d**4 - 2*d**4 - 3*d**3 - 2*d - 2*d**4 + 3*d**3.\nAnswer: 29*d**4 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 13, 3 in decreasing order.\nAnswer: 13, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11430.81, -5, 0.3, 28.\nAnswer: -11430.81, -5, 0.3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 17080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by (-15)\/(-3) + (-3 - (6 - 8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19.91 - 15.91. Let u = 0.9 + 0.1. Which is the second smallest value? (a) u (b) t (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-32360)\/(-12) - (-4)\/(-36)*-3. Suppose 3*k = -z + 2697, k - 3*z - p = -2*k. List the prime factors of k.\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 37 = -40. Solve -4*t = -l - f, 8 + 6 = 2*t + 2*l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 892800 a multiple of 372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 6:27 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -308848*t - 231815 wrt t.\nAnswer: -308848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42193.854 minutes in days?\nAnswer: 29.3012875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000040432 rounded to six dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (150 + 34*i - 151 + 9*i)*(-18*i**3 + 6*i**3 - 3*i**3).\nAnswer: -645*i**4 + 15*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/6*(0 + 6). Suppose 5*t + z = -15, -2353*z + 2349*z - 41 = t. Suppose -5*o + 2*n - 23 = 0, -o = 4*n - 2*n + 7. Put m, t, o in ascending order.\nAnswer: o, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 13 + 8. Let f be (o\/(-1))\/(1\/2). Solve -2*j - 5 = 3, 0 = 2*y + 2*j + f for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2297 - 1553 = -35*f. Suppose n = 13 - 3. Calculate the highest common divisor of f and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -20*o**2 - 352*o - 876 = 0.\nAnswer: -73\/5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -33330?\nAnswer: 1\/3333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**5\/30 - h**2\/2 + 1. Let u(r) be the second derivative of b(r). Let f(s) = s**2. Give u(f(x)).\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2204 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 324634160 to the nearest integer?\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -124233*s + 58679*s + 62380*s - 4*s + 3*s + 2*s + (5 - 3 - 4)*(-2*s + 3*s - 2*s) to w*s + g and give w.\nAnswer: -3171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*q**4 - 49*q**4 + q**3 + q**5 + 96*q**4.\nAnswer: q**3*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 99*u + 88. Let j = -104 - -125. Is t(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 8*q**3 + 11*q**2 - 7*q. Let c(h) = -9*h**3 - 12*h**2 + 7*h. Let i(g) = -4*c(g) - 5*x(g). Let f(z) = -3*z**3 - 6*z**2 + 6*z. What is 7*f(m) - 6*i(m)?\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4354 - -4?\nAnswer: 4358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3969 is divided by 195.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 804, -1624, -8310, -21384, -42976?\nAnswer: -75216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21676 + -1127097\/52. Find the common denominator of s and -97\/34.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 3*i - 417. Let z = i + 839\/6. Which is the smallest value? (a) z (b) -1\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -183, -370, -557, -744?\nAnswer: -931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107221, 214442, 321663, 428884, 536105, 643326?\nAnswer: 750547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70022?\nAnswer: 2, 157, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 135 = -21. Let x = 82 - 27. Let u = x - g. What is the remainder when 50 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40281723457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240 divided by -48.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f - 2*s = 586, 602972*s = -f + 602984*s - 4 for f.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/10 of a tonne?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = -8*o + 275. Solve -3*z - o + 5 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 20*c**2 - 66*c + 35. Let p be y(16). Solve 5*b = p*j + 1, 5*j - 12 + 1 = 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-25)\/(-6))\/(-25))\/(3\/9)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*r**3 - 85*r**3 + 94*r**2 - 81*r**2 - 69*r**3 - 6*r**3.\nAnswer: -198*r**3 + 13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/251, -1, 3, -3, 6.1, 5\/6 in decreasing order.\nAnswer: 6.1, 3, 5\/6, -1\/251, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -7*x. Let q(u) = 1176*u**2 - 637*u. What is 546*o(c) - 6*q(c)?\nAnswer: -7056*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 693421 is divided by 231139.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50063 (base 9) to base 12.\nAnswer: 17026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88562268 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 12*b. Let g(r) = -14*r. Let p(q) = -5*g(q) - 6*s(q). Suppose -z - 3 = -5. Let t(m) = 5*m - 5*m - 11*m**z. Give t(p(c)).\nAnswer: -44*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 34. Let p be (120\/42 + -2)\/(d\/(-7)). What is the second derivative of 25*r**p - 17*r**4 + 2*r - 13*r - 25*r**3 wrt r?\nAnswer: -204*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1204 + -1395. Let a be (12 - -16)*(-54)\/8. Is r less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309903?\nAnswer: 3, 11, 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -1)\/(464\/(-696) + 13\/15)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -13. Let g(m) be the second derivative of m**5\/20 + m**4\/2 + 2*m**3\/3 - 2*m. Let d be g(y). What is the third biggest value in -3, d, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*1*-6 + -2*(sqrt(77)*-1 - sqrt(77)))\/(sqrt(99)\/(5*sqrt(324))) + 1)**2 + -1.\nAnswer: -120*sqrt(7) + 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1, 11, 45, 113, 227, 399, 641?\n\"Answer: 2*k**3 - k**2 + k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -7*k**4\/6 - k**3\/3 + k**2 - k. Let n = 13 + -19. Let w(t) = -5*t**2 - t + 1. Let j(z) = n*o(z) + 17*w(z). What is j(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*s = 48*s - 5*x + 15905, -5*s - x + 39705 = 0. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d + d + 0*d)*(7 - 10 - 4) in the form p + w*d and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (-59 - (-73 + -39)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-15 - (-42 + -4))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 1 + 3 + -2. Suppose -4*k = z - 63, 3*z = 2*k - 15 - 6. Suppose -v*o - k = -6*o. Calculate the greatest common factor of 20 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 - 4*s**2 - 4*s + 16.\nAnswer: (s - 4)*(s - 2)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279 = 3*m + w - 4*w, -2*m + 3*w = -183. Let d be 3\/((-3)\/(-22)) - -2. Calculate the highest common divisor of m and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1997371 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15544.7 - -15545. Which is the nearest to j? (a) 25\/17 (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 117*d**2 + 2063*d + 4519. Determine m(-96).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 2, 1520\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314320*d**2 + d - d - 628560*d**2 + 314248*d**2.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4013*i*k*u**5 + 81679543*i*k*u**2 - i - 5324*k*u**4 + k*u**2 wrt u.\nAnswer: 240780*i*k*u**2 - 127776*k*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 58*m + 55*m = 0, 32 = -17*v + 2*m - 23 + 17 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 87, 110, -3, -2, 10 in descending order.\nAnswer: 110, 87, 10, 5, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 10:06 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 49. Let k(z) = 16*z - 144. Let f be k(9). Determine n(f).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.185*5.\nAnswer: 0.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 2*n**3\/3 + 7*n**2\/2 - 46*n. Let z be g(-1). Suppose -z*m + 3210 + 2073 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((3 - (-4 - -15)) + 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68 - -133. Is (c - 1) + -6 + 4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 9. Let t be h(6). List the prime factors of -3 - (t + -110 + -3).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 45781*x + 45784*x - 15, -5 = -x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -3*b - 70. Let h = -10 + 10. Solve h = -4*x - 2*f, x - 2*f + b = f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*d - 35 - 24 = 0, -6 = 2*d. Suppose -w*g - 6435 = -28*g. What is the highest common factor of g and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h - 3*h + 4*h)*(7156 - 61480 - 44009 - 65484 + 17832) in the form m*h + i and give m.\nAnswer: -145985","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 6960548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1375 by -275.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 533.2884 take away 90884?\nAnswer: -90350.7116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 + 37*h**2\/4.\nAnswer: h**2*(h + 37)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*n**3 + n**3 + 32*n**3)*(0*n**2 - n**2 + 0*n**2) + (-3*n**3 + 4*n**3 + 2*n + n**3)*(4*n**2 + 0*n**2 - 2*n**2).\nAnswer: -66*n**5 + 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -12*d + 186. Give a(4).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1\/a)\/(a**1\/a*a))**(2\/3)\/((a\/a**(-1\/2))\/((a**(-2\/7)*a)\/a))**(3\/17) assuming a is positive.\nAnswer: a**(-701\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 105 + 2184285?\nAnswer: 2184390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -11. Let a(b) = b**2 + 5*b - 10. Let f be a(-7). Let g be (4\/(-8))\/((-2)\/f). What is the highest common factor of s and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l + 3. Let b be j(3). Let w(c) = b*c**2 - 2*c**2 + c**2. Let u(y) = y + 2. Let t(f) = f + 3. Let s(x) = 2*t(x) - 3*u(x). Determine w(s(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c0b135 + 6?\nAnswer: 2c0b13b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a millennium in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1468253429.5 take away 2.32?\nAnswer: -1468253431.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407481 is divided by 135824.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*l = -86*l + 24 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1156843477?\nAnswer: 47, 24613691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -483 (c) -1 (d) 0 (e) 5\/756 (f) -0.2 (g) -2\/9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2558219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29928 + 7.7104.\nAnswer: -29920.2896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -132.6, 1 in ascending order.\nAnswer: -132.6, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 90 = 5*p, 3*l - 33643*p + 1 = -33642*p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, q: 7, c: 5}. Give prob of sequence quu.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**4 - l**4 + 3*l**4)*(-1 + 3 - 3) - 4*l**4 + 4*l**4 - 2*l**4 + (4775*l**3 + 5200*l**3 - 9082*l**3)*(l + 0 + 0).\nAnswer: 890*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16092616?\nAnswer: 2, 79, 25463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-15) + 6\/15. Let r be -2 + 5 + (o - 2). Solve 5 = 3*k - r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*c - 41*c - 2. Solve 0 = s + 3*w + w + 14, 0 = 2*s - 2*w - c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 107602613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382 is divided by 191.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 26 - (0 - (5 + -7)). Suppose 4*r - j = s, 16 = -0*s - 4*s. What is the smallest common multiple of r and 38?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 12, g: 3}. What is prob of picking 3 g?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/46 in -0.6, -5, 2\/3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 326, 0.4, -1\/4, 1\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 44*b**3 + 136*b**2 - 49*b. Let q(s) = -s**4 - 175*s**3 - 543*s**2 + 196*s. Let f(r) = 22*m(r) + 6*q(r). Factor f(d).\nAnswer: -2*d*(d + 7)**2*(3*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15333943 is divided by 291?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-26228)\/(-20) - 4\/10. Is 2\/(-7) + q\/7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*n - 18 = 4*h, 3*h = -5*n + 6. Which is the nearest to 2\/7? (a) 1\/4 (b) -0.3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 118*b**2 + 396*b + 126.\nAnswer: 2*(b + 3)*(59*b + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1906833 millilitres in litres?\nAnswer: 0.0001906833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.2, 4, -2\/3, -2560, 2\/15, -59, -4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.202653 rounded to two dps?\nAnswer: -27.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11843066 at most -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.21 - 0.51. What is the third smallest value in 0.1, -0.01, 1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**5 + 63*z**4 + 135*z**3 + 69*z**2 = 0.\nAnswer: -1, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 13*q**3 + q - 1. Let y = 3 - 0. Let b be -1*(0 + 2 - y). What is the tens digit of z(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(9\/(-12)) - 1. Suppose w + 542 = p*w. Suppose 364 = 5*x - w. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.6 - -5. Let b = m - -1.6. Put -1, -3, b in ascending order.\nAnswer: -3, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1836 divided by -1188?\nAnswer: -17\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.32 - -0.02. Let a = 0.1 + r. Put a, 5, -1\/7 in ascending order.\nAnswer: a, -1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from ggxgxxx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1240 - -625?\nAnswer: 1865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - 2*o**2 - o)*(4366*o - 1610*o + 2354*o) to the form f*o**2 + c + x*o + l*o**3 and give l.\nAnswer: -10220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.5 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -765888740*d**2*p**3 - 137537*d*p**3 + 2405*p**3 wrt d.\nAnswer: -1531777480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/7))\/y**(-14))**(2\/21)\/(y*y**(-1)*y*y\/((y*y\/(y\/((y*((y\/y**9)\/y*y)\/y)\/y)))\/y)*y*y\/y**(-9)*y*y*(y*y**(-1\/7))\/y*y) assuming y is positive.\nAnswer: y**(-3440\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a + 83*a = 5*a + 576. Solve -30*c + 24 = -a*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47288273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 3:11 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -1.63?\nAnswer: 9.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 100*o**3 + 73*o**2 - 22*o - 7. Let f(h) = 100*h**3 + 77*h**2 - 23*h - 8. Let x(w) = -3*f(w) + 2*m(w). Factor x(u).\nAnswer: -5*(u + 1)*(4*u + 1)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -628*f - 634*f - 614*f + 1938*f.\nAnswer: 62*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n - 96. Let x be j(16). Which is the third biggest value? (a) 2\/19 (b) x (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 9*v + 4. Let f be h(-9). Solve 0 = -7*a + 3*a - 4*u + 16, 0 = -2*a + 2*u + f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*v**2 + 79*v - 18*v**2 - 8*v**2.\nAnswer: -2*v**2 + 79*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*s - 81*s - 152*s)*(4 + 0 - 5) + 21*s + 218 - 218.\nAnswer: 305*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 24472000 rounded to the nearest one million?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 537754792 - 537754795.39195733. Let v = b - -3.819957696. Let p = v - 0.428. Round p to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -42*23\/644*-32. Put 3, -8, m in ascending order.\nAnswer: -8, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.312 + -124.688. Let s = 73766 - 73640.838. Let a = v + s. What is a rounded to 2 dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12359 - 3612. List the prime factors of j.\nAnswer: 8747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131 - -1002013012?\nAnswer: 1002012221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t. Let g be 16\/6 - 2\/3. Let n be (-6)\/4 - g\/4. Calculate the lowest common multiple of p(n) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 612\/2160 - (-2)\/40. What is the smallest value in -103, t, -9?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 2*t**2 + 3*t. Suppose 30*y - 27 = 63. What is the smallest common multiple of 9 and k(y)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-20)\/32*51777\/7845.\nAnswer: -33\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/6 - 469*w**3\/2 - 219961*w**2\/2 - 103161709*w\/6.\nAnswer: -w*(w + 469)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5686 + 2565 = 2*o - z, -2*o + 8245 = -3*z. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 3*r**3 + r**2)*(r + 29*r**2 + 2*r + 0*r).\nAnswer: 87*r**5 + 9*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 595 + 592 - 1150 = 5*s, -6 = 6*g for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**4 + o**2. Let j(z) = 247*z**2 + 625*z**4 - 6*z + 13*z**2 + 4*z - 825*z**3 - 18*z. Let d(c) = 20*h(c) - j(c). Factor d(u).\nAnswer: -5*u*(u - 1)*(11*u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + k**2 + 2171. Let o be g(0). What is the third derivative of p**5 - p**6 + o*p**2 - 3*p**5 - 2182*p**2 wrt p?\nAnswer: -120*p**3 - 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 77*y + 1450. Calculate l(-19).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u**2 - 15*u + 21. What are the prime factors of p(10)?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k. Let d(u) be the second derivative of 5*u**4\/12 - u**3\/3 - 23*u + 3. Give d(a(o)).\nAnswer: 20*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3014201?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.05 (b) 37 (c) -0.0201 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6661*x + 3316*x + 3320*x.\nAnswer: -25*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 not equal to -660.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, 3, -1, -7, -772, 4.\nAnswer: -772, -7, -1, 3, 4, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhpppppccppccghpphpc. Give prob of picking 2 p and 1 h.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fy when two letters picked without replacement from myffm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*j = 0. Suppose 21*n - 15*n = 12. Suppose -4 = -2*x + 2*d - 0*d, 3*x - 9 = n*d. Sort 1, -7, j, x in descending order.\nAnswer: x, 1, j, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t**5 - 5*t**4\/2 + 5*t**3\/3 + 5*t**2 - 263. Let p(r) = 0. Calculate r.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 256 - 208. Calculate the remainder when 526 is divided by v.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1513.874 rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -54\/13 (b) -0.1 (c) 2\/217\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 10) in base 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28675498.\nAnswer: 2, 17, 843397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 3. Suppose 3*u - n - 541 = 175, -959 = -4*u - 3*n. Let z = u - 240. Sort 4, z, b in descending order.\nAnswer: 4, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (6 - 2 - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 11 + -9 + -11?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(3\/2)\/d)\/(d**14\/d))\/((d**(-2\/25)\/d)\/d**(-5)))**(-10\/3) assuming d is positive.\nAnswer: d**(821\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -569 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5063017?\nAnswer: 1531, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171693*a**3 - 3*a**2 + 171695*a**3 - 515081*a**3 + 171689*a**3.\nAnswer: -4*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/3768 and -71\/4048?\nAnswer: 1906608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 - 0) + 30 + -9. Solve -3*p + 2*p - 10 = 3*f, 7*p + d = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*c + 4*u = -82*c + 11, -4*c + 24 = 3*u for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 - -0.1. Which is the second biggest value? (a) x (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -18*o**3 + o**2 - o + 15*o**3 - 39*o**3. Suppose 0 = 34*j - 12*j + 22. Let u be h(j). What is the highest common divisor of 44 and u?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 10:59 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**3\/11 + 4370*q**2\/11 - 13136*q\/11 - 17504\/11 = 0.\nAnswer: -2188, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) + 0 - sqrt(567)) + 1 + 2)**2 + (3 + sqrt(1008))*1.\nAnswer: 12 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/6 + (-23)\/(-2). Suppose w - m = 21, l = w + m + m. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1870\/11220)\/(((-10)\/12)\/(-5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1270, -1271, -1272, -1273, -1274?\n\"Answer: -t - 1269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -23*a + 1121. Let h be d(48). Calculate the greatest common divisor of h and 1088.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 15) to base 9.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/5 + (-186)\/15. Suppose -2*w + 2 = -4. Let a be 3\/x - (3 - w). What is the third smallest value in a, -2\/11, -0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1241, -1, -9, 2, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a - 33. Let g(w) = -w**3 + 6*w**2 - w - 5. Let b be g(6). Let z be p(b). Suppose z*n - 5*n - 2*c = -68, 2*n = 5*c + 4. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1525921\/4880 - -5001\/16. Find the common denominator of 89\/22 and f.\nAnswer: 6710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 13 = -7*l + 3*u, -5*l = 6*u - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + x - 1. Let b(j) = 6*j**2 + 6*j - 5. Calculate 6*b(h) - 33*u(h).\nAnswer: 3*h**2 + 3*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*f + 226 - 91 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1270, -1266, -1260, -1252, -1242, -1230?\nAnswer: -1216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17410709, 17410716, 17410723, 17410730?\n\"Answer: 7*v + 17410702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13605.26 rounded to the nearest one hundred?\nAnswer: 13600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 6*l - 7*l)*(-2 + 1 + 2) - 1 + 2*l + 1 + (-1 + 0 + 3)*(-2*l + 3*l + 0*l) + 4*l - 4*l - l + 0 - 4*l + 0.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 180 and -7816818.31.\nAnswer: -7816638.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1407, 1408, 1409?\n\"Answer: s + 1406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 5*l - 7*l + 2, 0 = 6*h + l + 4*l - 32 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (-81)\/20) + (-2 - -3). Let t = k - 39\/5. Let z = 1.9 + -2. What is the closest to t in -2, z, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 9 + 15 = 0, 3*v = 3*u - 156. Suppose -6 = -2*b - 20. Let g be (-1)\/b + 34\/7. What is the highest common divisor of g and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - o**2 - o + 1. Suppose -n - 5 = 0, -q - 3*n = n + 18. Let h be y(q). Solve h*r = -7 - 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333835 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (310\/225)\/31*(-10)\/6\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -61*n + 23. Let o(u) = 77*u - 23. Let r(i) = 4*o(i) + 5*p(i). Let c(l) = -2*l. Determine r(c(q)).\nAnswer: -6*q + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -h, 17*p + 3*h + 6 = 15*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 14*i**3 - 219*i**2 - 31*i - 73. Is a(30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.152 - -64.848. Let x = -65 + n. Which is greater: -22 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.601398 days to nanoseconds.\nAnswer: 51960787200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 41\/2 of a meter?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/11)\/l)**33\/((l\/(l**(-1\/4)*l))\/(l*l**(-5))) assuming l is positive.\nAnswer: l**(-173\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/10)\/(66*(-3)\/(-108)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -216a1 (base 11) to base 15\nAnswer: -94ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -1. Let f(s) = s + 3. Let t(b) = -2*a(b) + f(b). Let q be t(-8). Let z be (1\/(-2))\/(2\/(-2)). What is the second smallest value in 2, z, q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + v = -4*v - 6, 2*l + v = 2. Let g = l - -4. Let j = -3 - -3. Solve j = 3*u - g + 21 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 843?\nAnswer: -839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*6)\/((-24)\/(-16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + x. Let v be z(0). Solve v*q = q + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1359059567?\nAnswer: 29, 47, 997109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 73504 divided by 2?\nAnswer: 36752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*f = 156*f - 1245. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305559?\nAnswer: 3, 11317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 5*z - 3*s = 4, 2*z = 4*s + 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/2)\/3*0. Let o be ((-282)\/(-329))\/(0 + 275\/10 + 1). Which is bigger: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95 - 23. Which is bigger: -3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 11*k + 14. Let d be o(10). Suppose 0 = -d*j - 0*j. Factor -1\/2*s**3 + 0*s**2 + j + 1\/2*s.\nAnswer: -s*(s - 1)*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11661101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 - k + 1. Let g(z) = 3*z**2 - 7*z - 46. Let m(n) = g(n) + o(n). What is the lowest common multiple of 155 and m(-4)?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = -l + 5*l. Let y(j) = j**2 + 245*j + 2130. Calculate the lowest common multiple of y(-9) and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h**2 - 6*h + 7. Let d(f) be the third derivative of 7\/60*f**5 - 13\/6*f**3 + 0 + 11\/24*f**4 + 2*f**2 + 0*f. What is -6*d(m) - 11*o(m)?\nAnswer: 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v**2 + 224*v - 1230. Give m(5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -335847 divided by -2\nAnswer: 335847\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((26 - 16) + -13 + 2)*11\/(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -2, 2, -33?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -i + 6223. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)*-2)\/sqrt(10))\/(5*sqrt(4)*3).\nAnswer: -2*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 293 and -1 - (8\/(-1) - (-10 + 4))?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 223 - 224. Which is the closest to p? (a) 3 (b) -3\/8 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 30 = -o. Let a = o + -59. Factor 158*k**2 - 80*k**2 - 15*k**3 - 6*k**3 - 39*k - a - 6.\nAnswer: -3*(k - 3)*(k - 1)*(7*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3236*n**3\/17 - 190*n**2 + 6478*n\/17 - 12\/17 = 0.\nAnswer: -2, 3\/1618, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8534237294 to the nearest integer?\nAnswer: 2044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 2, 22952, -4, 0 in descending order.\nAnswer: 22952, 2, 0, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 3)\/((-6)\/36*2). Suppose -v*u = -u - 40. Is u a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2021120 + 3?\nAnswer: 2021123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(3) + sqrt(27)\/(sqrt(144) - sqrt(9))).\nAnswer: 8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 23*t - 40. Let a be o(21). Suppose -h + 2 = -3. Suppose -3*i = a*j - 737, -h*j - 1369 + 99 = -5*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(69\/(-2))\/(-3). Let n(w) = -k + 10 - w - 5*w + 11. Give n(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.29929 to two decimal places.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 22070*w**2 + 132448*w + 176608.\nAnswer: -(w - 22076)*(w + 2)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -17. Let c = -2 + m. Suppose -2*j + 54 = c*d, -j + 90 = 3*j - d. What are the prime factors of j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - w = w + 12, 4*w + 4 = 0. Let z = -2 + q. Suppose l + 2*o + 4 = 0, -16 = -z*l - o + 2*o. Solve l*p + 15 + 13 = -5*k, 5*k + 18 = p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 9, s: 6, z: 2}. Give prob of sequence es.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 200178 a multiple of 297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.469978 - 0.47. Round u to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 0 + 635165*d**2 - 1 + 7*d - 635161*d**2 + 0. Let u(p) = -2*p**2 - 3*p + 1. Determine 2*a(h) + 5*u(h).\nAnswer: -2*h**2 - h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2 - 57*m - 12. Suppose -8*g + 0*g - 224 = 0. What is the least common multiple of o(g) and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58477*b - q - 43 = 58475*b, 2*q + 81 = -b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(3*sqrt(242) + sqrt(242)).\nAnswer: sqrt(17)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101010123 (base 4) to base 6.\nAnswer: -45331455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - 2.4. Let u = 39 + -118\/3. What is the nearest to u in -0.4, t, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -4177, -7383, -4.\nAnswer: -7383, -4177, -4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -24331 and -358\/219 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.4 or 0.71574?\nAnswer: 0.71574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 2 + 1)*(4 - 3 + 0) - 3 + 3 - 1 + (3 + 0 - 2)*(-3 + 2 - 3))*(8*b - 12 + 12) as y*b + x and give y.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 13*h - 12. Let d be o(-14). Suppose d*j - 5*j = 5*s + 8, 4*j - 3*s = 28. Solve 2*q + q + 17 = j*b, 0 = 2*b + 2*q - 12 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2389154621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2\/11 (b) -6 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 - -54. What is the remainder when 38 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 440419\/30 - 29649\/2. Let x = j - -144. Let t = -3\/62 + 71\/186. Which is the nearest to t? (a) 3\/4 (b) x (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-2 + (5 - (2 - 1))). Let b = 30 - a. Let z(o) = -3*o**3 - 4*o**2 + 3*o + 1. Let f be z(-5). What is the highest common factor of b and f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 54, 65, 90, 135, 206, 309, 450?\n\"Answer: m**3 + m**2 + m + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-1\/3)*k))**(-3\/37)\/((k\/((k\/(k**(4\/5)*k*k))\/k*k))\/k)**32 assuming k is positive.\nAnswer: k**(-10661\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5 + 391*o**2 + 11 - 1 + 5*o. Is z(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 691*x + 1222*x - 4691*x = 4438*x + 266992 for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -10. Let u = 14 + d. Suppose 3*b + 3*f + 38 = -2*f, 3*b - f = -14. Is u bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -181, -137, 261, 1187, 2815, 5319?\nAnswer: 8873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 9*r - 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2851 plus -928564395?\nAnswer: -928561544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b**3 + 5*b**2 - 9*b + 6. Let d be o(8). Let q = -36917\/16 - d. What is the common denominator of 11\/8 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206768 is divided by 115.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -33*r**4 - 3*r**3 + 16*r**2 + 5*r. Let b(w) = 33*w**4 + 4*w**3 - 14*w**2 - 6*w. Let v(p) = 5*b(p) + 6*t(p). Find the third derivative of v(u) wrt u.\nAnswer: -792*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 10 - 9*b**3 - 10.\nAnswer: -9*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17223 is divided by 4277.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 21857906762 from 0.4.\nAnswer: -21857906761.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -455 + 495. Suppose 13 = 5*d - 4*d. Suppose 8*o - d*o + h = 0. Solve -j = -o*t + 2 + 3, -25 = 5*j for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/10*(-190)\/114. What is the nearest to -1\/3 in p, 11, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7696879.\nAnswer: 7696879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 316 - 316.7. Let s = h - -0.2. Let r = -0.07 - -0.27. What is the second biggest value in s, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(((j\/j**(-2\/19))\/j)\/j)\/j)\/j**(-3))\/(j\/(j\/j**(4\/7))*j**1) assuming j is positive.\nAnswer: j**(71\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5 + 75583*m**4 - 113383*m**3 - 151169*m**2 + 113381*m + 75586 = 0.\nAnswer: -37793, -1, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 2*t + 1. Let x(z) = 6*z**3 - 4*z**2 - 10*z + 37. Let o(d) = 5*h(d) + x(d). Calculate the remainder when o(0) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278 plus -13397052.16?\nAnswer: -13396774.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 18. What is the lowest common multiple of s and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -158*r - 48166. What is h(-306)?\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 4*k + 4 = 0, -17*s = -20*s + 2*k + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 11:18 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 652 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/5 - -1)\/((-2)\/(-190)). What is the highest common divisor of 95 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - j**2 - j - 1. Let c be p(-2). Suppose -4*w + 2*g = -2648, 4*w - g + c*g = 2660. Does 39 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 29*j - 35. Let n(x) = 7*x - 8. Let l(w) = -26*n(w) + 6*z(w). Let q(k) = k. What is l(f) + 5*q(f)?\nAnswer: -3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 + 1499 - 1499.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - (sqrt(102) + sqrt(102)*-2 + sqrt(102))*3)\/sqrt(6) - ((sqrt(17) + sqrt(153))*2 + (1 + sqrt(833))**2).\nAnswer: -834 - 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by -40023.\nAnswer: 23\/40023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -30093.\nAnswer: -30095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-2)\/3)*315\/(-280).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4104.4277 rounded to the nearest ten?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 5*q**3\/6 + q. Let r(c) = c**2 + c. Let h(j) = -5*j**2 - 6*j. Let a(l) = h(l) + 6*r(l). What is o(a(w))?\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 0.285.\nAnswer: 0.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1358.669 rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 9*f - 238. Calculate the remainder when 63 is divided by s(33).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/5 + 228*q**2\/5 + 4*q\/5 - 912\/5.\nAnswer: -(q - 228)*(q - 2)*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/14 and (234\/(-2236))\/(5\/(-34)*6)?\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 341\/38 + -180\/19. Which is the nearest to -126? (a) 3\/7 (b) o (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 1:24 AM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1576760, -1576763, -1576768, -1576775, -1576784?\n\"Answer: -q**2 - 1576759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) -0.2 (c) -0.125 (d) 3 (e) -4\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ue when two letters picked without replacement from {h: 13, u: 2, b: 1, r: 1, e: 3}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8357579 or -8357582?\nAnswer: -8357579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 438695 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 7 = 2*u + 3*l, -2*l + 2 = 0. Put 3, -4, u, 0 in ascending order.\nAnswer: -4, 0, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*g - 36*g - 2*t - 8 = 0, -g = -t. Solve -3*u + 9 = x - g*x, -17 = 5*x - 3*u for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 7:23 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (92\/16)\/(2 - 23\/12).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/3217658 - 31513742421\/99747398. Let f = -316 - m. Which is bigger: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*m - 20, 3*m + 3*t = -t + 20. Suppose x = 4*j - 3, 5*j + m*x + 12 = -4*x. Which is the nearest to j? (a) 3 (b) 2 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = b - 33, -4*b = 5*i + b + 60. Let c = i - -10. Let g = 28\/39 - 95\/78. Sort c, 0.3, g, -1.\nAnswer: c, -1, g, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/11)\/(-3*2\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91480032 to the power of 1\/2, to the nearest integer?\nAnswer: 9565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*x + 2079 + 12441. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/(-3))\/((-4)\/12). Solve 11 = -3*r + 5*f, -5*r - 2 + g = -3*f for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141795933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -j**7\/12600 + j**5\/600 - 3*j**4\/2 - 8*j. Let p(g) be the third derivative of s(g). Let p(z) = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 36, 1, 4, 5 in descending order.\nAnswer: 36, 5, 4, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2*-20*28\/105\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(4*sqrt(180)) - (-2*(sqrt(228) + sqrt(228)*-2))\/sqrt(12).\nAnswer: -47*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 11\/708 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 12:43 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 31 = -24*u. What is the derivative of 7*v**2 - v**4 - 46 + v**3 - v**u - 6*v**4 + v**2 wrt v?\nAnswer: -28*v**3 + 16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + b - 2)*(3 + 34 + 55)*(-2 - 4 + 23).\nAnswer: 1564*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 113, 440, 987, 1754, 2741?\n\"Answer: 110*b**2 - 3*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - 2 + 2)*(n - 3*n + 3*n + (-1 + 2 - 2)*(-4 + n + 4) - n + 47*n + 45*n).\nAnswer: -91*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 33287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001697 rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 2*n**2 - 2*n**2)*(n + n + 0*n) + (-25 + n**2 + 25)*(1 + n - 1).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1228085.\nAnswer: 5, 23, 59, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 145728 and 65360526?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/310)\/(138*277\/(-191130))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, 0.2, 3848 in increasing order.\nAnswer: 0.2, 58, 3848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 3*d**2 + 4*d. Suppose -3*m - 3*f + 6 = -6, 3*m + 4*f = 12. Suppose -m*a + 1 = 5. Let i be (-6)\/3 + -1 + a. What is p(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 3*q + 6. Let s be g(-5). Let d be (-8)\/2 + 2 + -3. Sort d, s, -3 in ascending order.\nAnswer: d, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**2 + 3*n - 5. Give k(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19980436*w + 131 + 36 = -19980425*w - 130 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -192984, -192665, -192348, -192033, -191720, -191409?\n\"Answer: -h**2 + 322*h - 193305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 96351 = -5*a, -5*a - 21355 - 26783 = -g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 722960 and 71820.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 417167368 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 + -18 - 24) + 26 - (18 + 1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1 + 0.1. Let w = u - 6. Let x = -7.025 - w. What is x rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z - 28*z + 371 = -136 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1094349.\nAnswer: 3, 37, 9859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 777389 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 387667 from -0.55.\nAnswer: -387667.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -2. Suppose 3*l = -3*b + 657, 2*b + 3*l = -f*b + 880. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 0*y**2 + 0*y**3 - 6 + 15*y + 19\/4*y**4. Differentiate d(b) wrt b.\nAnswer: 57*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -2*j + 17 - 12, 3*j - 10 = -4*l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*i**5*z + 2911*i**2*z - 2176*i - 369*z wrt i?\nAnswer: -200*i**3*z + 5822*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from kljfjyksf.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 863773507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19193, 38403, 57633, 76889, 96177, 115503?\n\"Answer: o**3 + 4*o**2 + 19191*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 283024.6 litres in millilitres?\nAnswer: 283024600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32 in -0.04, 1, 2\/13, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1493 by -6.\nAnswer: 1493\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 51505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 102336178?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 - 0.2. Let d = i - -1. Let q = -1782 - -1786. What is the closest to -1 in q, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 1655 - 350. Calculate the greatest common divisor of y and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 7*r**2 - 8*r - 12. Let h be k(-6). Suppose -3*c + 5*g + 1227 = 0, h = 2*g - 0*g. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*z - 2*z + 10, 3*v - 15 = 5*z. Let o(f) = -37*f - v*f + 58 - 57. Is o(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h*h**(2\/5))\/h)\/(h*(h\/(h\/h**0))\/h) assuming h is positive.\nAnswer: h**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -6964*r + 85. Is y(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, h: 5, y: 1, i: 3, t: 6, k: 1}. What is prob of picking 1 s and 3 t?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*d + 21*d - 9*d)*(3*d**2 - 7*d**2 + 3*d**2 - 5*d).\nAnswer: -23*d**3 - 115*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0) + (-1452)\/1815.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/h**(1\/2)*h\/(h**7*h)*(h\/(h\/h**(-1)))**(2\/3) assuming h is positive.\nAnswer: h**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 592 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 10258 - 10105 for b.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 120 + ((-1 - -7) + -23 - -9). Solve -5*y - x = -127 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/13, 9\/13, 1\/6 in decreasing order.\nAnswer: 9\/13, 1\/6, 0, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 2. Suppose -4*z = k + 18. Let n = z + 13. Let m(h) = -h**2 + 7*h - 4. What is m(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**3\/6 + j**2\/2 + 3*j. Let a be w(-4). Suppose -c + 2 = 0, -a*i - 3*c = -0*c - 176. Is i a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4275.368ml to litres.\nAnswer: 4.275368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -12 + 4 - 5*t**2 - 3*t - 5*t + 2 + 3. Let i(x) = x**2 + x. Suppose y - 1 = -0*y. Let u(b) = y*h(b) + 2*i(b). Factor u(j).\nAnswer: -3*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**3\/7 + 136*n**2\/7 - 1380*n\/7 + 3600\/7 = 0.\nAnswer: 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 6:48 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 5*u - 719, 4*x - 2*u - 2*u = 2972. Suppose -a - d + 186 = -3*d, -4*a + x = -3*d. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -2) + -2 + 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-2)\/o))**48\/(o\/o**(-2\/7)*o**(3\/4)\/o)*o**(-3\/8)\/o**(2\/7)*(o\/(o**(3\/8)\/o))\/(o*o*o\/(o*(o\/(o\/o**(-3)))\/o)) assuming o is positive.\nAnswer: o**(2603\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13603, -13792, -13981, -14170, -14359?\nAnswer: -14548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 324 = 5*b, 3*y = -31*b + 30*b + 120. Calculate the lowest common multiple of y and 120.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (29 + 123*g - 122*g + 15)*(0 + 7 - 1 + (3 - 1 + 0)*(2 + 1 - 1)) as b + f*g and give b.\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -488 - -493.69. Let a = 5.69158 - i. What is a rounded to four dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(9614\/(-475))\/(-46)?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -451878 divided by 4611\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -249.01 + 249.06. What is the second smallest value in 0.0637, p, 2\/5?\nAnswer: 0.0637","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wan when three letters picked without replacement from {z: 1, w: 1, b: 2, y: 2, n: 1, a: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 17 - 41. Let l(c) = c**3 - 8*c**2 + c - 5. Determine l(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*d - 710583 = 18*d + 311389. Is d a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 929, 955, 981, 1007?\n\"Answer: 26*n + 903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329517*a + 59390*a + 173771*a.\nAnswer: 562678*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, 57, 228, 467, 774?\nAnswer: 1149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -235, -1047, -2393, -4225, -6495, -9155?\nAnswer: -12157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 33*o**2 + 189*o + 55. Calculate the remainder when c(-38) is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a gram in milligrams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**4\/12 - 7*l**3\/6 - 4*l**2 + 11*l. Calculate o(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3934 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3)*(1\/1)\/3.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*p = -1402 - 3001 for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39221 + 11027 = -1142*b for b.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(605)*2*-3*-2)**2.\nAnswer: 784080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 35*z - 280. Is k(9) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -135 + 42.1. Round z to the nearest integer.\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 5*j + j)*(2496*j - 2496*j + 5 + 2*j**3).\nAnswer: -4*j**4 - 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-2 + 0 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 + 674*j + 578266. Determine r(732).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 2*f - 26, 2*s = -2*f + 3*f - 22. Sort 3, -3, s, 0.\nAnswer: s, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/26412525 and 37\/125.\nAnswer: 132062625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(204))\/sqrt(12)*-2 - (sqrt(204)*-1*4)\/sqrt(12)) + -3.\nAnswer: -3 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -12*c + 90. Let h be u(7). Sort 4, h, -2, -5 in decreasing order.\nAnswer: h, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 94 = v + 3*t, 4*v - 304 = -2*t. Suppose -v = -8*r + 2. Solve 2*k = -5*o + o + 18, 5*o = r for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-3)\/(-9))\/((-26)\/(-117)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 5, 2\/5, 7, 1 in ascending order.\nAnswer: -0.2, 2\/5, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 3*s + s = -6*t + 13*t + 95, -34*s + 782 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 208825 and 0.01.\nAnswer: 2088.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 435 and 1500170.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -303701\/230 + 5284\/23. Let r = 1092 + f. Calculate the common denominator of (2 - 42\/(-4))\/(-4) and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 3. Let m = -5 + 4.94. Let q = 0.56 + m. What is the third biggest value in f, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5492 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-3)\/45*2\/(-1)*318\/(-424).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404 is divided by 154.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, o: 1, s: 1, i: 4}. What is prob of sequence suo?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*q = -2*a - 102*q - 3, 4*a - 4*q = -8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 120221500 to the nearest 1000000.\nAnswer: 120000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 8:49 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*-1)\/(2\/6). Find the common denominator of (-1)\/3 + 650\/120 and (-4 - m) + 59\/(-10).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(81\/9))\/((-1107)\/82)\nAnswer: -2\/243","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i + i**2 - 2*i)*(-11 - 27 - 4) + i**2 - 2*i + 2*i as y + j*i**2 + s*i and give j.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 151427799 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*q**3 + 8*q**2 + 141.\nAnswer: -9*q**2 + 16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2631 times -0.3?\nAnswer: -789.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2217 and 179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 298196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 4 (c) -40 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7435 or -7839?\nAnswer: -7839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 97817 and 13369.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 556971 and 1510195?\nAnswer: 303549195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**2 + h**3 - 2*h**2 - 1 + 3*h**2 + 3*h. Determine t(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -1 (b) 3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21 + 0 + 7 + 23*x**4 wrt x.\nAnswer: 92*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -832 + 832.1. What is the second biggest value in -2\/107, -2, y?\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1044\/171 + 9*((-16)\/(-12) + -2). What is the third biggest value in 174, r, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -114 + 122. Let s(t) = 3*t - 1. Let c be s(2). Solve n + p - 25 = -4*v, -c*n + 5 = 4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 6 = 5*b. Let q be (b\/(-40))\/(4\/(-24))*2. Sort -3, q, 18.\nAnswer: -3, q, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 1498*z + 3*z**2 - 5 + 4*z**3 - 1497*z + 1 to d*z + b + a*z**2 + v*z**3 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - m**2. Let h be f(0). Let s(w) = -2*w + 3. Let g be s(h). Differentiate p**4 - 5 + 6 + p**g - p**3 wrt p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r = -7*r + 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 269.1, 65, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + z + 74 = 0, 9*q + 3*z + 21 = -111 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 5, -16, -9, -5 in increasing order.\nAnswer: -16, -9, -5, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -80.39999493 to one decimal place.\nAnswer: -80.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z + 3. Let f(l) = 6*l. Give f(p(h)).\nAnswer: 18*h + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1418 divided by -493\nAnswer: 1418\/493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -694, -1390, -2086, -2782?\n\"Answer: -696*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 + -79 - ((-4 - 0) + 67 - (10 - 8)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 54450 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -20*y + 980. Let s be v(49). Put -3, 4, -145, -2, s in descending order.\nAnswer: 4, s, -2, -3, -145","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -549*n**2. Let w(v) = -25*v**2. Let t be (-46)\/69 + (-1729)\/39. Give t*w(m) + 2*f(m).\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.2 and -538?\nAnswer: 3873.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-2)\/30*(12 + -17).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 19*m**2 + 11*m - 35. Let l = 39 - 29. Let k be p(l). What is the hundreds digit of (-3*(-4)\/30)\/(5\/k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 3 - -5 - 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6685 + 123725 = 136*i. Which is smaller: 881 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*d - 5. Suppose d*l = 4*l + 2. Does 15 divide 20\/((-4)\/(-4)) - l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14fb0 + 11?\nAnswer: -14f9f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q - 2*q + q)*(16 - 2 + 9)*(-10 - 7 + 2) to j + t*q and give t.\nAnswer: 1035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105745161.\nAnswer: 3, 1697, 20771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7\/17 - 2127\/170. What is the common denominator of c and 11\/4*(-10)\/(-3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 - 3)*(j**5 + 3*j**5 - 2*j**5) + (-4*j**2 + 5*j**2 - 3*j**2)*(-j**3 + 0*j**2 + 0*j**2) + j**5 - 2*j**4 + 2*j**4.\nAnswer: -15*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 447341 - -1?\nAnswer: 447342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h + 2*h + 4*h - 5*h. Let d(u) = u - 2. Let r be d(1). Let v be 6 + -6 - (-1 + r). Give x(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 58, 156, 346, 658, 1122?\nAnswer: 1768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 0*w - 11*w + 13*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19.868 - -0.448. Round f to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2466.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 217722, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**3\/17 + 16470*w**2\/17 - 38267250*w\/17 + 19802292250\/17 = 0. What is w?\nAnswer: -10205, 985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 12*h**2 + 7*h + 5. What is the units digit of z(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (-40)\/21 - (-3)\/3. Put 2\/5, n, -4, -8 in descending order.\nAnswer: 2\/5, n, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -9*j + 134. Let t(q) = 25*q - 367. Let m(w) = -4*t(w) - 11*v(w). Let a = -8 + 3. Give m(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 733.4 - -10.169\nAnswer: 743.569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3049 - 3465 - 2*d - 20778.\nAnswer: -2*d - 27292","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, l: 1, p: 7, m: 3, e: 1}. What is prob of picking 1 p and 1 j?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6222, 6176, 6058, 5832, 5462?\nAnswer: 4912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 248*g - 11. Let f(p) = 1005*p - 44. What is 2*f(v) - 9*n(v)?\nAnswer: -222*v + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/16 - 37\/80. Suppose 7*d - 1 - 20 = 0. Suppose -4*t - 24 = -4*f, 2*t + 2*t = d*f - 22. Which is the second biggest value? (a) u (b) -1\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/7)\/(1\/(-14)). Let f be 4\/(-6)*-3 + 0. Suppose -f*t + 4 = 5*v, 0*v + 4 = v + 2*t. Solve l + 5*n = -l - z, 4*l - n - 20 = v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 47*j - 183. Let i be p(4). Suppose g + 4 = v, 7*v = -i*g + 5*v + 8. Factor g - 2\/3*m**3 - 2\/3*m**2 + 0*m + 2\/3*m**5 + 2\/3*m**4.\nAnswer: 2*m**2*(m - 1)*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.863*86.\nAnswer: -332.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -44, -229, -430, -653, -904, -1189, -1514, -1885?\n\"Answer: -z**3 - 2*z**2 - 172*z + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/657 + 1333920\/(-22995).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -8*v**2 + 1. Let y(b) = 7*b**2 - 1. Suppose -n - 3*n - 4*f = -16, 0 = 5*n - f - 8. Suppose -o = n*o + 18. Calculate o*y(k) - 5*h(k).\nAnswer: -2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 871202 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xeexxxxxxxxxex. Give prob of sequence exee.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -60. Suppose -5*x - 25 + 121 = z, -2*x = 2*z - 136. Calculate the remainder when z is divided by a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = b + 4*b, 0 = 2*w - 4*b + 18. Let c be 0\/(w + 0 + 3). Solve -3*k + 5*k - 10 = c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*30\/(-3)*4\/8\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/(-70)*(-2)\/((-12)\/(-2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172726?\nAnswer: 2, 67, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t. Let f(i) = -12*i**2 - 3*i + 87. Calculate u(f(a)).\nAnswer: 24*a**2 + 6*a - 174","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 589 divide 1159938009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19.58 and -0.106?\nAnswer: -2.07548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3641*d - 21859. Determine y(-7).\nAnswer: 3628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -148649 or -148638?\nAnswer: -148649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**2*s**3 - 7373*i**2*s**2 - 131543*i*s**4 - 2*s**4 + 2*s**2 wrt s?\nAnswer: -12*i**2 - 3157032*i*s - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -496 times 6\nAnswer: -2976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1021636?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**3\/6 - 13*v - 42. Let f(z) = -4008*z. What is p(f(x))?\nAnswer: -4008*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 - 5*g + 4. Suppose 5*u + 16 = -4*f, f + 4*f = -4*u - 11. Let z be -2*(2 - (-14)\/u). What are the prime factors of d(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1326 and 1020.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -14 (b) 2\/55 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 420 and 326172?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -157\/28 - -34\/7. Which is the closest to 2? (a) 1\/5 (b) -3\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*j**2 - 5*j**2 - 18*j**3 + 4*j**2.\nAnswer: -18*j**3 - 21*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*v - 126 = 0. Solve -5*x = -1 + v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-44)*(-8371)\/21308\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2448) + -5 + (sqrt(2448)*2 - sqrt(2448))) + -6*-4*sqrt(2448)*6)**2 + -3.\nAnswer: 95040*sqrt(17) + 42654849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p**2 - 681*p + 7140. Calculate w(159).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtynnwyta. Give prob of sequence ta.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 12*q**3 - 416*q**2 - 1508*q - 456 = 0.\nAnswer: -3, -1\/3, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 180\/36 + 7*1. Suppose 2*s - 6 = 0, 3*u - s - 3*s = f. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 5*z**2 - 7*z + 8. Let b be r(6). Let y be ((-15)\/4 - -5)\/(2\/24). Solve -b*n + 5 = 2*k + y, 0 = -4*n + 4*k - 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 195809880 by -3.\nAnswer: -65269960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*o**4)*(3*o + o - 3*o) + (37*o + 11*o**2 - 37*o)*(-2*o**3 - 2*o**3 + o**3).\nAnswer: -31*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 7:16 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**2 + 30*v - 92. Determine f(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -904969 or -904967?\nAnswer: -904967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 5:16 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 1 + 1)*(-3*n + 3*n + n) - 3*n + 3*n + 2*n**2 + (3*n + 3*n - 5*n)*(10*n - 26*n - 2*n) - 25*n**2 - 11*n**2 - 14*n**2.\nAnswer: -64*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z**(4\/11)*z)\/z)**43\/(z**2)**(2\/67) assuming z is positive.\nAnswer: z**(43171\/737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 168*s. Let r(u) = 13*u - 6. Let n(q) = -26*q + 13. Let p(f) = -6*n(f) - 13*r(f). Let m(b) = 5*c(b) + 64*p(b). Let x(j) = -2*j. What is x(m(t))?\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 120.2 + -120. Sort 3\/2, y, -19 in decreasing order.\nAnswer: 3\/2, y, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 313 + 289 = 0. Suppose 5*o - 877 = -2*n, 2*o - v = 4*n + 284. Does 39 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 15 = 16. Suppose l + 13 = 5*o, l + s = -3*o + 12. Suppose 6*p = l*p + 12. Solve -i - 6 = -p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*o + 8 - 103 = 50 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 649 - 419. Suppose 0 = 5*j - 0*j + u. Does 13 divide (j\/8)\/((-1)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -248*h**4 + 310*h**2 + 5. Let u(p) = -p**2. Give n(u(y)).\nAnswer: 5952*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1259*o**2 - 635*o**2 - 611*o**2.\nAnswer: 13*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*g**3 + 54*g**3 - 9*g**3.\nAnswer: 142*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 1 - 11 - j + 6 + 5. Let y(q) = -4*q**2 + q - 2. Calculate -x(p) - y(p).\nAnswer: 4*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.2 (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 35002155*i. Let w(v) = -2*v**2. Determine x(w(m)).\nAnswer: -70004310*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58022 and 670?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/4)\/(((r\/(r*r**(1\/4)))\/r)\/r)*r**(1\/2)*r\/(r*(r\/r**(-1\/3))\/r))\/((r**(-3\/5)*r*r**(2\/5))\/((r*r**4\/r)\/r**(-1\/4))) assuming r is positive.\nAnswer: r**(397\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeseeeeeeeeseeeesee. What is prob of picking 2 s and 1 e?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*l + 2519996 = -n, -5039984 = -4*l + 4*n. Suppose 0 = 3*w - 6*w - l. What is w rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in 0.2, -0.14, 0.7, -4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d - 1. What is the remainder when f(-11) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -15031282, -30062568, -45093854, -60125140?\n\"Answer: -15031286*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 627550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1568 (b) -362\/3 (c) -2\/5 (d) -0.1 (e) 52 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*d - 10 + 1, 0 = -5*c + d + 9. Let t be -3 + c\/((-4)\/(-19)). Factor 0 + 1\/2*y**3 + 0*y - 5\/4*y**4 + 0*y**2 - t*y**5.\nAnswer: -y**3*(y + 1)*(7*y - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24370458 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -256636\/35 + 7333. Find the common denominator of p and -5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/5 + 18741173*r**2\/5 - 5853858798893*r - 9756433413841\/5.\nAnswer: -(r - 3123529)**2*(3*r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - 7.7. Let l = f + 8.000145. What is l rounded to 5 decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 98, -1, 0, -5 in descending order.\nAnswer: 98, 7, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o - 2 = 32. Let d be ((-32)\/(-4))\/(1*2). Sort d, o, 1 in descending order.\nAnswer: d, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6073*u - 3195*u - 3138*u + 2*u**2 - 4.\nAnswer: 2*u**2 - 260*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 23 = 2*q, -3*h - 61*q - 206 = -550 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.023 and 2.5.\nAnswer: 2.477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*q - 60. Suppose 2*a - 3*r - 16 = -6*r, -2*a - 4*r + q = 0. Find the third derivative of -s**5 + 2*s**2 + 2*s**a + 0*s**5 wrt s.\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3538432422 + -0.035.\nAnswer: -3538432422.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 44\/5 of a kilogram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -2\/7 (b) -5 (c) 92284 (d) 5 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -378.\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 9\/11. Let u = 7.8 + -8.2. What is the smallest value in -34, 2, r, u?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 6:18 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 311027 to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 + -44 + 13 + 1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*j**4 - 13*j**3 + 2*j**3 + j**2 - 2 + 12*j**3 as k*j**3 + l + u*j + a*j**2 + x*j**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 - -1151. Let y = 1214 - r. Suppose y + 1\/7*d**2 - 8\/7*d = 0. Calculate d.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**2\/8 - 19791*u\/8 + 31656867\/4 = 0 for u.\nAnswer: -8954, 2357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0)**(-9)*(y**(2\/5)*y)**6)\/(y*(y\/y**5)\/y*y*y**(-2)*y)**(-1) assuming y is positive.\nAnswer: y**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 10*y - 5*c = -15, -14 = 2*y - 2*c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + -0.4. Let k be ((-1)\/(4\/14) + 3)\/(-2 + 0). What is the nearest to -1 in -1\/5, y, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d. Let g(z) = -z. Determine c(g(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hihihihihhxviiihhih. Give prob of picking 1 h, 1 v, and 2 i.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8089\/4 + -2040. What is the common denominator of k and -9\/94?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2. Suppose -3*t = 2*p - 14, -6*p + 20 = 4*t - 3*p. Let b(v) = -4*v**t + 2*v + 7*v**2 - 2*v. What is g(b(z))?\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + (sqrt(250)\/sqrt(180))\/sqrt(10) + 1.\nAnswer: sqrt(5)\/6 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 - 32*o - 143. Give i(-11).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -384 + 22678. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 0)*5\/(-2). Let v(z) = z**2 - 5*z - 1. Let a be v(l). Let r = -6 + 7. Is a != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28946 + 16061. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256169 to the power of 1\/2, to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 719153.\nAnswer: 719153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 28173, 56390, 84673, 113046, 141533, 170158, 198945?\n\"Answer: 4*p**3 + 9*p**2 + 28162*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 4, 2, -121 in descending order.\nAnswer: 4, 2, -9, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 12:20 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3)\/n**(-2)*n*(n*n**36*n)\/n*n*n**(3\/19))**21 assuming n is positive.\nAnswer: n**(16156\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g**3 + 11*g**2 - 16. Let f(r) = -r**3 + 2*r**2 - 3. Let q = 1 + -3. Give q*c(n) + 11*f(n).\nAnswer: -3*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-240)*6*-1.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3138, 3140, 3142, 3144, 3146, 3148?\nAnswer: 3150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -294*d - 1173. Calculate a(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -6*m**4 + 5210*m**3 - 853204*m**2 - 571120*m = 0.\nAnswer: -2\/3, 0, 220, 649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/((-36)\/16)*(-20 + 5) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from {v: 2, u: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 0 (c) -1\/5 (d) 1152347\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 + 105. Let y = f + -21. Calculate the remainder when (-3762)\/(-88) + (-2)\/(-8) is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 949604796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (76 - -1) + -36 + (-67 - -100)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: a2a5 (base 12) to base 9\nAnswer: 26238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16927652, 33855301, 50782950, 67710599?\n\"Answer: 16927649*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-10)*(-7605)\/14196.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 - 20*x + 48. Let f be y(14). Let h = 170 - f. Solve -4*u - 2 = -h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -2. Let r = 0.09 + 0.01. Suppose 19*z + 68 = 30. What is the nearest to z in u, 1\/4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -169 + 299. Let i = 126 - t. Sort i, -0.3, -0.2, 4.\nAnswer: i, -0.3, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120012202020 (base 3) to base 2.\nAnswer: 1001001000110101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22164 + 22162. What is the nearest to 0 in z, 1, -872?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -353.\nAnswer: -176.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/7 (b) 2\/9 (c) 2\/149 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-3 - -5)) + 2 + (52 - -8)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 155 - 156 = 0, 0 = -2*j - 4*z + 6*z + 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47124 and 1217304.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 274*d - 2 + 855*d + 1533*d.\nAnswer: 2662*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 13)*11 + 9 + -10. Which is bigger: -398\/3 or j?\nAnswer: -398\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/(-85))\/((-34)\/170)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -848*w - 952. What is the units digit of c(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -15. Suppose -d = -3*u + 6*u. What is the units digit of (6\/4)\/(u\/(-8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y**(1\/4)\/y)\/y)**(-10))**(9\/8)\/((y**(-1)\/(y*y*y**(-3\/5)))\/(y**(-3\/2)\/(y\/y**3))) assuming y is positive.\nAnswer: y**(907\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11 - 3 - (-1)\/(-1). Let y = -1 + 6. Suppose 0 = -t + 2*r - 3*r + 4, -2*t + y*r = -36. Solve c = 5*l - t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -35*l**6\/4 - 93*l**5\/20 + 321*l**4\/16 + 29*l**3\/4 - 111*l**2\/8 + 3*l\/2 - 9860. Determine c, given that x(c) = 0.\nAnswer: -1, 2\/35, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*u**4 + 904*u**3 - 228*u**2 - 904*u + 256 = 0. Calculate u.\nAnswer: -1, 2\/7, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 901, 5, 2, 4, 0, -14.\nAnswer: -14, 0, 2, 3, 4, 5, 901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7434*r - 6631*r = -69058 for r.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*u - 9*u - 41*u)*((-2*u + 0*u + 3*u)*(-6 + 4 + 4) + 0 - u + 0)*(5 - 11 + 1) to a*u + g*u**2 + t and give g.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 4\/(-6))\/((-95)\/114)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 60, 112, 174, 252, 352, 480, 642, 844?\n\"Answer: h**3 - h**2 + 48*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 68*p + 24. Calculate the remainder when m(1) is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -3*t - k, 0 = t + t - 3*k + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.55 + 0.15. Let a = t - 6.9. What is a rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1010 and 316837.\nAnswer: 3168370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*o**2 + 1773 + 1774 + 1714 - 5261.\nAnswer: 26*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 18*a**3 + 5*a**2 - 5*a - 8. Let y(s) = -8*s**3 - 2*s**2 + 2*s + 4. Give -6*k(j) - 14*y(j).\nAnswer: 4*j**3 - 2*j**2 + 2*j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 448*g + 10870. Calculate m(-23).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2352689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -88.99179232 and 3.\nAnswer: -85.99179232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 325\/(-13)*(-56)\/350\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 12849*l**3 + 33*l**2 - 15*l - 4. Let m be h(4). What is m rounded to the nearest ten thousand?\nAnswer: 820000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 2*r**2 + 5*r - 4. Let p be j(3). Suppose l - 2*m = p, 6 = 5*m - 4. What is the remainder when 9\/3 - (4\/(-1) + -8) is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -q + 5. Suppose -5*y + 46 = -q. What is the smallest common multiple of y and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1652507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 - 2*j - 7. Let v be x(3). Suppose -v*d - 102 = 8. Let f = d + 23. Solve 2*c - c = f for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmdyiyjyyjyipmmm. What is prob of sequence pdi?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21002022101 - -22122?\nAnswer: -21001222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from ofjbjfjojbf.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*g - 145*g + 931*g + 474*g + 80*g as m + o*g and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 551.\nAnswer: 165.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(128)*2 - (-4 + -1*sqrt(128)))**2 - (3 + 2*sqrt(128))*-1.\nAnswer: -688*sqrt(2) + 15507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 96 + 8. Let h be f\/77 - 60\/14. Put h, -2, 1, 20 in descending order.\nAnswer: 20, 1, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2322.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-28))\/(45\/27*135\/(-150)).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -45349772, -90699542, -136049312, -181399082?\n\"Answer: -45349770*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -554881560 to the nearest one million.\nAnswer: -555000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 + -1 + 0 + 0 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -84*a**3 - 8*a**2 + 8*a. Suppose 0 = -h + 4*k - 9, 3*k - 137 + 122 = -2*h. Let c(y) = 28*y**3 + 3*y**2 - 3*y. Calculate h*d(b) + 8*c(b).\nAnswer: -28*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 705.5137 millennia in years?\nAnswer: 705513.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p + 59 + 1000 - 90.\nAnswer: -9*p + 969","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*y + 499*y + 298*y.\nAnswer: 906*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18183 and 1482.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10150, 20103, 29716, 38995, 47946?\nAnswer: 56575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1098 divided by -4\nAnswer: 549\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101762111 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -9. Let p = -116 + 114. Let w be ((-14)\/(-7))\/((-1)\/p). Sort 3, w, n, -1 in decreasing order.\nAnswer: w, 3, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-444)\/(-228) + (24\/(-35) - 6\/(-15))*7.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/((-28)\/(-13) - 12\/78).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/12)\/(-1)*((-6864)\/(-3))\/(-44).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/10*90\/(-4). Suppose 5*b - q = -2*x, 4*b + 4 = 4*x - x. Let r = 7 - b. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -155.9506 + 156. Let u = -3 + 3.05. Let m = u - d. What is m rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 12. Suppose -2*s - 3*s + 45 = 5*f, -y*f + 5*s + 75 = 0. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 260 and 52.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -163500 to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 c when two letters picked without replacement from {m: 4, p: 3, s: 7, c: 1, y: 4}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -5, -4, 3.3 in decreasing order.\nAnswer: 3.3, 0.2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 74 + 141?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 + -35.8. What is w rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3050*a**2*f*g*n + 1862*a**2*g + 89*a*f*g*n - 2*a*f*g + 15*a*f*n - 3*a*f - 2*g - n + 2 wrt a.\nAnswer: 6100*f*g*n + 3724*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l - 4 = j - 13*l, 0 = -2*j + 2*l + 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 862905833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - a + 4*a + 1035 = 0, -4*k + 3*a - 801 = 0. Let m = 357 + k. What is the highest common factor of 136 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 + -7264?\nAnswer: -7263.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.092 + -1597404328.\nAnswer: -1597404327.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**3 + 0*m**3 + m**3)*(-2*m**2 - 3*m**2 + 3*m**2) + 2*m**4 + 7259*m**5 - 3636*m**5 - 3645*m**5 + 2.\nAnswer: -16*m**5 + 2*m**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.083 + -1.563. Let h = t - 0.42. Let x = 0.7 - h. What is x rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 3*x**2 + 2*x + 18. Calculate f(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*k + 67*k + 235 = -2*y, 5*k = 5*y + 220. Calculate the common denominator of k\/21 - (-553)\/(-282) and -43\/14.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10, 48, 114, 208, 330?\n\"Answer: 14*m**2 - 4*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*p - 21. Suppose p*k = 2*v + 4*k, 0 = 3*v + k + 4. Which is the third biggest value? (a) 1\/14 (b) v (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*c**3 + 121*c**3 - 69*c**3)*(-3*c - 2*c + 4*c)*(-2*c - 5*c - c).\nAnswer: 800*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 67 + 17 = 0. Suppose 4*o = 13 - x. Let l be (4 + 0)\/(-4 - o). What is the second biggest value in 4, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v + 15. Let f(b) = 3*b - 29. Let a be (80\/15 + -5)\/((-1)\/(-15)). Let q(d) = a*h(d) + 3*f(d). Calculate q(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 248*t + 261*t - 513*t + 4*t**2 - 5*t**2. Let l(x) be the third derivative of -x**4\/24 - x**2. Determine o(l(v)).\nAnswer: -v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {p: 5, f: 7}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 1324*m - 4. Suppose -6*j = -10*j + 4. Suppose -2*u - 7 = j. Let i be x(u). What is i rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 135*g + 13214. Give h(-97).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50018 is divided by 8300.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2797, 4991, 7185, 9379, 11573, 13767?\n\"Answer: 2194*v + 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 7*h - 66. What is d(17)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**12\/(o**(-20)\/o) assuming o is positive.\nAnswer: o**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 154933, 309852, 464771, 619690?\n\"Answer: 154919*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2166*n**3 + 1467*n - 1467*n + 827*n**3 - 1688*n**3.\nAnswer: -3027*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, 1763, -4 in ascending order.\nAnswer: -75, -4, 1763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -25692 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*o - 2*a + 3, -o + 4*a + 1 = 0. Let y = -31 - -28. Let v be (0\/y)\/(6\/3). Does v = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 3*k - 261, -5*u + 219 = -u + k. Suppose 6 - u = -3*d. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -589029 - 443107 = -56*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*x + 511 = 0, 678 - 3348 = -5*g - 3*x. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2320 + 5394 = -266*g for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 5:13 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 54274579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3*t**5 + 843*t**4 + 7428*t**3 + 22956*t**2 + 29424*t + 13056 = 0.\nAnswer: -272, -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 6 = 5*c. Suppose 14 = c*b - 4*i, -7*b + 3*b - 4*i + 4 = 0. What is the first derivative of 3*j**2 + 13 - 5*j**4 - b*j**2 + 3*j**4 wrt j?\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309030748359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(960) - (-6*(sqrt(135)\/sqrt(9) + sqrt(15)) - sqrt(15)))\/(sqrt(15)\/(sqrt(300) - sqrt(3)) + sqrt(500)*6).\nAnswer: 189*sqrt(3)\/541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202220 + 110?\nAnswer: 210100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 22*v**3 - 99*v**3 + 5*v + 32*v**3 + 5*v**2 + 49*v**3 + 1. Let n(b) = -b**3 - b**2 - b. What is -d(o) - 5*n(o)?\nAnswer: o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2 - 5 + 0 - l**3 - 2*l**2 + l. Let r = -12 - -9. What is the units digit of v(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 155*n**2 + 160*n.\nAnswer: -5*n*(n - 32)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 2*t**2 - 289*t - 1118. What is l(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -2*t**3\/3 - 21. Let r(b) = 6*b**2 + 6*b. Determine h(r(z)).\nAnswer: -72*z**4 - 144*z**3 - 72*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 64\/74 - (-1)\/(-1). Is -1 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33 and 4.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/56*7*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 11:01 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -672 = -33*a - 12. What is the remainder when 817 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(99)\/(sqrt(18)\/sqrt(2))) + (sqrt(2)*1*-2 - sqrt(2) - (sqrt(16) + sqrt(32)\/sqrt(2))\/sqrt(8)) + 4)**2.\nAnswer: -32*sqrt(2) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 e when four letters picked without replacement from zzzeemi?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5d + -84c3?\nAnswer: -8531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 + -35. Which is smaller: -2\/419 or g?\nAnswer: -2\/419","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2 - 13. What is the second derivative of -3*m + i*m**3 + 15*m + 6*m + 0*m wrt m?\nAnswer: 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 147\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -1\/60*k**5 - 1\/8*k**4 + 0 + 0*k - 2*k**2 - 1\/3*k**3. Let u(c) = 0. Calculate c.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -3c?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 372 + 179. Calculate the remainder when u is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 42 = -2*v, 2*y - 24 - 18 = -2*v. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*s + 3*s**2 - 6*s - 23 - 3019*s**3 + 3016*s**3 to u*s + h*s**2 + m + l*s**3 and give m.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27113 rounded to two dps?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 27.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 105, 232, 393, 600, 865?\n\"Answer: 2*f**3 + 5*f**2 + 98*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(55\/(-10)))\/(451\/738)?\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 207273 and 14520.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 149097842?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -79 + 82. Solve 0 = -a*h - 0 - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1526 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/10, 0.8, 16, 8, -1\/5?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.1, 1 in descending order.\nAnswer: 5, 1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13 * 151.\nAnswer: 19.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3877328*v + 2745319.\nAnswer: 3877328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -16*q + 9. Determine g(4).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 - 0.26. Let x = 149.1 - 16.1. Let r = x + -132.9. What is the smallest value in 5, 0.03, r, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3239 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -73 - 5?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -88 times 4\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 - 64*y**2 - 1055*y + 7. Calculate s(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o - 52*o + 16*o.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 5 + 4 - 3 + l.\nAnswer: l - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -33, -49, -53, -39, -1, 67, 171?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1195\/8, -3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w + 3*w - 2*w)*(-5 + 1 + 5 + (-3 + 3 + 1)*(-2 + 0 + 4) + 12 + 7 - 1 + 3 - 1 - 4 + (-1 + 0 + 2)*(0 - 2 + 3)) to d*w + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**2\/3 + 2994685*i\/3 - 23957800\/3 = 0 for i.\nAnswer: -598945, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -724?\nAnswer: 1\/724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 83*a**3*k*t**3 - 55966*a**3*k*t**2 - a**2*k*t**3 + 4*a*k*t**3 - 92559*k*t**3 + 2 wrt a?\nAnswer: 498*k*t**3 - 335796*k*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -470, -0.1, -1\/3, -12 in increasing order.\nAnswer: -470, -12, -1\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 761.9+-201441.5\nAnswer: -200679.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -12 + 0 + 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9497.01 + 9333. Let k = 164 + u. Let l = -0.24 + -0.06. Which is the nearest to k? (a) l (b) 0.3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 0*o + 3\/4*o**4 + 0*o**3 + 4 + 3*o**2. What is the second derivative of h(y) wrt y?\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17241, -17497, -17753, -18009, -18265, -18521?\n\"Answer: -256*f - 16985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 25*j - 2. Let w(m) = 233*m - 21. Let q(z) = 21*h(z) - 2*w(z). Let o(s) = -s**3 + 5*s**2 - s + 4. Let p be o(5). Give q(p).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*x*y**3 - 30*x*y**2 - 9938*x*y + 3*y**3 + 3*y**2 - 2*y wrt y?\nAnswer: -180*x*y - 60*x + 18*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03001107 rounded to 4 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 36489337 to the power of 1\/2, to the nearest integer?\nAnswer: 6041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28991.01 + 28991. Which is the fifth smallest value? (a) i (b) 0.2 (c) 3 (d) -4\/7 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 37 = 5*r. Let f(a) = a**2 - 10*a + 5. What is the least common multiple of f(r) and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 6 + 4*l**2 - 68*l - 67*l + 137*l. Give f(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**6\/27 - 4*l**5\/45 + l**4\/18 - 197. Find i such that x(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 9*c**2 + c + 1. What is g(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yggzgyzgyyummgyyyg. What is prob of picking 1 z, 1 g, 1 y, and 1 u?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3522750 (base 8) to base 11\nAnswer: 5a6276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 9:10 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2303 + 28855 = -x - 14727, 0 = 4*x. Is t a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2077\/3255 - (-5)\/(-75) - 1356\/(-28)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuooxqqux. What is prob of sequence xoxo?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48663 is divided by 825?\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eqeqeeq. Give prob of sequence qeqq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 416 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-9) + (-7 - -7). Let d = -55.5 - -55. What is the biggest value in 0.1, d, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -338519, -677097, -1015691, -1354307, -1692951?\nAnswer: -2031629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2874 - -4114. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 81150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-164)\/(-1353))\/((-4)\/6).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6 = 2*t, 2*t = -3*t - 4*i + 13. Let d be t\/(-1 - 12\/(-9)). Let s be (0\/d + 1)*0. Which is bigger: -4\/7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*v + 11*v - 5*b - 259 + 159, 12*v = v + 4*b + 80 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2\/15 + (48280\/150 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6*v + v**3 + 2 - 4*v**2 + 5 - 1 - 1. What is the units digit of s(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19620 divided by -89\nAnswer: 19620\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 1)*(-2 + 2*h**3 + 2) - h**2 - 290*h - 310*h + 597*h - 2100*h**3 in the form i*h**3 + d + b*h**2 + l*h and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7346.9 + -7420.9. Let k = 0.6 - 0.66. Let r = 0.44 - k. Sort r, p, -3, 0 in ascending order.\nAnswer: p, -3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -6*c + 1. Let n be 3 - 1 - (5 + 0). What is the tens digit of d(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fd when two letters picked without replacement from {d: 1, h: 1, n: 1, f: 1, t: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40012550 (base 6) to base 7.\nAnswer: 12351132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 637\/18 or 13202?\nAnswer: 637\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*b - 37*b + 963 = 18*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 629919.3mg in kilograms?\nAnswer: 0.6299193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 4*o**2 + 8*o - 4. Let z be g(2). Let h = 63 + z. Suppose -h*c + 103 = -66*c. List the prime factors of c.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/935619852 or -1?\nAnswer: -1\/935619852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d - 66 = -4*d. What are the prime factors of 0 + d*((-1329)\/(-9) - -3)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 180 by -10.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkpr when four letters picked without replacement from trrkrrkrtprrkt.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 44\/(0 + 1) - 3. Let d = l - 6. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2350474*f**2*o**3 + f*o + 12*o**3 + 871*o**2 + 2*o - 5 wrt f.\nAnswer: 4700948*f*o**3 + o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244*m - 184 = 236*m. Solve 0 = m*o - 21*o - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -641 + 1297. Suppose 2*k + 260 = m. What is the highest common factor of k and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (1052 + -2)\/42\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1810.674 minutes in milliseconds?\nAnswer: 108640440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5226 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.9, 14, -5\/22, 1\/5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47036*f*i + 10062504*f - 165*i**4 - i**2 wrt i.\nAnswer: 47036*f - 660*i**3 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -222650, -223119, -223590, -224063, -224538, -225015, -225494?\n\"Answer: -r**2 - 466*r - 222183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30421 + -242?\nAnswer: 30124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 4. Let v be (0*3\/t)\/1. What is the third smallest value in -0.1, 0.3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 48 in descending order.\nAnswer: 48, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 13152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4215700 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242620 is divided by 40358.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-16)\/(-28) + (-15)\/63). Let v = -4 + 6. Suppose 0 = -3*p + 3*q - 33, -5*q + 14 = -v*p - 2. Put 5, f, p, 0 in increasing order.\nAnswer: p, 0, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 - -180. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*n**2 + 3*n + 40*n**2 - n - 35*n**3.\nAnswer: -35*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1324424953?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 41*j**4\/24 + 37*j**3\/6 + 22*j**2 + 2*j. Is 12 a factor of a(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2021 - 303?\nAnswer: -2330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20674, 20671, 20668, 20665, 20662?\nAnswer: 20659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-9)*(-2)\/38. Let f(j) = -j**3 + 7*j**2 + 8*j - 8. Let q be f(8). Sort q, 5, s.\nAnswer: q, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1777 - -2944. Let s = 1172 - w. Suppose f + 4*y - 17 = 0, -y = 3*f + 3 + 1. What is the fourth smallest value in f, 1, -0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*c**2 + 61*c**2 - 232*c**2 + 46*c**2 + 41*c**2 + 46*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1448.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w - 2 + 2 - 101*w.\nAnswer: -92*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -w**5\/12 - w**4\/12 + w**3\/6 + w**2. Let t(l) = l**2 + l. Calculate o(q) + 4*t(q).\nAnswer: -q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -220*-0.2\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*f - 70*f + 203236 = 0. Does 21 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 9*g - 1. List the prime factors of f(8).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39765 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -4\/5 (b) -2 (c) 162 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 812*r**3 - r - 813*r**3 - r**2 - r - 3*r**4 in the form n*r**4 + s*r + w*r**3 + f*r**2 + b and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10456, -41838, -94134, -167344, -261468, -376506?\n\"Answer: -10457*n**2 - 11*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x - 63. Let b(a) = 2*a - 21. Let t(l) = 8*b(l) - 3*u(l). Suppose 4*y + 54 = 14. What is the tens digit of t(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * 15972.7.\nAnswer: -271535.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -19*n - 42 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.006, 2\/9, 0.3, 6, -3, 1\/6 in decreasing order.\nAnswer: 6, 0.3, 2\/9, 1\/6, 0.006, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)*-1*5 + sqrt(30))\/sqrt(6) + sqrt(500)*2 + -2)**2.\nAnswer: -64*sqrt(5) + 1284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ha when two letters picked without replacement from {h: 3, p: 5, d: 3, x: 1, a: 1, n: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16312, -16307, -16298, -16285, -16268, -16247, -16222?\n\"Answer: 2*p**2 - p - 16313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(9\/4))**(-1\/10))**(-18))**26 assuming w is positive.\nAnswer: w**(1053\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = o + 3*o + 236, -69 = o - 3*w. Find the common denominator of ((-27)\/36)\/(o\/32) and -19\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1943115 or 1943111?\nAnswer: 1943111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21372 minus 93?\nAnswer: 21279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -2. Let d = a + 22. Calculate the greatest common factor of d and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(1 - 6 - (10 + -14)). Let n(k) = -k - 1. Let x be n(a). Is (10\/15)\/(x\/(-678)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4*u - 20*u - 10*u in the form o + q*u and give q.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 6*h. Let p(t) be the first derivative of -805*t**2\/2 - 3551. Calculate w(p(z)).\nAnswer: -4830*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 2*y + 2. Let l be q(2). Let h = l + 6. Solve h = 2*n + 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 63\/(-33) - (-4 + 1). Let a be (0 + -1)*(2 - 2). Which is smaller: y or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327375409 a multiple of 3091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 6*k + 1. Let z be y(-6). Find the common denominator of (-79)\/(-8) + (2 - z) and (4\/(-66))\/((-8)\/114).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034137571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**4 + 6 - 8 + 37*q - 3*q**4 as g*q**3 + a*q**4 + m*q + t*q**2 + n and give m.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 15*p. Give f(-2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/2, -2\/9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -381, -767, -1155, -1545, -1937, -2331?\n\"Answer: -m**2 - 383*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6279 + 3196. Calculate the greatest common factor of 125 and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 37*d + 3308. Calculate f(-91).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2117\/5800)\/((-2)\/(-5)) and 97\/100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 + v**2 + 2*v - 3. Let b = -60 + 58. Let n(o) = -4*o**3 - 3*o**2 - 5*o + 7. Give b*n(a) - 5*t(a).\nAnswer: -2*a**3 + a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82240351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 14 + 6*(-3)\/(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m + 1835 = 4895. Suppose -2504 = -h + m. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8*(-12)\/96 - 37\/18 and -17\/276.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s**3 - 7*s**2 + 13*s + 1. Let y be 7*(-2)\/((-2)\/(-1)). Let o(v) = -26 - 17 + 43 - v**3 + 4*v - 2*v**2. Calculate y*o(d) + 2*b(d).\nAnswer: -d**3 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2653983?\nAnswer: 3, 294887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 166700377 to the power of 1\/2, to the nearest integer?\nAnswer: 12911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*f - 174*f**4 - 7*f + 164*f**4 wrt f.\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*g + 16, 2*g - 12 = k + 19. Let n(w) = w + 4. Let p be n(-6). What is the remainder when g is divided by 1\/(-1*p\/14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 405005 (base 6) to base 7.\nAnswer: 162563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 4855*n - 62988. Calculate s(13).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 151*x**4 - 720 + 240*x**4 + 321*x**4 + 849*x**4 + 96 wrt x.\nAnswer: 6244*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*u + 5 + 10, 5*v = u - 25. Let y be 0\/(-1) - 10\/v. Solve 22 = -5*f + y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000774 rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322*d - 174*d + 35*d + 43*d.\nAnswer: -418*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -261 divided by -187490\nAnswer: 261\/187490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 700054320 a multiple of 2982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*x - 3. Let b be (x - -3) + (-511)\/1. Let z = b + 765. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -126.53 - -126.529980771. Round p to seven decimal places.\nAnswer: -0.0000192","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4ce0f (base 16) to base 12\nAnswer: 132293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/223 and -29\/99.\nAnswer: 22077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*h**3*p**3 - 3105280*h**3*p - 257*h*p**3 - 21154*h*p wrt h.\nAnswer: 126*h*p**3 - 18631680*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 5:11 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.087794 rounded to 2 decimal places?\nAnswer: -61.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 14) to base 3\nAnswer: 2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-5 - (-17 - -7)) + -11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 + 406. Is r a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15894888 - -15894884.9999942. Let g = v - -3. Round g to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/6*(-4756)\/(-145). Solve -l = -10*h - 112 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 8 - 1 - 3 + 4 + 1 - 1 - 2 + 0 + (3 - 2 + 2)*(2 + 0 - 1))*(-4*i + 4*i - 2*i**2).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -99, -366, -811, -1440, -2259, -3274, -4491?\n\"Answer: -r**3 - 83*r**2 - 11*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (153\/17 + -28)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -176, -257, -338?\nAnswer: -419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -40*q**3 - 4*q**2 - 4*q + 9. Let f(o) = -18*o**3 - 2*o**2 - 2*o + 4. Give 9*f(t) - 4*v(t).\nAnswer: -2*t**3 - 2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 9:39 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 60 - 6 = 9*p. Solve 15 = -p*m + 3*v, 4*m - 3*v - 4 + 25 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13824, 27332, 40840, 54348, 67856, 81364?\nAnswer: 94872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + ((-2 - -1) + -5 - (32 - 44)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -192, 6, 5, -5 in decreasing order.\nAnswer: 6, 5, -5, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*k - 1. Let m(p) = 2*p**3 - 3*p**2 + 2*p + 1. Let f(q) = 3*q**3 - 4*q**2 + 2*q + 2. Let h be (-20)\/6*18\/15. Determine h*m(b) + k*f(b).\nAnswer: b**3 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 103 - 48. What is the greatest common factor of 5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -3, -2, 344725\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4361646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92524?\nAnswer: 2, 23131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 - 249 = -4*c. Let v = c - 52. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/6, -11, 0.4, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -81 - (-7 + (30 - 18) - (-4 + 19))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**2 - 903*l + 32501. Give m(45).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15065725 and 1599900?\nAnswer: 180788700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01002 to four decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/10 and -11\/308972?\nAnswer: 1544860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 177.8177 rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3504196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7760, -31530, -71322, -127136, -198972, -286830?\n\"Answer: -8011*d**2 + 263*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 26, 41?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 926 - 470 - 3*s**3 + 0*s**3 - 456.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*s**2*w**4 + 4*s**2 + 1441*s*w**3 - s - 377 wrt w?\nAnswer: 52*s**2*w**3 + 4323*s*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -343\/146 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*c + 55*c + 52*c.\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(20)\/(sqrt(8)\/sqrt(2)) + (-2 + sqrt(720))**2 - 4*(sqrt(2205)*-3 + sqrt(2205))*-2.\nAnswer: -383*sqrt(5) + 719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-539)\/(-21) + -1*(-77)\/33. Solve -23*p + m = -9*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -4, -1\/8, -1, -2\/35 in decreasing order.\nAnswer: 0.2, -2\/35, -1\/8, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*v**2 + 4*v**2 + 36*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -14. Let a(o) = -o - 3. What is a(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of w**3 + 138725*w - 304770?\nAnswer: 3*w**2 + 138725","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 91342 and 0.2.\nAnswer: 18268.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(5\/4)\/(w*w**5)*w**(-7)*w*w*w**(1\/2)*w*(w**(2\/7)\/(w*((w*w*w\/w**(-6))\/w)\/w))\/(w**(-2\/5)*w)**(-3\/8) assuming w is positive.\nAnswer: w**(-4407\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 5*q + 2. Let o = 20 + -15. Suppose 28 = -o*y + 3. Let m be k(y). Solve -m*g + 2*a + 7 = -9, g - 3*a - 18 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2341 (base 5) to base 4.\nAnswer: -11122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/5)*h)\/(h*h**(-6))*(h*h**(1\/8)\/h*h)\/h*h*h**(-2\/5)*(h**(1\/4)\/h)**(4\/27)\/(h**(2\/7))**(-44) assuming h is positive.\nAnswer: h**(47339\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 142*b + 94. Does 9 divide k(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 0. Let t(l) = 6*l**2 - l + 3. Is 12 a factor of t(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from nnnnnnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 - t. Let w(y) = -161*y**3 + 43*y**2 + y. Let f(p) = a(p) + w(p). What is the third derivative of f(i) wrt i?\nAnswer: -966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4\/7 + 12*y**3 + 864*y**2\/7 + 3888*y\/7 + 6480\/7.\nAnswer: 3*(y + 6)**3*(y + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000081144342 rounded to 7 decimal places?\nAnswer: 0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4054162?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -283 (base 11) in base 12?\nAnswer: -239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64 - 62. Suppose l - 4*t = 1, 5*l + t = -i*t + 5. Solve -2*x + x = -l for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(2 + sqrt(162)) + -4)*2)**2.\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, q: 6, a: 1, i: 1, n: 1, t: 2}. Give prob of sequence nqi.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32 or 92\/3?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4 = -6. Let f(i) = -i. Let b be f(h). Let t = -14 + 15. What is the nearest to b in -5, t, -1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -0.0693.\nAnswer: 4.0693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -177004, -354017, -531036, -708067, -885116, -1062189, -1239292, -1416431?\n\"Answer: -x**3 + 3*x**2 - 177015*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**6\/840 + s**5\/420 - 3*s**2. Factor y(v).\nAnswer: v**2*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 4 (b) -0.06 (c) -0.1 (d) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e - -5da?\nAnswer: 5cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3\/3 + 19210*c**2\/3 + 18451205*c\/3.\nAnswer: 5*c*(c + 1921)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1936019 to the nearest integer?\nAnswer: 1391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 5*w**2 + 3. Suppose 5*b = -0 + 5. Let m be b*2 + (-11)\/1. Let x = -4 - m. Calculate n(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 395*l**3 + 353*l**3 - 750*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10943.92 + -0.5?\nAnswer: -10944.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1068455128 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 + 25*h**2 - 25*h - 153. Give i(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -4*k + 176, b + 4*k + 70 = 26. Let s = b - -46. Suppose -5*n + 25 = 5. Solve -j + 5*r + 2 = 0, 2 = -n*r - s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9606672 divided by -4803336?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14510 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (30 - 30)*2\/4. Suppose 3*b - q - 149 - 83 = l, 4*b = -3*q + 318. Calculate the remainder when b is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*d - 1803 = 0, -2*d + 0*d + 8 = 0. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23049 and 1179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/916200 and 58\/114525.\nAnswer: 916200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 + -19 - (-2 - 97)) + (-19 - (-10 + 4))?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2147 - 33610.8?\nAnswer: -31463.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 5 = 5*b, -122 = -5*y - 3*b. Let f = -26 + y. Which is smaller: f or -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 1 - 2 + 6*o - 14*o - 5 - 18*o**2 + o**3. What is the tens digit of x(19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.219 and -0.2.\nAnswer: 0.0438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -3 (c) 0.6 (d) 0.039 (e) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -29, -67, -139, -257?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/7 + 16552*m**3\/7 - 49530*m**2.\nAnswer: -2*m**2*(m - 8255)*(m - 21)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 6*v**2 - 8*v - 1. Let y be c(-6). Let f = y - 30. What are the prime factors of f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 19, 33, 57, 91, 135?\n\"Answer: 5*k**2 - k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -40*d - 721. What is h(-18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54022090?\nAnswer: 2, 5, 17, 317777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 + 49. What is the closest to 2\/5 in -2\/5, 0.4, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6640 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 10:25 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84410, -1\/5, 485\/6.\nAnswer: -1\/5, 485\/6, 84410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (180*m**2 + 182*m**3 - 180*m**2)*(-5 - 6 + 6) in the form o + z*m**2 + g*m**3 + f*m and give g.\nAnswer: -910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-2) + (15 - 8). Let d(j) = -3*j**3 + 3. Let t(u) = -u**5 - 5*u**3 - u + 5. Let w(c) = o*d(c) - 3*t(c). Find the second derivative of w(b) wrt b.\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 12:06 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 440562911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2091*c + 50196 - 18812 = -7403 - 53217 for c.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 48 + 160?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m**3 + 4*m**2 + 46*m - 20. List the prime factors of u(10).\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 2*w = -10 - 313, -13*o + 840 = -0*w - 5*w for o.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**4 + 87*n**2 + n + 79?\nAnswer: -12*n**2 + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2 + 44*u - 245. Give x(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3740001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002842715632 rounded to four dps?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -378 + 13229\/35. Let f = z + -4\/35. Which is the second biggest value? (a) f (b) 1\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 2*k - 2*k + 0*k - 3*k + 0*k + (-2 + 2 + 2)*(0*k - 2*k + k))*(2*k**2 + 0*k**2 + 0*k**2).\nAnswer: -18*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 20*y**3 - 5*y**2 + 23*y - 97. What is the units digit of b(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 112 + 73 = 31. What is the least common multiple of 492 and v?\nAnswer: 5412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54277 is divided by 54118?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 621 + 604*v**3 - 621 - 293*v**3 - 280*v**3.\nAnswer: 31*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -296*t + 33794. Determine n(115).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*o**3 - 34*o**3 + 44*o**3 + (3*o + 4*o - 6*o)*(2*o**2 + 4*o**2 - 4*o**2) + o**2 - o**2 - o**3.\nAnswer: 50*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 201 - 20. Is m a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m - 12. What is the lowest common multiple of o(20) and 5?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 41277 + 41277.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 1\/12*l**4 + 0 + 3*l**2 - 1\/60*l**5 + 0*l - 1\/6*l**3. Let u(h) = 0. Calculate h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.127435165 rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3644640525.\nAnswer: 3, 5, 48595207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -799739, -799729, -799719?\n\"Answer: 10*w - 799749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(3\/4)\/u**(1\/9)*u**(-2)\/(u\/(u\/((u*u**(-1))\/u)))*((u\/u**0)**10)**(-2\/41) assuming u is positive.\nAnswer: u**(-1253\/1476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-336)\/7)\/(3\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 + -0.44. Let q = 0.07 - w. Let t = q + -0.109993. Round t to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103302 - 2?\nAnswer: 103300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 326876 <= 327229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*y = -3324758 + 3325682 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1247 divided by -372.\nAnswer: -1247\/372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -574344, -1148643, -1722880, -2297025, -2871048, -3444919, -4018608, -4592085?\nAnswer: -5165320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 8, -0.2, 0.3, 6, 4\/25, -12?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 198\/(-22)*((-95)\/(-12))\/(-19).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3\/3 - 1324*x**2\/3 - 10018*x - 9576 = 0 for x.\nAnswer: -21, -1, 684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a minute in seconds?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7042, 13971, 20900?\n\"Answer: 6929*o + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3*z - 5*z. Let r be (2 + z)\/8 - (-93)\/124. Put 17, r, 5 in increasing order.\nAnswer: r, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20158?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kpphzhpoepkz. What is prob of sequence ohk?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 85, 11 in increasing order.\nAnswer: 1, 11, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 + (2 + -2 - 5). Suppose -3*b - 2*p = -27930006, b = 2*b - o*p - 9309991. What is b rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 16 - 4, 478 = -4*v + 2*j. Let i = v - -194. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50380000 to the nearest one million.\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1543 + -1492. Solve -20 = 47*r - g*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04774644781 to 6 dps.\nAnswer: 0.047746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -1167*q**2 + 54*q - 15. Let d(y) = -1166*y**2 + 58*y - 21. Let h(n) = -3*d(n) + 4*x(n). What is the second derivative of h(o) wrt o?\nAnswer: -2340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34 in 1, -2, 0.27?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2 = 4*p, 3 = 2*b - 7. Suppose 0 = -p*u - 0*u + 81. What is the smallest common multiple of u and 24?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhkhkhhkh. What is prob of sequence hhj?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-112)\/14*186\/(-249) + -6. What is the smallest value in -9, y, -1\/2, 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 14, 22, 32, 44, 58, 74?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**5\/60 - k**4\/4 + k**3\/6 + 3*k**2. Does 5 divide h(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179305579.\nAnswer: 17, 29, 443, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -34. Let d(h) = -6*h - 3. Let s(r) = 2. Let a(o) = w*s(o) - d(o). Let l be 3\/1*(-6)\/(-9). What is a(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.28 - 0.02. Are b and 0.04 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 15\/(-6))*2*(-4)\/(-28)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -9*(3 - (6 + -2)). Suppose 25 = 3*j + 4*q - v*q, -4*q + 1 = -j. What is the remainder when j is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 4, 2 in descending order.\nAnswer: 4, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*p = 13208. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56254 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(2 - (0 - -1))*-18. Suppose 0 = 3*w - 5*j - 31, q = 4*w - 0*w - 2*j. Which is the closest to -2\/5? (a) 3 (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -119220*b**3 - 17*b**2 + 3*b + 24. Let d be j(-9). What is d rounded to the nearest one million?\nAnswer: 87000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -171*r + 159*r + 6900. What is the remainder when 1164 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7943585 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4343 + 4849.9. Let j = d - 550. Let l = j - -43. Which is the nearest to l? (a) -2\/5 (b) -6 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2850 and 460?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 395.477 from -0.2.\nAnswer: -395.677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -7*f - 17. Let t(j) = 12*j - 1. Let p(r) = -80*r + 16. Let k(y) = 2*p(y) + 14*t(y). Determine 6*k(i) + 7*n(i).\nAnswer: -i - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7*(-2 + (-20)\/(-7)). Let m be 1*(3 + 16\/(-4)). Let u = m - s. What is the lowest common multiple of u and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 117\/15)*-2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 603 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/56316 and 105\/150176?\nAnswer: 450528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t + 63 = -26*t - 5*x, 3*x = 10 - 1 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -138, -588, -1338, -2388, -3738?\n\"Answer: -150*s**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, o: 1, a: 2, q: 2, n: 1, f: 1}. Give prob of sequence fa.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 2*f**2 + f + 2. Let o be l(2). Let n(t) = 13*t + 38. Let w be n(0). Suppose 28*g - w*g + 20 = 0. Sort g, 0, o in descending order.\nAnswer: o, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.01, 17820, 6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 237\/602 - -3\/86. Which is the third biggest value? (a) 1\/2 (b) f (c) 3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -4, 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(325) + (sqrt(325)*-3 + sqrt(325) - sqrt(325))*4)**2.\nAnswer: 39320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(5) - -1*sqrt(5)) + sqrt(5))**2 + -3 + 3.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 276560601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8*(99\/(-22))\/(-3) and 816?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 92*m**2 - 458*m - 6. What is the smallest common multiple of u(5) and 213?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 1 + 1)*(3 + 0 - 1) + 429 + 425 - 837)*(-2*w + 0*w + 3*w + (0 + 1 + 1)*(0*w - 3*w + 5*w) + 5*w - 3*w - w + 0*w - 4*w + 2*w) as j*w + n and give j.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 + -0.43. Let q = 1.8 - 1. Let j = 1 - q. What is the biggest value in m, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5239672 microseconds in nanoseconds?\nAnswer: 523.9672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-512)\/2496)\/(84\/(-273))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -210.621199 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 0 - 18*w**2 - 4.\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60486, 60485, 60484?\nAnswer: 60483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 177409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**3 - 2*n**3 - n**3 + (1 - 1 + 2*n)*(-3*n**2 - n**2 + 3*n**2) + (-n**2 - 4*n**2 + 3*n**2)*(4*n + n - 6*n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3\/3 - 16*j**2\/3 - 4*j\/3 + 16\/3.\nAnswer: 4*(j - 4)*(j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o - 119. Determine s(0).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1462, 5903, 13316, 23701, 37058, 53387, 72688?\nAnswer: 94961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*o - o. Suppose -o*c = -0*c - 25. Solve 4 = -3*f - c*h + 18, 22 = -5*f + 3*h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -7*l**3\/3 + 7*l**2 + 28*l + 15. Let t(g) = -4*g**2 + 7*g + 14. Let m(v) = -3*b(v) + 5*t(v). List the prime factors of m(-7).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23406721 to the nearest integer?\nAnswer: 4838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3 = -6. Let u(w) = -w**3 + 8*w**2 + 8*w + 9. Let s be u(i). Solve v + 4 = -r - s, 28 = -5*v + 3*r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - -0.9. Let i = -319 + 4783\/15. Put -1\/5, i, s in descending order.\nAnswer: s, i, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6324943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 3 + 3 = 0. Let n be -4 + z + -5 + 12. Let h(w) = 11*w + 14. What is the tens digit of h(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -282998\/205 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -22 - (-25)\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19\/2972 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - k + 65 = 0, -t + 3*k - 7*k + 18 = 0. Let c be (-9)\/459*-17 - 917\/(-21). What is the greatest common divisor of c and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 17*v**2 + v + 24. Let u = 0 - 17. Let f be m(u). Which is bigger: 5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76157 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11\/126 + 877\/1386. Is 1\/74 at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 2. Let u be t(-8). Let o be (u\/(-24))\/(1\/(-68)). Suppose -a = o - 55. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, s: 2, r: 4, b: 1, f: 6}. What is prob of sequence fs?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m. Let d(g) be the second derivative of -g**4\/6 - g**2 - 7*g. Let b(k) be the first derivative of d(k). Calculate b(a(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -115856*s. Let q(g) = -g**2. What is q(z(t))?\nAnswer: -13422612736*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -175*q**3 + 4*q**2 - 5*q + 2. Let a be u(1). Let n = 774 + a. Is n a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t - 11. Let d be n(15). Suppose d*j - 1123 = 901. Does 67 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a - 6. Give k(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 217 - 216 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**4\/3 + 754*h**3\/3 + 756*h**2 + 1215*h. Factor b(i).\nAnswer: -4*(i - 378)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 605330761, 605330758, 605330755, 605330752?\nAnswer: 605330749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -443 = -8*o - 139. Suppose 0 = 45*l - o*l - 14. Solve -l*v - 5 = -5*i + 16, -7 = -i - v for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 + 152*x**2 + 309*x + 41. Give q(78).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2. Let z(d) = -873826*d**2. Give z(b(x)).\nAnswer: -3495304*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(77) + (sqrt(77) - -1*sqrt(77)) + sqrt(77)) - (sqrt(77) - (5*(sqrt(77) + -1*sqrt(77)) - sqrt(77))))\/(sqrt(1331) - -1*-2*sqrt(1331))*3.\nAnswer: 42*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bubb when four letters picked without replacement from {n: 13, u: 3, b: 4}.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, r: 11, c: 1}. Give prob of picking 3 r.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 17*u**2 - 407*u + 723. Let w be t(22). Let o = -5 + 3. Put o, w, 3, 4 in ascending order.\nAnswer: w, o, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44217, -88433, -132653, -176877, -221105, -265337, -309573?\nAnswer: -353813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66.8 + 66.7. Let g = -3.1 + 0.1. Which is the third smallest value? (a) 2\/11 (b) k (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/122015?\nAnswer: -2\/122015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 5*v + 10, 2*v = -2*x - v + 14. Suppose -x*l - 3861 = -15*l. Is 27 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g + 25*g = 59*g - 414 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -4498449.2?\nAnswer: -1799379.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54 + 90. Let f be (r\/(-8))\/((-4)\/16). Let y(s) = 15*s + 18. Let v(x) be the first derivative of x**2\/2 + x + 593. What is f*v(w) - y(w)?\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103 + -2?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 19*r - 16. Let t be z(18). Suppose -g - 5*f = -311, -2*g + 627 = 3*f + t*f. What are the prime factors of g?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10233, -10242, -10263, -10302, -10365, -10458, -10587?\n\"Answer: -p**3 - 2*p - 10230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5500002*s + 4. Let d(w) = -2 - 1243790*w + 30476*w - 1536687*w. Let z(k) = 9*d(k) + 4*v(k). Let y be z(-2). Round y to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 54557306?\nAnswer: 109114612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 w, and 1 j when four letters picked without replacement from fevwjeaawwwawefavej.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhvvhlullv. Give prob of sequence huv.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*p - 2*v, -5*p + 0*v + 5*v = -15 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 63 = -3*q. Let m be (6\/(-15))\/((-1)\/45). Calculate the highest common factor of m and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6972331 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40295212?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 6:53 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 9477, -2\/5, -4, -1, 5 in increasing order.\nAnswer: -33, -4, -1, -2\/5, 5, 9477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + h**2 + h + 1. Let q(o) be the second derivative of -o**4\/3 - o**3\/3 - o**2 + 3*o. What is -2*p(x) - q(x)?\nAnswer: 2*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z + 54*u - 69 = 53*u, -8*z - 35*u = -30*u - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*c + 10286 = 20700 - 10255 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 5) in base 15?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -200, -4, -2358, 2 in descending order.\nAnswer: 2, -4, -200, -2358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 11) to base 13.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 6 - -4) + -1 + 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4724155.67 rounded to the nearest one hundred?\nAnswer: 4724200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 5*x + 17. Let r(b) = -b**2 - 12*b + 6. Is r(x) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16059427 * 1.\nAnswer: -16059427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7\/488 (b) -4005 (c) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 265.5 less than -5028?\nAnswer: -5293.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 112181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 6. Let q be m(-11). Let t be 1 + 0 + 2 + 2. Put q, -4, t in descending order.\nAnswer: t, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x = -21*x + 5*m + 95, -7*m + 2*m + 265 = 10*x for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 852\/(-27)*(-87)\/(-232) and (2\/110)\/((-12)\/(-3030)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 25. Let y(t) = t**3 - 13*t**2 - 15*t + 8. Let s be y(l). Let r = -4 - s. What is the greatest common factor of r and 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22226940 divided by -1111347?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13137911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 176 and 2772?\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.701431 millennia in centuries?\nAnswer: 27.01431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 606606 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93777780 to the nearest integer?\nAnswer: 9684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123989 is divided by 123874.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -4, 2\/15, 12\/5, 1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 11:45 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 10*t**2 + 6*t - 6. Let l be h(-9). Let o = -17 + l. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200 (base 4) to base 13.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96) + (-4*sqrt(96) - sqrt(96)))\/(sqrt(200) + sqrt(200) + 2*sqrt(200) - sqrt(200)).\nAnswer: -8*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1339128440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*12\/90 + (0 - 1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 38*d**3\/3 - 265*d**2 - 171*d. Let o be x(7). Solve -5\/3*v**4 + 4\/3*v**5 + 0 + 2\/3*v**o + 0*v - 7\/3*v**3 = 0 for v.\nAnswer: -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or 3\/258851?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -38. Suppose 0 = 5*t - 21 - b. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0)*2\/4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 692 and 44807?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26120.9 + 26121. What is the fifth biggest value in q, -2, 12\/13, 4, 0.12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*t - 3. Put 5, t, 0 in decreasing order.\nAnswer: 5, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 10. Put 3\/5, f, 0 in descending order.\nAnswer: f, 3\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 627601390.\nAnswer: 2, 5, 13, 4827703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a + a + 0*a)*(0*a**2 - 2*a**2 + 4*a**2) + (-2*a**3 + 4*a**3 + 0*a**3)*(-2 - 1 - 1) to the form b + x*a**3 + i*a + v*a**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 230964430591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 5*y + 1345 = 0. List the prime factors of y.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 1 + (-1 - (4 + -20)). Suppose 63*y - 62*y - 4 = -3*b, 3*b - s = 4*y. Solve -l + 4 = 0, -7*a + b*a + l = 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r + 19. Let w be p(-10). Suppose 2*q = -0*q + 126. Calculate the highest common divisor of w and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22 - 4053\/(-168)) + 2\/(-1). Which is the third biggest value? (a) 4 (b) 2 (c) 3 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 23 = 55. Let v = p - -166. Suppose 14*i - 16*i = -v. Are 43 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-2 + (-45)\/(-50) + -2. Let z = q - -8\/5. Which is greater: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.17 and 8?\nAnswer: 1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 - 10*c - 2057. Determine a(32).\nAnswer: 695","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4 + 12*u**3.\nAnswer: u**3*(u + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 3:06 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.002 + 27.998. Let g = -29.27 + 0.27. Let f = a + g. What is the second biggest value in 2\/13, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58109326361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = w, -s + 2*w - 3*w = 6. Let j = 391\/3 - 131. Which is the biggest value? (a) s (b) -3\/2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 290671996?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 2*x + 18. Let q be (0 - (-20)\/8)*2. Suppose 4*k - 6 = 2*m, -q*m - 14 - 1 = -2*k. Solve 2*a - a - x = 5*t, k = -5*a + 20 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2. Let t(o) = 158*o + 2. What is l(t(u))?\nAnswer: -24964*u**2 - 632*u - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*(z\/(z*(z**(-2\/9)*z)\/z*z))\/z*z)\/(z\/z**(-1\/4)))**(-26))**(1\/3) assuming z is positive.\nAnswer: z**(481\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.8418.\nAnswer: 4.209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/sqrt(3) + 4 - sqrt(102)\/(sqrt(6)*-1))**2*2.\nAnswer: 32*sqrt(17) + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 3*f - 5. Let a be w(-5). Let t(p) = -p**2 + 10*p - 4. Let k be t(9). Solve a*n - d = 2, -n + k*d = -5*n + 19 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125 + 301 - 176 + 315*f**2.\nAnswer: 315*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/((-3)\/4*1). Let m(k) = 5*k + 20. Let o be m(-5). Let d = o + h. Solve 8*x = d*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/215 or 1?\nAnswer: 2\/215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * 0.033.\nAnswer: 0.0297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**2 - 16*m + 9. Let w be k(-6). Let x be (w*(102\/(-27) - -4))\/4. Which is greater: 40 or x?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15*(186\/9 + (-6 - -5)). Suppose -3*q = -2*q. Suppose q = -4*h + g + 1. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 4:56 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47456, -47079, -46700, -46319, -45936?\nAnswer: -45551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 10395*m - 602911. Calculate a(58).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -38, -38, -36, -32, -26?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -93151.4106 rounded to the nearest 10?\nAnswer: -93150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 16 = -u. Suppose -q = -2*g + u, -2*g + 40 = 2*g + 4*q. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 6*d + 42. Let b(z) = z**3 - 13*z**2 - 31*z + 6. Let h be b(15). Does 59 divide m(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -406.6 + 407. Let h be 12\/(-9) - -2 - (-8)\/(-12). Put -1, h, 1.9, r in ascending order.\nAnswer: -1, h, r, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 42410607.\nAnswer: -4\/42410607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -34*b**3 - 258. Let u(p) = -11*p**3 - 86. Let z(m) = 2*c(m) - 7*u(m). Differentiate z(l) with respect to l.\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2101 = -14*y + 2015. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i = -9. Let b(m) = m - 7. Let u be b(i). Let j(n) = 1 - 12*n**u + 5*n**2 - 1. Let f(o) = -o**2. Determine j(f(d)).\nAnswer: -7*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1*sqrt(1539)*2 - -3*1*sqrt(1539) - (3*(-1 + sqrt(1539)) + 0))*-4 + -1)**2.\nAnswer: -1584*sqrt(19) + 98617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 25, -27.\nAnswer: -27, -0.2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6974, 14199, 21424, 28649?\nAnswer: 35874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4308 to 2 decimal places.\nAnswer: 1.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 14*o**2 - 5*o - 12. Suppose g + 50 = 6*g. Let j be x(g). Let n = j + -183. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*y**4 + 2*y**4 + y**4 + (36*y**4 + 0*y**4 + 24*y**4)*(-5 + 1 - 2).\nAnswer: -366*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/20? (a) -1\/3 (b) 762\/5 (c) -1 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 11*u**2 - 11*u + 13. Let c be j(10). Solve 20 = -c*d - d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (80\/(-15) - -6)*-6. What is the hundreds digit of c\/6 - 401\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**5\/2 + 2*t**4 + 2025*t**3\/2 - 4050*t**2 = 0.\nAnswer: -45, 0, 4, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, b: 7}. Give prob of picking 3 b.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 2*r**2 + 13*r + 21. Differentiate v(d) wrt d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, k: 1, i: 2, j: 3, y: 6}. What is prob of picking 2 j, 1 i, and 1 y?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l + 21112 = -6512. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/7 - 30\/7. Suppose -4*t + 4 + 4 = 0. Sort l, t, -3.\nAnswer: l, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from {v: 2, b: 3, n: 2, i: 8}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44967964 a multiple of 706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 + 40. Which is smaller: y or 46?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -293 or -490?\nAnswer: -293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*f - 76*f + 761 - 2444 = 0 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -891, -1770, -2649, -3528?\nAnswer: -4407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -915 + 533 = 49*m + 1088 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 4*x - 3*x - 10, -3*s = -2*x - 29. What is the remainder when 111 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) 6\/13 (c) -58 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 771*s*x - 3252*s + 18944148*x wrt s?\nAnswer: 771*x - 3252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -555 - -555.00309. Round h to 4 dps.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - t + 3*t - 1032 = 0, -z + 501 = -2*t. Let s = z + -459. What is the remainder when 100 is divided by s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -0*y - 12*y. Let w(b) be the first derivative of b**4\/4 + b**3\/3 - b**2\/2 + 17*b - 4. What is w(y)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 191*j - 72. Let u(m) = m**2. Calculate u(s(x)).\nAnswer: 36481*x**2 - 27504*x + 5184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 67*c**2 - 255*c - 27. Calculate l(63).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 - 1206*f**2 - 62403*f.\nAnswer: -3*f*(f + 61)*(f + 341)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -2. Suppose -q*p + p + 12 = 0. Suppose 0 = p*t - t - 15. Solve -v = -t + 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1824 is divided by 91.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1870 - 1873. Sort -0.06, -4, 18, 0.2, a.\nAnswer: -4, a, -0.06, 0.2, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 50*n - 6. Let m(d) = -33*d**2 - 162*d. Give m(s(j)).\nAnswer: -82500*j**2 + 11700*j - 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 280866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + 154.8.\nAnswer: 155.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**4*w - 10954*t**4 + t**3*w + t**3 - 15*t**2 + 4*t*w + 5*t + w wrt t?\nAnswer: -24*t*w - 262896*t + 6*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 108964432201 - 760\nAnswer: 108964431441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - -1 - (483 + -430).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - m = -4*u + 52, -u - 59 = -5*m. Suppose -2*f + m = a, -2*f + a + 2 = -10. List the prime factors of (-4)\/f - 26\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 3)*(-157 - 47 - 159)*(2*y + y + 0*y) to the form m*y + k and give m.\nAnswer: 3267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*x + 8 = -82*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -2 (c) -5 (d) 224 (e) 3\/4 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 15. Let l = -60 + 41. Let q = 19 + l. Determine h(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-21)*-1*3. Let n = 403 + -295. Let h be (n\/(-945))\/(2\/(-7)). Which is the closest to 1? (a) h (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39539379983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*i**2*s**2 + 19*i**2 - 58*i*s**2 - 19*s wrt s?\nAnswer: 22*i**2 - 116*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 - 2 = 0. Suppose -5*h - 2*r = -29, t = 3*h + 4*r - 20. Solve 11 = i + h*z, 4*i + z = 4*z - 25 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 + 9 + 5*x**3 + (x**2 + 0*x**2 + 5*x**2)*(-2*x + 3*x + 2*x).\nAnswer: 23*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9) - sqrt(9)*5)*6 + sqrt(9))\/(5*sqrt(243) + sqrt(3)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 79*i**2 - 13. Let a be t(-4). Let m = 2129 - a. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29630.09 millennia?\nAnswer: 29630090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-1) - ((-72)\/(-32))\/9*-4. Which is the closest to 1\/4? (a) -6\/5 (b) -36 (c) -5 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -m**4\/3 - 16*m**3\/3 - 76*m. Let l(c) = -2*c. Give j(l(v)).\nAnswer: -16*v**2 + 64*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 6. Let x be k(-5). Suppose 0*a = -2*a - 4. Is a smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 146492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/6333 and 19\/3.\nAnswer: 6333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1\/9, -1\/2, -903751?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13 - -920) + 4\/(-8)*0. Let p = j - 14503\/16. What is the common denominator of 59\/26 and p?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**6*m*m*m*m*m*(m\/m**(1\/20)*m)\/m)\/((m\/m**(-2\/45))\/(m**(-3\/11)*m)) assuming m is positive.\nAnswer: m**(23033\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 2, f: 2, c: 7}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.2 + -2. Let q = 1035 + -6209\/6. What is the third smallest value in 1\/7, q, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/(f\/((f\/(f*f\/f**26*f))\/f)*f)))\/f**(2\/11))\/(f*(f\/(f\/(f\/((f*f**(-27))\/f)))*f)\/f*((f*f**(-2\/17))\/f)\/f) assuming f is positive.\nAnswer: f**(-9362\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 43226*x - 321872*x - 9 - 1611*x.\nAnswer: -280257*x - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-297)\/405*4\/(-88).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 89861.7.\nAnswer: 35944.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = a - 3, 131*a = 134*a + 9 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38696 and 120.\nAnswer: 580440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 9*b**2 + 28*b + 11. Let j(z) = -10*z**2 - 28*z - 11. Let k(p) = -6*j(p) - 7*y(p). Let r be k(-8). Calculate the highest common factor of 231 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 8:29 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6, 1, -2, 3693, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 4*s**2 + 3*s - 54. Determine u(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 8*w**3 + w**2. Let i be n(1). Let g be 51\/i + (-4)\/6. Suppose g*h = 4*j - 389980, -h = 2*h + 4*j + 234020. What is h rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2741 = -27*l - 2147 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(180) - sqrt(180))**2 + (sqrt(80)*-3)**2 - (-4*sqrt(45)*-2)\/((2*sqrt(90))\/sqrt(10)).\nAnswer: -4*sqrt(5) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 2 + -3 + -17?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 27. Let g be ((-6)\/94)\/((-42)\/112). Which is bigger: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -5*p + 476. Suppose -m - 3 = -2*q, m - q = -3*q - 7. Let n be 20\/(-2)*(m + 4). What is the highest common divisor of n and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-12\/5)*t*t*t\/((t*t**(-5)\/t*t)\/t)*t)\/((t*t*t*t**(-18\/11))\/t*t**(-25)) assuming t is positive.\nAnswer: t**(1718\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/242 and -16\/8880069.\nAnswer: 17760138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + 1. Let l = 6\/163 - -127\/978. What is the closest to 0.7 in o, l, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 (base 7) in base 13?\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - -0.1. Let n = -204 + 201. Which is the closest to 2\/7? (a) n (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3012028 is divided by 753002?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**2 + r + 1. Let x(y) = 5*y**2 - y - 1. Let o(q) = -3*j(q) - 2*x(q). Let i(b) = -3*b**2 + b + 1. Give 3*i(s) + 4*o(s).\nAnswer: -s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.21 - -0.21. What is the nearest to g in 0.1, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0*f + 4*p = -5, 3*p + 6 = 0. Let z be (-20)\/(-45) + 8\/(-36). Which is the third biggest value? (a) 5 (b) f (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45389513\/476 - 95356. Find the common denominator of s and 93\/2.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0*o + 4. Suppose 0 = -10*h + 87 + 33. What is the least common multiple of (h - 3) + (-4)\/(0 - -4) and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 2070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000944 to 5 decimal places.\nAnswer: 0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.456707104 - 0.443274596. Let d = 0.64 - -19.26. Let t = d + s. What is t rounded to six dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 12:49 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 254330 + 1.0715.\nAnswer: 254331.0715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, 329, 1333, 3325, 6635, 11593, 18529, 27773?\nAnswer: 39655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.3 + 1.2. Let t = -4 + y. What is the nearest to -1 in t, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185 a factor of 569915228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/148771545 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*((q\/q**(-1))\/q)\/q))**(5\/6)*(q\/q**1)\/q*q**(-2) assuming q is positive.\nAnswer: q**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9596690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 1\/5 (c) 577\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and -61.\nAnswer: -3.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1434115.\nAnswer: 5, 233, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4*(sqrt(500) - 1*sqrt(500)*-3))**2.\nAnswer: 384000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (-25 - 8) + 12 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11765292 and 196452?\nAnswer: 105887628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 77093 or 77092?\nAnswer: 77093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 120 = -2*y, 2*y = 7*s + 2079 - 1858 for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 79*g**2 - 135*g + 1489. Let r be i(-77). Let q = 47 + -52. What is the second smallest value in -3, q, r, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 12 + 36 = 0. Let j = x - 6. Let c(r) = -r + 2. Let t be c(j). Solve 0 = -2*u + 4*l + 26, t = -2*u - l - 0 + 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -18. What is the greatest common divisor of s and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -7*t + 53. Let z be x(7). Let p(n) = 1. Let c(h) be the second derivative of h**3\/3 - h**2 + 4*h. Determine z*p(s) - c(s).\nAnswer: -2*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 34*x**2 - 2*x + 5. Let w be n(2). Let o = w + -111. Calculate the remainder when o is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2104750 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241378 is divided by 120642?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2891 in 0.1, -0.4, 0.3, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -114.37 and -41.73.\nAnswer: 4772.6601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 5*k - 39, 4*k - 4 = 3*u + 2. Is ((-154)\/u)\/(3\/9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h. Let t be (-6)\/(1\/((-4)\/12)). Let b(d) = -17*d**2 + 10*d**2 + 5*d**2 + 7*d**t. Calculate j(b(g)).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 97831000 to the nearest one hundred thousand.\nAnswer: 97800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5 = -n. Let q(c) = c**3 - 5*c**2 + 3*c - 3. Let d(h) = h**2 + 6*h + 11. Calculate the smallest common multiple of d(-7) and q(n).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3325 and 7695.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260 = -4*z + 5*p, -z - 6*p + 2*p = -86. Let f = z + -134. Let t = -383\/6 - f. Which is the smallest value? (a) t (b) -5\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4834 + 0.0704. Round b to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3227 - 0.318342. Round p to 4 dps.\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2873433461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i - 30 = 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -6077?\nAnswer: 6077.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 4:33 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 17*r + 72. Let x be i(9). Let c(n) = 9*n + 5. Let y be c(x). Solve 8 = 5*k - 4*a, k - 3*k = y*a - 23 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 23) + (-7 - 1) + (2 - 0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -328, -312, -284, -244, -192?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3298 - -4110. Calculate the greatest common divisor of 1160 and v.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*p = 31*p + 126. Solve 71 + 19 = p*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 1 - 9 = 0, 2*b = 4*l - 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107874*m = -2*p + 107869*m + 35, 5*m = -p + 30 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324 and 10233?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (5 - (-7 + 10 + (0 - 7)))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -159015504, -159015509, -159015516, -159015525, -159015536, -159015549, -159015564?\n\"Answer: -f**2 - 2*f - 159015501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t**3 - 11*t**2 - 3*t + 29. Let i(b) = -2*b**3 + 4*b**2 + b - 10. Determine 8*i(k) + 3*x(k).\nAnswer: -k**3 - k**2 - k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(19)*-2 + 1 + 0 + sqrt(19) + (((2 + sqrt(304))*4 - sqrt(304)) + -1)**2.\nAnswer: 179*sqrt(19) + 2786","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 834582869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-6)\/(c**(-2)*c)*(c\/(c\/c**0))**(-38) assuming c is positive.\nAnswer: c**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -347633114*0.5.\nAnswer: -173816557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g - 7785 = 15*g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.9549056 and -4.\nAnswer: -4.9549056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, t: 4, n: 4, b: 2, e: 1}. What is prob of picking 1 b and 1 x?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, a: 8, x: 7, v: 1}. Give prob of picking 1 x, 1 w, and 1 a.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.3, -5, 4, -73954?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -179426 not equal to -175173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -n - n, -2*n - 123 = -3*o. Let d = -17 + 27. What is the remainder when o is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, j: 9, b: 2, q: 2}. What is prob of picking 2 b and 1 w?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 7*z - 13. Let r be c(8). Is (r - -926)\/(2\/2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*z + 45 - 74 = 215. Let q(w) be the third derivative of 4\/7*w**4 + 8\/21*w**3 + 0 + 3\/70*w**6 + 29\/105*w**5 + 10*w**z + 0*w. Factor q(y).\nAnswer: 4*(y + 1)*(y + 2)*(9*y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3121 (base 6) in base 9?\nAnswer: -854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (163 - 144 - (0 - -3)) + -55?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4987 - 49973\/10. Calculate the common denominator of a and 97\/384.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 + 23 - 18 - -3) + -55?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -4038916 and -4038917 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 4*w - 22, -7121*v + 7118*v - 3*w + 3 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -0.307, 0, -14 in increasing order.\nAnswer: -14, -4\/5, -0.307, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -2*l + 456. Suppose 5*g - l - 567 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10, -36, -70, -112, -162, -220, -286?\n\"Answer: -4*j**2 - 14*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3156709439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5301 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 times 0.51?\nAnswer: -7.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*i*y**5 - 6*i*y**2 + 13974*i*y + 7752*y**5 wrt y.\nAnswer: 1260*i*y**2 + 465120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**2*w**2 + 13922*k**2*w - 2*k*w**2 - 4*w**2 + 96451 wrt k.\nAnswer: -2*k*w**2 + 27844*k*w - 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f**3 - 41937*f**2 + 41936*f + 1. What is s(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, g: 8, t: 5, c: 2}. Give prob of picking 1 t and 1 g.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**9)\/r**(-2\/15)*(r\/(r*r\/(r**(-14)*r)))\/(r*r**2) assuming r is positive.\nAnswer: r**(-373\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 15 = 2*o, 19 = -4*h + 35*o - 32*o. Let b be (25\/(-1625))\/((-1)\/3). What is the second smallest value in h, -5, b, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 388 - 325. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69931769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -461*w + 10. Let l(g) = -147*g + 3. Calculate -2*i(q) + 7*l(q).\nAnswer: -107*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 8, u: 7, j: 3}. What is prob of sequence xxu?\nAnswer: 49\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*w + 21. Solve 2*y = w*i - 2*i - 6, 3*y + 9 = 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32574259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, o: 2, v: 3, p: 2}. What is prob of picking 1 p and 2 o?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.16 in 2\/5, 109, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 5*c - 7*t + 35, 6*c + t = 3*c + 96 - 121 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.031 - 0.019. What is the closest to t in 2\/13, -4, 0.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 7387 = -1165. Is 27 a factor of 1\/((-4)\/6 - o\/(-3102))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + (8 + 14 - (-12 - -147)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**4\/6 - 8*u. Let j(v) = 4*v. Calculate d(j(f)).\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10335 + 224?\nAnswer: 11003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/10))**(2\/15)*q\/(q**1*q)*q\/(q\/(q**(-26)*q)) assuming q is positive.\nAnswer: q**(-651\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hgwf when four letters picked without replacement from {o: 2, g: 3, s: 2, f: 2, w: 1, h: 2}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**2 - 66*x - 57. Let r be y(-21). Let n(k) = k + 8. Let j(q) = 3*q + 15. What is r*j(f) - 11*n(f)?\nAnswer: 7*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 952871.\nAnswer: 281, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.14, 0, 0.7, -2\/13, 0.015?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 16 + p + 5 - 6 + 11. Calculate the remainder when i(-8) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -686 - -702. Let x = 0 + 7. Suppose 5*f + x = 162. Calculate the remainder when f is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38689.\nAnswer: 7, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - -36. Find the first derivative of -2*t**4 + 57 - t**4 + 8*t**4 - 5*t**h + 13 wrt t.\nAnswer: 20*t**3 - 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1044 - 17746\/17. Put -7, 0.5, 5, z in increasing order.\nAnswer: -7, z, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 238 and 686.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 928 and 551?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -93*h + 4464. Calculate b(48).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -275*u**3 + 516*u**2 + 55*u + 31. Give z(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5256791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/8 of a decade?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 785818353 to the nearest 10000.\nAnswer: 785820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -86, -173, -272, -389, -530, -701, -908, -1157?\n\"Answer: -g**3 - 80*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -55 divided by 9\nAnswer: -55\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 153496 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-4))\/((-24)\/304). Let r = p - 17. Find the first derivative of -17*w**4 - 1 - 14 - 2*w + r*w wrt w.\nAnswer: -68*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*t - 113*t + 446 = -15*u - 27, -4*u + 5*t - 134 = 0 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1910015 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 w when two letters picked without replacement from uwwh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -18, 0, 8\/335?\nAnswer: 8\/335","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0410058 centuries to millennia.\nAnswer: 0.00410058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 14203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 - 113?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**4\/2 - v**3\/6 - 6*v. Does 3 divide h(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2144\/(-7) - (-5 + 165\/35). Let l = -274 - z. Calculate the smallest common multiple of l and 76.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113509865 divided by 16215695\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(2 + sqrt(57)\/sqrt(3)))**2 - (-3 + (sqrt(19) + 2 + sqrt(19) + 3)**2))*1.\nAnswer: -75 - 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -25. Suppose 2*t + 10 = 0, u - 35 = 9*t - d*t. Calculate the remainder when u is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f - 240 = -21*f. What is the remainder when f is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 44*s**4 + 10216*s**3 - 21497996*s**2 + 17580536*s + 3907200 = 0.\nAnswer: -825, -2\/11, 1, 592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-30))\/1)\/((-1)\/(-15))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*a - 1673 + 831 - 1825 = 0 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12bba (base 15) to base 4.\nAnswer: 32221321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 - 20*k - 904. Calculate t(-21).\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4552 greater than or equal to -730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (363 + 370 - 738)*(-k**2 + k**2 - k**2)*(-6*k + 2*k + 3*k).\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -24. Let d(v) be the third derivative of -v**6\/720 + v**5\/24 + v**4\/8 - 11*v**2. Let k(b) be the second derivative of d(b). Calculate k(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/(n\/n**17))*n)\/(n\/(n**(-12)\/n))*n**11\/(n**14*n) assuming n is positive.\nAnswer: n**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/72 and -53\/200176.\nAnswer: 1801584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 4:38 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiirnqiniqiniiiiti. Give prob of picking 1 t, 2 n, and 1 r.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-15)*(-164)\/492.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + b**2 - 1. Let m be s(3). Let a = m - -38. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*y**2 + 121*y**2 - 2*y - 192 + 2*y**3 + 190 to r + t*y + z*y**2 + l*y**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -4. What is the third derivative of -2*o**6 + 3*o**6 - 3*o**v - 2*o**2 wrt o?\nAnswer: -240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -308 + 312. Sort h, 3, -8 in increasing order.\nAnswer: -8, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/231 and -35\/198.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + 11. Let o = z + -20. Which is the closest to 0.1? (a) 6 (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212 + -2212?\nAnswer: -10201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -2*g**3\/3 - 30. Let p(c) = 2 + 6*c - 3 + 1. Give p(y(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9120407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 + -64. Let h(z) = 9*z - 23. Let v be h(3). Let r(l) = l - 11. Let o be r(11). Sort o, v, 8, c in descending order.\nAnswer: 8, v, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 3)*(0*u**2 - u**2 + 2*u - 1 + 0*u) + (-1 + 1 - 2*u)*(-3 - u + 3) - 2 + 2 - u**2.\nAnswer: 6*u**2 - 10*u + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o - 47876*o**3 + 2*o - 3*o + 4. Suppose -6*s + 10*s = -3*n + 6, 0 = -n + 4*s + 2. Let m be g(n). What is m rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5068, 4113, 3146, 2167?\nAnswer: 1176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -102719*z**3 + 6*z**2 - 473*z - 49?\nAnswer: -616314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67.04 - 1.04. Let f = n + -40. Let h = f - 26. What is the second biggest value in 4, h, -0.1, -9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2 - 3 + 1 + j + 2. Let c(n) = -169. Let q(w) = 679. Let t(r) = -4*c(r) - q(r). What is -3*f(m) - 2*t(m)?\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 972 divided by 324\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 103265021 to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5280332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -3*q - 47 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3d9 - -258?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -9*d**2 + 680*d - 9320. Calculate s(58).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r + 2*r + r + 14. Let a be 1*(1 + 0 + -1). Is 14 a factor of v(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r**2 + 2. Let y(n) = -5*n**2 - 3. Let w(j) = 6*d(j) + 4*y(j). Let t(k) = -6*k**2. What is w(t(v))?\nAnswer: 144*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 9*b**5\/4 + 239*b**4\/12 + 6*b + 9. Find the third derivative of f(k) wrt k.\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -937 (base 11) to base 7.\nAnswer: -3202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2 + 29*p + 18. List the prime factors of j(-20).\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q - 4. Let b be a(-3). Suppose -4 = 3*y - b*y. Let d(n) = 2*n**2 - 2*n - 1. Let l be d(y). Solve -4*h + h + 3 = 0, -l*h = 4*u - 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 89 or -2?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 - 2*i + 0)*(42710*i - 21632*i - 22905*i) + (2 + 2*i - 2)*(2*i - 3*i + 0*i) to the form f + d*i + n*i**2 and give n.\nAnswer: 3652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*((-105)\/(-26) - 4). Put -0.2, l, -2\/5 in decreasing order.\nAnswer: l, -0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-105)\/36)\/(1728\/23040)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1979 or -1980?\nAnswer: -1980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*n + 7. Let o(s) = 35*s + 237. Let m be o(-6). Calculate the highest common factor of m and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 1:45 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-2\/11)*z)*z\/z**(-4\/9))\/((z**(-1\/37)\/z)\/z*z**6*z) assuming z is positive.\nAnswer: z**(-17254\/3663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-39 - -1) + 47 + -554 + 433\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 2*r - 3. Let h(i) = -910*i**2 - 15*i + 18. Calculate h(s) + 6*j(s).\nAnswer: -904*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/426 and -91\/448312.\nAnswer: 95490456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -429\/10 + 10249\/235. Let g = -661\/5 + 10621\/80. What is the common denominator of g and f?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 249179 and 249179?\nAnswer: 249179","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -915.9 + 916. Let n = 6 + -6.08. What is the third biggest value in -3, q, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70900488 rounded to the nearest ten thousand?\nAnswer: 70900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -869 - -846 - (0 + -73).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0.04, -11, 1\/2, 0 in descending order.\nAnswer: 1\/2, 0.04, 0, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**8\/6720 - 4*a**5\/15 - 20*a**2. Let q(v) be the third derivative of z(v). Let c(s) = 6*s**2. Determine q(c(h)).\nAnswer: 108*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 153 and 12666411.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8518282.\nAnswer: 2, 4259141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -38*c**7\/105 - c**4\/24 - 74*c**3\/3 - c**2 + 80*c. Find the second derivative of a(s) wrt s.\nAnswer: -912*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 23\/7 + 2\/(-7). Let m be (-8)\/(((-40)\/28)\/5). Let l(x) = m*x**2 + 14 - 15 - 2*x + x**3 - 31*x**2. What is l(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, u: 3}. What is prob of picking 2 u?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 165.14 + 2.86. Let p = -168.5 + g. Let h = -0.2 + 0.1. Which is the nearest to -1? (a) 3\/5 (b) h (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 2211555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b**3*f**3 + 2*b**3*f*n**3 - 8*b**3*n**2 + 2*b**2*f**3*n + 7*b**2*f*n**3 - 2*b*f**3*n**3 - 2*f**3*n**3 wrt b?\nAnswer: -24*f**3 + 12*f*n**3 - 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2159\/544 - ((-20)\/5 + -19 + 27)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 258 and 128811.\nAnswer: 11077746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/110*1980\/135.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 - ((-2)\/(-5))\/(4\/20) a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from suskkcr. What is prob of picking 1 c and 1 s?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-392)\/680 + (-4 - 138\/(-30))?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3cc208 (base 14) to base 16\nAnswer: 202990","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -90 and -243573.\nAnswer: 21921570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -224, 4, 0.46, -7\/6 in increasing order.\nAnswer: -224, -5, -7\/6, 0.46, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 9 + 7 - 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21160106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 273*h**2 + h - h + 19 - 284*h**2 as b*h**2 + p*h + g and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + i + 61 = 4*x, 5*x + 5*i - 55 = 0. Solve -4*d + 3*d - 4*g = -5, -2*d = -3*g + x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 3 - 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2324 = -7*o + 4*o, -5*o + h = -3835. Differentiate -14*q - 792 + o - 24*q + 14*q wrt q.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2556\/(-355)*5\/(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 450391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2411125?\nAnswer: 5, 19289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 388*i - 1029 = 6343 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, m: 1, y: 3, z: 1, d: 1, n: 6}. What is prob of sequence mdy?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*c**2 - 189*c**2 + 102*c**2.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (11\/3)\/(1\/69) + -2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1800, -3623, -5460, -7317, -9200?\nAnswer: -11115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1307 is divided by 69?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -80*w - 6828. What is v(-87)?\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**2 + 2*t = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6377*-0.02\nAnswer: 127.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -790892, -1581784, -2372678, -3163574, -3954472, -4745372, -5536274?\n\"Answer: -x**2 - 790889*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-l**2 + 0*l**2 + 5*l**2)*(9*l**2 - 23 + 23) + 41*l**4 - 20*l**4 + 16*l**4)*(-1 + 2 - 3).\nAnswer: -146*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 6*v + 2. Let l(r) = r. Suppose 5*d + 4 = d. What is d*a(q) - 6*l(q)?\nAnswer: -q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {g: 8, i: 4, f: 5}?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 627*d - 1114 + 551 + 563. Let k(q) = -19*q. Determine -4*b(n) - 133*k(n).\nAnswer: 19*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 13. Let m be ((3 + -3)\/v)\/(-2). Sort -4, 1, m, -1\/2 in ascending order.\nAnswer: -4, -1\/2, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196250 at most 1196244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 1. Let i(q) be the first derivative of 33*q**2\/2 - 7*q - 7957. What is 5*b(r) - i(r)?\nAnswer: -28*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 2*n**2 + n**3)*(-15 - 131 - 6) + 0*n**3 - n + 5*n**3 - 3*n**3.\nAnswer: -150*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 3*q**2 + 7*q - 6. What is the remainder when 28 is divided by r(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 89*k**3 - 2*k**2 + k + 1. Let a be h(1). Suppose -10*r - a = -309. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = y - 3*q, 4*q - 28 = -4*y. Suppose y = k + k. Suppose k*w - 5*w = 0. Which is smaller: w or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + g**2 + g + 9. Let d(c) = 8*c**3 + 141*c**2 - 6*c - 683. Let u(f) = -d(f) - 6*n(f). Differentiate u(r) wrt r.\nAnswer: -6*r**2 - 294*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*p - 1109*p - 13029 = 7881 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20680.\nAnswer: 2, 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 z when two letters picked without replacement from qqzqqzzzqzqqqzqqzqq.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5010 + 5025. Solve -3*r + 3*h = -3, k = -r - 5*h - 14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 12. Suppose -7*o = -5*o - x. Suppose -p = 5*t - 6*p - 10, -2*p - 25 = -o*t. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 182 = -2616. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -89.1902 to the nearest integer.\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1663267620?\nAnswer: 2, 3, 5, 7, 3960161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (27\/(-30))\/9 - 403\/(-130). Let s be (-2)\/p + 60\/54. Solve 0 - s*f - 1\/3*f**2 + 1\/9*f**3 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 5. Suppose 4*s + 3*d - 37 + 5 = 0, 3*s + d = 19. Let n = 0 + s. What is the units digit of h(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/((-3*sqrt(6))\/sqrt(3)))**2.\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -3) + 4420\/(-2218). Let a = 32337\/24398 - s. Find the common denominator of 15\/14 and a.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-4)\/1)\/(-16)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + i - 8 = 8, 4 = -k - 2*i. Let f(d) = -d**2 - d - 2. Let l(m) be the second derivative of m**4\/12 + m**3\/6 + m**2 - 18*m. Give k*l(g) - 3*f(g).\nAnswer: -g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40.999955 - -41. Round a to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1991 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6*c + 3*k = -19, 0 = 5*c - 5*k + 15. Let b be -137 - (c + (5 - 2)). What are the prime factors of (-3)\/((-538)\/b + -4)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 88.43222cm?\nAnswer: 0.8843222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295007128.\nAnswer: 2, 13, 2836607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, e: 5}. Give prob of sequence cc.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + w**2 - 3*w**2)*(1 + 0 - 2) - 35*w**2 + 63*w**2 - 7 - 47*w**2.\nAnswer: -15*w**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2291?\nAnswer: 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 6 = -4*o - 38, 0 = -o - 5. Suppose l*j - 106 = -j + 4*m, -j + m = -22. Calculate the least common multiple of 2 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1099, 7, 3, -1\/165?\nAnswer: -1\/165","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, r: 1, c: 1}. What is prob of picking 1 r and 1 c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9074 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -849.7 - -816. Let r = 67 - 35. Let w = r + y. Round w to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 12) to base 11.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 44199990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**5 + 2*q**5 + q**5 + (2*q**2 + 0*q**2 - 3*q**2)*(-6*q**3 + q**3 + 4*q**3) + (-71*q**5 - 12763*q**4 + 12763*q**4)*(2 + 3 - 3).\nAnswer: -138*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12 * -4\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/31150 and 51\/386260.\nAnswer: 1931300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*n + 2, 0 = 2*b + 4*n - n - 4. Let t be 3*((-32)\/(-24) + (-2)\/b). What is the greatest common factor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4354 + -309143\/71. Let d = 669\/6958 + j. Find the common denominator of d and (-5 - -6)\/(554\/51 + -11).\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 12:05 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 111373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2 + -1.3. Suppose 16*t - 56 = 12*t. Let k be (t\/(-385))\/(1\/(-5)). Which is the closest to g? (a) k (b) 8 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + v**2 - 8*v - 8. Let j be y(5). Suppose 30 = b + t + t, t + j = 4*b. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 101 - 97. Solve 3*u + n = 2*u - 2, -2*u = g*n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -92.999937 + 93. Round z to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 9 = -3*j, 7*j = 9*j - 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*k - 436 - 123 + 153 = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/6 in 16, -8, 3\/2, -2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 0.4239 (c) 5 (d) 0.149\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 63652 in ascending order.\nAnswer: 0, 1, 63652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2)\/v)**(5\/7)*v**10*v\/v**9)**(-3\/2) assuming v is positive.\nAnswer: v**(3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -265, -1045, -2341, -4159, -6505, -9385?\n\"Answer: -x**3 - 252*x**2 - 17*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -9, 4985, -2\/3 in ascending order.\nAnswer: -9, -4, -2\/3, 4985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 6484 and 6382 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143\/508*(100\/(-36) - -3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*b + b. Let o = -57 + 62. Let x = -3 - -1. Sort x, o, 13, b in descending order.\nAnswer: 13, o, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2008 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 399, 2981, 9983, 23613, 46079, 79589?\n\"Answer: 368*g**3 + 2*g**2 + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 317421954 to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9 - (-4 + 18\/(-9)). Put 0.2, f, -0.3, -1\/23 in increasing order.\nAnswer: f, -0.3, -1\/23, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.455 and -596930?\nAnswer: 596929.545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 4*s + 6. Let x be l(4). Let p(f) = -f**2 + 5*f + 8. Let k be p(x). Suppose k*d - 40 = -3*d. What is the greatest common divisor of 32 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in 1\/6, -10, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 654481 is divided by 218136.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 10901*s - 3. Calculate o(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 - 664321035?\nAnswer: -664321061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 704093597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -147*u**2. Let t(s) = 4*s + 10. Let p(q) = -q - 2. Let i(j) = -20*p(j) - 4*t(j). Give i(w(z)).\nAnswer: -588*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 308 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 8*t + 20. Let y(b) = b**3 + 10*b**2 - b - 7. Let i be y(t). Is 2\/9 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**7\/1260 + 2*z**4\/3 + 12*z. Let b(l) be the third derivative of m(l). Let i(p) = -3*p. Determine i(b(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 65874527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9224\/7 + -1318. Sort 2\/9, 2\/45, l, 1 in decreasing order.\nAnswer: 1, 2\/9, 2\/45, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2)*((-560)\/210)\/((-2)\/(-6)). Solve -3*r - s = -2*r - 5*u, 4*r + 4*u + 16 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1912 - 9509\/5. Calculate the common denominator of d and 39\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 + 130 = j. What is the remainder when j is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 + -16 + 1 + -14\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 999015388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 12:38 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6198?\nAnswer: 2, 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13207454 to the power of 1\/4, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 - -52. Suppose 24 = v*b - f, -b - 2*f = -4*b + 23. Solve -3*d + 15 = 0, 2 = 5*x + b*d - 13 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/18 and -103\/7744.\nAnswer: 69696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3213010 + -1?\nAnswer: -3213011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 73 - 23 = 0. Let o be 8 - (4 + -10 - -25). Let w be o + (-404)\/(-36) - (-16)\/9. Solve w*v + 0*v = b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 8, 0.06, 2\/3, 1\/17, -0.01?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12586, -12591, -12596, -12601, -12606?\n\"Answer: -5*t - 12581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-7)\/(-3) - 2). Let k be (-10)\/(-4 + 6\/3). Let c = k - j. Solve -2*r + 2 = -c for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 4*j + 4*j)*(13*j - 2 - 11*j + 4) + 2*j**3 + j**3 - 2*j**3 + (-j + 2*j + j)*(2*j**2 + 1 - 1).\nAnswer: 11*j**3 + 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -5adcf0?\nAnswer: -5adcef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, 0.085, -1\/6, -2\/28021, -5?\nAnswer: -2\/28021","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-165)\/(-440)*-2)\/((-21)\/2)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + (sqrt(40)\/sqrt(8)*5)**2 - 4*(sqrt(25)\/sqrt(5) - sqrt(5))*-5).\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59581467?\nAnswer: 3, 11, 83, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 - 3624*b**3 - 265*b**3 - 1340*b**3 to the form j*b**2 + y*b + f + w*b**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*i - 2*w, 3*i = 7*w - 207 + 137 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*z + p - 14, -4*z - 2*p = -34. Suppose -3 = z*f - 3*f. Let l be 6\/12 - 15\/14. Which is the second biggest value? (a) l (b) 3\/2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*o - 15*o - 3. Let a = 0 + -2\/5. What is the closest to 2\/3 in o, -2\/7, a?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-162 - 126 - 103)*(-5*v + 3*v + v) to y + d*v and give d.\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 218219 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 3)*(-87 + 87 + 63*w + (-3 + 4 + 3)*(-2 + 2*w + 2)) to t + r*w and give r.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8393646 to the power of 1\/2, to the nearest integer?\nAnswer: 2897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -80 - (-13)\/(611\/1598)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -93107292*i**2 + 24995*i + 5 wrt i.\nAnswer: -186214584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -273.95 + 278. Let w = s - 9.05. What is the third biggest value in 5\/4, w, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -146 - -237. Suppose -81 = -5*k + 3*p, 4*k + 3*p - z = -10. Suppose -17*m = -k*m + 80. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6937.1779 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 187.0285 millilitres?\nAnswer: 0.1870285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 8*d - 24. Calculate the remainder when ((-26)\/(-13))\/(2\/104) is divided by b(-13).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*b - 448*b + 85*b + 81*b + 86*b + 81*b.\nAnswer: -22*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*l - 13*l + 156*l - 98*l.\nAnswer: -53*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 8*o**3 + 12*o**2 + 7*o + 6971. Let h(g) = 7*g**3 + 10*g**2 + 6*g + 6969. What is -5*f(b) + 6*h(b)?\nAnswer: 2*b**3 + b + 6959","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50263202 and 6.\nAnswer: 150789606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/675 and -109\/13800.\nAnswer: 124200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3440764013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -46. Suppose 47 = w - s. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 - 3*k**2 - 1 + 1.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -26. Suppose 0 = 13*a - 8*a - 15. What are the prime factors of (v\/3)\/(-2)*a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153147109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5167 + 3475. What are the prime factors of ((s\/16)\/(-3))\/(6\/8)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**5*r)\/r)\/r*r**(-5\/2))\/(r**2*r**(-5)) assuming r is positive.\nAnswer: r**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 231756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 3919*s**4\/24 - 1058*s**3\/3 - 2*s**2 - 54. What is the derivative of t(v) wrt v?\nAnswer: 3919","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 13, -10\/9, -3\/16, 0.05, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1247 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + w = -19, -3*w + 3 = g + 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -239.1, 2, -4441, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, 2, 5, -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 1)*(-29 - 3*q + 6 + 15).\nAnswer: -18*q - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -11, -0.6, -1\/14, -0.15, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/35 - 29\/105. Which is the second biggest value? (a) -2\/7 (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 70 = -34*h - 0 - 8, 5*z + 6 = -h + 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 5*q - 66 = 8*q, -4*m + q - 38 = 0 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - y + 70 = 0, -3*y + 149369 - 149414 = 2*m for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -b. Let q = 25 + -13. Let a = q + 4. Solve b*d = -4*d + a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 8) to base 2\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38150754533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**9\/272160 - l**7\/7560 - l**6\/1620 + 3*l**5\/20 - l**2. Let g(s) be the third derivative of q(s). Find r such that g(r) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 38*y - 63. Let m(t) = t - 24. Let u(s) = l(s) - 6*m(s). Let i(c) = 2*c. Calculate u(i(f)).\nAnswer: 64*f + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(5\/4))\/y*y**1)\/(((y\/((y\/(y*y**(-6)\/y))\/y))\/y)\/y**(-3\/7)) assuming y is positive.\nAnswer: y**(247\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**3\/3 - x**2 + 4*x - 7. Let b be j(2). Suppose 0 = b*u - u - 105. What is the remainder when 69 is divided by u?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, w: 7, k: 4, g: 1}. What is prob of picking 2 k and 1 r?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 9*t - 195. Let p = -167 + 141. Let m = t + p. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28358 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 1052\/3389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83656540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14716732147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -574.5*2.9\nAnswer: -1666.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(-838*r**2 + 2970*r**2 - 427*r**2)*(-3 + 4 - 3).\nAnswer: 3410*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 6, 5*m + 0*m = 2*h + 31. Let g = 10 - m. Solve k + g - 13 = -y, 0 = -3*k - 2*y + 19 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9278, 17880, 26522, 35210, 43950, 52748?\nAnswer: 61610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36401*l + 10992 wrt l?\nAnswer: 36401","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2177\/3784 + 121\/43. Let u = -26\/11 + z. Let r(q) = 2*q**2 + 18*q + 32. Let d be r(-7). Which is the smallest value? (a) u (b) -3\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18693495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.126 - 0.031. Let m = f + -0.095. Which is the fourth smallest value? (a) 2 (b) 3\/8 (c) 3\/5 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -41\/3, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-4) - 22\/(-4). Suppose -90 = -v*f - f. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4.59, 0.5, 3, 0, -4?\nAnswer: 4.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + sqrt(1900)))**2 - (sqrt(1900) - (4 + sqrt(1900) + -2)**2).\nAnswer: -150*sqrt(19) + 19013","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*m = 26*m - 4*z - 28, 4*z = 2*m + 80. Let o be (-26)\/(-117) + (-8)\/m*-1. Factor 0*a + 0*a**2 - 2\/23*a**5 + o - 6\/23*a**3 + 8\/23*a**4.\nAnswer: -2*a**3*(a - 3)*(a - 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*k + 5. Let d(c) = -c**2 - 5*c + 2. Let x be d(-5). What is the third derivative of p**k + p**x + 3*p - 3*p wrt p?\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c - 171. Let x be m(-29). Let r = 18 + -31. Sort -1, r, x.\nAnswer: r, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3156*i = 380049 - 140193 for i.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-3))\/(1\/18). Suppose j = 3*y - 0*y. Suppose 16 = 3*d - y. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27 and -4.6.\nAnswer: 124.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/3 - 2\/6. Let m = 3.1 + -2.968. Let v = 0.032 - m. Sort 0.3, v, g in ascending order.\nAnswer: v, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3582 + -3581.99. Which is the fifth smallest value? (a) 2 (b) 2\/17 (c) k (d) -0.1 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*a + 3, -13*a + 24 = 4*z - 9*a. Solve 20 = -y - 4*s, -z*y + 7*s - 3*s = -4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 27.8. Let w = 6.3 - 6. Which is the nearest to 0? (a) h (b) -1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -5 + 7 + -1 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 296.8 + 49.2. Let y = -350 + i. Sort y, -2, 1\/26, -3 in decreasing order.\nAnswer: 1\/26, -2, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-80465)\/88)\/77 + 12. Let m = 2 - 1. Let h be 1*(0 - (0 + m)). Which is smaller: h or z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -4256666.\nAnswer: -4256666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 763591 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 239358*j**3 + j**2 + 3*j - 5. Is b(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2466799 a multiple of 322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4008701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.5789 + 0.8789. Which is the smallest value? (a) x (b) -2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -83, -84, -85, -86, -87?\n\"Answer: -k - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000177691 rounded to 6 dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 - -5. Let p = -22 - j. Suppose -3*b - p*s - 4 = -4*s, 0 = 5*s + 20. Solve 11 = 2*l + u, b = l - 9*u + 4*u + 11 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 386388, 386394, 386410, 386442, 386496, 386578?\n\"Answer: d**3 - d**2 + 2*d + 386386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20.3103 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 5*o**3 + 2*o**2 - 8*o. Let j(k) be the first derivative of 3*k**4\/2 + 2*k**3\/3 - 7*k**2\/2 + 5058. What is 4*d(a) - 3*j(a)?\nAnswer: 2*a**3 + 2*a**2 - 11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -151825, -303631, -455437?\n\"Answer: -151806*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-63)\/28)\/((-21)\/(-28)) + 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -29*i - 701. What is t(-25)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/112 and 29\/575432?\nAnswer: 8056048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 134 - 125. What is the closest to 3 in f, -2\/15, -1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 64517863?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in 1.29, -0.2, 2\/3, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(1\/4)\/p)*p*p\/(p**(-7)\/p))\/(p*p*p\/(p\/p**(2\/5)))**(-44) assuming p is positive.\nAnswer: p**(2347\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-8) - 3\/(-2). Let i be (1 - f)*(-2 - 0). Solve 0*g - 3*g = n, -i*g = 3*n - 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/4*3176\/13895.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of 20 - 1\/273*r**7 + 3\/13*r**4 + 0*r - 8\/39*r**3 - 5\/39*r**5 + 9\/260*r**6 + 2*r**2. Find k such that h(k) = 0.\nAnswer: 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, j: 2, c: 1, u: 2, s: 4, l: 3}. What is prob of picking 1 u, 1 j, 1 s, and 1 l?\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 22*m - 3. What is n(-23)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3794.1 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 21*o**2 + 11*o - 22. What is the hundreds digit of w(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5359 - 1416. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - i**2 - i. Let g be d(0). Suppose -3*k = -g*k - 42. Suppose -4 = 2*q - 14. Solve z = 3*s - q*s + 13, 2*z = -s + k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.297 rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1\/(f**6*f))\/(f\/(f\/(f*f*f**(2\/17)*f*f*f))*f)**(1\/2) assuming f is positive.\nAnswer: f**(-154\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 5*q = 10. Let j be (0\/(-1))\/(-5*(-2)\/(-5)). Suppose j = 17*k - 20*k - 6, -5*k = -4*l + 6. Sort 3, q, 5, l.\nAnswer: q, l, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 10:27 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -122*v - 3*v**2 - 8 - 115*v + 277*v - 2. Determine h(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -6)\/(-10)*6. Suppose 4*m = 5*t + 2*m - 25, w*m = t + 8. What is the least common multiple of 4 and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -1. Let p = 190 - 15388\/81. Which is greater: p or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjnc when four letters picked without replacement from {n: 2, j: 4, c: 6}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4945*z - 2*z**2 - z**2 + 4945*z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39214 and 25209?\nAnswer: 352926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.1 + 11.1. Let d be 30\/(-9) - 4\/(-12). Let m be d + 129\/(-135)*-3. What is the closest to -1\/4 in -0.3, u, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 3*h + 1. Let o be (203\/58)\/(h\/2*1). Solve k = -2*l + 13, -o*k = -4*l - 3*k - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 71820, 71825, 71830?\n\"Answer: 5*q + 71815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 1. Let p(h) = 2*h - 12. Let x(w) = -3*l(w) - p(w). Determine x(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**4\/3 - 194*i**3\/3 + 3785*i**2\/3 + 248*i\/3 - 24080 = 0?\nAnswer: -4, 5, 21, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5280 by -480.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6*j + 38. Determine t(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s**4 + 4*s**4 + 5*s**4)*(-1 + 2 - 2) as n*s**3 + q*s**4 + c*s + y*s**2 + h and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z - 3*c + 18 = 0, 3*z = 4*c - 17. Let o(u) be the first derivative of z + 0*u**2 - 3*u - 1\/3*u**3. Differentiate o(j) wrt j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9016 is divided by 4398.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(3 - 6)*-1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -243*x - 9. Let v be h(-3). Let z = 1541 - v. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*c**3 - 10489 + 10489.\nAnswer: -127*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*g + 130 = b, 0 = -4*b - 2*g + 98. Let y = b - 26. Is 1 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 91926*p - 919242. Give k(10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, k: 1, t: 2}. Give prob of sequence kk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/(-7) - (-18)\/42. Solve -c*m - 5 - 3 = -2*o, -2*m = 3*o - 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1783, 3337, 4879, 6409, 7927, 9433?\n\"Answer: -6*q**2 + 1572*q + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 317 = 4*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1904246490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*k - 7*k + 2*k + (3 - 4 - 14)*(-4*k + 2*k - 1 - k).\nAnswer: 54*k + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -6570000 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4347920 divided by -543490?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and -22 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000560634 rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 224 and 8?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 - 170 = -c - 4*b, -4*c + 1370 = 2*b. Let x = -312 + c. What is the greatest common divisor of 60 and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -15*w**2. Let c(t) = -13*t. Let h(i) = 3*i + 4. Let l(y) = -2*y - 5. Let f(j) = -5*h(j) - 4*l(j). Let x(q) = -6*c(q) + 11*f(q). Calculate n(x(u)).\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**4 - 5703*b**3 - 8280075*b**2 - 422973125*b = 0 for b.\nAnswer: -2825, -53, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) -4\/7 (c) -5\/3 (d) 6\/11 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/7, -7403 in increasing order.\nAnswer: -7403, 1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -63*c**2 - 1262*c - 42. Let l be m(-20). Sort -1, l, 3, 12 in descending order.\nAnswer: 12, 3, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 473172652?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 2*d**2 + 0*d**2)*(-4*d**2 + 2*d**2 + 3*d**2) + (33*d - 39*d - 28*d)*(-4*d**2 + d**3 + 4*d**2) + 0*d**4 + 0*d**4 - 2*d**4.\nAnswer: -33*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9088*p**2 - 3031*p**2 - 3033*p**2 - 3047*p**2.\nAnswer: -23*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -146083886.\nAnswer: -292167772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**3 + 10*j**2 - 6*j + 8. Let l be y(-6). Let g = 304 + l. What is the least common multiple of 18 and g?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 16. What is the derivative of 2 + b**2 + l - 5 + 6*b**2 wrt b?\nAnswer: 14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3576 < 1089\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -65*d - 741. Let w(l) = 16*l + 184. Let g(h) = 3*o(h) + 13*w(h). Let i be g(-13). Solve i = 4*p - 3*k - 16, 0*p - 12 = -3*p - 3*k for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1897821928 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*z - 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g - g - 1 + 0. Let s(i) be the third derivative of 0*i + 0 + 1\/3*i**4 - 75*i**2 - 2\/3*i**3. Give 6*l(x) - s(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -110.69 - -28.69. Is 71 at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*m + 1761 + 16939. What is the remainder when (-1*18\/15)\/(11\/m) is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - g + 25 = 0, -l + 0*l - 9 = -3*g. Let x(o) = -o**2 - 20*o - 1. What are the prime factors of x(l)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 82\/7? (a) 1\/3 (b) -1\/5 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 44 + (-32 - -6)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.22 - 14.21979045. What is u rounded to 6 dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**3\/6 + 25738*w**2\/3 - 110441750*w + 882985008 = 0.\nAnswer: 8, 25734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 a factor of 18596171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 0 - 860\/172?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k**2. Let r(i) be the first derivative of 3 + 0*i - 1\/2*i**2. Determine w(r(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert c3859 (base 14) to base 13.\nAnswer: 13642b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + z - 2*v - 4, -3*v = -z. Suppose 0*i = -2*i, 5*i = -z*c + 78. Let m(d) = c*d - 13*d - 23*d. Let w(y) = -y. What is w(m(o))?\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114717?\nAnswer: 3, 38239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18144 and 203392?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 73110 (base 15) to base 10\nAnswer: 364740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/148106615 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -a7?\nAnswer: -a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 4:46 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34689, 34156, 33623, 33090, 32557, 32024?\nAnswer: 31491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000379 to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2326366.542 to the nearest one hundred.\nAnswer: -2326400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.22 - 16.22. Which is the closest to z? (a) 3 (b) -1\/2 (c) 0.4 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -4, 60, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + -1. Let i = -18 - -14. Let w be i\/3*21\/7. Sort -3\/2, w, y in ascending order.\nAnswer: w, y, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 39*k = -44*k + 333900025, -d + 3*k + 111300013 = 0. Suppose 2*o - 3*o + 148399998 = -4*n, d = -3*n - 5*o. Round n to the nearest one million.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.25 - -24.65. Let q = -6.06 - -43.76. Let x = y - q. What is x rounded to 0 decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 4*c + 6. Let x(n) be the first derivative of -n**3\/3 - 3*n**2\/2 + 5*n - 5. Let m(q) = 5*k(q) - 6*x(q). Factor m(w).\nAnswer: w*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 12, 2*c + 12 + 8 = -5*i for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 9:39 AM?\nAnswer: 256","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5819807386?\nAnswer: 2, 227, 12818959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - y**3 + 17 - 8 + (-8*y - 6*y + 5*y)*(3 - 3 - 2*y**2) to the form l + o*y + t*y**2 + x*y**3 and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 7*r**2 + r + 4. Let t be a(-7). Are t and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -718930.684 to the nearest one hundred.\nAnswer: -718900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e + 1b?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 11294*a**2 - 11300*a + 22592.\nAnswer: 2*(a - 5648)*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -299*b**3 + 0 - 2 + 199*b**2 + 3 - 200*b**2 in the form k + q*b**2 + i*b + a*b**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4*sqrt(70)*-3 + sqrt(70)))\/(-1*sqrt(90) - sqrt(1210)*-1).\nAnswer: 11*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -50 (b) -4 (c) -1\/26 (d) 30 (e) 0.3 (f) 1\/5 (g) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24 + 1*0\/1. Let c(j) = -j + 3. Let r be c(4). Let t be (-1 - 1) + (5 - r). Solve 5*w - d + 0*d = 5, -t*d + y = 2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -13035221\nAnswer: 5214088.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -0.1173?\nAnswer: -4.8827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxurprpy. What is prob of picking 1 u, 1 r, and 1 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -5. Let p be (-20)\/i*(-12)\/10. Let d(n) = -n + 1. Let l be d(0). Calculate the highest common factor of l and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 23270777632?\nAnswer: -23270777636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 177450 and 55550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16319 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) -1 (c) 4.2 (d) -4 (e) -5 (f) -2905\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 264 + -264.00000267. What is f rounded to seven dps?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -13)\/(-2) - -4. Let n be -3 + (-2 - -3 - h). Let y be n*18\/(-8)*120. What is the highest common divisor of y and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(84\/7)*(18\/324)\/((-10)\/315)?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4888266 is divided by 27462?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-8 - -5) + 11\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r. Let g(q) = 54*q - 14*q - 49*q. Determine g(w) + 6*j(w).\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*j + 2487 = -0*w, 0 = -2*j + 4. Let b = w + 3648. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*x**3 - 28*x**3 + 46*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4279\/6 + -725. Let k be ((-169)\/(-52))\/((-6)\/(-10204)). Let l = -5550 + k. What is the common denominator of j and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-3) + 2\/2. Suppose t*r - 3*r = -3*s + 3, -r + 2*s - 1 = 0. Let u(a) = -92*a - 1. Is u(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 19*a**2 - 2*a - 1. Let o(r) = -r + 2. What is the remainder when y(-1) is divided by o(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-38)*r)\/r)\/(r**(18\/11)*r*r*r))**(1\/4) assuming r is positive.\nAnswer: r**(-469\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -14. Suppose 4*g = -r + 52 + 1, 0 = -g - r + 11. Suppose 0 = 3*t - 2*o - 55, g*t - 15*t = -3*o - 30. Solve -j + 8 = -5*b, w*j - t = 2*b - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 235496 and 235232 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*i = 628*i + 10815 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 212.0821.\nAnswer: -42.41642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tb when two letters picked without replacement from bttbtjbjb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + -48b2?\nAnswer: -48a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 4 (c) 1\/6 (d) -9\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 157 and 314?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -497*h**3 - 16*h**2 - 6*h - 828. Let y(t) = -166*t**3 - 6*t**2 - 2*t - 276. Let n(r) = -8*y(r) + 3*z(r). Differentiate n(x) with respect to x.\nAnswer: -489*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 327, 726, 897, 726, 99, -1098, -2979?\nAnswer: -5658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 2*s = 5, 0 = -179*x + 176*x + 3*s - 33 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41\/5 + 8. Let x = 0.7 - 0.2. Let s be -1 + 4\/16 + 0. What is the third smallest value in s, q, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190.08 rounded to 0 dps?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, v: 3, j: 1, r: 1}. Give prob of sequence vrjj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m - 11*m = 40. What is the least common multiple of 24 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2\/9 - 1436*l\/9 + 2888\/9.\nAnswer: -4*(l - 2)*(l + 361)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -6 + -14 + 27 + -15?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 32 - 4. Suppose k = 5*x - 4*x. Suppose 2*n = 6*n - x. Solve 4 = -n*a + 5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 261352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69 + -65. Suppose i*w - 40 = -w + p, -4*w + 32 = 2*p. Solve -4*o = 5*d + 2 - w, 2*d + o = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -6728\/11 + 694\/11*u**2 - 6\/11*u**3 - 19952\/11*u = 0?\nAnswer: -1\/3, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512629136 a multiple of 2384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, q: 2, z: 1, s: 2, i: 2, c: 4}. What is prob of sequence cs?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14673 and 5776271.\nAnswer: 4891","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 12*u**2 + u. Let f be (-6)\/(-15) - 160\/25. What is the remainder when 91 - (-12*2)\/f is divided by i(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40522\/7 - -5797. Let n = -11\/5 + 153\/65. Let p = 465\/104 + n. Calculate the common denominator of p and i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*c*r**3 - 3687*c*r + 3267716*r**3 - 44881*r wrt r?\nAnswer: -162*c*r + 19606296*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from eeennneeen?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + 10. Let n = 13 - j. Let d(q) = 3*q**2 - 4*q + 2. Let v(h) = h**2 + h. Let u(w) = -d(w) + 4*v(w). Calculate u(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 2*b**2 - 7*b + 2. What is q(-5)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/67323 and 74\/171.\nAnswer: 3837411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 4*o + 20, -2104*b + o - 12 = -2102*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*v + 15. Let b(q) = 86885*q**2 + 5*q - 4 - 65909*q**2 + 79023*q**2. Let i be b(v). Round i to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**4 - 12*r**2 - 2*r**4 + 7*r**4 + 0*r**4 wrt r.\nAnswer: 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154500 = -110*v + 35*v. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 24*u**2 - 112*u + 10. Let k be n(-28). Solve -6*t + 4*t = k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a hour in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18742\/11 + 120\/660. Which is smaller: h or 1705?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/24 + (-222)\/(-48). Are r and 50\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + 3)**2 + sqrt(243) + (-2*sqrt(243))**2.\nAnswer: 39*sqrt(3) + 1056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1659, 30, -25, 4, 5, -1 in ascending order.\nAnswer: -1659, -25, -1, 4, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 20. Let p(v) = 2*v**3 - 2*v**2 + 1. Let z be p(-1). Let m = z + n. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 20, -5.\nAnswer: -5, -0.2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 360, 0, 4.\nAnswer: 0, 4, 360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 78, 111, 96, 27, -102, -297, -564?\n\"Answer: -j**3 - 18*j**2 + 94*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/9870 and 22\/1645?\nAnswer: 9870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**3 - 4*n**3 + 3*n**3 + (-5 - 36*n - n**2 + 3 + 38*n)*(-n - 13 + 13) to the form p*n**3 + f*n + u*n**2 + a and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79 + 9. Let h be 3\/2*t\/21. Let o(p) = p**3 + 6*p**2 + 5*p - 5. Let k be o(h). Let x(g) = g**2 + 5*g + 3. Determine x(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(78) - 4*(sqrt(78) + sqrt(78) + sqrt(78)*2 + sqrt(78) + sqrt(78) + sqrt(78)))\/(-2*-1*sqrt(294)).\nAnswer: -18*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3383824 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u**2 + 8*u - 5. Let z be b(3). Let i be 24\/z + (-5626)\/(-16). Calculate the highest common divisor of 44 and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1245, 983, 4685, 9867, 16535, 24695, 34353, 45515?\nAnswer: 58187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -12. Let d(c) = -5*c - 20. Suppose -3*x = -16 + 10. What is the least common multiple of x and d(z)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/23677008 and 65\/670104?\nAnswer: 71031024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6501170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g + 4*g + 3*g. Let k(z) be the second derivative of -z**4\/12 - 81*z**2\/2 + 6*z + 2. Let u(i) be the first derivative of k(i). Calculate u(b(d)).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4 - 0. Let c be (-3 - -2)*b + -2. Let s = c + 12. What is the remainder when 23 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4*(3*sqrt(1331) + sqrt(1331))*3)**2.\nAnswer: 5280*sqrt(11) + 3066649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*a - 34. What is the remainder when (-3)\/a + (-468)\/(-20) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 97416.\nAnswer: 5\/97416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**6\/120 - 13*g**5\/60 - 14*g**2. Find the third derivative of v(h) wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-232197 - 1588*v + 232197)*(-2*v + 2*v - v).\nAnswer: 1588*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13249421*y**4 - 12323709*y.\nAnswer: -158993052*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 1008*m = 983*m - 875 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35495769437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 12, r: 2, o: 2, d: 3, e: 1}. What is prob of picking 1 r and 1 x?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 6*u - 54 = 0. Let p = 48 + u. Let d = p - 0. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -567482*w**5 - 14*w**3 + 3978*w**2 - 4861 wrt w?\nAnswer: -34048920*w**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/150 and 33\/200?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131954, -527719, -1187318, -2110751, -3298018, -4749119?\nAnswer: -6464054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 - -34. Solve i*b - 5*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 471287879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/13185456 and 117\/56.\nAnswer: 92298192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 - 185652*o**2 - 371292*o - 185644.\nAnswer: -4*(o + 1)**2*(o + 46411)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one halves of a meter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -343*y**5 - 218*y**4 - y**3 - 209936*y**2 - 2*y.\nAnswer: -20580*y**2 - 5232*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 7*l + 9. Suppose 14*x = 16*x + 14. Let r(k) = k + 3. Let z be r(3). Let f(m) = m**2 - 6*m + 8. What is x*f(v) + z*d(v)?\nAnswer: -v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 138 + -135. What is the closest to 1 in b, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -0.05, 0.02, 0.2, 4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 277, 555, 833?\nAnswer: 1111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*n - 2*n + 33. Suppose 5*v - n*m - 470 = 0, 58 = 2*v - 2*m - 134. Let c(h) = 8*h - 1. What is the remainder when v is divided by c(4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 4, -8, -29189, 0 in increasing order.\nAnswer: -29189, -8, -3, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -230 + 30051204?\nAnswer: 30050534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from oooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - (-7 - -3))\/(1\/(-4)). Let g(d) = -d**2 + 3*d + 4. Determine g(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, t: 1, p: 5, c: 1, s: 3}. Give prob of sequence psss.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7346 and 7581072.\nAnswer: 7581072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -2*f**2 + 50 - 8*f + f + f**2 + 0*f**2. Determine o(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 901765 is divided by 923.\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ueieuummereueuu. Give prob of sequence emme.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, -5, 14, 2 in increasing order.\nAnswer: -50, -5, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248*w - 24 = -250*w. Suppose -6*d + 32 = -2*d. Let q = w - d. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1117 - -1129. What is the smallest common multiple of 942 and u?\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24382905*z**4 + 2935*z + 368 wrt z.\nAnswer: 292594860*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 255866 divided by 13.\nAnswer: 19682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**3 + m + 5. Let v(b) = b**3 - 1. Suppose 230*t = 222*t - 80. Calculate t*v(x) - 2*q(x).\nAnswer: -4*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2084045?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -4 + 1 + -3 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 914 + -837. Calculate the remainder when r is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33648 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3853, 3849, 3843, 3835, 3825, 3813, 3799?\nAnswer: 3783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11932468843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -29*j**2. Let h(i) = -5*i + 2782. What is h(g(m))?\nAnswer: 145*m**2 + 2782","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -19*i. Let g(k) = -5 - 15*k + 31*k + 1 + 13 - 15*k. Determine w(g(r)).\nAnswer: -19*r - 171","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**3 + 2*y**2 - 3284*y + 6564. What is i(2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40829*h**5 - 2137*h**2 + 2 wrt h?\nAnswer: -2449740*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4 = 0, 0*d = -3*d + 2*c - 11. Let m be d*(-1)\/(-6)*-4. Let u(b) = 0*b - 3*b**2 - 2*b**m + b - 1. Determine u(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 97*j - 10. Let u(s) = 189*s - 18. Let f(x) = 9*d(x) - 5*u(x). Let h(p) = 14*p**2 + 2. Calculate h(f(z)).\nAnswer: 72576*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -3184 and -0.3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 935 greater than or equal to 936?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10078253 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*1\/(-14)*-27041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -932, -1559, -2174, -2771, -3344?\n\"Answer: j**3 - 634*j - 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 150?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/91 (b) -1\/3 (c) 253 (d) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18830988 and 6534.\nAnswer: 18830988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4108446282 divided by -2\nAnswer: 2054223141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -10*q - 10. Let p = -35 + 40. Let z(n) = -7*n - 7. Determine p*w(j) - 7*z(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**5\/2 - 8*s**4 - 35*s**3 + 50*s**2 + 10*s. Factor g(r).\nAnswer: -2*(r + 5)**2*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 410930.4 hours?\nAnswer: 17122.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 19*c. Calculate p(19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 43*g - 15. Let h(w) = -5*w - 1. Determine -d(a) - 6*h(a).\nAnswer: -13*a + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 619 + 11 = 15*t. Suppose 44 - t = -2*y. Let x(z) = 21*z. What is x(y)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1864282, -3728542, -5592780, -7456990, -9321166, -11185302, -13049392?\n\"Answer: r**3 + 5*r**2 - 1864282*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 225 = -3*y + 727, 0 = -2*y - d + 644. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -975586, -975548, -975506, -975460?\n\"Answer: 2*o**2 + 32*o - 975620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.25 - 0.25. Suppose 346*m = 378*m - 96. Let q = -9 + 11. What is the nearest to v in q, 4, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012281818 rounded to 5 decimal places?\nAnswer: 0.00123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 26, 36, 56, 92?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 34, 33, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 16. Let v be o(6). Let z = -9 - v. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 6*n - 10. Let m be u(-4). Let q be 30\/9*(m - -26). Calculate the highest common divisor of q and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300564 divided by -121\nAnswer: -2484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 3*v + 9. Suppose v*g = 3*j - 36, -2*j = -6*g + g - 15. Suppose 0 = -19*o + j*o + 60. Which is smaller: 4 or o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201020 - -1?\nAnswer: 201021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from srrrwrrgrrgwrrrwllr. What is prob of sequence rwr?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.33 + -13.33. Let n = 8 + b. Let u = -5.00053 - n. Round u to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -11a62445?\nAnswer: 11a62446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (95\/38*4\/35)\/1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10088*h**3 - 10084*h**3 + 4 + 2*h**4 + 71*h + 1 wrt h.\nAnswer: 24*h**2 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3893219\/15480 - 1\/15480. Let f = -251 - u. Which is the second biggest value? (a) 1\/3 (b) -2\/19 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, i: 6, l: 3, e: 7}. Give prob of sequence ell.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 414336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -120*z + 24522. What is w(204)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2521.771ug to milligrams.\nAnswer: 2.521771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.964 * -0.3\nAnswer: -0.5892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 125399 - 87962. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**4 + o**4 + 2*o**4 + (0*o**4 + o**4 + 2*o**4)*(2 - 1 - 3)*(0 + 3 - 2).\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 7*v - 4. Let p be a(-6). Suppose -29841270 - 9799270 = -p*x. Suppose 2*w = 5979730 + x. What is w rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 - -11.0693.\nAnswer: 48.0693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1253 - -586. Let f = j + 1812. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2055157476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2)**(-8)\/(h\/(h**(-1)\/h)*h*h)**(1\/2) assuming h is positive.\nAnswer: h**(-37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.051 - 2.949. What is the nearest to 2 in t, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -0.804?\nAnswer: -1.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/10)\/(2\/30). Suppose w - 4*w = -4*c - u, -2*w + 8 = -2*c. Let z(g) = g**2 + 2*g + 4. Let y be z(c). Solve -4*t + r = -20, -r + y = 5*t - 3*r for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 261.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dbb when three letters picked without replacement from bbdbddbbdbbd.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 39. Suppose -n = -g + 124. Is 16 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-12)*c\/(c**(-14)\/c))**(-39))**44 assuming c is positive.\nAnswer: c**(-10296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*v**2 - v - 5 + 5 + 2*v**3 - v**4 to f*v + d*v**2 + m*v**3 + l*v**4 + y and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 624\/1404 + (-1)\/(-216) and 1\/(-2)*(-146)\/(-22).\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45 - -14) + 23 - 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-3 + 7)) + (184 - 292 - -5)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 237711220 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 22*g**2 - 3. Let c(z) be the third derivative of -23*z**5\/60 + 2*z**3\/3 - 3*z**2. Let p(d) = 3*c(d) + 4*i(d). Is p(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.32 rounded to zero dps?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 829, -2028, -9779, -24872, -49755, -86876, -138683, -207624?\n\"Answer: -408*g**3 + g**2 - 4*g + 1240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 9*o. Let z(u) = -2912 + 11*u + 5818 + 42*u - 2907. What is z(a(w))?\nAnswer: 477*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36658 is divided by 131.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 0.145, -21, 4\/3 in descending order.\nAnswer: 4\/3, 1, 0.145, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 28 = 8. Let q = b + -4. Solve 4*w + 3*f = 14, -6 - 10 = -q*w - 3*f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 310 and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111100 + -100000101011?\nAnswer: -100100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 20, 3*r - 151 = 6*k - k. Calculate the highest common divisor of 28 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-14) - 2486\/(-14). Let p = f - 85. Calculate the remainder when p is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-12 + (-19 - -13 - 17)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/3 + 6*1. Let y be (6\/(-16))\/(g\/1012). Let i = 63 + y. Which is the third smallest value? (a) -0.1 (b) -0.2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-33)\/(-60)) - -2. Factor -2\/11*g + 2\/11*g**2 + x*g**3 - 2\/11.\nAnswer: 2*(g - 1)*(g + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21127.\nAnswer: 37, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 55*x + 5361. Give u(-125).\nAnswer: -1514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.482241 to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**2 - h - 2*h**2 + h.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 504.2 + -504. What is the third smallest value in s, 1, -2, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, i: 2, u: 3, y: 1}. Give prob of picking 2 i.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4 = -3*q, -6*q + 4 = -11*q + 4*s. Suppose -5*l + 0*l + 5 = q. Which is smaller: 1\/13 or l?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 22*n = -26 - 52 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.6214 and -0.3?\nAnswer: 1.3214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 1. Suppose -39 + p = -5*y. Factor 2\/3*h**2 + 1\/3*h**y + 0 - 1\/3*h - 2\/3*h**4 + 0*h**3.\nAnswer: h*(h - 1)**3*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12357718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 2*m - 1. Suppose 6*q - 11*q - 2 = -4*x, -q - 4 = x. Let r(b) = b**3 + 5*b - 2. What is x*r(d) + 5*l(d)?\nAnswer: 3*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1018, -5989, -19472, -45721, -88990, -153533, -243604?\nAnswer: -363457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 1746*p - 86. Let f(n) = -438*n + 23. What is 15*f(u) + 4*w(u)?\nAnswer: 414*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 101\/55 + 4\/(-20). Let h = m + -79\/55. Let z = -348\/5 - -70. Which is the second biggest value? (a) z (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*r - 120*r - 11 = 3*v, -5*r + 5*v = -15 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3823162762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 15*y - 17. Let n(h) = 2*h**3 - 12*h**2 - 20*h + 28. Let w = -13 - -20. Let j be n(w). What is i(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100200220102111 - -11?\nAnswer: 1100200220102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -36. Let v = -12 - u. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18788 + -2206?\nAnswer: -1a992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -2. Suppose -5*q + 32 = c*j, -2*q - 3 - 1 = -4*j. Find the second derivative of d - d + q*d**4 - d - 2*d wrt d.\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m. Let d(i) = -3*i**2 + 3*i - 3. Let w(j) = 3*j**2 - 2*j + 2. Suppose 4*t = -17 + 5. Let o(g) = t*w(g) - 2*d(g). Give o(k(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1519, -2971, -4301, -5449, -6355, -6959, -7201?\n\"Answer: 10*z**3 + z**2 - 1525*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40.32 + -37.32. Which is the closest to -0.03? (a) -1\/4 (b) -49\/5 (c) 0.1 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + -2 + -2)**2 + (sqrt(25) - (-5*(1*sqrt(25) + sqrt(25)) + sqrt(25)))\/sqrt(5).\nAnswer: -70*sqrt(5) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.240295 plus 4.78?\nAnswer: 3.539705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 9*k - 6. Let j be p(10). Let q be 12\/((-4)\/2) + 0. Let b = j - q. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a - 1. Let r = 4 - a. Suppose -5*z = -k + 22, r*k = -4*z - 43 + 147. Is 17 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1914 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gs when two letters picked without replacement from {g: 1, s: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012107 rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -912, -4, 9, 3, -8, -2 in descending order.\nAnswer: 9, 3, -2, -4, -8, -912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -676, -667, -658, -649, -640, -631?\nAnswer: -622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -23 + 9. What is the third derivative of 3*u**4 - 21*u**2 - 17*u**2 + 5*u**k + 4*u**2 wrt u?\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 378 or 379?\nAnswer: 379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(55\/(-10)) + 126\/(-33)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 2)\/(-2 - -3)*2. Suppose -p + 2 = 0, 2*p + z = 2*x - 26. Factor -9*d**2 - 96*d**2 + 16 - 35*d**2 - x*d.\nAnswer: -4*(5*d + 2)*(7*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1377608 is divided by 28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-5 - -10) - 5) + 6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**2 - 12*k**2 + 14 + 5*k**2 - 4*k**2 + 5*k**2. Let u(i) = 4*i**2. What is g(u(j))?\nAnswer: -48*j**4 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23118 + -23071.728. What is f rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21155.\nAnswer: 5, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {o: 3, k: 3, c: 2, g: 2, m: 9}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6326841507072 + 2.\nAnswer: 6326841507074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-38)\/(p**16*p)*(p**(-2))**(5\/2) assuming p is positive.\nAnswer: p**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 3*l + 4, 3*l - 24 + 0 = 3*r. Let k be 2\/(r\/(-6)) - -1. Solve -4*n = -20, -k*d = -7*d - 5*n + 34 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**2 + 14*i**2 + 34*i - 43*i + (-1 + 1 - 3*i)*(-i - i + 0*i).\nAnswer: 25*i**2 - 9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/48422322 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from hhhdccchcchccdhdcddh?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 36 = 5*z. Let x = -14.86 - -17.86. Which is the fourth smallest value? (a) -0.4 (b) 4 (c) x (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 631, 200, -235, -674, -1117, -1564, -2015?\nAnswer: -2470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -57540371546?\nAnswer: -57540371545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -14*n + 9. Let p be l(-8). Suppose -w - 3*r + 64 = 0, w - r = -w + p. Let s = -42 + w. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 14.2. Let y = -12.2 + h. Let w = -3.6 - y. Round w to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36170 + -16239. What is the ten thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1340\/7 - 2407\/14. What is the common denominator of d and 40\/99?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.9 + -15.9. What is the second biggest value in 1\/17, -5\/6, n?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 + 4*x - 2. Let g be s(-3). Suppose -43 - 17 = -g*j. Solve 3*f = 4*c + 9, 5*f + 3*c - 2*c = j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**6\/120 + q**5\/12 - q**4\/4 + 2*q**3 - 20*q**2. Let r be c(4). Suppose x - 5*x + r = 4*i, 0 = 4*x - 8. Does 31 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 460 divide 471327500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 8*u - 7. Let w(s) = -19*s + 2*s + 6 + 10*s. Let m be 2\/((-2)\/21*3). Determine m*w(b) - 6*f(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35129, 33770, 32413, 31058, 29705, 28354, 27005?\nAnswer: 25658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 836 (base 9) in base 10?\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1536\/97 + -121409\/7857. Calculate the common denominator of (-2)\/8 + 139\/108 and t.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d**3\/d))\/d*d)\/d**0)\/(d\/d**(-2)*d*d*d\/((d\/(d\/d**(4\/7)))\/d)) assuming d is positive.\nAnswer: d**(-52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-4)*2\/5. Suppose 0 = -301*l + 306*l - 5, -5*o - 7 = -2*l. Let s = 3.8 + -0.8. Which is the second smallest value? (a) s (b) g (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**4 + 0 + 22*k**3 + k - 10*k**3 - 3 + 11*k - 18*k**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 + 8*l + 3. Let s be z(-5). Calculate the greatest common factor of 52 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 32, 49, 72?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/7 (b) -7202469 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 108*a**2 - 13 + 45*a**2 as x*a**2 + y + f*a and give x.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 2379540*h - 283110530580.\nAnswer: -5*(h + 237954)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j. Let x(c) be the first derivative of -5*c**2 - 11. What is x(y(z))?\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1948 and -207.9?\nAnswer: -404989.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 327, 684, 1107, 1632, 2295, 3132, 4179, 5472?\n\"Answer: 6*p**3 - 3*p**2 + 324*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/5)*q*q*q**(-22)*(q**(-15)\/q)**(-23\/2))**(2\/3) assuming q is positive.\nAnswer: q**(1642\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*q = -5*v + 220774227, -275967789 = -5*v - q. Let s be 35593561 + 0 - 6\/2. Let b = v - s. What is b rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, 5, -27, -8, 749\/5, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 16) to base 8\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.9 * -106055\nAnswer: -307559.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3074*n. Let h(u) = -u**2. What is z(h(j))?\nAnswer: -3074*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2071 + 0*x**2 - 1037 - 1034 - 29*x**2.\nAnswer: -29*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*l + 13. Suppose 4\/5 - 3\/5*q**2 - 4\/5*q**3 + 4\/5*q - 1\/5*q**l = 0. What is q?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 220 = -8740. Let b = z + 2684. Round b to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, w: 4, f: 1, j: 3, u: 1}. What is prob of picking 2 w, 1 c, and 1 j?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*p = -2*v + 109, 0 = -p - 1. Suppose 0 = -2*b + v - 13. What is the units digit of -12*((-117)\/6 + b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {b: 1, p: 1, f: 2, w: 2, d: 1, t: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32767651 = 249*i - 32771386 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (1 - 0) + (3 - (-4 + 13)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/(b**1\/b)))\/(b**(2\/5)\/b))\/(((b**7*b)\/b)\/b*b\/(b\/b**(8\/7))))**15 assuming b is positive.\nAnswer: b**(-687\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3828 - 11447 + 3813 - 29*z**2 + 3806.\nAnswer: -29*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 17*p**2 - 16*p**2 + 21514 + 14*p - 21508 - p. Determine r(-10).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2513, 5086, 7659, 10232, 12805?\n\"Answer: 2573*c - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 2 + (-125)\/(-25). Solve g = 6*y - y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2640 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 168*c**2 + 179 with respect to c.\nAnswer: 336*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5640 = 4*k - 4*o - 2076, 2*k - 3*o = 3853. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11693014583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = -4*a. Let i be (-5 + -1)\/(20\/35). Let t = i + 11. Which is greater: a or t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 1, -0.4, 29, 3.\nAnswer: -0.4, 1, 3, 12, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 9915910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-376)\/(-11) - 8\/44. What is the derivative of 15 + 3 - x*q**4 + 10*q**4 wrt q?\nAnswer: -96*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 12:08 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from ooqoooqnooohoo.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/19)*n*(n\/(n*n**8))\/n)\/(n**(3\/2)\/(n*n*n**3*n)) assuming n is positive.\nAnswer: n**(-137\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 11 - 36. Let x(d) = -d**2 + 5*d + 9. Let z be x(5). Let v(o) = -o + 11. Let c be v(7). Solve z*a = c*a + f for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -40*b**7\/3 - b**6\/30 + 281*b**3\/2 + b**2\/2 + 58*b - 5. What is the second derivative of m(o) wrt o?\nAnswer: -11200*o**3 - 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaeaeaaaaaaea. Give prob of sequence ea.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14657*f**5 - 2*f**4 + 5*f**3 - 39171*f**2 - 3.\nAnswer: -879420*f**2 - 48*f + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, r: 11}. Give prob of picking 1 j and 2 r.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -84a41 (base 12) to base 13\nAnswer: -6143b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(40\/((-8)\/2)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 q when three letters picked without replacement from {l: 4, q: 5, o: 8}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/1467922 + 79995419\/3097315420. What is the common denominator of h and 139\/12?\nAnswer: 12660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148178384?\nAnswer: 2, 2767, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39645 is divided by 69.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/9 + 58\/(-261) - (-535)\/(-15).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -11*r**3 - 4*r**2 + 4*r + 18. Let g(y) = 10*y**3 + 5*y**2 - 5*y - 18. Let s(t) = 4*g(t) + 5*k(t). What is the derivative of s(d) wrt d?\nAnswer: -45*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70091, 70053, 70015?\nAnswer: 69977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -48.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3890 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -4 - ((0 - -12) + (-82 - -83))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r. Let j(t) be the second derivative of -t**2 - 4919*t. Calculate 2*b(u) + 2*j(u).\nAnswer: -2*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 198954 = 2*r, -3*c = 2*r - 8*c + 199034. Round r to the nearest 1000.\nAnswer: -99000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.54 - 14.14. Let g be -1 - (-1 - 2\/6). What is the nearest to -0.1 in g, v, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - 6202\/(-266)) + -2?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**3\/7 - 29814*r**2\/7 - 59642*r\/7 + 89454\/7 = 0?\nAnswer: -3, 1, 14909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2742737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1697837 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -35. Let w = -79 + 83. Solve -v - v = w*p - l, -4*v = -4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w*w\/((w**(1\/4)\/w)\/w)*w)*w)\/w*w*w)**5*(w\/(w*(w*w\/(w*w\/(w\/(w\/(w**(-2)\/w)))))\/w)*w)**(2\/7) assuming w is positive.\nAnswer: w**(-345\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 + -64. Let o = -3.717 + -0.283. Sort v, 1\/7, o, 0.\nAnswer: v, o, 0, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -120 + -2. Let x = 23 + f. Calculate the lowest common multiple of 2 and x\/(-5) + 8\/40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 2 = 2*o. Let k = -40 + 42. Suppose -20 = -k*u - 14. What is the lowest common multiple of u and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 112*t + 76*t - 189*t + 55*t - 1. Let u(o) = 7*o. What is u(s(j))?\nAnswer: 378*j - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1087*c - 1093*c - 1111*c + 3295*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*z**2 + 2076*z + 376.\nAnswer: 4*(z + 47)*(11*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*k = -16, 2*z - 5*k = -0 + 3. Suppose -5*v = -q + 52, -2*v - 3*v - 64 = 3*q. Let l = -7 - v. Solve 4*m - 3 = 3*a, l + 0 = -z*a + 4*m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1690299.\nAnswer: 3, 13, 14447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - k + 5*k - 168 = 0, -5*q + 4*k = -165. Suppose 141 = -q*t + 30. Sort -17, t, -2, -1 in descending order.\nAnswer: -1, -2, t, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -688.2 - -688. Which is the biggest value? (a) -122 (b) -5 (c) 1\/6 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*g + 4*v = -28, 5*v = -3*g - 19. Suppose 0*c + 24 = g*c. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1725 - 1722 - 157*k + 15*k.\nAnswer: -142*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -765 + 2024. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -146*z**2 + 7004*z + 192.\nAnswer: -2*(z - 48)*(73*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 28?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*m - 9*m + 9. Let n(y) = 9*y**2 - 3*y - 8*y + y**3 - 4 + 4. What is the tens digit of n(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = t + 392, 2*m = -m - 3*t + 408. What is the greatest common divisor of 33 and m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4299 (base 14) to base 3\nAnswer: -120210001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1741, -1745, -1747, -1747, -1745, -1741?\nAnswer: -1735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z + 4*c + 192, -4*c = -4*z + 376. Find the third derivative of -93*k**2 + k**5 + 221*k**2 - z*k**2 wrt k.\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -6 + -1 + -3 + 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 693*n**2 - 2*n**4 - 205*n**3 - 2*n**2 + 128*n**2 - 944*n + 6*n**4 + 188.\nAnswer: (n - 47)*(n - 2)**2*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by 58?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15664714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 2*l + 24 = 0, 16*l + 32 = -5*h + 19*l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjbdcbdjbbdbbbbc. What is prob of picking 1 d, 1 b, and 1 c?\nAnswer: 27\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 211222 (base 3) in base 14?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.29 - -0.01. Let d = 2.9 - -1.1. Let q = -157 + 1097\/7. Which is the third biggest value? (a) f (b) d (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -0*y + y - 7685, 0 = -4*p - 2*y + 6142. Let k = -865 + p. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 63\/5, -0.5, -26, -5\/14, -3\/4, -12?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -451 - -452.3463. Let q = 0.0133 - b. Round q to 2 decimal places.\nAnswer: -1.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*n + 8 = 0. Suppose -4*a = -6*t + n*t - 104, 3*a - t - 82 = 0. Is a a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1423 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26396*p**2 + 53942.\nAnswer: 52792*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 286 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 9:49 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/2 (b) 302\/3 (c) -0.2 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sab when three letters picked without replacement from bsscsaa.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 113 and 73454068?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*b - 36 = 0. Let f(p) = p**2 - 8*p - 5. Let v be f(b). Suppose -i + 80 = 5*c + v*i, -4*c + 2*i = -58. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 15 = 78*i - 73*i, 3*i - 38 = -4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 541, 2122, 4763, 8470, 13249, 19106, 26047?\n\"Answer: n**3 + 524*n**2 + 2*n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 + 22\/33 + (-2)\/(-6). Let k be 34\/35 + -1 - c\/14. What is the third biggest value in k, 3\/2, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -299*a**4*u**2 - 2*a**4 - 2*a**3 + 19*a**2*u + 2*a*u**2 - 1 wrt a.\nAnswer: -7176*a*u**2 - 48*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 672*o**2 + 3*o + 0*o - 7*o + 165*o**2 + 8*o + 1.\nAnswer: 837*o**2 + 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005693782 to seven decimal places.\nAnswer: -0.0000569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 2:38 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 94.3 and -25236?\nAnswer: -2379754.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 657 = 2*l - 1205, 0 = -4*x + 16. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157219*m**2 - 2 + 2 - 157231*m**2 - 5*m + 5*m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -28530?\nAnswer: 1\/28530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5663616 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2742165 divided by -1.\nAnswer: 2742165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 13\/(-7))\/(2236\/(-156) + 15). Factor -12\/7*d - u - 3\/7*d**2.\nAnswer: -3*(d + 1)*(d + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/760338 and -29\/2574.\nAnswer: 108728334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, m: 1, r: 2, b: 1, o: 2, z: 2}. What is prob of sequence os?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 127 - 380\/3. Let h(k) be the third derivative of 2*k**2 - j*k**3 + 0*k - 1\/12*k**4 + 0. Let z(i) = 3*i + 3. What is 4*h(c) + 3*z(c)?\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -n - 33, 6*n - 3*n + 99 = z. Let r(j) = -j**3 - 5*j**2 + 3*j - 5. Let p be r(-5). Let f = p - n. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.090239 kilograms in grams?\nAnswer: 90.239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/k**1*k)\/k)**34)**(-26)\/((k**(-1\/17)\/k)\/k**2*k**6\/(k**(-4)\/k)) assuming k is positive.\nAnswer: k**(-15163\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.04 - -0.04. Let y = -250 + 249.5. Sort n, 5, y, -3.\nAnswer: -3, n, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2250960 divided by -24\nAnswer: -93790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1878562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 7*b - 1365 = 0. Let f = 637 + -464. Let h = f - b. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*q - 2*q - 368 = 0, n - 82 = -4*q. Is n a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 292 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**5 - 6*u**5 - 2*u**5 + (1 + u - 1)*(-90*u**3 + 90*u**3 - 348*u**4).\nAnswer: -355*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5 - 3. Let g be 18\/12 + (-2)\/4. Suppose 4*c = -g + 13. Solve p = -2*u + 1, u - c*p + f = -6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -1494\nAnswer: -1\/747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 557*q**6\/60 - 795*q**3\/2 + 2234*q**2. Find the first derivative of j(m) wrt m.\nAnswer: 3342*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -1 - (-12)\/(-12)) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -342350 - -11?\nAnswer: -342336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(2\/3)*u))**(-2\/47)*u**(-4)*u**(3\/7)*u assuming u is positive.\nAnswer: u**(-2510\/987)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -0.1, -0.5, -0.4, 1, -0.0908?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 1513*p**2\/2 + 1046. Let h(o) = o. What is k(h(m))?\nAnswer: 1513*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101100000 (base 2) to base 8.\nAnswer: -3540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = k - 0*k. Sort k, 0, -3\/5 in descending order.\nAnswer: k, 0, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -19, -2 in increasing order.\nAnswer: -19, -2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 658 = 5*t, 13*t - x - 266 = 11*t. What is the lowest common multiple of 180 and t?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001110010010 (base 2) to base 4.\nAnswer: -2032102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a**2 + 3*a + 10. Let v(x) = -4*x**2 + 3*x + 10. Let z(j) = 5*k(j) - 4*v(j). Is 3 a factor of z(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 3:13 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3169990.\nAnswer: 2, 5, 17, 29, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, i: 1, o: 6, x: 3, f: 1}. Give prob of sequence fxi.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a**2 + 1. Let l be u(1). Let t be (-1 - 1)\/((-2)\/l). Suppose 37 = 3*f - t*v, 5*f - 4 = 3*v + 47. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**2*m**3 - 572*l**2 - 875*l*m**3 + 2*m**3 wrt l?\nAnswer: 4*m**3 - 1144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**3 - 199*o**2 + 259*o + 63. Calculate b(65).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 24 = -p + 9, -9 = -4*z + 5*p. What is the smallest common multiple of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + 0*r**2 - 4*r**2)*(275*r**2 + 765*r**2 + 151*r**2).\nAnswer: -2382*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*w - w = 110, 136 = 4*p + 4*w. Suppose -1 = -3*d + 5*y + 21, -d = -3*y - 6. Let l = p - d. List the prime factors of l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 305.8984l to millilitres.\nAnswer: 305898.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 53 (c) 0.3 (d) 0.4 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -4*w**2 - 1160*w = 0.\nAnswer: -290, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1254*r - 403*r - 522*r - 332*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - g + 2, g - 4 = j - g. Let x = 52 + -50. Solve x*h - h - 1 = j for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*z - 3*z + 10036096 = 10034328 for z.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2671.5089 minus -0.07?\nAnswer: -2671.4389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 7 = 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + 3 - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.7, -1\/3, -4, 109?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 207*q**5 - 1461*q**4\/7 - 1437*q**3\/7 + 1461*q**2\/7 - 12*q\/7 = 0.\nAnswer: -1, 0, 4\/483, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78.9622 - 14.8092. Let b = y - 0.153. Let h = b + -60. What is the nearest to 2\/3 in -1, h, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 12*m**2 + 2*m - 25. Let i be f(-8). Suppose -3*r = l - i, -5*l + 406 - 41 = 5*r. List the prime factors of r.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*t = 3*t - 10, -4*n - 5*t = -28. Suppose -m + 3*v = n*m - 72, -3*m + 5*v = -78. What is the highest common divisor of m and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41 - 51) + (12 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*f + 30*f = 60*f - 17*f + 1674 for f.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 386*y - 10 = -383*y, 4*y = -3*r - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 17 = 3*l. Let m be l\/14 - (-316)\/28. Suppose 0 = -m*i + 6*i + 25. Solve 40 = 3*s - 0*v - i*v, -4*v = 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -146 + 147.075. Round d to 2 decimal places.\nAnswer: 1.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1911 + 1908. Let r = -147 - -152. Is r at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -272.239 and 0.07.\nAnswer: -19.05673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-3) - (-3 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**11*c**(3\/7))**(28\/9) assuming c is positive.\nAnswer: c**(116\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 5 - 8*n + 11.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-2 + 0 - (-17 + 5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -497*w + 2452. Does 36 divide z(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -153 + 1391\/9. Let l = -3\/3463 + 34657\/31167. Factor 2\/9*q**5 + 0 - y*q**2 + 2*q**3 + 4\/9*q - l*q**4.\nAnswer: 2*q*(q - 2)*(q - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18370 is divided by 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z - 24. Determine k(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 177.875581569 + -2?\nAnswer: 175.875581569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -13*t + 5*t - 12 + 14 + 7*t. Let l(d) = 3. What is -3*b(o) + 2*l(o)?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 405*b**4 + 57000*b**3 + 98315*b**2 + 44500*b + 2780 = 0.\nAnswer: -139, -1, -2\/3, -2\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 2:22 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -45.7 and -9.\nAnswer: 411.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -8. Let f(n) = 2*n**2 + 6*n**2 + 6*n + j - 7*n**2. What is f(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 3647120.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 926367809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -0.03011, 0 in ascending order.\nAnswer: -0.03011, 0, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 5*m + 160, -4*m + 9*m - 20 = 0. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.68 and -8447.7?\nAnswer: -5744.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 236.301 to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 1 + -7 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 17*f**2 + 18*f + 3. Let q be v(18). Solve 0 = 2*t - q*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 - 35. Let z be 3 + (0 + 0 + 0 - t). Let w = 8 + -7.7. What is the closest to 1 in z, -2\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130 a factor of 35807440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -84004689\/26 - -327115043503\/101244. Let b = c - -2\/1947. Calculate the common denominator of b and -11\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5)*g**(-2\/15))\/(g**2\/g)**(1\/16) assuming g is positive.\nAnswer: g**(-1247\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/((6\/8)\/(-8 + 6)). Find the second derivative of -5*h - 3*h**2 + 2*h**2 + 2*h + g*h**2 wrt h.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.26, 1\/6, 4?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 0 + 0)*(1 - 7 + 4) + 1 + s**2 - 1 - 589*s**2 - 591*s**2 + 39*s + 1178*s**2.\nAnswer: s**2 + 39*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f*j**3 - 479*f*j + 46379*f - j**3 wrt j?\nAnswer: 3*f*j**2 - 479*f - 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 1. Let b(r) = 12*r + 14. Let x = 220 + -216. Suppose -3 = -3*l + x*l, -f - l - 5 = 0. Let d = 88 + -60. What is d*v(s) + f*b(s)?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*c + 579*c + 408*c = 9308 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-16)\/i**(-4\/5))**(-6) assuming i is positive.\nAnswer: i**(456\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 15, o: 3}. What is prob of picking 2 u?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02490880027 rounded to five decimal places?\nAnswer: 0.02491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -590830 times -8?\nAnswer: 4726640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43469885 or 43469884?\nAnswer: 43469885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 1517*a**4\/3 - 286705*a**3\/6 + 1140658*a**2 - 3333005*a\/6 - 4418\/3 = 0.\nAnswer: -4\/1517, 1\/2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 + 33*m + 3. Let i be d(-11). Suppose 2*h - i*s + 1 - 41 = 0, -109 = -5*h + 3*s. Calculate the remainder when 218 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -3*g, 4*g - 2 = -2*n. Suppose 2*z - n = 3. Does 9 divide z*(1 - (-129)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*z**2 + 13*z**2 + 2*z**3 + 3*z**3 + 14*z**2 + 2*z + 5*z**2 - 2*z**4 - 13 to the form t + b*z + q*z**3 + j*z**4 + w*z**2 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 12 + b**3 + 11 - 4*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 185 - 152 = 5*n, 4*s - 21 = -n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 0, 40*o + 26*o = -x - 48*o - 48*o + 45*o + 9 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180 and 154014?\nAnswer: 4620420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*r + 4*r = -26, -39 = -3*q + 3*r. What is the second derivative of 0*c - 2*c - q*c**4 + 8*c + 16*c**4 wrt c?\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 75617 and 75616 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -388.024 * -26\nAnswer: 10088.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 19*v + 10. Let c(h) = -13*h - 7. Suppose -22*s + 83 + 37 + 34 = 0. Give s*c(k) + 5*l(k).\nAnswer: 4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -3246293.\nAnswer: -3246292.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 14551*c + 305848. Determine o(-21).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yissyyssymsssyssiyy. Give prob of sequence ssy.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 21*q**2. Let h(z) = 7*z - 2. Let c(i) = 155*i - 40. Let d(x) = c(x) - 20*h(x). Calculate v(d(k)).\nAnswer: 4725*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/(-3*(-4)\/(-12)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 140 = -7*x. Let d(r) = -r**3 - 5*r**2 + 10*r - 25. Let c be d(-7). What is the tens digit of -6*(x\/c - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -1\/36*m**6 + 0*m + 1\/9*m**3 - 1\/15*m**5 + 1\/12*m**2 + 0*m**4 + 6. Find c, given that n(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86947.1 take away -1513?\nAnswer: -85434.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 3:39 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*p + 3*m, -5*p = -112*m - 275 + 26 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11034\/7 + -1579. Let p = t + 55\/28. Which is the closest to -2\/3? (a) -1\/7 (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2*j = 4. Let l be (j\/4)\/((-5)\/(-30)). Let c = l + 11. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1116*g**3 + 30*g**2 + 37*g.\nAnswer: 6696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -1800\nAnswer: 7\/1800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3147, -6298, -9451, -12606, -15763, -18922?\nAnswer: -22083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a century in years?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -2*t**3\/15 + 40*t**2 - 4000*t + 1061. What is l in g(l) = 0?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 1)*(-9 + 17). Let h be (-858)\/27 - i\/(-36). Let m = h - -55. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*m**3 + 2*m**2 + 6*m - 21.\nAnswer: 42*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 3. Let o(f) = -13*f + 14. Calculate 3*o(l) + 12*p(l).\nAnswer: -27*l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 4 = 5*c. Is c != -1\/182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-15)*((-6)\/45)\/((-648)\/900)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*r - 141*r - 7 + 9 + 0 + 0*r - 3*r.\nAnswer: 11*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14402 and 660976.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*f**2 - 82*f**2 + 114*f**2 - 170*f**2 - 203*f**2.\nAnswer: -408*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 + 603*v - 1504*v + 901*v.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/2775 + 278\/(-6400) and -79\/200.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**4\/24 + p**3\/3 - 2*p**2 - 105. Give w(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11\/4, 2, 13, -0.4?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**2 + 31*g + 13. Let t = 10 + 14. Calculate the remainder when y(8) is divided by t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6*-1)\/((-2)\/16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**2\/3 + 8*b\/3 - 640\/3 = 0.\nAnswer: -20, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*z + 24 = 0, 2*c + z + 3*z = -10. Solve 0 = -c*a + 5*s + 19, -a + 4*s + 14 = 2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 u, and 1 y when three letters picked without replacement from yayoaxuog?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - 3*g**2 - g**2)*(-1 + 1 - g**3) - 434 + 21*g**5 + 434 + (g**3 + 2*g**3 - 2*g**3)*(1 - 1 + g**2) + (4 - 4 - g**3)*(3*g**2 - 3*g**2 - g**2).\nAnswer: 25*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = y - 21. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 7665 + 633 = 1536. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 0. Let d = -2472020 - -2472012.99999928. Let s = d - y. What is s rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 0, 5*z - 13 = 2*a + 32. Which is smaller: z or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75 + 78. Suppose r*w - 10 = -2*w. Suppose -2*x - 3*m = -13, -6 = w*x + 2*m - 16. Solve -3*g - 2*j + 5 = x*j, 0 = 5*g - 3*j + 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0516 - -0.5516. What is the closest to -1\/2 in -3, -13, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -1178*r + 18844. What is w(16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2 - 10. Suppose -3*t + 1 = -2*c + 2*t, x*c + t - 31 = 0. Which is greater: c or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -644*w + 1607*w + 617*w.\nAnswer: 1580*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s + 3*s + 3*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10503*u - 10509*u + 24 = 0. Solve u*o + 20 = -16*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1*(-559 + -6)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16269*a - 56*a**4 - 38 - 16269*a with respect to a.\nAnswer: -224*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -685, -578, -481, -400, -341, -310, -313?\nAnswer: -356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and 195.\nAnswer: 2730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*s**5 + 34*s**3 + 13*s**2 wrt s.\nAnswer: 180*s**2 + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 4*u + 1. Let n be r(-4). Let c(h) = -939999*h**3 - h**2 + h - 1. Let t be c(n). Round t to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -155 - -1044. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1915655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1)**(2\/17))**(-2\/69)\/((w**(-1\/7)*w**(-2\/7)*w)\/((w**(-2\/11)\/w)\/w*w*w**(-2\/9)*w)) assuming w is positive.\nAnswer: w**(-265240\/270963)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -3, 5, 0.247, 4\/15, -29?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1535, 1996, 2463, 2936, 3415?\nAnswer: 3900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30474*m**2*p**4 - 163*m**2*p**3 - 1842768*m**2*p**2 - 8*m**2 wrt p?\nAnswer: -731376*m**2*p - 978*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76 - 4. Let w = v - -118. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g**2 + 2*g + 8. Let b(q) = -3*q**2 + 3*q + 8. Let v(h) = -6*b(h) + 5*o(h). Factor v(s).\nAnswer: -2*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 - -12031?\nAnswer: 12113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7467, -7431, -7395, -7359, -7323, -7287?\nAnswer: -7251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21.39 + -21. Let d = h + -0.388. Let k = 0.0020162 - d. What is k rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -4082335.\nAnswer: 1\/816467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033333 rounded to the nearest 10000?\nAnswer: 1030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1299, 1640, 1981, 2322?\nAnswer: 2663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28.1792037 + -28.182. What is a rounded to 5 dps?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*q - 15 = 0. Suppose 0 = -3*g + 9, -2*d + 0 + 7 = g. Solve 2*c + d*c = -2*r, -2*r + c = q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*((-1)\/9 + 450\/(-324)). Let y = -1.048 + 0.048. Which is the second biggest value? (a) y (b) p (c) -9\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiikokki. Give prob of sequence ki.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168480*-0.36.\nAnswer: -60652.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(68) + 0)**2 + 2).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(432) - sqrt(432))*-1 + -2*(sqrt(432) + -1))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 138 + -63. What is the remainder when p is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -211, -6 in increasing order.\nAnswer: -211, -6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1454352 (base 6) to base 8\nAnswer: -246374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 424 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 48288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 11. Let z = 10.85 - n. Is z > -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8.17 in 1\/8, 0.5, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 11 = 4*w, 9*h + 93 = 14*h + w. Suppose 0 = -0*t + 3*t. Suppose -6*z + 8*z - 184 = t. What is the remainder when z is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62105 is divided by 15521?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(17) + 2*sqrt(153))*6)**2.\nAnswer: 2016*sqrt(17) + 30564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/8)\/(5*(-12)\/40). Let f = -246\/5 - -3208\/65. Which is the nearest to -0.1? (a) -13 (b) r (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 252 - 237.3. Let a = o - -0.3. Let q = a - 14.886. What is q rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20430 divided by -5.\nAnswer: 4086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/(-104))\/((-4)\/32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((780\/35)\/(-26))\/((-140)\/(-735))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q - 2. Let t = 19 + -13. Let a(c) = -13*c + 4. Let d(x) = t*a(x) + 11*p(x). Suppose -2*s = 3*s + j - 26, -j = -4*s + 19. Determine d(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/(-70))\/(171\/(-798)))\/((-1)\/15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32152831\/5 + -6454485. Let h = w + 23807. Let d = h + 111. What is the common denominator of d and -37\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 15 = -3*u - 2, 0 = 3*l + 3. Let f(a) = 2 + u - 54*a + 21*a**3 + 54*a. Let n(w) = -32*w**3 - 8. Calculate 8*f(v) + 5*n(v).\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*0\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.0078 rounded to 1 dp?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 970, 516.\nAnswer: 0, 3, 516, 970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 - (-15 - -14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8135411 in -1\/2, 2, -8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 4*z - 101, -4*z = -j - 0*j + 25. Let n = j - 24. Let v be n + 33 + (2 - 2). Calculate the greatest common factor of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 660\/(-12)*8\/(-40)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 21\/28 + (-2362)\/(-8) + 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 2)*(-8475 + 142*l**2 + 232*l**2 + 8482) in the form k + t*l**2 + s*l and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1.69 times -1\nAnswer: 1.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzumkzfzfzzzfzkfz. What is prob of sequence zf?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 + s. Let c = 28 + -27. What is v(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s**3\/11 - 60*s**2\/11 + 106*s\/11 + 30\/11 = 0. What is s?\nAnswer: -5, -1\/4, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -2) + -37 + 18 + 6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(3 + (-64)\/20). Suppose -2*d = -5*d + 3*s, 0 = b*d + 5*s - 30. Calculate the least common multiple of 252 and d.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 5*a**2 + 5*a - 2. Let w be q(-6). Suppose 0*p - w = -4*p. Let k = 91\/3 + -30. Is p at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001101101 (base 2) to base 3\nAnswer: -212000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - -10?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*j + 17, -4*u + 3*j = 10 - 39. Let w = 29.2 - 29. Let r = -0.2 + w. Which is the second biggest value? (a) 2 (b) u (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -20. Solve v*q - 5 = 5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 688, 1305, 1922, 2539, 3156, 3773?\n\"Answer: 617*i + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 38.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 56*s**2 + 241*s + 123. Calculate d(-60).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 163095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 262\/3 - 1\/3. Let q = -84 + g. Suppose -25*t + 24*t + q = 0. Sort -2\/15, 4, t in descending order.\nAnswer: 4, t, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 - (0 + -1 + 10\/5). Is (-1)\/(3\/x) + 795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8724 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -6.17, 1\/4, 2\/7065, -2\/9 in decreasing order.\nAnswer: 17, 1\/4, 2\/7065, -2\/9, -6.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 161 + -64. What are the prime factors of u?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238 = 27*m - 5*k, 115*m - 57*m = 54*m + 4*k - 32 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20275, -20389, -20587, -20875, -21259, -21745, -22339, -23047?\nAnswer: -23875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 4*g - 5*g)*(g - 3*g + 0*g)*(-9*g + 16*g + 9*g)*(-52 + 52 + 8*g).\nAnswer: 256*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 21 + 17 - 35 + 9*f + f**2. Let u = -15 + 9. Determine m(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**5\/6 - 29*t**4 - 1058*t**3\/3 + 2349*t**2 + 54945*t\/2 = 0.\nAnswer: -11, -9, 0, 9, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 8:24 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033044 take away 782?\nAnswer: -781.966956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -746151*v**3\/4 - 15*v**2\/2 = 0. Calculate v.\nAnswer: -10\/248717, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) -2\/13 (c) -1\/11 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 3*f - 6*c + 3*c, -2*c = 4*f - 44. Suppose 14 = 3*u - f. Suppose 0 = -3*b + u*b - 162. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 76 = 3*v, -3*k - 12 - 13 = -28 + 9 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 164479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 4:01 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 997667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*(sqrt(2) + sqrt(242) + -1 + sqrt(2)) + -2).\nAnswer: -35 + 325*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -72.\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w - 10 + 10 - 2*w**3 + (-3*w + 9*w - 9*w - 4)*(w - w - w**2 + (2*w - 1 + 1)*(-5*w + w + 2*w)).\nAnswer: 13*w**3 + 20*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 90*d**3 + 3*d**2 - 2*d - 3. Let l be c(2). Let x = 1215 - l. Does 35 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34.5 - 34.4. What is the second biggest value in -0.3, f, 1, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 - 5*i + 2. Let c be l(3). Is 11 a factor of (55\/(-2))\/c*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 1.4 (c) -181 (d) 915 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b - 18*b + 2 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.11 + 0.61. Let m = 0.1 + 0. What is the second smallest value in m, n, -2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/1258314 and 51\/2306909.\nAnswer: 13841454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g + 1. Let l(u) = u**2 + 4*u + 7. Let p be l(-2). Let t(c) = -2*c + 4. Determine p*d(b) - t(b).\nAnswer: 5*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4210, -4208, -4206, -4204, -4202?\nAnswer: -4200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, t: 3, o: 8, j: 2}. What is prob of picking 4 o?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1359897 and 37004?\nAnswer: 5439588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + sqrt(180))*4 + 3.\nAnswer: -48*sqrt(5) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*t + 13*t - 3*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -9*v - 6. Let i = 14 - 26. Let d be x(i). Suppose -d = -5*b + 18. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 599*-1.0575.\nAnswer: -633.4425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8991 - -8990.9999989888. What is n rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1211*c**2 - 9451185*c**5 + 9451180*c**5 - c**3 + c**3 - 63*c**4 wrt c?\nAnswer: -300*c**2 - 1512*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 4*y = 5, s - 2*y = -0*s - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -2.313479, 5 in descending order.\nAnswer: 5, -2.313479, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 8*d = 48. Suppose 15 = 3*n + 3*q - 6, -d*n + 3*q = -21. Let m(v) = -n + 5 + 8 - 3 - 2*v. Give m(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -9*o + 26. Let x be d(4). What is the units digit of 299 + 3*(x\/15)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35.038 - -0.038. Let c = -34.9 - t. What is the nearest to 1 in c, 3, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84\/12*130\/(-91).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/24 and (0 + 1)\/(-10)*(-4020)\/216?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1139, 2165, 3185, 4199, 5207, 6209, 7205?\n\"Answer: -3*x**2 + 1035*x + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (27\/2)\/(7*3\/(-294)). Let t = p - -196. Solve -9 = -3*n, -3*f - 4*n + t = 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2490423252?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/4 - 742219*s**2\/4 + 4*s + 2968876 = 0. What is s?\nAnswer: -742219, -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.40901073 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 3 + 2)*(3*q + 2*q - 4*q) - 3*q + 5*q + 0*q.\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 5 + 70648*f**2 - 70644*f**2 + 7*f as p + c*f + q*f**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**2\/3 + 18*k - 84 = 0. What is k?\nAnswer: 6, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*p - 4, 2*k + 2*p + 5 = k. Suppose -k*z + 0*z - 24 = 0. Let t(d) = 57*d - 4. Let w be t(z). What is w rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.6 - 2.88. Let h = n + 0.2799872. Round h to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 2*z + 30*z**2.\nAnswer: 30*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36602005.\nAnswer: 5, 11, 677, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.997849l?\nAnswer: 8997.849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4189*r - 75 = -4184*r - 5*j, 8*r + 4*j + 156 = 0 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110222202 (base 3) to base 9.\nAnswer: 13882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1624376300 to the nearest one million.\nAnswer: 1624000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4562099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*((sqrt(99) + sqrt(99) + 3*sqrt(99))*4 + 3*3*sqrt(99)))\/((sqrt(9) - sqrt(1008)\/sqrt(7)) + sqrt(144)*3))**2.\nAnswer: 231275\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 11*c**2 + c + 5. Let l(n) = 91*n + 2461. Let t be l(-27). Let i(h) = 10*h**2 + h + 4. Give t*i(f) - 3*b(f).\nAnswer: 7*f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56817676.642923 + -56817701. Let a = m + 24.35. Round a to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280310659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001349758 rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y - 2*y + y**4 + (0*y**2 + 0*y**2 + 2*y**2)*(-y**2 + 4*y**2 - 4*y**2) + (-y - 2 + 2)*(4*y**3 - 1 + 1).\nAnswer: -5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -3 - 9*n**2 + 0*n**4 - 15*n - 3\/20*n**5 + 7\/2*n**3. Factor r(m).\nAnswer: -3*(m - 2)*(m - 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 1441*z**2 + 240646*z - 178. Determine n(-167).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -325*p + 55. Let b(s) = 12*s - 2. Let q(f) = -4*f - 2. Let z be q(-2). Suppose z*w + 152 = -178. Give w*b(n) - 2*d(n).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p**2 + 36*p - 32. What is k(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 8:58 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 376398261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 2*v - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -15*((-36)\/(-15) - 3). Calculate the highest common factor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2964 is divided by 104?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9762.\nAnswer: 2, 3, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635?\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6033768.3 microseconds in weeks?\nAnswer: 0.00000997646875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/11 in 651, -3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*2*5\/2. Let n = -83.4 - -83. Put n, q, -1\/7 in descending order.\nAnswer: q, -1\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22786.44l to millilitres.\nAnswer: 22786440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -1. Let l(o) be the second derivative of 2*o**3\/3 - o**2 - 33*o - 6. What is l(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.93 + -0.67. Let a = -10 - l. Sort -4, a, -1 in ascending order.\nAnswer: -4, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**3 + 585*i**2 - 17130*i + 117800 = 0 for i.\nAnswer: 10, 31, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2)*(-18 + 12). Suppose 4 = g - t. Suppose 1136 = g*z + 121. What is the highest common divisor of 58 and z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2459 is divided by 51?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -39*i - 34. Let y be m(-11). Let k(z) = 391 - 2*z - 784 + y. Determine k(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*3\/(-4 - -1). Solve 2*s + 3*n = -n - 14, w = s - n + 4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 5. Which is the nearest to q? (a) -4 (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**34*g**23\/g)**(-7))**(-6\/13))**(-6) assuming g is positive.\nAnswer: g**(-14112\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - u = -2*u + 1, -3*u = -3*p - 1309 + 1276 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -23194*l**2 - l + 49. Let y be o(-17). Round y to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2635 + 3 - 20\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x**2 + 5*x - 11. Let s(f) = 3*f**2 - 3*f + 6. Let j(t) = -4*m(t) - 7*s(t). Let i be j(-5). Suppose c = -3*c + i. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8160426727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 14 = 2*y, 3 = 3*r - 6*y + 33 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 5*x + 20, -89*y + 45 = -93*y - 5*x for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swg when three letters picked without replacement from {y: 3, l: 4, g: 2, n: 2, s: 6, w: 1}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 8*m + 8. Let w be q(-8). Let l(x) = x**2 - 8*x + 18. Let d be l(4). Solve d*u = p + 3*u, 0 = 3*p + u + w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100 (base 2) to base 11.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1190\/103 + -96995\/9064. Find the common denominator of (2 - 9) + (-14)\/16 and s.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -3. Let f = d + 1. Let i = 0.051 + 0.049. Which is the nearest to i? (a) 4\/5 (b) f (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/7)\/t)**(-3\/7)\/(t**(-5)\/((t\/t**7)\/t)))\/((t\/(t\/t**4)*t*t\/((t*(t**(-2\/5)\/t)\/t)\/t))\/(t**(-7)\/((t\/t**3)\/t))) assuming t is positive.\nAnswer: t**(-3393\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - -23. Suppose -s = -8*s + l. Let i(o) be the third derivative of o**4\/8 - 3*o**3\/2 - o**2. Give i(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10332 - 1?\nAnswer: -10333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + v + 5 + 8, x - 53*v = 56 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011314 rounded to 5 dps?\nAnswer: 0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -10*t - 3. Let h be d(6). Let n = h - -69. Find the third derivative of 3*f**n + 13*f**2 - 6678*f**4 + 6678*f**4 wrt f.\nAnswer: 360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/174 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 260593, 1042379, 2345355, 4169521?\nAnswer: 6514877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 13*d = -2, -27 = 3*x + 8*d - 12*d - 19*d + 11 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 9 - 13 + 29*y - 37*y.\nAnswer: -8*y - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by -27533?\nAnswer: 36\/27533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26192*y**4 + 336*y**3 - 183591261*y**2 wrt y.\nAnswer: -628608*y + 2016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751422158?\nAnswer: 2, 7853, 47843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uahse. What is prob of sequence sah?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59*m**2*o**4 - 220*m**2*o**2 - o**6 wrt o.\nAnswer: -1416*m**2*o - 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -227*o**3 - 2*o**2 - 4*o + 13. Let h be c(-4). Let x = 5094 + -40673\/8. Calculate the common denominator of (6\/20)\/(14*(-30)\/h) and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 14*f + 5. What is the tens digit of g(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-6) + 34\/6. Let q be -3 - 0 - (2 - -163). Let z be (-114)\/q - 6\/14. Sort k, 0.5, z in increasing order.\nAnswer: z, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1031571?\nAnswer: 3, 61, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 315405*-0.6\nAnswer: -189243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/62916 and -151\/168.\nAnswer: 125832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 5*f**2 + 7*f - 8. Let i be 2\/10 + 198\/10. Suppose -5*r + i = 0, -4*p + 3*r = r - 16. Give t(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**3 + 232*j - 28 - 240*j + 28.\nAnswer: 4*j**3 - 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a centimeter in micrometers?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/19))\/((s**7\/s)\/s)*s**(-2\/19)*s**(2\/13) assuming s is positive.\nAnswer: s**(-989\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 373*y - 17?\nAnswer: 373","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -37b3b6 (base 12) in base 8?\nAnswer: -3363572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-4\/11)\/(h*h**(-11\/3)\/h) assuming h is positive.\nAnswer: h**(109\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -9361*w - 28084. Determine m(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**2 + 7320*a - 1347840 = 0. Calculate a.\nAnswer: 216, 1248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.076554 rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 10 - 1 = 0. Suppose -5*l + 10 = 0, -2*n + 10 = -l - 2*l. Let g(h) = -h**2 + 9*h + 3. Let u be g(n). Which is smaller: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i**2 - 1. Let a(q) = 4*q**2 + 9*q + 4. Let l be a(-2). What is o(l)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6554 less than 6556?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(0*h**3 - 3*h**3 + 4*h**3) + 2*h**3 - 4*h**2 + 11*h**2 - 3*h**2 + (-5*h - h + 4*h)*(0*h**2 - h**2 - h**2) + 0*h - h**3 + 0*h.\nAnswer: 3*h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 209 and 242.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -82*335*69\/(-115). Suppose 4*x - 23*j = -21*j + 21982, 0 = -3*x + 3*j + o. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 4:27 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.08 + 0.98. What is the smallest value in o, 5, 2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36800000 rounded to the nearest one million?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/147 - -1769\/735. What is the closest to g in 0, -2\/5, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 8*m + 4. Let t(w) = 16*w + 7. Give 7*s(x) - 4*t(x).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 18 = -6, 3*k = -4*q + 81348. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 440 and 6644.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2 - f - 1. Let o be y(2). Solve -o*v - 40 = -4*p, -2*v + 4*p - 6 = 22 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4*m - 46, o + 15 - 1 = 4*m. Let t be o\/9*6\/(-4). Let u = 14 - 85\/6. Which is the third biggest value? (a) 3 (b) t (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124669 - 124669 + 12*p**2 + 39*p**2.\nAnswer: 51*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppxppxpxpxaaxpx. Give prob of sequence paa.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-2)*(-2)\/((-12)\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + 259 + -247?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -75*v + 132*v - 1083 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 2. Suppose -2*w - 20 = -z. Let g be (2\/16)\/((-2)\/w). Which is the closest to 1? (a) g (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -13*k - 102. Let g be x(-8). Let h be g\/(-9) + 512\/117 + -4. Which is the second smallest value? (a) 0.09 (b) h (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/14 + (-46)\/(-14). Suppose -3*q = -6*q + 9, -o + w*q - 9 = 0. Suppose 4*k + 0*k - 96 = o. Calculate the remainder when k is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/4 - 5502*h - 54995.\nAnswer: -(h + 10)*(h + 21998)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 6208a02?\nAnswer: 6208a03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(3 - 9) + 21\/(49\/(-7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2. Let s be 13*(-4)\/((-12)\/9). Let r be s\/7 - (-15)\/35. Let u(j) = 0*j + r*j - 3*j. Calculate u(g(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 43632*g**2 + 6625 - 44203*g**2 - 8*g**4 + 11*g**4 wrt g?\nAnswer: 12*g**3 - 1142*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 23. Let m be r(-17). Let n be (2 - -2)\/1*m\/8. Solve -4*o = -2*z + 24, -n*o = -2*z + 6*z - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 20 - 0. Let y = i + -3. What are the prime factors of (-1 - -1)\/y + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 3. Let k be u(-7). Suppose i + 2 = 3*c, c = -i + 4*i - k. Solve c*o - o = 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -20*k + 80. Let x be l(4). Let f(g) be the second derivative of 3*g + x - 1\/30*g**6 - 1\/5*g**5 - 1\/2*g**4 - 2\/3*g**3 - 1\/2*g**2. Solve f(i) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 29 - 8 - 2*j + 10 - 1. Let p be k(12). What is the third derivative of 79*b**6 - 3*b**2 - 93*b**p + 9*b**2 wrt b?\nAnswer: -1680*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 + 2*c + 8. Determine p(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 282 - 3?\nAnswer: 27b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*q = -12, -5*q = -4*r + r + 16. Suppose -r*m - 200 = -6*m. Calculate the remainder when m is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + c)*(-10 - 3 + 2)*(-3 + 6 + 2).\nAnswer: -55*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002498122 rounded to four dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*b**2 + 19*b**2 - 3*b**2)*(-4 + 4 - b**2).\nAnswer: -36*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, r: 8}. Give prob of sequence rr.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 3*h**2 + 4*h + 6. Let t be q(5). Let x = 9 + 10. Calculate the highest common divisor of t and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16.354 and 0.\nAnswer: 16.354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82759?\nAnswer: 82759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**4\/6 - 59*x**3\/6 + 14*x**2 + 38*x. Let c be p(-30). What is the units digit of -1 + 249 - (-6 - c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -299.703294 rounded to 2 decimal places?\nAnswer: -299.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**5\/20 - s**4\/2 + 2*s**3\/3 + 11*s**2\/2 + 15*s. Let r be a(5). Solve -4 = -d - r for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21355 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 0 + 5. Solve -5 = -x*o - 25 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 74 - 1170*o + 78 in the form q*o + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145308.\nAnswer: 2, 3, 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 184*r - 183*r - 5*h, 0 = 2*r + h - 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1584 and 10449240.\nAnswer: 689649840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 (base 11) in base 2?\nAnswer: 10000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12500 is divided by 4158.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - a - 4*a - 6 + 2*a. Let i = -5 + 11. Let w be y(i). Solve 4*k - k + w = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15385 and 1360.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 0*y + 13*y - 7*y + (-9*y - y + y)*(2 + 0 - 1).\nAnswer: -3*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 3*l**3 + 1 + 0 - 3.\nAnswer: 3*l**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54.1 + -9566987566.\nAnswer: -9566987511.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**8\/560 - m**7\/210 - 11*m**6\/600 + 7*m**5\/100 - m**4\/30 - 2*m**3\/15 + 14*m**2 - 1. Suppose t(b) = 0. Calculate b.\nAnswer: -2, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1377 + -476. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*m + 23*m**2 - 156*m**3 - 56*m**3 - 6*m - 615*m**3 + 2*m wrt m?\nAnswer: -4962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 g, and 1 h when three letters picked without replacement from hhrcwhgarrhghhg.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*l**2 + 2945*l - 235070?\nAnswer: -8*l + 2945","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 4*s - 138, -4*d + 5*s + 163 + 87 = 0. Suppose 0 = d*z - 61*z - 8. What is the highest common factor of z and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -410 (base 7) to base 10.\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -5. Let k be (-6)\/i + (-321)\/9. Let u be ((-15)\/k)\/((-6)\/4). Which is the second biggest value? (a) u (b) -5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 8*q + 1. Let n be h(-8). Suppose 4*p - 5*j + n = 5*p, 0 = 2*p - 3*j + 11. Sort p, -3, 5 in descending order.\nAnswer: 5, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -246*d**2*h**3 + 4455*d**2*h*z - 2*d**2 - d*h**2 - 9*h**3*z wrt h?\nAnswer: -1476*d**2 - 54*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 2*d + 2. Suppose y - 16 = -3*y, -4*h + 3*y = 4. Let t be q(h). Put t, -5, -2 in descending order.\nAnswer: t, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/317769 and 50\/82707.\nAnswer: 6037611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1085\/(-155)*3*(-7)\/(-98))\/(1\/74).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3819758, -7639523, -11459288, -15279053?\nAnswer: -19098818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4575139 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13593, 13353, 13113, 12873, 12633?\nAnswer: 12393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1370450470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 505?\nAnswer: -505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/((-20)\/(-5))*3. Let s be 153\/234 + u\/(-6). Let q = -160.6 + 161. What is the smallest value in 0.5, -0.14, s, q?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37215 divided by -2481.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 163 + -159. Which is the smallest value? (a) 6 (b) 3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34*-18.2.\nAnswer: -618.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25893 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dggggqdgzxxgdz. Give prob of sequence dqdz.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from ssdessseeedseiiis.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + sqrt(11)) - sqrt(66)\/sqrt(6)*5) + -5 + (((sqrt(11) - 1*-3*sqrt(11)) + 4*(sqrt(11) + sqrt(44)))*5)**2.\nAnswer: -3*sqrt(11) + 70391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 1653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 88*t**3 - 154?\nAnswer: 264*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 6:39 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 422*j - 243*j**2 - 10 - 150*j**2 - 90*j**2 + 10 wrt j.\nAnswer: -966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 15*l**2 - 1981*l + 7. Calculate t(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 318\/5 - 64. Let w = -92 + 91.5. Which is the nearest to 2\/7? (a) -4 (b) w (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 5*n**2 + 13*n + 7. Let q be t(7). Suppose q*k - 6 = -2*k. Suppose -5*d = 15, k*d + 25 = -2*o + 6*o. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 1\/6, 1, 5, -2\/5, -0.14.\nAnswer: -2\/5, -0.14, 1\/6, 1, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.04, 2, 3, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 36*b**4\/5 + 39*b**3 + 57*b**2 + 12*b - 36\/5 = 0.\nAnswer: -3, -2, -2\/3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -265 + 266. Which is the closest to u? (a) -4\/5 (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3989613 = 3*h + 4*c, -5*c = 49*h - 19402860 - 45760457. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1035\/36)\/(40\/32).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 5*j + 16. Let m be i(8). Determine s, given that 45*s**3 + 5*s + m*s**4 + 25*s**2 + 9*s**5 + 9*s**5 - 8*s**5 - 5*s**4 = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -211300012?\nAnswer: 211300023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13048 - -21275?\nAnswer: 7226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2040331 (base 5) to base 4.\nAnswer: -20100301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 45 - 26. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 take away 0.0223?\nAnswer: -8.0223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2621169.\nAnswer: 3, 227, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.594, -5, 0.2.\nAnswer: -10.594, -5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -6 + 2 - 4 - 22*v. Let z be 0 + 0 - (-9 + 4). Let f be y(z). Round f to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**3 + v**3 + 657*v - 657*v.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjf. What is prob of picking 1 f and 1 j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 11022891.\nAnswer: -11022888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 584 - 380. Let r = 281 - m. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 less than 4789223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000116791 to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 24. Let j(t) = -2*t + 24. Let s(z) = j(z) - v(z). Let c(k) = -13628*k**2. What is c(s(w))?\nAnswer: -13628*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -350*w**3 - 6*w**2 + 6*w + 6. Let q(v) = 349*v**3 + 7*v**2 - 7*v - 7. Determine -6*q(n) - 7*z(n).\nAnswer: 356*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 10 + 7)*(0*y**2 + 2*y**2 - 3*y**2)*(-3 + 1 + 3).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((1 + sqrt(117))**2 - sqrt(26)\/(sqrt(6)\/sqrt(3))).\nAnswer: 5*sqrt(13) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + -0.1. Let u be 87\/435 + (-320)\/100. Sort n, u, 60 in decreasing order.\nAnswer: 60, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*i**5 + 10*i**4 + 25*i**2 + 60877*i wrt i?\nAnswer: -80*i**3 + 120*i**2 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4674, -4672, -4670, -4668, -4666?\n\"Answer: 2*q - 4676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (22\/8 + -2)*(0 + 4). Suppose -30 = 8*b - i*b. Let w(u) = -383337*u - 22. Let r be w(b). Round r to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1071298.\nAnswer: 2, 31, 37, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4025700 rounded to the nearest ten thousand?\nAnswer: -4030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 236 and 1062?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -3*m - 33, 3*s - 174*m = -173*m + 32 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 31. Suppose -z = -u - 4*p - p, 2*p = 2*u - 58. Suppose 2*g - 4 = u. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -198 - -493. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2855, -3, 2\/9 in decreasing order.\nAnswer: 2\/9, -3, -2855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**2 - 8*m + 64. Give q(6).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 2:33 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 130711 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**2 - 4*g**2 - 2*g**2 + 6*g**2 + 9 - 9 + (-7*g + 8*g - 3*g)*(0*g + 2*g + 0*g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22404115.\nAnswer: 5, 233, 19231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2 - 2*q + 11*q + 11*q to o + t*q and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + 0 - sqrt(13)) + -3 - (sqrt(52)\/sqrt(4) + 2))**2.\nAnswer: 10*sqrt(13) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -2*f**7\/7 - 225*f**4\/4 - 1937*f**3\/3 + 2397. What is the third derivative of z(y) wrt y?\nAnswer: -240*y**3 - 1350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-9) - 3212\/(-657). Let n(c) = 7*c**2 - 19*c + 2. Let z(o) = 4*o**2 - 10*o + 1. Calculate x*n(q) - 11*z(q).\nAnswer: -2*q**2 - 4*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h - 3*h - 70 = 0. Suppose -72 + 37 = -h*a. Solve 5*g + 3 + a = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 935 = -5*p + 464 + 490, 1 = -4*p - f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 397629287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2988?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1157 + 2 + 2*(-4 - -3). Let k = j - -622. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 a, and 1 p when three letters picked without replacement from npppabbbbppbbapab.\nAnswer: 63\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/(k*k\/(k\/(k**(2\/7)\/k))))*k**(2\/9))**(-1\/6)\/(k\/(k\/(k**(-3)\/k*k))*k*k*k\/(k**(-1\/2)\/k)*k)**20 assuming k is positive.\nAnswer: k**(-18995\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + 1*(sqrt(66) + sqrt(66)*-1 + sqrt(66)))\/(2*sqrt(128)))\/((sqrt(539) + -4*(sqrt(539) + sqrt(539)*2 - sqrt(539)))*-6).\nAnswer: sqrt(3)\/2352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -11*q**5 - 5*q**4 + 6*q**2 - 6*q - 6. Let z(b) = 45*b**5 + 20*b**4 - 25*b**2 + 25*b + 25. Let x(f) = -25*m(f) - 6*z(f). Let x(h) = 0. Calculate h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 - 48. What is the remainder when 9 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*r - 2942 = 0, -1467 = 9*v - 10*v - 2*r. What are the prime factors of v?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-15\/4)*y*y*y\/(y*y**(9\/5)) assuming y is positive.\nAnswer: y**(-51\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3)*s**(-1\/10)*s)\/(s*s*s*s*s*s*s**(2\/5)*s)**(-25)*(s**(-5\/6)*s*s\/(s\/(s**(-2\/3)\/s*s))*s)**(-2\/41) assuming s is positive.\nAnswer: s**(74979\/410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 787721729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -27007, -108439, -244159, -434167, -678463, -977047?\n\"Answer: -27144*a**2 + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (147\/14)\/(-21)*4\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*b + 9*b - 1. Let o be -5*((-21)\/15 - 8\/(-20)). Put b, o, 4 in ascending order.\nAnswer: b, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 7*t**2 - 6*t - 7. Let x(h) = h + 1. Let n be x(4). Let d be (30\/4)\/n*-4. Let w(q) = 13*q**2 - 11*q - 13. Give d*w(z) + 11*v(z).\nAnswer: -z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**3 - 7*l**2 + 12*l + 10. Let u = -34 + 37. Let m(j) = -2*j**3 + 7*j**2 - 12*j - 11. Let n(g) = u*y(g) + 4*m(g). Does 6 divide n(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.169916913 rounded to 5 dps?\nAnswer: -0.16992","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 20*f**2 - 19*f + 25. Is o(19) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(275) - sqrt(275)*-3)**2 + sqrt(275)*-2*-1)*2.\nAnswer: -26400 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5\/11 - 1942*g**4\/11 - 15438*g**3\/11 - 28874*g**2\/11 + 15440*g\/11 + 30816\/11 = 0. Calculate g.\nAnswer: -963, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**3 - 2*k**2 + 2*k. Let l be g(1). Let r be l - ((-52)\/16)\/(-1). Sort 0.3, 1\/3, r in ascending order.\nAnswer: r, 0.3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 899112?\nAnswer: 2, 3, 37463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1380.2 + 1375.2. Which is the third biggest value? (a) 2 (b) 8\/477 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 3. Let r be g(-8). Let y = 7 + r. Suppose 0 = a - y*a + 6. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 10 - 28 = -b, -h - 3*b = -2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((80\/(-216))\/10)\/((-1)\/(-3))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 589\/7 (b) 3\/131 (c) -2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3247 or -111301?\nAnswer: -111301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14\/53 in -2\/7, -3, -5, -8, 12?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*g**2 - g**2 + 51*g**2.\nAnswer: -101*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003944 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -3*p**8\/2240 - p**5\/12 + 5*p**4\/12 - 2*p. Let j(z) be the third derivative of b(z). Differentiate j(g) wrt g.\nAnswer: -27*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 11:16 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**4 + v**2 + 3. Let p(s) = 105*s**5 - 4*s**4 + 2*s**3 + 7*s**2 + 75*s - 12. Let h(o) = 4*n(o) + p(o). What is the third derivative of h(c) wrt c?\nAnswer: 6300*c**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1697 is divided by 141?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9940 + -9072. What is the highest common factor of 182 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2)**(17\/6)*(d**1)**38 assuming d is positive.\nAnswer: d**(131\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 254 or 1774\/7?\nAnswer: 254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 15*k**2 + 45*k + 27. Calculate h(8).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 11*w - 10. Let m be z(10). Suppose 2*t + 2*u - 2 = m, 0 = -2*t - 2*t - 2*u + 6. Solve -3*q + 3*l = 0, 5*q = -3*l - t + 10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x\/(x*x**(-12)\/x)))**(-2)*((x*x\/(x*x**(-4)))\/x)**9)**31 assuming x is positive.\nAnswer: x**1798","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 1 = 3*h - 15, 0 = v + 2*h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3898, -3899, -3900?\n\"Answer: -g - 3897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 + 25 = 3*h. Suppose h*i = 58*i + 1527. Let j = i + -1080. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157 + 56 + 52 + 2*d + 107*d**3 + 49.\nAnswer: 107*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -503*v = -124*v - 8072700. Is v a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03180101 - 0.0318. What is h rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -65979 and 6.156?\nAnswer: -406166.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.993 - 10.993. What is the fourth biggest value in w, -2\/63, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 + 19 + -18 - 64.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a hour?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40278.4 + 40278. Let l = 4.99 - 5. What is the smallest value in -2\/45, 1, w, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2031 (base 5) to base 11\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-80)*-4 + -1 + 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-185 - -200 - (4 + -4 + 138 + -3)) + 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*y + 15. Let a = -6 + y. Suppose 4 - 20 = -a*d. Solve 3*w + 16 = d*k, -3*k + 7 = -2*w + w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -124b - cc1?\nAnswer: -223c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1017 and 2034.\nAnswer: 2034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**2 - 382602*s + 12198690867 = 0.\nAnswer: 63767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 933.37 years to decades.\nAnswer: 93.337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11202121102200 (base 3) to base 7\nAnswer: 30342120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31317051?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -1.2. Let l = x - 41. Let r = l - -40.20000161. What is r rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60592 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 546, 899, 1252?\nAnswer: 1605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*b - 48*b + 139357 = 3*c, -3*b = -3*c + 139371. What is the thousands digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/12)\/((-6)\/20)*-13*(-90)\/1950?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*p - 190 - 63 = 0, 0 = -2*x - 5*p + 86. Let y = -49 + x. Solve -k + 3*k = -y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 6*w**2 - 8*w - 21. Calculate v(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 133, 0, -34, 2, 3 in descending order.\nAnswer: 133, 3, 2, 0, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22354815?\nAnswer: 3, 5, 7, 212903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 + 6*z - 11. Let v(t) = -2*t**2 - 5*t + 10. What is 5*f(q) + 6*v(q)?\nAnswer: -2*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 6*z + 8. Let d be u(-6). Suppose -d = 3*w - 7*w. List the prime factors of ((-6)\/((-12)\/(-2)))\/(w\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000035448 rounded to six dps?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.6101316 rounded to 0 decimal places?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-16)*(-3 - 1). Suppose 5*y - 56 = -d*p, 26 = 5*y - 2*p - 45. Solve -3*f + y = -z, -2*z = 3*f - 21 + 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 11*c - 7. Let x be i(8). Let b = x - 22. Sort 3, b, -3 in decreasing order.\nAnswer: 3, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -y + 11, 157*q - 29 = 5*y + 158*q for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*1\/(15\/12). Let z(r) be the second derivative of 0*r**y - 1\/15*r**6 + r**2 + r + 0*r**5 + 0 + 0*r**3. Differentiate z(i) wrt i.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 6*w - 5. Let x be q(4). Let p = -2 + x. Suppose 2*f = 2*k + 4, f + 0 + 6 = 5*k. Solve f = -g + p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - y**2 - y + 1. Suppose 35 = -134*m + 169. Let n(v) = -57*v**3 - 18*v**2 - 18*v + 18. What is m*n(k) - 18*u(k)?\nAnswer: -39*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -1070?\nAnswer: 1\/1070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1111 divided by 1196201.\nAnswer: -1111\/1196201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2402925 divided by 161\nAnswer: 14925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 391\/734 - 12\/367. What is the nearest to 0 in 3, g, -6, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -657 divided by 434?\nAnswer: -657\/434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 2522\/1389?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**5\/3 + 92*f**4\/3 - 292*f**3\/3 + 104*f**2\/3 + 290*f\/3 - 196\/3 = 0. What is f?\nAnswer: -49, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a day in hours?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -9*t**3 + 194*t**2 - 97*t + 14. Let s be r(21). Are s and 186 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.46*-101.6.\nAnswer: 249.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-9)\/4*12*6\/(-189)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9*8\/72*46\/2.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 10*o - 6. Let l be a(7). Let v be (-1)\/4 + l\/12. Let d be 2\/5*(9 - -1). Sort d, 0, v.\nAnswer: 0, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9475 divided by 14?\nAnswer: 9475\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 132\/(-18) + (-16)\/(-2). Let i = 17 - 16.6. Which is the closest to -1\/5? (a) n (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*k**2*l - 2*c*k*l + 2*c*l + 128*c + 2*k**2 - 29*k with respect to k.\nAnswer: 2*c*k*l - 2*c*l + 4*k - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5*h**2 - 2*h - 6. Let y be ((-28)\/21)\/(6\/9). Let c be -8 - (2 + (y - 3)). Let j(s) = 4*s**2 + 2*s + 5. What is c*z(x) - 6*j(x)?\nAnswer: x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 939 + -931 + -2 + 2 + -3 + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6*-1)\/(-1 - (-20)\/28). Suppose 73762 + 31028 = h*b. Round b to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*d - 7 = 0, 3 = -4*n + 3*d + 2. Let l be n\/((20\/216)\/(-5)). Does 17 divide 151\/9 - (-12)\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*j - 106*j = -279*j + 101*j + 756 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 11:35 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 2a?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 831*z + 522*z + 901*z - 572*z.\nAnswer: 1682*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 182 = -5*b - 112, -3*o = 30 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75557031 to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**4\/6 - q. Let k(h) = h**3 + 2*h**2 - 2*h - 2. Let s be k(-2). Let b(f) = -2*f - 2*f**s + 3*f - f. Give m(b(v)).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = y - 0. Let j = -2 + y. Let r be (32\/6)\/(j\/(-3)). Solve -5*u + 4 = -r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5651 + -3614. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15720 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20 - -18)*(-1 + 6\/5). Let z = 1 + -5. Which is the second biggest value? (a) -3 (b) z (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2697 and 1653?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 4:43 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 5*q - 36 = 0, -56 = 2*v - 4*q - 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -76, -102, -140?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 284832*o - 6923. Let r(g) = -41*g + 1. Let b(i) = 13846*r(i) + 2*y(i). Let l(z) = 7*z**2. Calculate l(b(k)).\nAnswer: 27387388*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -170? (a) 81 (b) 1013 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 + 13*t + 13. Let p be i(7). Let c be (-1)\/p*2 - 98\/(-6). Let n be (23 - -1)*(-44)\/(-6). Calculate the highest common divisor of c and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**4\/2 + 5*n**3\/2 + 15*n**2 - 10*n - 20 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -233 - 3758568?\nAnswer: -37587a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + w - 1 - 2 + (-4*w + 2*w + 0*w)*(25 + 18 - 27) + (3*w - 4*w - w)*(5 - 3 - 4) + 2*w + 2*w + 2*w.\nAnswer: -21*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8473207691499996943\/1455138 + 5822958160325. Let z = j + 1\/26947. Find the common denominator of 31\/8 and z.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.5, 2\/5, 18?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + j + j)*(0 + 1 - 3)*(-727 + 369 - 477)*(1 - 3 + 5) to y + u*j and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -3*g**5\/20 - 3*g**4\/4 - g**3 + 13*g. Factor u(x).\nAnswer: -3*x*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - c + 112 = -2*c, 0 = 5*s + c - 131. Let q = 49 - 26. Let w = s - q. Solve -w + 2 = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = q - 1, 2*q = -0*f - f + 14. Suppose -3*o = q*o - 24. Solve 3*j - 5*x = -32, o*j + x = -1 - 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*j**4 - 10*j**4 + 3*j**3 - 15*j**4 + j**2 + 3*j**4 - j**2 + (-3*j**2 + 4*j - 4*j)*(5 - j**2 - 5).\nAnswer: 2*j**4 + 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.5 - 10.4. Let l = -2.4 + v. What is the third smallest value in l, -4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -5188 >= -5188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 6*m + 4. Let o be (-10)\/8 - (-9)\/(-12). Let q be 7*o*3\/6. Determine w(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2924370 is divided by 232.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 619533a + -10?\nAnswer: 619532a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 6 + 7)*(0*x - 4*x + 3*x)*(-4*x - x + 4*x) to the form b*x + f*x**2 + y and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 + 89 + -16 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 39 = 11. Suppose -n = -6 + b. List the prime factors of 6\/n + 215\/2.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(4\/5))\/c**(-7))**(-17) assuming c is positive.\nAnswer: c**(-612\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2793 in 2\/9, 2\/3, -0.3, -12, 6\/19?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117, -161, -209, -261, -317?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2224 + -2223.7. Suppose 0 = -5*o + 5, -2*o = -5*z - 4*o + 32. Which is the biggest value? (a) 0.5 (b) 2\/9 (c) x (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 27 + (-4 + 8 - 14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 4*n - 4*n)*(0 + 0 + 2*n) + (6 - 5 - 2)*(3*n**2 - 2*n**2 - 2*n**2) - n**2 - 2*n**2 + n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 + 2*z - 4. Let h(o) = -o - 5. Let a be h(-11). Let f(k) = -4*k + 4*k**2 + 2 - 2 + 7. Give a*f(y) + 11*c(y).\nAnswer: 2*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/40*((-396)\/(-77))\/18.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, h: 8, i: 1, y: 1, s: 3, g: 2}. What is prob of sequence hih?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m + 2*m - 2*m)*(3 - 6 + 1) + 7*m + 11 - 1 - 1 in the form h*m + j and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 368500900 to the power of 1\/3, to the nearest integer?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 56224896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 13*y = r - 6370, 0 = -r - 5. List the prime factors of y.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37534428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2281314+-4\nAnswer: -2281318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2577695209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 16*o - 2. Determine l(-15).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -m + 5*m - 359, -3*m + 580 = -5*g. Let f = g + 50. What is the units digit of (f\/28)\/((-1)\/16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2534 = -2993*i + 2812*i for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 322502?\nAnswer: 322455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89222879 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019721346 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 - 987 + 1259 + 4*a**2 - 4*a**2 + 1093.\nAnswer: -3*a**2 + 1365","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/459945 and 58\/1395.\nAnswer: 14258295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -99ab8 (base 15) to base 12.\nAnswer: -1b679b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3562642, -7125283, -10687924, -14250565, -17813206?\n\"Answer: -3562641*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -156997\/8 - -19631. Calculate the common denominator of q and 3*-1 - 3092\/(-1096).\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0383 - -0.3383. Let o = -0.03 - -0.13. What is the closest to -2\/13 in 1.3, o, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24.0029 - -24. What is y rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160 divided by -40.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -5a86?\nAnswer: -5a89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -643889610 by -78.\nAnswer: 8254995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*s - 6, 33 - 8 = 5*s. Suppose -a = -l + 3*n, -l + 0*l - n = -4. Suppose 8*x - l*x - 24 = 0. Calculate the least common multiple of 3 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 385, 0.4, 5\/9, 0.61, 3, 17 in decreasing order.\nAnswer: 385, 17, 3, 0.61, 5\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4*s**3 + 29316*s**2 - 117212*s + 87900 = 0?\nAnswer: 1, 3, 7325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 1. Suppose 66 = 3*u + 3*h - h, 3*h + 51 = r*u. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53992 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -542 times -0.2?\nAnswer: 108.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q + 789034*q**2 - 789179*q**2 - 4*q + (-3 + 5 + 0)*(-3 - 2*q**2 + 3) - 3 + 3 + q**2 to the form b*q + n + r*q**2 and give r.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (858\/(-44))\/(-39)*64\/2. Let n be (-1982)\/(-4) + 2\/4. Calculate the highest common factor of n and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 - 42. Suppose l + j = -6. Do l and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5, -10 = -5*d + 2*x - 4*x. Let l be (-6)\/14 - 450\/(-70). Suppose -4*z + a + 31 = 0, -z + 2*a + a - l = d. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**2 - 565*v + 12907. What is q(162)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*g = 20. Find the second derivative of -1 - 7*p + g*p - 3*p**5 + 1 wrt p.\nAnswer: -60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-13 - (0 - -4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 6:34 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -335*t + 13. Is j(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18816, 20518, 22194, 23844, 25468, 27066?\nAnswer: 28638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -46200 divided by 1925?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/168 and 107\/9128.\nAnswer: 27384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -11. Suppose -1 = 2*s - 9. Suppose -3*q - 2 + 0 = 4*v, -5*q - s*v - 6 = 0. What is the smallest value in q, -5, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/41, 4\/15, 0, -0.4 in ascending order.\nAnswer: -0.4, -2\/41, 0, 4\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1143748 - -1033951. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*u + 15*u - 8*u**3 + (u + 1 - 1)*(0*u**2 + 2*u**2 - 4*u**2 + (0*u + u - 3*u)*(0 + 0 - 2*u) - 4*u**2 - u**2 + 2*u**2 + 2*u**2 - 6*u**2 + 2*u**2).\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2143169 > -2143160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128361 - 128361 + r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/((-90)\/135)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -172692964, -172692966, -172692968, -172692970, -172692972?\n\"Answer: -2*o - 172692962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/13? (a) -2 (b) -4\/3 (c) 2\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 9) in base 3?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 6*f = 9*f - 425, 0 = -7*f + 2*f. Let k = -12 - -23. Calculate the remainder when m is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -158177916 > -158177921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/(-21))\/(8\/12). Let h(b) = 2*b - 2. Let q be h(z). Sort 26, q, -5, -3 in decreasing order.\nAnswer: 26, q, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/7, 0.06, 2\/247?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129331*-0.3.\nAnswer: -38799.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 310 - 313. Let f = -593\/5 + 119. Let i be (-8)\/(-20)*5\/(-6). What is the nearest to i in p, f, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -3515*a**4 - a**2\/2 + 2570*a - 11207. What is the second derivative of m(u) wrt u?\nAnswer: -84360*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(10\/4)*12\/(-576)*-8.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 735 + -238. What are the prime factors of y?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.44347 millilitres in litres?\nAnswer: 0.05544347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115.07 - 115.37. What is the smallest value in j, -96, 1, -1\/4?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16979 + 4521*z**4 - 33168 + 17228 wrt z?\nAnswer: 18084*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38578\/3 or -12859?\nAnswer: -38578\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 7*b + 5. Determine u(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 97, 5, -2\/11?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(2448)*-1 + -5 - (sqrt(2448) - (1 + sqrt(2448) + 0)))*3 + 0)**2.\nAnswer: 864*sqrt(17) + 22176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 972 divided by 7175?\nAnswer: 972\/7175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (52 - 46) + 21973*1 + 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1319412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -118*l**2 + 82*l + 16. Let j(d) = 37*d**2 - 27*d - 5. Let y(v) = -5*i(v) - 16*j(v). Determine q, given that y(q) = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)*2*1)\/(sqrt(1100)*-3 + sqrt(1100) + sqrt(11) - sqrt(11) - sqrt(11)).\nAnswer: -2*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 t when four letters picked without replacement from {s: 1, t: 6, a: 3, o: 2, i: 1}.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*l**3 - 133*l*w**2 + 3*w**2 - 88*w + 2 wrt l.\nAnswer: -18*l**2 - 133*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55853 - 18658 - 3*z**2 - 18608 - 18663.\nAnswer: -3*z**2 - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/15 of a hour?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32508.69 months in centuries?\nAnswer: 27.090575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 + 31*p**3 + 99*p**2 + 101*p + 34.\nAnswer: -(p - 34)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 7*v - 25 = 0. Suppose -3*y - 22 = -j - 8, -v*j = 4*y - 13. Suppose 3*d - j*d = 0, -5*d + 112 = c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (117\/(-156))\/((5\/(-100))\/(152\/(-60)))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 7:50 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-6*((sqrt(72) - (-1 + sqrt(72))*-1) + 4)**2.\nAnswer: -3564 - 864*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 295*(144\/30 - 4). Let t = j + -161. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 724216287.99999956 + -724216269. Let r = g - 19. Round r to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, g: 13}. Give prob of sequence gjgj.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 3*b + 5 + (-1 + 1 + 1)*(-4*b + b + b) + (1 - 1 + 2*b)*(3 + 2 + 1) - 5*b + 3*b + 0*b as x*b + q and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1824493.73 to the nearest one thousand.\nAnswer: -1824000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2515030*g**3 - 2515029*g**3 + 16 + 33.\nAnswer: g**3 + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4147 - 290?\nAnswer: -4437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1399808 and 5120?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19094257?\nAnswer: 7, 13, 37, 53, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*t**3 + 156654*t**2 - 38*t + 525620124.\nAnswer: -42*t**2 + 313308*t - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*u = -600, -2*u + 3*u = m - 143. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g**2 - 2843*g - 1313. Let n(s) = -3*s. Determine i(n(p)).\nAnswer: -36*p**2 + 8529*p - 1313","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 17163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 80 + 3*g + 83 - 165. Let j(x) = x - 2. Let y(o) = i(o) - j(o). Let w(s) = -s**2. Give w(y(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 3:23 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 564392 and 7.\nAnswer: 3950744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 167490036 take away 0.0515?\nAnswer: 167490035.9485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 431.0651 minutes in seconds?\nAnswer: 25863.906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5381*o - 59155. What is c(11)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 195619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(128) + sqrt(128)*1 + 2)*-1)**2 - ((2 + -1*sqrt(128) - (sqrt(128) + (2*sqrt(128)*-4 - sqrt(128) - sqrt(128)))) + -2)**2)*-6.\nAnswer: -576*sqrt(2) + 46026","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7)*(a*a*a\/(a*(a\/a**7)\/a)*a)\/a)\/(a*a**(-1\/3)\/a)**(-2) assuming a is positive.\nAnswer: a**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g - 2. Suppose -29*t - 4864 = -13*t. Let w = 302 + t. Calculate y(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**2 + 523*o + 1540. Give b(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000010860501 rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*n**2 - 5 + 52*n**2 + 4 + 357 - 19*n**2 - 357 + (-1 + 1 + 2*n)*(n + 3 - 3))*(-n**3 + 3*n**3 - 4*n**3).\nAnswer: -16*n**5 + 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 40. Let m = n + 25. Suppose 4 = 2*b - 0*v - m*v, 13 = 5*b - 2*v. Calculate the greatest common divisor of b and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13274700 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8974?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zfc when three letters picked without replacement from {c: 3, o: 1, u: 3, z: 4, f: 2, a: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34\/5 - 36\/5*v - 2\/5*v**2.\nAnswer: -2*(v + 1)*(v + 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 8 + 4 + 16*n to l*n + c and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 156 - 158. Let w be (14\/35)\/(o\/(-20)). Solve -23 = w*f - 11 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 6*r**2 - 4*r - 14. What is the remainder when 109 is divided by d(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 75 = 9*x. Find the second derivative of -13 - 9*f**3 + 43*f + 4*f**3 + 3*f**3 + x + 39*f**2 wrt f.\nAnswer: -12*f + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.081*0.1.\nAnswer: 0.0081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.90626 rounded to 1 decimal place?\nAnswer: 78.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 1104*b - 50735. Calculate d(46).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 47, 76, 105?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**6\/6 + m**5\/3 + 14*m**2. Find the third derivative of z(r) wrt r.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -40. What is the remainder when 66 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 1. Let y(g) = 2 - 1 + 2*g - 3. Let j = 40 - 34. What is j*y(h) + 11*c(h)?\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00588930797 to 5 dps.\nAnswer: 0.00589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -13. What is the tens digit of (-155)\/(-2) + (-5)\/c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.7 + -3.9. Which is the biggest value? (a) 0 (b) y (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 37104\/18 - (-2)\/(-6). Let x = 484337\/235 - t. Let k = x + -1179\/470. What is the third biggest value in 13, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (3 - 12)) + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - n - 4795 = 0, -g - 10*n = g - 9590. Calculate the greatest common divisor of 35 and g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/((-8)\/(-4)))\/(3\/(-6)). What is the least common multiple of c\/7 + 310\/7 and 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 4*l + 3. Let g be f(4). Suppose -2*r = -4*c + 16, 0 = r + g*r - 3*c + 22. What is the common denominator of (9 - -2)*(-2)\/r and -59\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6357 * 0.0902\nAnswer: -573.4014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-270))\/(3\/12). Is 1 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 3*t + 3*q + 35, 6*t + 92*q + 75 = 95*q for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 530 (b) 2 (c) -2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16, 4.7, 9, 1\/94?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -8*i + 27. Let y be (0 - -2) + 6*1. Suppose h = i + y. Is 17 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of y**5\/60 + y**4\/8 + 1439*y**3\/6 + 63*y**2. Is f(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-108)\/28 - (-2)\/140*-5*2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70422 is divided by 11373?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 688, -3.3, 2\/11?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3583113 or -3583117?\nAnswer: -3583117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yp when two letters picked without replacement from {p: 1, m: 1, w: 1, y: 1, u: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 9*u. Let x be 4*1\/2 - u\/(-8). Suppose 4*h = -x*l + 3*h + 4, 8 = 4*h. Is 1\/53 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 12*w + 5. What is the tens digit of c(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -56*f - 2. What is the remainder when o(-1) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*28\/(-630)*3*(-2)\/12?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, n: 2, e: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 11*j = -5, 3*t = 4*j + 4. What is the hundreds digit of (-5)\/(-22 + 2) + 1422\/t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 94, 425, 1146, 2401, 4334, 7089, 10810?\nAnswer: 15641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 339448201 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: Is 718\/293 greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-266)\/35 + (-10)\/25. Which is the nearest to -2\/7? (a) 0 (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205401739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2589507 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000092667 to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-2) - (-44 + -6). Suppose 31 - 47 = -8*d. Suppose -3 = d*g - j. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v**2 - 7*v - 4. Let g(s) = 7*s**2 + 13*s + 7. Let f be (102\/9 - 4\/12)\/(-1). Determine f*y(i) - 6*g(i).\nAnswer: 2*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15561115*b**4 - 14809217*b**2 wrt b.\nAnswer: -373466760*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i + 18*i + 7*i + 18 = 3*g, -2*g - 16 = 4*i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2262477019.\nAnswer: 11, 205679729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*a**2*f*l**3 + a*f**3*l - a*f*l**3 - 3*f**3*l - 15*f**2*l**3 wrt a?\nAnswer: -6*a*f*l**3 + f**3*l - f*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 + 0*r**3 + 2*r**3)*(-172 + 113 - 214 - 197 + (-3 + 6 - 1)*(-1 - 3 + 3)).\nAnswer: -944*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -4231?\nAnswer: 4233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1\/4, -22.7, 5\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ug when two letters picked without replacement from {u: 2, g: 16}?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 5*r - 19. Let w be g(8). Which is the smallest value? (a) -1\/4 (b) 4\/7 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/21 - 138\/168 - 113\/(-4). Solve 5*d - 19 = 4*x - 54, -d = -5*x + v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 273*a - a**2 + 1694 - 2*a**3 + 296*a - 1697 as j*a**3 + h + n*a + r*a**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*6*sqrt(42)\/(-1*sqrt(6)).\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4599 divided by 73?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnjen. Give prob of picking 1 e and 2 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v = -978 + 1910 - 9812. What is the greatest common factor of v and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a hour in seconds?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/((-36)\/(-8) - 4). Differentiate -a*i**2 + 4*i**2 + 20 - 14 - 8*i**3 wrt i.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25917 - 14495. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-80))\/((-1)\/(-5)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2630593620 to the nearest 1000000.\nAnswer: 2631000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 + 120854764*r.\nAnswer: 4*r*(r + 30213691)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 125150?\nAnswer: -125153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 11:53 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 z, and 1 t when four letters picked without replacement from {t: 4, z: 6, m: 3}.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 6*b**2 - 3*b + 35. Let t(j) = -14*j + 114. Give t(v(x)).\nAnswer: -84*x**2 + 42*x - 376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -26*s + 23. Let k(o) = -o - 5. What is -6*k(y) - q(y)?\nAnswer: 32*y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 60037125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2842.02 - 2842. Let m be (-158)\/5 + 8\/(-20). Let u be 10\/15 + m\/39. Sort j, u, -2 in ascending order.\nAnswer: -2, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304 is divided by 86?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 348, 699, 1052, 1407, 1764, 2123, 2484?\nAnswer: 2847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**10\/v*v*v\/(v*v\/(v*v**(1\/5))*v*v)*v)**(-2\/33) assuming v is positive.\nAnswer: v**(-34\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -239460513, -239460512, -239460511?\nAnswer: -239460510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -13*g**5\/60 - 4*g**2. Let f(v) = -2*v**2. What is m(f(j))?\nAnswer: -52*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -16*(2\/3)\/(4\/(-3)). What is the third derivative of t*l**2 + 208*l**3 - 198*l**3 + 2*l**2 wrt l?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.067172 to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2082099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (75\/(-10) - -7) + (-14)\/(-4). Sort -3\/2, 0, c.\nAnswer: -3\/2, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 14652471432\nAnswer: -14652471432.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from sfkk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 7:35 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/76? (a) 0.058 (b) 1\/19 (c) 2\/3 (d) 3\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of s**4\/4 + s**3 + s**2 - 10. Find l such that x(l) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1122*o**4 + 231*o**2 - 18*o + 1. Let a(w) = 1123*w**4 - 231*w**2 + 12*w - 1. Let y(z) = 3*a(z) + 2*n(z). Find the third derivative of y(j) wrt j.\nAnswer: 27000*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.5345 rounded to 1 dp?\nAnswer: 14.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 32*t**2 + 194*t + 14. Calculate f(24).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 7*p**2 + 3*p**2 + (-p + 0 + 0)*(0*p + 0*p + p) + 0*p**2 + 0*p**2 + p**2)*(-27 + 3*p**2 + 27).\nAnswer: -6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 188 or 10\/41?\nAnswer: 10\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31097\/104 - -299. Let n = 2211297\/267722 + -5\/82376. Let g = o + n. Find the common denominator of g and 151\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19791 + x - 9815 - 9890 to the form m + d*x and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -482238538*j**2 - 394922*j - 80 wrt j?\nAnswer: -964477076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7696275 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 176\/((-96)\/(-12))*(10\/(-4) + 2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -32382 divided by -18\nAnswer: 1799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18921 is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 12:32 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 != 7.311443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.57 - -9.07. Let u = 110 + -111. Sort l, u, -1.1, -0.2.\nAnswer: -1.1, u, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -228, -701, -1612, -3105?\nAnswer: -5324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55 or -311?\nAnswer: -311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 123100331?\nAnswer: -123100321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1382*n + 1627*n - 122 + 120.\nAnswer: 245*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -0*u + 8. What is f in 6*f + 0 + 21 - 3 - 10*f**u + 2*f**3 = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b43a7 - -2?\nAnswer: -b43a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -280930 and 11676?\nAnswer: 292606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g**3 - 3*g**2 + 5*g + 6. Let a be r(-6). Let y = -3185\/4 + a. Let h = -97\/2 - y. What is the common denominator of h and 73\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001101101110111 + 11?\nAnswer: -100001101101110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 1. Let l(s) be the third derivative of s**5\/60 - 103*s**2. Calculate l(g(a)).\nAnswer: a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -235.9741 - 0.0259. Let s = -1319507.06 - -1319743.060516. Let b = s + a. What is b rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -10. What is the units digit of (w\/3 - 2) + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -29 - (15 - (-24 - -22))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y - 37. Let b be o(-8). Solve -j - g + b = -7, 0 = 3*j + g - 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -308.83 and 134.\nAnswer: -41383.22","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1320072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*p = 600 - 3675 - 105 for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/233 in -5, -25, -5.5, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 31*i**3 - 4*i**2 - 6*i. Let c(a) = 6*a**3 - a**2 - a. Let v(y) = 5*c(y) - p(y). Let u(k) = 14*k**3 + 2*k**2 - 2*k. Calculate u(b) + 2*v(b).\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13260*a**2*c**3 + 10*a**2 - 5563*a*c - 830*c**3 wrt a.\nAnswer: 26520*c**3 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from osrrsolq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 686947 is divided by 667.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(133)*6 - -3*sqrt(133)*1)*-1)\/((sqrt(49) + -3*sqrt(196))\/(sqrt(7) + -4*2*sqrt(7))).\nAnswer: -63*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2202.849 centuries in decades?\nAnswer: 22028.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31047269295.00106 + -31045985254. Let p = w - 1284086. Let l = 45 + p. Round l to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1926900 is divided by 481723.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1608 is divided by 555?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 z when two letters picked without replacement from nclzcqlzu?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3807346 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdt when three letters picked without replacement from dttyt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 41 = 4*j + 6, 2*y = -4*j + 34. What is the remainder when 12 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -75.2 + 83. What is a rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4194\/10 - (238\/35)\/17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s - s)*(-2 + 6 - 2)*(-6*s + 4*s - 19*s).\nAnswer: 42*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*30\/(-2124)*((-22)\/(-165) - 6\/(-9)).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171 (base 14) in base 9?\nAnswer: -357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/5 + 4324*z\/5 + 428736.\nAnswer: 2*(z + 770)*(z + 1392)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + k + 8*k + 5 + 5 - 7*k**2. Let i be o(-8). What is the third derivative of 3*q**6 - 7*q**6 - q**i - q**2 wrt q?\nAnswer: -480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29371 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -181\/887 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1899 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 79, 5\/3, -0.9067, 1, 3\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*o + 20*o - 3*r + 21, -2*r - 6 = 6*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m**2 - 27*m + 6. Let p be a(3). Round p to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90a (base 14) to base 13\nAnswer: -a66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-32)\/(-57) + (-22)\/33. What is the nearest to 23 in 2\/7, r, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2022*c**3*d**2 - 48019*c**3*d + 2*c**2*d**2 + 6*c*d**2 + 25*c*d + 40*d**2 wrt d?\nAnswer: 4044*c**3 + 4*c**2 + 12*c + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*h = -2. Let d be h + -4*3\/(-6). What is the units digit of ((-1)\/1)\/(d\/(-80))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yypt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.14082901 + -0.35920659. Let c = -17 + 23.5. Let p = c + d. Round p to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10 and -0.3?\nAnswer: 10.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7087, 6944, 6705, 6370, 5939, 5412?\n\"Answer: -48*d**2 + d + 7134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u**2 - 707*u - 11623. Calculate k(-19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**2 + 1815*a - 44390 = 0.\nAnswer: -386, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1543747 or 1543753?\nAnswer: 1543747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.316528 and -103.6.\nAnswer: -32.7923008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.612291 millimeters in centimeters?\nAnswer: 0.6612291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 107687944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + 2ca?\nAnswer: 2d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 + 792*r - 25136. Determine d(361).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -5. Let q(j) = 13*j + 5. Let t be q(b). Suppose 33 = 5*a - t. Calculate the highest common factor of 45 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 1:38 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1695511, -3391241, -5086971, -6782701, -8478431?\n\"Answer: -1695730*g + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyy when three letters picked without replacement from {y: 4, i: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 4*c + 6. Let u be x(-6). Let i be (3 + -1)*(-21)\/u. Solve -2*d - i*g - 6 = -3*g, 41 = 5*d - 4*g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39225\/2180 - 18)\/((-9)\/27*(-9)\/(-8)).\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 327.4 - 351.1. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/10)\/(1\/5). Let m(w) = 0*w + 3*w + 0*w + 3 - 2*w**r. What is m(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 345763 and 765787.\nAnswer: 559790297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 507 in 0.4, 0.671, 1\/3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 40 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*o = 2. Let q(u) = u + 4. Let y be q(o). Solve 5 = -y*j + 13 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49\/23 - 199\/115. What is the nearest to -4\/21 in 0, 5, g, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -860 by -4.\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 28*f. Let r(c) = -c + 30. Determine r(o(j)).\nAnswer: -28*j + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 0 - 14*i - 1\/6*i**3 + 0*i**2. Let k(b) = 3*b + 2*b - 2*b - 6*b. Determine y(k(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 0 = -36. Let m be (136\/u)\/((-4)\/(-3882)). Let r be 1 - (m - -1) - -1. Round r to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 51*z**2 + 193*z - 51. Calculate w(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/18 and (1812\/54)\/(32\/(-12))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.2 + -4. Let k = n + 1.5. Suppose -3*x = -4 - 5. Sort 0, k, x in increasing order.\nAnswer: 0, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/(105\/(-10)) + (-22)\/6. Let b be ((-2)\/y)\/(18\/972). Put -2, 5, 4, b in increasing order.\nAnswer: -2, 4, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 810651.\nAnswer: 3, 270217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (-4 - -2 - -3 - 9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*k + 10, 5*g - 2 + 16 = -3*k. Suppose -18 - 14 = k*h. Let q be 6\/(-8)*h\/(-24). Which is the closest to -2? (a) 1 (b) q (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/56)\/(-4)*(-14)\/10?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 172*i**2 - 330*i**2 + 162*i**2 + 0.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 3*t**5\/20 - t**4\/4 - t**3\/3 + 7*t**2. Is m(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202320 - 465*j**2 - 202320.\nAnswer: -465*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 2*x + 10, -3*g - 1 = x + 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 37.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 3*p - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6710868 and 54.\nAnswer: 20132604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 i when two letters picked without replacement from kiokookippipoopop.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -14*w + 8. Let l(n) = -32*n + 18. Let b(o) = -4*l(o) + 9*y(o). Let x(p) = 378*p**2. Give b(x(u)).\nAnswer: 756*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226516360.\nAnswer: 2, 5, 7, 431, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) -33\/181 (c) -4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c - 50 = 59*u - 58*u, 0 = -0*u - 3*u - 5*c - 150 for u.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.79224355 - 639.79278555. Let h = -639 - q. Round h to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1834.3 * 19\nAnswer: -34851.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2635*g - 298. Is n(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245830 divided by -883?\nAnswer: -245830\/883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 13 = -265. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g**2*i*w - 195*g**2*w + 2*g*i - 160*i*w + 4 wrt g?\nAnswer: -2*g*i*w - 390*g*w + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 25247?\nAnswer: 1\/25247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.07 (b) -5 (c) -0.5 (d) -0.1 (e) -3\/4628 (f) -1 (g) 3\/46\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -436, -539, -646, -757, -872, -991?\n\"Answer: -2*g**2 - 97*g - 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 4*o**2 - 7*o - 1. Let q be x(-5). Suppose 4*z + 12 = -12. What are the prime factors of (3\/q)\/(z\/(-558))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b**2 - 18*b - 57. What is d(-3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 6522 = -0*h + h, -2*j - 4*h = -1872. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 25. Let z(d) = 2*d**2 - 17*d - 10. Let v be z(7). Let m be q(v). Solve 0 = 2*r - m + 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y - 1561 + 1561.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 17, m: 3}. What is prob of picking 1 z and 3 m?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 2*c - 11. What is the units digit of z(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - 216 - 5*a + 7*a.\nAnswer: a - 216","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22685*i**2 - 29 + 19493*i**2 + 29.\nAnswer: -3192*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 + -28. Let q = t + -13. Solve 2\/11*r**4 - 2\/11*r**2 - 2\/11*r**3 + 2\/11*r + q = 0 for r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22\/67 + 113\/268. Solve 0*i**3 + 0*i + 0 + 3\/4*i**2 - j*i**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/8)*r)\/r*r\/r**(2\/23) assuming r is positive.\nAnswer: r**(237\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -71 - (-96 + 64) - -101.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vrvevhrhrrhrr. What is prob of picking 1 h and 3 v?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 41*u**2 + 467*u + 69. Is f(-29) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 - 53 + 19*k.\nAnswer: 19*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 754696 and 32248?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.3594mg to nanograms.\nAnswer: 22359400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**2))**(-3\/34)\/(((n\/((n**7\/n)\/n))\/n)\/((n\/(n\/n**8)*n)\/n)) assuming n is positive.\nAnswer: n**(224\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*f - 122*f - 102934 = 0. What is the thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 20*q**3 - 2*q**2 - q + 2. Calculate the remainder when g(1) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15\/10)\/((-1)\/(-2)). Let v = -4580 + 4583. Solve -m*r - 6 = 3*g, 4*r = -g - 2 - v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-128)\/(-28) - 3\/(-7). Suppose -q = -3*c + 10. Let g(p) = -65*p + 6. What is the remainder when g(0) is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 462 and 5467.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 376 (base 8) to base 5\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1543084.\nAnswer: 2, 385771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -11*k**2 - 6*k. Let o(t) = 20*t**2 + 11*t. Let n(b) = -11*m(b) - 6*o(b). Let s(x) = -28*x. Give s(n(w)).\nAnswer: -28*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16455163 divided by -3?\nAnswer: -16455163\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 92430*a**3 - 955001*a wrt a?\nAnswer: 554580*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 270?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aaaahhehah.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4005 - 2?\nAnswer: 4003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c785 - -9?\nAnswer: -2c779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -766557876 less than -780524?\nAnswer: 765777352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 794*o**2 - 74*o + 5. Is n(-4) a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15665852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i - 1. Let u(m) = -96*m. Give 3*b(v) + u(v).\nAnswer: -93*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4004 divided by 572.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (14 - (-11 + 0 - (101 - 109))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m + 47 + 0*m - m.\nAnswer: -m + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 11*s - 1. Let k be (3 + (-22)\/4 + 3)*2. Let o be ((-8)\/6 + k)\/((-1)\/3). Determine g(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 8*n**2 - 4*n + 10. Let c be z(8). Calculate the common denominator of (4\/c)\/((-3)\/(-9)) and (-1)\/7 + 3339\/(-294).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -11. Does 2 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3977233.45 + -0.3.\nAnswer: 3977233.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 455*f + 4093. Calculate h(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.288 - -0.712. What is the nearest to v in 2\/5, 222, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9308302273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2047.8463 rounded to the nearest integer?\nAnswer: -2048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1935021 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -171792\/5 + 34358. Let p = 1 - -2. Sort -0.05, a, 2\/9, p in ascending order.\nAnswer: a, -0.05, 2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2 or 142\/33?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 7\/93 (b) 5\/6 (c) -4 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1058 + -1055. Factor -15\/2*g - 19\/2*g**2 - 1 - 3*g**f.\nAnswer: -(g + 1)*(g + 2)*(6*g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 148*r**7\/21 - 463*r**4\/12 + 10*r. What is the third derivative of h(n) wrt n?\nAnswer: 17760*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(48\/(-36)))\/((-3)\/(-8)). Sort 81, t, -3 in decreasing order.\nAnswer: 81, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -935*g**2 + 53*g - 6?\nAnswer: -1870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8258 + -8254.501. Let k = -0.321 - p. What is k rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 7\/5*p**3 + 5941\/5*p**2 + 1698\/5*p.\nAnswer: -p*(p - 849)*(7*p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1.5. Let t = -1.2 - -1.1. Which is the nearest to t? (a) 1 (b) -0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -6316234.\nAnswer: 2\/3158117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1806 and 18?\nAnswer: 5418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -1 - (6 + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-290) + (-18249)\/2291?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*s + 47, -2*s - 58 = 8*h - 4*h. Let a = 17 + s. Which is bigger: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 282 = 2. Let r be (-475)\/10 + (-2)\/4. Let q = r + u. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 + l - 492323. Let d(f) = -8*f. Calculate r(d(k)).\nAnswer: 128*k**2 - 8*k - 492323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -22. Suppose -5*w - 2*l = -72 - 5, -5*w = -r*l - 97. Suppose 20*h - w*h = 3000000. Round h to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4155?\nAnswer: 3, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32646*i**3 + 10845*i**3 + 10887*i**3 + 10861*i**3.\nAnswer: -53*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 214987537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 23. Let g = 21 + o. Calculate the remainder when 37 is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 153*m - 124*m - 2*m**2 + 1965 - 1994. Give k(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3*j + 3)*(2 - 4 + 4) + (3*j - 5*j + 3*j)*(-6 + 0 + 3) + 2*j - 1 + 1 to l + o*j and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 209\/7 - 176\/7. What is the common denominator of a and 5 + -5 - -1*55\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14571*t + 4864*t + 4860*t + 4851*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/4 - (-22)\/(-8). Let l be (1*(3 + r))\/2. Factor 1\/3*m**3 + 0*m**2 + l - 1\/3*m.\nAnswer: m*(m - 1)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3559530, 7119059, 10678588?\n\"Answer: 3559529*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*q + 11 = 0, -606 = -m - 5*q - 589. Factor 2\/7*p**m + 0 - 2\/7*p.\nAnswer: 2*p*(p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3607 + -3600. Which is smaller: 180 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 418 = -5*r. What is the common denominator of r and ((-91)\/(-7098))\/((-675)\/336 - -2)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 - -55. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-9)\/(-3)*-1. Let w = 0 - j. Let z(r) be the third derivative of r**4\/6 - r**3\/2 + 6*r**2. What is z(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**2\/7 - 153948*y\/7 - 23307680\/7 = 0. Calculate y.\nAnswer: -38335, -152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 5*c**2 + 80*c + 75 = 0.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppttptt. What is prob of sequence pppt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x - 14. Let s be g(4). Suppose 0 = -i - 2*k + 1, -s*i = 3*k - 4. Solve -4*c + 11 + 1 = -4*t, i*c = -4*t - 30 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/5)*f\/(f*f*f\/(f*f*(f**(1\/3)*f*f)\/f)*f)*f*((f**4*f*f*f)\/f*f*f*f)\/f**(-1))**41 assuming f is positive.\nAnswer: f**(6847\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26.962 + 27. Let r = f + -0.07. What is r rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**4\/3 + 5*i**2 + 2*i. What is the first derivative of j(z) wrt z?\nAnswer: 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.33, -152585, -0.4, 0.6 in decreasing order.\nAnswer: 0.6, -0.33, -0.4, -152585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of j**5\/100 + j**4\/40 + 3*j**2 - 4. Let g(y) be the second derivative of r(y). What is i in g(i) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**3 - 21*t**2 - t + 21 = 0.\nAnswer: -1, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -1, 0.1, 7, 4\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(0*x - x + 0*x) + (-41 - 13 + 14)*(0*x + 3*x + 0*x).\nAnswer: -118*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -11*b**3 - b**2 - 4*b + 1. Let g be n(2). Let y = g + 144. Suppose -3*d + y = 2*d. What is the remainder when d is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04776957 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 881488362?\nAnswer: 2, 3, 1201, 122327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 939*m = 23599 + 4571 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57175 is divided by 549.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.0542*-5\nAnswer: -0.271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 10*g**2 + 9*g - 3. Let n be r(9). Put -7, 4, -2, n in descending order.\nAnswer: 4, -2, n, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.832 minus -3566?\nAnswer: 3565.168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -635 divided by 6?\nAnswer: -635\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**4\/12 - 2*j**3\/3 - 5*j**2\/2 + 50*j - 19. Let s(n) be the first derivative of i(n). Factor s(z).\nAnswer: (z - 5)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -536*j - 330*j + 623*j.\nAnswer: -243*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -7*u**2 + 91*u - 487. Let g(s) = -6*s**2 + 90*s - 486. Let y be 18\/(-24)*(-2 - -6). Let b(a) = y*g(a) + 2*k(a). Solve b(f) = 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 1 = 3*a, -5*a - 7*a = -2*o - 4 + 8 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*l = 1465 - 4416 - 5577 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*t + t - 102 = 0, -2*p - 5*t - 96 = 0. Let j = 53 + p. Put 3, -17, j, -2 in decreasing order.\nAnswer: 3, j, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206021340 to the power of 1\/4, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -49\/6, -0.02, 25, 12, 5, -1\/4 in decreasing order.\nAnswer: 25, 12, 5, -0.02, -1\/4, -49\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*w = 31*w + 3. Let m be (3 - 0 - w) + -2. Suppose 6*c = -2*c + 40. Solve m + 5 = c*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0624 - -448.0624. Is -0.2 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114332 is divided by 22706?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -12*c**2 + 12*c + 6. Let r be u(6). Let v = 1088 - r. Suppose -v = -7*g - 0*g. What are the prime factors of g?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-6))\/((-6)\/(-9)). Let o be -1 + i + 6 - 1. Let q(a) = 4*a**2 - 2*a + 1. Let m be q(1). Solve p - 18 = -r - m*r, -o*p = 2*r - 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kvkkkkktoovvktymk. Give prob of picking 1 v and 2 k.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80828 and 3025.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 a factor of 4583264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 638, 169, -300, -769, -1238, -1707?\n\"Answer: -469*i + 1107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -11*o**2. Let g(d) = -3*d + d + 0*d. Calculate c(g(w)).\nAnswer: -44*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 plus -3551?\nAnswer: -3550.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1668413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**3 - 2*k**2 - 2*k + 4. Let p be l(-4). Let a = p - -49. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -522420626, -522420629, -522420632, -522420635?\nAnswer: -522420638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -471, -925, -1355, -1755, -2119, -2441, -2715?\nAnswer: -2935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -906*n - 70674. What is v(-78)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y + 5*y - 6*y)*(-8*y + 0*y + 2*y)*(y + y - y).\nAnswer: -36*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/33)*s\/s**(-8) assuming s is positive.\nAnswer: s**(298\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*a**3*g**2*w**2 + 2*a**3*g*w**2 + 10*a**3*w - 71*a*g**2*w**3 - 4*a*g*w**3 + a*w**2 + 13*g*w**3 wrt g.\nAnswer: 76*a**3*w**2 - 142*a*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v + 5. Let r(a) = 5*a - 6. Suppose -3*j + 5 - 12 = k, -k = j - 1. Let f(o) = k*r(o) + 6*p(o). Let n(c) = -9*c**2. Determine f(n(t)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1*m*m**9*((m\/m**(1\/6)*m)\/m)\/(m**(1\/9)*m))**35 assuming m is positive.\nAnswer: m**(6755\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 40 = 130. Let o = n - 22. Sort -1, 1, o, -2 in descending order.\nAnswer: 1, -1, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 - 5*x**3 + x**3 + (2*x + 5*x - 5*x)*(-1 + 0 + 2)*(2*x**2 + 7 - 7).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-15573)\/(-5) + 54\/10 + -6.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 638, 1273, 1908, 2543?\n\"Answer: 635*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2189\/9 - -243. Which is the closest to 0? (a) g (b) 3 (c) -1\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.11892 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 472015200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360657 + 110078 = -7*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 20 = 0, 4*b + 1 = -6*l + l. Suppose -2*f - 26 + b = 0. Let n(a) = -2*a - 15. Let p be n(f). Solve 3*m = -9, 2*r = -3*r - p*m + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**4 - 1297*r**3 + 419903*r**2 + 421201*r = 0.\nAnswer: -1, 0, 649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*f + 23*f - 1029. Suppose -2*g - 61 = -f. Calculate the remainder when g is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(325) + -3 + (sqrt(325) + -1*sqrt(325)*-3)**2 - ((2*-1*sqrt(325))**2*3 + 5).\nAnswer: -15*sqrt(13) + 1292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 458.156 + -462. Let u = p + 2.7. Round u to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**3 - y - 5. Let w(m) = 7*m**3 + 3*m + 11. Let x(i) = 5*h(i) + 2*w(i). Suppose 4*z = 2*n + 2, -2*z - 4*n - 556 = -552. Calculate x(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 22 = -3*w, -2*w - 4*l + 7*l - 2 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.078 - 0.048. Sort -1.3, o, -0.4 in decreasing order.\nAnswer: o, -0.4, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 646024 by -28088.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15061026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12649754 minus 0.2?\nAnswer: -12649754.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.48744mg in kilograms?\nAnswer: 0.00003448744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 313 - 307. Let w(f) = -f**2 + 6*f - 9. Let r be w(t). Which is the closest to 2? (a) 5 (b) -1\/4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.062 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -230, -772, -1438, -2036, -2374?\nAnswer: -2260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*t - 18*t + 178 = 23*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 5) to base 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 75095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 4*f - 5*f)*(-206 - 16*f + 206).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 72*b - 642. Let g be s(9). Let p(j) = -2*j**2 + 14*j - 8. Calculate p(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 3. Let j(z) = -z**2 - 3*z + 4. Let q be j(-4). Let b = q - v. Put 2, 5, b in decreasing order.\nAnswer: 5, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7\/9 + -4\/9. Let s(y) = y**3 + 23*y**2 - 7*y + 29. Let g be s(-23). Let l be 2\/(-4) + 57\/g. Which is bigger: l or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 6 = -2*r + 16, -9 = 3*r - 2*z for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2555 - 1733. Suppose 273 - n = -j. What is j rounded to the nearest 10?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - m = -185 + 7, 3*r + 3*m + 162 = 0. Let w(o) = 44*o - 6. Let c be w(4). Let n = c + r. Does 33 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*-18522.\nAnswer: 740.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5*b**3 - 11*b**2 + 9*b - 4. Is q(5) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070876957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 9, m: 4, d: 3}. What is prob of sequence dm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -431, -2367, -5503, -9833, -15351?\nAnswer: -22051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 7:44 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 6084\/10) + 10\/25. Let z = -105 - n. What are the prime factors of z?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 88*h + 171. Determine p(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12020, -24034, -36046, -48056, -60064, -72070?\nAnswer: -84074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 57*j**3 + 4*j**2 - 14*j + 7. What is the thousands digit of b(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 12. Let l = -187 - -483. Let z = -299 + l. What is the smallest value in 4\/7, z, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 1)*(757*v**3 + 356*v**3 + 455*v**3 + v)*(0*v + 4*v - v - 8*v) in the form i*v**4 + c*v**2 + q + g*v**3 + r*v and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30487 - -83976. List the prime factors of b.\nAnswer: 89, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j. Let a(s) = -6*s - 6*s - 2*s + s. Determine a(y(r)).\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65 or -115?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 + 208*k + 1890. Calculate the remainder when r(-9) is divided by 64.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = x - 0*x. Let z be ((-4)\/3)\/((-4)\/x). Let n(k) = -k**3 + 11*k**2 - 4*k + 6. Let b be n(10). What is the highest common factor of z and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14, 0.14, 0.4, -0.4, 14\/27?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(119))\/(2*sqrt(7)*2).\nAnswer: -5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -6*d + 4141 - 4179, -4*q - 14 = -2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/4)\/(31905\/467940).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 372650443*w - 222493274.\nAnswer: 372650443","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 6*i - 5. Let q be o(4). Suppose -4*w + 0*b - 2*b + 8 = 0, 0 = w - 5*b - 24. Which is smaller: w or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17452*s**3 - 20*s**2 - 3*s + 7171 wrt s.\nAnswer: -52356*s**2 - 40*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 16) in base 6?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 148 in -0.5, 7, 0.97?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40687 is divided by 147?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 17*u = 180. Let y = 111 + u. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 4*g**2 - 4*g - 12. Let i be c(-2). Suppose i*k - 6537 = -3*b, 0 = 3*b - 4*k + 2*k - 6537. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -6488?\nAnswer: 32440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30254 + -30240. What is the fourth biggest value in w, -1\/2, 0.4, 2, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5665778 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1859539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 divided by 1.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/21*(-5)\/(-5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.01 - 8. Let h = 2.01 - q. Let l = -5 + h. Sort -1, -0.2, l.\nAnswer: l, -1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 45 = 5*y. Suppose -3*t = -14 + 2. Solve y = -t*u - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 8 = -n, -6 = -n - 1. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*a - 4*u - 16, -2*u - 14 = 5*a. Find the common denominator of (26\/(-91))\/(a\/(-29)) and -59\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3616 + 20624 = -564*l + 569*l. What are the prime factors of l?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2615.\nAnswer: 5, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 - -7. Suppose -3*b + g = 3*s, -5*s + b + 48 + 47 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*m + 70*m + 733167 + 493737 = 0. Does 218 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12012211 (base 3) in base 16?\nAnswer: -eda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 3*c = 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 24. Let r be (-14)\/18 + (-2)\/b. Let a(i) = -i**2 + 1. Let w(t) = t**3 + t**2 - 2*t - 1. Determine r*w(y) - a(y).\nAnswer: -y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 649620701?\nAnswer: 89, 7299109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {k: 5, s: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s**2. Let w(j) = -1. Let g(p) = 5*p - 1. Let u be (1 - 3)\/(-6 - -8). Let t(f) = u*w(f) + g(f). What is t(v(n))?\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 4*j + 4032 - 25855, 5*l - 36365 = 5*j. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 100 + 5 + (0 - 2). Suppose -3*b + 65 = -m. Suppose 19 = -24*o + 25*o. Calculate the remainder when b is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**(-3\/5)\/(h**(1\/2)*h)**(-1\/5)*(h\/h**(1\/3))**(-2\/13)\/((h\/h**(1\/2))\/h)**(-15) assuming h is positive.\nAnswer: h**(-1424\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3887?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81637.14km to centimeters.\nAnswer: 8163714000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 979726, 979651, 979526, 979351?\nAnswer: 979126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 1. Let x be l(6). Let i(z) be the third derivative of -z**6\/60 - 3*z**5\/20 - z**4\/12 + z**3 - 10*z**2. Is i(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-416))\/((8 - 4)\/(-24))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 686705416289 and -0.6?\nAnswer: 686705416289.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(v\/(v**(-6)*v)))\/v**7)\/(v\/((v**(2\/9)*v)\/v*v))**(21\/4))\/(v**(1\/6)\/v**(-2\/5)*(v\/(v*v**(-4)))\/v**(-8)) assuming v is positive.\nAnswer: v**(-112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v - 248 + 278 = 639 for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*x**2 - 8*x**2 + 9*x**3 - 6 + 51 + 111*x**3 wrt x?\nAnswer: 360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (786\/(-64845))\/(2\/10)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 9*d**2 - 22*d + 3. Let f be x(11). List the prime factors of 2019\/f - 30\/(-6).\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*n + 176*n - 2 + 14*n**2 + 24*n + 8*n**2 - 76*n.\nAnswer: 22*n**2 + 285*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 15*j + 4. Let o(l) = -16*l - 6. Give -3*o(u) - 2*t(u).\nAnswer: 18*u + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/21*-3*19. Let d = 35 - j. Let g = d + 12. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 99147852 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 568253524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -8*q + 3*q + 27, -2*v = 3*q - 12. Let f(l) = l**3 - 5*l**2 - 6*l + 8. Suppose -u + 19 = -11. What is the remainder when u is divided by f(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -156? (a) 6 (b) -7 (c) 0.03 (d) -4 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 - 15 - (-2 - -20)) + -1 - 30?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 294667667 greater than or equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/52*16\/10*(39 - (-4 - -38))?\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -9*x + 8*x. What is the smallest common multiple of -3 + 142\/6 - (-8)\/24 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**3 + 0*n + 0*n + (54 - 104 - 59 + 2*n)*(-2*n**2 - n + n).\nAnswer: -7*n**3 + 218*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o + 4. Let k be x(4). Let i be 20\/k*(-12)\/10. Which is smaller: i or 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/2)*n**5*n)**(-10)*(((n**(1\/5)\/n)\/n*n)\/(n\/(n**(4\/7)\/n*n)))\/(n**(2\/3))**(-30) assuming n is positive.\nAnswer: n**(-918\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1606361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33.99792 + 34. What is u rounded to four dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 520446066?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*j**3 + j + 4194*j**2 - 4194*j**2 - 11 + 11.\nAnswer: -139*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -64 + 90. Let q = d + -26. Suppose r + 0*r - 31 = q. Which is smaller: r or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 133*u + 4. Let d(i) = 132*i + 5. Let c(o) = 4*d(o) - 5*j(o). Let x(s) be the third derivative of -s**5\/30 - 451*s**2. Give x(c(h)).\nAnswer: -37538*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1320 = 8*w + 424. Is 16 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*m**3*p*w - 56823*m**3*p + m**3*w + 3*m**3 + 2*m**2*p - 471741*m*p*w - 3*m*w wrt m.\nAnswer: 18*p*w - 340938*p + 6*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*h**4 + 39*h**3 + 9*h**2 - 39*h + 15 = 0. What is h?\nAnswer: -1, 5\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -143.44 - -143.54. Put 5, 0.09, 1\/4, v, -39 in increasing order.\nAnswer: -39, 0.09, v, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1819\/12 - -157. What is the common denominator of -43\/12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a hour?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 8:19 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - (36\/63 - (-10)\/7). Let t = k + 3. Let l = 0.3 - 0.1. Is t at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008446794917 rounded to five dps?\nAnswer: 0.00845","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qyqyqyqyqyqyyny. What is prob of picking 1 q and 1 n?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 274.73 - 277. Let h = 0.27 + p. What is the biggest value in -3, h, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = j + 1016, 68*b + j = 63*b + 2554. Calculate the highest common factor of b and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m + 8*m + 3*m)*(4 + m**2 - 4)*(-1 + 1 - 5*m) to the form g*m**4 + p*m**3 + r + v*m**2 + t*m and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8\/13, -1\/6, -7\/4?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**3\/11 + 2*f**2\/11 + 8*f\/11 - 8\/11 = 0. What is f?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 1283 = -1267. Suppose -4*c - 2*f + f = -y, -3*c + 385 = 2*f. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77938281059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, d: 5}. Give prob of picking 1 d and 1 c.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 0*o + 2*o)*(128*o + 1 - 51*o - 35*o).\nAnswer: 84*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/17*v**2 + 2048\/17 + 60*v.\nAnswer: -2*(v - 512)*(v + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -33, -3, 4, -5, 42 in descending order.\nAnswer: 42, 4, -3, -5, -14, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2112 (base 3) to base 6\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -28*b**3 + 3*b**2 + 5*b + 3. Let n(q) = -55*q**3 + 5*q**2 + 9*q + 5. Calculate 5*f(m) - 3*n(m).\nAnswer: 25*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -299 - 417a?\nAnswer: -4468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 16. Let g(f) = 11*f - 17741. What is g(v(c))?\nAnswer: -11*c - 17917","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 divided by -65?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 9*m + 9. Suppose m*h = 5*g - 0*g - 1, 0 = -h - 4*g + 11. Calculate the remainder when 10 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o - 20. Let b be h(-5). Put b, 8, 0 in descending order.\nAnswer: 8, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*((-4)\/(-3) + -1). Let s be 3\/(-12)*(z + -2 - 11). Factor -2\/5*r**5 + 2\/5*r**2 - 2\/5*r**4 + 0*r + 2\/5*r**s + 0.\nAnswer: -2*r**2*(r - 1)*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3309 = -389*x - 7583 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6788.209 kilometers to nanometers.\nAnswer: 6788209000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-2303)\/(-2))*((-2660)\/15)\/76\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 15) to base 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49186 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 80 (b) 148 (c) 0.2 (d) 5 (e) 1\/36 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36247 - 22572. List the prime factors of j.\nAnswer: 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-2))\/(1\/6). Let w = -8 + o. Let d be w*(14\/(-10) + 1). Solve 0 = -d*u - 4, 3*u + 21 = -3*k - 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -64*m**2 - 185*m - 8287. Let c(i) = 21*i**2 + i + 2. Let s(w) = -12*c(w) - 4*x(w). Factor s(l).\nAnswer: 4*(l + 91)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 40?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/13, -1\/2, 929?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*j**2 - 47*j**2 + 11*j**2 + 22*j**2 - 17*j**2 + 15*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1800 and 2664?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84375 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*r**6 - 15*r**5 - 38*r**4 - 3*r**2 - 2*r + 438335 wrt r.\nAnswer: 4080*r**3 - 900*r**2 - 912*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -400*h - 3423. What is the remainder when o(-14) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179199 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 158059943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/132)\/(69\/483)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 1445?\nAnswer: 17340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*k + 22, -k - 4*k = -h - 19. Let f(s) = 3*s**2 - 2*s + k*s**2 - 1 + s - 3*s**2. Suppose 4*t - 5*t - 1 = 0. Give f(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-154)\/632 - (-1)\/4. Suppose 3429*t = 3476*t. Is r less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in -0.6, 6\/11, -0.2, -0.005?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7*(78\/21 - 4). Let i(n) = 0*n**2 + 12*n**w - 15*n**2. Let l(y) = -2*y**2 - 6*y. Give l(i(g)).\nAnswer: -18*g**4 + 18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 6:29 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 0*k**2 - 2*k**2 - 2*k**2. Let y(l) be the third derivative of -5*l**2 - 1\/8*l**4 + 0 + 0*l + 0*l**3. Give m(y(z)).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*a)*(a**2 - 2*a**2 - a**2) - 2*a**3 - 2*a**3 + 3*a**3 + (2 + 0 - 3)*(2*a**3 + 2 - 2).\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 9:46 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 11:14 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/7 of a week in hours?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 71994.79 millilitres in litres?\nAnswer: 71.99479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13588928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78085 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 4*r**3 - r**2 - r - 10. Determine z(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/2)\/((-1)\/(-2)). Let q be (-1)\/y - (-46)\/(-30). Which is the nearest to 1? (a) 5 (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*f - 9*f - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, -7, -0.06, 18?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 21 - 44 + 38 = -f, 3*a - 24 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.4 (c) 1\/112 (d) 0 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 11 + 2*r)*(0 + 7 + 1) as z*r + k and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -321707214 + 321707214 + 8*k**2.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*f**3 - 1045*f**2 + 2510*f + 3520.\nAnswer: -5*(f + 1)*(f + 32)*(7*f - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00017844651 to 6 decimal places.\nAnswer: 0.000178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -14 - -12)\/(3\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 57 in -1, -28, 4.2?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -48 - 102. Let i = a - -17. Suppose -3*y + 4*j = -0*y - 181, y = -2*j + i. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/2, 216, 4\/21, 4\/5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 31 (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -82, 2\/3, 3490?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = a - 3*q, 2*q = -2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 - u**2 - u**2)*(0*u**2 - 2*u**2 + u**2) + (u**3 - 5*u**3 + 3*u**3)*(2*u - u - 2*u) + u**4 + u**4 + 0*u**4.\nAnswer: 5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -14*x**2 + 12*x + 9. Let k(y) = -13*y**2 - 5*y + 8*y + 8*y**2 + y + 3. Let l(v) = -6*i(v) + 17*k(v). What is l(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/600 and 31\/18.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ol when two letters picked without replacement from lzozoooor?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -401334\/77 - -5212. Find the common denominator of -57\/7 and p.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 3*l + 2. What is u(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169552 + 169525 = -w + 10*z, -2*w + 4*z + 6 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -6\/17, -0.02795, 0?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, -82, 0, -29.\nAnswer: -82, -29, 0, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/6)\/((-4)\/6). Suppose 4*w = 5*i - 5, -8 = -3*i + w + l. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79 + 87. Suppose 0 = -4*n - 4*y + d, 0*n - 2*n - 4*y = 0. Suppose -2*c - n*v = -94, 0 = -2*v + v. 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 highest common divisor of 3136 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(-1)*(16*(-132)\/704)\/(3\/(-2)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 3*w - 2. Suppose 4*o + 0*l - 4 = 3*l, 4 = -4*o + l. Let x = o + 6. Suppose 4*d = i - 3 - x, -4*d - 13 = -3*i. Give z(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*d + 2160 = 52*d + 85*d - 150*d for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*c + 80 = 4*w - 72*c, -5*c = -2*w + 68. Solve 79*n - 82*n - 3*v = 12, 0 = -4*n + 2*v + w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -98, -104, -122, -158, -218?\n\"Answer: -p**3 + p - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**2. Let i(m) = 60*m**2. Determine i(v(k)).\nAnswer: 1500*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78 - -145. Suppose 4*r - u = u + 82, -5*u = -4*r + n. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-1 - 1))\/1. Let f(k) = k**2 + 7 + b - 6*k - 5. What is the units digit of f(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107 divided by -28542\nAnswer: 107\/28542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1434518, -1434516, -1434514, -1434512, -1434510, -1434508?\nAnswer: -1434506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -7*l**2 - 8*l - 7. Let m(v) = 8*v**2 + 7*v + 6. Let g(r) = 7*f(r) + 6*m(r). Suppose 4*k - 13 = 5*k. Let z be g(k). Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 784 = j - 0*j + 3*n, 3104 = 4*j - 4*n. Let d = -545 + j. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44*(-247)\/304 + 2 + 27\/(-12)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -209972962.6 to the nearest one hundred thousand.\nAnswer: -210000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 139744205 a multiple of 986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u + 163. List the prime factors of x(14).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9667611 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 1)*(-1)\/3. Let w = 303 + -267. Let o be (182\/w + 15\/(-3))*6. Which is the second smallest value? (a) p (b) o (c) 1\/2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*(sqrt(2178) + 4).\nAnswer: 13 + 66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -g - 69. Suppose -u - 9*q = -6*q - 3, -4 = 3*u - g*q. Solve 3*b + w = u, b - 5*w = -w for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/d**(-5\/3)))*d)\/(d*(d\/(((d*d*(d\/(d*d**(1\/24)))\/d*d*d)\/d*d)\/d*d))\/d)*d\/(d\/(d**(-9\/4)*d))*d\/(d*d**(-1\/2))*d assuming d is positive.\nAnswer: d**(47\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 88*x**3 + 2*x + 2. Let n(w) = -177*w**3 - 5*w - 5. Calculate -5*g(m) - 2*n(m).\nAnswer: -86*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 4b?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 308747400 divided by -1032600?\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from eeqeq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 532? (a) -2\/3 (b) 10 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(2)*-6 + sqrt(10))\/(5*sqrt(4)\/sqrt(2) + sqrt(2)).\nAnswer: -5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - -0.1. Let k = -1\/82 - -43\/164. What is the second smallest value in s, k, 7, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 11:59 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14107080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361369 = 37*q - 20*q. 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 sequence sd when two letters picked without replacement from {s: 2, d: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ik when two letters picked without replacement from {k: 1, v: 1, h: 2, a: 2, d: 1, i: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2010708.8 rounded to the nearest 10000?\nAnswer: -2010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 8, 20, -1\/4 in descending order.\nAnswer: 20, 10, 8, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 711*w - 286*w - 3 + 3 - 3329*w.\nAnswer: -2904*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**5 - 3*g**5 + 5*g**5 + (-g**3 + 4*g**3 - 4*g**3)*(2*g**2 + 0*g**2 + 2*g**2).\nAnswer: -g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -277894*t - 1667358. Determine y(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39185478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*2*(0 + (-1*sqrt(560) - sqrt(280)\/(sqrt(16)\/sqrt(2)))\/((sqrt(672)*2)\/sqrt(6))).\nAnswer: 15*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, o: 2, m: 1}. What is prob of sequence mn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2326128, -2326133, -2326140, -2326149?\n\"Answer: -k**2 - 2*k - 2326125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2209.163 rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 6*a + 3. What is the second derivative of -67*t**4 + 2*t + a*t**3 - 6*t**3 - 49 - 13*t**3 wrt t?\nAnswer: -804*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -253\/2 + 128. Let z = 0 - -2. Is z at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 10 = 4*r + 6, 12 = -3*r - 5*i. Which is the closest to 1? (a) 0.4 (b) r (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*u + 4*w + 7, 2*u + w + 1 = 0. Let s = 0.125 - 4.525. Let p = s - 0.6. Which is the closest to u? (a) -2\/13 (b) p (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(-4\/11)\/z)\/((z\/(z\/(z*z\/((z**(2\/15)\/z)\/z))))\/z))\/(z**(-1\/4)\/z*z)**(7\/13))**(-25))**(-47) assuming z is positive.\nAnswer: z**(-8258135\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**3 + 3*l + 12 - l - 13 to i*l + o + n*l**3 + f*l**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 1285436*u + 10283616.\nAnswer: -2*(u - 8)*(u + 642726)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 4*s + 57, 4*a = s - 876 + 900 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 11*n - 3 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 635, 1264, 1891, 2516, 3139, 3760?\nAnswer: 4379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 226.6224 micrograms?\nAnswer: 0.0000002266224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12007 + -3929. Suppose -7*u + 1673 = -r. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -3*r + 3, -3*r - 7*w = -2*w + 1. Suppose 0 = -4*p - 17 + 61. Solve -p*b + 12*b = r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 252 - 204. What are the prime factors of (-118)\/k*-4*6?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5558327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*p = -295 - 449 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 4*f. Let d be m(-3). Let n = -1 + d. Solve -n*r - 2*l - 9 = -l, -2*r = 2*l + 8 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.030522 rounded to 3 dps?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2898308853.\nAnswer: 3, 11, 73, 401039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31389 (base 12) to base 13.\nAnswer: 23466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16\/5 + 37\/10. Let s be 1*(-6)\/5*15\/6. Which is the second biggest value? (a) x (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 4*n**2 - 5*n - 1. Suppose 17 - 2 = 3*y. Suppose -2*t - 3 - y = 0. What is the units digit of v(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 4:56 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -1809*g + 147. Let m be z(-4). What is the second derivative of -81*j**2 - 38*j**2 - 7445 + m + 25*j**2 + 2*j - 11*j**2 wrt j?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (13 - 1) + 2 + 2. Suppose -2*q + 4*q - 5*v - f = 0, 13 = 3*q - 2*v. Let d = 9 - 3. Solve q*t - d = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f**3*r + 34*f**3 - 10*f - 19*r wrt f.\nAnswer: 24*f*r + 204*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*2\/(-2 + 0). Suppose -2*p - 5*d = -3, 4*p + 0*d - 48 = b*d. Suppose -8*h = -5*h - p. Solve -4 = -3*y - 2*n + 3, -h*n = 3*y - 3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2054*o - 20. Let n(h) = 62*h - 1. Give 2*a(k) - 44*n(k).\nAnswer: 1380*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -1\/12 (c) -0.13 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**4\/12 + z**3\/2 + 90*z**2 - 6*z. Let j be v(0). What is the greatest common factor of 45 and j?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w - 7. Let q be ((-1)\/1 + 3)*-3. Let z(t) = -t**2 + 4*t + 64. Calculate the remainder when g(q) is divided by z(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 304 + 466. Does 23 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 7:50 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3, 2\/11, 1, -2807?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**5\/20 - 5*h**4\/12 + 7*h**2\/2 - 1291*h. Let v = -9 - -14. Give y(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {x: 16, k: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 412126398 to the power of 1\/3, to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 1 - 5, -4*d - 22 = -3*i. Suppose 0 = 4*u + 3*m - 4*m, 5*m = -3*u. Suppose -s - i*g = -0*g - 11, u = -s - 4*g + 5. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-2*(5 + (-6891)\/1452))\/(133\/(-266))\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6771943.\nAnswer: 6771943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*y + 12, -4*y + i - 4*i + 3 = 0. Suppose -2*x - 104*b = -103*b, -3*x + 13 = -5*b. What is the units digit of x\/(-1 + (y - (-75)\/(-39)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 9*w**2 - 32*w - 52. Let v be u(-14). Let g = 698 + v. Is g a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/62, 1\/6, 5, 183, -2\/3, -2, -5?\nAnswer: 3\/62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5343 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/16297460 and -23\/16297460?\nAnswer: 16297460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 497\/12 or 0.064?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6741817.\nAnswer: 593, 11369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -2*d + 6*d - 15, -3*d = -3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*s + 75 - 58 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 14. Let o be g(-11). Suppose 0 = -o*s + 6*s. Which is smaller: s or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/((-96)\/3)*(-17 + 13).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 418 and 912?\nAnswer: 10032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2240*u**2 - 182 + 182 - 315*u**2 + 2368*u**2.\nAnswer: -187*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2)**42)**(-17) assuming r is positive.\nAnswer: r**(-1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/(-6)*8\/(-28)*3. Which is the closest to -2? (a) -0.11 (b) -0.2 (c) -1\/7 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 176 - 209. Does p = -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 10*m**2 - 26*m + 17. Suppose -1131*u = -1143*u + 144. Calculate z(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1967507169 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/66 and -9\/253?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, b: 1, j: 2}. Give prob of sequence jiji.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**5 + 0*k**5 - k**5 + (2*k - 1 + 1)*(-2*k**4 + k**4 - k**4) + (-1 - 2 - 7)*(32*k**5 + 13*k**5 + 8*k**5).\nAnswer: -533*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**2\/3 - 42*t = 0. Calculate t.\nAnswer: 0, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 53908?\nAnswer: -53907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*n**4 + 11*n**4 + 2*n**3 - 3*n**3 - 2*n**2 + 0*n**3 to i*n**2 + p*n**3 + h + q*n**4 + s*n and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 20. Let y = 118 + t. List the prime factors of y.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -204*p - 6711. Determine l(-33).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -3*o**5\/20 + 107*o**4\/8 + 18*o**3 - 106*o**2. Factor y(f).\nAnswer: -3*(f - 36)*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q. Let v(s) = 2*s - 472. What is k(v(j))?\nAnswer: -4*j + 944","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-4))\/(7\/(-70)). Let c = x - 7. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1584\/55)\/(-8) - 6\/(-2)*1. Let r = 0.14 + -1.54. Which is the biggest value? (a) -2 (b) r (c) l (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119567432?\nAnswer: 2, 23, 157, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 1 - 4 - 5*j + 4 + 4*j. Let w(m) = -5*m - 12. Let n(v) = -w(v) + 3*x(v). Let q be n(5). Calculate the highest common divisor of q and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1033, 1041, 1049?\n\"Answer: 8*b + 1025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - (23 + -31)) + 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16927, -33862, -50797, -67732, -84667, -101602?\n\"Answer: -16935*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14602 and 392.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b + 24*b = -68 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*w + 65*w - 99*w.\nAnswer: 25*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h - 5. Let y be (10\/4)\/((-1)\/2). Let a(c) = 4*c + 3*c + 6 - 5*c. Let m be a(y). Calculate s(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 1, -3, 1\/4, 0.3, -2.\nAnswer: -3, -2, 0.03, 1\/4, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.8? (a) -5 (b) -426 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 193841\/1028790 - 119\/1035. What is the common denominator of -67\/639 and i?\nAnswer: 8946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0042452 rounded to 5 decimal places?\nAnswer: 0.00425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*d - 2652 = -26219 + 3983 for d.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*v + 2*w - 4*w, v - 13 = 3*w. What is the third derivative of 3*h**4 + 2*h**v + h**2 - h**4 + 0*h**2 wrt h?\nAnswer: 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -13 - (2 - (4 - 12))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1114 = 84*m - 5690. Solve -m = -21*l - 6*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 9, -5 in decreasing order.\nAnswer: 9, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 784 - 780 - (-2 - (19 - -2)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4\/3 - x**2 + 13\/3*x**3 - 16\/3*x - 4\/3*x**4 = 0.\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) -61 (b) -1 (c) 0.038802\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 15*a**2 + 60*a + 428. Calculate k(-13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - i + 20 + 8 = 9, 2*n = 5*i - 15 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3404 - -4188. What is the least common multiple of 16 and q?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 5*d + 20, -6*d + 11*d = -3*w - 7 - 13 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3716784506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2)**48*((p*(p*p**(3\/4))\/p)\/p)**8)**(1\/27) assuming p is positive.\nAnswer: p**(34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 666541 to the nearest integer?\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.29? (a) -2 (b) 2\/7 (c) 1\/6 (d) -4 (e) 137\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51712 divided by -16.\nAnswer: -3232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 352*p - 1065. Give h(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 144160 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkk. What is prob of sequence kkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-4)*(17732\/558)\/(-13)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 2:09 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) -4 (b) -6\/43 (c) -0.1 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 o when three letters picked without replacement from jyjyooyoo.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 12 + 6 - (0 - 10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2 = -2*w + 20, 3*m - 13 = -w. Let l = -18 + 98. Calculate the greatest common factor of w and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 1001110110110101110?\nAnswer: -1001110110110101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 7 = -3, -2*c = -4*m - 17130. Suppose -3*t = -c + 3286. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/411 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 1)*(1 - 1 - 1)*(9*c**2 + 12*c**2 + 10*c**2)*(28*c**2 - 5*c**2 + 14*c**2) to t*c**4 + w*c**2 + g*c**3 + b + z*c and give t.\nAnswer: -2294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -326808 and 442.\nAnswer: -144449136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1075 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3*j**4 - 1 + j**4 + (-2*j**3 - 2*j**3 + 6*j**3)*(2*j - 3 + 3).\nAnswer: 2*j**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1855 and 4118485.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/25*0 - -25. Let o(w) = w**2 - 13*w - 12*w + f*w. Let h(m) = 1 - 1 + 8*m**2. What is h(o(y))?\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1456*x**3 - 8*x**2 + 3*x**2 + 3*x**2 + 4*x**2.\nAnswer: 1456*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 15, -9153 = -3*j - 2*v + 5*v. What is the hundreds digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 1 + -14 + 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4\/8 + 23*p**3\/4 + 60*p**2 - 144*p = 0 for p.\nAnswer: -24, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.54 + -48977145.\nAnswer: -48977149.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -326, -561, -832, -1151, -1530?\nAnswer: -1981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 49?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307351 - 4*m**2 - 307351 - 16*m**2 + 7*m.\nAnswer: -20*m**2 + 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 g, and 1 h when four letters picked without replacement from jghjgghjgggj?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19972121137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41144 - 4?\nAnswer: 41140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 13. Let f be n(-12). Let k be (66\/10)\/3 - f\/(-5). Let c(b) = -1 - k*b - 4 + 3*b**2 + 3 + b**3. Give c(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77423150 divided by -15484630.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/13)*t)\/t**6*(t\/t**1)**(-4\/29)*((t\/(((t*t**(1\/5))\/t*t)\/t*t))\/t**(-4))\/(t**(-1)*t)**(1\/9) assuming t is positive.\nAnswer: t**(-23\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**6\/120 + 29*j**5\/60 + 5*j**4\/4 + 9*j**3 + 108*j**2. Give o(-28).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gffgfegg. Give prob of picking 1 e and 2 g.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593773497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)*l\/(l\/(l*l*l**(4\/3)*l))*(l**1\/l)**(1\/2))**(-25))**39 assuming l is positive.\nAnswer: l**(-3250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.4, 0.3, -1\/4 in increasing order.\nAnswer: -0.4, -1\/4, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3064608159833 from 0.06.\nAnswer: -3064608159832.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 238121004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3209 and 483.3?\nAnswer: 155.09097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1786 bigger than -1785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.0016 - 3. Round r to four dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 90.312 - -36.9. Let t = -127 + c. What is t rounded to 2 dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((24\/(-27))\/((-32)\/48))\/4. Let d = -0.08 + 5.08. Let g = -0.1 + 1.1. Which is the nearest to g? (a) 3 (b) w (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*c, 5*c = 4*a - 0*c - 38. Suppose -9*v = -5*v - a. Suppose -f = -v*f + 22. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 + 22126*m + 110580.\nAnswer: 2*(m + 5)*(m + 11058)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 4*q - q)*(q**2 + 0*q**2 + 0*q**2) - 3 - 2*q**3 + 3 - 3*q**3 - 182500*q + 507 + 182500*q.\nAnswer: -7*q**3 + 507","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2346 - 2344. Let d = -603 + 994. Find the second derivative of 5*v + 4*v**g + d - 391 wrt v.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, m: 15}. What is prob of picking 3 t and 1 m?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(2\/9))\/a**(-1\/2))**(4\/31)\/(((a*a**(-7))\/a)\/(a\/(a\/(a\/(a**3*a)))))**(8\/7) assuming a is positive.\nAnswer: a**(9250\/1953)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 w when two letters picked without replacement from sow.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {q: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -17, -5, 2 in decreasing order.\nAnswer: 4, 2, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 32 = -4*q, 2*t + t = -4*q + 4. Let d be ((-16)\/12)\/(-6*1). Put q, d, -4 in decreasing order.\nAnswer: q, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, n: 12}. Give prob of picking 1 n and 2 c.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(-12)*(-90)\/40\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 10. Let v be a(-6). Let o be -1*(1 + 7)\/v. Suppose 4*h = 3*i - 13, -o*i = 4*h + 2 - 4. Solve -g = 2*g - i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**4\/5 + 1991*w**3\/5 - 15482*w**2 - 2633800*w = 0?\nAnswer: -2026, -65, 0, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/2 + 21*q**2\/2.\nAnswer: -q**2*(q - 21)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13725328 a multiple of 454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j\/(j*j**(1\/3))*j)\/j))**(1\/2)*j**3*j\/j**0*j assuming j is positive.\nAnswer: j**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - -4. Suppose 0 = -3*x + 4*r + 19 - d, 3*x = -3*r + 18. Is 7\/2 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, g: 3, a: 5}. What is prob of picking 2 a?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7141?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 divided by -13495?\nAnswer: -86\/13495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 - w**2 - w + 6. Let n be k(3). Let v = 236 + n. Suppose 0 = 3*m + 2*m - 80. What is the highest common divisor of v and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -374687105 and -0.06.\nAnswer: -374687105.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 2016.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 457706 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 639 - 639 + 26424*d - 13200*d - 13217*d.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/255, -3, -0.0682 in decreasing order.\nAnswer: 2\/255, -0.0682, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -30 and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7.2872 greater than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31881 and 0.05.\nAnswer: 1594.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 - 6*l - 37. What is the hundreds digit of x(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(30)\/(sqrt(10) - sqrt(10)*3) - sqrt(3)).\nAnswer: -3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 + 44 - (10 + (-93 - -17))) + 19?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -234 + 242253230?\nAnswer: 242252552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 7) to base 8\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*t**2 + 96\/7 - 92\/7*t.\nAnswer: -4*(t - 1)*(t + 24)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (-2*6 + 6). Suppose 20*z - 9248 = a*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 31. Let q = -125 - -132. Let x be m(q). Solve 5*n - 38 = -x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 20, 10*y = 2*y + 1349*c - 1351*c - 174 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 635\/43 >= 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrfw when four letters picked without replacement from {r: 4, w: 5, f: 6}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 313*r**4 - 22*r - 8 - 18*r + 18*r + 23*r in the form d*r**2 + n*r**3 + y*r**4 + v + k*r and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18520 and 423645?\nAnswer: 3389160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 3580?\nAnswer: 3580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 - 11*l**2 + 10*l - 21. Suppose -4*f = -3*y - 2*y - 45, -y = 2*f - 5. Let o be s(f). Sort 2, o, -5, -4.\nAnswer: -5, -4, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 76, -12, 0.1, -0.1, 4\/1035?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 + 419. Suppose -1755 = -5*j - y. Is j a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5733 and 962.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -645237 + -117182.\nAnswer: -762419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0*v*v**(2\/17))\/(v\/v**(1\/18)*((v*v**0)\/v)\/v) assuming v is positive.\nAnswer: v**(359\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2))*-1 - ((sqrt(18)*5)**2 + sqrt(2)) - (0 + sqrt(2)*1 - -1*sqrt(72))**2.\nAnswer: -549 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6.7 * -701\nAnswer: 4696.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56969\/214 or 266?\nAnswer: 266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -978*b**4 + b**3 + 27*b**2 + 186*b?\nAnswer: -23472*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 15, -13, -93, -249, -505, -885, -1413, -2113?\n\"Answer: -4*i**3 - 2*i**2 + 6*i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11364 rounded to 3 decimal places?\nAnswer: 0.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.17569 rounded to 1 dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1728\/21 + 2\/21*-3. Let q(t) = 5*t. Let j be q(16). Which is greater: c or j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 6 = -8*r, 2*r - 1830 = -w. What is the least common multiple of w and 6?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1701237 divided by -469.\nAnswer: -1701237\/469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 5*l = -23, -22*l = 3*d - 373 + 210 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*c + 7 = -2*z, -4 = 5*z + c. Let l = -2 - z. What is the closest to 0.2 in -0.2, -0.3, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.964 - -1.864. Which is the closest to w? (a) 0 (b) -44 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17568 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 285 and 210?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(242)*2 - sqrt(242)) - sqrt(242))*-5.\nAnswer: -55*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 12 = 3*c. Let o(u) be the third derivative of -u**4\/24 - 2*u**3 + 12*u**2. What is o(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.078 less than -0.52?\nAnswer: -0.442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 90*n + 289. What is t(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**2 - 1. Let s be j(2). Suppose -h = 3*q + s, q = h - 4*h - 17. Let b = 7 + q. Solve 2*n = -3*d - 10, -2*n + 3*n + b = 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + 3. Let h = -8 - -8. Suppose -5*d - 4*r + 15 = -h*r, 3*d = 3*r + a. Solve -8*o = -d*o + 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15164157*i*l*q - 18655*i*l - 84 wrt q.\nAnswer: -15164157*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -6*k + 6*k + 10 - 5*k - 4*k + k**2. Determine j(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, s: 2, o: 1, k: 1}. Give prob of sequence kv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 22*i + 24 = 0. Suppose -4*d = -8, i*p - 24*d - 19 = -26*d. Solve -6 = -5*n + u - 25, p*u + 17 = -3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-231)\/(-28)*(-25288)\/(-87) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -39, -9, 1\/18 in descending order.\nAnswer: 1\/18, 0, -9, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 35.06 and -0.5?\nAnswer: 35.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0. Suppose t - 36 - 4 = s. Calculate the remainder when t is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*x - x. Let i be (1 - 0 - 2) + 5. Let o(g) = 5 + i*g - 1 - 5*g - 1. Give o(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16\/22019 or 0?\nAnswer: -16\/22019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 times 1078?\nAnswer: -194.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 2, -390 in increasing order.\nAnswer: -390, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*((-23)\/(-4) + -4). Suppose -84 = -j + l*j. Let s = 19 + j. Calculate the least common multiple of 3 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 9:56 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**2 + 7826*k - 15311569 = 0.\nAnswer: 3913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*c = 0, -5*i = -c - 1710. Suppose 9*f + 0*f = i. What is the remainder when 379 is divided by f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31414 and 0.2.\nAnswer: -6282.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 228037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72 - -50. Let n be (-8)\/(-4) - 2 - h. Suppose 2*x + 4*x**2 + n*x**3 - 8*x**2 - 20*x**3 = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 10:01 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 294055262 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*i + 8*i - 5*i)*(21 - 8 - 25) - 5 + 2*i + 5)*(-1 - 1 + 0).\nAnswer: 212*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -27*w**3 - 10*w - 94. What are the prime factors of d(-7)?\nAnswer: 3, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 38*3\/(-144) - -2. Let s = -5\/6 + d. Put 0.3, s, -4 in decreasing order.\nAnswer: s, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62869300 to the nearest one hundred thousand.\nAnswer: -62900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -0*p - 5*p - 21, 4*j - 15 = -p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 160571 + -108087. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -73, -106, -151, -214, -301, -418?\n\"Answer: -b**3 - 26*b - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33053 (base 8) to base 7.\nAnswer: -55300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*y - 2*y - y + 4*y - y - 5*y + (2 + 2*y - 2)*(1 + 6 - 5) + 7 - 7 - 5*y)*(3 - y**2 - 30*y + 57*y - 26*y).\nAnswer: -3*y**3 + 3*y**2 + 9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 0 - 1)*(2*j + 4*j - 5*j) + 243*j - 537 + 537)*(-76 + 121 - 137) to l + a*j and give a.\nAnswer: -22264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5788.\nAnswer: 2, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 21\/51500?\nAnswer: 21\/51500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1078 - 1078.3. Let s = -4 - -5.2. Which is smaller: j or s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -258 + 273.1. Let k = -15.0999899 + n. What is k rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 129 + -110 + (-30 - 2) + 63 + 2\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-13 + -2) - (-2)\/(-2). Let w = 18 + -13. Which is the closest to -0.1? (a) s (b) w (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/(-2))\/(1\/2). Let s = -1514.8 + 1514. Which is the biggest value? (a) s (b) 3 (c) g (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r - 6. Let w(z) = -z - 2. Suppose 4*q = 3*q + 5. Suppose 7 = -q*s - 8. Let j(x) = s*u(x) + 8*w(x). Find the first derivative of j(i) wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -354 - -354.0263. What is v rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.00933394 + 0.2011.\nAnswer: 0.21043394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -4 + -4 + -1 + (2 + -4 - -11).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 + 21 - -7)*11. What is the greatest common divisor of 147 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28734 by 1.\nAnswer: -28734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -6*f, 40 = 5*p + f. What is the greatest common factor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 109538 divided by -405\nAnswer: -109538\/405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 6 - (56 + -31) - (-24 + 15)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6*(24\/10)\/((320\/600)\/2)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**8\/168 - 52*z**7\/105 - 5*z**6\/6 + 26*z**5\/15 + 17*z**4\/4 - 2*z**2 + 4*z + 95. Let j(t) = 0. Calculate t.\nAnswer: -51, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 12:46 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - 6)*(457 - 921 + 460)*(-1 - 2 + 2)*(-v + 2*v + 3*v) to l + y*v and give y.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -82373, -82849, -83335, -83837, -84361, -84913, -85499, -86125?\n\"Answer: -d**3 + d**2 - 472*d - 81901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -3, 0, -2, -1.\nAnswer: -14, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2728 + -2726. Solve 8 = 2*q - 3*b, -4*q - 16 = -0*q + c*b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3380 by 260.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - d**2 + 2*d + 1. Let x be a(0). Let q be (x - (8 + -4))*-15. Suppose 0 = 3*f - 2*b - q, 5*f - 50 = -11*b + 6*b. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2318418 + 197.\nAnswer: 2318615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.932308 decades in months?\nAnswer: 591.87696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 361*h**5\/10 - 19*h**4\/3 + 4*h**3\/9 + 118*h**2. Factor n(b).\nAnswer: 2*(57*b - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7997155460 to the power of 1\/2, to the nearest integer?\nAnswer: 89427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 7. Let d be u(5). Let j = 15 - d. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2, 80, 292, 704, 1382?\n\"Answer: 11*r**3 + r**2 - 2*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 11:47 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 593 - 593. What is the fourth biggest value in 0.2, i, -2, 1\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*w + 4 = -194*w + 9238. Is 107 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 18*f - 17. Let h be y(17). Suppose 3*a = -5*a - h*a. Suppose a = 2*g - 28756 - 119244. What is g rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 + -9 - -46) + -4 + (1 - (2 - 6))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 2. Let g be h(-3). Let l = -0.106 + 0.206. What is the closest to l in -5, 2\/3, g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -287998 (base 11) to base 3\nAnswer: -211211221011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/60*-2)\/((-1)\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**3 - 64*n**2 - 28*n + 99. Determine f(33).\nAnswer: 1353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3*l**5\/5 + 144*l**4\/5 + 3*l**3\/5 - 36918*l**2\/5 + 46752*l - 196992\/5 = 0.\nAnswer: -38, -27, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005714 to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - 30 - 16 - 53.\nAnswer: n - 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + v + 0 = -1, -4*r - 3*v = -7. Let n be r - -2 - 2 - 7. Let x be 484\/n*6\/(-4). Calculate the greatest common factor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - -9) + (-27 - -27 - (1 + -1))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 1. Let m = 117 + -115. Let h(n) = -3*n**5 + 3*n**2 + 21. Let p(f) = m*h(f) - 42*b(f). What is the third derivative of p(l) wrt l?\nAnswer: -360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-390 - -468) + -16 + 1 + 1 + -1.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4022 = 14*x - 0*x - 61708. Are 4695 and x equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 3 - 5. Solve 0 = -4*g + 2*q - 14, -4*g - 2*q + 8 = a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255 = -7*s + 262. Let j(y) = -16*y**2 - y. Give j(s).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 4*f**5\/11 + 134*f**4\/11 - 4310*f**3\/11 + 22650*f**2\/11 - 2250*f = 0.\nAnswer: -55, 0, 3\/2, 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1734071369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -31*a - 24*a. Solve a = -2*w - 2, -2 = -3*c - 0*w - w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 2. Let z be w\/(9\/(-15))*-1. Suppose -2*c = -c - z. Solve -3*b - 2*b = 3*i - 19, c = 5*i - 5*b for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41397 greater than 39828?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -203\/33660 and 149\/448800.\nAnswer: 1346400","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 4321579067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1747\/126725 - -6\/925. Let x = 1228\/685 - a. Factor -x - 6\/5*c - 1\/5*c**2.\nAnswer: -(c + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*r = -73*r + 72 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 2\/9 (b) 3 (c) -3\/5 (d) -3\/4 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 13*u**2 - u - 17. Let b be c(-13). Let v be (-4 - -2) + 1564 + b. List the prime factors of 2\/(-5) + v\/95.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 10:13 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 8*q + 6. Let k be g(-9). Let n(a) = -316*a**3 - 3*a**2 + 2*a + 1. Let r be n(k). Round r to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*((-4*(sqrt(72)*-1 - sqrt(72)) - sqrt(72)) + -3*1*sqrt(72)))\/((sqrt(112)\/sqrt(4)*-1)\/(-4*sqrt(28) - sqrt(7))))**2.\nAnswer: 93312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -307919*a**3 - 2007527*a?\nAnswer: -1847514*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a decade in years?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 370 and 296.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45644*b - 45815*b = 1026 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -12*t**2 + 2\/5*t**5 + 8*t + 54 - 3*t**4 + 26\/3*t**3. Let b(z) = 0. What is z?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3\/11 + 8*u**2\/11 - 2*u\/11 - 12\/11 = 0 for u.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18213 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/9 + (110\/30 - 18).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -3*z - 2, -2*z - 3*g - 3 = 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*i + 168 - 168)*(-1 - 2*i + 5*i - i**2 + 0*i).\nAnswer: -35*i**3 + 105*i**2 - 35*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/5*(63\/165)\/7.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 1. Let j(m) = 5*m + 6. Let d(l) = -9*l - 12. Let z(f) = -4*d(f) - 7*j(f). Give z(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1693319\/120 - -14111. Let n(v) be the third derivative of -z*v**4 + 0*v + 1\/600*v**6 + 0 - 1\/300*v**5 - 26*v**2 + 1\/30*v**3. Let n(c) = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**8\/l)**(-2\/159))**(1\/8) assuming l is positive.\nAnswer: l**(-7\/636)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -7*w**2 - 2. Let v(m) = -15*m**2 - 4. Suppose 0 = 3*n + 12. Let j be (-28)\/(-252) + 80\/9. Let b(i) = j*q(i) + n*v(i). Let g(y) = -y. Give g(b(z)).\nAnswer: 3*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/12 and 127\/246.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s - 10. Let v = 25 + -15. Let f be g(v). Suppose 0*x + 2*x - 8 = f. Solve 0*d = 5*d - 3*j + 11, -4*j = -2*d + x for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z - 4*z = 3*j - 26, -5*z - 15 = -4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, c: 1, f: 3, d: 1, r: 1}. What is prob of picking 3 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from llj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 minus -1.100826?\nAnswer: 1.070826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 4*n - 46, -n = -2*a - 3*a + 54. Solve g + 4*g + a = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7*o**3 - 3*o**2 - 6*o + 3. Let u(h) = 6*h**3 - 2*h**2 - 5*h + 3. Give 3*g(x) - 4*u(x).\nAnswer: -3*x**3 - x**2 + 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -2*j + 54, -2*j - 60 = -5*f - 7*j. Let u be (0 + 1 - -4) + (-10)\/f. Calculate the common denominator of (688\/64)\/(u\/(-1))*-1 and -23\/30.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/15)*z*z*z*((z\/(z*z**(1\/4))*z)\/z)\/z)**(8\/5)\/(z**(-3)*z**(2\/13))**(27\/4) assuming z is positive.\nAnswer: z**(85013\/3900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 - -53. Solve 2*q + 0*q + 3*j = a, q = 3*j - 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 2*s**2 + 3*s - 2. Let a be h(3). Suppose -4*k + 3*j = -11 - 8, -5*k - 4*j + a = 0. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4 + s - s**2 + 4*s + s + 2*s. Give l(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/8 and -157\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 108, 1.\nAnswer: -3, 1, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 1 - 1)*(1 + 0 - 5 + (-1 + 4 - 4)*(-2 - 1 + 2) - 4 + 1 + 4 - 1 - 3 + 2) - 4*d + 3*d + 22 - 21.\nAnswer: 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 2. Let j be 44\/10 - 3\/z. Suppose d = -j + 13. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*a**2 - 10*a**2 - 1 + 25 + 10 wrt a.\nAnswer: -14*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -n - 10, 5*s + 2*n = 227. Let q be (8 - (7 - -2)) + s\/51. Which is bigger: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((175\/(-14))\/5)\/(2\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvmzmevvmmvffmq. What is prob of sequence zv?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eseeeeeese. What is prob of picking 2 e?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(1 + -4) - (1 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/((-10)\/8)*-20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82815?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -199697.\nAnswer: -798788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/6 - 10\/6. Let d be 80\/(-2)*q\/4. Let o = d + -17. Solve l - 5 = a, -2*a - 7 = -a - o*l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11, -30, -65, -122, -207, -326, -485, -690?\n\"Answer: -b**3 - 2*b**2 - 6*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 279985707?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024220 divided by 415?\nAnswer: 2468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2\/15 + 710*r\/3 + 3544\/5 = 0.\nAnswer: -1772, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r - 3. Let v(f) = 4. Let p(z) = -2*s(z) - 3*v(z). Let h be p(6). Solve -b = h - 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 554 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 25*k. Let j(i) = -64543*i. Give 2451*b(t) + j(t).\nAnswer: -3268*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1080 and 1110?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 150*a - 77*a + 7*a**3 + 230*a as k*a**2 + s + o*a**3 + n*a and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 5:34 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00101010596 to 7 dps.\nAnswer: 0.0010101","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -26*m**2 + 11*m + 14. Let z(y) = 9*y**2 - 4*y - 5. What is 6*j(q) + 17*z(q)?\nAnswer: -3*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 45?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -27 - 0. Calculate the remainder when 17 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21726 - -0.059.\nAnswer: -21725.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**3 + 10*s**2 - 17*s + 13. Let o(k) = k**3 - 11*k**2 + 16*k - 12. Let c(t) = 2*j(t) + 3*o(t). What are the prime factors of c(-15)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20, 1, 48, 133, 268, 465, 736, 1093?\n\"Answer: 2*h**3 + h**2 + 4*h - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g**2 + 2*g - 1. Let k(a) = -a**2. Let w(j) = -i(j) + 6*k(j). Let h be w(4). Solve -6 = -2*y - r, -4*y - h*r = -4*r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5 + 1301159*a**4 - 5204646*a**3 + 7806974*a**2 - 5204651*a + 1301163.\nAnswer: (a - 1)**4*(a + 1301163)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -317.2 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 1559*z**2 - 330*z**2 + 1 + 302*z**2. Let v(o) = o**2. Give v(u(c)).\nAnswer: 2343961*c**4 + 3062*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 20, 18 = -2*v + j - 3*j. Let z be 1\/v - (-100)\/16. Suppose -o - 3*t = -z*t + 5, 4*t - 20 = -2*o. Calculate the least common multiple of 16 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10255 + 10472. What is the third smallest value in 3, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 166 - 220.8. Let j = -60.3 + c. Round j to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 6:09 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/6*(-300)\/(-50).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -11. Suppose -m + 3*m = 12. Suppose c*s + 3*o = 8, 5 = s + 3*o - m. Is s greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**7\/504 + u**6\/144 + u**4\/8 - 11*u**3\/6 + 4*u**2 - 3. Let g(x) be the second derivative of y(x). Factor g(r).\nAnswer: -5*r*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -55551 and -55551 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9 + 0)*10\/(-15). Let r be 1\/(-4) + o\/(-56). Let m = 5605 - 16817\/3. Which is the third smallest value? (a) r (b) 1\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -45*y - 133. Give l(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(20\/(-12))*26\/(-39). What is the second derivative of 122*d**2 + 0 - 31*d**3 + 3*d + 17*d - 120*d**2 - p wrt d?\nAnswer: -186*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 107\/195 - -2\/39. Let u = -3 + 8. Which is the closest to -1\/2? (a) 0.3 (b) u (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -18619392411161.\nAnswer: -18619392411159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000074783 to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 7 = -4*t + 5*t, 4*n = 2*t + 12. Suppose -4 + n = l. Let f be 3 + (-3132)\/(l\/(-1)) - 3. Round f to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-39)\/26*118\/3. Let p = s - -63. Suppose l - p = 5*l, 4*o + 4*l - 20 = 0. Which is smaller: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 1548 = 493. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002249107 rounded to 6 decimal places?\nAnswer: -0.000225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 5, 7, -8, -37 in decreasing order.\nAnswer: 7, 5, 1, -1, -8, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -19. Suppose 48616 = 4*p - 4*t, 3*p - x*t - 33496 = 2963. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/2 or 3\/10270786?\nAnswer: 3\/10270786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 128*n**2 + 874*n - 2625. Determine t(3).\nAnswer: 1149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/1521 + 47135\/12168. Which is smaller: z or 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 42*v**2 - 536*v + 14. Let x be k(13). Let m be 4\/(40\/18 + -2). Calculate the highest common divisor of x and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -631, 2 in increasing order.\nAnswer: -631, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10022 + 1001222?\nAnswer: 1012021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1780 is divided by 355.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 1) + 4 - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, g: 4, z: 3, t: 2}. Give prob of sequence tz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -3. Let h(k) = -k**3 + 6*k**2 - 5*k - 6. Calculate h(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*a**5 - 2*a**2*g - a**2 - a + g - 6 wrt a?\nAnswer: -160*a**3 - 4*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or 25\/28649?\nAnswer: 25\/28649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t - 2. Let w be x(-3). Let g(c) = w - 2 + 0*c - c. Let p(q) = 2*q + 6. Let i(d) = 10*d + 31. Let v(j) = 4*i(j) - 22*p(j). Determine 6*g(h) - v(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0.2 (b) -22 (c) -2\/25 (d) 5\/2 (e) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (0 - 0)\/(44\/11)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 1258584756*r + 132002965669631628.\nAnswer: 3*(r + 209764126)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 339323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1442386 * -7\nAnswer: 10096702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -97*x - 51 + 1118. Solve 5*c + 7 = 2*u, -2*c = -3*c + 2*u - x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 9*o - 2*o - 5*o - 6*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 78101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (r - r - 2*r**3)*(244*r + 248*r - 507*r) + 3*r**4 + r**3 + 3*r - 4*r + 0*r as n*r + b*r**2 + a + l*r**3 + p*r**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*z + 11*z + 648. What is the remainder when z is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**2 - 30*k - 107. Determine x(-7).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11553849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -5. Let g be (-38)\/(-8) - (-1)\/q. Let f(s) = -g*s - 6*s**2 + 6*s - 2 - 2. Let r(u) = -u**2 - 1. Calculate -f(v) + 4*r(v).\nAnswer: 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10986060.281 and -0.3.\nAnswer: -10986060.581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 3*s + 1. Let c(m) = 16*m - 163. Let a be c(13). Let u be (4\/(-10))\/((-22 - -13)\/a). Calculate h(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -440.53 to the nearest ten.\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/6839449 and 20\/913.\nAnswer: 75233939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5204, 2523, 10230, 17923, 25608?\nAnswer: 33291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 4*k + 0*k)*(3 - 2 + 5 - 1 + 1 - 1 + (-1 + 0 + 2)*(-1 - 2 + 2) + 2 + 1 - 2).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/21581952 and 139\/2041536?\nAnswer: 151073664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {b: 1, y: 4, e: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 0*j**2 - 5*j - 7*j**2 - 2 + 4*j - 6*j + j**3. Let r be u(8). What is the third derivative of 2*n**6 + n**2 + n**6 - 4*n**r + 15*n**6 wrt n?\nAnswer: 1680*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29 + 16 - 8)*(b + b - 3*b) in the form p*b + r and give p.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -14.8. Suppose -j = -3*r + 3, 4*r + 3*j - 4 = 8*j. Which is the second smallest value? (a) -1 (b) w (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 980*u - 10775. Let b be a(11). What is the second smallest value in 1\/7, b, -5\/2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = h + 8610. Let q = h + 856. Sort 80, q, 3 in decreasing order.\nAnswer: 80, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -5*s**4\/8 - 14*s**3\/3 + 173*s**2. What is the remainder when c(-7) is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6259.06 to the nearest 10.\nAnswer: -6260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.102 + -2.548. Let n = 2.888 + d. Let x = n - 0.11. What is x rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*c**2*i**2*l - 57*c**2*i**2 + 2*c**2*i - i**2*l - 2*l wrt l?\nAnswer: -4*c**2*i**2 - i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 94*o**5\/5 + o**4\/2 - 5*o**3 - 13*o**2\/2 + 366. What is the third derivative of g(p) wrt p?\nAnswer: 2256*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -11*b**4 + 20*b**3 + 180*b**2 + 592*b + 701. Let f(q) = 59*q**4 - 99*q**3 - 900*q**2 - 2960*q - 3504. Let a(m) = 3*f(m) + 16*y(m). Solve a(r) = 0.\nAnswer: -11, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 6. Suppose -16 = -g*s + 3*s. What is the remainder when s is divided by (-32)\/(-6) + 4\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15382768 divided by 23.\nAnswer: -668816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/1 - 10 - 3*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*u + 12 - 54 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-27) - 2*(5 - 399\/81)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374\/(-102)*(-392)\/(-616)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 15*f**2 - 800*f + 170. Let o(g) = -g**2 + 57*g - 12. Let y(p) = 6*d(p) + 85*o(p). Determine b, given that y(b) = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 2*w, -4*w = -5*d - 30. Does 17 divide (-549)\/(-6)*(-4)\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1.5, -4, 0, -24 in descending order.\nAnswer: 3, 1.5, 0, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*y + 32 = 82*y + 4*c, -5*y + 20 = 4*c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 7*r - 18 + 18. Let i(d) = 112*d. Let b(w) = 3*i(w) - 49*z(w). Let y(t) = -t**2. Calculate y(b(l)).\nAnswer: -49*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3208 is divided by 384.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -1 + 0 - 3*i + 2*i + 0. Let v(k) = -k**2 - 3*k - 21. Let o(w) = -2*h(w) + v(w). Calculate o(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/1133 and -52\/1815?\nAnswer: 186945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -178 + 178.0314. Let x = q + 1.9686. Let s = 6 + -6.4. Which is the nearest to x? (a) 3\/4 (b) s (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/18 + -3)\/(-5 + (-35 - (-118)\/3)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 4*u + 208, -4*n = -3*n + 5*u + 52. Let j = 29 - n. What is the greatest common factor of j and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -5. Let r = 0.9 + k. Let y = -1.9 + r. Which is the biggest value? (a) -0.4 (b) y (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 755 is divided by 90.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 22*w. Let h(o) = 1435*o. Determine u(h(f)).\nAnswer: 31570*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1172756*y**3 + 1634552.\nAnswer: 3518268*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 479*f. Let h(m) = -183439*m. Determine h(s(o)).\nAnswer: -87867281*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62305 and 255?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 139*s**2 + 5*s + 137. Is j(22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 543264 is divided by 11085.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z*z**(-2\/11)))\/z*z*z*z**(-5\/3)*((z*z**(1\/2))\/z)**(2\/45))\/((z**(-2\/3))**(-19\/4)\/(((z*((z*z**3)\/z*z)\/z)\/z)\/z**(-2\/11))) assuming z is positive.\nAnswer: z**(-1433\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 783491721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 308\/5 - 4\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1425\/(-50) - -27 - (-1 + 6\/20).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*k - 4*k + 2*k**4 - k**3 + k**4 - 5*k as c*k**2 + r + v*k**3 + d*k + l*k**4 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 1)*(0*i + 2*i + 0*i) + 8 + 47*i - 8 + (1 - 1 - 1)*(24*i - 2*i + 3*i) - 4*i + 3*i + 5*i in the form b + s*i and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + -1 - 1 - -4. Suppose 5*v = -2*i + 45 + 91, 8 = z*v. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3356*q - 817*q - 824*q - 911*q - 830*q.\nAnswer: -26*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 278.0157 + -278. Let p = -0.2247 + g. Round p to two dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**2 - 1\/3*a**3 + 0 - 7*a. Determine k(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 2*o + 3*j - 6, -j = -3*o - 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -79*w + 10. What is the biggest value in 3, 12, 0.4, w?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -1\/7, 2, 3, 28\/11, -152\/7 in descending order.\nAnswer: 3, 28\/11, 2, 1\/3, -1\/7, -152\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3748362 * -0.3\nAnswer: 1124508.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 21*p + 7. Let f be w(10). Do -103 and f have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjgjjgjeejjfjjgcj. What is prob of picking 1 e and 1 j?\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(-2*k**2 - 2*k**2 + 3*k**2) + 38293*k**2 - 1 - 19253*k**2 + 4*k - 19197*k**2.\nAnswer: -155*k**2 + 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1171*u + 1766 - 13476 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (103 - 50)) + 74.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 2*d**2 + 3*d**2 + 5*d**2. Let i(m) = -7*m**2 + 6*m**2 - 2*m + 2*m. Determine h(i(o)).\nAnswer: 11*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**5\/5 + 26*t**4 + 244*t**3\/5 - 104*t**2 - 1008*t\/5 = 0. What is t?\nAnswer: -63, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1893 - -1326. Round d to the nearest ten.\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 - 43. Calculate the greatest common factor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2343564.\nAnswer: 2, 3, 65099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -7. Let y = -36 + 39. Suppose -p + 44 = 3*v, y*v + 292 = 5*p - 0*v. What is the highest common divisor of d and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*z**2 - 28*z**2 + 15*z**2)*(5 - 4 - 2)*(0*z**2 - 3*z**2 + 5*z**2 - 4 + 4 + z**2 - 2*z**2 + 4*z**2 - 3*z**2 + (3 - z - 3)*(-2*z - 1 + 1)).\nAnswer: 148*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1341775.\nAnswer: 5, 191, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 11:01 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 1.4, 724771, 1\/3?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*t + 37198 = -222*t + 862*t - 12418 for t.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -612 - 3?\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 247*v - 249*v + 25, -4*z = -4*v + 20 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1041 or 4163?\nAnswer: 4163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -63*d + 3. List the prime factors of h(-1).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - q - 3, -2*g + 2 = -2*q + q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -466, -462, -456, -448, -438?\nAnswer: -426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -76*m**2. Let r(z) = -1285*z. Calculate r(k(i)).\nAnswer: 97660*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.132 - -92.132. Let v = n + -328. Let m = v - -222.1. What is m rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3 - 5 - 1 - 4025*b. Let w be r(-2). Let n = w - 80549\/10. What is the common denominator of n and -31\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (0 - 0))*60\/(-16)*1212\/909\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(2*k**4 - 4*k**4 + 0*k**4) + 39529*k**3 - 39529*k**3 - 3508*k**4.\nAnswer: -3510*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 97989.65 micrograms?\nAnswer: 97989650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160619 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 13, u: 6}. What is prob of sequence fffu?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -679 - -681. Solve -3*x - 3*t + 2*t - 8 = 0, -3*x - 7 = o*t for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/10 + 36\/10. Suppose 4*y + s = 16. Suppose 2*d - q - 3*q + 64 = 0, -y*d - 5*q - 129 = 0. What is d rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35044 - -153?\nAnswer: 35241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 10*c**3 + 6*c**2 - 17*c + 4. Let s be w(2). Calculate the greatest common divisor of 1665 and s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 587, -3, 35.\nAnswer: -3, 35, 587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*z + 2*z + 9*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12322 divided by -61.\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(1008))\/(-6*(sqrt(24)*-3)\/sqrt(6)).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 z when four letters picked without replacement from {z: 5, s: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/125 (b) 0.5 (c) 48 (d) 0 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**3 - 3534*h**2 - 16*h - 71?\nAnswer: -6*h - 7068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 369 (base 12) in base 8?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -4*h**3 - 6820*h**2 - 1178576*h - 1171760 = 0.\nAnswer: -1510, -194, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 12. Let k(t) be the first derivative of t**3\/3 - 3*t**2 + 6*t + 13533. Calculate k(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2003 - 1730. Calculate the least common multiple of 1001 and i.\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 10*v + 39 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 119\/10 - 6317\/530. Which is the third smallest value? (a) v (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 297.99999742 - 298. What is p rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*y - 180. Let n be (210\/y)\/(4\/(-18)). Let r be ((-1)\/(-7))\/(n\/49). Which is the nearest to 0.1? (a) -1 (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10a34 (base 15) to base 9.\nAnswer: 80534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -1\/40*z**5 - 1\/24*z**4 + 2*z**2 + 5\/6*z**3 - 1\/180*z**6 + 0 + 0*z. Let a(l) be the first derivative of o(l). Factor a(p).\nAnswer: -(p + 1)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467850 is divided by 155937.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-38)\/(-3) - (-3)\/9. Suppose -j = -3*m + 20. Suppose -5*l = -136 + m. Solve 0 = -2*k + 7*k + l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 566*m - 196*m**2 - 3473*m - 3*m**3 - 164*m**2 wrt m.\nAnswer: -18*m - 720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 47 divided by -314\nAnswer: -47\/314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101000 (base 2) in base 16?\nAnswer: e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/13 in 0.4, 0.1, -14, -2\/69?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -138? (a) 0.5 (b) -0.3 (c) 5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 2*f**3 + 22. Let b(s) = -41*s - 2*s**2 + 41*s. What is b(p(h))?\nAnswer: -72*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -415 smaller than -409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.028 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2. Let u(v) = v + 29. Give u(n(q)).\nAnswer: -q**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o + 1. Let z be w(-3). Let n(d) = -5*d - 4. Let m be n(z). Let v = 26 - m. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*(-5 + 2*(1 + sqrt(112)) + -2 + sqrt(112) + 1)**2)*5.\nAnswer: -960*sqrt(7) + 10225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -7*v - 31. What is t(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1477053, -2954108, -4431163, -5908218, -7385273?\nAnswer: -8862328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m**(-8\/7)*m)\/m*m))**(-10)\/(m*((m**(4\/7)\/m)\/m*m*m)\/m*m**(1\/5)*m) assuming m is positive.\nAnswer: m**(-66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.349756 seconds in hours?\nAnswer: 0.00315271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11750)\/(4\/(-480)*(-6)\/16). What is o rounded to the nearest 100000?\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2 + m**2 - 1 + 1 - m - 5. Let l be q(0). Let s(a) = -22001*a - 3. Let f be s(l). What is f rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-36)*3\/310. Let t = -3681\/155 - b. Find the common denominator of 9\/14 and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -284148 divided by 57.\nAnswer: -94716\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14085 + 24730. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 + 54353354?\nAnswer: 54353333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*n = 68280 - 68904 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -7*b**4 - 7*b**3 + 4*b**2 + 5*b + 5. Let j(v) = -22*v**4 - 22*v**3 + 12*v**2 + 16*v + 16. Let y(t) = 5*j(t) - 16*p(t). Factor y(m).\nAnswer: 2*m**2*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.99 + -3.69. Let i = -13.93 + 14. What is the closest to i in -3, -0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cljzh. Give prob of picking 1 h and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.5959823 - 1782.\nAnswer: -1773.4040177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3830 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlldlydlddllnddldd. Give prob of sequence yn.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9950*n - 18*n**2 - 5 - 9950*n - 35*n**2 to the form c + v*n**2 + i*n and give v.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*-2*(-7)\/(-42).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*z + 2*z - 1781*z**3 - 10725*z**2 + 10*z + 1596*z**2 wrt z?\nAnswer: -10686","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (12 + -8 - 5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*((j\/(j\/j**(-11))*j*j*j)\/j)\/j)\/(j**(-4\/25)\/j)*(j*(j*j**(-10\/7))\/j*j*j)\/(j*j**(-10)) assuming j is positive.\nAnswer: j**(478\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110011111011110 - 0?\nAnswer: -101110011111011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(272\/85))\/((-45)\/(-54))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49006 and 13910?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -2*a + 11\/2*a**2 + 1\/2*a**3 - 33. Let s(m) = -5*m - 17. Calculate 5*s(o) + 8*y(o).\nAnswer: -o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61980058 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 76*v - 75*v. Solve v = -5*j + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*f - 4307 - 337 = 468. Calculate the remainder when 5565 is divided by f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - (-1 + -3)) + (6 - 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2245 + -2229. Let s be 4\/16 - 38\/(-8). Suppose -2*w + 4*w + 5*a - 89 = 0, s*w - 4*a = 140. Calculate the highest common factor of w and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21\/(1890\/348) + (-1)\/(-30)*4. What is the greatest common divisor of 3808 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u - 3*u + 1 + 0)*(-6 + 41 + 0)*(-4 - 5 + 46)*(-1 + 0 - 1) to i*u + r and give i.\nAnswer: 7770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 52 = -2*x, 3*q + 39 = 6*q - 4*x. What is the greatest common factor of q and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*o - 5*g, o + 0*g - 4*g - 5 = 0. Let b(h) = h**2 - 4*h - 5. Calculate b(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242\/9 - 308\/3*j - 8\/9*j**3 + 58\/3*j**2 = 0.\nAnswer: -1\/4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136 and 8024?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**2 + 24*d + 48. Let y(p) = 2*p. Let k(j) = x(j) + 2*y(j). Factor k(q).\nAnswer: 4*(q + 3)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5184 or 755?\nAnswer: 755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 20487878.\nAnswer: 20487877.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 684 and 168?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + 2*w - 2*w)*(17*w + 1 - 2 - 23*w + (4 - 2 + 0)*(3*w + 2*w - 7*w)) to the form g + q*w**2 + f*w and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 47842, 0.2, -4\/5, -0.3 in descending order.\nAnswer: 47842, 0.2, -0.3, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from daqqdqy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -110? (a) 5 (b) -232\/3 (c) 4 (d) -8 (e) -1\/12 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 9*j - 80. Calculate y(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 2\/3 (c) 415 (d) 0.5 (e) 0.4 (f) -46\/7 (g) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**6\/120 + j**5\/5 + j**4\/3 - 3*j**3\/2 + 2*j**2. Let b be y(-11). Let n be b\/4 + -3 - 1. Sort 3, n, -3 in ascending order.\nAnswer: -3, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1668 = 15*y - 11*y. Suppose 0 = 6*v - y - 123. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15292 is divided by 7329?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -7*r**3 + 2*r**2 - 7*r. Let t be v(3). What is the common denominator of -87\/14 and ((-318)\/t - 1) + 0?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 4:01 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14825 divided by 1.\nAnswer: 14825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -333313130 (base 5) to base 4\nAnswer: -11211103310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -70, -1.287, -447, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2714 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24*f**2 + 55059*f - 33964199 wrt f?\nAnswer: -48*f + 55059","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0533*-0.3.\nAnswer: -0.01599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1131 + 1?\nAnswer: -1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 14*c + 19 - 3 - 1 - 3.\nAnswer: 14*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 + -7?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13121 - 13189. Is -48 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200 (base 4) to base 6\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 7 - 2 - 6\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 8. Let b be c\/(0 - 2\/(-10)). Let g = -5 - b. Solve 0 = -j - 5 - g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22320658*i**2 + 11842427 wrt i?\nAnswer: -44641316*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5099710189.\nAnswer: 7, 728530027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 8*y + 3. Let a be m(12). Let l = -9 - a. What is the remainder when l is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26187334?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2333, 9362, 21077, 37478, 58565?\nAnswer: 84338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is a8a9 (base 11) in base 12?\nAnswer: 83b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -1 (c) -27 (d) 77 (e) -409\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*q - 5*i = -5, -2*q - 1 = i. Let t be 0\/(2 + 1)*q\/(-4). Sort -3, 0.5, t in descending order.\nAnswer: 0.5, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, n: 4, j: 2, u: 3, q: 1, v: 4}. Give prob of picking 1 q, 1 n, and 1 m.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52725436 is divided by 870.\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79\/11 + -1501\/88. Let u = -1816205 + 36721353\/20. Let w = -19858 + u. Calculate the common denominator of w and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 559 divided by -1\nAnswer: -559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/28)\/((-5115)\/(-440)).\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -441*u**4 + 219*u**4 - 4*u**2 + 223*u**4 - 3 - 2*u**3 + 2 in the form d*u**4 + n*u**3 + g + z*u**2 + j*u and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 253560127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 - 4*m**2 + m**2. Let z(o) = -5*o - 4. Let u(b) = 14*b + 11. Let i(t) = -4*u(t) - 11*z(t). Calculate i(c(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 20*c = -20, -9*g + c - 74 = -85 + 56 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 5:17 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -184284.5 to the nearest one hundred.\nAnswer: -184300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kcykgiegkkekkk. What is prob of sequence cyge?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15152.95 milligrams in grams?\nAnswer: 15.15295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a - 8. Let h(m) be the second derivative of 3*m**3\/2 + 17*m**2\/2 - m + 2558. Calculate 6*h(c) + 11*n(c).\nAnswer: -c + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45*b**4 + 13*b**4 - 40*b**4 + (0 + 0 - 2*b)*(b**3 + 3*b**3 - 3*b**3) + 6*b**4 + 2*b**3 - 2*b**3.\nAnswer: -68*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/9 (b) 9.4 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1031\/10 - -103. Is n at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 3*b**2 + b - 1. Let f be y(3). Let j = -5 + 13. Suppose -a = a + j. Put -1, f, a in ascending order.\nAnswer: a, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 64. Let t be q(-26). Let s = 200 - t. What is the greatest common divisor of s and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/8 - 615\/(-60). Let t(f) = -3 - 7*f - f + q*f. What is t(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 11:19 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/8 + 233361*t\/4 - 66802593\/8.\nAnswer: 3*(t - 143)*(t + 155717)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -q*x**2*y**2 - 535051*q*x*y**2 - 5*x**2*y**2 + 34510*x**2 wrt q?\nAnswer: -x**2*y**2 - 535051*x*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2\/5 - 2848636*k\/5 - 5697288\/5.\nAnswer: 4*(k - 712161)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 2*m + 12. Let v be z(4). Let p(n) = -n**2 + 5*n - 8. Let q be p(7). List the prime factors of ((-8)\/4)\/(v\/q).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83950603 smaller than 83950605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + sqrt(20)*-3)*5 + 2*sqrt(1620) + sqrt(20) + sqrt(20))\/((sqrt(576) - (-4*sqrt(576)*-2 - sqrt(576)))*-5).\nAnswer: sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 1521 = k - 1517, -17*g - 4*k - 16 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63361\/10377 - 6\/1153. Calculate the common denominator of 71\/252 and r.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/6 - 15724*c**3\/3 - 120952232*c**2\/3 + 13993605248*c - 1188021843456.\nAnswer: -(c - 168)**2*(c + 15892)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-1 - 13) - (29 + -58 + 17).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28323530?\nAnswer: 2, 5, 17, 166609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3698*p + 465952. Let y be j(126). Find v, given that 25\/2 - 5\/4*v**5 - 35\/4*v + 10*v**3 - 35\/2*v**2 + 5*v**y = 0.\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -342968, -342940, -342912, -342884?\n\"Answer: 28*u - 342996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -752 + 814. Suppose -v + b = 3*m, 4*m - 293 = -4*v + m. Calculate the highest common divisor of v and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10720 and 1766720?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 21*g - 130. Let v(t) = 13*t**2 - 2. Let q(m) = 6*m**2 - 1. What is g*q(k) - 3*v(k)?\nAnswer: 3*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 2*f**5\/15 + f**4\/8 + f**3 + f**2. Let m be u(-3). Let h = -10 + m. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47983925 is divided by 6613.\nAnswer: 6610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1442 by 32044.\nAnswer: -721\/16022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13626 divided by -2?\nAnswer: -6813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247582873.\nAnswer: 37, 599, 11171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41062 - 41068. Which is the nearest to 661\/5? (a) -2\/7 (b) o (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5*t + 2*t + 2*t)*(-3 + 1 + 3) - 21*t + 30*t + 8*t)*(t + 2*t - 2*t) as f*t + z + x*t**2 and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m - 19*m**2 + 531 + 529 - m**3 + 526 - 1585 to the form v*m + h + u*m**3 + k*m**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -74169, -74248, -74379, -74562, -74797, -75084, -75423?\n\"Answer: -26*i**2 - i - 74142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -206360 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 1\/4, -0.0408, -0.475?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29*g + 15*g + 17*g)*(-3*g - 4*g + 6*g)*(-1 + 1 - g) + g - g - 2*g**3 as x*g**2 + v*g + j + o*g**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b + 1157*b**3 + b**2 + 2 - 579*b**3 - b - 577*b**3. Calculate d(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*y - 133*y - 169 + y**3 + 169.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -805310?\nAnswer: -805310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 7*g**2 - 6*g + 6. Let s be w(-6). Suppose -3*a - 4*q = -9, 3*a = 5*a + 4*q - s. What is the remainder when 3 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**5 + 1550*u**3 - 564*u**2 - 50285000*u wrt u?\nAnswer: -20*u**3 + 9300*u - 1128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*s**3\/9 + 14*s**2\/9 - 4*s\/9.\nAnswer: 2*s*(s + 2)*(4*s - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 62 = 18. Suppose -2*s + u*i + 820 = 10*i, -5*i = s - 414. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*u - 68, -2*v + 34 = -6*u + u. Suppose 153 + v = 5*g. Let p = g + -12. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 1404?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = -3*b - 38. Let o = 20 + 6. Let h = b - o. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 2*c**2 + c. Let f(r) = 3*r**3 - 4*r**2 - 12*r - 2. Let d(i) = -f(i) - 5*o(i). Let t(j) = -4*j**3 - 3*j**2 + 4*j + 1. Give -4*d(g) + 7*t(g).\nAnswer: 4*g**3 + 3*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 71519711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-10))\/(15*(-9)\/90)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -76 + (29 + 0 - (-276 + 316)) + (0 - 7)\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**2 - 4*v**2 + 0*v**2 + (0 + 3 - 1)*(v + 3*v - 13*v)*(-3*v + 2*v - v) to t + k*v + c*v**2 and give c.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**4 + 3*g + 15*g**3 - 3*g**2 + 16*g**3 - 29*g**3 to the form h*g + b*g**2 + f + x*g**4 + c*g**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 4:27 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, b: 4, d: 7}. Give prob of sequence dbb.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 9:22 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 + -71269.24105.\nAnswer: -71282.24105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aasa. Give prob of sequence aas.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/126615 and -109\/18.\nAnswer: 759690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46.941 + -47. Let u = -0.05900007 - h. What is u rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*u - a, 0 = -0*a + 5*a + 20. Let i(m) = -m**3 + 4*m**2 + 5*m - 4. Let f be i(u). Let t be (3 + (0 - 1))\/1. Solve t*j = -2*j + f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + 3. Suppose 5*m + 3*w = -13 + 80, 0 = -4*m + 4*w + i. Calculate the remainder when ((-18)\/2)\/(m\/(-77)) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179470841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34161781, 68323519, 102485257, 136646995, 170808733, 204970471?\nAnswer: 239132209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*p - 173, -4*q + 6*p - 5*p = -718. Calculate the remainder when q is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 18*q + 35. Give i(15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/32*202\/606)\/((-3)\/(-2))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 13 + 33 = 0. Let f(z) = -z**2 + 5*z - 6. Let o be f(x). Put 4, -4, o in decreasing order.\nAnswer: 4, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4041871 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2\/3*a**3 - 22\/3*a + 6*a**2 - 14 = 0.\nAnswer: -1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 22*n - 5. Let z = 3 + -1. Let u(v) = 7*v - 2. Let h(p) = -6*p + 2. Let i(b) = 4*h(b) + 5*u(b). Let a(r) = z*o(r) - 5*i(r). Determine a(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -162 - -164. Suppose y*s + s = -0*s. Solve s = -3*q + 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0440451538 and -15.8.\nAnswer: -15.8440451538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 131565563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1342 + 1334 + 3*a**2 - 2668 - 90*a**4)*(-2*a - a + 2*a).\nAnswer: 90*a**5 - 3*a**3 - 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -405724 by -18442.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/4 of a millennium?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.75*33.\nAnswer: 90.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/8 and -17\/4066678?\nAnswer: 16266712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-156)\/1001)\/(19\/7315*-22)\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.35, -0.5, -11, -1 in decreasing order.\nAnswer: 0.35, -0.5, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*c - 6276 = 884*c for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 4374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 333 + -236. Let w = y - 482\/5. Let h = 39\/110 + 1\/22. What is the closest to 3 in w, h, -1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**5 - 39366*n**4 - 236254*n**3 - 275658*n**2 + 236252*n + 315024 = 0.\nAnswer: -4, -2, -1, 1, 19689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((13\/(-385))\/1 + 41\/451)*14?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 1334 = -41. Calculate the greatest common factor of d and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 1a3d51?\nAnswer: 1a3d4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (4\/3)\/(1\/24). Find the second derivative of p*a**2 + 7*a**2 - 41*a - 2*a**2 wrt a.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1058 - 92 - 77 + 112 + 301)*(-27*f - 17*f - 5*f) to w*f + d and give w.\nAnswer: -63798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -10. Let k = o + -16.999988. Round k to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/6, -3\/10, 6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 434*v + 11739. Determine y(29).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -34*b - 55. Let j(s) = 21*s + 28. Let z(a) = 5*j(a) + 3*v(a). Calculate z(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -6555.\nAnswer: -3277.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 510*o + 480 = 256*o + 234*o for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o*o**2)\/o*o)**(3\/4)\/(o*o**(-1\/2))**(1\/3))\/((((o*(o\/o**(1\/4)*o)\/o*o*o)\/o)\/o)**(1\/3)\/(o\/(o**(-3\/2)*o)*o**(2\/15)\/o)) assuming o is positive.\nAnswer: o**(173\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*v - 96 = -17*v + 5*j + 39, -2*v = j + 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*s + 196*s - 1197 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 3:29 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6230051233 to the nearest integer?\nAnswer: 78931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*a - 4\/7*a**5 + 456\/7*a**3 + 0 - 60\/7*a**4 - 976\/7*a**2 = 0. What is a?\nAnswer: -21, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (92811*a - 91457*a + 4 - 3)*(-5*a + 5*a - 3*a) in the form t + y*a + d*a**2 and give d.\nAnswer: -4062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - 0.3. Let r = v - 2.4. Which is the closest to -0.1? (a) r (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5827?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285238*f + 362*w = 285243*f - 402, -w = 4*f - 31 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(4\/5))**(-3\/4))**(-8\/7) assuming k is positive.\nAnswer: k**(24\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 625 and 250.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 4*m - 32. Let h = m - 26. Suppose -h*f = 2*f - 4440. Round f to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3 = -6. Suppose -2 = 3*i + 2*s, -3*i = 4*s - 6*s - 14. Let j(h) = h + h**y + 6 + h**i + 0 + 1. What is j(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.06259 rounded to two decimal places?\nAnswer: 29.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - a + 8. Let i = 2 + -2. Let t be n(i). Suppose -s - s = -t. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 97145932 by -185393.\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7*g. Suppose 2*s - 1 = -7. Let n(u) = -6*u. What is s*v(o) - 4*n(o)?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (156\/(-1053))\/((-2)\/6)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 0.5, 5\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2481 from 0.058.\nAnswer: -2480.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-32)\/310 + -18 + (-1456)\/(-80). Let q = 11 + -13. Sort b, q, 3 in decreasing order.\nAnswer: 3, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3*n - 2218, -3*n - 28 = -13. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5400)\/(-10080))\/((-60)\/(-63)).\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 37 + 34 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.289186 in -0.3, 1, 4, 13, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 130109988 = -5*x, 13739923 = -x + 2*y - 12282065. Round x to the nearest 100000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + (-8)\/(-4))\/(-6). Let a(t) = t**2 - 5*t + 210. List the prime factors of a(q).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -659, -1322, -1969, -2594, -3191, -3754?\nAnswer: -4277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4725 divided by 945.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2483 - -2478. What is the third smallest value in -0.7, a, 1\/2, 0.3, -142?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 11. Let i = -162 + 92. Let c = 71 + i. Calculate the greatest common divisor of h and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - 0\/((-4)\/(-1)). Let t be 3\/(9\/(-22))*-6. Let w = t - 40. Solve -w*o - 11 = -5*i, i - o + 13 = -a*o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 126\/36 + (-6)\/(-4) + -1. What is the third smallest value in 1\/2, b, -1\/171?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s - s + 0*s)*(3 - 3 - s)*(145*s - 14*s + 93*s) as h*s**2 + t + n*s**3 + l*s and give n.\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, 8, 1 in decreasing order.\nAnswer: 8, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36432783977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -48*u**2 - u - 2. Let b be x(2). Let i = -70 - b. Calculate the highest common divisor of i and 210.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z - 36. Suppose 15*n - 13*n = -3*y + 32, -5*y + 36 = -n. Let h = y + z. Round h to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 28 = 16. What is the smallest common multiple of 27 and o?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 78392 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(((i\/i**(2\/23))\/i*i)\/i)*i\/(i**(-1\/13)\/i))**(-24\/13) assuming i is positive.\nAnswer: i**(-22704\/3887)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9775622, 9775627, 9775632, 9775637, 9775642, 9775647?\nAnswer: 9775652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5c4d (base 15) to base 6.\nAnswer: 230544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qa when two letters picked without replacement from {p: 2, a: 5, h: 5, x: 1, q: 3, k: 4}.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 217, -276, -771, -1268, -1767?\n\"Answer: -m**2 - 490*m + 708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 335, 381, 139, -433, -1377, -2735, -4549, -6861?\nAnswer: -9713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10035 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24*6*(-2)\/108.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7140 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 8, 2\/9, 3, 19, -4, -0.07, -22?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**6\/24 - d**5\/20 + d**4\/12 - d**3\/2 - 2*d**2. Is v(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.7401 - 0.2599. Let t = 0.41 - -1.4. Let l = 0.19 + t. Which is the nearest to -0.1? (a) l (b) -2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 6*v - 3*v)*(-14 + 4 + 6).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -220132113 (base 4) to base 15\nAnswer: -341c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2. Let q(n) = 45*n**2 - 2435*n + 145. Give q(t(l)).\nAnswer: 45*l**4 + 2435*l**2 + 145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 122161?\nAnswer: -122153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -6*u + 111. Give b(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/39 + -9 + (-208)\/(-24).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 - 2*h**2 + 3*h**4 + (-430*h + 430*h - 36*h**4)*(29 - 24 - 15).\nAnswer: 363*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -86 in -0.2, 2, -4, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256414 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2. Let x(s) = -20*s**2 + 27*s - 6. Suppose -49*k - 319 = -25. Let u(c) = 4*c - 1. Let m(b) = k*u(b) + x(b). Determine o(m(a)).\nAnswer: 800*a**4 - 240*a**3 + 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.9 - -0.1. Let r = 109 - 109. Suppose -8*z + 173 - 69 = r. Is n greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 181, 344, 507, 670?\n\"Answer: 163*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*x - 2210 = 483*x + 82*x + 990 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*d - 857 = 0, -2*m + 3*m - 176 = -4*d. Suppose -320 - m = -4*u. Suppose -u = -5*c + 102. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214 - 214 + 459*y**3.\nAnswer: 459*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2875? (a) -3\/5 (b) 2\/19 (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 21*r - 20. Let q be i(1). Let u(y) = 20*y - 1. Calculate u(q).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + 4.2. Let j = -3.243 - -18.243. Which is the third biggest value? (a) -3 (b) j (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 23 = -148. Let r = q - -49. Calculate the remainder when 16 is divided by r\/4*(-1 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2800 + 1)\/(-1*1). Let k = 16855\/6 + a. Let t = 773\/296 + 19\/37. Find the common denominator of k and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 55*l**3 - 25*l**2 - 25. Let d(c) = -7*c**3 + 3*c**2 + 3. Suppose 5*x = 40 - 50, -5*t - x - 127 = 0. Determine t*d(a) - 3*b(a).\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -211 - -1901\/9. Which is the second smallest value? (a) d (b) -6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (17\/(-4))\/((-1)\/(-52)). Let o = r + 511. Suppose 2*x = o - 94. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5209.848 grams in micrograms?\nAnswer: 5209848000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.9 + -29.9. Let q = 53 + y. Let m = 21 - q. Which is the nearest to m? (a) 0.1 (b) 1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93199979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(147) - 2*sqrt(147)) + sqrt(147) + 5 - (0 + (1*sqrt(147) - sqrt(147))))*-3)**2.\nAnswer: -675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5470211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5461 - 672. List the prime factors of t.\nAnswer: 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -286 - -783. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56000 and 12000.\nAnswer: 168000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 165 - 118. Let n = -46 + j. What is the third biggest value in 5, 3, -0.6, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 20*j. Let o(w) = -1988340*w. Determine f(o(r)).\nAnswer: -39766800*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {p: 4, m: 1, u: 11, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 11*t + 2. Let z be j(-11). Let h(c) = -c**3 - 9*c**2 - 7*c + 14. Let s be h(-8). Is 8 a factor of (-20)\/s*-9 + z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2\/3, -3.74, 0.1, 94 in increasing order.\nAnswer: -3.74, -0.3, 0.1, 2\/3, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (-51)\/(-21) + 1105577\/7. Suppose 2*r - z = -18*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.812 * 585.\nAnswer: -1645.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8355691?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - f + 0*f)*(-f + f - f)*(3*f**3 + 4*f**3 - 5*f**3).\nAnswer: -6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.4 (b) -18 (c) -2 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*b = -4, -3*m + 0*m - 5*b = -11. Solve 2*t - p - 6 = -0, 3*p = -m*t + 22 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.168, -0.0309, -3\/5, 5?\nAnswer: -0.0309","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + -10. Let m = 2545 - 20293\/8. Find the common denominator of h\/(-70) + (-397)\/(-20) and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*6\/(-40))\/(23*(-108)\/(-690))*2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.05 + 0.05. Let d = -2\/5 + 4\/35. Sort d, g, -2\/5 in descending order.\nAnswer: d, -2\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*h + 10 = 0, 3*g - 1 = -5*h - 26. Suppose 4*p + 4*s = 16 - g, 0 = -4*s + 4. Is ((-6)\/p)\/2 + 50 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 220 = -4*w, -w + 978 = 4*t + 672. Solve -24*p = 268 - t for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 33*y**2 - 2. Let m be t(33). Let u(s) = 6*s**2 - 2*s - 1. What is the remainder when 0\/2 + (-161)\/14*m is divided by u(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*g + 56*g + 51 + 842 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -715930 rounded to the nearest ten thousand?\nAnswer: -720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9752571 (base 10) to base 8.\nAnswer: -45147773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 2dd?\nAnswer: -2e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 5*q + 4. What is i(9)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49 - -48. Let v be (-82)\/(-14) + z\/(-7). Let o be 1\/(1 - (-3 + 3)) + 3. Solve -v = -7*h + o*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 12, o: 7}. Give prob of sequence ddo.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**3*y + 3*g**2*y - 3*g*j*y - 2*g + 7*j*y - 3*j - 2*y wrt g?\nAnswer: 6*g**2*y + 6*g*y - 3*j*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u + 13. Let n = -66 - -68. Let g(k) = -k - 3. Calculate n*q(r) + 9*g(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*r = -6, -32 = -5*q + 3*r - 48. Let k be (18\/(-30))\/(q\/10). Factor 0*n - 1\/5*n**k + 0 + 1\/5*n**2.\nAnswer: -n**2*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(36) + sqrt(36))\/sqrt(12) + sqrt(3) + 1)*2.\nAnswer: 2 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(2720\/(-45)) - (-13 - 1275\/(-100))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -2\/5, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.17 + 2.17. What is the nearest to 1 in c, 1\/4, 0.5, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 5*v - 301. Calculate m(60).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in thirteen fifths of a microsecond?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 4 + 9\/(-6). What is the closest to s in -0.1, -1, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -5*n**4\/8 - 29*n**3\/12 + 25*n**2\/8 + 7*n\/2 + 855. Find b, given that r(b) = 0.\nAnswer: -7\/2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9266 + 0.457. What is h rounded to two dps?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52593.\nAnswer: 3, 47, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 36 = 2*q - 11, -45 = -5*p - 4*q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11\/56 - 41\/280. Let q(s) be the second derivative of 14*s - k*s**5 + 0 + 2*s**2 - 7\/6*s**3 + 1\/2*s**4. Determine q(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06869 + 9453.65?\nAnswer: 9453.71869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -259 + -2?\nAnswer: -25b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 481 and 868982?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -214? (a) 30 (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136 and 3638.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1214113414 + 0?\nAnswer: 1214113414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4 + 0 = 0. Let y be (120\/(-9))\/r*-3 + 0. Calculate the highest common divisor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 440964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -505*k**2*v**3 + 6*k**2*v + 3*k*v**3 + 4082*k*v**2 - 89*k - 16043*v**3 wrt v.\nAnswer: -3030*k**2 + 18*k - 96258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 20 = g. Suppose -g*m = 0, -m = 3*k - 10 - 38. Suppose -k*p = -1246 - 2786. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 5*q + 0*q)*(1 - 14 - 31 + (2 - 1 - 3)*(2 - 2 + 1))*(-2*q + 0*q + 0*q)*(0*q**2 + q**2 - 2*q**2).\nAnswer: 368*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2618357 is divided by 98.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/14028120 and 163\/1608960?\nAnswer: 448899840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 2177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/2)*d\/(d\/(d*d\/d**6))*d**(-3\/7)*d**1 assuming d is positive.\nAnswer: d**(-55\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - 1.7. Let r = 3 - 2.9. Let i = 0.06 + 1.94. What is the closest to r in g, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (28 - (-11 - (-1 + -44)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*s - 2 + 6 - 2)*(s**2 - 3*s**2 - 3*s**2) to c*s**3 + m + o*s + y*s**2 and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, p: 2, s: 1}. Give prob of sequence ppos.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -42, 129, 430, 867, 1446, 2173, 3054, 4095?\n\"Answer: c**3 + 59*c**2 - 13*c - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.62 + 0.7. Let i = -0.08099 + h. Round i to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 57952 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2601170 and 234520.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-2))\/(((-50)\/(-15))\/(-10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 805 and 1541?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*b + 8, 2*l + 6 + 10 = 5*b. Let w(t) = -6*t**2 + 91*t - 1. Let q be w(15). Solve 2*o = -2*o - b*f - 26, o + 2*f = -q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g + 25. Suppose 0 = -8*u + 7*u + 3, h - 9 = -2*u. Calculate the smallest common multiple of -16*-1*(2 - 1) and v(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*t = -15, 0 = 5*y + 3*t - 9. Suppose y*o = o - 2. Suppose j = 4*x, -5*x + x = -2*j + 4. Calculate the greatest common factor of o and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**4\/12 - f**2 - f. Let b(i) = 9*i + 97. Let k be b(-11). What is m(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3666 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8918576 to the nearest integer?\nAnswer: 2986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475)*-3 + (sqrt(76)*-1 - sqrt(76)).\nAnswer: -19*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**2 + 6*p + 22. Calculate a(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -0*b - 19*b + 532. Solve 4*z = 3*r + 13, -11 = -5*r + 5*z - b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yylw when four letters picked without replacement from wlzwwyyybyypwwzw?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 23*k**2 + 27*k - 265. Determine l(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 22*s - 6 - 115 - 11. Let w be n(6). Solve w = m - 0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -2*q + 131, -4*q = 2*u + q - 44. Suppose -8*g - 29 = u. Let k be -3 - 0 - g\/(-3)*-3. Calculate the highest common divisor of k and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -140*k - 3506. Give u(-23).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*a**2*u**2 - 43*a**2*u + 38751*a**2 wrt u.\nAnswer: 58*a**2*u - 43*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -5*l, -5*m = -l + 2*l - 18. Suppose 5 = 4*a - l. Let w be -3*(-4 + 2) - a. Solve -5*h - w*q = 8 + 14, h + q = -5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1687286721.7 + -0.986.\nAnswer: 1687286720.714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(825) - sqrt(825)*1) + sqrt(825) - sqrt(396)\/(sqrt(12)*2))\/(-4*(sqrt(3) - -1*sqrt(3))*-6))**2 + -1.\nAnswer: 99\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**3 + 2 - 2)*(-w - 5 - 1 + 5 + 2*w**2).\nAnswer: -6*w**5 + 3*w**4 + 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5767, -5425, -5079, -4729, -4375, -4017?\n\"Answer: 2*y**2 + 336*y - 6105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 499001, 998611, 1498221, 1997831, 2497441, 2997051?\n\"Answer: 499610*n - 609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 50\/(-80) + 14452\/32. Calculate the greatest common factor of 33 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*f - 963127 = 329973. Is f a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 5*l**2 + 6*l + 2. Let p be a(-2). Put -2, 0, p, -1 in increasing order.\nAnswer: -2, -1, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67 + 61. Let c = 683 - n. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 times 56?\nAnswer: 2856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16729 + -16255. What is the remainder when 514 is divided by k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**3 - x**2. Let m be k(1). Suppose -5*f + 2*f - 21 = -m*a, -4*a - 5*f = 17. Let b = -9\/13 - -5\/26. What is the closest to -2\/5 in b, -1\/3, a?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 937685239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.4 - 0.6. Let u = -0.2 - a. Let h = 3 + u. Put 0.4, h, -0.2 in decreasing order.\nAnswer: 0.4, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -34468.7?\nAnswer: 34469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 1315515784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upu when three letters picked without replacement from phsuapuuhhpshws?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 140596973 to the power of 1\/3, to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1187 is divided by 131.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/((48\/54)\/8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -35, -70, -123, -200, -307, -450, -635?\nAnswer: -868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133012401 (base 5) to base 8.\nAnswer: -2442123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21978415?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 6:58 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -308*k**4*t**2 - 120*k**4*t - 363*t**2 - 172*t - 35 with respect to k.\nAnswer: -1232*k**3*t**2 - 480*k**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/5*375\/225?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - m - 10 = 0. Suppose 2*l + 4 = -0*s + s, -2 = 2*l. What is the highest common factor of m and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -212404 - -12311?\nAnswer: -200043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*l + 39 = 0, 5*g - 5*l - 15 = -0*l. Let p = g + 0. Let j(v) be the second derivative of v**3\/3 - v**2\/2 - 3*v + 75. Give j(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 59448?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1108 - -563466?\nAnswer: 562357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -3, 0, 1\/248, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4 = 2*a. What are the prime factors of 414\/13 + a\/(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b. Let o be 174\/15 + 4\/10. Let c(h) = -10*h + 31*h - o*h - 10*h. Calculate m(c(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*sqrt(112)\/sqrt(2))\/(-5*sqrt(98))*-4 + -1.\nAnswer: -64*sqrt(7)\/35 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 260*o**2 - 21*o + 51. What are the prime factors of n(7)?\nAnswer: 2, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 3*p + 5*p. Let z be d(-1). Let m(x) = -2*x - 13. Is m(z) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + -3 + 2)\/(-1). Let f(o) = 33*o - 33*o - 5*o**w. Let l(r) = -2*r**2. Determine f(l(j)).\nAnswer: -20*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147, -604, -1365, -2430, -3799, -5472?\nAnswer: -7449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (56\/10)\/((-20)\/(-150)). Suppose 0 = -43*w + f*w + 4. Let b(i) = 6*i + 12. Let o(p) = p + 2. Let j(v) = -b(v) + 4*o(v). What is j(w)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 136.7 to the nearest integer.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6.209792um?\nAnswer: 6209.792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 0. Let x(l) = -r*l - 6 + l - 1. Is x(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 203159\/8 + -2451033\/88. Let o = -2462 - k. What is the common denominator of -19\/18 and o?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2156875 * 0.1.\nAnswer: -215687.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 798.41\nAnswer: 777.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 16874916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 17. Let v = 2 + -5. Let d be (119 - 2)*(-2 - v). Calculate the greatest common factor of h and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -172, -269, -372?\nAnswer: -481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x. Let j(t) be the first derivative of -24*t**3 + 2*t - 57. Give j(d(l)).\nAnswer: -288*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1369367070 to the nearest integer?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221483616?\nAnswer: 2, 3, 17, 113, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.792314 times -7?\nAnswer: -47.546198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-2)*(-43 + 280\/5)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o**2 - 5*o + 17. Let g(x) = 8*x**2 - 6*x + 17. Let u(l) = l**3 - 46*l**2 + 305*l - 43. Let r be u(38). What is r*g(p) + 6*h(p)?\nAnswer: 2*p**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 593*i*j**2 - 3*i*j + 1414*j**2 with respect to i.\nAnswer: 593*j**2 - 3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1538?\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 776.4977 minutes in milliseconds?\nAnswer: 46589862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 251 = -v, -162 = 2*q + 4*v - 422. Let i = -618\/5 + q. Which is the second smallest value? (a) 5 (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1854612 and 144.\nAnswer: 7418448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hnznnnzsnznrhhzzrnn. Give prob of picking 1 s, 2 h, and 1 z.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*p - 17*p + 94 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 324364 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/9 + 118*c**3\/9 - 124*c**2\/9 - 80*c\/3.\nAnswer: 2*c*(c - 2)*(c + 1)*(c + 60)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 1\/2384 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 685, 682, 677, 670, 661?\n\"Answer: -l**2 + 686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, o: 3, y: 1}. What is prob of picking 3 o and 1 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, y: 2, i: 4}. Give prob of picking 1 y and 1 i.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-15) - (-1 - 62\/(-40)). Let t = -0.35 + -0.05. Which is the nearest to -0.2? (a) t (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-11) + (-318)\/198.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 + 55.86. Let y = k - -4.14. Sort 1\/3, -0.5, -2\/3, y in decreasing order.\nAnswer: y, 1\/3, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -99329, -101213, -103097, -104981?\n\"Answer: -1884*b - 97445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/47937 and 83\/995106.\nAnswer: 28858074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1648, 3384, 5118, 6850, 8580, 10308, 12034?\nAnswer: 13758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 5*z**2 + z - 3. Let w be v(5). Sort 4, w, -7 in ascending order.\nAnswer: -7, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-977 - -905) + 44 + -1\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - b. Let d be n(0). Suppose d = -j - 1 + 4. Suppose 12 = 3*a - j*o, 3*a - 13 = -o + 5*o. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*q + 55 - 157 = 0, 0 = 2*p - q + 39. Let f = -2098 + 50303\/24. Calculate the common denominator of 15\/(-30)*(-4)\/p and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 130 + -647\/5. Suppose -4*y - 10 = -2*y. Let f = 159 - 158.95. Which is the third biggest value? (a) k (b) f (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 3 - -5 - 4 - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a (base 13) in base 7?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + 2 + 3 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, n: 1, l: 4, p: 1, v: 2, m: 3}. What is prob of sequence pd?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - 44. Solve 1 = -k*v + 16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c + 1. Let v be r(1). Suppose 3*j - 3*o = -0*j - 15, v*j = o - 17. Let h = -0.377 - -0.677. Put h, 1\/3, j in decreasing order.\nAnswer: 1\/3, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -13. Let u be (-1 + 6)\/((-3)\/(-18)). Let a = u + j. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - d - 50 = 0. What is the remainder when 5\/(25\/195)*(-7)\/(-7) is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 430710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 3*h - h)*(-70*h - 41*h**2 + 70*h).\nAnswer: 41*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.465 + 5.465. Let k = 20.86 - 0.86. What is the closest to -2\/3 in u, k, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 9*x**2 - 216*x - 1318. Determine r(-6).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*l - 5, 0 = 4*i - 7*i - 2*l + 5. Suppose 85 = 5*m - 2*w - i*w, 4*w + 51 = 3*m. Calculate the greatest common divisor of m and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41733, -41737, -41741, -41745, -41749, -41753?\nAnswer: -41757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -76*m. Let q be z(5). Let o = 3813\/10 + q. What is the common denominator of o and (1\/2 - (-13)\/(-3)) + -3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*a - 5*q, -4*a + 24 - 3 = q. Suppose -a*f = -0*f - 66. Suppose 0 = -f*n + 9*n + 2222. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-14))\/(6728\/35322).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**26\/((i**20*i)\/i))\/((i*i**(-1\/7)*i*i)\/(i**(-1\/8)*i)) assuming i is positive.\nAnswer: i**(225\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 7 - 13 - 2)*(8*a**4 - 12*a**4 - 6*a**4).\nAnswer: -10*a**5 + 80*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 89\/(-7) + (-10)\/35. Let v = -10 - n. Solve u + 0*u + 5*y - 17 = 0, -u - v*y + 11 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 15) to base 3.\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + u = -81, 0*u - 91 = -2*k - u. Let y be (-3)\/(2\/(-2)) + k. Suppose z + 9 = -a + 38, 2*a + y = 2*z. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, x: 1, b: 1, o: 1, d: 1, f: 1}. Give prob of picking 1 h and 1 o.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 12:26 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-120))\/((16\/(-192))\/(3\/(-162)*-4)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (106*x - 217 + 217)*(-19*x**2 - 59*x**2 + 17*x**2).\nAnswer: -6466*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 + 65*w**3 + 246*w**2 - 36320*w - 246400.\nAnswer: (w - 22)*(w + 7)*(w + 40)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2)*-1)\/((-1323)\/(-1134)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -309 + 18. Calculate the remainder when q is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1332*c**2 + 2671*c**2 - 1341*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17235*u**2 - 2504*u + 1203*u + 1301*u to the form d + v*u + b*u**2 and give b.\nAnswer: -17235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - (12 + 0)) + -18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 4*n + 4. Let r be c(4). Suppose -2*d - 2*d = -36. Suppose 0 = 5*i - 6 - d. Solve i*h + 1 - r = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.1 + -5. Let z = 3.1 - w. What is the nearest to -2\/5 in z, -0.5, -3\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/24*-4)\/(33\/(-1650))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1447888266 a multiple of 578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20\/(-3))\/(7 - (-110)\/(-15)). Suppose -3 = -4*l + 5. Suppose 0 = -a - c + 4 - l, 0 = 4*a + c - j. Solve 0*p - a = 2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1))**(2\/57))**12\/((u*u*u\/(u\/u**(-1))*u*u)**(4\/9)\/(u**(-1\/3))**(1\/95)) assuming u is positive.\nAnswer: u**(-127\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39701 is divided by 413?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - 1 - 2 - (13 - (-38 + 54)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*p = 4*i + 2, -4*i = 0. Let v be p\/7 + 282\/7. Suppose -v = -2*c - 2*c. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/5 + (-259)\/420. Suppose 2*r = 8*r. Is n <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -3\/13*w**3 + 1\/26*w**5 + 0 + 9*w - 1\/26*w**4 - 1\/195*w**6 + 0*w**2. Determine q so that d(q) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 31675187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 - (2 - 2))\/(19 - 940\/50). Calculate the greatest common factor of a and 320.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(-4)\/18*-3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-43)\/43*(-2 - -2). Which is smaller: 2\/325 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j - 4*j + 247648 + 155140 - j.\nAnswer: j + 402788","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3526062?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 276 + -271. Solve 10 = a*h, -3*h = -4*c - 0*c - 26 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15, -34, -65, -108, -163, -230?\n\"Answer: -6*s**2 - s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1037 - 1033. Let n(z) = 3*z**3 + 2*z**2 + 4*z + 1. Let g(p) = p**3 + p + 1. Calculate t*g(o) - n(o).\nAnswer: o**3 - 2*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/132328648 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 - 25. What is the remainder when 107 is divided by t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 5*w**2 + 5*w + 8. Let x be c(6). Suppose 0 = -31*j + 3*j + 19880. Suppose 7*p - x*p - j = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 5*p. Let h = 25 - 29. Let v be w(h). Suppose 4*z - v = 4. Calculate the remainder when z is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 6*u + 4*u - u. Let h(r) = 9*r**2. What is g(h(q))?\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -376 - -1268. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133353.\nAnswer: 3, 11, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 915, 932, 961, 1008, 1079, 1180, 1317?\nAnswer: 1496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 480 is divided by 259?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24107 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.446484054 to two decimal places.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10315 + -2314?\nAnswer: 6001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o**2. Let c(g) = 2*g - 5. Calculate v(c(b)).\nAnswer: -16*b**2 + 80*b - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 9*r**2 + 8. Let b be v(-9). Suppose b = -2*h + 3*h. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 + 27 = 4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*z = -33*z - 29*z - 144 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = u + q - 5*q, -3*q = 4*u - 179. Suppose -262 = -5*m + i, -m = -i + 5*i - u. Suppose -p + m = p. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 7*x**2 - x + 1. Let y(q) = -4*q**3 + 42*q**2 + 6*q + 1. Let s(i) = 5*v(i) + y(i). Give s(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 3*h - 537, 78 - 62 = 4*h. What is the smallest common multiple of 105 and y?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 4:43 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**5\/5 + 3722*n**4\/5 + 40847*n**3\/5 + 96502*n**2\/5 + 59376*n\/5 = 0?\nAnswer: -3711, -8, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 6*l**2 + 318*l + 69. Calculate b(-52).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 397858.201 rounded to the nearest ten thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 92940791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28.9 + -49.8. Let o = -21 - g. What is the nearest to -2\/5 in 4, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.3 (c) 2\/3 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 10:30 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.138585293 to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-6) + -3 + 52\/8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 1) + 15\/5. Let i be -3*p\/(-6) + 19. Suppose 3*q = n - i, n - 6*n - 4*q + 62 = 0. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 730687 to the nearest ten thousand.\nAnswer: 730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -13*r + 3. Let l(g) = -g**2 - 3. Determine l(f(u)).\nAnswer: -169*u**2 + 78*u - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 - 4075965?\nAnswer: -4075914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39373863 to the nearest integer?\nAnswer: 6275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8 + 14)*309306\/9. Let p = j + -70204. What is p rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -280*o**3 + 63*o - 63. Let m(z) = 9*z**3 - 133 - 2*z + 260 - 125. Determine -2*g(s) - 63*m(s).\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6492 - 6792 - 4221*p**2 - 335*p**2 - 3007*p**2 - 615*p**2 wrt p.\nAnswer: -16356*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, n: 1, v: 2}. What is prob of sequence vv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 12:29 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 11. Differentiate 3*o**4 - 4*o**4 - o**2 + o**2 + d with respect to o.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 4.2. Let m = 0 - z. Let u = 2.04 + -0.04. What is the biggest value in u, m, -1\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - -1.7. Suppose 3*t + m = -15, -2*t = -2*m + 7 + 3. What is the second biggest value in t, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 6*i - 7. Let h(q) be the third derivative of 0*q + 12*q**2 + 2\/3*q**3 - 1\/8*q**4 + 0. Give 5*h(t) + 3*j(t).\nAnswer: 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 2)*(-2 + 0*x + 0 + x).\nAnswer: -5*x + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 288622727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + 11*o - 132, -q - 4*o - 46 - 20 - 16 = -15 for q.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*g - 17*g + 10*g - 4*g - 2*g + g + (2 - 5 + 2)*(-2*g + g - g) + (0*g - g + 4*g)*(21 + 4 + 28) as m*g + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-1225)\/140)\/((-3)\/1296)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/607 + -62565\/26708. What is the common denominator of o and -25\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 8*t + 70. Let m be i(13). Suppose -45 = -5*d - 5*p + 40, -m*p = d - 33. Solve 3 = 5*n + d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 4*j + 8. Let n be w(6). Let i = 3 + -8. Let m = 0 + 1. Sort i, m, n in descending order.\nAnswer: m, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5887841ms in minutes?\nAnswer: 0.000026479735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3. Let d(f) = -4*f**3 - 28*f**2 - 100*f - 96. Let l(a) = d(a) - 3*t(a). Solve l(g) = 0 for g.\nAnswer: -24, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 + 3570\/168)*4\/28?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81 + 83. Suppose -7*b - u*b = -2574. What is the highest common divisor of 26 and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72282 - 22904. Does 252 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -18*j**2 - 7*j - 5. Let q(p) = 6*p**2 + 3 + 4*p**2 - p**2 + 6*p + 0*p**2 - 2*p. What is -4*b(r) - 7*q(r)?\nAnswer: 9*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8bf8d (base 16) to base 6\nAnswer: -20142141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 2074695?\nAnswer: 2074690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-7)*(-42)\/24*-12. Let u be (h - 1 - (-6 + 4))*-1. What is the nearest to 1\/4 in 2\/5, u, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 1:36 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + -54 - (17 + -17 + -16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.030607*-22.\nAnswer: -66.673354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 12*p. Suppose 4*k - a + 18 = 5*k, 0 = -k + 5*a. Solve 3*h - k + p = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*((sqrt(120) - sqrt(120)*-2)*-4)\/((sqrt(96) - -2*sqrt(96) - sqrt(96))\/sqrt(12)))\/(sqrt(384)\/sqrt(8)*4 - -4*2*sqrt(363)))**2.\nAnswer: 1125\/2704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -4. Let s = -1 - h. Suppose s*t - 3*t + 54000 = 0. What is t rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 188136 = -4*o, -3*o - 2*p + 124853 = -16256. List the prime factors of o.\nAnswer: 17, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1\/(-24)*-2 + (26733995\/(-60))\/(-53)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7*f**2 + f + 1. Let y be t(-1). Let v(s) = 23*s - 6. Let u be v(y). Let o = 245 - u. Calculate the greatest common factor of 30 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*z + 28*z - 105. Let j = 38 + z. Suppose n = -7*b + 4*b + 12, -4*n = 0. Calculate the lowest common multiple of j and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - d = -4 - 12, 0 = -5*d + 20 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 29. Sort -1\/2, i, 0.1.\nAnswer: i, -1\/2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (400\/1050)\/(120\/(-810))\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - 38. Let k = l + 56. Which is the second biggest value? (a) k (b) -0.1 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/7 - 24*d**2\/7 - 143*d\/7 - 120\/7.\nAnswer: -(d + 1)*(d + 8)*(d + 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -99864 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*l = 133 + 10467. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 3*g + 39 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*q**2 - 13*q**2 - 22*q**3 + (3 - 2 - 3)*(q - q + 2*q**3).\nAnswer: -26*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(245) + -4)**2*5 - ((sqrt(245) - (-2 + sqrt(245)) - (sqrt(60)\/sqrt(4))\/sqrt(3)) + -1)**2)*2.\nAnswer: -976*sqrt(5) + 2928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) - sqrt(7))*-1 + (1 + sqrt(448) - sqrt(7)) + sqrt(7) + sqrt(7))**2 - (-4*2*(sqrt(7) - sqrt(28)\/sqrt(4)))**2.\nAnswer: 16*sqrt(7) + 449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2642, -5283, -7924, -10565?\nAnswer: -13206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - k + 7. Let y(x) = x**2 - 2*x - 43. Let b be y(8). What is the smallest common multiple of n(b) and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2450424625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a gram in milligrams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1929763.\nAnswer: 11, 175433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*j + 9*j + 4. Let t be (-3)\/(9\/(-15)) - 66\/33. Solve -j*l = -t - 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(4 - 7)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-3)*1*47\/(-141)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 372100*k**5 + 50238380*k**4 - 205112484*k**3 + 152469220*k**2 + 2026112*k + 6672 = 0.\nAnswer: -139, -2\/305, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -243 + 348. Let q = -108 + n. Let y = 0.08 + -0.38. What is the third smallest value in y, q, -5\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 15*y - 9. Give q(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15476*t - 15471*t + 30945*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.38 - -8.38. Sort h, -0.1, -1\/2, 1\/7 in descending order.\nAnswer: h, 1\/7, -0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbwwwsswwsksw. What is prob of picking 1 w and 1 k?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1411 and 6953?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 646 * 736.3\nAnswer: 475649.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 974 is divided by 336?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*l**3 + 24*l**3 + 10*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 - -56.96. Let i = 54 - v. Let y be -3 - -1*36\/15. Which is the second smallest value? (a) i (b) y (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3352 (base 14) to base 15\nAnswer: 297c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76 by -701.\nAnswer: 76\/701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqvv. Give prob of picking 2 v and 2 q.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -15)*(0 - (-159)\/12). Sort y, -0.4, 5 in descending order.\nAnswer: y, 5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + (-9 - -26)*-1)\/((-2)\/8).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 8:16 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 387 = -8*g + 51*g. Put g, 0, -5 in decreasing order.\nAnswer: g, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4590 is divided by 230.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-7) - (-20)\/35. What are the prime factors of b*12\/9*60?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/1625? (a) -4.3 (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -735, -2900, -6509, -11562, -18059?\n\"Answer: -722*z**2 + z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2859\/10 greater than or equal to 286?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**4\/24 + 2*k**2. Let c be z(0). Is c bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3328) - 2*sqrt(3328)*-2)\/((sqrt(36) + sqrt(324))\/sqrt(9)*-3))**2 + 0.\nAnswer: 1300\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*x - 2*x - 148 = 0, x = -4*c - 565. Let z = c + 170. What is the derivative of 23*f + 3*f + z - 6 + 22 wrt f?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 439*a**3 + 12916112*a - 12916112*a.\nAnswer: 439*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/3 + 0)*(0 + -3). Suppose -8*w = -9*w - b. Is 62388\/84 - (2 + w\/7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2 = 3*x - 32, -3*m = 4*x - 57. Solve 423*r = 427*r - x for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**5 - 2084*s**4 + 4156*s**3 - 2076*s**2 = 0. Calculate s.\nAnswer: 0, 1, 519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -516 + 530 = 2*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4*d + 1. Let x(m) = 13*m - 5. Let l(w) = -11*s(w) - 4*x(w). Let k(u) = 7*u - 8. Determine -6*k(h) - 5*l(h).\nAnswer: -2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.035141351 rounded to four dps?\nAnswer: -0.0351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -208552, -834238, -1877036, -3336940, -5213944, -7508042, -10219228?\n\"Answer: g**3 - 208562*g**2 - 7*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -456, -1733, -3864, -6849?\nAnswer: -10688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84*d**4*w**2 - d**4*w - 9*d**3*w + 3*d**2*w**2 + d**2*w + 2*d**2 - 1759*d*w**2 wrt d?\nAnswer: -2016*d*w**2 - 24*d*w - 54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 806 - 484. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1071592 is divided by 1786.\nAnswer: 1778","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 12 + 8 + (1 + 3 - 3)*(0 + 0 - 2))*(-2*n + n + 0*n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16597 - -16595. Sort -428, 0, d, 3, -1 in descending order.\nAnswer: 3, 0, -1, d, -428","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*b + 5*b + 7, 0 = 5*j - b - 11. Let u(z) = 2*z - 2*z + 0*z - 2*z**j. Let o(m) = -3*m + 0 + 0. Determine o(u(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10377\/4 + 2593. Which is the fifth smallest value? (a) 0.2 (b) h (c) 1 (d) 86 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, l: 3, d: 2, q: 1, t: 6, z: 6}. What is prob of sequence dqt?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - -4 - (2 + -32). Suppose -l + k = 3*l. Is 10 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -7*w**2 + 11*w + 2. Let i(k) = 124 + 7*k**2 - 240 - 22*k + 110 + 15*k**2 - 12*k. What is 5*i(y) + 16*q(y)?\nAnswer: -2*y**2 + 6*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 1)*(3*p - p + 0*p) - p - p + 4*p)*(-p**2 + p**2 - 2*p**2).\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 250167 + 0?\nAnswer: 250167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 2 + -2 + 0 + (2 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3*-36\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.86*-65.\nAnswer: 185.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6\/7 - 1. Let d = -1620 + 1620.2. What is the nearest to d in -1\/2, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 147415532 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 12:52 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 415 + -400. Let j(g) = g**2. Let o(v) be the second derivative of 0 + 1\/3*v**4 - 6*v + 0*v**2 + 0*v**3. What is b*j(q) - 3*o(q)?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1489528\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, l: 2}. Give prob of sequence cccl.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-6)\/18*(-21)\/(-2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -3 in ascending order.\nAnswer: -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 47.01188 micrometers?\nAnswer: 0.00004701188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 1:24 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 7*n**2 - 2*n - 19. Let p be t(6). Suppose 0 = v + p*h - 18, 5*v = 3*v - 5*h + 21. Solve 3*l + 6 = -v*o, 0*o + l = -2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 5*t - 2. Let f be 1\/3 - 52\/12. Let n be j(f). What is the first derivative of n + 50*u**2 + 1 - 43*u**2 wrt u?\nAnswer: 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 g when three letters picked without replacement from kkgdddkkddgdddgddd?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(209)*-2)\/(sqrt(275)*-1).\nAnswer: 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 98*a - 413*a + 2146*a**2 + 50*a + 2143*a**2 - 4288*a**2 as g*a + h + x*a**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 15 = 4*s. Let o = s + 1. Let q = o - -27. Is 16 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/4*(3 + -1). Let n(u) = u**3 - 4*u**2 + u + 5. Let r be n(4). Let t = r + x. Let i(j) = j**3 + 7*j**2 + 5*j + 4. What is i(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2898055418 to the power of 1\/2, to the nearest integer?\nAnswer: 53834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15419347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10990 - 10986. Factor 8\/3*y**2 - 4\/3*y**5 + 16\/3*y**o + 0*y - 20\/3*y**3 + 0.\nAnswer: -4*y**2*(y - 2)*(y - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 146, 221, 298, 377, 458, 541?\nAnswer: 626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(4\/5)*g\/((g*g**(-4))\/g*g))\/(g**(2\/5)*g**(-1\/3)\/g) assuming g is positive.\nAnswer: g**(101\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -961*u = -218*u - 205*u + 2152 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -145.48 - -145. Let r = n - -5.48. Let u = -4.4 + 4. Put 22, r, u in descending order.\nAnswer: 22, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17.3 - -17. Let m = -2781\/11 - -253. Which is the third biggest value? (a) m (b) -3\/4 (c) n (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1115*t**3 - 292*t**2 wrt t?\nAnswer: 6690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 10 - 15)*(-3 + 2 + 3)*(0*z - 3*z + z + (0 + 4 - 3)*(-2*z + 0*z + z) - 4*z + 4*z + z - 55*z + 39*z - 133*z).\nAnswer: 2718*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 101 and 1717.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1602, 3166, 4726, 6282, 7834, 9382?\n\"Answer: -2*y**2 + 1570*y + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.1, 3, -1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54 by -38076.\nAnswer: 9\/6346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -1140*z - 24. Let d be x(-4). Suppose -48*q = -36*q - d. Does 27 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3013*p**2 + 8*p - 91. Let g(n) = -n. Give g(u(t)).\nAnswer: 3013*t**2 - 8*t + 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.526 + 2.406. What is the nearest to d in 2, 5, -0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 4:13 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68145 and 21868?\nAnswer: 19353180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 281.24 + -283. Let r = 1.7599774 + k. Round r to six dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a week in hours?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1276502003 to the nearest ten thousand.\nAnswer: -1276500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7965.418 kilograms in micrograms?\nAnswer: 7965418000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 4 - 8 = 0. Suppose 3*f = m*f + 7. Suppose -3*t = -4*u + 34, -5*u + 36 - f = 3*t. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270 = -3135*u + 3130*u - 5*l, -12*u = -3*l + 87 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/4)\/((-2)\/(-24)). Let h(p) = -6 - p + z. Let x be h(-5). Solve -11 = x*s + 4*b, -2*s = 4*b + b + 18 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n**2 + 91*n - 93. Give z(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-1*5 + sqrt(76))\/sqrt(4) + -3.\nAnswer: -4*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.828 to one dp.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + -1 - (-135 + 107)) + (3 + 0 - -5)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4978 divided by -19?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1122 + 3013123?\nAnswer: 3020311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2945*y - 100118. Give f(-34).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 663 = t - o, -6*t + 1989 = -3*t - 4*o. What is the highest common divisor of t and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9909 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -5*j - j. Let b be j - (0 - 3) - 3. Is 7 a factor of b*9\/((-135)\/84)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 5313456.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 9*t**3 - 17*t**2 - 33*t - 17. Let g(c) = c**3 - 2*c**2 - 4*c - 2. Let s(d) = 51*g(d) - 6*m(d). What is the second derivative of s(a) wrt a?\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/(-6))\/(6\/450) + -2?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -116667?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 292554 and 1161.\nAnswer: 37739466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 19.1. Let h = 40.9 - 37. Let u = n - h. Which is the smallest value? (a) u (b) -0.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-196)\/(-637))\/(4\/(-2)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/14*27\/((-4860)\/252).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 296496 and 9088?\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__gcd_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 g = 4*g - 9. Let y be 3\/((-84)\/32 + g). Let m = 12 - y. Solve 17 = -2*q + 7, -12 = 2*s + m*q for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*m + 57. Suppose -4*q + 15 + m = 0. Suppose -z - 19 = -3*o, 5*z = o - 3*o + q. What is the remainder when 22 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 11946.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 g when two letters picked without replacement from {g: 9, c: 3, q: 2, o: 6}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b - 8. Let s be p(-4). Let t be -1 + -4 + 8 - (0 + s). Suppose 5*h - t*i = -36, h + 14 = -0*i + 4*i. Which is smaller: -8 or h?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.134 (b) -1 (c) 1061808\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1226270 is divided by 72018?\nAnswer: 1964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2205 by 13.\nAnswer: -2205\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1836 = 841*k - 790*k for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9146705*r**3 + 15489*r + 89 wrt r.\nAnswer: -54880230*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*r - 21 = 21, 0 = -3*k - 5*r + 42. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 1226404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**4 - 1238*u**3 + 341497*u**2 + 25790016*u + 433972224 = 0.\nAnswer: -32, 651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + k**2 - k + 10. Let i be j(6). Let m = 180 + i. Solve -m*n + 3*n = 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -6. Suppose -2*a + 0*a + y = 0. Suppose 0 = -a*s - 2*c + 29, 0*s - 4*c - 23 = -3*s. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dadpaadayadyydvp. What is prob of sequence ayay?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)\/sqrt(108) - sqrt(25)) + sqrt(25))\/(sqrt(60)\/(sqrt(36)\/sqrt(3) + sqrt(12)) - sqrt(5)).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 715902.\nAnswer: 2, 3, 11, 10847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/36 and -169\/120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 582188428 to the power of 1\/2, to the nearest integer?\nAnswer: 24129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 59\/6 - (18 + (-1417)\/78) and 184?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukum. What is prob of sequence umu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2905471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**5\/5 - 8*z**4\/5 - 391*z**3\/5 + 1082*z**2\/5 + 8364*z + 145656\/5 = 0.\nAnswer: -14, -6, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Let i = 7387\/9 - 821. Which is the closest to i? (a) 656\/5 (b) -3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*x = 5*u - 395, 307 = 4*x + u. What is the remainder when x is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -29054, -116069, -261118, -464201, -725318?\n\"Answer: -29017*g**2 + 36*g - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2230.116 millimeters in kilometers?\nAnswer: 0.002230116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 150111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s - 15. Let h be m(5). Let j(f) = 4*f**3 - 6*f**2 - 6*f - 131. Let k(v) = v**3 - v**2 - v. Let b(o) = -j(o) + 5*k(o). Is b(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*x - 242 - 522 = 772 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52361?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1, 28, 95, 218, 415, 704?\n\"Answer: 3*m**3 + m**2 + 5*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 231 + -389. Let s = 72 + r. Let m = s + 86.0000116. Round m to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3 + 5 - 3*a + 0. Let o be n(5). Let y = -8 - o. What is the lowest common multiple of y and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p. Let k(a) be the first derivative of -5*a**3\/3 - 9. What is k(i(d))?\nAnswer: -45*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44805.\nAnswer: 3, 5, 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51115*k**4 - 25470*k wrt k.\nAnswer: -613380*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2548*p**3 + 2 + 2062*p**3 - 2)*(1 + 0 + 1) to l + x*p + d*p**2 + t*p**3 and give t.\nAnswer: -972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*h - 14*h - 24*h**2 to n + k*h**2 + j*h and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -24*a + 2. What is the remainder when q(-1) is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (3 - 1) - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 910884896?\nAnswer: 2, 29, 751, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o = -45*o + 21*o - 9*x + 9, -x - 6 = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u - 3463 + 11*u - 23*u.\nAnswer: 2*u - 3463","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, 3, 6, -689 in decreasing order.\nAnswer: 7, 6, 3, -5, -689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h**3 - 8*h**2 - 12*h - 23. Give v(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 106*s + 105*s + 20*s - 924. Factor 0*r**3 + 1\/5*r**s + 0 + 1\/10*r - 1\/10*r**5 - 1\/5*r**2.\nAnswer: -r*(r - 1)**3*(r + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 0*z + 8\/9*z**4 + z**2 - 16\/9*z**3 - 6. Find n, given that g(n) = 0.\nAnswer: 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1)**(25\/4)\/(c**1)**40)\/((c**(-2\/7)\/c)**9*(c**(1\/2))**(11\/8)) assuming c is positive.\nAnswer: c**(-2561\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 441513275 divided by 1005725.\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16079457218 and 31?\nAnswer: 16079457249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 29 = 4*k, -71 = -2*k - 61. Solve -16 + 11 = -a*v + 5*d, 0 = 4*v + 4*d - 28 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -w**4 - 88*w**3 + 1674*w**2 - 3080*w - 1959. Suppose n(l) = 0. Calculate l.\nAnswer: -77, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 + -164 + 198?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1168794 is divided by 32465.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2305 is divided by 89?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hffhhff. Give prob of sequence fh.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 11 + 300*d.\nAnswer: 300*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s**2 + s - s)*(3*s**2 - 6*s**2 + 4*s**2) + 2*s**4 - 5*s**4 + s**4 + 10*s**4 + 0*s**4 - s**4 to b*s + u*s**4 + t*s**2 + r*s**3 + q and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*b - 15, 2*b + b - 5 = -2*g. Let l(z) = -58*z + 33. Is l(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2\/3 + 26452*c - 524781228 = 0.\nAnswer: 39678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f - 3. Suppose 4*t + 4*p = -8, 3*t + 4*p + 15 = 6. Let n = t - -3. Let r = -2 + n. Give l(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + 172\/36 + (-488)\/(-2358). Let p = r + -252\/655. What is the closest to 0.1 in -0.02, p, 1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1745, -1773, -1857, -1997, -2193?\n\"Answer: -28*g**2 + 56*g - 1773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -1259*x**2. Let w(r) = r**2 - 53*r. What is w(t(a))?\nAnswer: 1585081*a**4 + 66727*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4\/61, 3, 3\/8, 0.2 in ascending order.\nAnswer: -4\/61, 0, 0.2, 3\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.7 - 15. Which is the fourth biggest value? (a) -1 (b) 5 (c) p (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 6*d, -2*d + 0 = u - 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117951751?\nAnswer: 23, 5128337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 2.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/13 + 866*c**2\/13 - 31742*c\/13 - 15195810\/13.\nAnswer: -2*(c - 269)**2*(c + 105)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s + 48. Determine a(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 - -76. Suppose f = -f + k. Suppose -y + f = y. Calculate the remainder when y is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -15. Let x be (j + 6)\/((-1)\/2). Suppose 0 = 2*t - 0*t - 5*m - 3, 0 = -x*t - m + 9. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**3 - r - 6*r**2 + 12*r**2 + 144 - 182 - 7*r**2 - 3*r**3. Calculate v(0).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 667740 and 1391125?\nAnswer: 16693500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -30096.808 rounded to the nearest 10?\nAnswer: -30100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9153*s - 73587*s + 1557 + 1566 - 3123)*(3 - 2 - 3 + s).\nAnswer: -82740*s**2 + 165480*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2641 and -2546975?\nAnswer: 2549616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*s - 367092, 275355 = 3*j - 21*s + 18*s. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2662*l + 1. Let h(o) = 8*o. Determine q(h(v)).\nAnswer: 21296*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 - 7*l - 7. Let n(f) = f**2 - 4*f - 4. Determine -11*n(u) + 6*r(u).\nAnswer: u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608418?\nAnswer: 2, 3, 19, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -10*d**3 - 2*d**2 - 2*d - 4. Calculate the remainder when q(-2) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - v - 23 + 28 + 2*v - 2*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.1 + 1.21. Let m = 18 - 18.31. Let d = m - k. Round d to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -g + 3. Let r(w) = -w**2 - 9*w + 2. Suppose 0 = 5*a + 42 + 3. Let o be r(a). Solve -12 = -4*y - 4*b, -g*y - b + 3 = o*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -299\/5 - -231\/4. What is the common denominator of -79\/16 and q?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 174 and 36482.\nAnswer: 109446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-70)\/9 - 36\/162. What is the smallest value in 0.2, s, -1\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 3:41 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - j + r = 30, 0 = 3*j + 4*r + 32. Let u = j - -7. Suppose -2*v = -7*v + 2*t + 5, -4*v = 3*t - 4. Does u = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 + 40*m**2 + 20815*m + 61950.\nAnswer: -5*(m - 70)*(m + 3)*(m + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -479, 0.5, 9\/2, 5\/4 in descending order.\nAnswer: 9\/2, 5\/4, 0.5, -479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 7. Find the second derivative of 4 + p - 2*n + 2*n**5 - 12 wrt n.\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k - 14. Calculate v(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2499 + 2506. Which is the biggest value? (a) 1 (b) -0.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 604 + 375 = 5*i, 2*i - 736 = -3*t. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(168\/1113) + -23. What is the greatest common factor of v and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2150 divided by 430.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 11. What is the second biggest value in 0.07, b, 2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -56? (a) 0.1 (b) -4\/23 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 362649.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j + 3 = 0. Suppose -g + j = -5. What is the greatest common divisor of 1 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (164 + 143 + 5)*(j + j - 4*j) + j + 0*j + 0*j.\nAnswer: -623*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7861301 is divided by 34631?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -210? (a) -3 (b) -125.2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 23, 17, 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -2074\/7, 0.25, 4.\nAnswer: -2074\/7, -2, -1, 0.25, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362 - 385 = -23*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22332 - -44768. Let m = 33405 - x. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**3\/3 + 1295971*n**2\/3 - 1295974*n\/3 - 2591944\/3 = 0. What is n?\nAnswer: -1295972, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/13026329 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 - -55. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 1008*v**2 - 5015*v - 80. Calculate j(5).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, -4, -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, x: 3, r: 1}. Give prob of picking 1 x and 1 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001538365 to seven dps.\nAnswer: 0.0001538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -21*h**4\/4 + h**3\/3 + 16. What is the third derivative of v(a) wrt a?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49\/8*b - 1\/8*b**3 + 0 + 25\/4*b**2.\nAnswer: -b*(b - 49)*(b - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*k + 3*y = 77*k - 11, -2*k + 2*y = -2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 5*v**2 - 2*v + 4. Determine z(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2918?\nAnswer: 2, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223 + 19 = 11*d - 39 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -17*q. Let u be q\/2*(42 - 41). Let x = -3 + 7. Solve u*a = a + 5*f - 23, 0 = x*a + 5*f - 17 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - 206?\nAnswer: -1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -0.09, 17, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m + 6*m - 1526883*m**2 - 5*m + 1546603*m**2 to h*m**2 + i*m + t and give h.\nAnswer: 19720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 3\/109736 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*s - 10. Suppose -4*w = -2*j - 20, -s*w + 20 = -0*j + j. Let v(y) be the third derivative of y**6\/120 + y**3\/3 + 16*y**2. Calculate v(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**3\/4 - 357*s**2\/8 + 273*s\/4 - 183\/8 = 0?\nAnswer: -61, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 23 = -g - 5*a, -3*g - 3*a + 33 = 0. Let s = g + 38. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 2*w + 2. Let m(z) = 3*z**2 - 7*z + 7. Let a(x) = 4*m(x) - 14*v(x). Let d(u) = 6*u - 20*u - 7*u - 6*u. Calculate a(d(l)).\nAnswer: -1458*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -17*m**3 + 5*m**2 + 5*m - 17. Let t(a) = 4*a**3 - a**2 - a + 4. Calculate -2*p(j) - 9*t(j).\nAnswer: -2*j**3 - j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.003 - -0.233. Let b = 0.14 - d. Let y = b - -0.08999955. What is y rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k + 1. Suppose 5*a - 4*g = -13, -4*a - 4*g + 6 = 2. Calculate x(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 1. Let o(t) be the first derivative of -t**4\/2 + t**3\/3 - 3*t + 222. Let c(w) = w**3 + 1. Calculate f*o(d) + 6*c(d).\nAnswer: 2*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, d: 2, w: 8, h: 4}. Give prob of picking 2 d and 1 h.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15786 and 0.8.\nAnswer: -12628.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 14*k**2 - 5*k - 3. Let t be j(-3). Suppose 0 = -3*f + t + 27. What is the greatest common factor of 11 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wmsfe. What is prob of sequence mswe?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 + (-3 + -145 - -168)?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 8 = 4*r, 32 = 37*l - 41*l + 4*r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1*0\/2)\/(2316\/(-386))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 135 - 131. Suppose 533 = 5*p - 2*x, -c*p + 425 = 3*x - 6*x. What is the remainder when p is divided by 38?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - 3\/((-21)\/(-3563)). Let q = -539 - i. Which is smaller: -38 or q?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 146\/9 + 2\/(-9). Suppose -j = -y - 23. Suppose -3*o = -5*l - j, -o = -3*l + 6*l + 1. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278*g**3 - 279*g**3 + 554*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -28815 divided by 2523?\nAnswer: -9605\/841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (32\/(-12))\/((-34)\/51). Suppose -2*i = c - 7*i - 7, 6 = c - r*i. What is the greatest common factor of 94 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*p + 1075580 = -22*p. Suppose 16*x + 6*x = p. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -72*c. Let z = 182 + -180. Let x(h) = -48*h**2 - 41*h**2 + 91*h**z. Calculate v(x(s)).\nAnswer: -144*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 10, -2, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**2 + 36*t - 32 = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1008) - (sqrt(63) - (2 + sqrt(1575))))**2 + 3 + (sqrt(7) + sqrt(7)*6*-3)*5.\nAnswer: 59*sqrt(7) + 9079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 12314, 5, -2, 99 in increasing order.\nAnswer: -2, 5, 99, 12314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 10641\nAnswer: 5\/10641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -296090 (base 11) in base 9?\nAnswer: -773614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**6 + 2747976*c**5 + 49644*c**2 + 210 wrt c?\nAnswer: 240*c**3 + 164878560*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -5, -1, -292 in increasing order.\nAnswer: -292, -10, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 788.1594 nanograms to milligrams.\nAnswer: 0.0007881594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52462069369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 3\/2 (c) -3 (d) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/3*o**3 + 125\/3*o - 50\/3*o**2 + 0.\nAnswer: 5*o*(o - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9764*k*w*y - 10*k*w + 1014*w*y + 92*w + y + 2 wrt k?\nAnswer: 9764*w*y - 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 20 = -x, 2*x = -0*x - 4*z + 32. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {p: 7, b: 6}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 k when two letters picked without replacement from {k: 10, s: 1, r: 9}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -86305 and -170.\nAnswer: 14671850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 7*a - 5. Let m be o(4). Is -18 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 338*h - 15446. Calculate v(-55).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 186244694?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38 and 494.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -0.104, 0.046, 0.5, 24, 2\/5, -0.3?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*a - 12, -2*o + o = 5*a - 44. Put a, -1, -2, 2 in increasing order.\nAnswer: -2, -1, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2 - 1.44. Let h = -0.76 + q. Which is the closest to h? (a) 0.3 (b) -1\/5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*p = -778*p + 608 + 8726 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6670 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*k + 104*k - 77*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -40*f**5 - 1538*f**4 - 62462*f**3\/5 + 222998*f**2\/5 - 22042*f - 42436\/5 = 0. Calculate f.\nAnswer: -103\/5, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 600, 602, 604?\n\"Answer: 2*b + 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + l**2 - 1. Let i(f) = 7*f**3 + 26*f**2 - 25*f - 76. Let q(d) = -6*b(d) + i(d). What is q(-21)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 535913417 to the nearest integer?\nAnswer: 23150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 + 17*x**2 + 5*x - 16. What is j(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.172678 - 2637.\nAnswer: -2641.172678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 5*o**2 + 7*o - 6. Let f be m(4). Suppose n = f + 3. Let q(p) = -p**2 - 4*p + 17. Let g(y) = -y + 4 + y - y. Calculate n*g(z) - 2*q(z).\nAnswer: 2*z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, b: 1, r: 1, k: 3, z: 4}. Give prob of sequence zz.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/36921 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t - 781 - t**3 + 789 + t + 38*t**2 wrt t?\nAnswer: -6*t + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-115)\/(-552)*224\/490.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 90.885 litres?\nAnswer: 90885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/((-60)\/(-128)) + 4 + -1. Suppose 33*g - 100 = 164. Are g and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (11 - (-14 + 15)) + -6. Solve d + 3*b - t = -2*b, d + 2*b - 4 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 - 11517*c**2 + 434154*c - 3192840.\nAnswer: 3*(c - 3801)*(c - 28)*(c - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6552957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from stnqxnmntttt. Give prob of picking 1 q and 1 s.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-48)\/(-40))\/((-6)\/(-20)). Solve 0 = -4*j - 0*j + 2*w + 16, 5*j + i*w = -6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 6*r**2 + r + 8. Let a = 12 - 18. Let u be l(a). Differentiate 3*x + 5*x - 5*x - u - 6*x with respect to x.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**5\/60 + 5*l**4\/24 + l**3\/3 - l**2. Let c be d(-4). Is (13\/c)\/(2\/(-44)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 90549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*n - 15*n = 3*m + 435, -23 = 3*n - m for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.169 in -3, 2, -0.15, -1\/3?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 2*u - 12, -3*r = -5*u + u - 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*h - 24 = 0, 4*b - 12 = h - 0*h. Let k be (27*b)\/((-12)\/12). Let x = k + 161. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 + 15906339*s**2 + 21084023334888*s - 737960302114980.\nAnswer: 3*(s - 35)*(s + 2651074)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 183068 divided by -4?\nAnswer: -45767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.215 > 166331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -9*p + 10. Is i(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 131*i**2 - 4737*i + 746. What is h(36)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81741.\nAnswer: 3, 11, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*b - 9*b**3 - 346*b + 172*b - 6*b**3.\nAnswer: -15*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*(sqrt(306)\/sqrt(2) - sqrt(17) - sqrt(17)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (38 - 11) + 4 + -19 - 107\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 71046 and 16.\nAnswer: 568368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from {n: 1, b: 11}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -13\/264, 5, 10\/3 in decreasing order.\nAnswer: 5, 10\/3, -13\/264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2200.629 litres to millilitres.\nAnswer: 2200629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 1. Let l(p) = 4*p**3 + 20*p - 11. Let s(j) = l(j) - 5*y(j). Let r(w) be the first derivative of s(w). What is the derivative of r(v) wrt v?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10301 - 333353?\nAnswer: -323052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002103 rounded to 4 dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 34 - 2 = 4*p, 5*x - 12 = 2*p. Factor 4*j**x - j**5 - 2*j**4 + 3*j**5.\nAnswer: 2*j**4*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dl when two letters picked without replacement from {w: 6, q: 1, o: 6, d: 1, l: 4}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8016.686kg?\nAnswer: 8016686000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*v + 22, -3*m = -8*m + 3*v - 13. Calculate the remainder when 2 is divided by ((-4)\/10)\/(1\/m).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 a when three letters picked without replacement from {h: 1, e: 2, u: 3, b: 1, a: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133350*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/4 - 117\/(-6). Let t = s - 14. Let j = 0 - -2. Put t, j, -2 in decreasing order.\nAnswer: t, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -162, -238, -310?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 6*g**2 + 15*g - 6. Let n be q(-8). Suppose -5*w = n*w. Find r, given that 1\/4*r**3 + w*r**2 - 1\/4*r**4 + 0 + 0*r = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 4*l**2 + 2. Let u(z) = -z**2 - 7*z + 11. Let r be u(-8). Is 8 a factor of a(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 98 or 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.01 or 2\/2961?\nAnswer: 2\/2961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/100*(-1)\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5083\/14 + 721\/2. What is the common denominator of a and 89\/92?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -434 + 433. Which is greater: 1\/12 or t?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 0)\/3 + 3. Let u be 1\/(-4) + c\/(-4). Let s(m) = -40*m. Is s(u) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.15934 - 154949392.\nAnswer: -154949392.15934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 16*y + 21. Let d be f(-17). Suppose -3*m + 7 = d*m. Calculate the smallest common multiple of 4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -3*d - 9, 12 = 2*d - 6*d + 4*j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -51960151?\nAnswer: 3\/51960151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 30 = -4*a - 3*q, 0 = -5*a + 4*q - 45. Let p(d) = d**2 + 5*d + 1. What is the remainder when 1 is divided by p(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -32. Suppose 2 = -3*t - 4. What is the units digit of (-4 - (0 + t)) + p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*l**3 + 9*l**3 - 4*l**3 + l**2 - 5*l**3 - 13*l + 364*l in the form b*l**3 + n*l**2 + k*l + d and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 22226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-4) + 127\/4. Let t be x\/4 - (-2 - 1). Suppose -18 = 5*i - 8, 0 = 2*h - 4*i - 16. Solve h*k - w + t = -0*w, 2*w = -2*k + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1307220 and 261444.\nAnswer: 1307220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**27\/(s\/(s\/s**(-18)))*(s**(-10)*s)**(-1))**10 assuming s is positive.\nAnswer: s**540","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j**2 - 14*j + 10. Let t(d) = -17*d**2 + 57*d - 40. Let y = 242 - 236. Let s(n) = y*t(n) + 26*u(n). Determine i, given that s(i) = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -b + 6*b - 147, 0 = 3*b + 3*g - 84. Suppose -2*z + 19 = -b. What is the remainder when (6 + 34 - -25) + 0 + 2 is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 - (3 - (3 + -1)\/(-2)) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + z + 12 = 0. Suppose -4*c + k - 6*k - 21 = 0, 5*c + 15 = -z*k. Let g be 1 + 0 + c*-921. Round g to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - (-144 - -185) - (1 + 0 + -5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1684 = 24*b + 1924 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -45*35\/(-189) + 1 + -9\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -3. Let j = -3 + l. Let f be j - ((-3)\/9 + -1). Which is the closest to f? (a) -5 (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u - 5. Let k be c(4). Let h(d) be the third derivative of d**5\/60 - d**4\/2 + d**3\/6 + 11*d**2. Calculate the common denominator of h(k) and 77\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2584351 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2295628291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**9*o)\/(o**(3\/5)*o) assuming o is positive.\nAnswer: o**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19553 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -328155847 and 525.\nAnswer: -328155322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -602, -605, -608, -611, -614?\nAnswer: -617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/1045 and 43\/380.\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.25 rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 3630.\nAnswer: 7260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 163491985 to the nearest integer?\nAnswer: 12786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8630.274 nanograms in micrograms?\nAnswer: 8.630274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 - -38.0000644. Round y to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 + -67.7. Which is smaller: k or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/2)\/(-6*1*(-1771)\/(-1518)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 11.5\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*l**2 + 76*l**2 - 90*l**2 to p*l + m*l**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 483 and -10511.\nAnswer: -5076813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6386, -6317, -6232, -6131, -6014, -5881, -5732?\n\"Answer: 8*u**2 + 45*u - 6439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fed when three letters picked without replacement from femedffffffppfddpf.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.41 from -2.578888.\nAnswer: -1.168888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 8) to base 2\nAnswer: -11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45 or 970\/21?\nAnswer: 970\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3 - 15*k**2 - 63*k - 56*k - 41*k + 3*k**3 + 137*k. Let p(r) = r**3 - 8*r**2 - 11*r - 1. Let a(w) = 2*l(w) - 5*p(w). Give a(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eyey when four letters picked without replacement from {e: 2, y: 8, c: 2, i: 1, t: 1, x: 1}.\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 4*s, -6*l - 21 = -l + s. Let t = -1 - -3347. What is the hundreds digit of (-6)\/l - (t\/(-4))\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*k, -2*k + p - 11 = 2*k. Let l = -0.05 - -0.02. Let c = -5926 + 5926. What is the fourth biggest value in k, l, c, -2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3 = 4*x, -5*f - 1 = 3*x - 2. Let g(q) = 32*q**2 - q - 1. Is g(f) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n*q*y**3 + 2*n*q - 60*n*y**3 + n*y + q*y**3 + 2*q*y + 16*q wrt y.\nAnswer: 12*n*q*y - 360*n*y + 6*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.7712076 minutes?\nAnswer: 0.01285346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 7*w**2 - 7*w - 3. Let k be l(-6). Suppose 0 = 5*s - 4*d - 3, -k*s + 8*s + d + 7 = 0. What is the units digit of (5 + -42)\/(s\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.99 - -0.79921778397.\nAnswer: -11.19078221603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3)*(-d - 2*d + d)*(2 - 2 - 1)*(23*d**2 - 13*d**2 - 2*d**2).\nAnswer: 48*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + -14 - -2) + (-6 - -73) + -62 + 36.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10527 and 35574?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 832.3924 rounded to the nearest ten?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186 divided by 33111.\nAnswer: -62\/11037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*n - 5*m + 3 = 0, 4*n - m - 3 = 0. Let y = 1 - 0. Suppose -2*a + 5 = -3*k, -2*a = -2*k - 5 + y. Is k > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1462360505 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*n*p**4 + 8*n - p**4 + 30*p**3 + p**2 + 33 wrt p?\nAnswer: 120*n*p - 24*p + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-471)\/(-2))\/1 - 9\/6. Suppose -13*w = -t - 1157. Let r = w + -61. Does 23 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/864 and -73\/1248.\nAnswer: 11232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*g + 5*d, 5*g + 2*d = 2*g + 27. Suppose -1 = 3*r + 4*z, 4*r - 5*z - g = -0*z. Calculate the greatest common divisor of r and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + l - 17 = 0, -23 = -2*c - 1269*l + 1266*l. Find o, given that -2\/7*o**c - 20\/7 - 54\/7*o - 50\/7*o**2 - 18\/7*o**3 = 0.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11059?\nAnswer: 11059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16 - 2*2\/2. Suppose y + 4*q - t = -1, 0 = 3*y - 4*q + 41. Let s(g) = -8*g - 1 + 2 - 3. Let p(m) = 7*m + 2. Determine y*p(o) - 6*s(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(-16))**(-11\/4)\/(((y*y\/(y*y\/(y\/(y**33*y))))\/y)\/(y\/(y*y*y**(-2\/25)))) assuming y is positive.\nAnswer: y**(-821\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 6:56 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 69? (a) 1\/7 (b) -1 (c) -17\/93 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -107429 (base 11) in base 8?\nAnswer: -515603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 21656698648971?\nAnswer: -21656698648970.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1016 and 52959.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -402300?\nAnswer: 402304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 14. Let z = 13.3 - l. Let c = 0.4 + z. What is the second biggest value in -0.2, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76500 divided by -2125.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 9*g**2 - 2*g - 12. Let a be f(-9). Suppose a*q = -q + 35. Solve 15 = 5*i + q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3470, -3791, -4110, -4427, -4742, -5055?\n\"Answer: b**2 - 324*b - 3147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 20. Let j be w(17). Solve -5 = -j*q - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s**(10\/3))*(s\/(s\/(s**(-13)*s))*s)\/s assuming s is positive.\nAnswer: s**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*a**3 + 59978*a**2 - 411090*a wrt a.\nAnswer: -24*a + 119956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + -1)*(-3)\/2. Let f = k - -3. Solve y + y + 4*v = f, 3*y + 3*v = 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxgxxvxxxgxxxvxxxx. Give prob of sequence gv.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, w: 1, u: 1, g: 1, o: 1, v: 1}. What is prob of picking 1 w, 1 h, 1 u, and 1 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 g when two letters picked without replacement from {f: 1, r: 5, g: 2, j: 3, v: 1, u: 1}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y - 2. Let b be q(4). Let a be -1 + 0 + b + -3. Let s = 60608 + -60608.04. Is a at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -12, 3\/5, -3 in decreasing order.\nAnswer: 3\/5, -3, -12, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 l, and 1 k when three letters picked without replacement from akejkjljloejaa.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 10:03 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 943?\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4335*q. Let k(b) = 174*b + 2. Calculate c(k(h)).\nAnswer: -754290*h - 8670","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-1 - (-7 + 12 + -17))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 3*t + 30, 2*t + 11 = -4*b + 3*b. Let d be (-2 - -3) + (t - -6). Suppose -6*l + d*l + 3126 = 0. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/699 and 0.06 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1699931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vevyvygvyevvgvyeey. Give prob of picking 2 y, 1 e, and 1 g.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 515 and 265204297?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -126, -295, 16, 4.\nAnswer: -295, -126, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 800257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**2 - 5*u + 193 + 3*u**3 - u - 193.\nAnswer: 3*u**3 - 7*u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 13*o**4\/24 - 5*o**3 - 8*o**2. Let p be f(5). What is the greatest common divisor of p and 315?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 p when two letters picked without replacement from pvpppppppvppp.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1351 minus 951?\nAnswer: -950.8649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3118993 is divided by 23808?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12093673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264*g = -249*g - 2520. Solve -38*r = 18*r + g for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -727, -727, -773, -895, -1123, -1487?\n\"Answer: -5*k**3 + 7*k**2 + 14*k - 743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.6 and -8.11.\nAnswer: -8.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1106 - -1109.47. Round w to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 11:28 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 764*(-7)\/(-16)*4*(-1 + 3). What is the highest common factor of j and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + -6 + 0 - -12.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 - 2112*f**3 + 43233*f**2 - 139332*f.\nAnswer: 3*f*(f - 683)*(f - 17)*(f - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -17330 minus 0.1293811819?\nAnswer: -17330.1293811819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -19.9. Let w = f + -3. Let o be 12\/(-9)*2\/(-20). What is the nearest to w in 4, 0.3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*k + 4*u, -3*u - 1 = -k - 6*u. Which is the closest to -2\/7? (a) 3\/2 (b) k (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7488?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -1)*(5 + 7 + -3). Let j = 11 - a. Calculate the highest common factor of 6 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.08 (b) -175 (c) 28\/5 (d) -5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + 36. Let f = a + 14. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7718)\/238 + 34)*(-40)\/(-80).\nAnswer: 11\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9 - (-15 + 4 + 1). Suppose p*k = -5*q + 24*k + 8390, -q + 1690 = -5*k. What are the prime factors of q?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p + 37. Let k be f(-17). Suppose -k*g + 51 = -0*g. What are the prime factors of g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 - 33. Let y = o - -71. Is -52 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 608297258?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 58*o - 5 - 97*o.\nAnswer: -39*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -471\/4 + 117. Let c = 1\/4 + g. Which is smaller: c or 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 173.33 - 0.33. Let k = 60 - g. Let d = -112.999997 - k. Round d to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19.8 + -22. Let q = i + -0.8. Which is the third biggest value? (a) q (b) 2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*h = -56. What is the tens digit of 0 - 3 - h\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**2 + 2*m**2 - 2*m**2 + m**2 + m**2 - 4*m**2 + (-2*m + 2 - 2)*(2*m - 3*m + 2*m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 8. Let y be 4 - (2 + l + 1). Solve 0*j + y*j - q = 24, -2*q + 2 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 49.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0\/i)\/i**2)**(-6)\/(i**0\/i*i*i*i**3*i*i*i**1\/(i**(1\/2)\/i*i*i)) assuming i is positive.\nAnswer: i**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2986 + 2985. Let h(w) = 13*w**2 - 1. Let x be h(-1). Suppose 2*o = -x - 0. Put n, 3, 1\/5, o in ascending order.\nAnswer: o, n, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2141209.\nAnswer: 7, 499, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(((-72)\/(-21))\/(-6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 66 = -4*t. Let o = -15 + t. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -6*p**5 - 8*p**4 + 6*p**3 + 4*p**2 - 8*p - 4. Let v(o) = -13*o**5 - 17*o**4 + 12*o**3 + 7*o**2 - 16*o - 9. Let x(h) = -4*v(h) + 9*y(h). Factor x(l).\nAnswer: -2*l*(l - 1)**2*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**2 - 14*j - 900 = 0.\nAnswer: -18, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 8:53 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**4 - i**4 - 2*i**4 - 2*i**4 - i**4 + 0*i**4 + (-3*i - 2*i + 7*i)*(-2 + 2 - i**3).\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2896*t**3 - 5*t**2 + 1814*t - 20. Let w(x) = 1447*x**3 - 3*x**2 + 906*x - 12. Let f(v) = -3*u(v) + 5*w(v). Find the second derivative of f(a) wrt a.\nAnswer: -8718*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5195*g - 1527*g**3 + 5735*g + 6 - 4 + 10*g**2 - 10*g**2 wrt g.\nAnswer: -9162*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -d + 117. List the prime factors of d.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, 3 in decreasing order.\nAnswer: 6, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2423 + -1?\nAnswer: 2422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 0 + 2 - 609*a - 3*a**2 + 607*a - 2*a**3. Give r(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 103827654 by -14.\nAnswer: -7416261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {i: 2, s: 7, y: 4, p: 1, b: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 3 + 3)*(1 - 2 + 4) + (a - 4*a - a)*(-10 + 35 + 26).\nAnswer: -192*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*1 - 2\/2. Let l be ((-3)\/(-9))\/(-1*(1 - 0)). What is the nearest to 1 in w, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -2) + (62 - 57)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 104 divided by 82\nAnswer: 52\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -21*d + 874. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67\/210 - 2\/105. Calculate the common denominator of l and -23\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6803, 6260, 5585, 4712, 3575?\nAnswer: 2108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 6423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*m**3 + 7*m**3 + 9*m**3)*(3*m - m + 1 + 0) to the form b*m**4 + a + t*m**3 + l*m + h*m**2 and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -416 + 1029. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 46 - 10 = 0. Find the common denominator of (-53)\/(-3) + (-1)\/2 and ((-89)\/t + 2)*10.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53814, 53825, 53850, 53895, 53966?\nAnswer: 54069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -11226281.\nAnswer: -11226281.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/4 + 9303*d**3\/4 - 27915*d**2\/4 + 27917*d\/4 - 4653\/2.\nAnswer: (d - 1)**3*(d + 9306)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1070 is divided by 286?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417983 is divided by 5887?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 339 + -343. Put 0.03, b, -1\/43 in decreasing order.\nAnswer: 0.03, -1\/43, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 362\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3824680 divided by 5\nAnswer: 764936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.1212, -0.4, -1 in decreasing order.\nAnswer: 0.1212, -0.4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -22*i**3 - 6*i**2 + 5*i - 5. Let n(z) = -27*z**3 - 5*z**2 + 6*z - 6. Let q(l) = -6*b(l) + 5*n(l). Factor q(c).\nAnswer: -c**2*(3*c - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 829844 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from cctcccccccccccctccc.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(1\/4)*h**(-2)\/h)\/(h\/h**(2\/9)*h*h)**(-2\/135)*(h**(-1\/14)\/h**1)\/(h\/(h*h**3)*h*h**(-3\/8)) assuming h is positive.\nAnswer: h**(-12319\/13608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77807*n**3 - 2*n**2 - n + 404230?\nAnswer: 466842*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -189, -164, -6, 18, -2, -4 in descending order.\nAnswer: 18, -2, -4, -6, -164, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-4) - (-949510)\/8. Suppose -5*i = -4*i - w. Let u = i - 18689. What is u rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-40) - ((-3270126)\/120 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 665 divide 7273105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 31181039 and -421942.\nAnswer: 30759097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -92, -74, -54, -32, -8?\n\"Answer: c**2 + 15*c - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 2. Let v be p(3). Suppose 0 = 3*m + v*q + 10, -3*m + 4*m = 2*q + 4. Let l = 3 - m. Solve -l*d - 5 = -8*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -24*j + 62. Suppose 0*a - 23 = -a - j*g, -3*a - 5*g = -39. Calculate the highest common divisor of 392 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 59631354 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 39654804913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110111011101011 (base 2) to base 8.\nAnswer: -367353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, p: 1, i: 2, o: 4}. Give prob of sequence ooi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(117)*-2 - sqrt(117)))**2 - sqrt(117)*2*-3)*5.\nAnswer: 90*sqrt(13) + 21060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -7.01 >= 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3076, 12099, 27198, 48373?\nAnswer: 75624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46112 is divided by 120?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**2 + 73586*w + 147164 = 0.\nAnswer: -36791, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, p: 4, n: 1, f: 4, u: 2}. Give prob of picking 1 p and 1 f.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/((n*(n*n\/(n*n\/(n\/((n*n\/(n*n\/(n*n*n\/n**0)))\/n)*n)*n*n*n))\/n)\/n)*n**3\/n*n*n**(-2)*n**(2\/3)*n assuming n is positive.\nAnswer: n**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.318 + 0.318. What is the second biggest value in 0.07, -1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f - 9*f**4 + 8*f**4 + 4*f + 5*f**4 + 4*f - 4*f + (f**2 + 2 - 2)*(-2*f**2 - f**2 + 2*f**2).\nAnswer: 3*f**4 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -333*v - 50955. Determine l(-152).\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(425) + -4)**2.\nAnswer: -40*sqrt(17) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = -2. Suppose 0 = 2*a - 4. Suppose 3*b = -a*s + 7, 0*s + 20 = -5*s. What is the third biggest value in i, 4, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11077468.8 and 24.\nAnswer: 11077492.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4289854 divided by -3?\nAnswer: 4289854\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-66)\/4*91\/(-351)*18).\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -73 > -70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4828 and 7526.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + (13 - 4) + -31 + 37?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**3 + 3*v**2 + 7*v - 3. Let i(z) = -8*z**3 + 5*z**2 + 14*z - 5. Let u(h) = 3*i(h) - 5*r(h). Find the second derivative of u(k) wrt k.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 434353.597 rounded to the nearest 10000?\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5 - 0) + 11 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - q + 3*q + 4, a = -4*q - 2. Put 0.2, a, 2\/9 in increasing order.\nAnswer: 0.2, 2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26037937 is divided by 889.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/5, 14, 611\/38?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 10*w - 63189. Let k(z) = 16*z. What is l(k(d))?\nAnswer: 160*d - 63189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oxxu when four letters picked without replacement from xuoxbxvoxbbxx.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -3656126485771 and 0.02.\nAnswer: -3656126485770.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 25.4. Let u = -0.0135 + -81.9265. Let n = u - -82. What is the third smallest value in -5, -0.5, n, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**4\/7 - 40538*z**3\/7 - 81062*z**2\/7 + 121602*z\/7 = 0.\nAnswer: -20267, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4 - v + 2*v + 2*v. Let f(c) = -2*c - 3. Calculate -5*f(s) - 4*t(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 655, 1236, 1739, 2164, 2511, 2780?\n\"Answer: -39*p**2 + 698*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -12. Suppose 0*a - 12 = -3*y + 4*a, o*y = 4*a + 8. Solve 2*l = y*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o**2. Let y be ((-8)\/6)\/((-2)\/6). Let j(m) = y*m - 3*m - 2*m. Give j(h(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -125, -498, -1119, -1988?\n\"Answer: -124*a**2 - a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 12. What are the prime factors of 512\/88 + 2\/b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194 + 33 + 4 - 12*n.\nAnswer: -12*n + 231","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**4 + 4383*r**3 + 107073*r**2 - 227283*r + 115830 = 0.\nAnswer: -26, 1, 1485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160 + 153 - 313 + 3*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-99)\/(-462)*4\/2.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-55)\/(-15) - (-3)\/9. Suppose -d + 38 = -30. Suppose -a = 2*c - 13, d = x*a + c + 3*c. Calculate the remainder when a is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -4, -10, -5, 3, 0 in ascending order.\nAnswer: -10, -5, -4, -3, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 - 15456*v + 7741*v - 6*v**2 + 7713*v.\nAnswer: -4*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2 - (18 - 225\/18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 836510533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.063145 - 3357.106?\nAnswer: -3357.169145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6 = -2*j, 5*j - 2*j + 9 = -4*t. Let m be 0\/(t + 0 + 2). Let y = 25 + -9. Solve m*w + 4*w = -y for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128715811.\nAnswer: 7, 109, 168697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 13*f**2 + 4*f + 4. Let o(i) = 90*i**2 + 27*i + 27. Suppose 17*q = -52 - 16. Determine q*o(p) + 27*g(p).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -84 - 60. Let m = -51 + p. What is m rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3\/((g**(1\/16)*g)\/g))**11\/(((((g\/(g**2\/g))\/g)\/g)\/g)**(1\/6))**(4\/19) assuming g is positive.\nAnswer: g**(9855\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -7, 2, 0.3 in ascending order.\nAnswer: -7, 0.3, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1014691344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = u + 4*u. Let l be -1*(-9 + -3) + u. Suppose 0 = t + a - 5, t = 2*a - l. Sort 2\/9, -0.1, t in ascending order.\nAnswer: -0.1, t, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**8\/20160 + 5*i**5\/4 + 129*i**2. Let f(w) be the third derivative of l(w). Let g(b) = -2*b**2 - 28. Calculate f(g(t)).\nAnswer: -4*t**4 - 112*t**2 - 784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5ad4c4 (base 15) in base 11?\nAnswer: 24aa864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 11*v**5\/30 - 17*v**4\/24 - 13*v**3\/6 - 2*v**2 + 6. Is c(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 6:43 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -443*c**3 - 15048?\nAnswer: -1329*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**3 + 1. Let s be n(-1). Let k(h) = -3*h**2 - 2*h - 1. Let d be k(-2). Let o = s - d. 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 the value of -6 + 1 + -3 + -1 - (41 - 71)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h. Let k(b) be the second derivative of b**6\/90 + b**3\/6 + 2*b. Let i(t) be the second derivative of k(t). Determine i(x(l)).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v**(-8)))\/v)\/v**(4\/9))\/(v\/(v*v**0))**21 assuming v is positive.\nAnswer: v**(59\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 87, 1, -8, 4 in ascending order.\nAnswer: -8, 1, 4, 12, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13669, -13900, -14285, -14824?\nAnswer: -15517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**5\/60 - l**3\/3 + 6*l**2. What is k(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4618, -9249, -13880, -18511?\nAnswer: -23142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2315 - -3051. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 989060726.\nAnswer: 2, 494530363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -548 - -620.7. Let f = k - 70. Let x = f - 2.70000081. Round x to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, r: 5, n: 3}. What is prob of sequence rvnv?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-2) - -1)*-22. Let h(j) be the first derivative of -6 + 7\/2*j**2 + 4*j. Let t(f) = 13*f + 7. Calculate m*h(g) - 6*t(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3880 and 17363.\nAnswer: 694520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 - 3*o. Let x(m) = -3*m**2 + 5*m. Let n(t) = -5*s(t) - 3*x(t). Let u(k) = 237*k. What is n(u(g))?\nAnswer: -56169*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 12*i**2 - 10*i + 34. What is the remainder when d(3) is divided by 26\/((-5)\/((-20)\/8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 7335.\nAnswer: 2200.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z + z + 2*z)*(-28 + 28 + 3*z)*(-z**2 + 3*z**2 + 0*z**2) - 1 + 1 + z**4.\nAnswer: -17*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -323, -323, -315, -293, -251, -183?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 22*i - 17. Let k be o(-4). Let g = 107 + k. Suppose 2*s - g*x - 648 = 0, s + 2*x - 314 = 5*x. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3324 (base 5) to base 9.\nAnswer: -565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -11*a**2 + 6*a + 7. Calculate i(5).\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12640\/9 + -1406. What is the smallest value in t, 7, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q**2 + 6786*q + 1132 - 114*q**3 - 6786*q with respect to q.\nAnswer: -342*q**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*k = -19, -2*k - 14 = -2*o - 2*o. Suppose -b = -7 + o. Solve 0 = 2*f - 3*d + b, f + 3*d - 8 = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2849000 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 500 - 499.94. Sort 4, c, -1\/4, 1\/214 in descending order.\nAnswer: 4, c, 1\/214, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2711, 5458, 8191, 10904, 13591, 16246, 18863?\n\"Answer: -r**3 - r**2 + 2757*r - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2365 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -21*x**3 + 318*x**2 - 44*x - 7. Determine u(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/13634640 and 107\/97950?\nAnswer: 68173200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 14. What is the second smallest value in t, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -b + 4*t, 14*b + 8 = 16*b + 4*t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 8 + 10. Let t(d) = d**3 + 10*d**2 + 9*d + 2. What are the prime factors of t(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -17. Let z(p) = -3*p - 1. Let f(q) = -4*q - 2 - q - 3*q. Let v(i) = -21*i + 101. Let o be v(5). Calculate l*z(x) + o*f(x).\nAnswer: -x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - -31)*(-1)\/(-3). Suppose -w = v + 10, 50 = 7*v - a*v + w. Let t(d) = -3*d - 23. Is 4 a factor of t(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i - 1459523247 = -117655377. Let r = 3777793 + -1876603. Suppose i + r = 4*b. Round b to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 922375778?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -37 in ascending order.\nAnswer: -37, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + -1*(sqrt(65) - (sqrt(65) + -2*sqrt(65))))\/((sqrt(5) - (sqrt(5) + sqrt(180)*2)) + sqrt(5)).\nAnswer: sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 8:32 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**5\/6 - k**3\/6 + 2*k**2 - 470*k. Determine j(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 1\/3, 7.6 in decreasing order.\nAnswer: 7.6, 4, 1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -j + 13, j + 7 = -n + 2*n. Let b = 6 + n. Suppose 0*p - b = -p. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, s: 2, l: 2}. What is prob of sequence ks?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z. Let u be c(-4). Suppose -5 = -l, 2*j - 267 = u*l + 119. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1933105000 rounded to the nearest one million?\nAnswer: -1933000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32421331?\nAnswer: 32421331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.4225 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 + 253 = -24*a + 1255. What is the lowest common multiple of 52 and a?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 399 + -399. Let y = 7796\/13 - 599. Let f = y - 103\/130. Is f smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1096, -1095, -1094, -1093, -1092, -1091?\n\"Answer: d - 1097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 - 33. Let h be (-52)\/(-12) + (-2)\/(-3). Suppose 0 = 3*o - 4*m - 31, -5 = 3*o + 7*m - 2*m. Solve -b - 3*a = -a - 1, v = b + h*a + o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-308)*-14 + (2 - (-182)\/42).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7923456?\nAnswer: 2, 3, 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(9072) - (sqrt(9072) - (sqrt(9072) + sqrt(9072) + sqrt(9072)*1 - sqrt(9072))))*-6)\/(-1*sqrt(225) + sqrt(108)\/(sqrt(84)\/sqrt(7))) + -1)**2.\nAnswer: 144*sqrt(7) + 36289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56142679.\nAnswer: 56142679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1f (base 16) to base 11.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5*(sqrt(76) + 1) + 4*3*sqrt(76)*1)**2.\nAnswer: -280*sqrt(19) + 3824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + i + 916 = 911, 2*n + 4*i - 30 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, w: 3}. What is prob of sequence aaa?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 5:54 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**5\/3 - 90*o**4 + 3082*o**3 - 8978*o**2\/3.\nAnswer: 2*o**2*(o - 67)**2*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15401255551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**3\/6 - h**2 + 2*h - 464. Let o(a) = a**2 - 5*a + 11. Calculate 22*i(f) + 4*o(f).\nAnswer: 4*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 946 - 238 = 0. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxf when three letters picked without replacement from kxkpykxxffffxfkkpfxp.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 5*b + 2*b. Let f(v) = -4*v**2 - v. Calculate c(f(p)).\nAnswer: 8*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/184 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 320000433 + -1040?\nAnswer: 314444343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -1055*b - 110779. Give m(-105).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 4*w - 4*w)*(2 - 1 + 0)*(-10*w - w + 3*w).\nAnswer: 80*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**2 + 41*i - 18. What is h(-14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 345 and 7005?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 7*a**2 - 11*a + 12. Let h be q(6). Suppose -x + 0 - 2 = 0. Let n be (-8)\/h*(-3)\/x. Do 2\/5 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 7857?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6*q + 5*u - 355 = 0, -76 = q - 2*u. Let v = q - -96. Calculate the least common multiple of 21 and v.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 - 12176*d**2 + 514838*d - 502660.\nAnswer: -2*(d - 41)*(d - 1)*(d + 6130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 788, 798, 820, 860, 924?\n\"Answer: a**3 + 3*a + 784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 3*s**4\/2 + 13*s**2 + 12. Let y(u) be the second derivative of u**3\/2 + 3*u. Determine y(i(t)).\nAnswer: 108*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13035, -49795, -111063, -196839, -307123?\n\"Answer: -12254*n**2 + 2*n - 783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63064 (base 7) to base 5.\nAnswer: -443411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 10:52 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 547 and 343?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7345 divided by 55\nAnswer: 1469\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 112*h**2 + h + 132. Give k(-112).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 129*d - 2840. Let s be o(22). Sort 0, 5, 47, -9, s.\nAnswer: -9, s, 0, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 239\/4 + -60. Let z(s) = 4*s - 27. Let l = 2 - -3. Let v be z(l). Is a at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 229805*y**2 - 250*y.\nAnswer: 5*y*(45961*y - 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5808*q - 370*q + 702*q - 1219*q - 6599*q to the form d*q + w and give d.\nAnswer: -13294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95204649?\nAnswer: 3, 19, 631, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10714*g**4 - 2*g**2 - 111*g?\nAnswer: 257136*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256018497?\nAnswer: 3, 7, 23, 283, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -340, -267, -194, -121, -48?\n\"Answer: 73*y - 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-12) - 68\/(-60). Sort w, 0.5, 5 in ascending order.\nAnswer: 0.5, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -255*4.341\nAnswer: -1106.955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261 = -67*z - 7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12440 and 32040?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - o**2 - o + 49. Let n(s) = -s**2 - 5*s + 6. Let z be n(-6). Is b(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-5)*8\/(-32)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.46843676 to one decimal place.\nAnswer: -21.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j + 6. Let a(n) = 7*n - 7. Let v(b) = -2*a(b) - 3*f(b). What is v(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d + 3. Let j be 6\/21 + 2\/(-7). Does 3 divide g(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 776 + -379. Let g = b - -69. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*k - 22*k - 89*k + 21*k = 18906 for k.\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l**2 - 5*l + 5. Let v be r(4). Let o = v + -195\/4. Let q = -3 + 0. Are o and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 144651179 to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6*(-7)\/42)\/(4\/(-64)). Solve 4*c + a = 8*t - 16, 4*t = 3*c + 14 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10.8101 smaller than 72.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1085 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 0*k + k**2 + 0*k**2 + k + k. Calculate s(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + (-21)\/4 - (-210)\/8. Let w = f - -93. Suppose -5*n + 110 = -w. Does 23 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 73, 55, 37, 19, 1?\n\"Answer: -18*v + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*y**2 + 11*y**2 - 9*y**3 + 2*y + 5*y**3 to the form r*y**3 + f*y + i*y**2 + t and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y - 2. Let n(s) = 4*s + 3. Let p(o) = 3*a(o) + 2*n(o). Let q = -24 + 32. Let c(v) = q*v + 4 - 12 + 8. Determine p(c(z)).\nAnswer: -32*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 0*c**7 + 0*c + 0*c**6 + 0*c**3 + 1\/8*c**4 - 3*c**2 + 1\/112*c**8 + 0*c**5 + 0. What is the second derivative of h(k) wrt k?\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 943823\/25 - -2 - (-1392)\/17400?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 + -43. Let i be (s\/(-9))\/(2\/3). Suppose -4*n + n + 33 = 0. Solve -7*b + i*b - 21 = t, t + n = -3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o**2 + o - 1. Let t be k(5). Suppose -22 + 134 = 28*x. Suppose 2*a = 5*a + p - t, x*p = 5*a - 232. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3426827, 6853897, 10280967, 13708037, 17135107?\n\"Answer: 3427070*v - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 132*1*7\/((-28)\/(-9)). Let v be (-2391)\/r + (-5 - 43\/(-9)). Let g = 8 + v. Which is bigger: g or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - y + 7. Give k(-5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18239331 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33.2913 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 r when two letters picked without replacement from rknwu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 - 33 - (39 + -32).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539217.3 grams in micrograms?\nAnswer: 539217300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8332517?\nAnswer: 131, 63607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 14 = -5*b, -3*b + b - 4*l + 16 = 0. Suppose -60 = b*d - 9*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k - 5 + 4*k - 2*k)*(-1 - 1 - 2) as o + l*k and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**2 + 254*z + 125. List the prime factors of j(64).\nAnswer: 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, w: 7, y: 2}. Give prob of sequence yy.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*d**5 + 6*d**4 + d**2*x - 3*d*x - d - x wrt d?\nAnswer: 160*d**3 + 72*d**2 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 2*b**2 - 2*b - 2. Suppose 0*h = -3*h - 6. Let m be j(h). Calculate the greatest common divisor of 27 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7260)*-3*4)\/(1*(-3*sqrt(432) - sqrt(432))))**2.\nAnswer: 605\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -32*u**2 - 1267*u + 8267. Determine j(6).\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1413213445?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51196 - -27956. Round o to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1433*d**3 - 1211*d**3 + 2643*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5997771575.\nAnswer: 5, 3671, 65353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a micrometer in nanometers?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1025964?\nAnswer: 2, 3, 28499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*n + 23*n - 23*n + (2 - 5 + 2)*(-3*n + 0*n + n) - 21 + 11*n + 21)*(1 - 2 + 2).\nAnswer: -47*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -16*q**2. Let h(v) be the second derivative of v**4\/12 + 8*v. What is h(d(j))?\nAnswer: 256*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 + 57*t + 307. What is z(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.16065 rounded to zero decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b + 5*w - 1966 = 7*b, -5*b + 3266 = 3*w. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 7 = -2*y - 3, 2*y + 2 = -2*g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3016221 + -106?\nAnswer: -3016330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -40*c - 1794. Let d be v(-45). Let x(h) = h**2 - 3. Let l(p) = -6 + p**2 + p**2 - 1. Let o(t) = d*l(t) - 14*x(t). Let n(u) = -8*u**2. Give o(n(z)).\nAnswer: -128*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-2)*(-8)\/80. Let d be -2*((-48)\/14 + 2). Let h = d - 47\/14. Put h, a, 9 in descending order.\nAnswer: 9, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66534225 (base 7) in base 14?\nAnswer: a95b15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.03 + -10. Let k = -10.07 + 10. Let n = a + k. What is n rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 19*v**2 - 45*v - 40. What is the remainder when 136 is divided by j(-21)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -1\/9 (c) -0.8 (d) -1\/5 (e) 0.127844 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10001123 - -12130?\nAnswer: -4433443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -158364294 or -158364288?\nAnswer: -158364294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33089*y - 53911.\nAnswer: 33089","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17025601 less than -35?\nAnswer: 17025566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 32*b**2 - 670*b + 1647. Determine l(-47).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*l**3 - 1160*l**2 - 835*l + 6110 = 0. Calculate l.\nAnswer: -13\/5, 2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2307693 is divided by 576910.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6bc849 - -b?\nAnswer: -6bc83e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4550*t + 1. Let w(b) = -11*b**2 + 531. What is c(w(m))?\nAnswer: 50050*m**2 - 2416049","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 78936 divided by 6072\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.16759 - 0.167575582. Round r to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10\/7 or -0.04648?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78606976 and 13741?\nAnswer: 1021890688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -5. Let f(z) = -z**3 - 25*z**2 - 2*z - 37. Let j be f(-25). Let w be (8 - j)*(-18)\/15. Which is the smallest value? (a) -4 (b) w (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 21*f**2 - f - 16. Let q be z(4). Suppose -q = -3*i + 575. 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 prob of picking 1 k and 1 i when two letters picked without replacement from {k: 1, i: 2, h: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540149?\nAnswer: 540149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 11*k**3 + 8*k**2 + 17*k - 17. Suppose -6*g - 98 = -j, 7*g - 3*j - 29 = 8*g. Let r(p) = 4*p**3 + 3*p**2 + 6*p - 6. Determine g*r(z) + 6*f(z).\nAnswer: -2*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2127, 2069, 1969, 1821, 1619, 1357, 1029, 629?\n\"Answer: -t**3 - 15*t**2 - 6*t + 2149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28627504?\nAnswer: 2, 1789219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 146 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26229412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + r + 21 = -s, 27 = -922*s + 919*s - 3*r for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(3\/4)*t)\/t**6)\/(t**(1\/4))**(2\/45))\/((t*t*t*t\/t**1*t*t**(-4))\/((t**6\/t*t*t*t)\/(t\/(t\/(t**(-2\/5)*t)*t)))) assuming t is positive.\nAnswer: t**(131\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3522 = -34*y + 829*y - 5223 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10407*a**5*o**2 + 20*a**5*o + 3*a*o**2 + 352318*a*o wrt a?\nAnswer: -208140*a**3*o**2 + 400*a**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1265?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5897*c + 206400 = 737*c for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 24. Solve -13 = 3*u - q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13763347 divided by 1.\nAnswer: 13763347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/2159591 and -81\/212.\nAnswer: 8638364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a meter in centimeters?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -323313 - -13?\nAnswer: -323300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1030, 1025, 1016, 1003?\nAnswer: 986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five thirds of a minute in seconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -280 divided by -70.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/5, -2, 0.26, 0, 8\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 1001110202200?\nAnswer: 1001110202211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 0*o**3 + 0*o**2 + 1\/12*o**4 + 0 - 2*o. Let r(f) = -f + 1. Let b(h) = -10*h + 11. Let u(q) = 4*b(q) - 44*r(q). Give u(p(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -66 - -57 - (1 - 5) - 4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 3*o + 7 = 0, 0 = -2*d + 5*d + o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7485 * 0.507\nAnswer: 3794.895","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -998.613.\nAnswer: -2995.839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 915175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 43? (a) 227 (b) 2 (c) -3 (d) -0.1 (e) 1 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7135317318.\nAnswer: 2, 3, 37, 32141069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**4\/6 - 2836*k. Let n(i) = -i - 1. Let a = -4 + 2. Let v(p) = 11*p + 9. Let c(w) = a*v(w) - 18*n(w). What is c(r(y))?\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a micrometer in nanometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f + 2*f + 1 - 3*f + 2. Is x(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*u - 75*u + 2*f - 8 = 0, -2*u = -4*f - 8. Let d = 1 - 2. Let g be 1 + 2 + d - 2. Solve g*t = -u*t - 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c - 23026 + 46048 - 23022. Let q(b) = -b. Let k(m) = -2*m. Let y(w) = -3*k(w) + 10*q(w). Calculate i(y(a)).\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-92)\/16 + (-75)\/(-60))\/(2\/4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 1:35 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -621547, -1243092, -1864637, -2486182, -3107727?\nAnswer: -3729272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -263?\nAnswer: -105.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 + 4*c**2 - 12*c.\nAnswer: c*(c - 2)*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/415 - -433\/3735. Which is the fourth biggest value? (a) 51 (b) 2 (c) -0.3 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 2)*(3*w - 3*w - 3*w) - w - 3 + 3 - w - 2*w + 5*w)*(-2 + 5 - 2)*(-1 - 2 + 7).\nAnswer: -32*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.52 - -28877503485.\nAnswer: 28877503485.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 - -33. Let i = 4 - a. Suppose -i*p + z = p - 18, -2*z - 15 = -3*p. Solve -p*c - 5*s + 5 = 2*c, -3 = s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 14*s + 15. Determine g(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 157*x**2 + 398*x - 3. Calculate w(-3).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 437*h - 9661. Calculate r(-24).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*j = -177*j - 4*t + 56, 3*j - 40 = -t. Solve -5*z + 16*q + j = 18*q, 14 = 2*z + 3*q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 4 - (-3 + 20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fncnpbn. What is prob of sequence pb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90511, 181024, 271537, 362050?\nAnswer: 452563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rggggrggpggrrrtpt. Give prob of picking 2 p.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/2772 and -167\/620928?\nAnswer: 620928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - -20111311?\nAnswer: 20111230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 92*i*q + 3*i*w - q*w**3 + 3*w**3 - 14 wrt q.\nAnswer: 92*i - w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60017*p**2 + 26214*p + 2.\nAnswer: 120034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 104*u - 112*u - 8*u**2 - u**3 - 2 - 2. What is r(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 201561?\nAnswer: -201557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*a - 18. Suppose -3*r + 117 = -3*h, -h = 2*r + a*h - 85. Let m be (-12)\/5 - (-16)\/r. Sort 0, 4, m in descending order.\nAnswer: 4, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h**3 + 32*h**2 + 6*h. Let g be v(-6). Is (-167500)\/(-24) + (-6)\/g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/1345 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24357546*i**5 - 62062217*i**2 wrt i.\nAnswer: -1461452760*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -1868*g**3 + g**2 + g - 1. Is m(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-5015 + 4989 - (-1 - -1 - -5)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96)\/32*-118*-6*(-7)\/252?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 147*u - 10254 = 152*u, -4*u = -5*c + 12822. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6286 + -2.6286. Let k be (-1)\/3 + 2\/(-3). Which is the nearest to k? (a) y (b) 5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r**5))\/(r*(r*r**(1\/7))\/r))\/(r**(1\/4)*r**(-2\/9)\/r))**(-21) assuming r is positive.\nAnswer: r**(1303\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 269715.5 rounded to the nearest ten thousand?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 94\/(-33887)*371 + 30\/2.\nAnswer: -3\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 169*c**4\/4 + c**3\/6 - 4*c. Let a(g) = 389321*g - 129776*g - 129773*g - 129774*g. Determine a(j(u)).\nAnswer: -1014*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -557 - -561. Solve c = 4*w + 5, 8*c - h*c - 20 = -3*w for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27462198329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f**2. Let b(w) = 313851*w. What is j(b(d))?\nAnswer: -492512251005*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22116 a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -543 - 171 = -34*b for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9464\/3 + 3154. Let g = -32 - -15. Sort g, j, 0.4 in decreasing order.\nAnswer: 0.4, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -3*j - 4, 19*j = 15*j + 5*q - 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -617, -619, -621, -623?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2372991114 to the power of 1\/4, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -26 - -73 - (1 - (-4 + 0))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5454797785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 6:10 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**3 - 5396*x**2 - 814240*x - 29184400 = 0. Calculate x.\nAnswer: -70, 1489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-9 + (-8 - -16)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from 15327.565.\nAnswer: 15327.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 22*x - 42. Let b be i(-2). Let z be b - (117\/22 + 1). Are z and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.24 - -0.143. Let t = -0.487 - z. Round t to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18.9141 less than 220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -5\/24*q**4 + 0*q**3 - q**2 + 132*q + 0. Let m(z) = -29*z. What is m(o(v))?\nAnswer: 145*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 38.3 * 1.3\nAnswer: 49.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -116, -235, -408, -641, -940?\nAnswer: -1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17.6 + -67.4. Let s = d - -91. Let i = -1 - -2. Put i, s, 0.3 in descending order.\nAnswer: s, i, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**2\/4 + 477*g\/2 + 18900 = 0.\nAnswer: -168, -150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14858 + -14861. Is o greater than or equal to -0.2407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 2653694.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 5*t**4 + 595*t**3 - 123190*t**2 + 243960*t = 0.\nAnswer: -228, 0, 2, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351149577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32325103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00207803898 to six dps.\nAnswer: -0.002078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267*j - 171*j - 1440 = 0. Calculate the remainder when 2155 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 106904 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(2) + 2*sqrt(2)) - (sqrt(75) - 1*sqrt(75))**2.\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.74640927 to two decimal places.\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 0.0246.\nAnswer: 0.4246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -k + 2*k. Suppose -u - 2*u + 27 = 0. What is the third derivative of k*m**4 - 4*m**2 + 5 - u + 4 wrt m?\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -104451 - -104595.193. Let u = o - 144. Let w = 0.084 - u. What is w rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, y: 1, r: 3, w: 2, q: 1}. Give prob of sequence fq.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14854 and 189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 205.9 take away 630843.25943?\nAnswer: -630637.35943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(119) + -1*(sqrt(119) + (3*sqrt(119) - sqrt(119) - sqrt(119))))\/(sqrt(112)*-5).\nAnswer: -sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13\/119 + -3\/17. Let x be (-4)\/60*(9\/6 + 0). What is the nearest to 1 in x, f, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by 4104?\nAnswer: -1\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i**2 - 11*i + 20. Let a be t(6). Suppose 178*r - 16 = a*r. Let n = 3.6 + -4. What is the nearest to 5 in -3, n, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**2\/7 + 8*w - 56 = 0. Calculate w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((1 - -3)\/1)\/((-36)\/(-54)). Suppose d - 20 = 3*j, -2*j = -2*d + 3 + 17. Is t != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -911 times -3\nAnswer: 2733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 14402160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -9*u**2\/2 - 12*u + 1. Let g be c(-6). Suppose g = b + j - 4*j, -4*j + 54 = 2*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11794997?\nAnswer: 11794997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(364)*-1)\/((sqrt(7) + sqrt(21)\/sqrt(12))*-5).\nAnswer: 16*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -60*m - 990. Give a(33).\nAnswer: -2970","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 10*q**2 - 13*q + 1. Is i(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12595 = -5*p - 2*z + 7*z, -12559 = -5*p - 4*z. List the prime factors of p.\nAnswer: 5, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 7*o**2 - o - 4. Suppose 2*c = -n - 15, 2*n = 5*n + 3. Let d be x(c). Solve -d*j**2 + 5*j**2 + j + 0*j - 3*j**2 = 0 for j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17651*x**3 - 32*x**2 + 8827*x**3 + 8822*x**3 - 3*x**2 - 46 to h*x + s*x**2 + n*x**3 + o and give o.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/628285 and 76\/5571.\nAnswer: 5654565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 5*p - 199185, 0*g + 2*g + 5*p = 199235. Suppose 2*y + 49796 = 4*x, 0 = 4*y - 0*y + 5*x + g. What is y rounded to the nearest one thousand?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x - 55. Give s(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*w + 16. Let x = 19 + 10. What is the remainder when x is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3602176219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 29145.567 months in millennia?\nAnswer: 2.42879725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2331\/2590)\/((-1)\/(-10))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)*-1 + sqrt(228))*4 - (sqrt(228) + sqrt(228)*2)*-3)\/((sqrt(12) - 2*sqrt(108)) + -2*sqrt(48))*3.\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**5\/3 + 16*d**4\/3 - 4*d**3 - 16*d**2\/3 + 16*d\/3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 3 = j, -3*z + j = -58 + 62 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 102 - 93 = 0. Calculate the common denominator of -47\/16 and 24\/c - 2\/4.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 9*z. Let n = 2 + -3. Calculate the lowest common multiple of r(-7) and (2\/(-3))\/(n\/3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 144*t - 1 = 145*t, 3*t + 3 = -5*o. Suppose -4*k - 3 = b, 10*k = -4*b + 5*k - 12. Put -10, o, b in ascending order.\nAnswer: -10, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -64 - 875. Suppose -187 = -2*g + s. Suppose 5*r + 212 - 41 = 4*p, 0 = -5*p - r + g. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1918 and 4.\nAnswer: 1922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9165 divided by 1.\nAnswer: -9165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*3 + (-14 - -717). Find the common denominator of 69\/8 and s\/240 - (-1)\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 715*t**2 - 2453*t**2 - 4260*t**2 - 3980*t**2.\nAnswer: -9978*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-2\/3)\/n*n*n**(-23) assuming n is positive.\nAnswer: n**(-68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + (2 + 1 - (-606 - -635))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-84)\/35 - (-6)\/(-10). Let a be 17 + (z - 0\/(-1)). Solve -n + 14 = 3*q, 5*q - 16 = -5*n + a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126.39*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77 - -229\/3. Put -5, q, -8 in increasing order.\nAnswer: -8, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1288 + -0.1712. Which is smaller: 11\/2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/931 and -13\/37233?\nAnswer: 4951989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen tenths of a millennium?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*z**3 - 2\/5 + 0*z**2 + 3\/5*z.\nAnswer: -(z - 1)**2*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 704, 816, 940, 1076, 1224, 1384, 1556?\nAnswer: 1740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(2\/9))\/(t\/t**6*t))**(-1\/10)\/(((t*t\/t**(-2)*t)\/t**(1\/8))\/(t*(t*(t\/(t**(-1\/4)*t))\/t)\/t*t**(1\/4))) assuming t is positive.\nAnswer: t**(-1747\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*x = 31*x - 25*b + 296, 16 = x + b for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4543 + -1001. List the prime factors of a.\nAnswer: 2, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(19) + 1 + 5.\nAnswer: sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.574 + 2.574. Which is the nearest to 0? (a) f (b) 0.4 (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 12*t - 157. Let u be q(-20). Suppose 5*m = -5*r + 295, 5*m = u*r + 203 + 124. List the prime factors of m.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -228 (base 15) to base 2.\nAnswer: -111101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 4*b + 5*h + 5, 4*b + 3 = -3*h. Let c = 4 + 16. Suppose o + c = -4*d, 0 = -4*o - 2*d - 8 - 2. Solve o = -b*g + 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 16, 294, 19, -1, -4 in descending order.\nAnswer: 294, 19, 16, 8, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4464 and 903402?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2008941 and 341649.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5464.491us in minutes?\nAnswer: 0.00009107485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 2*w = -i + 10, 4*i = -20. Suppose w*q - q = 40. Suppose -8*u + 4*u + 10 = f, -5*f - 5*u = -q. Sort -3, f, 1\/3.\nAnswer: -3, 1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 124 = -89. Sort 3, -28, d in descending order.\nAnswer: d, 3, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2946994*w**5 + 15*w + 256382 wrt w?\nAnswer: 58939880*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 9:19 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2904600 to the nearest integer?\nAnswer: 1704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 221 - -106. What is the remainder when h is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, s: 1, u: 1, l: 2, n: 2}. Give prob of picking 1 n, 1 s, and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(160) + sqrt(160) + (sqrt(160)*-3*-1 + sqrt(160) - sqrt(160)) + sqrt(160))\/sqrt(8))\/(-1*sqrt(576) - sqrt(20)\/sqrt(125)))**2*-3.\nAnswer: -13500\/3721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 6*x**2 + 4. Let i(w) = w**2 + 1. Calculate -14*i(h) + 3*s(h).\nAnswer: 4*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1894033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 9:48 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -88 (base 14) to base 11.\nAnswer: -aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times 6\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 193, 235, 279, 325, 373, 423, 475?\nAnswer: 529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69762 to the power of 1\/2, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1303*t**2 - 542*t - 2665360 wrt t.\nAnswer: 2606*t - 542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**2\/7 + 12407*x\/7 - 4136\/7 = 0 for x.\nAnswer: -4136, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -8.3 (b) -1249 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/(4\/12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 3*x - 7 - 4, -a - x = 6. Let s be (-1)\/(a\/2 + 9\/30). Solve f - z = -s, 3 = 2*f - 3*z + 17 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*x**3 + 7031922*x**2 - 7031922*x**2.\nAnswer: -25*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -805*z + 5918. What is o(9)?\nAnswer: -1327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 12*f**3 + 2*f**2 + f - 4. Let k be h(3). Suppose -6*u = -8*u + 2118. Let d = u + k. What is d rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.4 + 2.400636. Round x to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 18*y - 78. Let v be z(-10). Which is the nearest to v? (a) 0.3 (b) -4 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/92 + -47 + (-62130)\/(-874)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*u**6 - 17*u**5 - 3*u**4 + 6831182*u**2 wrt u?\nAnswer: 360*u**3 - 1020*u**2 - 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -n**5\/20 - n**4\/4 - 5*n**3\/12 - n**2\/4 + 19. Solve z(k) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 1468*o + 1438*o - 2 to the form x*o + i and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**5 - 90*d**4 - 905*d**3 + 16030*d**2 + 18240*d - 33280 = 0. Calculate d.\nAnswer: -13, -2, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 954242.5 - -272?\nAnswer: 954514.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1300 - 399. Let u = d - 639. Suppose -4*s + 2*j = -u, -3*j = 2*s - j - 140. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 - q + 3. Let i(b) = 6*b**2 - 62*b + 12. Let j(r) = -i(r) + 4*o(r). Factor j(s).\nAnswer: 2*s*(s + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(5\/2))**(1\/3)*g**(-8)\/g**(1\/16) assuming g is positive.\nAnswer: g**(-347\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5519.\nAnswer: 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70.99904 + -71. Round w to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j - 10 = 2*n - 22*j, -2*n - 4*j + 8 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1160667?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, f: 2, n: 1, b: 2}. Give prob of sequence bn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/70 - (0 + (-12)\/(-21)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 302 = -2*w, 0 = 4*w - 7*w - 3*p + 447. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/4)\/(11 - 221\/20). Solve u - 17 = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 1:18 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1\/b)**2\/(b**(-3\/8)\/(b*b\/(b*b**2))) assuming b is positive.\nAnswer: b**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -884*k**5\/5 - 9*k**2\/2 + 10*k - 2033. What is the second derivative of r(t) wrt t?\nAnswer: -10608*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 65*g**2 + 4*g - 4. Let w(h) = -324*h**2 - 21*h + 21. Let x be 2\/15 - (-7608)\/(-360). Determine x*t(j) - 4*w(j).\nAnswer: -69*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 952153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/8 - 176*p**2 - 9807*p\/8.\nAnswer: -p*(p + 7)*(p + 1401)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -1\/3, -2\/75, 0.13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 223859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 287.775 to zero dps.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 89657 rounded to the nearest one thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1011011000101?\nAnswer: 1011011001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 524.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*u + 50*u = 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14901894 + -14901879.9999856. Let u = z + -14. Round u to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 7*r - 5. Let w be u(-8). Let k = -252 + 252. Suppose -w*g + 0*g + 126 = k. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -267813 divided by 9919?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2643.70973 - -4433.74554. Let n = 1790 - j. What is n rounded to 3 dps?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(70) + -2*1*sqrt(70) + sqrt(70))\/(sqrt(70)\/(1*sqrt(7))))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109971.\nAnswer: 3, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*h**3 - 25 - 42 - 2*h**4 + 65 to the form l + f*h**4 + m*h**2 + j*h**3 + p*h and give j.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a - 2. Let t be (-3 - -1 - 2) + 9. Calculate u(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 23*y + 3. Let x be h(-1). Let t = x + 26. Suppose 0 = 5*j - 25, -165 = 2*a - t*a - 5*j. What is the remainder when a is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149554*t + 63 = 149547*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.84 >= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 7981593 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 11:41 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 + 52790084*o - 369530784.\nAnswer: 4*(o - 7)*(o + 13197528)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8752 is divided by 8730.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 22. Let g = -26 - -8. Let y be r(g). Solve -3*n - 9 = -4*u, y*n = -u - 3 - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38458 and 1281619.\nAnswer: 1202158622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 21\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*o + 274 = -5*i, i + 3*o + 57 = 0. What is the units digit of (i\/(-9))\/(2\/3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a**2*o**2 + 603*a**2 + 3*o**3 - 11*o**2 wrt o.\nAnswer: 4*a**2*o + 9*o**2 - 22*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z - 13. Let u(r) = 12. Let n(q) = 5*i(q) + 6*u(q). Suppose -4*c = 10 + 10. What are the prime factors of n(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 60 + 1?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21863 = 61*x - 19972 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -751709?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h. Let c(f) be the third derivative of -f**5\/40 - 5*f**3\/3 + 5*f**2. Let u(i) be the first derivative of c(i). What is u(b(d))?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 22020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 1 = -4*n + 11, 4*n = 2*g + 4. Suppose -2*c - 5*f = 3*c, 5*c + g*f = 3. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -135, -202?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10069036 or 10068996?\nAnswer: 10068996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -75 + 170. Let p(i) = -i**3 - 16*i**2 - 18*i - 21. Calculate the remainder when h is divided by p(-15).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1754 - 1759. Which is the third smallest value? (a) r (b) -0.3 (c) -4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*u + 69, -p - 216 = -5*u + p. Let x = u - 39. Suppose 0*t - 5*t + 20 = 0, 4*r - 4*t + 8 = 0. Solve -y - 9 = r*y - 5*d, 0 = x*d for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 98 = 3*r, 0 = 2*v - 3*v - 5. Let n = -88 + 59. Let q = r - n. Solve -2*t + 5 = -5*o - 10, -q*o = 3*t + 30 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36811 and 482211?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537619 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -72b - 5?\nAnswer: -734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 6:58 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 562475 or 562479?\nAnswer: 562475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/9)*a)**(-6)*a**(-4)\/a*a**(3\/5)\/a*a*a assuming a is positive.\nAnswer: a**(-121\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -6. Suppose u*n = 3 + 17. Suppose -2*p - 3*j = -25, -p - p + 20 = 4*j. Calculate the highest common factor of n and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -4. Suppose -t*x = -32 + 7. Suppose 4*s - 6*s + 42 = 2*w, -2*s = x*w - 96. Calculate the lowest common multiple of 8 and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*d + 38 = -3*d, 2*j - 3*d = 16. Suppose j*q - 1616 = 7316. What are the prime factors of q?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4019304 and 216?\nAnswer: 36173736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) -4 (c) -1.52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1177*t = -1154*t - 368. Calculate the remainder when 1293 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*b - 3*s, 17 - 47 = -5*b - 5*s. Let k be 9\/(-2) + 1\/2. Let t be 3*k\/(-6)*1. Which is smaller: t or b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113, -11972, 24 in increasing order.\nAnswer: -11972, -113, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 68 + 48. Let w be 16\/600*t + 2\/(-15). Solve w = 2*s + 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -23 + 21 + 145 - 26?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -13 + 21*p + 3*p**2 - 27*p + 4 + p**3. Let u be n(7). Suppose 0 = -2*j - 3*y + 423 - 124, -5*y - u = -3*j. List the prime factors of j.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/(-6) + 5742\/(-10164) and 69\/154.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -36*d + 1. Let v(j) = -j. Determine k(t) - 4*v(t).\nAnswer: -32*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 + 83. Let p be k - 5 - 3\/1. What is the units digit of (24\/p)\/((-12)\/(-27))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*r + 60 = -30*r - 9*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 112\/6*(-7 - -4). Let f = -15 - n. Calculate the remainder when f is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 - t**2 + 0*t**2)*(1 - t - 1) - 17*t**3 - 12*t**3 - 2*t**3.\nAnswer: -30*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -324029, -648018, -972013, -1296014?\nAnswer: -1620021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1\/((-9)\/12))\/(10\/(-105)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -316\/87 + -15814\/261. Let m = -64 - b. Determine c, given that 2\/3*c**2 + 2\/9*c**3 + 2\/3*c + m = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9.4, -1\/2, -2\/15, 2?\nAnswer: -9.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 8 = i - 5*i, -3*z = i. Let u = 16.5 + -20. Let l = u + 3.6. Which is the biggest value? (a) 3 (b) l (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((1*3)\/(19320\/1120))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1331 and 2.\nAnswer: -0.2662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or -900325?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67651002*c**2 - 84444743 wrt c.\nAnswer: -135302004*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -63.514175 to 2 decimal places.\nAnswer: -63.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-454176)\/14608 - 12\/(-11)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -55652, -111312, -166984, -222668, -278364?\n\"Answer: -6*h**2 - 55642*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/5)\/((r*r**7\/r*r)\/r)*(r\/r**(-2\/7))\/r**(2\/15))**(-45) assuming r is positive.\nAnswer: r**(1968\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 8:09 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**3\/(g\/g**(-12)))**29)**(-2\/9) assuming g is positive.\nAnswer: g**(580\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/1*13\/(-221)*-17.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 43\/(-21))*(6 + (-4 - -4)). What is the nearest to -8 in 2, -0.12, -0.5, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*y + 48 = 80*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1822 in 2, 0, 1\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8301.197 litres?\nAnswer: 8301197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -20, -26, 3, -69 in decreasing order.\nAnswer: 3, 2, -20, -26, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 31. Let x be (-1)\/3 - 8\/m. Is 7*x*(-24)\/28 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/w**47*w*w*w*(w**(-49)\/w)\/w*w assuming w is positive.\nAnswer: w**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 538 + 66 = 0. Let d = 5327 + -5538. Let y = j + d. What are the prime factors of y?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-20))\/((-43)\/(-645)). Let t(w) = -w**2 + w. Let v(h) = -2*h**2 - 3*h - 4*h**2 + 4*h**2. Give a*t(d) - v(d).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 + 4*c**2 + 4. Suppose 3*s - 26 = 2*v, s - 3*v + 70 - 60 = 0. Calculate the remainder when n(3) is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -2.8, 4, -9, -2 in decreasing order.\nAnswer: 4, -2, -2.8, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26807.\nAnswer: 11, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227263 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((375\/(-5880))\/25)\/((-90)\/240))\/((-2)\/(-18))?\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 250.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, b: 11}. What is prob of picking 2 u?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*r = -3780. Let u be (-1)\/3 + -8 + 100\/12. Suppose 3*j - 4*s - 761 = u, -6*s - r = -3*j - 3*s. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 10*s = -25. What is the greatest common divisor of 2 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.1870278 millennia?\nAnswer: 2244.3336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 208 + -89. Suppose s = 3*n + 44. Let -11*q + 18*q - 21*q**2 - 16 + n*q + 9*q**2 = 0. Calculate q.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 30*f + 2864. Let g(x) = -2*x**2. Give i(g(n)).\nAnswer: -60*n**2 + 2864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*y**2 - 397*y**2 + 124*y**2 + 150*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(2 - 1\/((-244)\/(-496))). Let n = z - -66. What is the remainder when 28 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 6. Suppose -3*g + m*r + 401 = 0, g + 2*g - r - 385 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2534695709?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1, -4, 1\/137?\nAnswer: 1\/137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j + 90 = -12*j, -3*j - 41197 = -5*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*f + 24 = 0, u - 4*u + f + 26 = 0. Suppose 3*r - r - u = 0. Find the third derivative of 2*b**2 - r*b**2 + 2*b**4 + b**2 wrt b.\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 5*h**4\/8 - 2*h**3\/3 + h**2 - 6651. Let v(u) = -5*u. Determine v(z(r)).\nAnswer: -75*r + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c + 3. Let z(d) = 22*d**2 + 8*d - 8. Let j(q) = -8*q**2 - 3*q + 3. Let o(x) = -8*j(x) - 3*z(x). Give m(o(k)).\nAnswer: 6*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1094*-0.06.\nAnswer: -65.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 20927767 times 3\nAnswer: 62783301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 829169*t**2 + 829179*t**2 - 2487512*t**2 + 829168*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -32, -115, -272, -527, -904, -1427, -2120?\nAnswer: -3007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -i**3\/2 + 3295*i. Let q(s) = 73*s - 2. What is h(q(r))?\nAnswer: -219*r + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*r - 25. What is the remainder when 57 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -26 (b) 29.48 (c) -3.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 8*t - 7. Suppose -4*s - 5*c + 708 = 124, -15*s - 5*c = -2300. What is the remainder when s is divided by x(6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -98 - -197. Let v = x - 98.8. Sort -1\/9, -1, v.\nAnswer: -1, -1\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -437\/330978?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1831563 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 6*o**2 + 1 - 6*o - 2*o**2 + 3*o**2 + o**2. Let t be r(5). Let m be (-3 + 8)*t\/(-130). What is the second smallest value in m, 0.2, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138.1 * -0.656\nAnswer: -90.5936","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-13)*u)**(-10\/21) assuming u is positive.\nAnswer: u**(110\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 188, 359, 530, 701?\nAnswer: 872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 - -50.97. Which is greater: -0.2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - -4. Calculate the remainder when 47 is divided by b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5292 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 628*o + 4904 = -663*o - 24789 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (84\/16 - 4)\/(4\/32). Let j = -20371\/4378 + -60\/199. What is the common denominator of j and (u\/40)\/((-2)\/11)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/748990691 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/14 in -1, 4, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14905*j - 30107*j + 15245*j.\nAnswer: 43*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*s + 1105501 = 1102501 for s.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*q + 65*q + 2*t + 6 + 9 = 0, -19 = -4*t + 1 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 104*p + 99*p = -29, -4*p + 10 = 2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -10*m. Let r(k) = 436303*k**2. Determine a(r(c)).\nAnswer: -4363030*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60 - 25155362?\nAnswer: -25155452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75 or -2000\/27?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*((-2*p + 3 - 3)*(1 + 3 - 1) - p + 0*p + 0*p - 3*p + 4*p - 4*p)*(3*p - 9*p - 2*p).\nAnswer: 160*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/(-405) - (-28)\/(-45).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61787 + 120358. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 7*o**2 - 8*o + 3. Let z be v(8). Calculate the highest common factor of z and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9, 0, -4, -37.\nAnswer: -37, -4, 0, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-15 - 1 - 3) - -3 - (-61 + 70).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 4*o - 170. What is l(12)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q**2 - 5*q. Let o(r) = -4*r**2 + 5*r - 1. Let d(t) = -3*h(t) - 4*o(t). Let n = -8 + 12. What is d(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -32. What is the second biggest value in k, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 45369\/15 - (-8)\/20. Let z(h) = 4064*h + 1. Let y be z(-2). Let n = r + y. What is n rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139, -241, -367, -529, -739, -1009?\nAnswer: -1351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 l when four letters picked without replacement from lllslslsys.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 7*r + 4, -220 = -5*h - 5*r. Find the common denominator of (3\/h)\/((-8)\/(-350)) and 0*(-21)\/(-987) + 42\/(-16).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/(-4))\/((-9)\/(-12)). Suppose -x = -3*t - 4*q + 6*q, -9 = -t + 3*q. Suppose t = 2*f - 28 - 44. What is the greatest common divisor of f and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -3*(sqrt(72) + 1 + 0) - ((sqrt(72) + 1 + -4 - (sqrt(72) + 0 + -5 + sqrt(72) + sqrt(72))) + -1))**2 + 1)*4.\nAnswer: 384*sqrt(2) + 548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.389 and -1.1?\nAnswer: 0.4279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 21*s**2 + 23*s + 17. Let g be k(-22). Let n(j) = -16*j. Let r(q) = 3*q. Let t(f) = g*n(f) - 28*r(f). Let b(c) = -4*c**2. Calculate t(b(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.15. Let n = -3 - -7.05. Let l = f - n. Put -3, l, -0.4 in increasing order.\nAnswer: l, -3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 25 = -2*a + v, -4*a - 5*v + 5 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 17*b**2 + 2*b - 1. Let f be r(1). Let o be 3*2\/f*3. Calculate the highest common divisor of o and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1200 and 58200.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 389*y**4\/12 + 80*y**3 + y + 406. Find the second derivative of p(s) wrt s.\nAnswer: 778","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 2*u**2 - 2*u + 1. Let y = -206 + 103. Let c = y - -105. Determine t(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100488 and 345666.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -5, 4\/5, 1\/3, 0.04?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 3 = 4*q + 9, 2*n - 36 = 10*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3129, 15090, 35025, 62934?\nAnswer: 98817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -1)\/(11\/55). Let x(s) = -6*s**2 + d*s**2 + 11*s**2 - s**3 - 14 + 18*s. What is the tens digit of x(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 2, s: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/(-175))\/(-2)*20\/(-12).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*l - 1468 = 0, -7*l + 2*l = -3*f - 903. Let g(c) = -3*c**2 + 4*c + 10. Let j be g(-2). Is f\/j + (-4)\/(-10) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -13 - (-16 + -17) - 50) + -82?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -345*x + 11. Let r(l) = 4*l + 9. Determine -2*g(f) + 2*r(f).\nAnswer: 698*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 7*d**2 + 10*d - 5. Let w(f) = -3*f**2 - 4*f + 2. Let t(b) = -2*a(b) - 5*w(b). Let h(c) = -2*c. Give t(h(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 0 + 1)*(-3 - 1 - 4)*(4 + 1 - 3)*(0*l - l + 2*l) to c + a*l and give a.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 100\/36 - 2\/(-9). Let u(w) = 3*w - 5. Let v(p) = -4 - 70*p + 72*p + 1. Determine f*u(g) - 5*v(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 52 = 2*j, -42 = -3*j + t + 2*t. Let r(g) = 181*g - 64. Let b be r(1). Calculate the greatest common divisor of j and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-1)*(-42)\/20076.\nAnswer: -2\/239","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 10:06 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*n = 4*n. Suppose 0 = -0*t + 5*t. Let u = -29 + 30. Solve r + n + u = t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113456 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 461\/237 (b) 1\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-21)\/12)\/7)\/(-10*18\/(-13680)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 + 46. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35158292, 35158293, 35158296, 35158301?\n\"Answer: q**2 - 2*q + 35158293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 3*d = -13 + 1, -4*d = -5*v - 25 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = l - 0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/42 and 8\/((-1120)\/(-446)) - 6\/(-10).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 4\/9, 0.5, -24, -0.6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, p: 1, l: 1, w: 1, d: 1}. What is prob of picking 1 d, 1 l, and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**4\/24 - 5*j**3\/3 + 5*j**2. Let b be n(5). Let d = 3 + b. Is -0.5 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 435*t + 5*t**2 - 432*t - 5*t**3 + 3 - 5*t**2. Let b be x(-1). Let y(z) = -z**3 + 4*z**2 + 3*z - 6. What is y(b)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 3*w**2 + 16*w + 110. Let n be h(-5). Solve n*k = 69*k - 88 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -5*y**4\/3 - 292607*y**3\/3 - 1425585139*y**2 + 122558060275*y\/3 + 49707486250\/3 = 0.\nAnswer: -29275, -2\/5, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**2 - 5*w**2 - 3*w**2 + (1 - 2 + 3)*(-1 + 1 + w**2) + 0*w**2 + 0*w**2 + 2*w**2 + 0 + 2*w**2 + 0 - w**2 + 0 + 0.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92976 and 39936?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 8. Let l = 894 + -890. Sort t, l, -4 in decreasing order.\nAnswer: l, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -6 - 18. Suppose -16*t + h = -4*t. Suppose o - t*f = -3*f + 21, -2*f + 86 = 4*o. Calculate the remainder when 108 is divided by o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2544, -2520, -2502, -2490, -2484, -2484, -2490?\n\"Answer: -3*a**2 + 33*a - 2574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4158 divided by -198.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 54 = 5*d - 16, 3*d = 3*c + 66. Which is bigger: -3\/19 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 1958*w**2 - 944*w**2 - 988*w**2. Let c(y) = 72*y. Give c(k(a)).\nAnswer: 1872*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100100011 - 101?\nAnswer: 10100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -3*t - 4*j, 5*j = -3*t + 2551 - 2569 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3461 - -4?\nAnswer: -3456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19643033 to the nearest integer?\nAnswer: 4432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 343070153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17\/25 + 101\/75. What is the closest to 2 in -5, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16521 greater than or equal to -16518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttcxtccdccuccxtdttc. Give prob of sequence dxc.\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 10*r + 12. Let g be 2\/18 + (219\/(-27) - 1). Let m be c(g). Solve -5 = -2*o + m*k, k + 6 = o - 4*k for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -19, -21, 146 in increasing order.\nAnswer: -21, -19, -1, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -326, -325, -324, -323?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**2\/3 + 20*l\/3 + 14 = 0?\nAnswer: -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 l when two letters picked without replacement from ggwkwilj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1990440?\nAnswer: 2, 3, 5, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 686, 3255, 7544, 13559, 21306, 30791, 42020, 54999?\n\"Answer: v**3 + 854*v**2 - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46334?\nAnswer: 2, 23167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 0. Let v = n + 2. Solve -2*x = x - v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 15*p + 125. Let h be x(5). What is the greatest common divisor of h and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1, -3\/7, -24 in decreasing order.\nAnswer: 0.5, -3\/7, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(22)\/sqrt(50)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 + 0 + (29 - 31). Let d(k) = k**2 + 5*k - 29. Calculate d(l).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 311 and 4018742?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3 + 6 = 0. Let b be (-58)\/(1\/(3\/j)). What is the highest common divisor of b and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 19*s**3 + 2111*s**2 + 209*s - 1427. Determine i(-111).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1442)\/(-245) + (-2)\/(-5) and -9\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -2*u - 5*c, -2*c + 8 = 2. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 70 = -12*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -12. Suppose g*u - 5 = 7. Solve -12 = s + u*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21204\/(-2883))\/((-240)\/(-3720))?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.43 + -1.57. Put -1.2, v, -4, 0 in descending order.\nAnswer: 0, -1.2, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g. Let n be h(3). Let u = -2 + 2. Let v = u - n. Solve v = 3*m + m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*f + n + 166305, 2*f - 110858 = 4*n. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(7\/5)*j)\/(j**(-10)\/j))\/(j**(12\/5))**(1\/19) assuming j is positive.\nAnswer: j**(1261\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(7\/4))**22\/((s*s**(2\/15))\/(s**(-7)*s*s)) assuming s is positive.\nAnswer: s**(971\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6440 or -4?\nAnswer: 6440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from fzffzfifff?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 11:58 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**3\/6 + 5*z**2\/2 + 2*z. What is the remainder when r(-8) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06 - 0.56. Which is the fourth smallest value? (a) -0.4 (b) -0.02 (c) w (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -7. Let q(l) = -l**3 + 10*l**2 - 10*l + 13. Let j be q(b). Suppose -35 = -9*w + j*w. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n*r**3 + n + r**3 - 1683*r**2 - 6*r + 960 wrt r.\nAnswer: 6*n*r + 6*r - 3366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-10)\/(l*l\/l**(-5)*l))\/(l**7*l\/l**3) assuming l is positive.\nAnswer: l**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**6\/80 + p**5\/120 - 79*p**4\/24 - p**2 - 18*p. Let c(x) be the second derivative of n(x). Let q = 2 - 3. Determine c(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1071159\/4 or -267791?\nAnswer: -267791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -91, 0, 2.06, 4, 0.4, -2?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21765 + 21787. Is n >= 158\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1944, 8041, 18206, 32433, 50716, 73049, 99426, 129841?\n\"Answer: -v**3 + 2040*v**2 - 16*v - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(3*o - 3*o - o)*(671*o + 651*o - 1343*o).\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.93104 rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, f: 3, s: 1, h: 7}. Give prob of picking 1 w, 2 h, and 1 f.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/6*(5 + -2). Let k be v\/6*3\/2. Solve -7*p = 3*q - 3*p - 14, -k*q + p = 9 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8289021 divided by -13?\nAnswer: -637617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4681812?\nAnswer: 2, 3, 390151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(0 + 0 + k) + 11*k + 2*k - 5*k.\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 1)*(-31*z + 13*z - 14*z)*(-1 + 0 + 0)*(4*z - 11 + 11).\nAnswer: -384*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -4. Let v = -0.9 - -0.7. Let m = -1.505 - -1.505. What is the closest to m in u, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 43428*x**2 + 30*x + 30. Is 53 a factor of d(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -8921 = -8944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - f**2 + f + 30. Let x be j(0). Let i be 4 - 11\/(99\/x). What is the nearest to i in -0.5, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + a**2 + 5*a - 3 - 5*a**2 + 2*a**3. Let p(f) = 3*f**2 + 38*f - 10. Let n be p(-13). What are the prime factors of b(n)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16523397.9ns to days.\nAnswer: 0.00000019124303125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6220 divided by -28\nAnswer: -1555\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 143712535 to the nearest integer?\nAnswer: 11988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 51?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.219 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**2 - 9*c + 22. Let o(j) = -3*j + 13. Give -7*f(b) - 5*o(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2aa90321 + 4?\nAnswer: -2aa9031c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132 and 40203336.\nAnswer: 442236696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 439, 437, 433, 427?\nAnswer: 419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -18. Suppose -2*f = -l*w + 6, -5*f = -0*w - 2*w - 17. Let i(d) = d**3 - 5*d**2 + 5*d + 2. What is the units digit of i(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n**3 - 244*n + 56*n + 188*n.\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 152694 and 634.\nAnswer: 48403998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**4\/4 - 2*i**3 - 3*i**2 + i + 4. What is the remainder when s(7) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -454 + 458. Let j(u) = -3*u - 3. Let i be j(-2). Suppose -4*f - a + 9 = 0, -2*a + 5*a - 9 = -3*f. What is the smallest value in i, x, -0.5, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.4723 microseconds to seconds.\nAnswer: 0.0000214723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -340 - -303.4. Let l = 37 + z. Let t be 13*(-2 + 3 - -1). Put l, t, -2 in increasing order.\nAnswer: -2, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1261, -1275, -1327, -1435, -1617, -1891, -2275?\nAnswer: -2787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2230 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -20669, -20665, -20659, -20651, -20641, -20629, -20615?\n\"Answer: n**2 + n - 20671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4462 = -18*i + 8876. Calculate the greatest common factor of i and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -32*m**2 - 4*m + 31. Let a(x) = x**2 + x. Let z(v) = -4*a(v) - o(v). What is the first derivative of z(u) wrt u?\nAnswer: 56*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 7*p + 13, -4*p = -126*d + 118*d - 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-593)\/(-5) + (-3)\/5. Suppose -x = -2*v + 20. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*t*u*z**3 + 3*t*u*z**2 - 8*t*u*z + 45*t*z + 2*t - 47*u*z**3 - 3*u - 5*z wrt z.\nAnswer: 30*t*u*z + 6*t*u - 282*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -19 + 0 + -17.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2035, 1988, 1941?\n\"Answer: -47*y + 2082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 5, -2, -1, -6, 122.93?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 4 = 4*v, 6 = -8*f + 6*f + v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -0*g - 168. Suppose z = -2*z + g. Suppose -2*n + 5*i + 41 = 0, z = n - 0*n - 4*i. What is the greatest common factor of n and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 48869.13 months?\nAnswer: 4.0724275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/27, -276, 0.04 in descending order.\nAnswer: 0.04, -2\/27, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/4, -5, -4, -0.0406?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4 - 1. Suppose -8 - 10 = -a*m. Solve 0 = 5*d - 14 - m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h**3 - 5*h**2 - 33*h + 37. Is y(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7911 is divided by 7899?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.481 to 1 decimal place.\nAnswer: 16.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 85*a**2 - 12*a - 67. What is the remainder when r(-4) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12010.5764 + -11996. Let w = 14.6 - p. What is w rounded to 3 dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 339392 times 9.7\nAnswer: 3292102.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u**12\/u)\/u*u*u*u**(-26))**(-3\/16) assuming u is positive.\nAnswer: u**(39\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*b**4 - b**2*m**2*u + 48*b*m**2 - 114*m**2 + 2*m - 2*u wrt b.\nAnswer: 44*b**3 - 2*b*m**2*u + 48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 114575520 a multiple of 1160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 12*g**2 - 12*g + 63. Give c(-12).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-3*((sqrt(325) + -2 + sqrt(325) + sqrt(325))*-2 + sqrt(325) - (sqrt(325) - (sqrt(325) + 0)*-3))**2*-5*2.\nAnswer: -64800*sqrt(13) + 4741380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(11) + sqrt(11)*-2*-6)**2 - (sqrt(11) + -1)**2*-3.\nAnswer: -5*sqrt(11) + 1895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 20 = -0. Which is the second biggest value? (a) 4 (b) 0 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - -2. Suppose -5*o + 166 = 4*z + 34, 4*o + 130 = 3*z. Calculate the remainder when z is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -43, -1, 1, -2 in descending order.\nAnswer: 5, 1, -1, -2, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -53 - (-46 - 2667) - (6*3)\/2. Which is bigger: 0.3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 139649*b**5 + 3159*b**2 + 151 wrt b.\nAnswer: 8378940*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (32 - (-2 - -17)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -7*j**5\/100 + 13*j**4\/120 - j**3\/15 + 3*j**2. Determine n so that u(n) = 0.\nAnswer: 2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1201, -5135, -11799, -21193?\nAnswer: -33317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/7296*48*3\/(27\/4)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 times 48.9?\nAnswer: -6112.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.041 - 2.241. Let j be 10 - (-1 - 3)\/2. What is the closest to -1 in j, a, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-4))\/(21\/952). Let p = 106 + m. Let f = p - 41. Are f and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4 + 102*r**3 + 1299*r**2 + 7344*r + 15552.\nAnswer: 3*(r + 8)**2*(r + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {i: 1, s: 1, m: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10845524 a multiple of 1092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2268, -9132, -20582, -36612, -57216, -82388, -112122, -146412?\nAnswer: -185252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -10001?\nAnswer: 10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -30. Let i(n) = 4*n - 1. Calculate i(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 846 = 843 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-118*t - 59*t + 84*t)*(-48 + 3*t**2 + 48) - 2*t - t**3 + 2*t + 0*t**2 + 0*t**2 + t**3 + (t**2 - 5 + 5)*(-3*t + 2*t + 2*t) + 2*t**3 + 0 + 0.\nAnswer: -276*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*x**2 - 256*x**2 + 125*x**2 - 2*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*a + 29613 = 0, 0 = -3*u - 4*a + 3242 + 18959. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1\/5)*m)\/m)\/(m\/(m\/m**(1\/5))))\/(m**(-7\/5)\/m**(-7\/4)) assuming m is positive.\nAnswer: m**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmr when three letters picked without replacement from {a: 2, w: 1, l: 1, r: 1, m: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/15))**(-2\/13) assuming i is positive.\nAnswer: i**(4\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1498*v**4 - 47*v wrt v?\nAnswer: 17976*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1 (b) -586 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, -4280, -7, -1, 0.1 in descending order.\nAnswer: 0.1, -0.11, -1, -7, -4280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1678*c - 1660*c + 126 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31.7 - 5.7. Let n = o + -25.7. Let r be 9 + -4*(-3)\/12. Sort r, n, -0.3.\nAnswer: -0.3, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5697 * -32.9.\nAnswer: -51.64313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -320.2 - -320.2. Put 1.7, 22, -0.3, 5, v in decreasing order.\nAnswer: 22, 5, 1.7, v, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*j. Let y = j - -2. Suppose -15 + 15 - 2*w**y - 2*w = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 - 2*v + 2. Let l(t) = t**2 - t + 1. Let i(o) = 5*l(o) - u(o). What is the units digit of i(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 6 + 1. Let i = 39\/85 + -1\/17. Put 1, i, d in decreasing order.\nAnswer: 1, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225 and 448000.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1520893*x + 1181548?\nAnswer: -1520893","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2db81 (base 14) to base 13\nAnswer: 40319","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**4 + 2*r**4 + 5*r**4)*(-9 - 41 - 6) + 18*r**4 - 19*r + 19*r.\nAnswer: -94*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -58, -426 in decreasing order.\nAnswer: 4, -58, -426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -10. Is s\/(-35) + 1004\/14 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**3 + 23*h**2 - 10*h + 27. Let j be w(-12). Suppose -9*k - j*r + 2057 = -5*k, k - 5*r = 543. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -450, -454, -460, -468, -478, -490, -504?\n\"Answer: -n**2 - n - 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-59)\/(-235) - 65\/325. Is i less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 15*d + 195. What is z(-11)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*f + 42*f**3 - 36*f**2 - 16*f**2 - 7*f**4 - 3 - 2*f**4 = 0. What is f?\nAnswer: 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322*v + 2007 = 331*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 less than -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64960246 and 5356.\nAnswer: 2678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5105 + -2630?\nAnswer: 2255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*b - 9 + 9)*(127 + 170*b - 127)*(5 - 6 - 6) + b**2 + 0*b**2 + b**2 in the form j*b + n*b**2 + a and give n.\nAnswer: -5948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 3686345.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g = 2169 + 207. Calculate the remainder when 383 is divided by g.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of a**4\/4 + 2*a**3 + 5*a**2\/2 + 3*a - 19. Suppose -14 - 1 = 3*u. Determine o(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -225865*u + 232590 with respect to u.\nAnswer: -225865","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-34)\/j*j)\/(j*j**(-13)))\/(j**28)**(-1\/3) assuming j is positive.\nAnswer: j**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 86, 96, 106?\n\"Answer: 10*o + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 - 2a1?\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - 1014737*l**3 + l + 1014730*l**3.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*(2*2*sqrt(68) - sqrt(68)))\/((sqrt(256) - sqrt(256)*2)*-6).\nAnswer: -3*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 543*k + 3049 + 1470 = -1454 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 9*g**2 - 7*g + 9. What is the remainder when 66 is divided by x(8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/493 (b) -2\/5 (c) -3 (d) 79934\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49705.14 - 19.14. Let r = 49584.095 - y. Let z = -102 - r. Round z to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4536697381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3 = -5. Suppose 2*y - 3*y = m, -i = -y + 24. Let l be ((-2)\/14)\/((-24)\/i). What is the nearest to l in 0.1, 0.4, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/15?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -5*t**7\/7 - 5*t**3\/3 + 5. What is the third derivative of h(a) wrt a?\nAnswer: -600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 11 - (0 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 97 and 8730?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 13*l = 1398. What is the remainder when 6\/(-21) + l\/(-42) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*z - 17 = 2*z, -r - 1 = 4*z. Suppose -2*o + 140 = -3*s, 5*o + 53 = -r*s + 361. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -498 = 3*g - 3705. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1229.\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -1 - 0, 0 = -3*z + 2*p + 238. Calculate the smallest common multiple of z and (-2 + 9)\/((14596\/40)\/(-41) + 9).\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.9852 and -0.6615.\nAnswer: -3.9592098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from taappppbabaapag. What is prob of picking 2 b and 1 a?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 513200*j + 28745472.\nAnswer: -2*(j - 256656)*(j + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 79 = -21. Let u(y) = y**3 - 2*y**2 - 2*y + 6. Let w be u(4). What is the highest common divisor of w and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*w + 375. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19643849*1.1.\nAnswer: -21608233.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m - 10. What is j(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2169817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, 589788, -5, 0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 - 21. Suppose 0 = 3*j - 15, 2*j + j + 175 = 5*k. Suppose -k - z = -5*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.2 + 2.2. Let l = 2 - 1.8. Let u = 0.3 - l. What is the third biggest value in u, -1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 872*v**5 + 30*v**4 + 149736*v**2 - 2*v.\nAnswer: 52320*v**2 + 720*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3 = 12. Suppose -n*z - 2*t = 0, 4*t = -4*z + 3*z. Solve z = -0*j - 3*j + 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 11*w - 1. Let j(t) = -t**2 + 7. Let b be j(0). Let f be i(b). Solve -3*a = 4*r + r + f, 2*a - 5*r - 7 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u - 8*u - 14*u)*(31*u - 10*u - 9*u + 9 + u**2).\nAnswer: -14*u**3 - 168*u**2 - 126*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -4226*g + 4223*g - 5, -1 = 3*n + 5*g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*j - 4*o + 25, 0 = 3*j + o - 53. Is 5\/((4\/j)\/4) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -44156*q**3 + 665*q**2 - 665*q - 665. Let x(k) = -133*k**3 + 2*k**2 - 2*k - 2. What is 2*a(u) - 665*x(u)?\nAnswer: 133*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d = 0. Let y be (-4 + 2)\/(4\/(-30)). Let a = -9 + y. Solve 3*x + 4*o = 4*x - 6, -2*x + 2*o + a = d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 4*w + 14, -3*c - 16 = -7*c - 4*w. Let z(y) = c*y + 26 - 3*y - 20. Let l be z(-2). Solve m - 5*g = l + 13, 0 = -3*m - g + 13 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*d + 20*d - 1656. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wqsseweksyqw. What is prob of picking 1 y, 1 e, and 1 w?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, e: 2}. Give prob of picking 3 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from iiiiikkk.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 7*h = -45. Suppose -2*l = 2*t - 5*t - 4, 0 = -4*t. Suppose l*u = u + h. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l + 10*l - 34225*l**2 + 34226*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161430477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*t + 8, -2*m - t = -m + 3. Which is the nearest to -1\/4? (a) m (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37879800 divided by 20?\nAnswer: -1893990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 2 + 9 - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-238)\/(-1190) + 6\/3 + 23\/(-15)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - 14527373?\nAnswer: -14527365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 + 8*w**3 - 74*w**2 + 136*w - 72.\nAnswer: 2*(w - 2)**2*(w - 1)*(w + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-4)*(-20)\/(-35)*1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 69*w - 10 = 142*w - 65*w, 9*w + 18 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/4179382 and -71\/498.\nAnswer: 12538146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 104 = 3*i + 103, -v + 5*i - 69 = 0. Let d = 177 + v. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 7. What is the smallest common multiple of c and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from {r: 3, h: 1, u: 2, i: 1, o: 1, v: 4}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2340153877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -5. Let n be (-3 - -1)*(-3)\/9. Sort n, -2\/3, w in ascending order.\nAnswer: -2\/3, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*c - 12 = 0. Let o be c\/30 - 2\/4. Let a = 206.7 + -208.7. What is the second biggest value in o, 2\/9, a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/1579400 and -83\/190720?\nAnswer: 50540800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*m**4 + 5*m**3 - 611*m**2 wrt m?\nAnswer: -336*m + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 7*q**3 - 85*q**2 - 8*q + 1. Let u(j) = -2*j**3 - 4*j - 1. Give -s(z) + 2*u(z).\nAnswer: -11*z**3 + 85*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -11. Let a = 1424\/7 + -203. Sort -0.1, m, a in ascending order.\nAnswer: -0.1, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 4, -92318.\nAnswer: -92318, -50, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 364791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -111*f - 329. Let n be u(-3). Solve -n*x = g - 14, 5*g - 4*x - 10 = -9*x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20121212 + -1?\nAnswer: -20121220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*x = 3, 0 = -3*o - 2*x + 11 - 0. Suppose -o*p - 5*d - 52 = -137, 4*p - 4*d - 92 = 0. Does 20 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 154 + 49?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-267 + 39 + 1)*(-4*p**2 + 2*p**2 + 5*p**2) to the form o*p**2 + m + u*p and give o.\nAnswer: -681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**7\/126 + 4*t**6\/45 + 19*t**5\/12 - 47*t**4\/18 - 470*t**3\/9 + 700*t**2\/3 - 3164*t. Determine x so that l(x) = 0.\nAnswer: -5, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-16)*2 - (-540)\/(-1904). Let q = -130\/3213 + o. Let i = 0 + 0.2. Sort q, i, 0.4 in increasing order.\nAnswer: q, i, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 438813237 to the power of 1\/2, to the nearest integer?\nAnswer: 20948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3698*b = -3703*b + 4*h - 20, -7*b + 2*h - 10 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13252 + 13252. What is the second smallest value in 6, -9.7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5*s + 155, 2*t + 26*s = 23*s + 97. What is the first derivative of 2*c - t + 17*c**2 - 10*c**2 - 5*c + 2*c wrt c?\nAnswer: 14*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1011211133 + 232313?\nAnswer: 1012110112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.9400005024 - 2.94. What is u rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73998011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*j - 50, -41*b + 45 = -36*b - j. Let p(x) = x**3 - 9*x**2 - 13*x - 6. What is p(b)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*w**2 - 55*w**2 - 15 + 70*w**2)*(-3*w - 4*w + 6*w)*((-1 + 4 - 2)*(0 + 1 + 1) + 1 + 1 - 3)*(4 - 6 - 1).\nAnswer: -33*w**3 - 45*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 27. What is the closest to -0.2 in s, -1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(5\/6)*(c*c*c**(-11)*c)\/c*c*c*c*c**(1\/5)*c*c\/(c**(3\/8)\/c)*c)**(-50) assuming c is positive.\nAnswer: c**(805\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3, -8\/5, 2, -0.08?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 3*m + 13 = 0, 4 = -4*j + 3*m - 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80834 and 61906.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 2, f: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9*((-2)\/8*-4 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 34. Calculate the smallest common multiple of p and 30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gx when two letters picked without replacement from {g: 1, x: 2, i: 1, v: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0*h = 5*h + 64, 21 = 2*l + h. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2. Let t be w(0). Suppose t = 2*g - 6 - 2. Suppose 0 = g*x + 16, 160 = -4*u + 4*x - 0*x. What is u rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6066 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**3 - 11*g**5 + 86*g - 18*g**5 + 52*g**5 + 8*g**5 wrt g.\nAnswer: 620*g**3 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0021122054 to four decimal places.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -117*m + 5. Let x be g(-1). Let h = x - 107. Calculate the remainder when 44 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3))**(3\/16) assuming v is positive.\nAnswer: v**(1\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 2:39 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 231 or 3484\/15?\nAnswer: 231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6395.127 grams to tonnes.\nAnswer: 0.006395127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*x - 36*x + 49333 = -67130. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033018 rounded to four decimal places?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4359 - 4347. Solve 4*l - l = o*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 13\/3, 8, -37, -4\/7, -1\/6, -0.5, 4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) 10 (c) 34\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2))**18\/(s**(1\/5))**36 assuming s is positive.\nAnswer: s**(-216\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 4, s: 3, r: 8, y: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 21, -2, -0.04, -4, -1\/24?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36854 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/156 and 125\/468.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294965 is divided by 407.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/473 and 11\/344?\nAnswer: 3784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 123278961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 4*j**2 - 14*j - 20. Give i(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 7 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.27276143 rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 12:59 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 221290977 to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**3 + 6*y**2 - 2*y - 2. Calculate l(4).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/702 and -95\/43446?\nAnswer: 391014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/4 and 157\/90?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1*(10 + 3))\/1. Let q = 15 + g. Suppose -4*p - h + 18 = -q*h, -23 = -3*p - 4*h. What is the second biggest value in p, -1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 52*q**3 + 17*q**2 + 6*q - 3. Let y(l) = 50*l**3 + 15*l**2 + 5*l - 2. Calculate 5*r(x) - 6*y(x).\nAnswer: -40*x**3 - 5*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4 - 2 = 3*j, -m + 26 = -5*j. Is ((-1497)\/m)\/((-1)\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dadafaadaaadd. Give prob of sequence af.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 700 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137*(4\/(-6) - 5\/(-3)).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.19 - 16. Let j = -300.82 - -301.01011. Let a = j - s. What is a rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 5, 38757 in descending order.\nAnswer: 38757, 32, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1935045, 1934740, 1934233, 1933524?\nAnswer: 1932613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 13.183944\nAnswer: -39.551832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1053 - 11.\nAnswer: -11.1053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 254621 and -2.\nAnswer: -509242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252780 = -28*v - 94*v - 43*v. What is the remainder when v is divided by 53?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3106?\nAnswer: 2, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-126540)\/703*6\/(-45)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 l when three letters picked without replacement from ljajalljjljaljjjaall?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(72) + 2 + -4 - -2*(sqrt(72) + 1))**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 2.683 (c) -9\/14 (d) -1 (e) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 84?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 78?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 229.08 + -0.08. Let z = y + -228.94. Which is the nearest to -1\/4? (a) 2\/7 (b) -0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2\/8 - 66*g - 23329\/8 = 0. What is g?\nAnswer: -41, 569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/83431 - 83413\/500586. Let i be 1\/3 - (-211)\/735. Let p = -1\/49 + i. Which is the nearest to p? (a) -5 (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 11*f + 5. What is the units digit of a(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q - 10. Let v(u) = u - 11. Let w(n) = 4*c(n) - 3*v(n). Let o(b) = -14*b + 20. Suppose -3*g - 250 = -268. What is g*o(a) + 17*w(a)?\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3412)\/(-92) - (16 + 1 - 73\/25185*5835)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487596?\nAnswer: 2, 3, 179, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -189.483 rounded to zero decimal places?\nAnswer: -189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 180780 (base 9) in base 10?\nAnswer: 112176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1\/4, 202, 15\/8?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*x - 197*x = -304. Solve -3*z = 5*u + 32, -5*u + 1 = -x*z + 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*y, 4*d - 4*y + 2*y + 4 = 0. Let i be d\/(-3)*-1 + 2. Let l(p) = i*p - 4*p + 5 - 1. Calculate l(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1342*h - 1463*h + 363. Solve 0 = -h*t - q - 4, 0 = -45*t + 48*t - 4*q - 16 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, 0.1, -19, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8788, -8782, -8788, -8812, -8860, -8938, -9052, -9208?\nAnswer: -9412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -575206409\/288074898 + -7002\/62273. Let a = 1\/514 - z. What is the common denominator of a and 1\/(-2)*68\/8?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/((sqrt(120)\/sqrt(3))\/sqrt(10)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {q: 11, n: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -65\/187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -553 + 556. Let q(t) = t**3 - 2*t**2 + 3*t - 2. Let p be q(1). Let a be (p + 1)\/(g\/6). Solve 5*u - 12 = 2*h, a*h = -0*u + 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2091494, -4182984, -6274474?\nAnswer: -8365964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2504 and 4.\nAnswer: 2504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3311 and 189028?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 164708834 and 95357746?\nAnswer: 1811797174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 + -1. Let i = d - -4.1. What is the second smallest value in i, -2\/15, -0.3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 + 63. Suppose 5*x - 34 = -3*l, 0*x + 30 = h*l + 3*x. What is the second derivative of -20*m + 27*m**l + 12*m - m**3 - 3*m**3 wrt m?\nAnswer: 138*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/18 and (175\/16)\/(-7) + -3?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-22)\/4)\/(2\/4). Let z = q + 15. What is the nearest to -1 in -2, z, 3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -6*(sqrt(84)\/(1*sqrt(6)*1))\/((sqrt(200) - (sqrt(200) - 1*sqrt(200)*-4) - sqrt(200)) + sqrt(200)).\nAnswer: 3*sqrt(7)\/20 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7873 - 74873. Round s to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -249.\nAnswer: -99.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j*(j*j\/(j\/(j*(j\/(j**8*j))\/j*j*j*j)*j))\/j*j)\/j*j*j**3 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**4\/4 + 15*s**3 - 99*s**2\/2 + 51*s - 69\/4 = 0. Calculate s.\nAnswer: -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 8*x**2 - 13*x - 6. Let l be p(-6). Factor 0*f + 2\/5*f**3 + 2\/5*f**5 - 4\/5*f**4 + 0 + l*f**2.\nAnswer: 2*f**3*(f - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from cece.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 + 10*z - 2. Let x be 1\/(-1 - -2) + -2. Let d(s) = s. What is x*j(h) + 10*d(h)?\nAnswer: -2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -4 (c) 0.1 (d) 29\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -6*b + 9. Give n(-11).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 2:42 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + (-4 + sqrt(2057)*3*-1 + -4)**2).\nAnswer: 2640*sqrt(17) + 92865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z**9))\/z)\/z*z**(1\/10)*z*z)**(-9) assuming z is positive.\nAnswer: z**(801\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 407023 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 19432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -527 + 1. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 203 * 372\nAnswer: 75516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -304 by 8.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 3*y + 4. Let z be j(4). Let c = 4 + z. Solve -1 = -c*m - 13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*x - 1548336 = -183*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 167026 and -17.\nAnswer: -2839442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 5*b - 7, 0*r - 3*r + 3*b + 15 = 0. Suppose -r*y = -y - 33. Suppose -3*n = -2*n + 5, n = m - y. What is the highest common factor of 12 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -184. Let r = 223 - x. List the prime factors of r.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o - 22. What is the remainder when ((-92)\/(-16))\/((-2)\/(-8)) is divided by s(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1\/13)*(u\/(u**16\/u))\/u)\/(u\/(u\/(u**(-2\/3)\/u))*u)**26)**(4\/11) assuming u is positive.\nAnswer: u**(532\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1718835054.\nAnswer: 2, 3, 286472509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 + 5*m**3 + 4*m**3)*(-4*m**2 + 3*m - 3*m) + (-m**2 + 3 - 3)*(-3*m**3 + 4*m**3 - 2*m**3) + 69*m**4 + 13*m**5 - 69*m**4.\nAnswer: -18*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -132?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/(-4))\/(7\/(-35))*(-186)\/(-155).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/5 + 3192*r\/5 + 1273558\/5.\nAnswer: 2*(r + 793)*(r + 803)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 87\/5 of a century?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52.42 - -52. Let o = -0.22 - l. What is the nearest to -6 in 4, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (104 + -274 - -149) + 45\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c25e97 - 5?\nAnswer: c25e92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 185458 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 90 - 448\/5. Let w = -3 + 3. Let f = w - 0.4. Sort f, b, 0 in ascending order.\nAnswer: f, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*b**5 - 155*b**4 - 85*b**3 + 230*b**2 + 40*b = 0 for b.\nAnswer: -4, -2, -1\/6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-3 + -1)*(-2)\/(28\/105) and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u - 3*i = 154 + 77 - 57, 44 = -4*u + 2*i for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 8 (b) 3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1929 - -1000. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 0 + 2122*q + 3785*q - 6 in the form s*q + m and give s.\nAnswer: 5907","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, j: 1, b: 4, y: 4, c: 7, s: 2}. Give prob of picking 1 y, 1 s, and 2 b.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t. Let x(y) = 2*y - 7. Let c be x(6). Suppose 0 = -2*i - 3*i + c, 0 = -2*u - i + 13. What is the units digit of g(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 + 181\/5. Let g = -1 - -1.1. Let r = -0.1 + g. Sort r, h, -3\/4 in decreasing order.\nAnswer: h, r, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -388 - -399. Calculate the highest common factor of 88 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23613 + 3?\nAnswer: 23616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 316897 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(45)\/sqrt(5)) + sqrt(243)*2.\nAnswer: 19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5927*j = -2*m + 5933*j - 50, 0 = 3*m - 2*j + 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 - 4. Suppose 4*a + v = y, 8 = -2*v + 4*v. List the prime factors of 128\/a - 16\/(-24).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 7:17 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 80607680 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 13*v**3 + 2*v**2 + v - 2. What is p(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 - -0.6. Let j = -15 + 29. Let z = -16 + j. Sort y, -5\/6, z in ascending order.\nAnswer: z, -5\/6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a - 108. Calculate the remainder when 106 is divided by a.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -59 from 5.414671.\nAnswer: 64.414671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100760817, 201521638, 302282459?\nAnswer: 403043280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -73 + 105. Calculate the smallest common multiple of 20 and p.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 4*c - 3. Let a(z) = -42*z + 5 - 3 + z**2 - 47*z + 93*z. Suppose 117*g - 85 = -436. What is g*a(b) - 2*r(b)?\nAnswer: -b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5742, -5745, -5748, -5751?\nAnswer: -5754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.07 + -5.93. Let c = -5 - b. Let s be 9\/7 + 3 + -4. Is s bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (46\/(-6))\/(1\/3). Let y = s - -33. Let h = y + 2. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 1620*l**4 - 5606*l + 9589. What is the derivative of p(v) wrt v?\nAnswer: 19440*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59.63 - 60. Let x = 0.67 + l. What is the third smallest value in -0.1, -1, 2\/21, x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1399.854 nanoseconds to milliseconds.\nAnswer: 0.001399854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (329 - (6 - 8))*(38 - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 3*z**2 - 4*z - 6. Let d(s) = s + 1. Give 6*d(f) + i(f).\nAnswer: -f**3 + 3*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -4. Suppose 3*r + b = 12. Suppose 20*g**2 + 14*g**5 + 5*g**4 + 24*g**3 + 4*g + 30*g**3 + 41*g**r + 6*g**2 = 0. Calculate g.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 340884424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -163 + 163. Suppose -12*x + 642 + 282 = o. What is the remainder when x is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**4 - 5691132*k**3 + 2164*k + 183 wrt k?\nAnswer: -12*k**2 - 34146792*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1691, 1400, 603, -952, -3517, -7344, -12685, -19792?\n\"Answer: -42*k**3 - k**2 + 6*k + 1728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -408 + 411.89. Let o = -0.11 - s. What is the third smallest value in o, -1\/8, -1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -78*h - 11 - 17*h + 6*h - 13*h - 38*h in the form p*h + x and give p.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 64880 divided by -12976?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -8*l**2 - 7. Let o(q) = q**2 + 1. Suppose -179 - 31 = 5*j. Let d be ((-7)\/(-2))\/7*j. What is d*o(p) - 3*w(p)?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**4 - 2*n**2 - 207985*n + 2515739.\nAnswer: 4*n**3 - 4*n - 207985","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((25\/(-5))\/(-5))\/((-6)\/2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 3*z + 11*z)*(-1102*z + 59 - 59).\nAnswer: -11020*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484414 is divided by 53823.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -141041 (base 7) in base 10?\nAnswer: -26783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17215499 is divided by 230?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-14) - 108\/(-14). Suppose -a - 4*q + o = 0, 4 = a - q + 21. Let i = a + 20. What is the greatest common divisor of i and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000032385778 to seven decimal places.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 132536910 times 0.2\nAnswer: 26507382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 2 + 5 + -1 + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*g + 116*g - 1736*g - 27424 - 2078 = 0 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**2))**(-39)\/(m\/((m**(2\/7)*m)\/m))**(20\/7)*m**(-3\/7)\/(m*m**(-6))*((m**(-7)*m)\/m)\/m*m*m*m**2 assuming m is positive.\nAnswer: m**(-3894\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -91, -133, -177, -223, -271, -321, -373?\n\"Answer: -r**2 - 39*r - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**3\/5 + 6*n**2\/5 - 27*n\/5 - 54\/5 = 0 for n.\nAnswer: -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 1168*v**2 + 4698. Let m(t) = 779*t**2 + 3132. Let o(r) = -7*a(r) + 10*m(r). What is the first derivative of o(l) wrt l?\nAnswer: -772*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 32 = b. Let h(p) = 34*p + 27. Let w(r) = -r - 2. Let v(l) = h(l) + 4*w(l). Is v(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 11) to base 8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 195415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 36.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10920 less than 1?\nAnswer: 10921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/4)*v*((v\/(v*v\/v**5))\/v)\/v)\/(v**1)**(-20) assuming v is positive.\nAnswer: v**(91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*v**4 + 129650*v - 8482502 wrt v?\nAnswer: -12*v**3 + 129650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x**3 + x**4 + 13*x + 18*x - 29*x to s + d*x + a*x**2 + u*x**4 + v*x**3 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**2\/13 - 8016*b\/13 + 8032032\/13 = 0?\nAnswer: 2004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/11 smaller than -443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 2*m**2 - 2*m)*(-7*m**3 + m**3 + 4*m**3) - m**5 + m**2 + 3 - 2*m**2 + 0*m**5.\nAnswer: 3*m**5 - m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16714 - 8811. Let f = -4110 + g. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 5:36 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10664 + 34769 = -532*b - 5155 for b.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 477\/45 + (-6)\/10. Let b(l) = -3*l - 10 + h - 2*l. Let g(x) = 11*x**2. What is g(b(d))?\nAnswer: 275*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/20*(-32)\/(-144)*(-90)\/(-12)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 (base 13) in base 8?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 1, -91, -126, 3, -4 in ascending order.\nAnswer: -126, -91, -43, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*z**3 - 10*z**3 - 68*z**3 - 8*z**3 - 38*z**3.\nAnswer: -101*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -8. Let a be 0 + x - 15\/((-90)\/24). Let k(z) = -8*z**3 + z**2 + 2*z + 1. Let r be k(-1). Solve a*t = t + r for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 5*w + 0*w)*(-2 + 2 + 2*w) + 23 + w**2 - 23.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**2 - 1857*g + 1854 = 0?\nAnswer: 1, 618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 618887.\nAnswer: 19, 32573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24771 to the power of 1\/2, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 76236744?\nAnswer: 1\/76236744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -12 - (-3 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**3 - 6 + 2*s**4 - s**3 + 5 + 4 - s to the form g*s**2 + u + f*s**3 + y*s**4 + d*s and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 + 369?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 539447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 25 = 4*w, 5*w - 14 + 0 = 2*q. Let c be (-4)\/6*(2925\/26)\/(-25). Suppose -y = c*j - 215, -4*j = -q*y - 119 - 146. Is 35 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d**9*d)))\/(d\/d**(1\/14)))**(-16\/3) assuming d is positive.\nAnswer: d**(-1016\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 4)\/((-2)\/(16\/2)). Suppose -32104 = 3*y + 2*k, -u*k + 17246 = -3*y - 14846. Round y to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -941, 33 in descending order.\nAnswer: 33, -6, -941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4.42568404124+1.9\nAnswer: 6.32568404124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -267 bigger than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9750\/240 - 31 - (-25)\/(-40)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 11*r**2 - 4*r - 1. Let p = -40 - -38. Let t be f(p). Suppose 7 - t = -2*g - z, -22 = -g - 5*z. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*i + 213 - 1409. Let m be 2\/4*-3*-2. List the prime factors of (8\/m)\/(i\/195).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 - 5*n - 18. Let g be f(5). Suppose -g*l + 176 + 27 = 0. Differentiate -12*v**3 - l*v + 22 - 65 + 30*v with respect to v.\nAnswer: -36*v**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.1 - 0.9. Let v = -0.08 - -4.08. Which is the third biggest value? (a) g (b) v (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*k = -5*j + 3765, 4*j + 2*k - 3012 = 0. Let p = j - 410. Is 30 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (66\/9)\/(4\/6). Let s be (-2)\/w - (-168)\/(-44). Let z be 87\/(-105) - s\/10. What is the biggest value in -1\/7, 5, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26429606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 2*j**2 - 3*j. Suppose -31 = -5*x - 4*h, -x + 2*x = -2*h + 11. Let u be n(x). Is 7\/6 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 4:42 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 46. Let n = r - 19. Suppose 6*v - 3*v + 5*l + 14 = 0, v = -5*l - 18. Which is the closest to v? (a) 0.2 (b) n (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -9 - (3 + 6 + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 285 + -284.361. Let y = c + -0.61. Let k = -0.206 - y. What is k rounded to 2 dps?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2781?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-10))\/(1\/(-25)). Let j be (-18)\/g + (-5)\/(-25). Suppose j*k + 3*k = 15. What is the least common multiple of 7 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11683800 rounded to the nearest 100000?\nAnswer: 11700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104*j*m**2 - j*m + m**2 + 77*m wrt m.\nAnswer: -208*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a + 5*a - 1704. List the prime factors of 53*5 - a\/71.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 4*o**2 - 7*o + 1. Let v be y(4). Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -739 - -2243\/3. Find the common denominator of g and 671\/231 - (-6)\/45 - 4.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4996 divide 362894452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 5:04 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-63)\/15 + -1?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0 + 3 = 0. Suppose -y = -2*y - 3, -2*g - i = 3*y. Is g even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7852 divided by 23\nAnswer: -7852\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 0.05 (b) 25\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6491 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: Simplify (h\/(h*h\/(h*h\/(h*(h*h\/h**(2\/5)*h)\/h)*h))*h**3)\/(h*h*h**(1\/3))**(3\/8) assuming h is positive.\nAnswer: h**(61\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 292 and 14.\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-14)*d**(11\/3))\/((d*d**16)\/d*d*d*d**(2\/47)*d) assuming d is positive.\nAnswer: d**(-4142\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 c when two letters picked without replacement from yvlclclyyylvy.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -105 + -71406472?\nAnswer: -71406577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098 a factor of 6702192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 22 + -6 - 9 - 10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*a - 5. Suppose 4*v + 3*c + 5 = 0, 3*v - 2*c = -0*c + 9. What is the derivative of -v + 3*y + 2*y + 4 + a wrt y?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/7 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 54823.002 to the nearest 1000.\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**3 + 26*r**4 + r**2 + r**3 - 21 - 3*r**3 - 24*r**4 as m*r**3 + n + i*r**4 + a*r + v*r**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14248, 14122, 14000, 13888, 13792, 13718, 13672, 13660?\n\"Answer: k**3 - 4*k**2 - 121*k + 14372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/185 and 187\/9780.\nAnswer: 361860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(48) + -1 + (sqrt(3) + sqrt(3)*-1 + -4)**2 + (sqrt(12))**2*5 + 5)*-6.\nAnswer: 72*sqrt(3) + 1440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 24, 102, 234, 420, 660, 954, 1302?\n\"Answer: 27*s**2 - 3*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 443407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - -1046092509.\nAnswer: 1046092509.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 19*u + 42. Let w be o(2). Let g(c) be the second derivative of w*c**2 + 0 + 4*c - 1\/20*c**5 - 1\/3*c**3 + 1\/4*c**4. Solve g(s) = 0 for s.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-12))\/((-2)\/(-18)). Let i = 8 + h. Suppose i*y = -y + 3. Put -3, y, -5 in decreasing order.\nAnswer: y, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000019710421 to seven dps.\nAnswer: -0.0000197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 - 132 = -3*z. Let c = z - 38. Suppose x = -2*r + c + 32, 2*x = 0. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -6. Let o = 3 + z. Let c = -2.1 + o. Round c to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 18*o = -114, h + 29 - 9 = -4*o + 12 + 8 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxrrrxxr. Give prob of picking 1 r and 3 x.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*c - 109 = 68 + 823 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (53 + (-5029)\/94)*-1*(-1 - 1). Suppose 2*o + 0*g = 2*g + 10, o + 13 = -5*g. Sort o, -8, l in decreasing order.\nAnswer: o, l, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.18 - -0.05. Let w = -1583.2 + 1583. Which is the second biggest value? (a) 4 (b) w (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**7\/98 + 9*s**6\/35 + 9*s**5\/140 - 13*s**4\/7 - 18*s**3\/7 - 2*s + 574. Find i such that t(i) = 0.\nAnswer: -1, 0, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i. Suppose -1 - 80 = -3*w. Let k(u) = -3*u - w + 56 - 29. What is k(m(h))?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15652 + -15649. Put 0, -298, 4, k, -3 in descending order.\nAnswer: 4, k, 0, -3, -298","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -2000102231123?\nAnswer: -2000102231130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -172 + 268. Suppose -7*v = -f - 2515. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**4 + 1 - 1)*(-13 + 15 + 20)*(-8 + 4 + z - 4).\nAnswer: 22*z**5 - 176*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**3\/3 + h. Let g(p) be the third derivative of -p**4\/12 - p**3\/6 + 5*p**2. Let d = 2 + 0. What is d*g(v) + 3*l(v)?\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.08 + -0.02. Let n = -11 - 1. Which is the smallest value? (a) -3 (b) v (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3956686 rounded to 3 dps?\nAnswer: -0.396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -768? (a) -7 (b) 2\/319 (c) -0.5 (d) -1\/11 (e) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6*o**2 + 4. Let f = -5 + 8. Suppose -3 = -n - 3*n + f*u, -n - 5*u = 28. Let z(k) = -5*k**2 + 3. Give n*y(j) + 4*z(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 181418.02 and 32?\nAnswer: 181386.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84 - 309. Let d be o\/(-81) - (-5)\/(-3). Which is bigger: d or -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 3*y**2 + 3*y - 2. Let u be v(2). Suppose -u = -p + 7. What is the remainder when 43 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 225, 443, 641, 807, 929, 995, 993?\nAnswer: 911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 20, 172, 450, 842, 1336, 1920, 2582?\n\"Answer: -2*u**3 + 75*u**2 - 59*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.71 + 15. Let c = t + -5.29. Put 2, c, 2\/13 in decreasing order.\nAnswer: 2, 2\/13, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - w**2 + 5. Let v be r(0). Suppose 4*l - q + 9 = 0, 2*q + 4 = l + 15. Let m = v - l. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2699197?\nAnswer: 19, 7477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/((-33)\/(-6) + -4). Suppose -4*f + 119 = 3*b, m*b - 64 = -4*f + 56. List the prime factors of f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28605*v - 28630*v + 100 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 20 = -6*s. Suppose 5*t = -0*v - s*v - 1, 0 = -3*v - t + 2. Solve -x = v - 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4261100611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23174 and 2514379?\nAnswer: 5028758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -2*j + 5*s, 152 = 2*j - 4*s + 126 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1452921 (base 12) to base 15\nAnswer: 55bbb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q**2 - 97*q + 911. Give h(-29).\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 - 17*h**3 - 3*h**3 + 0*h**2.\nAnswer: -20*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -l - 15. Let i = l - -87. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3*u + 8. Let k be 2*-1 + 4*(-8 + 9). Solve -5*w = 15, 0 = -0*j - 5*j - u*w - k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + 4 - (62 - 37).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/44)\/(159\/636).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 104104\/(-3040) - (-2)\/(-8). Let s = 173\/5 + z. Let t = 28\/11 - 163\/77. Sort s, -0.07, -0.5, t in descending order.\nAnswer: t, s, -0.07, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 3*x + 17. Let g(j) = -j**2 - 7*j - 2. Let z be g(-6). Let t = 28 + z. Calculate the remainder when t is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*d = -1990. Let z = 585 - d. What is the highest common divisor of z and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.476 + 13.6. Let i = 3.124 - m. What is the smallest value in i, 4, 13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d*i**3*p + 79*d*i**2*p - d*i*p - 22*i**3*p wrt i?\nAnswer: 18*d*p - 132*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 140197.\nAnswer: 140198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.7 - -8.7113. What is d rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(-4) - (-2 + 119 - -4). Let c = -120 - t. Factor -10*g**3 - 4 + 15*g**4 + 15*g - 1 + 30*g**2 - c*g**5 - 40*g**2.\nAnswer: -5*(g - 1)**4*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 6:22 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-12))\/((-15)\/9).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 6*k**2 - 190*k - 59. Let t be u(32). Let m(w) = 22*w**2 - 3*w. Let f(z) = -44*z**2 + 5*z. Calculate t*m(g) + 3*f(g).\nAnswer: -22*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -18 + 43 + -18 + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115088039, 115088037, 115088035, 115088033, 115088031, 115088029?\nAnswer: 115088027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62 + 127. Let h = 242 + z. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/(-13) - (-12)\/234*-3. Solve 0 = d - z + f + 3, 3*z = -2*d - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 705685 + -705682. Determine m, given that h*m**4 + 33\/4*m**3 + 0 - 3\/4*m**5 + 9\/2*m**2 + 0*m = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 2*g - 2*m, 0 = g - 5*m - 58 + 20. Suppose 6*v - v - g = 2*x, -5*v - x + 6 = 0. Factor -2\/3*h**3 + 2\/3*h - 2\/3 + 2\/3*h**v.\nAnswer: -2*(h - 1)**2*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -481 divided by 174.\nAnswer: -481\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*q - 15 = 0. Let n(i) = i**2 + 3*i - 4. Let u be n(-4). Solve u = -q*g - 8 + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 1 - 1\/6*n**4 - 1\/30*n**5 + 3\/2*n**2 + 0*n - 1\/3*n**3. Let x(g) be the second derivative of k(g). Factor x(z).\nAnswer: -2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + sqrt(45) + (sqrt(225)*-1)\/sqrt(5))\/(sqrt(9) - (5*sqrt(54)\/sqrt(6) - sqrt(9)))*2 + -2.\nAnswer: -2 - 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 12:01 AM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**6\/180 - 5*x**4\/24 + 2*x**3\/3 + 7*x**2. Let a(o) be the first derivative of y(o). What is the derivative of a(m) wrt m?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 111. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 1\/5, -0.3, 41?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 478339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7}. Give prob of sequence zzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 14*u - 2. What is b(9)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35140269 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3351626?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -526, -502, -490, -490, -502, -526?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3099829*h**2 - 29617298 with respect to h.\nAnswer: -6199658*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - k + 3*k + (2 + 1 - 5)*(3 - 3 - k) + 3*k - 2*k + k - k + 3 - 3)*(3*k**2 - 6*k**2 - 2*k**2).\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -11120424314?\nAnswer: -11120424320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113 + -97 + (6 - 0 - -55) + (-8 - -10).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 4. Let i be y(4). Let w = i - 12. Let c = 15 - w. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 38*f + 21. Let s(t) = -222*t - 123. Let u(p) = 35*d(p) + 6*s(p). Let b(a) be the second derivative of -a**3\/6 + a**2\/2 + a. What is -4*b(k) - 2*u(k)?\nAnswer: 8*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, 2\/63, 1\/4, -5?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g + 0*g + g + (3 + 0 - 1)*(0 - 2*g + 0) + 2 + g - 2)*((-3 + 3 + 1)*(-5*g + 1 - 1) + 51 - 51 + 3*g) to the form y + p*g**2 + f*g and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 3, 9 = 4*n - 6*z + 3*z. Suppose 0 = 2*c - 2*a + 12, 3*c + 2*a + 0 = 2. Is n < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -138401*l**4 + 7251*l - 10?\nAnswer: -1660812*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18476 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -17 + -2 + -169 + 165.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -241 - -193. Let o be (3\/12)\/(-4 + (-206)\/z). Which is smaller: o or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/4)\/((-249)\/664). Let a(p) = -p**3 - 5*p**2 - 12*p - 20. Let i be a(l). Solve -g + 90 - i = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-14))\/((-102)\/(-476)). Find the second derivative of 41*v**4 - 20*v**w - 24*v**4 - 34*v - 14*v**5 wrt v.\nAnswer: -280*v**3 - 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + -3*(sqrt(1900) - (0 + sqrt(1900)))*-4)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/45 + (-12)\/30 - (-34)\/(-17). What is the second biggest value in w, 2\/3, -64?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - k + 29. Let w(b) = -b + 6. Let t(x) = -x**3 + 5*x**2 - 3*x + 2. Let l be t(4). Let c be w(l). What is the units digit of v(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**5\/20 + y**4\/6 + 2*y**3\/3 - y**2\/2 + y + 7. Give z(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (-2)\/2 + 1. Solve 6*n**4 - 2 + n**3 - 5*n**3 - 2*n**5 + 6*n - 4*n**2 + 0 + 0*n**j = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 448 and 38966032.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of 79*p**6\/360 + p**5\/60 - p**4\/8 - 2*p**3 + 8*p**2. Let o(a) be the first derivative of y(a). Is o(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/35)\/(48\/(-168)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -605120 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - h - 3 + 5 = 0, h = 3*l. Let u be -3*(-1 + 2)*l. Solve -3*i = -u*j - 21, i - 2*i = j + 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d - 372. Let v(s) = 25*s. What is r(v(i))?\nAnswer: -50*i - 372","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 6.9, 5, 74?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h**2. Let p(x) be the third derivative of 0*x - 3*x**2 + 1\/60*x**5 + 0 + 0*x**3 + 0*x**4. What is p(v(w))?\nAnswer: 25*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 - 210.330783.\nAnswer: -210.390783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -44.1 and -8.\nAnswer: 352.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(143)*-1 + (sqrt(143) - 1*sqrt(143)*-1))*-1)\/(3*sqrt(1100) + sqrt(11) + (1*sqrt(77) + sqrt(77))\/sqrt(7)).\nAnswer: -5*sqrt(13)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34 in 61, 1\/9, 1, 4?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2047000 rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by (-4 - -2)\/(-2) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10011011100000000001001 (base 2) to base 15\nAnswer: -6a9b58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mh when two letters picked without replacement from vvorlrlvvvhlm?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 41*c**2 - 6685*c + 321. Calculate o(163).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5305447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10527 and 300?\nAnswer: 1052700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -37 - 3*b + 53*b**2 - 51*b**2 + 4*b. What is the units digit of y(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 607113729 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 3*z - 30, -341*z = 4*a - 337*z - 16 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 + -31. Let n = l + -12. Solve a = 2*a + x - 2, 0 = n*x + 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(9\/7))\/k**(-4\/7) assuming k is positive.\nAnswer: k**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 1 + 5 = 0, f - 5*m + 156 = 0. Let b = 260 + f. Let w = b + 89. Round w to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 + f + 2. Let s(d) = d. Let k = 45 - 66. Suppose 0 = -2*m - 3*m + 110. Let y = m + k. Calculate y*t(x) - 2*s(x).\nAnswer: 2*x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2039 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*i**3 - 11*i**3 + 8 - 6 - 10.\nAnswer: -40*i**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-200)\/(-80) - (3 + -2 - 0)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 3:53 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 0*f - f - 15.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 12.18.\nAnswer: 48.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 89a46 (base 16) to base 2\nAnswer: 10001001101001000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n. Let x(w) = -1. Let t(b) = 4*b**2 + 24. Suppose 4*q - 4*v = 5 - 17, 3*q - 2*v + 7 = 0. Let k(p) = q*t(p) - 24*x(p). Give k(l(u)).\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 12:17 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 5*j + 61 = -3*f, 4*f - 5*j + 78 = 0. What is f rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hx when two letters picked without replacement from {f: 1, h: 5, x: 4, o: 1}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -3.5. Let d = 24 + -48. Let y = d + 24.3. What is the second smallest value in b, y, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**3 - s**3 - 744*s + 1559*s - s**3 - 815*s.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-27)*(-306)\/3927?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-46)\/6)\/((-51)\/612). Let c = w + -92. Solve 5*t - 11 = -c*t - 2*h, 0 = t - 5*h + 14 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3*(h\/h**1)\/h*h)**(-2\/33) assuming h is positive.\nAnswer: h**(-2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(132) + -6*sqrt(132)*-2 - sqrt(132)) + sqrt(132))*3)\/(2*(sqrt(12) + sqrt(36)\/(sqrt(9)\/sqrt(3)))) + 1.\nAnswer: 6 + 39*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -10*b**3\/3 + 51. Let j(d) = -5*d**2. Give q(j(t)).\nAnswer: -250*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 3\/5 (b) -2\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*d**4*u**2 - 385599*d**3*n*u**3 + 2*d**2*n*u**2 + 138*d**2*n - d**2*u**3 + 10*d**2 - 62*n*u**2 + n wrt d.\nAnswer: 216*d*u**2 - 2313594*n*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31 and 0.04.\nAnswer: 1.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3213 divided by -4784\nAnswer: -3213\/4784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -740914*p + 739780*p - 66906 = 0 for p.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8821293 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 445 and 36401?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 349819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**4 + 3*o**4 + 5*o**4)*(10 - 2 + 0) + o**4 - 3*o**4 - 8*o**4.\nAnswer: 54*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12, 3423, 6834, 10245, 13656?\n\"Answer: 3411*m - 3399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4 + -4*(-3*-1*sqrt(17) + 2 + sqrt(17) + sqrt(17) + -4 + -3))**2.\nAnswer: -640*sqrt(17) + 7056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*g - 88*g + 84 = 0. Suppose g*t = 505 + 923. List the prime factors of t.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22549\/(-35) + 18\/(-180). Let w = v + 645. Sort -2\/17, w, 5 in increasing order.\nAnswer: -2\/17, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -257 - -255. Suppose -c = 10 + 3. Let k = -12 - c. Sort 0, k, s in decreasing order.\nAnswer: k, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 856, -7, -2592, -6899, -12928, -20679, -30152?\nAnswer: -41347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, 59 in decreasing order.\nAnswer: 59, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 6*j**2. Let x(g) = -19*g**2. Determine x(c(m)).\nAnswer: -684*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-3))**7)**19 assuming m is positive.\nAnswer: m**(-266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + o**2 - 7*o - 1. Let j be c(-3). Suppose j*v + 25 = 71. Does 23 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -17) + -34 - -6\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four thirds of a century in months?\nAnswer: 29600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 295 + -293. Is 1.1 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 97.45506548 to three decimal places.\nAnswer: 97.455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 403 and 4997681.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/1*-2*28\/(-24). Let a be (5*(-7)\/u)\/((-1)\/27). Solve a = -5*t - 2*x, 2 = -3*x - 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 - 5*v. Let a(h) = -92*h + 203. What is d(a(k))?\nAnswer: -16928*k**2 + 75164*k - 83433","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + 4 + -3 + 2*(3 + sqrt(99) + sqrt(99)))**2.\nAnswer: -8240 - 960*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2693 - -26873\/10. Let x be 118\/(-8) + 1\/(-1). Let d = x - -387\/20. Calculate the common denominator of d and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*u + 183 = 0, 0*u + u - 117 = -2*p. Suppose 0 = 2*o - 0*o + 3*h - 31, 3*o - 41 = h. What is the highest common divisor of o and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/17, 3, -0.05, -3.2, 6\/11, -0.1?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1149424 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1020000 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 3\/1)*4. Suppose 0 = -5*o - 15, -o + 5 = k*n - 0. Suppose 0 = -n*x + x + 19. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 11*u. Let b(n) = 52*n**2 - 1876. What is g(b(x))?\nAnswer: 572*x**2 - 20636","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**4 + l**2 - 1. Let o(s) = 29*s**5 + 3*s**4 + 3*s**2 - 34*s - 3. Let t(j) = -o(j) + 3*z(j). Find the second derivative of t(c) wrt c.\nAnswer: -580*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/17, 4, -1, -5, -322?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -7, -733.3, -0.5, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 2*d + 525. Suppose 41*u - 1629 - 1328 = 4015 - 1437. Calculate the lowest common multiple of d and u.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(-9*i**4 - 14*i**4 + 18*i**4) + 6*i**4 + 18*i**3 - 18*i**3.\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 3\/2, -0.5, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in -0.05, 0, 0.1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -48 + 111 + -36 - (2 - -1) - 11\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -0.8786010800558?\nAnswer: 0.9786010800558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 99381 and 0.25.\nAnswer: 99381.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 1 + 1)*(3 - 1 + 2) - 53 + 18 + 16 + 19 + 359*z.\nAnswer: 355*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -5 (b) -2\/13 (c) 0.12 (d) -52425\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.9*1.\nAnswer: 12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) - -3*(sqrt(1900) + sqrt(1900) + 0 + sqrt(1900))) + 5.\nAnswer: 5 + 100*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -22298.83672994 and 0.4.\nAnswer: -22298.43672994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1102559?\nAnswer: 53, 71, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14\/31? (a) -0.4 (b) -2 (c) 3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 4 = -2*g + 4*o, -g = 5*o + 23 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 475716770?\nAnswer: 2, 5, 37, 149, 8629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 315\/(-30)*(-88)\/3696.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4960 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 6*4*(-3*sqrt(1700) + 0))**2.\nAnswer: 8812800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -11020 (base 4) to base 16\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89084.\nAnswer: 2, 22271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/3))**(-2\/39) assuming f is positive.\nAnswer: f**(-8\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000007289 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 82067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.4 - 5.1. Let u = b + -3.8. Let l = 19.95 - 20. Sort 0.3, u, l in ascending order.\nAnswer: l, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 - 46 - 32) + (7 - 23).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.30445 take away 0.71?\nAnswer: -1.01445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2004282840 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 7:19 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/(102\/(-2754))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of s**4\/2 - 4*s**3\/3 - s**2 + 4*s - 5. Factor r(m).\nAnswer: 2*(m - 2)*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003688 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5220\/2520 - 3\/2. Which is the second smallest value? (a) -3 (b) -5 (c) l (d) -1 (e) 157\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11418540 divided by -5709270.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8498*g**2*w**2 - 19*g**2*w + 457*g**2 - g*w - g + 2*w**3 wrt w?\nAnswer: 16996*g**2 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 784 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -95.99999936 + 96. What is r rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2195, -2224, -2291, -2414, -2611, -2900?\nAnswer: -3299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -736 + 736 + 71*f**3 + 2*f**2 + (1 - 1 - f)*(-f**2 + 0 + 0).\nAnswer: 72*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14172237.\nAnswer: 3, 17, 211, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + c - 1. Let y(x) = -30*x**2 + 18*x - 18. Let n(b) = 3*b. Let h be n(-6). Let g(p) = h*k(p) + y(p). Let o(d) = d. Give o(g(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18203 + -18204. Which is the closest to -74? (a) 0.3 (b) -4\/3 (c) i (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1857, 1133, -63, -1719, -3823, -6363?\n\"Answer: 2*b**3 - 248*b**2 + 6*b + 2097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 161992 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/((21\/98)\/(102\/476)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, t: 3, g: 1, q: 4}. What is prob of picking 1 q and 1 t?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**3 - 230*x**2 - 4*x - 83089. Calculate t(118).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**2*b*b**(3\/7)*b*b*b*(b\/(b*b**(-2\/9))*b*b)**(-33) assuming b is positive.\nAnswer: b**(-1405\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2711.2 - -2955. What is l rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(0 - (-4)\/4). Is 44 a factor of (0 - 1)\/m*(-3 + 242)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by ((-28)\/5)\/(2\/(-5)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k + 1. Let q be c(-3). Suppose -q = -p + 15. Suppose -38 = -3*v + p. Does 20 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.8 + -11.5. Let s = -7 - y. Which is the second smallest value? (a) 2\/5 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1 + (((sqrt(11) - sqrt(44))*6 - sqrt(11))**2 - sqrt(11)))*1 - (sqrt(88)\/(sqrt(8)*-1) + 2*(sqrt(11) + -3))).\nAnswer: -4*sqrt(11) + 1092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 2*s - 29 = -3*s + 5*o - 24, -2*o = 14*s - 80 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 5929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qccqqcjjqffcq. Give prob of picking 4 c.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*((sqrt(2736) - (-4 + sqrt(2736))) + sqrt(2736)) - sqrt(2736)) + sqrt(19) + 5 + sqrt(152)\/sqrt(8) + -1)**2.\nAnswer: 2400*sqrt(19) + 48076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t**33\/t*t)))\/(t*t**(21\/4)*t))\/((t**(-3\/38)\/t)\/(t*t\/(t*t**21))))**(7\/8) assuming t is positive.\nAnswer: t**(3633\/608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245 = -z - 2*y, 2*z + 5*y - 548 = -60. Suppose -5*x - 2*m = -1929, -z = 2*x + m - 1021. What is the highest common divisor of 105 and x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6822956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(7) - sqrt(42)\/sqrt(6)*1)*3 - (-2 + (sqrt(7) - (sqrt(7) - (0 + sqrt(112)))))) + -3)**2.\nAnswer: -520*sqrt(7) + 2969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -921081.5324 and 0.5.\nAnswer: -921081.0324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 1)*(-6*b + 7*b**2 + 6*b).\nAnswer: -35*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6961, 13920, 20881, 27844?\nAnswer: 34809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2. Suppose 0 = 2*t + t - 6. Let h be -5 + t + 2 + 1. Let c(d) = h*d + 0*d - d. Determine m(c(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (-8)\/(-10)) + 2033\/535. Solve 0 = -2*t - t + w - 9, -q*t - 20 = -4*w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75\/(-30)*4\/(-5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1452819920529 and 5?\nAnswer: 1452819920534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(12) - (sqrt(12) + -3*sqrt(36)\/sqrt(3))) - 1*(1 + sqrt(275) + sqrt(275)).\nAnswer: -29*sqrt(11)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/6*(11 - 14). Let b be (3\/(-9))\/(q\/12). What is the third biggest value in -3, b, -4\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h + 175 - 175.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - (-33)\/(-9))*-6. Let b(u) be the third derivative of u**5\/60 - 5*u**4\/24 - u**3\/6 + u**2 - 21*u. Determine b(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*c, -5*c = 704*r - 700*r - 29 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 12*l**2 - 5*l - 12. Calculate h(-12).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5 = 15. Let b be 3\/(-15) + 28\/(-10) - g. Let n be 1\/(2\/22) + 11 + b. Solve 4*u + v - n = 0, 3*u - 25 = -2*u - 5*v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/((-154)\/(-319))*2*-3. Is 343\/4 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 1 - 0)*6. Suppose 215*n - 257 = 35 + 353. Solve -c + 15 = -n*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 78, 2 in decreasing order.\nAnswer: 78, 2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2 + 28*m - 10. Let x(w) = w - 1. Let n(p) = t(p) + 5*x(p). Determine n(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f - 7*f + 11*f - 11. What is x(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (0 - 7 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4349037?\nAnswer: 3, 7, 11, 67, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99450.\nAnswer: 2, 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/9 - 456\/(-108). Solve 2*k + 2 = -3*p, 0 = -2*k - 0*k - t*p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-6) + 6 + -2.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11.27 from 3.1.\nAnswer: -8.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 770, 6107, 20634, 48959, 95690?\nAnswer: 165435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4210, -16783, -37738, -67075?\n\"Answer: -4191*h**2 - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/7 - 195\/(-21). Suppose 4*z - 86 = -5*x, 0 = -3*x + 3*z + 79 - 22. Let o = x - u. Solve -o = -6*q + 3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, -23, -133, -295, -515, -799?\nAnswer: -1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3314 - 3708 = 136*j - 6478 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 j, and 1 f when three letters picked without replacement from {p: 5, f: 2, j: 5}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/8 - -47\/168. Let f = 1835\/13 + -141. Which is the biggest value? (a) -1\/3 (b) x (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 209, 211, 213, 215?\n\"Answer: 2*b + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7257039689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 24.44798nm?\nAnswer: 0.00000000002444798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3700 - -3968.7. What is r rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110110010110 - 11101011101011?\nAnswer: -1000100010000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18930730 divided by -7.\nAnswer: 2704390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 67181533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/1851 and -67\/16044.\nAnswer: 9899148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*r - 17 + 5 + 9 - 257*r.\nAnswer: -283*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39870?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/15)\/((-4)\/10). Which is the third biggest value? (a) 5 (b) w (c) 3\/2 (d) 0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 4455.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 17 = 7*s, 89 = -3*s + 86 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -5*g - 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2219\/4623 + 29\/69. Which is the nearest to 0? (a) 0.3 (b) -2 (c) w (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 173\/5 - (-8)\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 0*p + 0 - 1\/60*p**5 - 11\/3*p**3 - 1\/2*p**4 + 6*p**2. Let v be d(-9). Solve v*m = -4 + 19 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, y: 9, q: 5, w: 1}. What is prob of picking 1 q and 2 y?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8736300467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-4) + (-56)\/19. Let q(v) = v**3 + 8*v**2 - 10*v - 6. Let x be q(-9). Suppose 3*j + 15 = x*h, -j + 3*j = -2*h + 6. Which is greater: o or j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 282899 and 237?\nAnswer: 848697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 + 15 + -57 - 61.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -5*x - 36. Suppose 0*v + x = v. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 0, -9, 8, 3, 19, -12 in decreasing order.\nAnswer: 19, 8, 3, 0, -9, -12, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/(-40) + (-114)\/(-15). Suppose -s*w - 174 = -11*w. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3727.85575 rounded to the nearest ten?\nAnswer: 3730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.2 - 0.43103892.\nAnswer: 9.76896108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4981 times -3103\nAnswer: 15456043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**4\/4 - h**3\/3 - h**2. Let z(j) = 17*j - 7. Let v(l) = -11*k(l) + 4*z(l). What is v(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4801 and -15676.\nAnswer: -75260476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2514580 to the nearest integer?\nAnswer: 1586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 6*q**2 + 3*q + 8. Let d be c(-6). Is 4 a factor of d\/10 + 11*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from {e: 1, i: 1, k: 1, r: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 525 and 420.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 27. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 68*t**2 + 31*t + 537. Does 29 divide h(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 3*c - 6, -9 = -2*c - c. Let j = o - -8. What is the third derivative of j*b - 6*b**2 - 3*b**4 - 7*b wrt b?\nAnswer: -72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*-6)**2 + -4*sqrt(34)\/sqrt(2).\nAnswer: -4*sqrt(17) + 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 + 10*q**2 + 40*q - 224. What is i(5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (23 - 2) + -30 + (1 - 26) + -8\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: How many minutes are there between 3:41 PM and 9:03 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**2\/4 + 437*l\/2 + 26187\/4 = 0.\nAnswer: -29, 903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**4\/24 - 3*j**2. Give t(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3043*n + 3065*n - 1211 - 6104*n in the form a*n + z and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*10\/(-135)*6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33215 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pi when two letters picked without replacement from {i: 2, r: 3, f: 1, p: 5, s: 1, t: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 + 33. Let v be 8 - (-156)\/(-18) - 8\/s. Differentiate v - 2 + 17 + c + 0*c wrt c.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3 - 16 - 62 - 545*v. What is the hundreds digit of a(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1207704 is divided by 121?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 646, -0.12, -2\/9, 2 in decreasing order.\nAnswer: 646, 5, 2, -0.12, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 112171*g + 322174.\nAnswer: 112171","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*n + 41 - 41 to the form r + s*n and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 96720*d + 386908. Calculate k(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 3 (c) -18\/41 (d) -2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -13. Suppose 5 = v*z - 3. Solve 2*x = 3*x + z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*l - 2*l**2 + 22*l - 41*l + (-3 + 2*l + 3)*(-2*l + 0*l + l) - l + l - l**2.\nAnswer: -5*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 18 = -11*g + 15*g, q = 4*g + 6. Let f(w) be the first derivative of g*w + 1\/2*w**2 - 24. What is f(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448)*-5)**2 + ((sqrt(119) - (5*sqrt(119) + sqrt(119)))\/sqrt(7))**2.\nAnswer: 61625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10635058 (base 10) in base 15?\nAnswer: e011dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9674\/(-12438) + 1749\/27\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10182307 + 8417669 = 3*w. Suppose -i + q = 3*q - w, -i + 4*q = -6200016. What is i rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (372\/18)\/((-4)\/(-6)) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*f - 13, 3*i - 3*f = -0 + 21. Let m be 12\/(-30) + 27\/i. What is the third smallest value in 6, m, -0.1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -31b?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 938 + 932 - 2804 + 938 + 188*u as j*u + c and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5 - 1 - 13778*u + 4.\nAnswer: -13778*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 4*h - 8. Give d(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3020112232330 + 12?\nAnswer: 3020112233002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -18372 divided by 74\nAnswer: -9186\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8353 + 10*f - 3756*f**2 + 8340 - 16693)*(-2*f**2 - 3*f + 3*f).\nAnswer: 7512*f**4 - 20*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c - 3*c**3 + 2*c + 3*c - 3*c**3 wrt c.\nAnswer: -36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 2:42 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28\/21 + 6\/(-9). Determine s so that 2\/3*s**4 + 8\/3*s + 8\/3*s**3 + 4*s**2 + b = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -280 at most as big as -2528\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s**3 + 147*s**3 - 154*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 833 and 15190?\nAnswer: 258230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 - -9) + -6 - (-11987)\/(-1). Round y to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 73*r - 378 - 2250 for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 59, 165, 315, 503, 723, 969?\n\"Answer: -h**3 + 28*h**2 + 29*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26 or 253?\nAnswer: 253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m**3 - m**2 - m - 1. Let b be k(-1). Let z be (-2)\/8*2\/b. Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**6\/120 + p**5\/12 - p**4\/12 + 2*p**3\/3 + p**2. Suppose 76*u + 44 = 65*u. Does 11 divide a(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 686134228.\nAnswer: 2, 13, 13194889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22505, 45009, 67513, 90017?\nAnswer: 112521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6831871 and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36028743?\nAnswer: 3, 47, 255523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 580 and 141137490?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2*-15227)\/(-95 + 93).\nAnswer: 15227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25.2 + -25. Which is the biggest value? (a) y (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 0*f - 2*f**3 + 0 + 8\/5*f**4 + 4\/5*f**2 - 2\/5*f**5 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**(-10\/13)\/(s*s*s\/((s\/((s*s**0*s)\/s))\/s))**(-41)*(s\/s**(1\/12)*s**(-2\/3))\/((s*s\/s**(-4))\/s*s**(-4)) assuming s is positive.\nAnswer: s**(8529\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 - 1.6. What is the second biggest value in -1, -0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 + -36. Suppose -d + 2 = -0. Suppose -4*y + 56 = -t*x, -y + 55 = d*y + x. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14394 + 14499. What is the remainder when j is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, b: 2, m: 4}. Give prob of picking 2 m and 1 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*j**6*x + 2900*j**4*x + 141*j**2*x - 11*j**2 + 45*j*x - 2*x wrt j?\nAnswer: -1560*j**3*x + 69600*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 5 + 3. Suppose g*t + 4*v = -4, 3*v = 4*t + 5*v - 10. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i**3 - 12*i**2 - 6*i - 4. Let g be y(-2). Solve g = 32*r - 14*r + 36 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most 1405\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 121*-0.139\nAnswer: -16.819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence te when two letters picked without replacement from {r: 2, l: 1, u: 1, e: 1, k: 1, t: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/6)\/(((-8)\/93)\/(-4)). Suppose -5*u + k = -464. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + 27 - (424 - 412)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1309 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-357)\/140)\/(-17))\/(2771\/1630)?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1cefea (base 16) in base 5?\nAnswer: 441141201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -6, -0.2, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*d**4 + 1 + 83*d**4 + d**2 + 1 + 2*d**3 - 2*d**2 to b*d + p*d**3 + o*d**2 + v + c*d**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*p**3\/2 - 28*p**2 - 8*p.\nAnswer: p*(p - 4)*(15*p + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**3 + 99*s**2 + 1072*s + 3. Let t be c(-16). Let d(p) be the first derivative of -p**t - 32 + 9\/2*p**2 + 0*p. Factor d(m).\nAnswer: -3*m*(m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*x**3 + 234*x - 6217.\nAnswer: -9*x**2 + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000623 rounded to 5 decimal places?\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7097 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(275))*5*5*2 + 0 + 2)*-5)**2.\nAnswer: 25000*sqrt(11) + 17187600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022210000012 + -11?\nAnswer: -1022210000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(245) - sqrt(245)) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/25? (a) 16 (b) -192 (c) 15\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + sqrt(637) + sqrt(637)*-1)*-5 + 4*(sqrt(13) - sqrt(325)) + -3.\nAnswer: -51*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-1)\/(-2)*-6. Is 6 a factor of 14\/2 - (4 + h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 148045 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -27*x**3\/4 + 9223479*x**2 - 270554295*x\/4 + 248007771\/2 = 0.\nAnswer: 11\/3, 1366434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + (-24 - -11 - (-2 + 2))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5628, 11369, 17222, 23199, 29312, 35573, 41994, 48587?\n\"Answer: 2*p**3 + 44*p**2 + 5595*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4.9 (b) 3 (c) 2 (d) 4\/3 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -111 - 192. Let x = b - -148. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 1125*a**4 - 2846550*a**3 + 3604145*a**2 - 809300*a + 50580 = 0.\nAnswer: 2\/15, 1, 2529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b + 7. Let o(u) = -2*u**2. Give o(x(d)).\nAnswer: -2*d**2 - 28*d - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1008 and 651636.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 129495 and 12125.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59755 at least 59755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15004?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -503 + 711. What is the highest common divisor of 16 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11.718341 or -0.03?\nAnswer: -11.718341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 58*z - 1154. Calculate r(22).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -257*g + 291*g + 148*g + 526*g to the form j*g + n and give j.\nAnswer: 708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/12*(-150)\/90*4\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3172 and -164.39323.\nAnswer: -3336.39323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -337, -402, -467, -532, -597, -662?\n\"Answer: -65*g - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -321589468571 - -2.\nAnswer: -321589468569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 218, 1 in increasing order.\nAnswer: -4, 1, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (29*w + 0*w + 6*w)*(0*w**3 + 2*w**3 - 16*w**3) - w**4 + 0*w**4 + 2*w**4 in the form g + h*w**2 + d*w**4 + p*w + a*w**3 and give d.\nAnswer: -489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 19*k - 2018904 = -7*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 96, 239, 450, 729?\nAnswer: 1076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*q - 3*q**2 + 36*q - 12*q**2 - 5*q**2 + q**2 in the form a*q**2 + f*q + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1055*q - 7063 + 3898 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a decade in months?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.2 - -0.2. Let q = -3.76 + 0.76. Let y = q - d. Which is the second smallest value? (a) y (b) 0 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3055*i + 469 = -3122*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0.5 (c) 0 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(120\/1015) - 2408\/(-2064)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12715 is divided by 4229.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*3488.\nAnswer: -17440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (24640\/24)\/(-11)*-3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, t: 1, q: 1}. What is prob of sequence ii?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 5:48 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1 + 0*w - 15 - w. Is 2 a factor of g(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 10.7. Let x = -0.1 + a. Which is greater: -2\/11 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -12 + 14 + 16\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -295, 4, 5, 0, 2 in increasing order.\nAnswer: -295, -3, 0, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-6 + 2 - (33 - 18)) - -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -5*z. Suppose 25 = 3*r + 5*u, -2*r + u + 10 = -11. Let m(t) = -7*t - 2*t + r*t + 0*t. Calculate -10*m(n) - y(n).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/27*6\/7?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2. Let h(s) = 5*s**2 + 2*s + 1. Let j(v) = -6*v**2 - 3*v. Let k(n) = 3*h(n) + 2*j(n). Let q(t) be the first derivative of k(t). Give q(l(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 7.8. Put b, 13, 0.3 in descending order.\nAnswer: 13, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2154, -0.2, 2.6, 2, 3\/2, -0.5 in increasing order.\nAnswer: -0.5, -0.2, 3\/2, 2, 2.6, 2154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -62) + -1 + 0 + (15 - 21) + -8?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*q = -69*q - 4*h - 8, -3*h = -4*q - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 35 = 8*d. What is the units digit of (-363)\/(-21) + (-2)\/d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p + 89*p - 761 = -125 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -772 + 766.89. Let l = o - -5.10574. Round l to four decimal places.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34319, 34284, 34239, 34178, 34095?\n\"Answer: -q**3 + q**2 - 31*q + 34350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**8\/168 - o**7\/105 - o**6\/2 - 62*o**2 + 8*o + 2. Let v(q) = 0. Calculate q.\nAnswer: -5, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 + 48. Let a = 0.3 + -0.2. Let j = a - 0.3. Which is smaller: g or j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 5, 6\/11, 51, -1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 126*m - 125*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1499 + 1509. Solve -j*x = -22 - 48 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 3:02 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30659234*r**4 + 21659793*r**2 wrt r.\nAnswer: 735821616*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qmqm when four letters picked without replacement from qmqqqmqmmqq?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -24886, -24911, -24936, -24961, -24986?\n\"Answer: -25*k - 24861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2936*x - 15050. What is a(-5)?\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -7*r**3 - 43*r**2 - 9*r - 13. Determine y(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -371 divided by 514417\nAnswer: -371\/514417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 12*q + 5*q)*(0 - 3 + 1 + (2 - 4 + 1)*(0 + 1 - 2) - 1 + 4 - 4 + 4 - 1 - 1 + 244 - 112 - 112).\nAnswer: 340*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - a - 48. Suppose -18*j + 19*j = -t - 3, -3*t = -3*j - 21. Let n = j - a. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -29. Let o(h) = -h**3 + 4*h**2 + h - 2. What is the remainder when o(-3) is divided by -6*(a\/(-12) + -2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (102\/595)\/((-12)\/(-126))\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**3*v**2 - 270826*a*v**2 - 1080169*v**2 wrt a.\nAnswer: -3*a**2*v**2 - 270826*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 0*l + 5*l)*(-2 + 0 + 1 + (4 - 4 - 2)*(0 - 4 + 0) + 5 - 3 + 0) + 2*l - 4*l - l.\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 0, n - 3 = -5*y + 2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + x. Let p be 1\/2*(x + 0). Suppose m + 20 = 2*u, p*m - m = -2. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 17*q - 22. Let y be c(18). Let m = -5 + 9. Suppose 0 = 7*g - 3 - m. Sort y, 3, g.\nAnswer: y, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1591 - 6903. Let d = n + 84909\/16. What is the common denominator of 41\/9 and d?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b - 104*b**3 + 8*b - 20*b**3.\nAnswer: -124*b**3 + 19*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 159\/((-14)\/(-14)*1)*3\/9?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.2, 0, -0.296, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 218*a - 3922. What is s(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Suppose 7*q + q = 736. Suppose q + 133 = 5*d. What is the units digit of (5\/3 - 1)\/(d\/13635)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.123915737 * -1.\nAnswer: 0.123915737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**4\/78 + 7*y**3\/13 - 108*y**2\/13 + 785*y. Determine t, given that i(t) = 0.\nAnswer: 9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 10*f + 26. What is the tens digit of o(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 7. Let r be k\/(-30)*(-1 + -1). Which is the nearest to 1\/3? (a) 1 (b) 0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3253310 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32376 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 1:11 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 - 289 = -7*j. What are the prime factors of j?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10027.110026 + -10028.11. Let j = 0.76 - -0.24. Let u = d + j. Round u to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + f - 1. Suppose 0 = 2*m - 2*t + 7*t - 3, -2 = 2*t. Suppose m = -2*z + 2. Let q(k) = -3*k**2 - k + 1. What is z*q(o) - y(o)?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 750*a + 6055. Let h be s(-8). Let p(i) = -i**3 - 5*i**2 + 6*i - 4. Let r be p(-6). Put r, h, -5, 0 in descending order.\nAnswer: 0, r, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.75 + -13.05. Let t = d + 13.9. Is t >= -0.072?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 38341, 76676, 115013, 153352, 191693, 230036, 268381?\n\"Answer: q**2 + 38332*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**3 - 3*m**3 - m**3 + (6 - 4 + 0)*(-m**3 + 0*m**3 - m**3) - m**3 + 7*m**3 - 2*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-11778)\/19630)\/((6\/(-7))\/(915\/63 + -5))\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -11*o + 6. Let z = -2 - 2. Let x(i) = 6*i - 3. Let d(v) = z*q(v) - 7*x(v). What is the first derivative of d(b) wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -8\/17?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.017 - 0.097.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*d - 29 - 8*d + 2 as q*d + x and give x.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**7\/2100 - o**6\/300 - o**5\/200 - 278*o**2. Determine j so that k(j) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 32*b**2 + 71*b - 9. Give i(-34).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 + 11*p**3 + 8*p**3 + 44*p**2 - 5*p**3 + 27*p + 7*p.\nAnswer: 2*(p + 1)*(p + 2)*(7*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 429468 or 429469?\nAnswer: 429468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5988007 to the power of 1\/2, to the nearest integer?\nAnswer: 2447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2222, 2209, 2196, 2183?\n\"Answer: -13*t + 2235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 4*x + 6. Let h(y) = -3*y**2 + 8*y - 13. Let p(j) = 6*h(j) + 13*k(j). Find the second derivative of p(b) wrt b.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-16)\/28)\/(14\/7)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h**2 - 128 - 17*h**2 + 128 + 26*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -48*f - 1146. What is u(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1847, -7212, -16143, -28634, -44679, -64272, -87407, -114078?\n\"Answer: i**3 - 1789*i**2 - 5*i - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -651 divided by -7.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 9*y**2 + 7*y - 2. Let r be l(-10). Suppose -4*g - 22 = -106. What is the greatest common factor of g and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwpwwwwpwpwrw. What is prob of sequence wr?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0 = -5*s + 5, 4*s = -3*m + 3. Let k be 3\/s + (-35)\/(-1). Let d be (1 - k\/10) + 2. Does d = 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.9334813 rounded to one decimal place?\nAnswer: 12.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -386 + 643. What are the prime factors of w?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.5322 less than 11\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 36*c**3 + 3 + 5 + 10.\nAnswer: 36*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 11:04 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -22652408 divided by 568\nAnswer: -39881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2871 - -2943. Is 15 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125719247645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1544, -3033, -4510, -5969, -7404, -8809, -10178?\nAnswer: -11505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**3 - 2*c**2 - 4. Let a = 16 + -5. Let x(b) be the third derivative of -3*b**6\/40 - b**5\/12 - 11*b**3\/6 + 3607*b**2. What is a*j(s) - 4*x(s)?\nAnswer: 3*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2621833380, 2621833383, 2621833388, 2621833395, 2621833404, 2621833415?\nAnswer: 2621833428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 16 = 0, 14 = 4*q - 2*q + 4*p. Let b(n) = -13*n. Let w be b(q). Suppose 2 = 5*m - w. Solve -j = 2*v + m - 13, -12 = -3*v for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1816 + 1819. Let m(z) = -2*z - 7. Let t be m(-6). Put i, t, 2 in ascending order.\nAnswer: 2, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46021*n**4 - 36690*n wrt n?\nAnswer: -552252*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*q - 135 = 27*q - 32*q. Let f be -3*(60\/(-9))\/4. Suppose 0 = 4*i - 5*m + 3*m - 10, f*i = 2*m + 11. Sort i, q, 2, 5 in increasing order.\nAnswer: i, 2, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -13. Which is the biggest value? (a) 1 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in six fifths of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 10) to base 12\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3.1, 18, 10\/9 in increasing order.\nAnswer: 10\/9, 3.1, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 7*l**2 - l - 3. Give r(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/169576 and -83\/23124.\nAnswer: 508728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 4, 0, -1, 25 in decreasing order.\nAnswer: 25, 4, 0, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59.8881415051 + 0.1118613949. Let c = -13.1 + 73.1. Let d = i - c. What is d rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/7)*y)\/y**(-3)*(y\/y**(-2\/11))\/(y*y*y**(3\/8)) assuming y is positive.\nAnswer: y**(1905\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/4 - (-22421)\/(-2516). Let k be ((-879)\/204 + 1)*(-352)\/(-132). Let t = c - k. Which is bigger: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 2*j - 4. Suppose 2*l - 2*d = -3*l + 30, 0 = -3*l + 5*d + 37. Let u(c) = -c - l + c + 0*c - 4*c + c**2. What is u(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyeyeyyyyyyeeey. What is prob of picking 2 e?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27049 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41202410 (base 5) in base 15?\nAnswer: 692a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09*22392.\nAnswer: -2015.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.395975s?\nAnswer: 395975000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2272\/9 - 252. Sort o, 0.2, 0.3 in descending order.\nAnswer: o, 0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 - 39. Let l(z) = 9 - z + k*z - 8. Let g(n) = -2*n. Calculate l(g(h)).\nAnswer: -4*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2595*o**2 - 2075*o**2 + 3915*o**2 + 7*o wrt o?\nAnswer: -1510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45412403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -34. Does 16 divide (-5)\/(-5)*(43 - l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 11*s**2 - s + 26. Give j(5).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 1 + -2)\/(((-2975)\/10)\/35).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g - 2*g + 4*g + (-3 - 1 + 0)*(5 - 5 - g))*(37*g**2 + 175 - 175).\nAnswer: 74*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1.8. Let t = -1.7 + 2. Let d = t - y. Is d equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445255349?\nAnswer: 7, 11, 587, 9851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 - -0.77. Round y to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0352375772 to four decimal places.\nAnswer: 0.0352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 603884 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6113.\nAnswer: 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 divided by 27.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59858493 by -2.\nAnswer: 59858493\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -118198 divided by -523?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-2*sqrt(104) + sqrt(104))*6 - (sqrt(104) - -1*sqrt(104))*6)*4)\/(-6*(-5*sqrt(80)*-1)\/sqrt(10)))**2.\nAnswer: 1872\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 312399 and 124690.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thho when four letters picked without replacement from thohohotohohooh?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3\/7 (b) 0.3 (c) 243 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + p + (p - p + 2*p)*(-3 + 4 - 3) + 4*p - 4*p - p - 320*p - 22*p - 55*p - 199*p.\nAnswer: -600*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 6*g**2 - g + 6. Let x be w(6). Suppose 2*t = 4*y + 54, -3*y + 3*t - 66 = 2*y. Let k = y - -19. Solve -f - k*f + 20 = x for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 201, 462, 839, 1338, 1965?\nAnswer: 2726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 293*v - 308*v = 477, 0 = 4*u + 8*v + 252 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001221 to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/24304 and -53\/72.\nAnswer: 218736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -31*h**6\/120 - 67*h**5\/60 - 26*h**2. What is the third derivative of i(o) wrt o?\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10758 + -2742. Round q to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 9*t**2 - 4*t**2 - 5*t**2 in the form u*t**2 + f*t + h and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 6*y - 15.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 7, 1\/5, 1235, -2\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 4:06 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + 4.9. Let w = -8 + b. What is the biggest value in -6\/11, w, -5?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.252735567 to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -124470000 to the nearest 1000000.\nAnswer: -124000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(220)\/sqrt(5))\/sqrt(4) + -4 + sqrt(396) - ((sqrt(66) + sqrt(66)*-4 - sqrt(66))\/sqrt(6) + (sqrt(110)*-2 + sqrt(110))\/sqrt(10))).\nAnswer: -60*sqrt(11) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -10, 13, 44, 83, 130?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 0.7, -3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -178, 5\/3, -0.21, -3, -8 in increasing order.\nAnswer: -178, -8, -3, -0.21, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 677244?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f - 27. Suppose 7*q = -8*q - 270. List the prime factors of s(q).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6179 equal to 312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9097 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/36)\/((-4)\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-126)*3\/(-2))\/(5\/(-160)*-10)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-nine halves of a tonne?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -j - 2*c - 2*c, -3*j - c + 6 = 0. Solve -j*q = -2*k, -2*k + 4*k = -2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -9 + 21*1240\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-10) + (-96)\/20. Let y be (a\/14)\/((-4)\/56). Solve -7 = -s - q - 6, -y*q + 12 = -4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 58*m + 708. Give a(-13).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 181, 182, 185, 190, 197, 206, 217?\n\"Answer: w**2 - 2*w + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*o + 27*o - 3090 - 10846 = -71*o for o.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 5, -329?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1. Let p = -27 + 18. Let l = -13800 + 13801. Which is the nearest to p? (a) -3 (b) x (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxnxyxynxnxnxxnxxnxy. Give prob of picking 1 x and 1 n.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 10:00 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2212, 2194, 2180, 2170, 2164, 2162?\nAnswer: 2164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15907 - 10134. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 3*n + 4*n)*(-n - 3*n + 8*n)*(n - 1 + 1 - 1).\nAnswer: 4*n**3 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1424\/144*-1 + (-16)\/(-18).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 2*p**2 - 617*p + 2. Let f(j) = 5*j**3 - 9*j**2 + 2468*j - 9. Determine -4*f(o) - 18*h(o).\nAnswer: -2*o**3 + 1234*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 6*d**2 + 7*d - 2. Let q be j(-7). Let u = q - -5. Suppose 0 = -2*y + x + 191, u*x + 281 = 3*y + 7*x. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104273 is divided by 509?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(-1\/4)*v\/(v\/v**(-2)))\/((((v\/(v\/(v**5*v)))\/v*v)\/v)\/(v\/(v**(-2)*v)*v)))**(2\/5) assuming v is positive.\nAnswer: v**(-7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**4\/12 - u**2. Let h(v) = -75*v - 64*v + 155*v - 45*v. Determine h(w(m)).\nAnswer: 58*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 4*m + 32, 5*m = -5*r - 58 + 23 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-5*(5 + (sqrt(2057) + 2)*4))**2 + 1.\nAnswer: 715000*sqrt(17) + 20675626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.284? (a) 4\/5 (b) -10 (c) 1\/5 (d) 5 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -284*m + 1145. What is z(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2240 - 1533. What is the lowest common multiple of n and 56?\nAnswer: 5656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7817633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t**2 + 0*t**2 + 3*t**2)*(t**2 - t**2 + t**2) + 2*t - 33*t**4 + 287 - 288 + t**3 - 6*t**2 + 40*t**4 to b*t + c + v*t**4 + q*t**3 + l*t**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001111010101 (base 2) in base 8?\nAnswer: -11725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*z - 5922 = -61*z. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(-5)\/10 - 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*s + 78 = -7, -6 = -3*s. Suppose 87*p = t*p - 20. Find the third derivative of 17*b**2 - 22*b**p + 2*b**5 + b**2 wrt b.\nAnswer: -1200*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 4 + 1 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03536 to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6015, 1, -4, -27, 4, -5, 0 in increasing order.\nAnswer: -27, -5, -4, 0, 1, 4, 6015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 85134 - -131836?\nAnswer: 216970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3\/2 + 7815*q**2\/2 + 141885*q\/2 + 640305\/2.\nAnswer: -5*(q - 1581)*(q + 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*k - 107. Let w(y) = -9 + k*y - 19*y + 8*y**2. Is w(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y be 33 + (0 - 3) - (2 + 1). Suppose -y + 149*k**4 - 24*k**3 - 66*k**2 - 304*k**4 + 152*k**4 - 72*k = 0. What is k?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -2, 20, 63.1, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h + 28. Let b be x(-8). Suppose 0 = b*a - 14*a - 570. List the prime factors of a.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -98577*r**3 - 77948*r wrt r.\nAnswer: -591462*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283702868?\nAnswer: 2, 17, 4172101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*v**3 - 12*v**2 - 3*v**2 + v**2 + 22*v**2 + 17*v**2 - 3*v**2.\nAnswer: 15*v**3 + 22*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -236*y**3 + y**2 - 591*y + 316527 wrt y?\nAnswer: -708*y**2 + 2*y - 591","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 19*u**5\/10 - 29*u**4\/12 - 58*u. What is the third derivative of i(b) wrt b?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1100) + 0) + 1 + -1*sqrt(1100) - -6*sqrt(1100)*-1*1)**2.\nAnswer: -260*sqrt(11) + 185901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 4*y - 505, 2*s - 3*s + 101 = 5*y. Let k = s + -64. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2015 and 455?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11675442?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94615 and 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k = 31536 - 31284 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352661.\nAnswer: 352661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000593 rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**5\/7 + 148*y**4\/7 + 950*y**3\/7 + 824*y**2\/7 - 1920*y\/7 = 0.\nAnswer: -4, -3, 0, 1, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115926 divided by -1.\nAnswer: -115926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 1321978?\nAnswer: -5287912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4192917392.\nAnswer: 2, 262057337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*i + 2*i + 2*y, 4*i - y - 5 = 0. Let j(p) be the first derivative of -2\/3*p**3 + i*p - 1 - 3\/2*p**2. What is the second derivative of j(t) wrt t?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d + 13*d**2 + 14*d + d**2 wrt d?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -2*t + 24. Let u be -3 + (4 - t) + (-18)\/(-5). Which is the second biggest value? (a) -4 (b) u (c) -0.3 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(220) - (4*sqrt(220) + sqrt(220) + sqrt(220) - sqrt(220))) + sqrt(220))\/sqrt(11)*3)\/(sqrt(144)*-2 + sqrt(256)*1 + sqrt(256)).\nAnswer: -9*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 3 - -2)*-16. Let m = -19 + 21. Let s(x) = 0*x**2 - m*x**2 + x**2 - 7*x**3 - 4*x**2. Let v(a) = -22*a**3 - 16*a**2. Calculate p*s(c) - 5*v(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13216, 26767, 40318, 53869?\n\"Answer: 13551*k - 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or -181014?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 602 - 1575*w**3 + 791*w**3 + 2*w**2 + 15*w**4 - 17*w**4 + 785*w**3 in the form s*w**4 + d*w**2 + b*w + f*w**3 + y and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ex when two letters picked without replacement from {e: 2, x: 2, f: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**11\/166320 + s**9\/30240 - s**5\/4 - 7*s**2. Let b(q) be the third derivative of f(q). Solve b(l) = 0 for l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/8522198 and -41\/4.\nAnswer: 17044396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w - 16 = -2*w. Sort w, -3, 2\/17 in decreasing order.\nAnswer: 2\/17, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) 29\/4925 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2690*y = -54965 + 9235 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37006161\/308 - 120150. Calculate the common denominator of f and 53\/44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 15*c**2 - c. Let s = 14350 - 14335. Give v(s).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 29*z**2 + 47*z - 33. Determine n(1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -143666 by -4.\nAnswer: 71833\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8235, -6721, -2627, 5331, 18437, 37975, 65229?\n\"Answer: 214*s**3 + 6*s**2 - 2*s - 8453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.15 - -0.03. Let t = l - -10.82. Let f = -6 + t. Which is the second biggest value? (a) 3 (b) 0.5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1787242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*y + 14 = -22 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7829 is divided by 2439.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*p**3 + 24*p**3 - 55*p**3 + 136*p.\nAnswer: 2*p**3 + 136*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 371 + 1246?\nAnswer: 1637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 6699*r - 6698.\nAnswer: -(r + 1)*(r + 6698)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 132 - 27 + 3*h.\nAnswer: 2*h + 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6*d + 3. Suppose -x + 72 = 5*x. Let n(g) = -2*g + x*g - 6*g - 2*g. Determine t(n(v)).\nAnswer: -12*v + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 10121120?\nAnswer: -10121202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/10 in -0.11, -2\/13, -5\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -3149770712 and -0.4.\nAnswer: -3149770712.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.075 and 2.610136.\nAnswer: 2.685136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1a263 (base 11) to base 7\nAnswer: 145253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dadaedp. What is prob of picking 2 d, 1 a, and 1 e?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -137975 + 217942. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 - 198921?\nAnswer: -198929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82158 divided by 6430.\nAnswer: -41079\/3215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 1 - -3) + 115\/(-46)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y + 2. Let w(x) = -x - 1. Let o(f) = -m(f) - 3*w(f). Let k be o(4). Let v = 21\/2 - 10. Which is the smallest value? (a) v (b) -4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 14 = 10*t, -3*t - 4*k + 1 = 20 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 9, d: 3}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001012511 rounded to six decimal places?\nAnswer: 0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 smaller than -7245301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, y: 7}. Give prob of sequence cyy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 6656.\nAnswer: 33280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 (base 13) in base 6?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**3 + 2*c**2 - 3*c + 5. Let i(z) = -2*z**3 - 2*z**2 + 2*z - 4. Let s(p) = -1344*p - 5. Let h be s(0). Let o = -1 + -3. Determine h*i(w) + o*a(w).\nAnswer: -2*w**3 + 2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5019.7 - -4693. Let s = y - -326. Which is the smallest value? (a) -1\/3 (b) -5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 6) + (-6 - -10) + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-90)\/32 + (0 - 1) and 45\/54*51\/(-40)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -323, -1344, -3569, -7598, -14031, -23468, -36509, -53754?\nAnswer: -75803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/((-4920)\/90*3\/24)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - b = -6, 2*b - 8 = -140*m + 136*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -9*q. Let t(b) be the third derivative of -5*b**4\/24 - b**2. Let w(g) = -11*t(g) + 6*v(g). Let o(n) = 5*n. What is 2*o(s) - 9*w(s)?\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-6 - -15) - 5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 8, -2*u - 144 = -4*w + 2*u. Let t be 6036\/120 - (-6)\/(-20). Let f = t + w. Calculate the highest common factor of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3f8 (base 16) to base 5\nAnswer: -13031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 17.82189 kilograms?\nAnswer: 0.01782189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/(-1) - 10580621\/(-547). What is the greatest common divisor of q and 342?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/5, -0.3, 188, -1, 1.4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**4\/24 + v**3\/3 + v**2. Suppose -14 = 2*m - 6. Let l be k(m). Sort 4, l, 3 in increasing order.\nAnswer: l, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**2 + 40*b**3 - 3*b**3 - 34*b**3 - 44*b**4 + 4*b**2 + 4*b in the form f*b**2 + i*b + w*b**4 + h*b**3 + p and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010010 - 1011100101000001101000?\nAnswer: -1011100101000010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/5 - (-4)\/(-5). Suppose -4*d = -q*j - 12, j + 13 = -2*j + 5*d. What is the least common multiple of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllplpp. What is prob of picking 2 l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 0*f**7 - 6*f**2 + 0 + 0*f**4 - 13\/336*f**8 + 0*f**6 + 0*f - 2\/15*f**5 + 0*f**3. Find the third derivative of t(k) wrt k.\nAnswer: -780*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91 (base 15) to base 3\nAnswer: 12001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 438 and 2598?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1162)\/(-936) + -1 - ((-29)\/(-145) - (-31)\/1395).\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s**2 + 4567*s - 448365. Determine p(88).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 3*b + 14 = 2*p, -2*b - 4*p + 22 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-5\/6)*o*o**9*o**(-2\/17)\/(o\/(o\/((o\/(o*o**2*o*o*o))\/o))*o*o) assuming o is positive.\nAnswer: o**(1603\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and (12\/21)\/((-3)\/(-21))?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -7. Let k(v) = -v**3 + 14*v**2 + 7*v - 14. Let s be k(10). Let n = -466 + s. Is t < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_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: Suppose -690*s + 18272 = -119*s. Calculate the remainder when s is divided by (1\/(-1))\/(2\/(-26)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 less than 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**2 - 10*n = 0?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*y**2 - 1840*y - 528.\nAnswer: 4*(y - 66)*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*p, -3*r - 3*p + p = -5. Let x = -0.08 + -2.92. Which is the second biggest value? (a) r (b) 4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**3*z*z)**(-4\/23)\/((z**(-3)*z)\/z)**50)**(-3\/2) assuming z is positive.\nAnswer: z**(-5145\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*v**4 + 3*v**3 - v**2 - 156*v + 16.\nAnswer: -72*v**2 + 18*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-30)\/(-40))\/(36\/96). Solve 0 = -l + f*l + 5*z + 21, -4*z = l + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.71 to zero dps.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(5*sqrt(209) + sqrt(209)))\/(-3*sqrt(539)))**2.\nAnswer: 684\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t - 16*t - 6 = 0, g - 18*t - 20 = 9 + 13 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2081484 and 152?\nAnswer: 79096392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9927 = 839*q + 110*q + 2335 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139, -151, -175, -217, -283, -379, -511, -685?\nAnswer: -907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 64*z**2. Let x(p) = 19*p**2. Give x(o(l)).\nAnswer: 77824*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*a**5 - 13*a**5 - 15*a**5 + (-3*a**2 + 3*a**2 - 3*a**4)*(-a + 5*a - a).\nAnswer: -44*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 7*t**2 + 2. Suppose 4 = 2*z - 10. Let h be g(z). Solve 2*q - 15 = 5*o, 4*o + h*q + 4 - 10 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 285*z**5 + 41331*z**4 + 201225*z**3 + 121353*z**2 - 356634*z - 7560 = 0?\nAnswer: -140, -3, -2\/95, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*x - 3313, -1030 - 974 = -3*x + 3*b. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/18775 and -88\/384915.\nAnswer: 1445355825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5402900994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1860 and 1401720.\nAnswer: 43453320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7964463?\nAnswer: 3, 13, 23, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -787*w + 14166. Give k(18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 7*i = -9*i + 1, 0 = -2*c - 5*i - 20. Is 0.9 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-5)*(-2 - 18). Let f be ((-12)\/r)\/(6\/(-8)). Let q = 13 - 8. Solve -q*k - 4 = f*z + 1, -4*z - 4*k + 8 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n = 3*m - 16*n + 3849015, 0 = m - 2*n + 1283006. Round m to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d = 78*d + 4*d - 360 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**6\/3 + 8*h**5\/5 - 19*h**4\/2 + 28*h**3\/3 - 611. Factor v(i).\nAnswer: 2*i**2*(i - 2)*(i - 1)*(i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4472\/24596)\/(12\/(-110))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3228 = 395*a + 665 - 1782 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.18 times 36\nAnswer: -6.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k. Let n(m) be the first derivative of -m**2\/2 - m + 7. Let o(h) = -5*h - 6. Let v(w) = -6*n(w) + o(w). What is v(f(a))?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 133.999674 + -134. What is l rounded to 5 decimal places?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3*j**2\/4 - 14448735*j + 69588647700075 = 0.\nAnswer: 9632490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 62 (b) 5 (c) -13 (d) -0.4 (e) -1\/4 (f) -4 (g) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bd when two letters picked without replacement from {b: 5, s: 2, q: 1, d: 2, a: 4}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, m: 1, h: 5, y: 7}. What is prob of picking 1 p, 1 h, and 1 y?\nAnswer: 175\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*u + 129*u - 209 = 0. Let x be u\/76 + (-1)\/(-4). Suppose x*m - 3*y = m - 170, -m + y = 83. Round m to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5b8 + 1?\nAnswer: -5b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*((-18)\/189 - 156\/(-315)). What is the closest to k in 1.9, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s - 5*s - 5*s - 12*s to z*s + w and give z.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1478, 2935, 4368, 5765, 7114, 8403, 9620?\n\"Answer: -2*x**3 + 1471*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i - 10. Let k be o(12). Let m(w) be the second derivative of 2*w**2 + 0 - 1\/20*w**5 + 0*w**3 - 5\/12*w**4 - k*w. Determine m(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 2*l + 84, -5*d - 28 = -2*l - 244. Put -5, d, 3 in ascending order.\nAnswer: -5, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 2. Let p be o\/5 + 36\/15. Suppose 0*q + 44 = 2*u + p*q, 13 = u + 4*q. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/2898 and 59\/276?\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2804 times -20879?\nAnswer: 58544716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 441697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4657 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -56210 divided by -11\nAnswer: 5110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1483744 divided by -4?\nAnswer: -370936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4.7 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 969279 to the nearest 1000.\nAnswer: 969000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 367263430 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2, -1, -5, 0 in increasing order.\nAnswer: -5, -2, -1, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87437.\nAnswer: 7, 12491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express w**3 + 0*w**2 + 0*w**2 + (5*w + 2*w - w)*(-2*w**2 + 18*w**2 + 25*w**2) in the form a*w**3 + t + h*w + o*w**2 and give a.\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8.479832kg?\nAnswer: 8479832000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/116 and -21\/32?\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 y when two letters picked without replacement from {s: 2, z: 1, y: 3, q: 4, m: 4, k: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1588.356 - -1148567\nAnswer: 1146978.644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/(((f\/(f*f\/(f*f**(-2))))\/f)\/f))*f**(2\/13)*(f**(2\/5)\/f)\/((f*(f\/(f**(2\/11)\/f))\/f*f*f)\/f) assuming f is positive.\nAnswer: f**(-5194\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 914119.1t in milligrams?\nAnswer: 914119100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2607 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/1140 and 13\/19298205.\nAnswer: 77192820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 291623 and 4?\nAnswer: 1166492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventeen quarters of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 2*r + 1. Let c be j(0). Let w(y) = -2*y**3 - 3*y**2 - 2*y - 1. Let z be w(-2). Calculate the highest common factor of c and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352143834?\nAnswer: 2, 3, 7, 19, 41, 47, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -3, 67390.9, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)\/sqrt(72))\/(-2*sqrt(16)\/sqrt(2)).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/7, 5315, -3\/2, -0.23?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/452649, -2, -0.1, -0.3 in increasing order.\nAnswer: -2, -0.3, -0.1, 8\/452649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -117 - -120. Solve n + 2 = 5, -12 = -r*m + n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) -7 (c) -8 (d) 0.2 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5197407?\nAnswer: 3, 1732469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3\/8 (b) 412 (c) 15 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/149925, -0.2, 39?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5799 is divided by 232?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1802)\/(-425) - 414\/1725.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 703919501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -117*n**2. Let r(b) = -3*b. Let o(l) = 3*l**2 - 6*l. Let v(d) = o(d) - 2*r(d). Calculate c(v(a)).\nAnswer: -1053*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**3\/5 - 12*f**2\/5 - 33*f\/5 + 18 = 0. What is f?\nAnswer: -3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-5))\/(3\/10). Let r(w) = -4*w - 15. Let i be r(-12). Let g = -32 + i. Sort g, -1, t.\nAnswer: t, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 16. Sort y, 5, -1\/3 in ascending order.\nAnswer: y, -1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 462?\nAnswer: 5\/462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 139457849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - 2 - 5\/(-10)*8. Suppose 144 = 3*n + z*q - 5*q, -119 = -3*n - 2*q. What is the remainder when n is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-3 + (-4)\/2). Let d = m + 6. Which is greater: -2\/5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4997995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57942?\nAnswer: 2, 3, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 14 = -4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 323. Let j(o) = 3*o. What is j(z(u))?\nAnswer: -3*u + 969","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (0 + -4 + 4 + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41418 + -0.5.\nAnswer: -41418.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3802148)\/(-126)*45\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -24, 568, -20, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 13. Let w = -8 - y. Do -1 and w have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 2*m + 27 - 38, 0 = -5*j - 3*m + 19. Let z = -2 + 5. Solve -4*f = -3*f + j*s - 17, z*f - 2*s = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 397\/11799?\nAnswer: 397\/11799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + v**2 - 9)*(-v + 0*v + 3*v)*(12 - 12 - 32).\nAnswer: -64*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from {x: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10285*o + 846 = -10426*o. Let g(l) be the second derivative of l**3\/3 - 3*l**2 + 2*l. Give g(o).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 30 = 7*b. Suppose 4*y - 14 + b = 0. Suppose -2*m - k + 11 = 0, -y*m - 17 = -m - 4*k. Solve 0 = 4*c + c - v - 5, m*v = 5*c - 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4291.\nAnswer: 7, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -340357 (base 8) in base 6?\nAnswer: -2244023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-35)\/o)**(4\/5) assuming o is positive.\nAnswer: o**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 4*a**2 + 8*a - 10. Let v(b) = -b**2 - 5*b - 10. Let r be v(-4). What is the remainder when 37 is divided by t(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5*w**2 + 25*w + 21. Let h(l) = 11*l**2 - 51*l - 43. Let v(i) = 13*a(i) + 6*h(i). Let x be v(-19). Let j(g) = -g + 24. Is j(x) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 322\/11, 1\/9, -2\/7?\nAnswer: 322\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1019 is divided by 102?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1685846 (base 10) in base 16?\nAnswer: -19b956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-184)\/188 + 3\/(-141)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35485785 and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*m - 5*m, 4*a - 165 = 3*m. Let v = a - 16. What is the remainder when 100 is divided by v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11\/(231\/(-120)) - -5. Which is the third smallest value? (a) 0.4 (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58 + 2)\/(-68 - -70).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 70 = 3*i. Let u be 1*-2*(-35)\/i. Suppose m - 40 = -u. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 275 and 1096975.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -3373844, 0, 4 in increasing order.\nAnswer: -3373844, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) -3 (c) 4 (d) 0.1 (e) 0 (f) 9\/7367\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 6*f**3 + 2*f + f**4 + 3*f**4 - 6*f**4 + f**3 as a*f**2 + c + q*f**3 + p*f + n*f**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 45409, 90816, 136223?\n\"Answer: 45407*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**2 + 13*y**2 - 11*y**2 + (-1 + y + 1)*(5*y - y - 2*y) - 3*y + 3*y + 2*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 4995572.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 4*p + 3. Let z(o) = -o**3 - 7*o**2 - o - 8. Let l be z(-7). Let g be (-3)\/(-6)*l*-12. Determine d(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n**6 - 924366*n**3*t**3 + 6*n**3 - 68*n**2*t**3 - 2*n**2*t + 343*n*t**3 - 2*n*t**2 - 2*t**2 - 8*t wrt n?\nAnswer: -240*n**3 - 5546196*t**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*j**5 - 2\/5*j**2 + 0 + 2\/5*j**4 + 0*j**3 - 1\/5*j.\nAnswer: j*(j - 1)*(j + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -217998.\nAnswer: 1\/217998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5223 - -4666. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29013344?\nAnswer: 2, 211, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -98\/9 (b) -0.05 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 45600*l**3 + l + 5. Let f = -15 - -10. Let h be n(f). What is h rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24716359*p**4 + 19472398 wrt p?\nAnswer: 98865436*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 232 - 375 = -5*y, 5*x = -3*y + 349. Let z = y - 233. What is the units digit of z\/(-4) - (-6)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*d + 78 + 252. Let h = 15 + d. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 9*f**2 + 10*f + 10. Let c be j(-8). Suppose 0 = -8*q + c + 686. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 25*b - 116. Let i be f(4). Solve i = -40*q + 16*q + 120 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011110001100001110 (base 2) to base 9.\nAnswer: 647203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.65 + 190.206.\nAnswer: 188.556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*w + 16*w = 3154 - 26954. Calculate the remainder when w is divided by 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 - 13013402?\nAnswer: -13013312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1488568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 13) to base 14\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -30, 16, -5, -28, -3 in ascending order.\nAnswer: -30, -28, -5, -3, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3286.071 rounded to the nearest one hundred?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 9*y - 17. Let n be c(-10). Let d = n + 71. Find the third derivative of 6*o**3 - d*o**2 + 4*o**3 + 12*o**3 wrt o.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 366.6 - 344. Let c = 22.9 - i. What is the nearest to 1\/5 in c, -0.03, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 937174 by 146.\nAnswer: 6419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1163750, 0.5, 0.195.\nAnswer: 0.195, 0.5, 1163750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7bd2d8 (base 14) in base 6?\nAnswer: -230305410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10582255601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 p when three letters picked without replacement from {p: 5, v: 3, k: 3, y: 6}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 15*f = 3681. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q**0)**(-3\/8))**(3\/2) assuming q is positive.\nAnswer: q**(-27\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*y = 5*m - 4670, 0 = 5*m + y - 4688. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3))**(10\/3)*(m**13\/m)\/m**(3\/11))**(-1\/47) assuming m is positive.\nAnswer: m**(-19\/517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -464 = -9*v - 500 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17661, -17694, -17727, -17760, -17793?\nAnswer: -17826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p - 36*p - 20*p - 11*p + 4*p - 7. Let k(m) = -39*m - 5. Give 5*a(n) - 7*k(n).\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61415550 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-6)*2\/(-6)*-3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*x - 5*x. Let d be (-12)\/9 - (7 + -8). Which is the nearest to -2? (a) 0 (b) x (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s = 4*s - 10*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26b (base 16) in base 14?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52180 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20.37 - 0.37. Let j = -23 + u. What is the second smallest value in j, 2\/3, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d = -16*d - 6924. Suppose 8*t - d = -370. Calculate the highest common divisor of t and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-46613)\/777 - -60)*2\/(-2).\nAnswer: -1\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 90*f**3 + 5*f - 1188 wrt f.\nAnswer: 540*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgmg when four letters picked without replacement from ggmgggggmggmgmggmm.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millimeter in micrometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(4) + 1 + 4 + -5 + -5)**2.\nAnswer: -10*sqrt(11) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 270474 to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-340)\/8670*(-3)\/(-1).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (205\/(-82))\/(1\/(-14))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 1. Let t be x(-1). Suppose 2*c - 378 + 20 = t. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by 26096.\nAnswer: -19\/26096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164, 385, 604, 821, 1036?\nAnswer: 1249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -t**4\/4 + t**3\/3 + 223. Let b(m) = -7*m**3 + 2*m**2 + m. Give -2*b(g) + 4*o(g).\nAnswer: 10*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4375 - 61842?\nAnswer: -65bb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 7*n + 3\/2*n**2 + 9. What is f(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbikibyibqqqbqibabi. What is prob of sequence iyqa?\nAnswer: 5\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 548*b*q**2 + 2*b*q + 3482483*b - 50*q**2 - 2*q wrt q?\nAnswer: 1096*b*q + 2*b - 100*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113921337?\nAnswer: 3, 421, 90199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/(-6) - (-16)\/(608\/104443) is divided by 125.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8358740 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o**2 - o**2 - 6*o**2 + o**2.\nAnswer: -17*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4298*m - 120068. Calculate q(28).\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 2*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.1 - -3.1. Let i = -1.1 + s. Which is bigger: i or -2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 85 - 80. Suppose -354 = -4*r + 2*m, -j*r - 6*m = -4*m - 429. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -3.79?\nAnswer: -11.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -123 (base 12) to base 5\nAnswer: -1141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-6)*h)\/(h**(8\/5)*h))\/(h*h\/((h*h**(3\/4))\/h)*h*h*h**(-5)) assuming h is positive.\nAnswer: h**(-97\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 32*y**2 + 173*y - 2409. What are the prime factors of c(13)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j = -16*j - 150. Let h = j + -26. Suppose 68 = 5*t + h*o, -2*t + 0*o = -5*o - 14. Solve 0*i + 6 = 2*m - i, -4*m = 5*i - t for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7521159 and -7521158 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n + 5*n + 13 + n.\nAnswer: n + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zte when three letters picked without replacement from geezzbeeteppt?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2612 + -1670. Let u = -436 + h. Find the common denominator of u\/(-140) + (-6)\/(-15) and 11\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74144*0.063\nAnswer: -4671.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 5. Let z be -3 + 0\/(2\/6*6). Sort 2, z, r.\nAnswer: z, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-2)\/(-30))\/(28\/7000*10)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s. Let k(o) be the second derivative of 0*o**2 + 4\/3*o**3 + 0 + o. Determine k(a(p)).\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -137304 + -2?\nAnswer: -137306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.78 + 0.18. Let p = 0.04 + s. Let w = -4.00007 + p. Round w to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/14*15\/40*2.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 72.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 m, and 1 a when four letters picked without replacement from aymmaaaammmmmy?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 - -17. Let l = s + 37. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*o - 17116 = -192*o + 81*o - 192*o for o.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*x**5 - 15\/4*x**3 + 0*x**2 + 3*x**4 + 0*x + 0.\nAnswer: 3*x**3*(x - 1)*(x + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 399 + -404. Which is the closest to -0.1? (a) -1\/9 (b) t (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yo when two letters picked without replacement from {o: 5, y: 3, a: 1}?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s + s**3 + 0*s**3 - 2*s - 6*s to the form b*s**2 + z*s + h*s**3 + t and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 6:02 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a week in minutes?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1955623.5 to the nearest ten thousand.\nAnswer: -1960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 4*w + 12, -2*w + 9 = -2*r + 3. Let o = r + 40. Is ((-30220)\/o)\/(2\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/8)\/(6\/(-2)). Which is smaller: 7\/8 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 286 and 110?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -44657873 divided by -3?\nAnswer: 44657873\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 44*s + 43*s = -5, -o = -5*s + 25 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5797)\/(-605) - 10\/55) + 8\/(-20). Solve -4*x - 17 = -q*x + 4*z, 4*x + 5*z - 30 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.101, 0.4, -3, -5?\nAnswer: -0.101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 8 - 2. Suppose -7*h = -7 - 0. Let f be (1 + h)\/((-2)\/(-3)). Solve -b*u + 13 = -4*g, g = f*u + u for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10 - -8) + 114 + 26. Suppose -5*w + 4*j + 28 = 0, -j - 2 = -0*j. Suppose 0 = w*x - y - 230. Is 36 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3096)\/(-32)*(-32)\/(-12). Suppose -2*v = 3*t - 609, 2*v - 2*t = 366 + w. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence am when two letters picked without replacement from {a: 1, p: 1, m: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**3\/3 - 7*f**2 + 17*f + 3. Let i be h(13). Let n = -24 + 170\/7. What is the nearest to n in i, -2\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**2 + 9*m + 35. Let p be s(5). Solve -2*z - 2*t = 0, 5*t = 3*z - p*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ninety-one quarters of a day?\nAnswer: 32760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -593379 by 6.\nAnswer: -197793\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyhhcphypchycchypypp. What is prob of picking 1 y and 3 p?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -100556, -3 in decreasing order.\nAnswer: -2, -3, -100556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 7:54 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/101, 5\/4, 0.0564 in ascending order.\nAnswer: -1, -2\/101, 0.0564, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 3. Let c = -1.0407 + 0.8407. What is the closest to v in -1, c, -1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**2 - 2*v + v - 2 - 646*v**3 + 1291*v**3 - 639*v**3 + 3*v as l + z*v**3 + a*v**2 + q*v and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**2 - 121666*n - 243340 = 0.\nAnswer: -2, 60835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19111 - 171329\/9. Which is smaller: q or 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -364857 divided by 37\nAnswer: -9861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-5\/6)\/s)\/(s**0\/s*s*s))**(-6)\/((s\/(s\/(s*(s**(-4)*s)\/s)))\/s**(-7)*(s*s\/(s\/(s**(-2\/19)*s*s)))\/s**(-2\/17)) assuming s is positive.\nAnswer: s**(3226\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 r when two letters picked without replacement from kekykhykrheyokkyyy?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is cd - 12?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1972.39 centimeters to nanometers.\nAnswer: 19723900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 48\/(62\/(-31) + 236\/112). What is the greatest common factor of 476 and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 626 = -79*k + 8*k + 129 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h**(-23)\/h))\/h)\/h)\/(h\/((h\/(h**(-1\/8)\/h))\/h)))\/(h*h*(h*h\/(h*h*h**(-2\/11)*h))\/h*h*(h*h**(-9))\/h) assuming h is positive.\nAnswer: h**(2723\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 42b3?\nAnswer: 42b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - (-34)\/(-4))\/(12\/32). Is ((-776)\/l)\/(3\/7)*3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2 + 30*x + 38. Let a be v(16). Put -3, 2, a in ascending order.\nAnswer: -3, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**24)**(-27) assuming o is positive.\nAnswer: o**621","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15565.\nAnswer: 5, 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**6\/120 - 29*v**4\/24 + 281*v**3\/6 - 190*v**2. What is the first derivative of g(x) wrt x?\nAnswer: 3*x**2 - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3508034 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8589 - 5120 + 5745 = 542*u for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**3 - 21*y**2 - 68*y - 30. What is the tens digit of d(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 500, 2000, 4500, 8000, 12500, 18000?\n\"Answer: 500*d**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + -4 + 2*sqrt(3)*2)**2.\nAnswer: -24*sqrt(3) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.33 smaller than -0.04065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*x = 4*d - 26*x - 2, 32*x + 10 = -2*d + 36*x for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 64, 4, -5, -204, 0 in ascending order.\nAnswer: -204, -5, 0, 4, 20, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, a: 2, i: 1, j: 1, f: 4, s: 3}. Give prob of picking 2 a and 1 s.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 14. Let n be w(3). Solve 3*r = -n - 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5750 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1b502 (base 12) to base 10\nAnswer: 40466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7714 and 99835806?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*h - 8, 0*c + 2*h + 8 = -c. Suppose 0 = -3*f + 6*y - 2*y + 29, -19 = -3*f + 2*y. Let k = f - c. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32 + 2.15047?\nAnswer: 1.83047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 18614\nAnswer: -1\/18614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*c - 6*c**2 + 24*c)*(2*c + 3*c - 7*c) + (-7*c + 81*c - 5*c)*(2*c**2 - 4*c**2 + 3*c**2).\nAnswer: 81*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 233 and 190128?\nAnswer: 190128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 + 52.7. Let j = -21 - -11. Let u = j + 10.03. Which is the third smallest value? (a) -5 (b) t (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*y + 10 + 6, -5*w - 2*y + 25 = 0. What is the derivative of -h - 4*h**3 + h**3 + h + w wrt h?\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w**3 - w**2 + 4*w + 3. Let a be d(-2). Let p(s) = -s + 18. Let f be p(14). Suppose l + 7 = 4*c + 24, -f*l + a = -c. Solve 7*r - l = 2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 144\/30)\/(-32 + (-8652)\/(-270))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 10. Suppose 4*p - 4 - 8 = i. Suppose -4*w = -p*w. Is w equal to -4\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 + (12 - (-64 - -28)) + -27 + 0\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 9*s - 3*r + 58, -r = -1. Let l = s + -7. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8989 rounded to the nearest 100?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3978635.\nAnswer: 5, 795727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 7 - 13 = 0. Suppose 0 = -0*v + v + 2. Suppose 0 = 5*c + 5*y - 20, -3*y = -6*y + 3. Put c, i, v in decreasing order.\nAnswer: c, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1802 + 1806. Solve -s*r - 3 = -5*u, r + 4*u + 5 = -1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 1)*(4*c**3 - 2*c**3 - c**3)*(3 - 10 + 4)*(3 + 3 + 0).\nAnswer: -54*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513 is divided by 431.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.154 + 0.054. What is the nearest to j in 5, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3579 or -3552?\nAnswer: -3552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 56?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 385759, 386040, 386321?\nAnswer: 386602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 167817 or 89\/2?\nAnswer: 89\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -707*k - 109. Let h(v) = 1413*v + 190. Give -4*h(y) - 7*i(y).\nAnswer: -703*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 10*g**2 + g - 12. Let h be p(-4). Let o = 25 + h. What is the greatest common factor of 30 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -1\/60*g**5 - g**2 + 0 + 0*g - 1\/24*g**4 + 0*g**3 + 1\/20*g**6. Let t be 1 + 2*-1 + 0. Calculate j(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 - 165*f + 992. Let q be v(76). Let u(a) = 2*a - 3. Let w be u(3). Solve 0 = w*y - q*y + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/9 + (9880\/36)\/13. Suppose s*o - 35*o = 0. Solve o = -4*u, 2*v - 6*v + u = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94557064 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/36)\/(-1) + ((-1010)\/(-90) - 16). What is the biggest value in t, 4\/53, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15\/2 in -2, -0.4, 0.0675, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112)*3)\/sqrt(2)*-5)\/(sqrt(24)\/(sqrt(9)\/(sqrt(12)\/sqrt(4) + sqrt(3)))))**2.\nAnswer: 1575\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/((1\/(-40))\/((-22)\/(-44))). What is the greatest common divisor of j and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2485161 and 54?\nAnswer: 4970322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 27*z**2 + 54*z - 94. Give g(25).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**5\/7 - 45*u**4\/7 + 199*u**3\/7 + 19*u**2 - 678*u\/7 + 56 = 0. Calculate u.\nAnswer: -49, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 8*k + 10. Let x(b) = -b - 1. Let y(i) = -2*o(i) - 18*x(i). Let h be y(9). Let l = 41 - 33. Calculate the highest common factor of h and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1984 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**3\/4 + 2847*m**2\/4 + 475143*m\/2 + 472290 = 0.\nAnswer: -260, -2, 1211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -358, -359, -360, -361, -362, -363?\nAnswer: -364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 3*o - o**3)*(3 - 4 + 3 - 2 + 2 - 2 + (-4 + 2 + 0)*(-1 + 2 + 1))*(7825 + 564*o**2 - 7825).\nAnswer: 2256*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.9985 - 0.9375. Let f = s - 22. What is f rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + -3)*(-15)\/2. Let b be 3*3*20\/6. Calculate the highest common factor of b and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5211835?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -732, -548, -364, -180?\n\"Answer: 184*h - 916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/1*(7 + -12). Solve 4*h - 3*i = 4, -4 = s*h - 6*i - 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 6*u + 1. Suppose 8*n - 42 = 5*n. Let p be (190\/14)\/5 + 4\/n. Is k(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -751438*o**3 + 10*o**2 + 920*o - 70569?\nAnswer: -4508628*o + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 6:48 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11, 38, 91, 176, 299?\n\"Answer: w**3 + 7*w**2 - w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19209 + -6735. Suppose 2919 = -15*w + r. List the prime factors of w.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwon when four letters picked without replacement from {w: 2, o: 3, n: 4, b: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32703.1 + 32703. What is the nearest to 8 in -2\/5, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 535714 to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m**(-6))\/m)\/(m\/m**(2\/5)))\/(m**(-3)\/((m*(m**0\/m*m)\/m)\/m)))\/((m\/m**(-2))\/(m\/(m\/((m*(m*m*(m*m**(-8))\/m)\/m)\/m))))**(-40) assuming m is positive.\nAnswer: m**(1977\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.6 + 6. What is the closest to 1 in 0.5, n, 1\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 25*m**3\/3 - 12550. Determine y(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -241 + 286. Let h be (-10)\/(-4)*(684\/j + -2). What is the highest common divisor of h and 154?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 6 = -4*c, -f + 1 = c + 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 22*j + 2664 = -9456. Sort -5, j, -2, -4 in decreasing order.\nAnswer: -2, -4, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13699 and 72694?\nAnswer: 52412374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 10*d**3 + 9*d - 23. What is m(2)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 3 + 10*p - 6.\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.05 - 2.95. Let q be 15\/(-6)*12\/(-30). What is the third biggest value in b, q, 7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 6:45 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 13) to base 7\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3983 (b) 0 (c) -9602\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/5)*d)\/(d\/(d**22\/d))*d\/(d*d**(-31)*d)*d*(d**(1\/23)*d)\/d)**(-3\/10) assuming d is positive.\nAnswer: d**(-8943\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (5 - (2 + 0)). Let j(i) = -i**2 + 4*i + 4. Let t be j(3). Let x = t - l. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 116 + 18*k**3 - 116 + (2*k - 2*k + k**2)*(-k + 5*k - 3*k) + 4*k**3 - 5*k**3 - k**3.\nAnswer: 17*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -37*o**2 - o - 2. Let z be q(-1). Let x = z - -52. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 726 and 297.\nAnswer: 6534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 12:33 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akaavvvv. Give prob of sequence aa.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/21 (b) -6 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 130 + 38. Let n = 52606 - 52578. What is the greatest common divisor of n and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4725571?\nAnswer: 43, 109897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 3*k + 364. Give h(-20).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1243 + 1?\nAnswer: -1242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 1\/3 (b) -1\/2 (c) 553\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 659273 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-2))\/(-3)*4\/16.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*y + 1792, 1598 = -3*y + 2*o + 528. Let n = -166 - y. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-8 + (71766\/14985)\/(3\/5))\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 4) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5 = -d + 5*t, 7 = -d - 3*t. Is 2 a factor of (-132 - -14)*d\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, y: 2, m: 1, g: 5, k: 2, e: 1}. What is prob of sequence khge?\nAnswer: 5\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*u - 3456 - 4191 = 0, 0 = 3*u. Let m = b + 240. Suppose -5*w = 4*l - m, -l + w + 3*w + 713 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*k + 3 = 0. Let j = -28162 - -28162.1. What is the second biggest value in -4, j, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/303 + -589\/5151. Let b = -7 + 1. Let z = b + 2. Put f, z, 3 in increasing order.\nAnswer: z, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 5, 6, 166 in ascending order.\nAnswer: -4, -2, 5, 6, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 754 + -474. What is the greatest common divisor of k and 1260?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**5\/10 + 2*j**2. Suppose 24 = 4*l - 4*z, -3*l - 5*z = 8 + 6. Let q(h) = 2*h**l - 7 + 7 + h**2. Give x(q(b)).\nAnswer: 54*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.28 - 0.67. Let b = 1.173 - 1.163. Let g = b - c. Put 3\/4, 0.6, g in increasing order.\nAnswer: g, 0.6, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 94, 32.\nAnswer: -3, 0, 32, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 9:13 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 - 2 - -2 - 5 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*c**2 + 44*c**2 - 67*c**2 + 28 - 28.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + i + 32, 2*k + 0 - 2 = -3*i. Suppose -k*n = -8*n + 43. Suppose 20 = p - a, 3*p - 3*a = p + n. Is 17 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91 or 359\/4?\nAnswer: 359\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2937*i**2 - 2929*i**2 + 5892*i**2.\nAnswer: 26*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + c**2 - 4 + (-1 + 1 + 2*c)*(0 + 0 + c) + 18374*c - 18374*c - 852*c**2 + 0*c**2 - c**2 + c - 3*c.\nAnswer: -850*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 11*s - 207 = 0. Calculate the remainder when s is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -159 or -158?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1663899 is divided by 8994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, -0.3, 0.064477, -1862?\nAnswer: -1862","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - ((6 - -4) + -22).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**5\/180 + 353*z**4\/24 + 530*z**3\/9 - 2342*z**2. Factor q(v).\nAnswer: -(v - 1060)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-10 - -9 - -10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*y + y + 2 - 2 as v*y + w and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4719 and 21984248.\nAnswer: 1573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1083097.\nAnswer: 41, 26417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5575.276 decades?\nAnswer: 55.75276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -643\/4 - -17369\/108. Sort x, -7, -0.5, 7, 0.3.\nAnswer: -7, -0.5, x, 0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 2*o + 2 = 0, -4*o = 7 + 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 5075?\nAnswer: -6\/5075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 799 - 791. What is the biggest value in 4, t, -2.8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 4\/7 + (-264)\/(-28).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4709*x**3 - x - 2362*x**3 - 2337*x**3 + x.\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-6)*2*(-15)\/20*-2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4*(sqrt(52)\/sqrt(4) + 5)*4*5)**2.\nAnswer: 128000*sqrt(13) + 486400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -126\/5 - -144\/5. Let f = 47963\/5232 + -1\/1744. Find the common denominator of j and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 5*h - 51. Suppose -2*n = -5*o - 10, 17*n - 3*o + 10 = 19*n. Let d be f(n). Is -1 not equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-34)\/323)\/((-8)\/1292). Solve -2*k + 4*z = 3*k + 15, 3*k + h = 4*z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d = 444 - 204. Calculate the highest common divisor of 1257 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40261684481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 841091.4l in millilitres?\nAnswer: 841091400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 2*i - 8, -5*j = -4*i - 0*i - 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 99 = u + 8, -5*n + 0*u - 273 - 203 = 2*u for n.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - -20. Let z = h - -14.14. Let q = z - 2.14. Sort -0.3, q, -4\/3 in increasing order.\nAnswer: q, -4\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*sqrt(26)\/sqrt(2))**2*-6.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 255 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 253649 = 1066968. Let m = k - -15763. What is m rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88590640 to the nearest integer?\nAnswer: 9412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 120370*b**5 + 135895*b.\nAnswer: 2407400*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from vpprp.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64601 divided by 15.\nAnswer: -64601\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g**5 - 130505*g**4 + 10011920*g**2.\nAnswer: 180*g**2 - 3132120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 57 = q - s, 3*q - 173 = -5*s. Suppose -5*w - 6 + q = 0. Calculate the greatest common factor of 88 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101211 - -101122?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and ((-2)\/(-12)*-32)\/((-2)\/4506).\nAnswer: 36048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*q = -2*q - 263, -2*w + 5*q = -137. Let u = 116 - w. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g + 2. Let y be (5 + 1 + -5)*1. Let h(v) = 2*v - 10. Let w(j) = -j + 4. Let x(d) = -2*h(d) - 5*w(d). Calculate y*x(a) - s(a).\nAnswer: 6*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 565.9542 + -566. Let v = t + 1.0458. What is the smallest value in -6, v, -2\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = i - 125, 162 = 4*c - 430*i + 429*i. Let q = -312 - -1009. What is the highest common divisor of c and q?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27.53 - 28.03. Sort y, 3, 0.1, 1\/7, -27.\nAnswer: -27, y, 0.1, 1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35 * 7.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6)*-9)\/(1*2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260139 is divided by 163.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284*l = 3*d - d - 3122, 27522*l - 16 = 27523*l + 5*d for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -71*u - 150 + 1215. Let l(a) = -19*a + 291. Let s be l(u). Solve -7*v + 15 = -s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40\/57 - -2\/57. Let z = -0.22 + -0.38. Let p = z - 4.4. Which is the closest to q? (a) -0.4 (b) p (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 434256233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 13*v**2 + 25*v + 80. Let k be i(15). Let b = -8.8 + -2.2. Let t = -7 - b. Sort t, k, -1\/5 in decreasing order.\nAnswer: k, t, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 5*y = -4, -8 = 5*s - 3*s + 2*y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 6*a**2 - 5*a + 2. Let f be n(-5). Suppose z + 377 = 3*u, f*u + 233 = 4*u + 3*z. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.239 - -1.339. Let y = 14.3 - 14.6. What is the biggest value in 2\/33, y, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18312870 divided by 6104290?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 + -9.98. Let b = o + 9.99856. What is b rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 19*m**2 + 5318*m + 90514. Determine j(-17).\nAnswer: -470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 2. Let u(h) = -h**3 - 3*h**2 + 3*h + 1. Let a(o) = o**3 + 4*o**2 - 4*o - 2. Let z(y) = q*a(y) - 3*u(y). Is 11 a factor of z(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/20 - 139\/1060. Let z = -6\/1955 - -100341\/207230. Let x = z + m. What is the second biggest value in 0, 2\/13, x?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30365.5943473 - 20.4110527. Let w = -30379 - a. Let l = -7 + w. Round l to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57.716 + -59.9. Let k = -2.3 - a. Let f = 17.916 + k. Round f to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/3 + 4 + (-5)\/(-3). Suppose 4*b + 3 = -1. Let r(t) = 3 + 3*t - 15*t + 3*t + 11*t. Let n(f) = f + 1. What is b*r(v) + z*n(v)?\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/40)\/(396\/48 - 8)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22620 is divided by 1884.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4327504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 23*i**2 - 21*i + 9. Determine o(-22).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 632700 is divided by 261.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-20) - (-147)\/(-210)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90, -4, -3, 11, -14 in descending order.\nAnswer: 90, 11, -3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**3 - 44*y**2 + 49*y - 300. Determine j(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -24*v + 54. Let y(i) = -8*i + 18. Give -3*w(c) + 8*y(c).\nAnswer: 8*c - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q + 1. Let x be r(-5). Suppose 12 = 5*p + 3*l, l + 10 = 2*p - 3*l. Let m be (-3 - x\/p)\/2. Which is bigger: -2\/13 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19984.6 and 0.1225.\nAnswer: 2448.1135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5319.0000045425 + -5319. Round o to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/21 + (-1363)\/(-203)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 34553?\nAnswer: 34545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*j - 98*j - 20 = 0. Let q be 8\/(-28)*-1*2. Factor 6\/7*i - q - 2\/7*i**j.\nAnswer: -2*(i - 2)*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 184648 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 5 + 115 - (-5 - (0 + 11))) + 5.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p - 3*p + 2*p)*(-15*p + 6 - 6) to q*p + z*p**2 + n and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00364477117 to four decimal places.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/212217?\nAnswer: 1\/212217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*t - t**2 + 47*t - 91*t - 11 - 2.\nAnswer: -t**2 + 11*t - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**2 + 9*x. Let r(j) = j**2 + j. Let s be 4\/10 + (16\/10 - 4). Let f(i) = s*r(i) + w(i). Factor f(t).\nAnswer: t*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -1d257d?\nAnswer: -1d2578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*c + 64*c - 3504. Let q = c + -579. List the prime factors of q.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(720) + 0)*-1)**2 - 4*(-3 + (sqrt(45) - sqrt(45)*-1))*5.\nAnswer: -120*sqrt(5) + 6540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 330\/17, 25, 14 in increasing order.\nAnswer: 2\/3, 14, 330\/17, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8760.9 and -0.36?\nAnswer: -3153.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**4*w + 1537491*s**4 + 9773*s**2*w + 25*s**2 wrt s?\nAnswer: -24*s*w + 36899784*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c**2 + 55*c - 45. Give l(-13).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cdc when three letters picked without replacement from ccccccdcdc?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, -2, -1149 in decreasing order.\nAnswer: 2\/19, -2, -1149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 66 - 16. Let k be ((-6)\/(-15))\/((-1)\/t). Is (-8)\/4 - (-84)\/k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.1, 1, 2, -22.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*r + n, 5*r - 5*n - 33 = -3. Let h(t) be the first derivative of 0*t**r + 3*t + 8 + 0*t**3 - 5\/4*t**4. What is the derivative of h(g) wrt g?\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26115169?\nAnswer: 107, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2479 is divided by 817.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 26\/5 of a millennium?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 395\/(-158)*(-4)\/(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.8024 (b) 8 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1215578466?\nAnswer: 2, 3, 19, 157, 22639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1109*w + l + 16 = 1111*w, -24 = -2*w + 5*l for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90594\/2106 - (-76)\/(-4446).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.72 - -34.28. Let r = -33 + d. Sort 1, 2\/5, -4, r in ascending order.\nAnswer: -4, 2\/5, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 857*y**3 + 3*y + 31*y + 24 + 11*y**2 - 856*y**3.\nAnswer: (y + 1)*(y + 4)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1287092724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11888471 (base 9) to base 7\nAnswer: -100454206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/459 in 3, 0.2, 2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/12)\/(-3))\/2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7.175568ms?\nAnswer: 0.0001195928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flffflflfflffflflf. What is prob of picking 2 f?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 115 - -103 - 115\/1.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -20+18.24\nAnswer: -1.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1728 divided by 64.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - -30) + -72 + 7 + 9 + -6 + -4.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 6:51 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 8212 - 8380 for p.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -8*s**3 - 19. Let f(u) = 9*u**3 + 20. Let y(p) = 4*f(p) + 5*j(p). What is the first derivative of y(l) wrt l?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60331 divided by -884.\nAnswer: 60331\/884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -57, -351, -1057, -2355, -4425?\n\"Answer: -30*q**3 - 26*q**2 - 6*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 301085215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7749.37ml to litres.\nAnswer: 7.74937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 + 0 - 1\/2*p**3 - 2*p.\nAnswer: -p*(p + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.4? (a) -0.3 (b) -0.5 (c) -37605 (d) 0.3 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 7*y - 7. Let r be 21\/(0 - 3) + 0. Let l be j(r). What is the remainder when l\/(0 - 2\/14) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -647382*o - 47258881. Give z(-73).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*q - 60. Suppose -5*p - j - 7 = -28, -4*j - q = -4*p. Solve 16 = 5*i - p for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 3:44 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3169395 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r = -97*r - 351. What is the nearest to 24 in -0.1, r, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-two ninths of a hour?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -6 + 14. Let p = 6 + f. Is -66*(0 - (-1)\/p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 1 = 4*j + 5*i, -i = -2*j + 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1738132296?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 10*j**5 + 20*j**4 + 18*j**3 + 16*j**2 + 8*j - 8. Let s(a) = -a**5 - a**4 + a**3 + a**2 + 1. Let i(q) = m(q) + 8*s(q). Suppose i(c) = 0. What is c?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/6 (b) 0.03 (c) 2 (d) -12\/25 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/9*1\/3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + b + 1. Let m(j) = -12. Suppose 5*g + 47 - 57 = 0. What is g*o(q) - m(q)?\nAnswer: -2*q**3 + 2*q + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 59 (b) -10.97 (c) -0.11 (d) 2 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -559 + 555. Which is the second biggest value? (a) -1\/2 (b) -0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.08062625 - -0.08055. Round n to 6 decimal places.\nAnswer: -0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -1669*b - 1. Let q(c) = -2*c. Calculate t(q(f)).\nAnswer: 3338*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/27 + 384\/810. Are r and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90137.69 centuries in millennia?\nAnswer: 9013.769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7*2\/(-4)*(-10)\/70. Is c greater than or equal to 1.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -69\/17 greater than -3\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/((-5)\/((-105)\/6)). What is the third derivative of -o**5 + y*o**3 + 3*o**2 - 4*o**2 - 7*o**3 wrt o?\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000084505 rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8375.22 in 3, -4, -3\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -4.87. Which is smaller: -3 or d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 0, 3, -4710, -5 in descending order.\nAnswer: 3, 0, -1, -4, -5, -4710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*d = 26*d - 20. Let c be (-39*d\/(-15))\/(8\/(-20)). Calculate the highest common divisor of 351 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 56 = -3*t. Let l be (-2 + (-86)\/(-2))*(-42)\/t. Suppose 0 = -4*k + 2*j + l, -6*j = 3*k - 8*j - 183. Is 21 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 225857, 226153, 226645, 227333, 228217?\n\"Answer: 98*k**2 + 2*k + 225757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -12*y**2 - 808*y + 52735. What is z(-108)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*g = -126447 - 130953. Is 44 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 27*j**2 - j - 3. Let a be (-1314)\/(-1095)*(-20)\/(-3). Let f(d) = 2*d**3 + 82*d**2 + 3*d + 8. Calculate a*m(s) + 3*f(s).\nAnswer: -2*s**3 + 30*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -1. Let x = -13.3 + 13. What is the second smallest value in w, x, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 243, -2, -1, 0, 3, -56 in increasing order.\nAnswer: -56, -2, -1, 0, 3, 243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r. Let d(s) = -s + 10. Let u be d(7). Let k(z) be the first derivative of 17*z**3 + 13*z**u - 4 - 32*z**3. What is k(q(n))?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 2:24 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/((j\/j**(-6))\/j*j)))\/j**(-7\/2)*(j*(j*j**(3\/4))\/j)**(-19) assuming j is positive.\nAnswer: j**(-91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -629 + 716.2. Let q = 60.5 - g. What is q rounded to 0 dps?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 646 and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -3\/5, -11.\nAnswer: -11, -3\/5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(605) + -5 + 2 + sqrt(605) + sqrt(605) + sqrt(605))**2 - (1 + sqrt(320) + (sqrt(5) - -3*sqrt(5))*3)**2.\nAnswer: 290*sqrt(5) + 13133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, -131, -502, -1077, -1856, -2839?\nAnswer: -4026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5*(89342\/2480 - 36)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -0*i + i. Let g(l) = l**3 - 3*l**2 - 12*l + 13. Calculate the remainder when g(6) is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 2201?\nAnswer: -2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 3*g**2 + 90*g + 4. Let i = 8 - -4. What is the lowest common multiple of i and z(11)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -158 at least -13531\/86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -210.81 + 209.81. Which is smaller: -31\/264 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 444512 and 10606976.\nAnswer: 307602304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -9. Let l be (-2)\/(-4) - (-110)\/20. Suppose -v*g - l + 20 = 0. Calculate the remainder when 27 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2506561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**2 - 6*z + 5. Let q be j(1). Is -5*((-3 - q)*-714 - -5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 171100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vppy when four letters picked without replacement from {x: 1, u: 7, y: 2, v: 5, s: 1, p: 4}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95900 and 14000?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/4 (b) -18 (c) -6 (d) 1\/7 (e) 0.073 (f) 2 (g) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1193901323 to the nearest integer?\nAnswer: 1061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 26787*a**3 - 4*a**2 + a + 2. Let t be j(-5). Let n be (-1)\/(282972\/t) + 2. Let d = -2\/23581 - n. Calculate the common denominator of d and 69\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1261.593 * -11.\nAnswer: 13877.523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**4\/3 - 8*q - 6. Let v(t) = 89*t**2. Calculate v(g(a)).\nAnswer: 1424*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**7\/42 + h**6\/8 + h**5\/3 + 6*h**2 - 38*h. Let s(t) be the first derivative of g(t). Let s(n) = 0. Calculate n.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200)*-3)\/sqrt(10))\/(-2*sqrt(80)\/sqrt(8)))**2 - (3 + sqrt(14)\/sqrt(112) + 1)*2.\nAnswer: -7\/2 - sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3. Suppose 4*o - 1156 = -4*h, -5*o + 594 = -3*o - t*h. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -43, -138, -297, -520, -807?\n\"Answer: -32*t**2 + t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2302666.\nAnswer: 2, 1151333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38514 (base 10) to base 3.\nAnswer: -1221211110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 11*v - 30. Suppose -t - v = a + 2*t, 0 = 5*a - 5*t - 30. Solve -4*n + a*b + 7 = b, 3*b = 5*n - 14 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/9)\/(2\/12). Let v(j) = 5*j + 6*j**2 - 3*j - 2*j**2. Does 20 divide v(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -460*i**2 - 2775*i - 9. Give x(-6).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(931) - -2*sqrt(931)*-2)*1)**2.\nAnswer: -42*sqrt(19) + 8380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*t = 81, -p = -3*t + 2 - 24. Suppose k + p - 821 = -5*w, 4*k + 20 = 0. What is the remainder when w is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 419 - 401. Let w(c) = -74*c - 3. Let d be w(-2). What is the lowest common multiple of (y\/10)\/(29\/d) and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) 7 (c) 0.021\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 6*u**5 - 3*u**3 - 3*u + 3. Let p(c) = c**5 + c**4 - c**2 - c + 1. Let q be (2\/(-2 - -3))\/2. Let m(b) = q*l(b) - 3*p(b). Factor m(t).\nAnswer: 3*t**2*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 753111195 + -65473?\nAnswer: 753045722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + (-43 + 22 - 3) - (0 - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -48*t**3 + 44*t**2 - 44*t. Let o(w) = w**3 - w**2 + w. Let y be (-100)\/55 - (140\/44 + -3). Calculate y*c(a) - 88*o(a).\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2205) - ((sqrt(2205) - (1*sqrt(2205)*-1 - sqrt(2205))) + sqrt(2205) - sqrt(2205))))\/((1*sqrt(108))\/sqrt(12) + sqrt(441)*3).\nAnswer: 35*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, 2, -0.5, 0.11, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 110 - -5. Let t be f + -2 + -2*1. Let j = -74 + t. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -67\nAnswer: 4\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/4)\/u*u*u*((u*u**1)\/u)\/u*u)\/(u**(-6)\/(u\/u**4)))**(2\/33) assuming u is positive.\nAnswer: u**(19\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/1092 and 73\/156.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15499\/10 + 1557. Do j and -0.18 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4335425 (base 6) to base 7.\nAnswer: 1554026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 12:25 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -15*m**2. Suppose 2*g + 29*g - 93 = 0. Let c(p) = 2*p**2 - p - 1. Let s(a) = -a**2 + 3*a + 3. Let h(o) = g*c(o) + s(o). Calculate h(d(u)).\nAnswer: 1125*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c**3 - 6*c**2 - 43*c + 52. Calculate v(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 6 = -i. Suppose -5*l + 4*a = 53, 0*l + 33 = -3*l + i*a. Let n = 3 - l. Sort n, -1, 4 in descending order.\nAnswer: n, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501 is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 5*x**2 - 4*x + 7. Let y be m(4). Suppose 0 = -y*b - 0*b + 56. Solve -3*a - 4*r - 22 = 0, b = a - 3*a - r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 - 0)*(-16)\/(-16). Let y be 416\/24*x\/4. Calculate the highest common factor of y and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.6 to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 914070.1 millilitres?\nAnswer: 914.0701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -3425450221?\nAnswer: 3425450223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 240 divided by -60\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1415627 millilitres in litres?\nAnswer: 0.0001415627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/12 and 17\/5646?\nAnswer: 11292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7775969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -4*x - 13, -6*d + 4*x = -5*d + 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 - k**3 - k**3)*(-2*k + 1 - 1) + 0*k**3 - 46*k**4 + 0*k**3.\nAnswer: -44*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/20 - 1659\/2765?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18365 - 12655. Calculate the smallest common multiple of m and 3.\nAnswer: 17130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 250482, 500918, 751248, 1001418, 1251374, 1501062, 1750428, 1999418?\nAnswer: 2247978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.7 and 91.\nAnswer: 94.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -20879, -20877, -20875, -20873, -20871?\n\"Answer: 2*u - 20881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 137?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 834 - 502. What are the prime factors of i?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**2 - 2*b - 2. Let r be x(-1). Let c be 1\/(r\/3*1). What is the remainder when 10 is divided by 1*c*3\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.36 + 14.2979. Let o = 0.5 + -0.444. Let z = m + o. What is z rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 - -36. What is the closest to h in 4, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 9. Let j be h(-3). Suppose -485 - 307 = -j*s. What are the prime factors of s?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from ffrngnwry.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -11*t**2 - 16 + 44*t - 78*t + t**3 + 48*t. Let z be u(9). Let p = -48 - z. Solve 5*m - 28 = h, p*m = -h + 3*h + 26 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -205*i + 1103*i - 14368 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/5 of a decade?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008982808 rounded to 5 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 9 = -2*a - 33, 84 = -4*a + 3*r. Let x = 23 + a. Suppose -220 = -3*l - x*l. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f**4*l**2 - f**4 - f**2*l**2 - 10*f**2*l wrt f?\nAnswer: -72*f*l**2 - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -382 - -385. Suppose 5*h - k*h = -2*a + 14, -h + a = -5. What is the highest common divisor of h and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11610000 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-424 + 734 - 578)*(2*p**2 - 2*p**3 + 0*p**3 + 3*p**3)*(-1 - 1 + 4)*(5*p - 2*p - 2*p) in the form q*p**2 + d*p**3 + s*p + o*p**4 + v and give o.\nAnswer: -536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49745?\nAnswer: 5, 9949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/11494489 or 1?\nAnswer: 7\/11494489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 3*x + 5*v, -3 = v + 1. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32\/87 or -365\/4?\nAnswer: -365\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1721637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10125516 is divided by 920501.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*p**2 + 5*p + 10*p**2 - 2*p - 2*p.\nAnswer: -25*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-146)\/(-16))\/(-73))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62477*f**6 - 2*f**4 + 81*f**2 + 130*f - 2.\nAnswer: 7497240*f**3 - 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 2*h + 18, -3 = -5*h + 2*u - 19 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 5*n + 5. Let b(h) = h**2 - 9*h + 9. Let s(x) = 3*b(x) - 5*m(x). Let p(l) = -3*l. Let r be p(-2). Suppose -4*t + t = r. Determine s(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8191 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-138493)\/99*-1 - 5\/(-30). Let k = 12548\/9 - h. Find the common denominator of 14\/9 and k.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(10\/(-4))*-1. Suppose n - 2 = -13. Let a = y - n. Solve 2*f = -f - a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*l - 15. Let u = 17 - l. Suppose t - 93 = -5*c, u*t = 4*c + 26 - 106. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10\/1603 - -1563\/6412. Let o = 86 + -775\/9. Which is the biggest value? (a) o (b) z (c) 4 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 62 = -2*r, -4*c + 42 = -2*r - 32. Let f(b) = -3 + 10*b + 0 + 5. Calculate the remainder when f(3) is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 43*o**2 - 5 - 45*o**2 + 3.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3753121 litres?\nAnswer: 375.3121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = -p - 35*p + 81. Solve 0 = 3*t - 4*l + 14, 0 = -p*l - 12 + 27 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of k*l**3*n**3 + 23681*k*l**2*n**3 - 12*l**3*n**3 - 2*l**3 + 90*l**2*n + 2*l**2 wrt k?\nAnswer: l**3*n**3 + 23681*l**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 521864, 1043844, 1565824, 2087804, 2609784?\nAnswer: 3131764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8754*i + 20186 wrt i.\nAnswer: 8754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1075*i**2*p**3*r**3 + 18*i**2 - i*r + p**3*r - 2*p*r**3 wrt r.\nAnswer: -6450*i**2*p**3*r - 12*p*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.82 and 2861?\nAnswer: -2346.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + -1. Which is the second biggest value? (a) 3\/4 (b) -0.4 (c) v (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 23, 33, 57, 101, 171, 273, 413, 597?\n\"Answer: a**3 + a**2 + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -507*d**4\/4 + 78*d**3 + 327*d**2\/2 - 54*d - 243\/4.\nAnswer: -3*(d - 1)**2*(13*d + 9)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -475.2 (b) 2 (c) 0.2 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s**2. Let i be (-5)\/(-15) - 8\/6. Let w(y) = 2*y**2 - y. Let o(r) = r**2 - r. Let l(b) = i*o(b) + w(b). What is p(l(d))?\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 16 = -4*m. Suppose -6*f - m = 13. Put 3, 0, f, -17 in decreasing order.\nAnswer: 3, 0, f, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*p + 61*p - 31*p as g + w*p and give w.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*d - 114 = 0, -4*w + 5*w = -5*d + 69. Suppose -227 = -7*m - 129. Solve -3*f = 15, w - m = 4*h - 3*f for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 + 5872875528.3?\nAnswer: 5872875528.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 + (2*3)\/(-3). Suppose t*f - 28 = -3. Let m = f + -2. Calculate the highest common factor of m and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*l**3*v**3 + 7209*l**3 + 25*l*v - 42*l - 1400*v**4 wrt v?\nAnswer: 6*l**3*v**2 + 25*l - 5600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.2 + -45.2. Let m = 18 + z. Which is the fourth smallest value? (a) 1 (b) 2 (c) 1\/7 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**10\/17640 + y**9\/6615 - y**8\/11760 + y**4\/8 - 6*y**2. Let a(l) be the second derivative of t(l). Factor a(v).\nAnswer: -4*v**3*(v - 1)*(3*v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4361 - -259. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -196339 + 196332.9999816. Let l = n + 6. What is l rounded to six dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -423010 + -3?\nAnswer: -423013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.261 minus 0.15?\nAnswer: 0.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -0.94\nAnswer: -0.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 9:35 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 - 4. Suppose 0 = 5*p - 2*z - 98, -4*p + p - 5*z = -34. What is the remainder when r is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -15*x**2 - 10429737*x - 20859414 = 0.\nAnswer: -3476569\/5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 7*s - 64000. What is s rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 399 and 1425?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -635*p - 3 - 5 - 15. Is f(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 53*c**3\/6 + c**2\/2 + 4*c. Let v be l(3). Suppose 0 = 4*a - 0*a - v. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 97014, 97010, 97004, 96996, 96986, 96974?\n\"Answer: -s**2 - s + 97016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x - 2471 - x**2 + 8*x**2 - x**2 + 6*x.\nAnswer: 6*x**2 + 3*x - 2471","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*a*t**3 + 53348691*a*t - 16072907*t**4 - 3 wrt t?\nAnswer: -48*a*t - 192874884*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h - 12. Let a be z(-6). What are the prime factors of (10\/(-8))\/(6\/a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -4, 24375, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(275)*-3 + sqrt(275) - sqrt(275))**2.\nAnswer: 60*sqrt(11) + 2479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g**3 + g - 1. Let a be z(1). Suppose a*r + 16 = -4. Let l be (-91)\/(-7) - 14 - (-6)\/2. Sort r, l, 11 in ascending order.\nAnswer: r, l, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 2*l**2 - 6*l + 4. Let t be w(4). Suppose -2*c + 3*g + g - t = 0, -g = c - 3. Let a = -3.5 + 0.5. Put 1\/11, c, a in ascending order.\nAnswer: a, c, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22.631418805643 + -0.1\nAnswer: -22.731418805643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, -0.6, 3.9, 2, -4 in decreasing order.\nAnswer: 3.9, 2, -1\/10, -0.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65650 + -46290. Is u a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -135 + 136. Let x be -138*(d\/2)\/(-1). Calculate the highest common factor of x and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -7*u - 257. Let f(w) = -w + 3. Give -d(a) + 6*f(a).\nAnswer: a + 275","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + b - 4*q = -3*b + 2, 294*b - 292*b + 10 = -2*q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20\/473 - -766\/4257. Put -0.35, b, 0.5 in decreasing order.\nAnswer: 0.5, b, -0.35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 107\nAnswer: -14\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1406 is divided by 141.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13506, -13497, -13478, -13443, -13386?\nAnswer: -13301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t - 1 + 2*t + 5 + 4. Let k be u(-8). Solve -4*p = -k*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 25, -2\/13, 92, 4.\nAnswer: -2, -2\/13, 4, 25, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1396*m + 1378*m + 2268 = 0. Calculate the remainder when 378 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7748 from -47.2501876.\nAnswer: -7795.2501876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37.084178 - -8.91578. Let h = n + -46. What is h rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -184 - -183.9676. Round v to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 2)*(-18*l - 11*l + 3*l) - l - 2 - 2 + 3*l.\nAnswer: -102*l - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 4*x**2 - 2*x - 2. Let j be i(2). Suppose -3*r + 210 = -3*u, -2*u = -j*r - r + 209. Is 29 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, -1, -2, -87, 4 in decreasing order.\nAnswer: 4, -1, -2, -38, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*n = -24. Calculate the greatest common factor of 36 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/160*109\/2. Let f = r - -167\/32. Suppose -4*x = o + x - 21, -33 = -5*o - x. Calculate the common denominator of f and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31 and 0.01.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**5\/2 + 25563*g**4\/2 - 22367067*g**3\/2 - 25563*g**2\/2 + 11183535*g = 0?\nAnswer: -1, 0, 1, 990, 7531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 l when three letters picked without replacement from {u: 1, n: 1, l: 2, y: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 7 (c) -19144\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47*a - 8*a - 2*a**5 - 14*a + 0*a**5 - 2*a**5 + 3*a**5 + (-6*a**4 + 2*a**4 + 2*a**4)*(-4*a + 3*a + 3*a).\nAnswer: -5*a**5 - 69*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 265194 and 265194.\nAnswer: 265194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) - (sqrt(1008) + 3*sqrt(1008)*-2))\/((sqrt(400) - -1*sqrt(400))*-5).\nAnswer: -9*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-771103.\nAnswer: 231330.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177, 353, 529?\nAnswer: 705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3766.9 - -3767. Which is the closest to p? (a) -4 (b) -4\/7 (c) -50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9695633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 11*z**2 - 9*z. Let t be n(6). Suppose t = -70*p + 76*p. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 126*i**2*m**2*x - 25*i**2*x**2 + 28*i**2*x - 7*i + 702*m**2*x**2 with respect to m.\nAnswer: 252*i**2*m*x + 1404*m*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*q - 14*q + 8. Let r be -7*(q*2\/4 - -1). Suppose -2*m - 2*m + 4 = 0. Solve -r = -n + 3*x - 3, 2*x = n - m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*h - 4*n - 9, -3*n - 18 = -h. Suppose 1 = 2*q + w - h, -10 = -5*q + 5*w. Find the second derivative of 8*v**q + 8*v - v + 0*v**2 wrt v.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 354*z**2 + 520*z wrt z.\nAnswer: 708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 4)\/1*(-12)\/5. Does 31 divide (-2)\/a*(-10 - -8)*-246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.537042ug to milligrams.\nAnswer: 0.001537042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -3*i + 8*i. Does 11 divide (0 + i)\/(2\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10309312813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.5, -77\/5, -6, 0 in descending order.\nAnswer: 0.5, 0.1, 0, -6, -77\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/4573 - 315529\/18292. Suppose 8 = -5*v + o - 6, -4*v - 16 = 4*o. What is the common denominator of l and (1\/(-36))\/(v\/(-150))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*v = 3409 + 1519 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*x + 1. Let t(u) = u - 1. Let m(r) be the third derivative of -r**4\/12 + 4*r**3\/3 + 102378*r**2. Determine x*m(a) + 3*t(a).\nAnswer: a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.015033 and 8.6.\nAnswer: 0.1292838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22039171, -22039172, -22039173?\nAnswer: -22039174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 160170664*b**3 - 106*b**2 - b + 83?\nAnswer: 961023984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 4, 0.3, 0.1, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from iininninnnnnnninni?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + (-1*(-2 + sqrt(5) + 2 + sqrt(5) + sqrt(5)) - (3 + sqrt(20))*-4)**2 + 1).\nAnswer: -813 - 360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -7*r**2 + 2*r + 2. Let m(g) = 6*g**2 - g - 2. Let z(a) = 5*c(a) + 6*m(a). Let o be z(-5). Let l be o\/(-10)*(-2)\/3. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*(21\/9 - 3). Suppose -j*l - 28 = -6*l. What is the smallest common multiple of 16 and l?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2925 + 79200 = -1022*z - 2029*z for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/56)\/(2\/(-7))*-2. What is the first derivative of 419*a**3 - 419*a**l + 2 - 28*a**4 wrt a?\nAnswer: -112*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*a + 25 - 25 to the form c + t*a and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2211 (base 3) to base 12\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -0.16, 3 in increasing order.\nAnswer: -2, -1, -0.16, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 770.0685 seconds in minutes?\nAnswer: 12.834475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11158267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1088)*2)**2 + 3.\nAnswer: 32*sqrt(17) + 4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-7) + (-132007)\/9149.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 734*w**2 - 6*w - 29. List the prime factors of j(4).\nAnswer: 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 8*x + 20. Find the second derivative of -4*l**4 + 5*l - 6*l**x + 0*l - 2*l wrt l.\nAnswer: -120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -420*r**3 - 14743 + 14743 + (3*r**2 + 3*r**2 - 7*r**2)*(2*r + 2 - 2) - 2*r**3 + 0*r**3 + 3*r**3 to the form b*r**3 + q + t*r**2 + c*r and give b.\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 310*c + 2056*c - c**2 + 716*c + 170*c + 155*c to the form w*c**2 + t*c + s and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8\/17, 5, -5.17, 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8538, 10607, 12676, 14745, 16814?\nAnswer: 18883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*f - 72 + 211 = 0, 0 = m + 3*f - 133. Solve -z = 4*b + 14, 138 - m = 3*z + b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 j, and 1 f when three letters picked without replacement from {f: 2, p: 1, j: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3405 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 r in 841*r**4\/2 - 11049*r**3\/2 + 10007*r**2 - 1302*r + 44 = 0?\nAnswer: 2\/29, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(363) - (sqrt(363) + -1 + -2)))**2 - (6*(0 + sqrt(363))**2 + (sqrt(363) - (sqrt(363) + -1 + -1))).\nAnswer: -2180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11860 (base 12) to base 6.\nAnswer: -301400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**6\/60 - y**5\/20 + y**4\/8 + y**3 + 65*y**2. Calculate q(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-92)\/(-9) - 2\/9. Let j = 1 + d. Suppose -40 = -5*r - 5*o, -7*o - 3 = -3*r - 3*o. What is the lowest common multiple of j and r?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*x = 0. Let v(c) be the first derivative of 1 + 0*c + x*c**2 + 0*c**4 - 2\/5*c**5 + 2\/3*c**3. What is the third derivative of v(s) wrt s?\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {r: 1, k: 1, c: 3, w: 2, u: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 589887601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k - 4*k + 0*k + (6 - 2 - 2)*(0*k - k - k) - 131 + 69 + 64 + 66*k as y*k + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -486 divided by 2?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168 and 92.\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 54*d**2 - 3*d - 48. Let j(l) = l**2 + l + 24. Let s(y) = 2*j(y) + r(y). Let v(i) = 2*i. Determine s(v(g)).\nAnswer: 224*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + h - 13, -2*h = 2*s - 4*s - 2. Suppose s*i + 19 = 5*g, -g + 2*i - 2 = -10. Solve 0*l + g = -2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*y**2 + 165*y + 3*y**2 - 4*y**2 + 28*y**2 + y**2.\nAnswer: y**2 + 165*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = 26*q + 6. Let g = 1689\/88 - -169951\/792. Let s = g + -234. What is the closest to 1 in q, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 10 - 24. Let t(k) = -8*k + 10. List the prime factors of t(o).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g - 16*g - 14*g)*(1 - g + 0*g + 1).\nAnswer: 23*g**2 - 46*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30.447 and 1.34?\nAnswer: -40.79898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 9*g**2 - 3*g + 2. Let w(a) = -a - 5. Let o be w(-2). Let u be (-2)\/o*3\/2. Let h be s(u). Solve -4*f = -h*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -860680136*w - w**2 + 1721360271*w - 860680092*w.\nAnswer: -w**2 + 43*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w**3 - w**2. Let f be l(1). Let a(m) be the third derivative of -7*m**4\/24 + 5*m**3\/6 + m**2. Is a(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((-1*sqrt(80)*-6 + (sqrt(80) - 2*(sqrt(80) + 1) - sqrt(80)) - (-3 + sqrt(80)*2*4)) + -4))**2.\nAnswer: 3456*sqrt(5) + 46404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**5\/2 - 3*w**4\/2 - 72*w**3 + 264*w**2 - 192*w = 0.\nAnswer: -8, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2. Let y = -7 + 7. Suppose y = -10*o + 5*o + 10. Let h(n) = -3 - n**o + 3 + 0. Give a(h(b)).\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -305*(-22 - (-291)\/15). Let g(d) = -d**3 + 7*d**2 + d + 6. Let h be g(5). Calculate the greatest common factor of v and h.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093757 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (593 - (-1 - 3)) + 3. Let d be 4\/14 - w\/(-56). Suppose -230 = -d*h - 54. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 350*m.\nAnswer: 2*m*(m - 175)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, l: 3, s: 2, x: 6}. Give prob of sequence xlsa.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2560 - k + 2560.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34489 and 7201.\nAnswer: 655291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(-3)*16\/(-6). Let l be (z\/10)\/((-16)\/200). Suppose 5*q + l = 5*s, -s - 2*s - 3*q = 0. Solve k + s*k = 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*v**2 - 804926075*v + 804926075*v.\nAnswer: 126*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31\/11, 4, 1308 in increasing order.\nAnswer: -31\/11, 4, 1308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12269 - 4607. List the prime factors of p.\nAnswer: 2, 3, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/9)\/n)\/(n**1\/n))\/(n**(2\/7)*n\/(n**(1\/10)*n)) assuming n is positive.\nAnswer: n**(-887\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -7*y**4\/24 - y**3\/2 + y**2. Let o be ((-3)\/2)\/(5\/10). Let x be l(o). Solve -5*i = 2 + x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -492*j. Let q(l) = -13*l. Let g(v) = -36*q(v) + x(v). Let h(o) be the second derivative of o**4\/4 - o. What is h(g(b))?\nAnswer: 1728*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49046370 and 34332459.\nAnswer: 343324590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.1 - 4.1000084. What is s rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 8:23 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.06788205201 and -0.009.\nAnswer: -0.07688205201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b448 - -16?\nAnswer: -1b432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**4\/2 - 316*d**3 + 18997*d**2\/2 + 5941*d - 3876 = 0.\nAnswer: -1, 2\/5, 51, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**3 - 15*m**2\/2 - 24*m. Differentiate z(h) with respect to h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53924136 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 2) in base 13?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**8\/6720 - j**5\/30 - 2*j**2. Let p(v) be the third derivative of f(v). Let g(l) = -2*l**2. Calculate g(p(i)).\nAnswer: -18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -1755675*c. Let w(r) = 1332*r. Determine t(w(d)).\nAnswer: -2338559100*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8751901 and 3.\nAnswer: 8751904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1170\/(-2550) + 11\/((-220)\/(-8)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 10:45 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15763\/9 equal to 1751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130483, -260905, -391341, -521797, -652279, -782793?\nAnswer: -913345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-39)\/(-54) - (-2)\/(-4). Let j = 1229\/3320 - -2\/415. Let o = -0.03 + 0.13. What is the third smallest value in g, j, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2284*b**5*v**3 - 267*b**2*v**3 - 428608*b*v**3 - 2*v**2 wrt b?\nAnswer: -45680*b**3*v**3 - 534*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2047\/6 - -343. Let x = -25\/12 + j. What is the nearest to 0 in x, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388363 is divided by 6175.\nAnswer: 5513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2928014 and 7714.\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 450551550?\nAnswer: -450551550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 x when four letters picked without replacement from {y: 4, f: 1, x: 7, a: 2}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5334*-2574\nAnswer: 13729716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49482 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(98) + (sqrt(98) + -1*sqrt(98) - sqrt(98)) - (sqrt(98) + -4*(sqrt(98) + sqrt(98) + 1))) + -4)**2.\nAnswer: 294*sqrt(2) + 4811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -22978, 22 in descending order.\nAnswer: 22, -1, -22978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (57\/2)\/3*(23 - 11). Suppose -113*w - 134 = -h*w. List the prime factors of w.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(7) + 0 + -3 + ((sqrt(112) - sqrt(7))*-2 + sqrt(7) - sqrt(7)))**2.\nAnswer: 180*sqrt(7) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -107, -129, -61, 97, 345, 683, 1111?\n\"Answer: 45*b**2 - 157*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5ab (base 13) in base 2?\nAnswer: 1111011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - j**2 + j. Let s(a) = 42*a**3 - 6*a**2 + 6*a - 1. Give -6*k(w) + s(w).\nAnswer: 36*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 1202403?\nAnswer: -1202402.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171 = 79*m - 60*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2363, -2379, -2405, -2441, -2487, -2543, -2609?\n\"Answer: -5*l**2 - l - 2357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -507 + 732. Let c(z) = 20*z + 8. Let y be c(-6). Let w = y + b. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 0.08 (c) 32046 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -4294*d**4 - 150305*d**3\/3 - 206287*d**2\/3 + 85640*d\/3 + 100\/3 = 0.\nAnswer: -10, -2, -5\/4294, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 80648309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a**2. Let h(s) = 3*s**2 - 3*s**2 + s**2 - 2*s**2. What is z(h(r))?\nAnswer: 6*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001985248 rounded to 5 decimal places?\nAnswer: 0.00199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y + 10. Let b(d) = -d**3 + 12*d**2 - 11*d + 15. Let t be b(11). Suppose t*f - 16*f + 7 = 0. What are the prime factors of n(f)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87808 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 73\/29?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 47*w - 7. Let d be n(-5). Let z = 299 + d. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001500201 rounded to 7 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 615338285 to the nearest integer?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25391*z + 12695*z + 12698*z - 3 + 3.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-20)*10\/(-2). Suppose 2*b - 3*d - 32 = -q, 0 = 2*d + 2. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -446898 * 0.4.\nAnswer: -178759.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, n: 7}. Give prob of sequence nnnn.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/8))**(-35\/3))**(-10\/3) assuming t is positive.\nAnswer: t**(175\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -2\/9 (c) 12\/7 (d) 0.1 (e) 1322\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5290543*d**3*s - d**2 + 6*d*s - 394033853*s with respect to d.\nAnswer: 15871629*d**2*s - 2*d + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -4, -2, -1004.\nAnswer: -1004, -4, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*(b**1*b)\/b*b)\/b)\/b*b\/(b*b**4))**(-2\/21) assuming b is positive.\nAnswer: b**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3 = -r, 7 = -5*r - 8. Find the common denominator of n + -5 + 2*113\/24 and (110 + (-2 - 1))\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/14? (a) 2\/11 (b) -5 (c) 2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5783 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 343*j**2 + 16*j + 199. Let s(p) = 196*p**2 + 9*p + 112. Let i(v) = -16*s(v) + 9*w(v). Calculate i(1).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + 17*v + 0*v)*(-3*v + 2*v + 0*v)*(-3 - 4 + 5).\nAnswer: 22*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01 + -1.19. Let y = 1.4 + z. Let d = -6 - -7. What is the nearest to 1\/4 in y, -4, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 6. Let m be 3*(-8)\/(-72) - (16\/(-21))\/(-4). Factor -m*x + 1\/7*x**w + 0.\nAnswer: x*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1329, 751, 183, -381, -947, -1521, -2109?\nAnswer: -2717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 343*h - 685*h + 348*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b - 2. Let m(d) = -1 + 4*d + 4 + 1 + 0. Determine 5*f(v) + 3*m(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.175 - 2.825. Let l = -0.6 + -3.4. Which is the second smallest value? (a) -10\/7 (b) t (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = -133*b - 121. Put 1, -5, b, -38 in descending order.\nAnswer: 1, b, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 464 and 2528?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2236602 - -626247819\/280. Let i = -3\/40 - l. Calculate the common denominator of i and -16\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, 1\/8, -2\/13, -4, -0.3, -68, -1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*d*l*z - 5*d*z + d + 10*l**3*z - 5*l**2*z - z - 5 wrt l.\nAnswer: 27*d*z + 30*l**2*z - 10*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 7*u + 3. Let d be t(0). Solve 0 = -d*b + 2*o - 13, 0 = 2*b + 2*o - 10 + 22 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.475165194 to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 321 + -171. Suppose h = 3*d - 27. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-8)\/(-7))\/2)\/(3 + -1). Which is the nearest to -2\/5? (a) m (b) 7\/2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 6) to base 10\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -d**4\/4 + 7*d**3\/3 - 4*d**2 + 4*d - 5. Let n be b(5). Suppose 0 = -4*i + 106 + n. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 6 + 3 - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**7\/105 + 4*s**6\/45 + s**5\/45 - 4*s**4\/9 - 5*s**3\/9 - s**2 - 4*s. Determine v so that h(v) = 0.\nAnswer: -5, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.2 (b) 0 (c) -2 (d) 2275\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + 3*((-1*sqrt(190) - sqrt(190)) + sqrt(190)) + sqrt(190))\/(sqrt(10) + sqrt(1440) + sqrt(1440)*-1).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.187 - 2.263. Let n = 11.45 + -11. Let z = n + w. Sort 0.5, z, -0.5 in ascending order.\nAnswer: z, -0.5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 2*w**2 + 10)*(4*w**2 + 3*w - 3 + 0 - w).\nAnswer: -8*w**4 - 4*w**3 + 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lltleltltllcltle.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1237132, -1237130, -1237128, -1237126?\nAnswer: -1237124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h + 0*h + 12*h + 2. Let p be t(-1). Which is the second smallest value? (a) p (b) 0.1 (c) -2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p - 7*p + 10*p)*(5*p + 21386 - 21386 + 33*p**2).\nAnswer: -132*p**3 - 20*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4149\/4 + -1038. Put 1\/8, 60, z in ascending order.\nAnswer: z, 1\/8, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nffnnnwfpjnofof. Give prob of picking 1 w, 1 n, and 1 f.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 - 7*f + 35. Let g be k(-6). Solve 5*b - 2*i + 3*i = 9, -g = 5*i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 7832 = -c, -778 - 3152 = -2*y - 3*c. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 8*u - 4. Let s be q(-8). Let x be (-3)\/s + (-7)\/28. What is the third smallest value in x, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/11)\/c*c*c**(1\/9)*c)\/(c**(-4\/3)*(c**(-1\/11)*c)\/c) assuming c is positive.\nAnswer: c**(269\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -2023, 25.\nAnswer: -2023, -4, -1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 811 divided by -136?\nAnswer: -811\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1272 by 4.\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1495 + 1492 - (0 - 0 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-69)\/21 + 3 + 46\/14. Let k(w) = -w**2 + 3*w. Give k(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 5. Let w be s(5). Suppose 8 = 3*j - r, w = -2*j + 2*r - 6*r - 4. Find y such that 4*y - y**j - 4*y + y**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 9831, 2\/91 in descending order.\nAnswer: 9831, 4, 2\/91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -3)*11\/(-2)*12\/(-18)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/17)\/(-63 + 9348\/152)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 1 = 4*j, 549 = 4*z - 3*j. Let i = -110 + z. What is the common denominator of i and -101\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5*x - 1. Let l(h) = -h + 1. Suppose -2*u - 14 = -4*t, -3*t + u - 4 = -15. Let a(m) = t*l(m) - j(m). Determine a(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6647 is divided by 190.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8812.768 micrograms?\nAnswer: 0.000000008812768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39437\/210 + -2816\/15. Find the common denominator of 41\/84 and z.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 8*z - 11. Let b be y(6). Is 4 a factor of 682\/22 + (5 - b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9336 divided by 2672.\nAnswer: 1167\/334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - 64\/(-24))*42\/(-8). Suppose -10 = u - 6*u. Solve t - 4*n = -0 + f, -11 = -u*t + 5*n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*p*t*y**2 + 2*p*t*y + 70*p*y**3 - 47204*t*y**3 - 78*t*y**2 + 430*y**2 - 2*y wrt y.\nAnswer: 420*p - 283224*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -10*l**5 + 28348*l**4 - 79322*l**3 + 73640*l**2 - 22656*l = 0.\nAnswer: 0, 4\/5, 1, 2832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2 + 1. Which is bigger: 4 or g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**4\/4 - 2*c**3 + 9*c**2\/2 - 4*c + 5. Let x be t(4). Solve 4 = 2*o - x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**2 - 14*b**2 + 23*b**2 + 6*b**2.\nAnswer: 22*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*o - 8. Solve 4*y**o + 3 - 5 + y**2 + 3*y = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1035*g - 70*g**2 - 199*g + 68*g**2 to p*g**2 + w + b*g and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -657524890 divided by -563915?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/2 (b) 0.297 (c) 1\/4 (d) -0.2 (e) -31.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*w + 3*u = 135*w - 14, -2*u - 16 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 37. Find the common denominator of (-484)\/72 - p\/9 and 79\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l - 4*v + 20 = -19*l, -4 = 2*l - 4*v. Let z be l - -4 - 7\/((-182)\/108). What is the closest to -0.1 in z, -5, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjrjrr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -511, -4065, -13715, -32509, -63495, -109721, -174235, -260085?\n\"Answer: -508*i**3 + 2*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 10*z**2. Determine u(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3293644 or 3293643?\nAnswer: 3293644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 948\/5 less than or equal to 190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -499\/2? (a) 2\/159 (b) 0.11 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1412, -27, -12\/13?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 754\/2652 - (45\/(-1020))\/(9\/(-24)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, k: 1, p: 2, b: 2, u: 1, j: 1}. What is prob of sequence pu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 775 - 778. Let t(v) = -5*v + 105*v**2 + 1 - 3 + 1 - 2. Let c be t(j). Round c to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 + 5*y**2 + 0*y**2. Let n(b) = -4*b**2 + 3*b. Let i(k) = k**2 - k. Let c(t) = -3*i(t) - n(t). What is l(c(d))?\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390*i = 1928*i - 28949 - 93905 for i.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 76. Suppose 3*j + 626 = 4*h, -121*j - 624 = -4*h - 117*j. Calculate the remainder when h is divided by o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-384)\/(-63) + -6)\/(6\/(-9)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 192995?\nAnswer: -38599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-914 - -901) + 3 + -2 + 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228.72 + 476680.\nAnswer: 476908.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 34*f - 26. Let r(o) = -34*o + 26. Calculate -4*j(n) - 3*r(n).\nAnswer: -34*n + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 12*v + 5. Let t(q) = 6*q**3 - q**2 + 1. Let r be t(1). Let n be p(r). Let c = n - 20. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**2 + 75*f - 360. What is q(5)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/(-5) - (-6)\/(-15). Suppose 8 = 3*y - a. Solve 0*f + y = f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 + 73. Let t be ((-12)\/c)\/((18\/(-16))\/(-1)). Sort 0.08, 3, t in decreasing order.\nAnswer: 3, 0.08, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/80? (a) 2\/5 (b) -0.314 (c) 4 (d) 3 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1306, 1304, 1300, 1294, 1286?\nAnswer: 1276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(-13)\/(-325) - (-17)\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10115831*x**5 - 41032564*x?\nAnswer: 202316620*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 10100000110?\nAnswer: 10100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 51 + 600?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2\/3, -3, -8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1090?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 25764, 26470, 27646, 29292?\n\"Answer: 235*r**2 + r + 25528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 234 - 228. Calculate the lowest common multiple of 7*(-4 + m) - 0 and (-24)\/2*(-2 - -1).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151816416?\nAnswer: 2, 3, 1581421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, 3, 1.4, -5?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 201537 to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + u**2 + u. Let h(m) = -2*m**3 + m + 3. Let d(g) = h(g) - n(g). Let v(x) = -12*x**3 - x**2 + 2*x + 6. Let p(f) = -2*d(f) + v(f). Give p(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*o**2 - 76*o**2 + 9*o**2.\nAnswer: -257*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1473068 to the nearest integer?\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-10)*(-10)\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -218.6 + 219.8. Which is the third biggest value? (a) o (b) 5 (c) -0.1 (d) -0.5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -3*p + 4\/3*p**3 - 3 - 5\/4*p**4 + 2*p**2. Let c(y) = 4*y**3 - 7*y**2 + 5*y**3 - 7*y + 4 + 1. Determine -4*c(x) - 7*n(x).\nAnswer: -x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2*s)*(s**2 + 2*s**2 - s**2) + 5*s**3 - 3*s**3 + 0*s**3 - 2*s**3 + 3*s**3 + 2*s**3 to v + a*s**2 + c*s**3 + g*s and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 6*z. Let o be x(-6). Suppose -5*q + 3*p - 4 = -66, 4*q + 5*p - 20 = o. Solve q = 2*f - 2*g, 5*g - 6 + 16 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3\/7 + 6*p**2\/7 - 36*p\/7 + 16\/7.\nAnswer: 2*(p - 2)*(p + 4)*(2*p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 75*h**5 + 80340*h**4 + 12904947*h**3 - 4620302478*h**2 + 242441495604*h + 503466157656 = 0. Calculate h.\nAnswer: -627, -2, 462\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 41 and -4.6.\nAnswer: -188.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1567, 3345, 5123?\nAnswer: 6901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13214124 divided by 69916\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -4, 0 in decreasing order.\nAnswer: 4, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 14*z + 21. Let u be v(12). Let m = -250 - -245. Sort m, u, 5, -2 in decreasing order.\nAnswer: 5, -2, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/52983 and -20\/33.\nAnswer: 582813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqlqllnblllnlnnl. What is prob of picking 1 l and 1 q?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, z: 1, t: 1, f: 1, p: 1}. Give prob of picking 1 p and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 359302350469\/31025883264 - -2\/80796571. Let r = 11\/128 + m. Suppose 49 = -3*v - 8. Find the common denominator of v and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/3 + (0 - 0). Let k = -34.02 + 33.92. Suppose -2*d - d = -6. Which is the closest to r? (a) 1\/5 (b) k (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 - (-10 + -18) - -37?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -3) + 18 + 6 + 5.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1299150 to the power of 1\/2, to the nearest integer?\nAnswer: 1140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 174328 to the power of 1\/2, to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 4*r**2 - 2*r**2)*(-17 + 5*r + 17)*(69 + 79 - 46).\nAnswer: -510*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d = -2003 + 1883. Solve 34*k = d*t + 35*k + 14, 0 = -4*k - 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -4. Let y = -24748 - -24747.9. Which is the closest to 3\/4? (a) r (b) y (c) 2\/7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3011088 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (744\/9)\/((-12)\/126). Find the common denominator of ((-1)\/7)\/(-16*3\/u) and -5\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26\/(-9009)*11)\/(4\/12)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799873870 a multiple of 4102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2. Let v(h) = 60*h - 35. Let w(n) = -5*n + 3. Suppose 2*i = 104 - 34. Let x(m) = i*w(m) + 3*v(m). Give x(l(u)).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -w**6\/120 - w**5\/60 + 2*w**3 + 323*w**2. Calculate v(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8334472*d**4 - 5996326?\nAnswer: 33337888*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165355 + 2*w + 48*w**2 - 165355.\nAnswer: 48*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 53049 = g, -2*d + 4291 = 3*g - 22226. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*20\/(-16)*(-13 - (-447)\/35)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -11 + -6 - -76) + -14 + (1 - 9)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58348 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 28*o**2 - 104*o**2 + 21*o**2 + 28*o**2 + 19*o**2. Suppose 0 = -3*g + 5*u - 99, -2*g = -5*g + u - 87. Let a be (-8)\/g + 27\/(-21). Determine p(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 94 = -21*l. Let o = -92 - l. Suppose -o*d = -5*d + 510. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hffh when four letters picked without replacement from horomromhfrhooof.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 156480619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99 + 165. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*m + 90 = 88*m. Which is smaller: m or 154?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -547 = 3*s + 4*r - 1397, 3*s = 4*r + 818. Suppose -2*a = -8, -2*i + 0*a + s = 3*a. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -179.241 + 1.541. Let d = c + 178. Put 12, d, 3 in decreasing order.\nAnswer: 12, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1272 - -1275. Solve v = -0 + 3, -3*v = f*b - 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (0 + 3\/(-1)). Let d be (-22)\/33 + 2\/f. Suppose -2*n + n - 2*m + 133 = d, 0 = 2*n + 5*m - 261. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6*y - 1. Let g(p) = -92*p**2 - 1104*p - 184. Let n(i) = -920*f(i) + 5*g(i). Let b(v) = -3*v**2. What is n(b(z))?\nAnswer: -4140*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1071 + 1064.91. Let n = -3.1 - c. Let x = 0.01 + n. What is the biggest value in x, 0, -1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 + 1)*(-2*l - l + 2*l) + 214*l - 87*l + 113*l + (l - 3*l + 3*l)*(2 + 3 - 3) + 2*l + l - l in the form n + y*l and give y.\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5430 and 14661?\nAnswer: 146610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g + 0*g + 75*g**2 + g - 6*g.\nAnswer: 5*g*(15*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 1142*g + 1082. What is h(-1)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -8, -0.4, -60, 1, 0.5 in descending order.\nAnswer: 1, 0.5, -1\/4, -0.4, -8, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: cdb (base 14) to base 6\nAnswer: 15441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*m + 323 = -4*m, -m = -2*k - 125. Let h be (-6)\/27 + k\/(-612). Which is the third biggest value? (a) -4 (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 443615*r**5*x**3 + 3*r**3*x**2 - 5*r*x**3 - r*x**2 - 10*r*x + 1274*x**3 wrt r.\nAnswer: 8872300*r**3*x**3 + 18*r*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60624150511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13758 - -4?\nAnswer: -13754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3689 - 3757) + (37 - 1) - -36\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-240)\/(-448) + (-3)\/4?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12313 + -49255\/4. Are 0.093 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 11*x - 156. Let y(o) = 27*o - 387. Give -12*k(g) + 5*y(g).\nAnswer: 3*g - 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t + 9*t - 17*t = 0, 4*f - 5*t = 0. Let s(p) be the third derivative of -1\/60*p**5 + 0 + 36*p**2 - 5\/6*p**3 + 3\/8*p**4 + f*p. Calculate s(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 3:50 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2512426.\nAnswer: 2, 7, 31, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n + 21 - 3*n - 2*n**2 + n**2. Calculate the remainder when c(0) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from urrauarrrdr. What is prob of sequence rra?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i**2 + i + 1. Let b be n(2). Let z(r) = -r + 13. Let v be z(b). Suppose -49 = -3*s + 86. What is the highest common divisor of v and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1547 + 1693. Calculate the remainder when 1749 is divided by i.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**5 + 1 - 1)*((-18 + 24 + 40)*(-3 + 4 - 3) + (-4 + 4 - 1)*(-3 - 1 + 5) - 2 - 2 + 2).\nAnswer: 95*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (-1 + sqrt(175) + -1 + sqrt(175) - ((sqrt(175) - (sqrt(175) + 1)) + sqrt(175) + -4)))*4*5*4)**2.\nAnswer: 512000*sqrt(7) + 1529600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 511 is divided by 84?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (5 - 2) + -1. Suppose -5*q - 21 = -n, -5*n - 2*q - 5 = -5*q. Which is the second biggest value? (a) -5 (b) v (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2948230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r + 32. Let g be b(13). Solve 2*n - g*n = 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 95*u + 950. Calculate l(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c - 9. Let z be u(-8). Let r = 19 - z. Let q = 4 + 3. Calculate the remainder when r is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = p - 12, -5*p + 56 = 3*u - 0*u. Let k(f) = -2*f**2 + 5*f - 5. Let o(q) = q**2 - 2*q + 2. Calculate p*o(a) + 4*k(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 3*n + 4. Let p be o(-4). Sort 5, -3, p.\nAnswer: -3, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w. Let b be v(-4). Let t = -12 + b. Solve 2*q + 0*q = -t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 570 = -x, 5*x + 2*q = -0*x + 2794. What is the remainder when x is divided by 209?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.12 + -0.23. Let a = 1.09 + w. Let x = a - -0.02. Is x <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 11. Let d be ((-3)\/8)\/(10\/(-540)). Let f = -20 + d. Which is the closest to 2\/5? (a) s (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2743?\nAnswer: 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 + -35. Let b(a) = 2*a**2 - 17*a + 18. Let u(l) = -3*l**2 + 18*l - 17. Let w(v) = o*u(v) + 2*b(v). Factor w(n).\nAnswer: -5*(n - 3)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 4 + (211 - 182) - (11 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2 - 1 + 6*y - 19*y + 16*y. Determine k(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11936*a**3*h**2 - a**3*h + a**2*h**2 - 3367*a*h + 1 wrt h.\nAnswer: 23872*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**10\/((k\/k**(3\/2))\/k) assuming k is positive.\nAnswer: k**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 705012726 a multiple of 417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11\/2 = 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19602 less than -13?\nAnswer: -19615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 19456988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9716239.\nAnswer: 13, 19, 139, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/(-40))\/(207\/(-138)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123551831?\nAnswer: 13, 9503987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 7*a**2. Let n be b(7). Is 3\/(6\/314) + n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 108 - 54. Let t = 3 - 7. What is the tens digit of 2\/t*(0 - (y + -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**3\/7 - 186*n**2\/7 + 185*n\/7 = 0?\nAnswer: 0, 1, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + 4 + sqrt(891)*3 - (sqrt(891)*-2 + 4))**2.\nAnswer: 32076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 204 and 12223.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b**3 - 1074*b**2 - 72360*b - 35912 = 0.\nAnswer: -134, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j**(-2\/31)*j)*j**(-19)*j*(j\/j**5*j)**(-11) assuming j is positive.\nAnswer: j**(467\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -84*((-9135)\/(-980))\/(-87)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 38, -12, -3 in decreasing order.\nAnswer: 38, 5, 2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21824 - -21829. Which is the fourth smallest value? (a) 79\/8 (b) -0.4 (c) j (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2))**(2\/155)\/((d\/(d**2*d)*d)\/(d*d**(-1\/9)))*(d**(-2)*d)**(-4\/13)*((d\/(((d*d**(-1\/5)*d)\/d*d*d)\/d)*d)\/d)**(48\/5) assuming d is positive.\nAnswer: d**(-499549\/90675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + (247 - (-2 + -1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.480027529 rounded to 4 decimal places?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**2 + 1. Suppose 0 = -4*p + p + 12. Let z(m) = m**2 - 3*m - 3. Let s be z(p). Let u be v(s). Solve 9*q - u*q + 25 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*d - 246. Let b = d - -366. Calculate the highest common factor of 15 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2111 - 134?\nAnswer: 1a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 1\/2 (b) -4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16740 rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30676855?\nAnswer: 5, 11, 557761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.19152 to 3 decimal places.\nAnswer: -0.192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/22)\/(170\/935)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -200*a**2 - 17*a + 65497 with respect to a.\nAnswer: -400*a - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46\/33 - 8\/11. Is n < -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v**3 - 5*v**3 - 4*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 693889130?\nAnswer: 2, 5, 11, 83, 76001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 5:53 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 62865.\nAnswer: 1\/5715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-42))\/(320\/36 + -9).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6666 and 5555?\nAnswer: 33330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -466736 times -3.6?\nAnswer: 1680249.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 4*a**2 + 3*a + 4. Suppose 2*i - 2 - 2 = 0. Let p(g) = -3*g + 5*g - g - i*g**2. Let r be p(-1). Give f(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + x**2 + 2*x. What is the remainder when c(3) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 4*f = 0, 3*r - 10 = 3*f - f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(68))**2 - sqrt(17) - (sqrt(425) + (-1*sqrt(425))**2).\nAnswer: -352 - 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -211130?\nAnswer: 211113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.94 + 1.81. Which is the second smallest value? (a) -3 (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/6*(-5)\/(-6))\/(15\/54).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68287682*m**3 + 3667496*m - 3 wrt m?\nAnswer: -409726092*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/13)\/y*y)\/(y*y*y\/y**(2\/7)*y*y)*y**(-1\/4)\/(y\/(y**(3\/8)\/y)))**45 assuming y is positive.\nAnswer: y**(-213345\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 28, -3 in descending order.\nAnswer: 28, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 161831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -25*k + 54. Let c be i(-6). Suppose 130*n - c = 127*n. What is the remainder when n is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 2*q + 5, -2*r + 8 = 3*q - 4*q. Suppose l - r = -0. Suppose 0*u = -u + l. Solve 6*c + 12 = u*c, 20 = x - 5*c for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -o + q, 0 = -3*o - 0*o - 4*q + 18. Solve 0 = -3*r - o*r - 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -1, 1294, -2, 0, 5 in descending order.\nAnswer: 1294, 26, 5, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (-1)\/2*-14. Let b(d) = -d**3 + 8*d**2 + d - 5. What is the units digit of b(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -11*c**3 - c**2 + c + 2. Let d be w(-2). Let n = 160 - d. Suppose x - 170 = -2*b - 2*b, 0 = 2*b + 5*x - n. Is 21 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69 + 74. Factor -26\/5*r**3 + 12\/5*r**4 + 24\/5*r**2 - 8\/5*r + 0 - 2\/5*r**n.\nAnswer: -2*r*(r - 2)**2*(r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5154 is divided by 1961?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1924 a factor of 43130224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}