diff --git "a/data/dm_maths/full_data/1106_11255.jsonl" "b/data/dm_maths/full_data/1106_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1106_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let h = -338 - -443. Find the third derivative of 0*l**3 + 1715 - 1715 - l**3 - h*l - 2*l**2 - 69*l**4 wrt l.\nAnswer: -1656*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1153, -1161, -1173, -1189, -1209, -1233, -1261?\n\"Answer: -2*h**2 - 2*h - 1149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 4:36 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 42 = -7*a. Suppose a*k = 5*k - 2906. Let n = 2174 + k. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -174691*m**2\/5 + 174698*m\/5 - 7\/5 = 0.\nAnswer: 7\/174691, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 times -2?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 200*t - 199*t - 3 = 0, 5*t = 3*l + 17 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 74, 781, 1944, 3551, 5590, 8049, 10916, 14179?\n\"Answer: -2*c**3 + 240*c**2 + c - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.8 (b) 0.011869 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -266*y**2 - 247*y + 4. Let c(p) = 6*p**2 + p - 1. Let d(f) = -4*c(f) - u(f). Find the second derivative of d(s) wrt s.\nAnswer: 484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + 0.2. Let q = 8.4 - 7. Let i = q + -2.4. What is the nearest to -0.1 in p, i, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwwj. Give prob of sequence jw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -26 - (4 + -10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4193745185 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 485594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8333*t**4 - 5*t**2 + 6*t + 11.\nAnswer: 199992*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2 - 2*p - 2*p**2 + 2*p. Let i(m) be the third derivative of -41*m**4\/12 + 1587*m**2. Calculate j(i(x)).\nAnswer: 6724*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/3)*u**(-2\/25))\/(u**0\/u)**39 assuming u is positive.\nAnswer: u**(2944\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t - 1. Let j(h) = 395*h + 45. What is 90*b(w) + 2*j(w)?\nAnswer: 610*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9794 + -3757. Suppose -g - 1678 = -y, 4*g - f = -4*y + 691. Suppose -5*j = 9*j - y. Calculate the greatest common divisor of 15 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 1\/4*d**4 + 0*d**3 - 4 + d**2 + 5*d. Let z be u(0). Solve -z*w + c + 0 = 5, 0 = w - c - 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**3\/2 - 10349*c**2\/2 - 20701*c\/2 - 10351\/2 = 0 for c.\nAnswer: -1, 10351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/9)\/(4 - (-23)\/(-6)). Suppose 4 + 6 = -5*i. Which is the third smallest value? (a) f (b) i (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, i: 1, x: 2, b: 1, p: 2, l: 1}. What is prob of picking 1 i and 1 l?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.34 + 2.84. Let n(h) = 3*h**2 + 12*h + 4. Let g(i) = 6*i - 27. Let j be g(4). Let y be n(j). Sort 4, -0.06, y, z in decreasing order.\nAnswer: 4, z, -0.06, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 4\/7, -1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29 + -3?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -95492, -95534, -95606, -95708?\n\"Answer: -15*t**2 + 3*t - 95480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 137 + -79. Let y = -58 + 51. Let j = s + y. 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 c(x) = -x**3 + x - 8. Let b be c(0). Let p(i) = -2*i**3 - 3*i + i**3 - 1 + 330*i**2 - 338*i**2. What is the tens digit of p(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*y**(-5))\/y)**(-9)\/(y**(-1\/4))**(-24) assuming y is positive.\nAnswer: y**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13051611 divided by -81?\nAnswer: -161131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -133 - -283. Let l = s + -135. What is the smallest common multiple of l and 22\/4 + 1\/2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**6\/60 - o**4\/6 - o**3\/2 + 32*o**2. Calculate w(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -23211022231?\nAnswer: 23211022302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(8) - (-4*sqrt(288) + sqrt(288)) - sqrt(8)) + 3*(sqrt(38)\/sqrt(2) + 5).\nAnswer: 55*sqrt(19)\/18 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*t - 3*t**2 + 3*t**2 + 2 - 3*t**3 - 15*t to z*t + c + g*t**3 + v*t**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29524 - 12669 = -21*n + 5456. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 12 = -50. What is the remainder when a is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 94\/(-141) - 17\/(-12). What is the closest to 28 in -1, x, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 + -42. Suppose 2*s - 14 = -g*t, t + 2*s - 2 = s. Suppose -5*w + 25 + t = 0. What is the smallest common multiple of w and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24410\/56630 - 9\/21. Let h = 1588\/12135 + s. Which is the third smallest value? (a) -37 (b) -0.3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89485 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 5:28 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143454, 287084, 430714, 574344, 717974, 861604?\nAnswer: 1005234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + w**2 + 3*w - 31. Let r be q(5). Let y = 135 - r. Which is the fourth biggest value? (a) 2\/5 (b) 3 (c) 0.5 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 8*m**2 - 6*m - 23. Let w be h(5). What is the highest common factor of 748 and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53360?\nAnswer: 2, 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*f**3 + 0 + 0*f**4 - f**2 - 1\/2*f**5 + 0*f.\nAnswer: -f**2*(f - 1)**2*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -79, -89, -77, -37, 37?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 27893 in descending order.\nAnswer: 27893, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 606899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176237 is divided by 654?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 450, 436, 384, 270, 70, -240?\nAnswer: -684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + t - t)*(2 + 0 - 3) + (2 + 2*t - 2)*(-6 + 0 + 4) - 16 + 16 + 20*t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -423 - 749. Let i = o - -1163.67. What is i rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 4)*(4*h**2 + 6*h**3 + 0*h**3 - 2*h**3) to z*h + r*h**2 + y + p*h**3 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 19*m**2 + 256*m - 3053. What is b(25)?\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 8*t**2 - 1. Let z = 19 - 19. Let u = -1 + z. Calculate l(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**4*l)\/l)**43)**13 assuming l is positive.\nAnswer: l**2236","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 100*v**2 + 1924*v - 272. Let x(y) = 33*y**2 + 641*y - 93. Let q(t) = 3*g(t) - 8*x(t). Factor q(d).\nAnswer: 4*(d + 18)*(9*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(1\/19))\/(j*j\/(((j**(-3\/13)*j)\/j)\/j)))**(1\/21))**11 assuming j is positive.\nAnswer: j**(-2068\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.540967ml?\nAnswer: 0.008540967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*l - 2*l = -16, 0 = -b - 5*l + 24. Let m(h) = h**2 - 3*h + 2. Let d be m(b). Let o be (-4)\/d*(-21)\/(-28). Which is smaller: o or -2\/11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*i - 3*z - 5 + 5, -i - 14*z + 33 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*x + 3*x**2 - 9*x - 4*x**2 as a*x**2 + n*x + p and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 478.9761 - -0.0239. Let y = 481 - b. Let t = 0.09 - 11.09. Sort y, 0, t in decreasing order.\nAnswer: y, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + p**2 - p - 1. Let r be (-2 + 5)*3\/9. Let h(b) = 4*b**3 - 8*b**2 + 6*b + 6. Calculate r*h(x) + 6*w(x).\nAnswer: -2*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 290 + -289.985. Let b = w - 0.02532. Round b to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 5)*(-2 + 0 + 0)*(-3*d + 119*d**2 - 229*d**2 + 120*d**2).\nAnswer: 60*d**2 - 18*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 311980967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1776, -1490, -1204, -918, -632?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*10\/45)\/(20\/(-210)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -364.1 and 375?\nAnswer: -136537.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6*(5 - (-130)\/(-30))\/(-2). Which is the smallest value? (a) 0.4 (b) p (c) -1\/268\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/((-80)\/(-24)) + (-704)\/240.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -5*o - 44, 686*o + 80 = 677*o + 4*f for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*g + 411 = -319 - 500 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2. Let a(f) = f**2 + 2. Let k(z) = 1. Let u(v) = -a(v) + 2*k(v). Calculate u(p(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 14 = -8*j. Which is the closest to -2? (a) j (b) -1\/9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1144290 by -4.\nAnswer: 572145\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 30*i**3 - 3*i**2 + 4*i. Let n(z) = -59*z**3 + 5*z**2 - 7*z. Let k(s) = -4*n(s) - 7*t(s). Find the third derivative of k(d) wrt d.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 5*i + 25, 7*i - 150 = 2*x - 155 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252790295.\nAnswer: 5, 1693, 29863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10466 - -10473. Solve 111 = b*o + 76 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -957 + 7629\/8. What is the common denominator of (118\/(-14))\/((-12)\/(-14)) and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1288174, -1288160, -1288138, -1288108, -1288070, -1288024, -1287970?\nAnswer: -1287908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7)\/(z*z**0))\/(((z*z**1\/z*z*z*z)\/z)\/z)**(-3\/17) assuming z is positive.\nAnswer: z**(-130\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, t: 3, o: 1, p: 5, a: 1, j: 1}. Give prob of picking 1 t and 1 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 12*h**2 - 11*h + 1. Let q be n(-12). Let k = 1825 + -1811. Calculate the greatest common factor of q and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/5*t**2 + 1008\/5 - 132\/5*t = 0.\nAnswer: 12, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - k - 1. Let q(b) = -b**3 + 22*b**2 + 24. Let a(x) = q(x) + w(x). Let n be a(21). Let c(l) = 9 + n*l**2 - 3*l**2 - 8 + 6. Determine c(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 - 259*o**3 + 8136 - 8136 to x*o**3 + z*o**2 + y*o + k and give x.\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -396aa (base 15) to base 3\nAnswer: -100100001221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 288 divided by -48\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 21*s**2 - 44*s + 121. Determine z(19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/(-87)*(-6)\/(-20)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -k + 3*k + 10, 3*k - 5*q = -11. Suppose -k*l + 21 = 3*t, 12 - 34 = -4*l + 2*t. Let c(r) = 3*r - 8. Give c(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g = -4*f + 3*g - 19, -2*f - 3*g - 17 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)\/v)\/((v**(-4\/9)\/v)\/v))\/((v*v*v\/(v\/(v**(-2\/5)\/v)))\/v)**(-19\/5)*((v*v**7*v)\/v**(1\/7))**(1\/30) assuming v is positive.\nAnswer: v**(-1229\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -12, -18 in decreasing order.\nAnswer: 16, -12, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 208\/20 + (-2)\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -162656.47 take away 221299?\nAnswer: -383955.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 61, 24, 9.\nAnswer: -12, 9, 24, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-4\/5))**(-4\/3) assuming s is positive.\nAnswer: s**(-4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307 = -12*d - 136 + 309 for d.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -7) + (1 - 0) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2862636 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: Let i(a) = 18*a + 80. Determine i(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -29.9 (b) -1\/2 (c) -63 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 4. Let p be g(5). Let m = p - 2. Let y be -1 - (2 + (-8 - m)). Is 5 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - n - 310 = 0, 2*c = 5*n - 6*n + 152. What is the remainder when c is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 756.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 13*s - 21*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5984.9 - 5985. Which is the nearest to 2? (a) -0.04 (b) -0.3 (c) q (d) 1\/18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 12) + (-4 - -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 25271585 divided by 5\nAnswer: 5054317","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 791201040 and 480.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 5:25 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1497781 times 1\nAnswer: 1497781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -1.1, 7.\nAnswer: -1.1, -2\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -216711 (base 8) to base 11\nAnswer: -4aa70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 14551, -52, -1 in decreasing order.\nAnswer: 14551, -1, -3, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -79622*p + 4407. Is c(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) -2 (b) 5 (c) 1.4 (d) 0.4 (e) 0.21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4814 and -1891?\nAnswer: -9103274","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -1) + 12\/3. Let g = 2 - 6.7. Let n = 5 + g. What is the closest to 1 in n, -2, p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 783727682 to the power of 1\/3, to the nearest integer?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 93 = j, -8*m + 10*m - 2*j - 54 = 0. What is the tens digit of 4\/m - (12 - (-57948)\/(-90))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36678131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - 7. Let r(o) = o**2 + 13*o + 10. Let g be r(d). Let x = g - -6. Solve -m - k + x = -5*m, 6 = -5*m + k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 10*m**2 + 11 + 7 - 28 + 5*m**3 - 7*m**2 as r*m**3 + o*m**2 + p*m + q and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2426232593.\nAnswer: 881, 911, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 12. Give u(-9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -705263.\nAnswer: 352631.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**4 + 3090*k**3 - 111200*k**2 - 234720*k.\nAnswer: 5*k*(k - 36)*(k + 2)*(k + 652)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -618591\nAnswer: -61859.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2147*g + 231844. Give c(108).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 29. Give y(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 5*v + 10 + 11 - 4*v. Let s(b) = -2*b - 3. Let k be s(3). Let w be o(k). Solve 2*z - 1 - w = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1173025 divided by -6\nAnswer: 1173025\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, d: 7, p: 4}. Give prob of picking 3 l.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -904 - -475. Let d = y - -432. Solve 3*g + i + 15 = 0, 0 = d*i - 7*i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5 - 254*u**4 - 2880*u**3 + 858600*u**2.\nAnswer: 2*u**2*(u - 90)**2*(u + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + -25 + 20 + -22.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18249 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttnnzlnnzntluzcll. What is prob of sequence tl?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/(-6)*2732\/(-1366)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 3\/(6\/118). What is the tens digit of (i - -8)*1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.040367*-120.6.\nAnswer: -4.8682602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 474*z**3 - z - 713*z**3 + 240*z**3. Let y(q) = 2*q**3 - 3*q**2 + 2*q - 2. Calculate c(n) - y(n).\nAnswer: -n**3 + 3*n**2 - 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**3\/6 - 3*g**2 + 2*g. Let t be j(-6). Solve t*u + 4 = -u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -14*q + 1297. Give o(92).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -400 - -405. What is the least common multiple of n and 610?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/(-12)*75\/4 and -77\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.3 and -9.4.\nAnswer: -21.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 704 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -103*g + 11997 - 6259 - 3369 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f - 6*f + 2*f + 5 + 4*f - 5 + (-3*f - 3*f + 8*f)*(7 - 2 + 2).\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1513 - -21193\/14. Let h = 365271\/40 + -9133. Calculate the common denominator of h and c.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2 + sqrt(17) + sqrt(17))**2 + sqrt(170)\/(3*sqrt(10)).\nAnswer: 25*sqrt(17)\/3 + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 86452 or 86455?\nAnswer: 86455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-194)*(13\/(-3) - -4). Which is greater: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 3*n - 2. Let x be y(-2). Suppose -5*m = 4*t - 16, -9 - 8 = -4*m + t. Suppose x = -w + 18 + m. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*v**3 - 1 - 2*v**4 + 51*v**3 - 18*v**3 - 8*v**3 - 70*v + 2*v**2 in the form l*v**4 + o + g*v**2 + t*v + j*v**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3266795, 6533591, 9800389, 13067189, 16333991, 19600795, 22867601?\nAnswer: 26134409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 5*s**2 + 6*s. What is g(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3692 divided by -6.\nAnswer: -1846\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.09 + 9.09. Let g = l + -8.9. Let b be (-8)\/14 - 18\/(-27). What is the closest to g in b, 2, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*x = 25, i = x + 2 - 1. Suppose -6*z - 6 = -i*z. Let u = z - -29. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**3 - 19*w**2 - 28*w + 55. Calculate o(-10).\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.4 (b) 4 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 11*f**2 + 10*f + 9. Let l be j(12). Let w = -15 - l. Suppose -u - c + 18 = u, -2*u - 2*c + 22 = w. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + (-2*sqrt(65))\/sqrt(5))*4)**2 + (sqrt(52)\/sqrt(4)*-6 - (sqrt(1053) - ((-1*sqrt(1053) + sqrt(1053) - sqrt(1053)) + sqrt(1053))**2)).\nAnswer: -15*sqrt(13) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2*(-8)\/(-10))\/((-12784)\/255 + 50). Calculate the highest common factor of s and 18276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g + 76. Let s be d(0). Suppose -s - 2 = -w + 4*z, 2*w = 4*z + 176. Suppose -4*r + w + 66 = 0. List the prime factors of r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/680 and -33\/17840.\nAnswer: 303280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-70))\/(1\/(-8)). Let a = 19\/140 + k. Let d = -0.3 - -0.4. What is the nearest to 0 in 0.5, d, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 + -77. Let o be 58 - ((-4 + 0)*a + 2). What is the highest common factor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-378)\/(-5))\/(-14))\/(-1*(-2)\/(-10)). What is the nearest to 0.3 in 2\/19, -4, j?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197 - 12 - b + 31 + 2*b - 3*b**2.\nAnswer: -3*b**2 + b + 216","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 586*t + 3128 = 587*t. Let n be t*(-1 + (-76)\/(-16)). What is n rounded to the nearest one hundred?\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 0.2, 0.5, 0, 1.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1226 > -1226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 - 10*l**2 + 9*l + 8. Let j be b(-10). Let w be (-2)\/(-3)*j\/(-12). Let s = w + 455\/9. What is the nearest to -1\/2 in -2, 0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 4. Let w be z(6). What is the greatest common factor of w and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 7. Suppose 2*u + x*u - 3*j = 5608, 0 = -3*j. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6864\/1014)\/((-16)\/104)*((-3)\/1)\/(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**4*f**(-3\/8))\/(f**(-1\/10)*f**(3\/2))*(f\/f**(-1)*(f*f\/(f*f*(f*(f\/(f*f**(-8)))\/f)\/f)*f)\/f)\/(f**(-2\/9))**(-4\/7) assuming f is positive.\nAnswer: f**(-4793\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -14*k**2 - 578*k - 5248. Give f(-19).\nAnswer: 680","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 10*t**2 + 16*t + 16. Suppose 304 = 9*j + 10*j. Let r(b) be the second derivative of -b**4\/4 - 5*b**3\/6 - 5*b**2\/2 - b. Give j*r(f) + 5*g(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**4\/12 - j**3\/6 - 36*j. Let h = -4 - -2. Calculate the remainder when 22 is divided by z(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1520 and 20805?\nAnswer: 332880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 169872691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + w = -7, 0*w = 5*n + 2*w + 32. Find the common denominator of n\/8 - 68\/(-1136) and 1.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 9*w**2 + 9*w - 9. Let l = -22958 - -22959. Determine g(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 times -265536\nAnswer: -8762688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 at least as big as 7117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 1 + 9\/(-1). Let p be (-8)\/(-3)*(-36)\/(-8). Let m = p + j. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 65656 + -427?\nAnswer: 65228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/6 - 1303*i\/6 + 217.\nAnswer: (i - 1302)*(i - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1222 or -1220?\nAnswer: -1222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 823 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -5*o - 47, 96*o - 2*s = 93*o - 25 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 201293 to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 24*c**2 - 27*c - 60. Let h be f(-25). Let v = h - -12. Solve -v*p + 4 = 2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 131 - 49. What is the units digit of s\/((-4)\/(-6)*3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(117) - (sqrt(117) + 1*sqrt(117))*1 - (-2*-2*sqrt(117) - sqrt(117)))\/((sqrt(576)*-1 - sqrt(576))*-1))**2*5.\nAnswer: -65\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43864 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2850 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 46385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/3)\/(13\/(-39)). Let p = 73 - -278. Suppose -349*v = -p*v - 6. Is a bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3871*o - 3745*o + 2*o**2 - 26 + 122 - 5*o**2 + 168 = 0. What is o?\nAnswer: -2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 286 - 121. Suppose -x - i = -6*x. Let u = 47 - 30. Calculate the remainder when x is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -212.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 3*d - 36, 2*c - 2*d = 1912 - 1936 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -56*r - 6047. Give j(-89).\nAnswer: -1063","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a\/(a**(-2\/15)*a)*a)*a*a*a**(-5\/2)\/a*(a**(-2\/3))**(-5\/2)*(a**(-1\/12)\/a*a\/(a\/a**(-2\/7)*a))**4 assuming a is positive.\nAnswer: a**(-661\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 368 + -5?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -41 - o + 55 - o. Let n be j(6). Determine u, given that -2*u**5 - 3*u**4 - 2*u**3 + n*u**4 - 3*u**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10142380?\nAnswer: 2, 5, 507119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1266 - -1486.8. Let k = -271 - -27. Let s = l + k. What is s rounded to zero decimal places?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -11*k - 4*k - 5*k + 38*k + 31 - 15*k. Calculate b(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3867755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**2 + 969*y - 22350 = 0. Calculate y.\nAnswer: 25, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 12804\nAnswer: 6402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2464455 - 14.8444.\nAnswer: 2464440.1556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h**5 + 0*h**5 + 4*h**5 + (3*h**4 - 3*h**4 + h**4)*(13*h - h - h) + (-2*h + 5*h - 2*h)*(2*h**4 - 2*h**4 + 2*h**4) + h**3 + 3*h**5 - h**3.\nAnswer: 15*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2363726111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 + -0.4. Which is the closest to i? (a) -2 (b) -0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47814.46 millennia to years.\nAnswer: 47814460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*f + 4, 5*f + 3*s - 1 = 15. Let m be (-4)\/5*(-15)\/f. Find the third derivative of 3*n**6 - 10*n**6 - 2*n**2 + 4*n**m wrt n.\nAnswer: -360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 2.05819?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 + -18. Suppose -16 = -5*p + k. Let x be -16 + p + 6 + 0. Solve w = -x*w + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*c - 115*c + 73*c + 19 - 20 to the form a + h*c and give h.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 817\/(-285) - (-2 + -1).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2\/3, -0.3, -0.061, 0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 2:22 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(8\/9)*g*g**(-4\/11)*g assuming g is positive.\nAnswer: g**(349\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-174)\/(-16) - 16\/(-128)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 16 = 2. Suppose t*v - 7599 = 1986. List the prime factors of (2\/6)\/(15\/v).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 4, -6, -0.5, -3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*z - 2248 = z, 0 = -5*z + 20. What is the second derivative of -452*r**3 - 26*r**4 + a*r**3 - 24*r wrt r?\nAnswer: -312*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (-50 - -27) - -18.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -r**6\/120 + r**5\/12 + 5*r**4\/24 + r**3\/6 + 2*r**2. Let s be l(6). Let z = s + 7. Put -2, -0.4, z in ascending order.\nAnswer: -2, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 e, and 2 r when four letters picked without replacement from riyyereuiiiyrr?\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 17 + 19 = -2*k, 2*k = 4*v - 64. Put -5, 4, v in decreasing order.\nAnswer: v, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4403667000 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 5*t + 4. Let c(k) = -k**2 - 12*k + 7. Give -3*c(a) + 5*o(a).\nAnswer: -2*a**2 + 11*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -16275 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 15180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15434879 a multiple of 3963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2*v - 36*v - 3 as j*v + x and give j.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 636, 0, 3, 1 in descending order.\nAnswer: 636, 3, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 328701012?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -13935 divided by 16\nAnswer: -13935\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/19, -18, 41, -2\/3, -2\/5, -1\/92?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + (-717)\/243)\/(2528\/(-1896)).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 22*h - 2. Let w be r(-2). Let l be 6\/10 + 4433\/(-155). Let c = l - w. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 9*a**3\/2 + 3*a**2\/2 - 360403*a. Let u(f) = -f**2. Let n(y) = -4*y**2. Let q(d) = n(d) - 3*u(d). Give r(q(j)).\nAnswer: -27*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 79.19217 kilograms?\nAnswer: 79192.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -58 + 58. Suppose k = -2*l + 76 + 558. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -490*n = -419 - 561 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -19934 (base 14) to base 11\nAnswer: -44860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -687 = -14*z - 631. Factor 0 + 16\/7*v**2 + 0*v + z*v**3 + 12\/7*v**4.\nAnswer: 4*v**2*(v + 1)*(3*v + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 29 + 9. Let u = n - -17. Which is smaller: u or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*h**2 + 148*h**2 + 182*h**2 - 228*h**3 + 69*h**2 + 226*h**3.\nAnswer: -2*h**3 + 449*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(147\/7) - (-2)\/14. Let a = -1.6 + 2. Put -1\/5, g, a in decreasing order.\nAnswer: a, g, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*z**3\/6 - 154*z**2\/3 + 2*z\/3 = 0. Calculate z.\nAnswer: -2, 0, 2\/155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 66816637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6955 = 7991 + 875. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -937 - 18?\nAnswer: -94f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - sqrt(119)*5)*-4 + sqrt(119)*3*2)\/(sqrt(7)*2*4 - sqrt(77)\/(sqrt(110)\/sqrt(10))).\nAnswer: 22*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 0.93078535589?\nAnswer: 0.63078535589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*d**3 - 1 - 7 + 7*d**3 + 8*d**2 + 4*d.\nAnswer: -4*(d - 2)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 170 and 818?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -0.0008 (c) 3\/5 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j*l*p - 10*j*l + 8*j*p + 3*j + 4*l*p - 3*p wrt l.\nAnswer: 3*j*p - 10*j + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r**2 + 2 + 16*r**2 + 6*r**2. Let a(p) = 1. Let g(f) = 2*a(f) - b(f). Let y(j) = -2*j**2. Give g(y(l)).\nAnswer: -104*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**3 + c - 1. Let a = 3 + -2. Let o be r(a). What is the units digit of (-4 + o)\/((-2)\/18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26129, 26096, 26059, 26018?\nAnswer: 25973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/111780*-1060 + (-91)\/117\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -2 - (-2 - (0 - 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**3 - 2*u**2 + 14*u + 5. Let s(g) = -2*g**3 + g**2 - g - 2. Give 2*n(f) + 6*s(f).\nAnswer: -2*f**3 + 2*f**2 + 22*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 113*u - 789. Let p be c(7). Solve -4 = -p*g + i, -11*i = 2*g - 10*i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -385 + 386. Let z = 1 + -2. What is the nearest to 0.2 in f, z, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 + 17*t + 79. What is i(-9)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**10*g**(-2\/41) assuming g is positive.\nAnswer: g**(408\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 146521320 and 40.\nAnswer: 146521320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3\/5 + 12*o**2\/5 - 24*o\/5 - 32\/5.\nAnswer: 4*(o - 2)*(o + 1)*(o + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + r - 20 = 0, -5*v = 136390*r - 136391*r + 32 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -25.7 and -43.536095.\nAnswer: -69.236095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 110\/199387 or 0?\nAnswer: 110\/199387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1161, 1214, 1311, 1452, 1637?\n\"Answer: 22*h**2 - 13*h + 1152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - ((-110)\/24 - 5\/(-6)). Suppose h**2 + 1\/4*h**3 + o*h + 0 = 0. Calculate h.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49\/(-441)*0\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, 3030.\nAnswer: -8, -3, 3030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l - 4. Let m(v) = -v**2 + 10*v + 20. Let b be m(11). Let n be d(b). Solve 0*s + n = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*y + 65 = -155 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 6*g + 8. Suppose 0 = -0*u + 4*u - 4*a - 36, -2*u = 2*a - 6. Let m be s(u). Suppose -10*b + m*b = -266. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2542741*u**2 + 2721991*u.\nAnswer: 5085482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 495 = -6*t. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -12, 0 = 2*x - 0*x - 5*c - 37. Suppose 5 + x = g. Calculate the remainder when g is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2778 or -680?\nAnswer: -680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m + 207. Let s be q(-47). Solve -4*v + j - s = -17, -5*j = 3*v - 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -712000 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 1. Let h(c) = c + 1. Give -2*f(j) + 3*h(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 1:39 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 o when two letters picked without replacement from {o: 2, z: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p - 15. Let r(v) = 4*v + 8. Let h(t) = 3*m(t) + 5*r(t). Let j be 2\/(-10) - (-26)\/5. Let a be h(j). Let b(k) = -k**2 + 3*k - 1. What is b(a)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 136*r + 17 + 64*r - 36 + 65*r + 0.\nAnswer: -7*r - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -47, -64, -81, -98?\n\"Answer: -17*m - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o = 18*o - 90. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 748?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2184*q = 862*q + 1070*q - 1512 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20.19 - 19.19. Which is the nearest to m? (a) -2.5 (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -591.\nAnswer: 236.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vik when three letters picked without replacement from {s: 2, i: 1, v: 3, n: 1, k: 4}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 98 (base 15) to base 12\nAnswer: bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = v - 2*v + 8, -2*v - 4*a + 16 = 0. Is v >= 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 0*y**6 + y - 17\/105*y**7 - 2*y**2 + 29\/24*y**4 + 0*y**5 + 0*y**3 + 0. Find the second derivative of f(b) wrt b.\nAnswer: -408*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7089 - -7088.9994267. What is z rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 20718264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105 - -104.09. Let u = i + 0.41. Which is the nearest to 1\/2? (a) u (b) 2\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1574*w**2 - 54*w**2 - 7413*w + 7315*w wrt w.\nAnswer: 3040","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 4935 = 150. Calculate the greatest common divisor of 10 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 11*m**7\/42 + 7*m**3\/3 + 5*m. Find the second derivative of b(s) wrt s.\nAnswer: 220*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - f = 15, 4*f = 4*n + f - 25. Let u(h) = -20*h - 27 - n - 2. Is u(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 219, 4, -13, -1, 5, -3.\nAnswer: -13, -3, -1, 4, 5, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (10 - (23 + -6 + -11))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 - 41. Suppose g*n - 179 = -2*z, 0*n + 122 = 2*n + 4*z. Is 58 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33394 + -22421. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1 (b) -3 (c) 1194\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)*(q\/q**(3\/7))\/q*((q**(-1\/5)*q*q)\/q*q*q)\/q**(-3\/5))**(1\/4) assuming q is positive.\nAnswer: q**(69\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 45*d**2 + 13*d - 1665. Let f(t) = -11*t**2 - 3*t + 410. Give 13*f(s) + 3*z(s).\nAnswer: -8*s**2 + 335","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*f**2 - 860*f**2 - 19*f**2 + 208*f - 208*f - 2378*f**2.\nAnswer: -2983*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2151140.57 and 0.1?\nAnswer: 2151140.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59968329 divided by 3.\nAnswer: 19989443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 4531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 777 is divided by 275?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 2 + (-6 - -4) - 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/j**1))**(-18)\/(j*j**(-1)*j*j)**3 assuming j is positive.\nAnswer: j**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = -5*b + 186. Let h = 86 - 45. Calculate the remainder when h is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3810368181 to the nearest integer?\nAnswer: 1562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*m + 5. Suppose -4*j = o - 19, 0 = -3*j + m*o - 5*o + 18. Suppose -f - f + j = 0. Solve f*v + 0*v - 6 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -378 + 387. Let t(u) = 2876*u - 47. Is t(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 + 2*k**3 - 4*k**2)*(-12436*k - 2838294 + 2838294).\nAnswer: -24872*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*l**2 - l - 56?\nAnswer: -4*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3877510 at most as big as 3877510?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 4*g - 2. Let n be a(-2). Suppose -m + 2 = -2, 16 = 4*w + 3*m. Differentiate -n*s + w + 5*s - 2*s with respect to s.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 14*i = 115, 3*q - 4*i + 6169 = 6114 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14947 + 52149 + 13792 + 58240 = 2046*n for n.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -726*s + 725*s. Which is the nearest to -12? (a) -2\/3 (b) 9 (c) s (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-11 + (47 - -10) - 13) + -2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -16 + 2 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 9*c - t + 1 = 0, 3*t = -c - 13. Let k(y) = -y - 1. Let r(i) = 4*i + 9. Let l(d) = c*r(d) - 5*k(d). Determine l(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 210 = 12*y. Let 85*z + 105*z**3 + 23*z + y*z**4 + 185*z**2 + 12*z + 20 = 0. What is z?\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 times -0.4?\nAnswer: 55.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 2\/9, 0.03, -15, -0.5?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 1\/18*v**3 - 1\/90*v**5 + 1\/336*v**8 - 1\/60*v**6 + 1\/24*v**4 + 0 - 5*v**2 + 1\/630*v**7 + 0*v. Let o(d) = 0. Calculate d.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(3500)*2)\/(4*sqrt(343)*1*-4).\nAnswer: 15*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30.06 + 6.06. Let u = 11 - 8. Let v = u + -2. Is p < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 20*b**2 + 110*b - 142. Give h(24).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 7*p + 11 = 0. What is the lowest common multiple of 7 and p?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) -4\/3 (c) -4 (d) -18 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 181 + -135. List the prime factors of c.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 5*l - 1152 = -1143, -15 = 4*d + l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 34 + 70 + -127 + (37 - 0)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 - -25. Which is the third biggest value? (a) 0.12 (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 930, 926, 920, 912, 902, 890?\n\"Answer: -u**2 - u + 932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -16.14+0.181\nAnswer: -15.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/16*(-112)\/(-189)*12\/16?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l\/l**(1\/4)*l)\/(l*(l\/l**4*l)\/l))\/((l*l**(-1))\/l**(3\/2)) assuming l is positive.\nAnswer: l**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((4 + -4)*-1)\/2. Suppose d*o + 20 = 4*o. Solve -p = o*t + 3, 3*t - 3 = 6*t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w - 30 = -0. Is w >= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/7 + 4747\/329\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11890)\/(-40) - 3\/(12*1). What is the greatest common factor of 33 and o?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 217*j**2 - 419*j**2 + 205*j**2 + 19*j**3 - 3*j - 12 to p*j**3 + c*j + u + g*j**2 and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t**2. Let s(m) be the third derivative of -m**5\/12 + 7*m**2. Give s(l(i)).\nAnswer: -80*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7332*d + 10224*d = -2622*d + 2562606 for d.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 9:06 PM?\nAnswer: 178","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by 254702.\nAnswer: 13\/127351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 6 + 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j + 3*j - 73289 + 146587 - 73298.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -14938.276 to the nearest 10.\nAnswer: -14940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x + 17*x = 1364. Calculate the least common multiple of 4 and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*b - 118*b**3 + 363\/2*b**4 - 2*b**2.\nAnswer: b**2*(3*b - 2)*(121*b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**2\/9 + 62264*c\/3 - 484600712 = 0.\nAnswer: 46698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (606*f**2 - 220*f**2 - 250*f**2)*(2 + f - 2 + (3*f - 3*f - 2*f)*(6 - 1 - 2)).\nAnswer: -680*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -181.1 + 187.1. Which is the biggest value? (a) -0.4 (b) t (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 7121945431 and -34.\nAnswer: 7121945397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 23*y. Let z be g(23). Suppose 4*r - 4*j = 16, 3*j = -z*j - 3. Suppose -r*l = 14 - 59. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -152047 - -233024. Suppose 8977 - h = d. Round d to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 + -17. What is the remainder when o is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 16 = -4*t, 0 = -5*h - 4*t - 8 - 3. Let u(m) = 5*m**2 - m - 2. What is the tens digit of u(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -20*v**2 - 592*v - 38642. Let z(f) = -9*f**2 - 294*f - 19321. Let k(q) = 4*g(q) - 9*z(q). Factor k(a).\nAnswer: (a + 139)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -1\/22*a**4 + 0*a - 11 + 2\/11*a**2 + 2\/33*a**3. Determine g, given that o(g) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 4*d**4 - 688*d**3 - 3512*d**2 - 4944*d - 2124 = 0.\nAnswer: -3, -1, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) + sqrt(15) + sqrt(30)\/sqrt(2)*-4)\/(sqrt(605)*1)*2 + -5)*-5.\nAnswer: 20*sqrt(3)\/11 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4*o + 30. Let j be u(7). Suppose -j*g = -10, 59 - 330 = -3*x + g. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 1. Let r(i) = 20*i**3 + 4. Calculate 4*d(t) - r(t).\nAnswer: -24*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 10:19 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 34589 - -6?\nAnswer: 34594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from {a: 1, z: 1, n: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2159 and 459.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.4 (b) 2 (c) 249\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -19 + 20 + -2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 10:33 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2\/9*d**3 + 0 + 8\/9*d + 0*d**2 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-13)\/(f*f\/(f\/(f**(-1)\/f))*f) assuming f is positive.\nAnswer: f**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 13*g**2 + 2*g + 161. Let u(d) = 28*d**2 + 3*d + 323. Let v(z) = 7*t(z) - 3*u(z). Let a be v(31). Round a to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 162 and 20?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 576, 4571, 15410, 36513, 71300, 123191, 195606, 291965?\nAnswer: 415688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1096*k - 908*k = 8504 - 420 for k.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-2))\/(-119 - -121).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5*(-1 + sqrt(63) + -5 + sqrt(1008) + 2))**2*5*3.\nAnswer: -33750*sqrt(7) + 594000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 2. Factor g*z**2 - 2*z**3 + 3*z**3 - 4*z**3.\nAnswer: -3*z**2*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 4*f**2 - 3*f. Let m be r(3). Suppose m = -0*u + 3*u - 9. Suppose -q = u*q - 120. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 - 46. Which is smaller: -5\/6 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u\/u**1)*u)\/u)**(-21)*(u**4*u)\/(u\/(u\/u**(2\/11)*u)) assuming u is positive.\nAnswer: u**(-398\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 84780767 to the power of 1\/3, to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*v, -5*w - 5*v - 67 = -92 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -174, -359, -620, -957, -1370?\nAnswer: -1859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 17 + -37 - -80) + -10 + (-5 - -1)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 25*z**2 + 339*z - 2212. What is m(7)?\nAnswer: 1386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 8:09 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39058 and 3923674.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -281 (base 9) to base 7.\nAnswer: -454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 238 and 4874142?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 5 and -2\/8665 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27*50\/4050*51?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1 - (-2 - -8)) + -6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -2*h + 1, 0 = 3*a + 2*h + h for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 225 and 600?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96639 is divided by 241?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1598.243 + -1494.29. Let k = -126.9 - -22.9. Let r = k + l. Round r to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273727186?\nAnswer: 2, 19, 23, 107, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1e71d (base 16) to base 13\nAnswer: 449b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*z + 215 = 864 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 1 + 5)*(-3*g**4 + 7*g**4 - 2*g**4) + g**4 - 3*g**4 + 4*g**4 - 9*g**4 - 16*g**4 - 5*g**4 as n*g**4 + h*g + y + l*g**3 + k*g**2 and give n.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28162 divided by 1.\nAnswer: 28162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 165462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-9) - 18\/(-27). Let u(j) = 140*j + 3. Let b(a) = -47*a - 1. Let w(x) = 8*b(x) + 3*u(x). Is w(n) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 20\/(-15) + (-100)\/(-12).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 220.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 2, 5, -0.1 in increasing order.\nAnswer: -0.1, 1\/4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 18964596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 14*t**2 + 5\/24*t**4 + 0*t**3 + 0 + 0*t. Let k(m) = -4*m. What is k(j(x))?\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 43*r**2 + 353*r + 150. Determine m(-50).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -4878 (c) 1\/3 (d) 1\/2 (e) 53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162440 is divided by 162384?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2637 - 2624. Let c(y) = 4*y**2 + y + 4. Let n(a) = 9*a**2 + a + 9. Determine h*c(k) - 6*n(k).\nAnswer: -2*k**2 + 7*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/3)\/((-4)\/(-66)). Find the common denominator of (0 - 2)\/(-2) + 6\/28 and (-262)\/(-12) + (-14 - h).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2113558*f + 1 + 2113559*f - 1. Let a(s) = 728*s. Determine a(u(w)).\nAnswer: 728*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1224)*3 + sqrt(1224))\/sqrt(2)*5 + 0.\nAnswer: 5 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (3255\/1240)\/(3*3\/72) and 55.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 112*m - 19. Let o(i) = -353*i + 57. Determine -6*o(x) - 19*v(x).\nAnswer: -10*x + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -97*u + 11223 - 11223 as v*u + q and give v.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2178774 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5012 + -4535. What is the highest common factor of w and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = t + 26, -5*t + 6*t + u = -6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 8. Let n(z) = 3*z**2 + z + 2. Let a be n(t). Let u = a + -45. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from ffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -162 in 3\/4, -0.4, 0.04, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 10*u - 8. Let o(a) = -a**2 + 11*a - 9. Let c(p) = 2*m(p) - 3*o(p). Suppose -h + 75*n - 70*n = -7, -5*n + 53 = 4*h. Give c(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 plus -100834758?\nAnswer: -100834726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/239330 and 31\/1743690?\nAnswer: 12205830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(((q\/(q\/q**24))\/q)\/q)*q*q\/(q\/((q\/q**(1\/3))\/q))*q*q)**40 assuming q is positive.\nAnswer: q**(-2200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, h: 3}. Give prob of sequence hh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5447*o + 1459786. Give x(268).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*((-11)\/22)\/((-16)\/10).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18060553 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001101110 - 10?\nAnswer: 111001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -1422, -5184, -12488, -24510, -42426?\nAnswer: -67412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 9. Let g = 3.999965 - c. Round g to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -149571 - 15?\nAnswer: -149586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 1, 5, -0.03, 673, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 4. Let b be (-3)\/(-2) - 150\/(-12). What is the lowest common multiple of 10 and 1*a*63\/b?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95.3 + 95. Which is the closest to 0.1? (a) 0.4 (b) -1\/6 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 6:30 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 8:32 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 811f89 (base 16) to base 14\nAnswer: 11a3c81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7784, -15567, -23350, -31133?\n\"Answer: -7783*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2*f + 4, 0*q - 5*f = q + 18. Suppose -d + u = -q*u - 7, 0 = 3*d + 2*u - 10. Which is the nearest to -0.1? (a) d (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-36)\/(-2)*(-48)\/18. List the prime factors of (2\/(-4))\/(1\/t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 12:27 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 - 5*w**2 - 9. Let g(x) = 4*x**3 - 19*x**3 + 12*x**3 + 4*x**3 + 4 + 2*x**2. What is 2*c(i) + 5*g(i)?\nAnswer: i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m. Suppose 0 = -h + 3. Let i(y) = -2*y**2 + 2*y**2 + h*y**2. Determine a(i(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -235778 or -3772453\/16?\nAnswer: -3772453\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 929544206776 and -2.35.\nAnswer: 929544206773.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 35*q**2 + 47*q + 47. Calculate y(-1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 109*k - 197 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from {t: 7, y: 5, h: 3, b: 4}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -4 + -2 + (63 - 30) + 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 2*n**2 + 2*n - 2. Let i be f(-3). Solve -z = -0*z + i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189714.\nAnswer: 2, 3, 7, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 104*m**4 - 97*m**2 + m + 107653?\nAnswer: 1248*m**2 - 194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 7:36 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 - -29. Calculate the remainder when 2 + (1\/j - -11) is divided by 4\/(-5)*(-20)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-49)\/5 - (-6)\/(-30). Let z be 6\/f + (-46)\/(-10). Suppose -h = z*h - 15. Solve -p = -h - 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 276977\/70218 - 1\/11703. Let m = -17478 - -209593\/12. Calculate the common denominator of h and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o. Let x(d) = -7*d. Let j(i) = 9*m(i) + 4*x(i). Let p(q) = -20*q. What is j(p(s))?\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*s - 30 = -42*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-81 - (-4 - 5))) + -8 + -3?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51562744*f**3 - 108433366*f**2?\nAnswer: 309376464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -297727?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 57370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 38.5932 from -23266.\nAnswer: -23304.5932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6336, 25305, 56908, 101145, 158016?\nAnswer: 227521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-212)\/20 + -18 + 29.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 10:07 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 54 = 2*g, -37 = -4*g - 5*t + 71. Let n be (-20)\/(-14) - 24\/56. Calculate the remainder when g is divided by 42\/15*(4 + n).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41369 - -41381. Solve 398*g = 401*g - t for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(104)*6 - sqrt(104))\/sqrt(8) - (2*sqrt(156)*-1)\/sqrt(12).\nAnswer: 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2336, 2340, 2344, 2348, 2352, 2356?\nAnswer: 2360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 30 = -2*z. Suppose -4*j + z = -3*j. Let t = -12 + j. Let s(k) = -k**3 - 6*k**2 - 3. Determine s(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 135914?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1250*k**3 + 221*k wrt k.\nAnswer: -7500*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 4. Suppose -45 = -32*k + 23*k. Suppose k*i = -152 + 177. What is the biggest value in i, -3, m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -155 - -13?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25.48 - 32.48. Sort -1\/7, 0.3, -0.017, a in decreasing order.\nAnswer: 0.3, -0.017, -1\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401 is divided by 81.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -745*r**2 + 4. Let n be d(2). Let z = -5597 - n. Let p = -1162 - z. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 + 1384*i - 119716.\nAnswer: -4*(i - 173)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56573\/4 + -14167. Let k be (-2)\/(-2) - (7 + -4). What is the common denominator of 125\/(-6) + (-3 - k) and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14, 46, 98, 164, 238, 314?\n\"Answer: -y**3 + 16*y**2 - 9*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -27\/13, 18, -3\/2, 1\/9, 0?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 17\/18, -6, 150 in decreasing order.\nAnswer: 150, 17\/18, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(-5\/2)\/q)\/((q\/(q**(3\/13)\/q))\/q))\/(q**(-8)*q\/q**10) assuming q is positive.\nAnswer: q**(383\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -277*g - 2. Let q(w) be the first derivative of -4*w**2 - 8326. Calculate n(q(d)).\nAnswer: 2216*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 380\/57*(-241203 + 3). What is r rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -31. Let n = -15.1 + u. What is the nearest to n in -4, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.021509616 rounded to 0 decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s + s + 4*s + 6*s**2 - 3*s**2. Is 5 a factor of f(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2043033513 and 3282.\nAnswer: 1641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**2 + 590*t - 7*t**4 - 2 - 597*t - 1 wrt t.\nAnswer: -84*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 142 - 154. List the prime factors of 21290\/50 - s\/10.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-24))\/(13\/(143\/11))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-185))\/(((-3)\/(-18))\/((-40)\/120))?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5370564 and 47740?\nAnswer: 2067667140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/15*(-15)\/6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f**2 - 13*f**2 + 2*f**2 - 408342 + 3*f**2.\nAnswer: 2*f**2 - 408342","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.248 + 9.852. Let d = z + -10. Which is the closest to -2? (a) d (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4231592*n + 88 = -4231596*n for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -11*g + 109. Let z be b(18). Is z <= -87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -16*p**5\/9 - 916*p**4\/9 + 940*p**3 + 25612*p**2\/9 - 25340*p\/9 - 2600\/3 = 0?\nAnswer: -65, -3, -1\/4, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 1. Suppose -3*g = -5*a + 3, 2*g - 3*a + 0 + 2 = 0. Let f(p) = -2*p**2 - 6*p - 10. Calculate g*f(y) - 6*u(y).\nAnswer: 2*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5803 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*a**3 - a + a - a**2 + 178*a**3.\nAnswer: 16*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of t**2\/2 + 8*t + 7. Let f be k(0). Suppose -4*s + 12 = -f. Calculate the remainder when 12 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2805?\nAnswer: 3, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3815159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - t + 31. Let s(r) = -2*r - 15. Let d be s(-12). Suppose -4*a = -d*a. Is x(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12025.4 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m + 238 - 238.\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4912 = 4*d, 5*l + 2977 + 712 = 3*d. What is d rounded to the nearest ten?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*c, -5*p = 5*c - 7 - 3. Suppose j + 88 = 4*v, -4*j + p*v - 295 = 6*v. Let s = -73 - j. Solve 2*b = -s*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {v: 5, y: 5, d: 5, i: 2, g: 2, p: 1}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1824 is divided by 440.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.11 from 0.034.\nAnswer: -0.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 277*w**2 + 682*w**2 + 174*w**2 + 1013*w**2 + (-2 + 2 + 3*w)*(0*w + w - 2*w) as a*w**2 + f*w + d and give a.\nAnswer: 2143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24536 = -15*a + 2239. What is the highest common factor of 210 and a?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 216*d**3*o**2 - 87*d**3*o + 847486*d**3 + 1436*d**2*o**2 - 6*d*o**2 + d wrt o.\nAnswer: 432*d**3 + 2872*d**2 - 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 122\/5 - 25. Let x = 99 - 98.8. Which is the third smallest value? (a) 2\/7 (b) x (c) w (d) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*o - 333 = 0, w = -6*o + o + 117. Suppose -4*n + 2*n + w = 0. Suppose n + 50 = 2*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122110 + 21001010?\nAnswer: 21200120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 591361 to the power of 1\/2, to the nearest integer?\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - (-40 - -17)) + (73 - (-16 + 13))\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(686)*1 - (sqrt(686)*2*4 - sqrt(686)))\/(-4*1*sqrt(72) - (-4*-2*sqrt(72) + sqrt(72))))**2.\nAnswer: 8575\/6084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2. Let n(h) = -65*h**2 + 263*h. Determine n(i(z)).\nAnswer: -65*z**4 + 263*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -6. Let s be (6\/(-8))\/(231\/(-1232)). Put 0, w, 1, s in ascending order.\nAnswer: 0, 1, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g**(-10))\/(g\/g**(-5\/2)))\/(g*g*((g\/(g\/(g\/(g**(4\/5)\/g))))\/g)\/g*g)**(5\/16))**(2\/71) assuming g is positive.\nAnswer: g**(-195\/568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1378 is divided by 92?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 103727115*k + 460694548 wrt k.\nAnswer: 103727115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/53576 and -13\/3256.\nAnswer: 589336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4*h + 16, -4*h - 5*n = -4*n + 18. Calculate the lowest common multiple of 15 and (h\/(-6))\/((-9)\/(-270)).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = d + 3*d. Suppose 31 = l - d. Let m = 91 + -73. Calculate the smallest common multiple of l and m.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -82 - -85 - (2 + (-2 - 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -223*(-23 + 6) + 6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5818946239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 87.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 11*q**2 + 2*q + 14. Let p be g(11). Let v be p\/(-30)*2320\/(-6). Suppose -v = -5*u + 1231. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 3 = -7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1629*m - 1567*m = 2914 for m.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 240506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 6:49 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14681 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4161*g**3*u*z**3 + 100*g**3*u*z**2 - g**2*u*z**2 + 2*g**2*u + 3*g*z**2 - 69*g*z + 104*z**3 wrt g?\nAnswer: -24966*u*z**3 + 600*u*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00296759098 rounded to six dps?\nAnswer: 0.002968","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/21274323 and -40\/3.\nAnswer: 21274323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5.74535 - -0.19\nAnswer: -5.55535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 + 5*n.\nAnswer: 5*n*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 38930*d + 35665*d - 84247*d as i*d + k and give i.\nAnswer: -9652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*b + 44*b - 31 - 19*b)*(-b**4 + 2*b**4 - 2*b**4) - 2*b**2 + 2*b**2 - b**5.\nAnswer: 2*b**5 + 31*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -40*j**3\/3 + 1. Let r(c) = c**2 - 5367*c - 5374*c + 10741*c. Determine r(v(h)).\nAnswer: 1600*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-9) + (-129)\/(-27). Suppose 2*i = 6, -p*i = 2*o - 12 - 9. Suppose -o*z + 2*z = -5. Solve -j = 4*j - z*b - 10, 3*b + 30 = -5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 9*z + 5. Determine t(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvvr when four letters picked without replacement from {r: 2, v: 17}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2652, -4.\nAnswer: -4, 3, 2652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 7. Solve c*z = -t + 6, z - 5*t + 5 = 6*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 at most as big as 185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -3. Suppose -w*y = 2*m - 22, -25 - 18 = -5*y - m. Calculate the remainder when 21 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 30*v**3 + 2 + 32*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, u: 5}. Give prob of picking 3 p and 1 u.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m - 792 = -5*m. Let f = m + 141. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 minutes before 11:01 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-12)*g\/(g\/(g*((g**(-11)\/g)\/g)\/g)))**(-16))**(-2\/33) assuming g is positive.\nAnswer: g**(-800\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 530*s + 3*s**2 + 169677*s**3 - 169709*s**3 - 530*s - 3*s**2.\nAnswer: -32*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 42, -10, 26 in increasing order.\nAnswer: -10, -5, -3, 26, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 110000000011 (base 2) in base 11?\nAnswer: 2346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ze when two letters picked without replacement from {z: 6, x: 4, e: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 214756706 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 124808?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**2 + 0 + 0)*(2*r - 6*r + 2*r)*(98 - 17 - 10).\nAnswer: 568*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*j - 48 = -129*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-182)\/18 - (19670\/441 - 45).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71673 divided by -45?\nAnswer: 23891\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1727984591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14282673*a**4 + 4*a**3 - 69*a**2 + 3*a - 117100.\nAnswer: -342784152*a + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -9*f**3 - 4*f + 2. Let s(a) = -8*a**3 - 5*a + 2. Let r be (-14 - -10) + 15\/(-21) + (-6)\/21. What is r*h(i) + 4*s(i)?\nAnswer: 13*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -71881 in decreasing order.\nAnswer: 5, -4, -71881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 7. Suppose 0 = 2*s - 52 + a. What is the least common multiple of 6 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 61*q - 33*q - 195*q - 193*q - 4*q**2 = 0.\nAnswer: -90, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - -3) + -19 + 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2279451000 to the nearest 1000000.\nAnswer: 2279000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6795026644276106 + 6795025885228761.9999754. Let z = j + 759047255. Let b = z + 89. What is b rounded to six dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*f + f - f)*(-5 + 4*f + 5) + 3*f**2 - 3*f**2 - 3*f**2.\nAnswer: -47*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 + -4341594097.79?\nAnswer: -4341594098.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -233*-1411\nAnswer: 328763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56967043?\nAnswer: 7, 8138149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 2*j = -4*l - 884, 3*j + 2*l - 653 = 0. Suppose 5*z - 79 = 3*k, -2*z + 49 + 19 = 4*k. What is the remainder when j is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1) + 2 + (-50 - -44) + -48 + 58.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -10 + (49 - (-2 + -3)) and 228.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2055323 (base 9) to base 3\nAnswer: -2001212100210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 - 4*c + 1. Let l(o) = -14*o**2 + 156*o + 6. Calculate l(i) - 6*y(i).\nAnswer: -2*i**2 + 180*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83265125 to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6708\/105560)\/((-24)\/20) and -39\/928.\nAnswer: 6496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1590311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4302 and 10.\nAnswer: 21510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*w**4 - 341264*w**3 + 2*w**2 + 273868*w + 1 wrt w.\nAnswer: 288*w - 2047584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 108 = -5*q + 771, -5*q - 5*b + 875 = 0. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 20*g + 2. Let p(v) = -160*v. Give s(p(t)).\nAnswer: -3200*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4645*m**4 - 76555*m**3 - 85845*m**2 + 76555*m + 81200 = 0.\nAnswer: -1, 1, 16240\/929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 6 = -156. Let q be (-30)\/(-5) - 3\/(-9)*-15258. Is q\/l + 1\/(-3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1375997, -2751994, -4127991, -5503988?\nAnswer: -6879985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10578, 21154, 31728, 42300?\nAnswer: 52870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = c + 2. Suppose 4*g = 2*s - 16, 2*s - c*g = -2*s + 14. What is the units digit of (16\/(-6))\/(s\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u**5 - 72*u**4 - 1071*u**3 - 585623*u**2?\nAnswer: -120*u**2 - 1728*u - 6426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4*(sqrt(2800) + -1 + sqrt(2800)*2) + -5*(sqrt(2800) + -1) + 5)**2.\nAnswer: 3080*sqrt(7) + 137321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4444 times 642.9\nAnswer: 285.70476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48067\/5 - 9613. What is the fourth smallest value in 5, c, 2\/9, -2\/9, -16?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 5683346?\nAnswer: 5683347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4193 + 8*k**4 - k**3 - 57*k**4 - k - 11*k**2 - 4194 + 10*k**2 in the form n + f*k**3 + q*k**4 + z*k + b*k**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352505*p**3 - 352504*p**3 + 546*p**2 - 546*p**2.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 339*k + 10638. Is 220 a factor of b(138)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 2*y + 1. Let f = 8 - 11. Let t be o(f). Let p(d) = -9*d + 3. Does 7 divide p(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 232 - 217 = 2*y, 51 = 4*y + f for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 37936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276828.\nAnswer: 2, 3, 17, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -25. Let o = y - -12. Let n(x) = x**3 + o - 3*x - 4 + 0 - 4*x - 5*x**2. Give n(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + -4 - 0)*2. Let z = x + 0. Is 35\/z*24\/(-30) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.1725029 rounded to 1 decimal place?\nAnswer: -74.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-3))\/(-4)*(-158550)\/(-18875).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1294*k = -1310*k + 544. Solve 0 = -k*c + 26 + 42 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1582.770988 rounded to 0 decimal places?\nAnswer: -1583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 12090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 5 - (-10 + 22 + -24 - -27).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q + 0*q + 16 + q - 3*q. Let w be v(3). Differentiate 3*x**w + 13*x**4 - 12 + 19*x**3 - 19*x**3 wrt x.\nAnswer: 64*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -228 from 24609.\nAnswer: 24837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 9*y - 16. Let s be r(12). Suppose -2*g + 2 = -5*b - 1, s = 4*b. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 3*t**2 + 9*t + 3. Is 10 a factor of u(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddggdgdgddgg. Give prob of picking 2 d.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -2*p - 11 - 7, -3*p - 7 = -2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -2. Solve -n = -t - d, t - 4*t - 4*d + 14 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000063599979 to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -1\/6*j**3 + 2*j**2 + 0 - 1\/12*j**4 - 1\/30*j**5 + 0*j. Calculate q(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -38*a**3 - 2217*a**2. Let r(j) = 7*j**3 + 444*j**2. Calculate -2*o(y) - 11*r(y).\nAnswer: -y**3 - 450*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3380018041 a multiple of 6490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*o - 21, -4*t = 3*o - 2*t + 3. Which is the closest to -0.1? (a) o (b) -0.4 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20492448 to the power of 1\/2, to the nearest integer?\nAnswer: 4527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34.1 + -39.1. What is the closest to 2 in 53, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (21 + -2 + -6 + -6 - 41)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 40 = 4*p. Suppose 3*d - 4 = -d, k + p*d = 654. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1724721 times 4\nAnswer: -6898884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 2:36 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 1:30 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12*(-2)\/(-3) + -3. Suppose o*q - 45 = -15. Let r be -3 + q\/((-8)\/(-4)). Solve 5*k - 4*w - 3 = -2*w, 5*k + 3*w - 8 = r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/12*(-12)\/(-9).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -461\/6 - -77. Suppose 0 = -434*q + 440*q. Let -1\/3*u + t*u**2 + q = 0. What is u?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 17*t**2 + 16*t + 2. Let v be r(-16). Find the common denominator of -59\/4 and 178\/4*v\/(-22).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1131 and 261?\nAnswer: 3393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 c when two letters picked without replacement from eeeetcebf?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6928050 to the power of 1\/3, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -36*k - 1. Calculate y(-1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 369*n = 367*n - 4*g - 26, -4*n + g + 20 = 0. Solve 0 = n*t + 48 - 66 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 12:18 PM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2525 is divided by 505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 545 (base 7) in base 6?\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19050 + -6900. Round h to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 849295 to the power of 1\/2, to the nearest integer?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346328810 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125981 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 + 270*n + 814. Calculate f(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 426602, 1706412, 3839434, 6825668?\n\"Answer: 426606*o**2 - 8*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.9*-25\nAnswer: 22.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(168)*2 - sqrt(168))\/(4*sqrt(42)\/sqrt(6)))\/((-1*sqrt(972) - sqrt(972) - sqrt(60)\/(sqrt(5)*2))*-4).\nAnswer: -11*sqrt(2)\/296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, d: 2, t: 1, i: 1, z: 1, y: 1}. Give prob of sequence tz.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 47753532 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -1\/5380710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)*1*3 - sqrt(300))**2 - (-4 + -2*sqrt(300))) + ((((sqrt(300)*1 - sqrt(300))*2)**2 - sqrt(300)) + sqrt(300) - (sqrt(300)*1 + 2)**2) + -1.\nAnswer: -20*sqrt(3) + 899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10944 + -4386. What are the prime factors of i?\nAnswer: 2, 3, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -286261*x**2 - 129946923 wrt x.\nAnswer: -572522*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12450.4 + -12450. Let v = 3 - 2.9. Let l = v + 0.1. Which is the closest to 1? (a) p (b) l (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12990565 is divided by 4729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7640*k*u**2 - 676*k*u - 279*k + 56*u**3 + u**2 - u - 1 wrt u.\nAnswer: 15280*k + 336*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - 29. What is the second biggest value in 5, -5, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150, 301, 446, 585, 718?\nAnswer: 845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8890 or -35557\/4?\nAnswer: -8890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 17*m + 4. Let i(f) = -9*f - 2. Determine 3*b(h) + 5*i(h).\nAnswer: 6*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1241285476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*u + 24. Let s(a) = -7*a + 2. Let n(g) = -8*g + 3. Let k(q) = 18*q - 7. Let r(x) = -2*k(x) - 5*n(x). Give u*r(p) - 3*s(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 t, and 1 j when four letters picked without replacement from wjtlltjjoljjjjl.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -493 - 696 - 115 - 242 + 2*l**2 - 4*l**2.\nAnswer: -2*l**2 - 1546","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-6 - (-4 + 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -128 + 58. Let z = i + 132. What are the prime factors of z?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*j + 7*j + 3569 - 909 = -40*j for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -152424 by 24.\nAnswer: -6351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20509 rounded to 3 dps?\nAnswer: 0.205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.44, -3, 3, -81, -4 in increasing order.\nAnswer: -81, -4, -3, 2.44, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -124\/11, -3, 2, 0, -2\/3 in descending order.\nAnswer: 2, 0, -2\/3, -3, -124\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6282\/63 + (-4)\/(-14). Suppose 9*d - 4*d - m = 0. Solve p + 4*p + d = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4 - 1 = 2*x, -3*x = -15. What is the nearest to 2 in 4, 1, s, 5\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -72679, -290688, -654033, -1162714, -1816731?\n\"Answer: -72668*u**2 - 5*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 1208158?\nAnswer: 12081580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 5*l + 5, -11*r + 4 = -15*r + 5*l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*f - 7. What is the greatest common factor of 2 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggss when four letters picked without replacement from sgssssgssgss?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 2*n + 44, -6*d + 3*n = -5*d. Let u(z) = -z**3 + 13*z**2 - 14*z + 14. Give u(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwxg when four letters picked without replacement from {d: 5, q: 1, x: 1, g: 5, w: 4}.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 79722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4321 + 2186 + 2582)*(-2*y + 3*y + 0*y)*(4 - 2 - 3).\nAnswer: -9089*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -3. Let q = 10 - j. Let g(p) = -p**2 + 2*p + 1. What is g(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.98*0.62426.\nAnswer: 1.8602948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 3*r = -72. Suppose -4*z - 20 = -r*z. Let k(p) = -p**3 + 4*p**2 + 4*p + 6. Let b be k(z). What is the second biggest value in 8, b, -1\/6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 + -65. Which is the second smallest value? (a) h (b) -4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*b**3 - 64*b**2 - 9*b + 45.\nAnswer: 108*b - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 2*b**2 + 5*b + 3. Let v be f(-4). Suppose -12 = -3*u + v. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(32\/9))\/(12\/(-24))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 592 and 629?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = d + 48. Calculate the least common multiple of d and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5677.\nAnswer: 7, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171) + (sqrt(171) + -3*sqrt(171)*-1 - sqrt(171))) - sqrt(171) - (sqrt(171) - 2*sqrt(171))*6)\/(((sqrt(81) - sqrt(81)*2)*-1)\/sqrt(9)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5 = -2*q, 5*q = -2*u + 21 - 3. Suppose 2*a - 43 = -5*f, -2 = -f + a + 1. Solve -k = j + f, 6*j - q*k = 2*j - 12 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*a**2 - 1933498*a - 9621525?\nAnswer: -6*a - 1933498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -3*k**2\/2 + 9954. Let o(y) = -75*y - 4. Let t(b) = -149*b - 7. Let m(c) = -7*o(c) + 4*t(c). Calculate m(v(h)).\nAnswer: 213*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6}. What is prob of sequence gg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 230 - 2072\/9. Let i be (3 - (-17)\/4) + -4 + -4. What is the fourth biggest value in 4, i, u, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13552 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7194222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + b + (-4 + 2 + 0)*(2*b - 5*b - 4*b) - 5*b - b + 2*b)*(0*b - 5*b + 3*b) as l*b + o + w*b**2 and give w.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 86 divided by 43\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**7\/1260 + o**5\/12 - o**2. Let q(p) be the third derivative of n(p). Let h(t) = -4*t + 2*t + 3*t. Determine q(h(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*t - 45*t + 10760 = 0. Calculate the remainder when t is divided by 71.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1894, -1922, -1950, -1978, -2006?\n\"Answer: -28*u - 1866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11186 and 3094.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-7))\/(1\/(48\/(-32))). Let o(h) = -h**2 - h + 2. Let m be o(-3). Which is the third smallest value? (a) -5\/4 (b) m (c) 0.1 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -348934.\nAnswer: -348934.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 5:03 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70*52\/(-2080))\/((-4)\/(-8)*7).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-1) + (-27)\/3. Put w, -2, 4 in descending order.\nAnswer: 4, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.847 * -7.\nAnswer: -5.929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15001560 divided by -35718?\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8567 + 8668. Solve 16*m = -z - 11 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 - (45 + -77)) + -15 + 0 + -2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u = -5*f - 10*u - 48, 9*f = -5*u - 45 - 39 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1197743524.\nAnswer: 2, 577, 518953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0*-11195.6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 514270 is divided by 6851?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 676945, 2707784, 6092523, 10831168, 16923725, 24370200, 33170599?\nAnswer: 43324928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2354*q + 1662. List the prime factors of l(-14).\nAnswer: 2, 19, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e569 (base 15) in base 12?\nAnswer: -24076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/20)\/(12*3\/18).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**15)\/w**(4\/9))\/((w\/(w*(w\/(w*w**(1\/2)))\/w))\/w)**(-2\/49) assuming w is positive.\nAnswer: w**(-6361\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (224\/(-7) + 34)\/((-2)\/(-15) + 0).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4095 + -4097. Which is the third smallest value? (a) 0 (b) 0.03 (c) k (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 48\/(-1*(2 + 2) + 108\/24). Calculate the highest common divisor of 48864 and x.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 151112 and 78?\nAnswer: 11786736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -427 - -424. Let z(w) = -w**3 + 5*w**2 + 19*w + 4. Let y be z(h). Solve -5*k = -1 - y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*(sqrt(49) + sqrt(98)\/sqrt(2)))\/((sqrt(28) - sqrt(448)*4)\/sqrt(4)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 41150030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, c: 10}. Give prob of sequence ccic.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 50 + (-21 - -52 - 80)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 - 16*s**2 + 7*s**3 - 3*s**3 - 29*s**2.\nAnswer: 2*s**3 - 45*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-nine sixths of a hour?\nAnswer: 29400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4818 - -46?\nAnswer: 4865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**4\/18 + 230*v**3\/3 - 39675*v**2 + 9125250*v - 1375. What is i in d(i) = 0?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2c + -a?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/5 and -0.231 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 9*o + 9. Let z = -179 - -158. Let x be (z + -6)*2\/6. Calculate m(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 3343?\nAnswer: 3347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axxa when four letters picked without replacement from {a: 5, x: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 392608, 785230, 1177852, 1570474?\nAnswer: 1963096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-7 + 4 - -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8056620 by -1716.\nAnswer: -4695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i*i**(4\/5)))\/i)**7 assuming i is positive.\nAnswer: i**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1192308 divided by 1.\nAnswer: -1192308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(-54))\/10*(-822)\/2329?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 14*g**2 - 2. Let s be h(14). Let y(k) = -2*k**3 + k**2 - 3*k - 2. Is 8 a factor of y(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*n = n + 252, 0 = 3*w + 3*n - 756. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 8 = 2*z, 0 = -z + 4 - 0. Let b be n + -6 + -2 + 0. Let u = b - -13. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s**2 + 1836012050 + 4*s - s**2 - 1836012049. Let h(b) = b**2 + 1 - b + 4*b - 5*b**2. Calculate -4*h(r) + 3*v(r).\nAnswer: 4*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 30261*k + 120921. Give i(-4).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -2*a**3\/3 - a**2 - 1216*a + 1183. Differentiate d(m) with respect to m.\nAnswer: -4*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65106960.\nAnswer: 2, 3, 5, 271279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/4 + 699*i - 11120.\nAnswer: -(i - 2780)*(i - 16)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)\/m*m**0)\/(m**(-4\/7)\/m*m**(-5))*(m**(-1)*m)**(3\/14)\/(m**(2\/3))**(14\/5) assuming m is positive.\nAnswer: m**(-136\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 180592828 to the nearest integer?\nAnswer: 13438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 1258357*g - 142. Suppose -30 = -3*b - 4*x, 43*b - 21 = 41*b - 3*x. Let f be a(b). What is f rounded to the nearest one hundred thousand?\nAnswer: 7600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*u = -62*u + 38*u + 45, -4*p + u - 63 = 0 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -220 or -218?\nAnswer: -218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - 3\/((-132)\/706). Let k = s - 131\/11. Find the common denominator of k and 45\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 182088458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 6*n + 7. Let w be r(5). Let x = 48 + w. Solve 5*u = 4*q + 49 - 12, 4*q + 5*u - 13 = x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5989 and 1469?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34\/5 not equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 740660 to the nearest integer?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3513*y + 7 = 3514*y - 4*i, 0 = 3*y + 7*i - 40 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1dc4 (base 16) to base 8.\nAnswer: 16704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88 - 115. Let z be (-27)\/4*36\/q. Suppose 0 = -z*w + 96 + 300. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, k: 1, c: 1}. Give prob of picking 1 i and 1 k.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001536189 rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-4 - (4 + -13) - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -11.6. Let q = l - 1. What is the second biggest value in q, -0.1, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + (-6 - 12) - (-3 + 2 + 37 + 2).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snsunnnnnununnnnnnnn. Give prob of picking 3 u.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*d**4 - 7*d**3*k + 9201*d**3 - 1501*d**2*k - 2*d**2 - 169*d*k - 2 wrt d.\nAnswer: 312*d - 42*k + 55206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14611 - 2?\nAnswer: 14606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 13128*c. Let z(f) = -3*f - 1. Calculate z(x(o)).\nAnswer: -39384*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 60444.87ml?\nAnswer: 60.44487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**5\/20 + 7*x**4\/6 - x**3 - 17*x**2 - 9*x. Does 4 divide m(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485 divided by 81?\nAnswer: 55\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x - 6. Let a(z) = -9*z - 11. Let b(g) = -3*a(g) + 7*s(g). Let y = -20 - -11. Let h(l) = 2. Calculate y*h(q) - 2*b(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, i: 7}. Give prob of sequence iii.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*x = -230 - 35 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1022*a**3 - 2*a - 986*a**3 + 3*a + (0 + 2 - 4)*(-4 - a**3 + 4) in the form m*a**3 + j*a + u*a**2 + q and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*g + 10*g + 3864. List the prime factors of g.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.077 - -0.5\nAnswer: 11.577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 26279704 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**9\/30240 - n**8\/10080 - n**7\/2520 + n**6\/360 - n**5\/20 + n**2. Let j(c) be the third derivative of o(c). Solve j(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*j - 41, 0 = 5*j - 4*i - 438 + 355. Calculate the remainder when 198 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 + 266 - (9 + 12)?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(-2*d**3 + 4*d**3 + 8*d**3)*(d**2 - 2*d**2 + 2*d**2 - d).\nAnswer: 10*d**5 - 10*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2. Let h be 10\/(-30) + (-5)\/3. Let x be y(h). Solve 2*z + x*a - 13 = -1, -5*z + 6 = 2*a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.525664m in kilometers?\nAnswer: 0.007525664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1328.71 times -1.5\nAnswer: 1993.065","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: -1*(-2)\/(-2)*(-3221)\/(-3221)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 minus -28371997581762?\nAnswer: 28371997581746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 12, -2*a - a = -5*f - 296. What is the smallest common multiple of 18 and a?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, c: 10, l: 1, z: 2}. What is prob of sequence jj?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(12\/336*(-14)\/(-4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -162 - -2323?\nAnswer: 2141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000011113 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = d - 9, -d + a - 4 = -2*d. Solve 10*h - d*h - 20 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -193 + 192.6. Let g = -0.56 - -0.48. Which is the closest to -0.2? (a) g (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z - 19. Let o(j) = 2*j - 9. Suppose -2*d - 9 = h, 2*h + 5*d + 60 = 44. Suppose -4*c + 16 + 8 = 0. Calculate c*a(v) + h*o(v).\nAnswer: -2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*f + 596 = -237*f + 86*f - 273 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 27 (b) 31 (c) 0.0266\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2180 + 2206. Solve 2*k - 373*t + m = -377*t, 4*k + t + 17 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*c = 230, g + 4*c - 115 = -0*g. Calculate the highest common divisor of 46 and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7750)\/(-13950))\/(1 - 88\/93)?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = 16*t - 25. Let a be ((-18)\/(-5))\/2*t*1. Solve a*c - 14*c = -20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -8801*w - 70386. Give b(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -16.2, -41, 12, 0.2 in increasing order.\nAnswer: -41, -16.2, -5\/2, 0.2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, -337, -4, -27?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 32*1\/(1\/4). Suppose -m = -3*o - 29. Let u = 42 - 33. What is the remainder when o is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -7*i - 6. Let q(k) = -20*k - 17. Suppose 4*n = -n - 55. Let b(o) = 63*o + 4. Let v be b(0). What is n*r(z) + v*q(z)?\nAnswer: -3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/1287451 and 14\/1989697?\nAnswer: 21886667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/36 - 38\/(-8). Calculate the highest common divisor of 45 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 + 3*y - 4. What is c(3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 710?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + (2 + -2 - -8). Suppose 4*c - h*q = 31, c + 3*q + 8 = -q. Let x(a) = -a**3 + 4*a**2 - 3*a + 5. Give x(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/77 (b) -9 (c) -0.1 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(39)\/sqrt(3) + 1 + -2.\nAnswer: 3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*(-1788)\/745.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, j: 2, q: 5, s: 3}. Give prob of picking 1 s and 1 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4*o + 39 + 34, -2*i + 3*o - 43 = 0. Suppose -28 = 2*v - a + 2, -v - 21 = a. Let z = v - i. Is 2\/13 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-2)\/18*-3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-10) + (-2232)\/310?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21404 or 21400?\nAnswer: 21400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 140*s**3\/3 + 112*s**2 - 166. Find the second derivative of r(b) wrt b.\nAnswer: 280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -792, -5, 109012 in descending order.\nAnswer: 109012, -5, -792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 2:08 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -624a98b + 1?\nAnswer: -624a98a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13425866.\nAnswer: 2, 6712933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*b = -6*b. Suppose -20 = -6*j + 2*j. Solve 8*z - j*z - 6 = b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 11*y**2 + 3*y - 12. Let d be s(-10). Suppose 0 = -4*b + d - 10. Calculate the remainder when 46 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 4:28 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 3*k + k)*(-3*k + 0*k + k)*(-4*k + 6*k + k).\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 5 + 1)*(u + u - u) - 12*u + u + 15*u)*(2 - 5 + 1 + (0 + 1 + 1)*(-1 - 3 + 3) + 3 + 2 - 3 + (2 + 0 + 0)*(3 - 2 - 3)*(15 - 3 + 6)).\nAnswer: -444*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.02328 rounded to two dps?\nAnswer: 6.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 259 + -208. Suppose -i*o = -43*o - 4224. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/5229 and -97\/57519?\nAnswer: 57519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -144*t + 2315. Calculate q(16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 + 4 - 4 + (0*b**2 - 6*b**2 + b**2)*(-84 + 45 - 291) as h*b + w + m*b**2 and give m.\nAnswer: 1649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.3, 0.3, -0.3, 0.2?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.58 - 5.58. Let p be 0 - (7\/(-6))\/1. Let y = p + -29\/30. Which is the third smallest value? (a) y (b) 1 (c) 0 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*m - 2, 5*s - 8 = s + m. Let g = -5 + 0. Which is the nearest to 3? (a) s (b) -1\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*l + 92*l - 18 = 0. Suppose -5*v = -30 - 10. Suppose -v*s = -3*s. Solve l*p + 2*o = -8, -5*p = -s*p - o + 26 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21226 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 21 = 15. What is the highest common divisor of v and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/3)\/(m\/(m*m**(-3))))\/(m**(-2\/7)*m)**(-4\/19) assuming m is positive.\nAnswer: m**(-1270\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a = -9*a - 10. Suppose 4*r + a*q - 38 - 20 = 0, q = 5. Calculate the remainder when 23 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/12*(-9)\/(-28).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-4))\/((-1195)\/1912)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -4, 6, -24, -0.0413?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j**2 + 2*j + 7. Let l(a) = -a**2 - a + 1. Let v(x) = d(x) - 3*l(x). Suppose 5*h - 107 + 87 = 0. Determine v(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 739*i**2 - 1493*i - 557192. Give k(-738).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 1 - 4, 2*n = 4*p - 2. Let k(q) = 11*q**2 - q. Let x be k(p). Suppose 39*h - 35*h - 48 = 0. What is the highest common factor of h and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3488, -7135, -10772, -14393, -17992, -21563, -25100, -28597?\nAnswer: -32048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 305, 709, 1283, 2033, 2965, 4085, 5399?\nAnswer: 6913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, c: 1, r: 2}. What is prob of sequence ggrg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 2 + -2 + 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 20*o - 8. What is t(19)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64*c**2*f**5 + 4*c**2 + 26*f wrt f.\nAnswer: 1280*c**2*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12677268553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1476500463 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-25)\/(-5) + 1\/(-1). Suppose 0 = a*z - 2*y - 456, -178 + 46 = -z - 4*y. Suppose 4*p - 144 = -p + 4*h, -4*p + z = -3*h. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (375\/(-45) - -2) + (-2)\/(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - (-30)\/(-4))*(-6)\/5. Suppose r + 4*h + 7 - 16 = 0, -3*r - 18 = -a*h. Sort 4, 3, r in increasing order.\nAnswer: r, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-10) + 174\/(-30). Let a be 16\/60*t\/(-4). Put 1, a, -1 in increasing order.\nAnswer: -1, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 6*v**2 + 11*v - 3. Let r be ((-1)\/1)\/((-7)\/56). Is l(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3901575 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**6\/105 + m**4\/42 + 10*m. Solve a(k) = 0 for k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + g - 29 = 0, -2*g + 32 = -2*w + 2*g. Let f(m) = -m**2 - 14*m + 14. Let a be f(w). Solve 2*t + a - 4 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -188*r**4 + 185*r**4 + 1678*r + 181*r - 57*r**3 wrt r.\nAnswer: -36*r**2 - 342*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3304224.000204 - 3304301. Let h = -77 - d. What is h rounded to 5 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b2d2 (base 15) in base 4?\nAnswer: -21032030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 6. Let x = -2.19 + 0.29. Let n = -2 - x. Which is greater: n or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c**4\/4 + 4*c**3 + 19*c**2\/2 - c - 1. Is k(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**5 + 4*o**5 - 5*o**5 + (2*o - 7*o**2 - 2*o)*(-2*o**2 - o**3 + 2*o**2) + (-4*o - 2*o**2 + 4*o)*(2*o**3 - 3 + 3) + 1 + o**5 - 1.\nAnswer: 7*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 880 is divided by 265?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 6:00 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 10*t + 55 = 0. Let n(m) = -4*m + m**2 - 3*m**3 + 6 + 4*m**3 + 3*m**2. Give n(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -106*g**2. Let c(p) be the third derivative of p**4\/8 + p**3 + p**2 - 3916. Determine c(k(z)).\nAnswer: -318*z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6793 less than or equal to 40765\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3023 + 33321?\nAnswer: 103010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*w + 925 = 2*w. Solve -w*h = -23*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54101954.\nAnswer: 2, 797, 33941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -215728, -430597, -645466, -860335, -1075204, -1290073?\n\"Answer: -214869*d - 859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 6:19 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 2*g + 9*h - 4*h, 5*g + 4*h = -69. Let k = 0.3 - 1.3. What is the nearest to k in -2\/11, 0.2, g?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-6) - (-364)\/21. Let s = -32 + l. Let j = -14 - s. Solve j = 4*o + d + 21, 3*o + 5 - 18 = 5*d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5412 or 7826?\nAnswer: 7826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250*g - 183*g - 13802 = 0. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.126772989 to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 80 + 106. Let r = l - -125. Suppose -2*z + 132 = 2*i, -2*i + r = -0*i - 4*z. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 42219, 168874, 379967, 675498?\n\"Answer: 42219*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 264 - 262. Suppose j*x - 187 = 503. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201, -235, -329, -513, -817, -1271?\nAnswer: -1905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14595 + -14577. What is the highest common divisor of 1428 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r - 3 + 3)*(0 + 0 - 2*r) + 3*r**2 + 2*r**2 - 6*r**2 to the form g + m*r + d*r**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -3. Suppose -11 = -h*y + 29. Calculate the remainder when 58 is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 11*y**2 - 13*y - 15. Let v = -35 + 12. Let m = v - -13. Let z be a(m). Solve -4*i - z = -9*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -12, 2*i + i + 3*p = -54. Let x(l) = 2*l**3 - 5*l**2 + 2*l - 3. Let m be x(4). Let w = i + m. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52.73 - 3.33. Let w = 22.5 - x. Let j = w + 27.181. What is j rounded to 2 dps?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(17) - 3*sqrt(2448))**2.\nAnswer: 20823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 72.9 - 214.\nAnswer: -141.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 17 - 264*m + 262*m - 70.\nAnswer: -2*m - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + -9 - (-24 - 0)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32774 by 6.\nAnswer: 16387\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1403 or 1424?\nAnswer: 1403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7385 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*t - 12. Suppose 0 = t*d - 4 - 21. Let i be -7 + 4 - (-14)\/5. What is the smallest value in d, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 37*u + 160. Suppose 5*q + 12 = 3*i + 61, 3*i + 5 = q. Put 3, q, 0, u in descending order.\nAnswer: q, 3, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v + v**3 - 5*v**2 + 3 + 5 + 3*v**4 - 10 + v**2 in the form z*v**4 + l*v**3 + h*v + r*v**2 + j and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*w + 1289 - 1313 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 8*r**2 + 9. Suppose -2*y - 5*y - 56 = 0. Determine h(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 + -40. Let f = -77 + 81. Suppose a - 2 = -f*q, -q - 4*q = -a + 47. What is the least common multiple of u and a?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 427 is divided by 69.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8001, -31978, -71941, -127890?\nAnswer: -199825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 - 684 + h**2 + 684.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.077218 to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2071 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17481 - -18081. Does 60 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 266 - 262. Suppose x = 3*g - 100 - 432, 4*x = -n. What are the prime factors of g?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 7*z - 27. Calculate the remainder when 40 is divided by z\/(-2) - 2\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -18 + 0 + 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 147963673487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/1095? (a) -2\/15 (b) 0.3 (c) -2\/7 (d) 0.6 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5488 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1075 - 164. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*a = 28*a. Put -36, -2, a, -1 in decreasing order.\nAnswer: a, -1, -2, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -115 - 4?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3531 + 3550. Calculate the remainder when u is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 7*h - 19. Let a be s(3). Suppose -4*l - 4*d = 91188, -12*d - 45615 = a*l - 17*d. Round l to the nearest 1000.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 3. Let o be h(-11). Let d be (o\/5)\/((-5)\/25). Let q be d\/18*30\/(-140). Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 + 7 = -5*g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**30\/a)\/((a**(-3\/13)*a)\/a) assuming a is positive.\nAnswer: a**(380\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15657422 is divided by 244647?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4983666023?\nAnswer: 7, 61, 11671349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118859 is divided by 5379?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2669200 and 20650.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 183517\/104005 - 582\/305. Let v = -97 - -205\/2. Find the common denominator of v and g.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -0.4, 3, -0.7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.4 + -4.2. Put -1.8, f, 1, 0.3 in descending order.\nAnswer: 1, 0.3, f, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4*y**(-4)\/y*(y**1\/y*y)**2)\/((y**(6\/7)*y)\/y*y*y**(-4)*(y\/y**(-2))\/(((y\/((y**(-2\/11)*y)\/y*y))\/y)\/y)) assuming y is positive.\nAnswer: y**(-129\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {h: 5, x: 4, o: 2, w: 8}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/6)\/(1*7\/(-112)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.07 (b) -6.8 (c) -1\/38 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 209 - 52. Suppose -b = -3*a + 5*d, 4*a - 3*d - 27 = 197. Suppose 9*f - a = 4. Calculate the least common multiple of f and 15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a decade in months?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - -9280?\nAnswer: 9287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((-8)\/(-14) - (0 - 1))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 187952.3 to the nearest one thousand.\nAnswer: 188000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4*b**2 + 4)*(0*b + b + 0*b)*(-3*b + 29*b + 7*b).\nAnswer: 132*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 2*b - 7. Give v(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, h: 1, n: 4, u: 1, k: 2, t: 1}. What is prob of sequence ha?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -364*m + 2020. Let d be t(0). What is the highest common factor of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.40027 - -0.4088. Round a to 4 dps.\nAnswer: 0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7274, -6778, -5776, -4268?\nAnswer: -2254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p + p + (-2 + 4 - 3)*(-p + 3 - 3) - 6*p + 100 - 100 + (23*p + 79*p - 9*p)*(3 - 2 + 0))*(-5 + 0 - 1 + 4).\nAnswer: -178*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472352?\nAnswer: 2, 29, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 61*a**2 + 112*a - 435. Is 11 a factor of n(-64)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12\/(-54) - (-454)\/18 is divided by 1 - (8\/2 - (29 + -19)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.65 + -74.65. Let r = o - -77. Which is the second smallest value? (a) 2\/41 (b) -6\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95\/57 + (-4 - 28\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/30 and 43\/264?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**3\/3 - 37466*p**2\/3 + 599264*p\/3 - 2396800\/3 = 0.\nAnswer: 8, 37450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y - 27. What is d(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 31734 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -56. Suppose -c = -5*p - 15. Suppose -3*y = -2*z - 923, 4*z + 15 = p*z. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**3 + 5*a**2 - 5*a + 1. Is q(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.20705 and -185.\nAnswer: -184.79295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -1803*x**2. Let d(a) be the second derivative of -a**4\/12 - 2138*a. What is h(d(k))?\nAnswer: -1803*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7014 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 212323110101 (base 4) to base 2\nAnswer: 100110111011010100010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-1\/3)*t))\/t*t**2)**38 assuming t is positive.\nAnswer: t**(152\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.1*-5.\nAnswer: -10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 minus -1.2?\nAnswer: -103.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -619058 rounded to the nearest one thousand?\nAnswer: -619000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7 + 3 + ((-54)\/(-4))\/3. Suppose j + 0*j = 2. Which is the closest to o? (a) 3 (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7237168 and 95892476.\nAnswer: 383569904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.77 + 1.13. Let c = -2.9 + b. Let z = 198 - 198.3. What is the biggest value in -3, c, z, -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhxxvxhxhx. Give prob of sequence hhv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 30 = -5*r, -r + 6 = -0*r + 5*c. Is r + -1 + 0 + 6938 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/23 - 18\/161. Let r = 0.11 - 2.11. Which is the nearest to 0.4? (a) -1 (b) x (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + 2*3*3*sqrt(1088)*-5*4))**2.\nAnswer: 23040*sqrt(17) + 564019204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = 2*g + 2*c, 441 + 147 = 4*g + c. What are the prime factors of g?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 7. Suppose 0*h = 4*h - 20. Suppose -n + 3*o = -0*n, -17 = -4*n - h*o. Suppose 0*k = 2*k - n*p - 10, -25 = -5*k - p. Calculate w(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 > -42311\/5089?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3 = 4*c + 5, 27 = 2*y - 3*c. Suppose y*x - 3*x = 672. Suppose s = -p - 2*p + 47, 0 = 2*p - 10. What is the highest common factor of s and x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -102*((-6)\/(-9) - 3\/18). Let v = 53 + -267\/5. Which is bigger: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a litre in millilitres?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -64 + 66. Let o = 3 - 0. Suppose 5*c + 22 = o*g, -17 = 4*c + 4*g + 7. What is the nearest to -1\/2 in 3, a, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 2*j + 8 = -2*r, 2*r - 3*j = 13 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, v: 4, o: 3}. What is prob of picking 2 v?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + w - 5 = -1, 3*l - 15 = 3*w. Let b = -9 + 23. Let i = l + b. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4399 - 4398. Which is the nearest to p? (a) -4 (b) -7 (c) -0.5 (d) 1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*x - 137*x + 2106 = 0. Solve -97 + 106 = x*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 5:26 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14, -11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -720 times 54724?\nAnswer: -39401280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -20*t + 8. Let a(p) = -332*p + 161*p + 3 + 164*p. Calculate -17*a(b) + 6*i(b).\nAnswer: -b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.98547 - -0.01453. Which is the fourth biggest value? (a) -5 (b) u (c) -42 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 892*p**2*s**3 - 97*p**2 - p wrt s.\nAnswer: 2676*p**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -558 = -2*g + 866. Suppose 3*b - g = -4*u, -11 = -4*b - 27. Calculate the remainder when u is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = -7 + 35. Suppose w*a - 72 - 384 = 0. List the prime factors of a.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xbx when three letters picked without replacement from {u: 1, b: 1, n: 4, x: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*a**4\/11 - 846*a**3\/11 + 3722*a**2\/11 - 2016*a\/11 - 360 = 0. What is a?\nAnswer: -110, -3\/4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27954192 to the power of 1\/3, to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70 + 68\/(28560\/29330).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 + 9 + 6 - 40*i - 12. Let c be d(-20). What is the greatest common factor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 17*y - 71. Let f(x) = 8*x - 35. Let z(q) = 5*f(q) - 2*n(q). Let a = -4584 - -4591. Let j be z(a). What is the highest common divisor of 45 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 2920.38\nAnswer: -1460.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -107, -101, -83, -47, 13, 103?\n\"Answer: m**3 - m - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261*n**2 + 540*n**2 - 3377*n + 3377*n - 275*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 610*h + 1003 + 3472 = -19925 for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36413 (base 8) to base 6.\nAnswer: -200203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-4 + 2) - (165 - 156).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 6. Let r(j) = j - 5. Let a(p) = 5*h(p) - 6*r(p). Let t(z) = -6*z**2. Determine a(t(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -688*g - 7 - 1021*g - 3 + 582*g.\nAnswer: -1127*g - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + sqrt(38)\/(sqrt(8)\/sqrt(4)*-2)) + 0)**2.\nAnswer: 8*sqrt(19) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15215 - -15494. What is the highest common factor of 2201 and h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 12608861*g**2 - 12608804*g**2 - 3.\nAnswer: 57*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3446\/7 (b) 3\/2 (c) -1\/4 (d) -2\/5 (e) 2 (f) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-8) - 6\/4. What is the units digit of (-3)\/((-3)\/a) - -9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 71 = q + 3*o, 1529*q - 1532*q + 4*o = 95 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 24*h = 60*h - 3890991. What are the prime factors of h?\nAnswer: 3, 13, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24.2 * 1.2\nAnswer: -29.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -44 (b) 0.2 (c) -5106 (d) -2\/3 (e) 0.3 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 963781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-20)*(-8)\/20*10\/(-6)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -57*g**2\/2 - 3. Does 19 divide m(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhf when three letters picked without replacement from fyffzfuhuy.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -316*x + 439 - 10551 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 a factor of 140657572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, 3, 0, -2 in descending order.\nAnswer: 58, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*s = -f - 15, -f + 2*s = -6. Suppose -r - 7 + 52 = f. Calculate the highest common factor of r and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**6 + 8025*s**2 + 66*s**4 + 2253*s**5 + 2891*s**5 - 66*s**4 + 2*s wrt s.\nAnswer: -240*s**3 + 308640*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 135369, 270894, 406579, 542424, 678429, 814594?\n\"Answer: 80*n**2 + 135285*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -14. Suppose j + j + 2 = 4*l, 0 = 4*l - i. Find the second derivative of -2*a**3 - j*a + 3*a**3 - a wrt a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 32 = -20. Let n be 6480\/50 + (8\/(-5) - -2). What is the greatest common factor of p and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 a factor of 685404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/12 and -25\/396?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -113.7 - -111. Let l = v + 6.7. Suppose 4*t + 5*m + 8 + 0 = 0, 5*m - 2 = t. What is the second biggest value in t, l, -14\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 157 + -92. Is 234\/k*2*5 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.452 + -0.392. Which is the second smallest value? (a) 0.4 (b) i (c) -1 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140571107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*n + 1375, -4*n = -8*n - 20. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 337\/360 - 14\/45. Let k be 20 + (2 + -7 - -1). Let u be k\/88 + 4\/(-22). Is t less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -178.777 to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*c - 33 - 2*c - 33 + 23 + 0*c in the form t*c + z and give z.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2228657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 4. Let s = g + -2.9. Let f = 1.1 - s. Which is the third biggest value? (a) 0.2 (b) f (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t**3\/13 + 60*t**2 - 526*t\/13 + 88\/13 = 0 for t.\nAnswer: -44, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**4\/9 + 86*t**3\/9 + 154*t**2\/3 + 74*t = 0.\nAnswer: -37, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*m - 2 - 151*m - 122*m.\nAnswer: -46*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55513 is divided by 3084?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1069378 is divided by 585.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1)*12\/(-15)*-5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.9 + -10.5. What is a rounded to 0 dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(550) + (sqrt(550)*-3 + sqrt(550))*3))\/(-1*sqrt(11)*-3 + sqrt(132)\/(sqrt(72)\/sqrt(6))).\nAnswer: -75*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-36)*(-6)\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44452831?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -616144 divided by -2?\nAnswer: 308072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = -4*f + 14. Let s = -18 - f. Suppose s*r = 3*r - d + 67, 0 = 4*d - 20. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 3*y - 470 + 14, -5*y = 5*i - 770. Let q = 159 - i. What is the lowest common multiple of 8 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 29128 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + 35 + -17 + -5 - 0?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 581 = 63*x - 32 + 109. Let i(a) = 2*a**2 + a - 7. Let b(n) = -3*n**2 - 2*n + 11. Determine x*i(g) + 5*b(g).\nAnswer: g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 783213359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6457 - -2607. Let o = 643 - q. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227518 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from iiviviii?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-12) + (-9)\/(-10). Which is smaller: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7297 is divided by 1802.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 1.2 (b) 29 (c) -0.1 (d) -0.04 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 1:57 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1032100653 to the nearest integer?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 7*t + 23 = 3*t, 4*t - 13 = -z. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 12*f**2 - 27*f + 14. Let p be u(9). Suppose 1044 = p*s - 2288. Calculate the greatest common divisor of 98 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 202899?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2750.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/5 + 1893*y**2\/5 - 243574*y\/5 + 48336.\nAnswer: (y - 120)*(y - 1)*(y + 2014)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3977*g - 21*g**3 - 28*g**3 + 1 - 2*g**2 + 3*g**3 - 3981*g - g**3 to the form q + t*g + c*g**3 + b*g**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {a: 7, g: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) - (-5*2*sqrt(242) + sqrt(242))**2)*-6.\nAnswer: -66*sqrt(2) + 117612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 0)*(0 - (-308)\/(-12)). Let b = -33 - y. Does 2 divide b\/(-8) - ((-1)\/4 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -129 + -606. Let r be 4\/(-5)*o\/6. Suppose 2*s - r = 4*j, 4*s - 4*j = -0*s + 180. What is the remainder when s is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-one halves of a centimeter?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 4*q = -0*r, 4*r = -q - 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b - 1. Let s(y) = 14*y + 17. Give 102*f(g) + 6*s(g).\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.94 - -2. Let p = -0.36 + s. What is the closest to -0.1 in p, 0.4, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/10*3\/((-48)\/4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 4*m - 92. Suppose 3*o = k + o + 46, -4*o - m = k. What is k rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*z + 1037*z + 959*z + 2*z**2 - 122*z.\nAnswer: 2*z**2 + 1954*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 128, 148, 154, 152, 148?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 76.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*o - 5*o - 145, 2*f = -4*o + 84. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -2 (c) -0.3 (d) 3 (e) 28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -16093?\nAnswer: 2\/16093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + sqrt(228)\/(sqrt(48)\/sqrt(4)) + sqrt(57)\/(sqrt(3)*-2)))**2.\nAnswer: -36*sqrt(19) + 747\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60771718\/13 or -4674749?\nAnswer: -4674749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6353267.\nAnswer: 23, 276229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -37*i + 396. Calculate z(11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/(-12) - 10) + 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62674597.\nAnswer: 17, 19, 29, 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 692*z**2 + 4114*z - 1359. Calculate j(-686).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -3*r - a, 0 = r + 8*a - 3*a - 8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**5\/20 + c**4\/3 + c**3\/3 + 2*c**2 + 11*c + 3. Give x(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3183*f**3 - 6*f**2 + 6*f**2 - f**4 + 13*f**2 - 3206*f**3 to the form s + l*f**2 + c*f**4 + a*f**3 + x*f and give a.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + s**2 - 2*s - 2. Let o be b(-2). Let f = o - -3. Solve 3*k + f = -14 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*5\/7)\/(8\/(-56)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77\/12 + -55\/8. Find the common denominator of x and 47\/14.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 378, 373, 362, 345, 322, 293, 258?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12659044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/((-56)\/122) + 5\/5 and -125\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/((1*sqrt(48))\/sqrt(6))*-2.\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1001?\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12.8 and -35270.513052?\nAnswer: 35257.713052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-860814)\/(-81) - (-2)\/3. Suppose -10*b - 2818 = -m. Is b a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3\/8, -2, 0.054, -21, -2\/9, 8\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -954, 199 in descending order.\nAnswer: 199, 2, -954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 + 74*q**2 + 70*q**2 + 0 - 147*q**2 - 38*q + 1 + 1 in the form m*q + y + j*q**3 + b*q**2 and give m.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f - 10. Let u(a) = a - 1178. Give o(u(l)).\nAnswer: -5*l + 5880","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3179 - -3183. What is the biggest value in -4\/5, 0.2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32854.5237 + -32856. Round f to one dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 19 = 2*n - 3*n, 5*n - 3*f = 15. Suppose 71 = -n*l + 5. Let m = 13 + l. Solve 3*u + 5*j = 30, m*u - j - 11 = -4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*a - 9*a + 13*a)*(83*a**2 - 328 + 328 + (2 + 0 - 3)*(-2*a**2 + 2 - 2)) in the form r*a**2 + s + w*a + g*a**3 and give g.\nAnswer: 850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(-2 - -4))\/(-3). Let p(h) be the third derivative of 0*h**4 - 2*h**2 + 1\/180*h**5 + 0 + 1\/120*h**6 + s*h + 0*h**3. Factor p(j).\nAnswer: j**2*(3*j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 103.0756671 and 0.8.\nAnswer: 103.8756671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 4:59 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 62496155 and 6963767.\nAnswer: 69459922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-128))\/(-1*1*-2).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -12, o + 59*b - 54*b = 11 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5 + 70*u**4 + 750*u**3 + 2250*u**2.\nAnswer: 2*u**2*(u + 5)*(u + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 47404 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ak when two letters picked without replacement from {a: 2, p: 1, k: 3, r: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90029601, 90029588, 90029575, 90029562, 90029549?\nAnswer: 90029536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 4:58 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 122386 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -142470 * 105\nAnswer: -14959350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**5 - 21690*w**4 + 130262*w**3 + 542586*w**2 + 390636*w = 0 for w.\nAnswer: -10851, -2, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58818 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 369 and 90?\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -18*f**2 - 11*f + 35. Let o(h) = -11*h**2 - 6*h + 18. Let g(q) = 3*d(q) - 5*o(q). Give g(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2 + 3*b**2 + 3 - b - 3. Suppose -5*q + q = -8. Let u be t(q). Let h(l) = -4*l - 5. Let f(s) = 11*s + 14. Determine u*h(w) + 3*f(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-372)\/(-155)*(-1755)\/(-6). Solve 694*f = o*f + 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 2772?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 12) to base 2\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a centimeter in millimeters?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -7*c**3\/6 - 7*c**2\/2 + 2*c. Let z = -5 - 1. Is q(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (86\/(-559))\/(7\/91). Let f be 36\/(-32)*2\/(-3). Put g, f, -1 in descending order.\nAnswer: f, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 23.9. Let s = 6 + -6.2. What is the nearest to s in q, -5, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 1493 in increasing order.\nAnswer: -5, -1, 1493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -233215 from 2.\nAnswer: 233217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2044 rounded to two dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 159339\/91 + -1751. Is -0.3 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 1. Put 2\/15, j, -1\/2 in increasing order.\nAnswer: j, -1\/2, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*r + d, -4*d - 2 = r + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 650 and 138634990?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2902, 2901, 2902, 2905?\nAnswer: 2910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -32. Calculate the highest common factor of g and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 20 + 7 - 30*p**2 to j*p + x + s*p**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3330*i - 54976 - 43305 = 18269 for i.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2004 (base 5) to base 7\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j. Let i(z) = -9*z. Suppose 4*v - 41 = 3*k, -196*v + 193*v + 28 = -2*k. Suppose -8 = -5*y + 3*r, y - 5*r - 4 = 2. What is v*n(w) + y*i(w)?\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/1239552 and -103\/156.\nAnswer: 16114176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o - 9. Let z be h(7). What is the least common multiple of (z\/(-4))\/((-12)\/(-16)) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1228154, 1228028, 1227902, 1227776, 1227650?\n\"Answer: -126*r + 1228280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(-32 + 32 + 11*l**3) + (-27*l**2 - 329 + 329)*(-l - 2*l + l + (2 - 2 + 1)*(0*l + 4*l - 3*l)).\nAnswer: 38*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28511?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 41*y + 1114. What is i(-21)?\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1\/2))**(1\/5))**(-2\/89) assuming x is positive.\nAnswer: x**(-1\/445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2035252035.\nAnswer: 3, 5, 1193, 12637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -6*n - 15 - 17*n**2 + 6 - 2*n**3 + n**3. Does 28 divide o(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/13809 or 0?\nAnswer: 2\/13809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1766?\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 6 - 1584*j + 1589*j to y*j + a and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*o**2*p**2 + 271*o**2*p + 2*o**2 - 301*o*p**2 - 96*o*p + 3*o + 18334*p**2 + 2*p wrt p?\nAnswer: -6*o**2 - 602*o + 36668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(36) + sqrt(3) + 2*(0 + sqrt(3)) + ((sqrt(1800) - 3*sqrt(1800)) + sqrt(1800) + sqrt(1800) + sqrt(1800) + sqrt(1800))\/sqrt(6))**2.\nAnswer: 4900\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 37416\/21 - ((-8)\/(-7))\/(-4). Let c = b + -1059. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6608*n**2 - 719*n**2 + 9000*n**2 as v + t*n**2 + a*n and give t.\nAnswer: 14889","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 12, o: 1}?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = l + 642 + 731, -5*l = -15. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(22059\/(-26182)) - 34) + (-4)\/(-2)\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 38*r = -35712. Suppose 2*j - r - 160 = 0. List the prime factors of j.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + f - 4 = 0, -2*t + 3*f - 5 - 1 = 0. Let d = t + 6. Suppose s - 13 - 12 = d. What is the remainder when s is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2270 = 5*h. Let q = h - 100. What are the prime factors of q?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2741741669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 0, 0.09, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-4) + 6)*-5 + (-224)\/12*-3\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 + (0 - 9) + (-1 - -23) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -93 + (2 - 4) + 4. Let m = -91 - u. Solve m = 5*q - q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, g: 2}. Give prob of sequence ll.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -10*x**3 + 3. Let n(q) = -q - 2*q - 348 + 3*q + 20*q**3 + 343. What is 5*j(y) + 3*n(y)?\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*2*892\/(-1338). What is the second biggest value in 0, 5\/6, 0.5, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 625543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434 + 24 = -5*m. Is m a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ycqycjcyyyqyqyjjcyq.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -36*y**3\/7 - 1112*y**2 - 421632*y\/7 - 93312\/7 = 0.\nAnswer: -108, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 10*h**3 - 59*h**2 - 14*h - 8. What is v(6)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1000 (base 3) to base 16\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.01 - 2. Sort y, -0.2, -3 in descending order.\nAnswer: y, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 74. Determine a(-8).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, 2260, -0.5, -3986?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*h - 8, o = 4*h - 2*h - 5. Let g(p) = 11*p**2 + 3*p - 1. Calculate the remainder when 38 is divided by g(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -80*c + 153*c**2 - 65*c**2 - 70*c**2 - 43*c**2 in the form m*c + z + k*c**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304397?\nAnswer: 43, 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -17.5 times 1.651\nAnswer: -28.8925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*l + 3*l + 5*l)*(5*l**2 - 4*l**2 + 0*l**2) + (-3 + 3 - l**2)*(-123*l + 207*l - 110*l) in the form v*l**2 + m*l + b*l**3 + j and give b.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*y - 12*y**2 - 11*y**2 + 38*y**2 - 16*y**2 - 5 to the form g + w*y + n*y**2 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 12*f**2 - 3*f + 12. Let v be k(12). Let a = v + -34. Is a < -58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 106 and 4?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2762430?\nAnswer: 2, 3, 5, 11, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 124, 228, 328, 424, 516, 604, 688?\n\"Answer: -2*x**2 + 110*x + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 125\/(-55))\/((-2190)\/(-803))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3433154016.0000177 + 3433153755. Let x = l + 261. Round x to 6 decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, m: 2, o: 1, a: 2}. What is prob of picking 1 a, 1 r, and 1 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 6080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 d, and 1 b when three letters picked without replacement from {b: 3, c: 1, d: 1, t: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 38 = -3*f, -4*w - 2*f + 68 = -0*w. Suppose w*o - 14 = 146. Calculate the greatest common factor of 50 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (5 - (-440)\/(-36)) - -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6653622426 to the power of 1\/3, to the nearest integer?\nAnswer: 1881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2. Suppose 4*z + 0 = 4. Let r(u) = -u**2 - u - 1. Let j(f) = f + 1. Let o(b) = z*r(b) + j(b). Give t(o(k)).\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(320) - (sqrt(320) - (sqrt(320) - sqrt(320)*-2 - sqrt(320))))**2 - sqrt(40)\/(sqrt(8)*-2*4 + sqrt(8)).\nAnswer: sqrt(5)\/7 + 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x - 14 - 22. Let a(k) = -9*k - 6. Let n be a(x). Calculate the highest common factor of n and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 5*z - 1012 - 1158, 0 = 4*z - 2*a - 1732. Is 48 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -914 and 463002.\nAnswer: 462088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.4 + 0.4. Let z(i) = i**2 - 8*i + 3. Let l be z(0). Let t be -5 - -13 - 1 - l. Which is the smallest value? (a) -5 (b) t (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 - 18*w + 34. Let r(l) = 3*l**2 - 17*l + 35. Let d(q) = -7*a(q) + 6*r(q). Factor d(x).\nAnswer: 4*(x - 1)*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 1314?\nAnswer: 18396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 11:32 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c + 4*c + 8 + 1 - 9.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/2 - (-3 - -4). Let a = m + 4. Let w = 15 + a. Solve -2*c + 4*z = -w, -40 = 7*c - 2*c + 5*z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5101 = 2637. Suppose 0 = 14*n - f + 859. What are the prime factors of n?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 5*k**2 - 7*k + 6. Let v be t(6). Let n be v*((-4)\/(-4))\/1. Suppose -4*h + 9*h - 90 = n. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**2 + 2 - 4*i**4 + 0*i**4 + 2*i**3 + 2*i**2 - 2*i**4 to h + s*i + x*i**3 + a*i**4 + g*i**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -12*f**5\/5 + 5187*f**4\/5 + 14676*f**3 + 18831*f**2 - 220878*f\/5 + 48168\/5 = 0.\nAnswer: -12, -3, 1\/4, 1, 446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 4*x + 1. Suppose c = -3*o - 9, 2*c - 14 = 4*c + 5*o. Suppose -7*q = -c*q + 128. Let u be (q\/(-12))\/(6\/(-9)). Determine j(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1817549*f**2 + 5266260*f**2 - 1153801*f**2.\nAnswer: 5930008*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 313*w**2 - 420*w + 33706. Give l(312).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 7*r - 6. Suppose -3*z + 0*z - 7 = -u, -z = -3*u - 19. Let o be g(u). Suppose n = 4 - 0, o*n - 16 = 2*l. Sort 0, l, -5 in descending order.\nAnswer: 0, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3520)*5)\/(-1*(sqrt(44) + sqrt(11)) + sqrt(539)*-1).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24076 + 24135. What is the remainder when 2354 is divided by r?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 8*b**2 - 21*b + 5. Calculate the lowest common multiple of 160 and n(5).\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*i - 33*i - 1464 = 0. Suppose 63*b = 57*b + i. List the prime factors of b.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20*536474\nAnswer: 10729480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 28, 50, 92, 160?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31312*f + 224 = 31340*f, -4*u = -5*f + 52 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 486?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.559 + -228.559. Let b = -227.9 - x. What is the nearest to b in -4, 0.02, 4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 265231.\nAnswer: 14\/265231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 33005, 0.2, -65.3 in descending order.\nAnswer: 33005, 0.2, -65.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 916652129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = j, -3*h - 5*j = -4*h - 445. Let s = h - -468. Solve 1 = -c - s for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 38 + 8 = 0. Solve 5*w - 4*r + 20 = 0, -20 = 5*w + n*r + r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 595369?\nAnswer: 8\/595369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, p: 2, n: 3, u: 8, o: 4}. What is prob of picking 3 n?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*k + 2*k. Let j(m) = 38*m - 4. Let l be j(k). Suppose -7*r + 2*r + l = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 425 + -413. Solve -11*g + z = -7*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-21 + 12 - 6 - -22 - (-2 - 2))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -5) + (-3 - -2) + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, n: 2, f: 3, x: 1}. What is prob of picking 1 q and 1 n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2291, 0.04, -1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3377000 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 82948640053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.573 and 1071.92.\nAnswer: -5973.81016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 1:45 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 763 - 16400?\nAnswer: -15526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**3 - 222*c + 2*c**3 + c**3 + 222*c + 0*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3218869*r. Let c(d) = d. Give y(c(v)).\nAnswer: -3218869*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*b**3 - 621120*b**2 + 11326986*b wrt b.\nAnswer: 36*b - 1242240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 6 (c) 49 (d) -2 (e) 5 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(33\/18)*(-4)\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2736046 minus -26188?\nAnswer: 2762234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**6\/12 + v**5\/20 - 25*v**2\/2 - 14. Let z(j) be the second derivative of s(j). Find the third derivative of z(o) wrt o.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19804 + 19804. Solve 2*k - 2*z - 8 = u, -5*k - 100 + 104 = -z for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -1, 240 in decreasing order.\nAnswer: 240, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t**0\/t)\/t)\/(t**(-8)\/t))**(-1\/10))**9)**(-17) assuming t is positive.\nAnswer: t**(1071\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 693391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 + 64*m**3 + 252*m**2 - 64*m - 256.\nAnswer: 4*(m - 1)*(m + 1)*(m + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1702)\/296 - (-10 + 4)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9514 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v + 12. Determine z(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 91 = -99 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123031135?\nAnswer: 5, 24606227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**2 + 0*y**2 + 11*y**2. Let o be (-113 + -1*1)*1118\/(-129). Let d(t) = t**2 + 988 - o. Determine q(d(f)).\nAnswer: 14*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, w: 1, m: 1, y: 2}. What is prob of picking 1 y, 1 m, 1 w, and 1 v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -389061052 rounded to the nearest 1000000?\nAnswer: -389000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-40)*4*(-8374)\/79?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244 - 40 = -4*y. Let o = y + 27. Let v = o - -55. Is 16 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224 = 28*w + 4*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -18. Let f = o - -5. Suppose -2*j = 2*s - 1368, 0 = -3*j + f*s + 1662 + 420. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/10)\/(3\/42*-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -23359238, -46718468, -70077698, -93436928, -116796158, -140155388?\n\"Answer: -23359230*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 3*n**2 - 4*n + 1. Let o be s(-3). Let b = o - 3. Let k = b - -15. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 4*l = 2*i + 16, -5*i - 1388*l + 1396*l = 52 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**2 - 1221*u + 2430 = 0.\nAnswer: 2, 405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 7:41 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2 + 34*l + 5. Let q be y(17). Factor 18 + 4*i**2 - 5 + 8 - 20*i - q.\nAnswer: 4*(i - 4)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 187, 338, 499, 676, 875, 1102, 1363?\n\"Answer: r**3 - r**2 + 147*r + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -7*w - 2. Let u(p) = 8*p + 2. Let y(z) = -7*h(z) - 6*u(z). Let o be y(3). Suppose o*c - 9 = 11. Let v(a) = 2*a**2 - 5*a - 1. Determine v(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 881\/84 - -45\/28. Let h = 12 - y. What is the second biggest value in h, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59572?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1014449825.\nAnswer: 5, 61, 665213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*f + 82 + 121 = 0, 821 = 4*p - 5*f. Differentiate 4*u**2 - 5*u - 149 + p - 154 wrt u.\nAnswer: 8*u - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.2 - -8.2. What is the second biggest value in a, 0.3, 5, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -49, -143, -293, -499, -761, -1079?\n\"Answer: -28*t**2 - 10*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 - -64. Let m be 1*41 - (1 - 3). Suppose 76 = 6*p - p - 4*o, -3*p + 5*o = -m. What is the highest common divisor of p and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-1 + 2)) + (56 - 50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -936 - -940. What is the tens digit of 2034*(h + 50\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1309 and 10319?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5330 and 890770920?\nAnswer: 5330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2115 and 6909?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 120498*r**3 + 644*r**2 - 4*r + 22.\nAnswer: 722988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a year in months?\nAnswer: 81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-3\/4)*h)\/h**10*h**(3\/11)*h\/((h*h\/(h\/(((h\/h**(-9)*h)\/h)\/h))*h)\/h))**(-5))**(-41) assuming h is positive.\nAnswer: h**(-166665\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -4*a + 17 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/32033 and 22.\nAnswer: 32033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77235298.\nAnswer: 2, 7, 79, 69833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 50080 to the nearest one thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 t when four letters picked without replacement from {q: 12, t: 6}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -406582034, -813164066, -1219746098, -1626328130, -2032910162, -2439492194?\nAnswer: -2846074226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/14*(-537)\/1074*1*70\/285.\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1410561178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 12*z**2 + 46612*z + 699860. What is p(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 11*g**2 - 6*g - 40. Calculate the smallest common multiple of 55 and y(-12).\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 2*a + a)*(-a**2 + 3*a**2 + 0*a**2) - 9*a**3 + 284 - a**3 - a - 270.\nAnswer: -12*a**3 - a + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/44424 and 79\/49360?\nAnswer: 444240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 61*b*j**2*n**2*o + 38095*b*j*n**2 - 2*j**2*n**2*o + 3*j**2*n*o - 14524*j*n**2 - 2 wrt b?\nAnswer: 61*j**2*n**2*o + 38095*j*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 1234 = -2*m - 4652, -4*k + 5884 = -4*m. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -21 + 35 + -30\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103135218?\nAnswer: 2, 3, 17189203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151 - 155. What is the closest to -1 in i, -1\/3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from nuncfbnudubd?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49640 is divided by 24811.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 + 2526*h - 52170. What is r(21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or 31788?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, h: 1, n: 5, x: 2, d: 1}. What is prob of sequence nn?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24959484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 2. Let n(t) = -6*t**3 + 6*t + r*t**3 + 0*t**3 + 11*t**3 + 8*t**2. Let i(g) = -4*g**3 - 7*g**2 - 5*g. Calculate 6*i(u) + 5*n(u).\nAnswer: u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1796 = -5*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2739404?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q + 6*q + 3. Let h = 44 + q. Suppose -9*v = -h - 7. Solve -3*f = -3*w - v, 4*f - 14 + 0 = -2*w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -8.08. Let w = 3.08 + q. Let j = w + -2.9. What is the nearest to j in -3, -2\/11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y. Let b(v) = -2 + 7*v**2 + 2 + 75799*v - 75807*v. Calculate t(b(z)).\nAnswer: -21*z**2 + 24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4085 = 5*p, -3*w - 2*p = 900 - 3962. Suppose 0 = 16*r + r - w. What is the greatest common factor of 330 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7*v - 3*v + 1 - 2*v. Suppose 5*s + 5*n = -0*n + 400, -s + 68 = 4*n. Let r = s + -86. What is t(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 5, 2 in increasing order.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 10, -4*i + 26683 = -2*h + 89995. Is 11 a factor of 12\/15 + i\/(-85)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*n + 671 - 575 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/2 - 5*d**3\/2 + 13*d**2\/2 - 7*d\/2.\nAnswer: -d*(d - 1)**2*(d + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27\/(12 + (-391)\/34). Solve y = -8*v + 38 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f - 7. Suppose 8*b - 27 = 11*b. Let m be d(b). Let w = -24 + 35. What is the highest common divisor of m and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 - -221. Suppose 4*p - 30 = 118. Suppose -3*x - 2*j = x - i, x - 4*j = p. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-2)\/(-7)*-7. Let g(x) = -4*x**t - 5*x - 3 + 2 + 5*x**2. Let i(s) = s**2 + 5*s - 2. Let n be i(-6). Give g(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66d6 (base 15) to base 7\nAnswer: -120363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/23, 2.5, -3.9, -2 in increasing order.\nAnswer: -3.9, -2, -2\/23, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -34, 3, -39\/8, -3, 4, 1\/22?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/((-12)\/(-56))*3\/6. Which is the closest to -1? (a) 3 (b) l (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 + 2*l + 40 - 5*l**2 + 43 in the form z + o*l + r*l**2 and give z.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 524322 + -32?\nAnswer: 524260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 - 3. What is t(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (29 + 9 - 3)*(-2*r**3 - 2*r**3 + 2*r**3) in the form x + w*r + g*r**3 + f*r**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - 2*o + (0 + 0 - o)*(0 + 3 - 1) + 6310 - 11*o - 6310 - 3*o + 4*o + 0*o to the form c + j*o and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2178*q + 2374445 - 2374445)*(-3 + 6 - 4) as y + b*q and give b.\nAnswer: 2178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 15. Let y(v) = -2*v - 2. Let a(r) = i(r) - 3*y(r). Let k(q) = -3*q + 5. Give -4*a(z) - 9*k(z).\nAnswer: -z - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 62458, 125032, 187594, 250144, 312682?\n\"Answer: -6*k**2 + 62592*k - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1130635, -1131156, -1131677, -1132198, -1132719, -1133240?\n\"Answer: -521*y - 1130114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = t + 2*t. Let q = -9 + t. Let c be ((-15)\/(-10))\/((-3)\/q). Solve -i + 4 = -2*r + 1, -3 = -i + c*r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3493800161?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3883 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 1. Let q(p) = -2*p**3 + 9*p**2 - 9*p + 4. Let o(g) = 3*a(g) - q(g). Is 3 a factor of o(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2686\/3 - 895. Factor 4\/3*d + 4\/3*d**3 + t*d**4 + 2*d**2 + 1\/3.\nAnswer: (d + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4 + 18*x**2 + 8*x - 24.\nAnswer: -2*(x - 3)*(x - 1)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 2, p: 2, b: 3, z: 6}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4*d**4 + 2860*d**3 - 2880*d**2 - 11440*d + 11456 = 0.\nAnswer: -716, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -17827.9 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 107*g**2 + 171*g - 3878. Give h(-109).\nAnswer: 1245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5366.823 weeks to seconds.\nAnswer: 3245854550.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14\/3)\/(1\/(-3)). Let z = 20 + a. What is the third derivative of -2*j**6 + 0*j**2 + 4*j**z - 3*j**2 wrt j?\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5626739 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 7*a = 12. Calculate the lowest common multiple of 7 and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minus -279493361?\nAnswer: 279493370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 7. Suppose -77*r - 60 = -83*r. Solve -r = z*o + 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 - o - 10. What is the units digit of s(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-665)\/(-10) - (6 - 5)) + 7125\/2850?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-19 + 30)) + (-2 - (2 - 8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 2*y + 1. Determine f(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10507050 and 48870.\nAnswer: 10507050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*b - 4*b + 4*b)*(2*b + 3*b - 3*b) + 4*b**2 - b**2 - 5*b**2 + 3*b**2 - 5*b**2 + 3*b**2 + 4*b**2 - 4*b**2 + b**2 - b**2 + 4*b - 4*b)*(122 + 144 - 210).\nAnswer: 168*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 3*q - h, 3*h - 6*h + 23 = 4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**4\/24 + 2*d**2. Let b(z) = 17658872 - 17658872 + 20*z. Calculate b(n(q)).\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/20)\/((-4)\/10). Let b be (-4 + w)*(-6)\/4. Solve 2*h - b - 5 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3440052 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 19*a + 20*a**2 + 9*a - 5*a**2 - 40*a**2. Let i(y) = -24*y**2 + 29*y. Let q(z) = -4*g(z) + 3*i(z). What is the second derivative of q(h) wrt h?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 210 and 372624.\nAnswer: 1863120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 76435 - 2*v**2 - 76435. Let s(q) = -92*q**2. Give l(s(f)).\nAnswer: -16928*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261716 is divided by 1558?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4529 = 5*a + 2*a. Is 2*a\/8*4*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*d + 2288 - 2144 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(128)*-4).\nAnswer: -sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - 0.7. Let q(k) = k**2 + 6*k - 69. Let d be q(-12). What is the second biggest value in p, -2\/79, d?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-4) - (63\/(-12))\/(-21).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6829 is divided by 2263?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1007.6 + 1008. Let p = -0.05 - -0.45. Let n = -0.1 - p. Which is the closest to -1\/4? (a) 7 (b) x (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*k - 92, -2*k = -0*k - 2*o + 82. What is the common denominator of 111\/10 and k\/(-198) + (-1029)\/(-88)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/1118 and 145\/16670928?\nAnswer: 216722064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -122449, -122292, -122137, -121984, -121833?\n\"Answer: -k**2 + 160*k - 122608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5729 + 5738.203. Let f = d + -8.84. Let l = f - 0.665. Round l to 2 dps.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 7*r + 9. Let x be w(6). What is the third derivative of 62*h**2 - 63*h**2 - 4*h**3 + 0*h**x wrt h?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -62131286140373?\nAnswer: 62131286140373.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492 - 1106*p**2 + 21*p**5 + 288*p**4 - 122 + 14 + 1365*p**3 + 1260*p + 3632*p**2 = 0.\nAnswer: -5, -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11942 and 533456.\nAnswer: 455037968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - 1. Let w be (-8)\/x - (2 - 2). What is the third biggest value in -2\/5, 3, w?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -645 - 53?\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 473*s**6 - 39*s**4 - 36*s**2 - 26018*s.\nAnswer: 56760*s**3 - 936*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 63\/(-18))*20\/(-6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7 - 0\/((-6)\/(-3)). Let z(j) be the third derivative of j**5\/60 + 3*j**4\/8 + 3*j**3 + 156*j**2. Let o be z(p). Solve 3*k - o - 8 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30718579.\nAnswer: 617, 49787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1536)\/(-6) + 6\/3. Let j(h) = 5 - 251*h + n*h - 1 + 0. Let t(b) = b - 1. Determine -j(g) - 2*t(g).\nAnswer: -9*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6331999235824 - 0.4\nAnswer: -6331999235824.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (0 + (4 - -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 40. What is the common denominator of (w - (0 - -4))*5\/28 and -87\/82?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 4*o - 1. Give x(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 43\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-10)*(34 + 1). Suppose -r = -5*x - u, -3*r - 2*r + 2*x + 36 = 0. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 355 and 30?\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(171))**2*3 - sqrt(19)) + -4 - (sqrt(228)\/(1*3*sqrt(12)) + 2).\nAnswer: -4*sqrt(19)\/3 + 506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggy when three letters picked without replacement from {q: 5, u: 1, t: 1, y: 3, g: 4}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - 1008 + 1915 - 3*s + 1360.\nAnswer: -s + 2267","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10528 - -763?\nAnswer: -8655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**2 + 1 + 1 + 0*i - 11*i + (0*i + i + 0*i)*(0*i + i + 0*i).\nAnswer: 4*i**2 - 11*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21 - 0*4\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 194 = 3*j, 6 = -691*j + 694*j for m.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-13680)\/3800)\/((-21)\/(-10)))\/(1\/(140\/(-54))).\nAnswer: 40\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 47*p**3 - 2*p**2 - 5*p. Let u be q(-5). What is u rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 7:11 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -35*y**3 - y**2 + 2*y - 2. Let c(f) = -f**3 - 25*f**2 - 26*f - 47. Let z be c(-24). Let q be l(z). Is 6 a factor of 72\/(q\/48*1*-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 40\/80*0\/(-5). Let z = 101662\/147 + -2074\/3. Is f <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-986)\/(-1015) + -1)*(-5)\/1. Let 30\/7*f**2 - g*f**3 - 225\/7*f + 0 = 0. Calculate f.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 188836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163669 (base 11) to base 14.\nAnswer: 6864b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = 2*x, 0 = 2*v + 4*x - 18. Suppose v*z = z. Sort z, 3, -2 in decreasing order.\nAnswer: 3, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, -1\/4, -1\/8 in decreasing order.\nAnswer: -1\/8, -1\/4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 - 39.2. Let i = g - 4. Let k = 112 + -107. Which is the nearest to -1? (a) k (b) 0.1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k + 11. Let z be l(1). Suppose 3*d - 525 = -2*d. What is the greatest common divisor of z and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-225)*(-212)\/(-159)*27\/24?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 3. Let h be r(-1). Let o(i) = i**2 - 7*i. Let p be o(h). Let u = 90 + p. Is 19 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29751\/55 or 101?\nAnswer: 29751\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/63)\/((-1)\/3)*-3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 + 2 + 858*f**3 + 1294*f**3 + 2310*f**3 + 1027*f**3.\nAnswer: 5489*f**3 + 2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.934 and 1?\nAnswer: 1.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -s, 0*c - 2*s - 6 = -2*c. Let n be 94\/14 - 2\/(-7). Let x = c + n. What is the least common multiple of x and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.46, -1\/4, -1\/125 in decreasing order.\nAnswer: 1.46, -1\/125, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -252, -324, -438, -588, -768, -972, -1194?\nAnswer: -1428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -358 + 510. Does 19 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5293800 to the nearest one hundred thousand.\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1031 (base 7) in base 4?\nAnswer: -11231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 + 15331990*b + 11753495868005.\nAnswer: 5*(b + 1533199)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1162525 + -1?\nAnswer: 1162524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 54 = -4*g, -4*g + 3*g - 2*d + 15 = 0. Let n be 1\/2*(13 - g). Solve n = -a - 2*a + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 30*y - 955. Let f be c(32). Solve -t = z + 3, z + 13*t - f = 16*t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26423457 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94205 or -92387?\nAnswer: -94205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25106131\/12 - -2090339. Let h = -1836 - s. Find the common denominator of -8 + 118\/15 - (-799)\/480 and h.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 0)\/((-3)\/(-9)). Suppose -54 = -2*a + h*d, -53 = -a - 4*d - d. List the prime factors of a.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6419 = 638*n + 5246 - 39659 for n.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2382*-0.84.\nAnswer: 2000.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**2 - 5*b - 6. Suppose -3*w = -q - 2*q + 3, -2*w = -q - 2. Let d be g(w). Solve k = -4*p - 3, k + 2*p + d = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5482*g - 1826*g - 1825*g - 1832*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -894 divided by -37120\nAnswer: 447\/18560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304291342.\nAnswer: 2, 827, 183973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-560)\/(-94) + -6 + (-1305)\/(-846))*(-2 - 10).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 1\/7, -3\/4, 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least 145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 1464?\nAnswer: 8784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -59102 minus -2.12?\nAnswer: -59099.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 56.381 - 3590\nAnswer: -3533.619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161737 is divided by 505.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + sqrt(68)))**2 - ((sqrt(68) + 1)*3)**2.\nAnswer: -164*sqrt(17) + 531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-350)\/(-60))\/(28\/6). Let w be (-4)\/(-14) - (-37)\/(-7). Let g be 8\/w - (-2)\/(-5). Which is the closest to g? (a) 1\/6 (b) y (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399095797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -29*f**2. Let g(r) = -r**2 + 5*r - 1. Let h be g(3). Let w(i) = i**2 - 6*i**2 + 2*i**2 - h*i**2 - 2*i**2. Give n(w(m)).\nAnswer: -2900*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/30 and (183\/(-2196))\/(1\/68*75).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*t = -150, 5*g - g = -2*t + 306. Suppose 192 = 4*o - g. Let k = o - 40. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -1\/20*f**5 - 3\/4*f**4 + 5*f**2 + 38*f - 4\/3*f**3 + 0. Give p(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 28. What is the biggest value in 4\/3, f, 3\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5971173.\nAnswer: 3, 13, 153107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 8*s + 253. Let c be o(12). Let j(y) = y**3 - 10*y**2 - 34*y - 18. Determine j(c).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13749, 13748, 13735, 13704, 13649, 13564?\nAnswer: 13443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -212355 - 155?\nAnswer: -212554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 22. Let t be 6 - l - (4 - 2). Is 3 + 18*3 + t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, 1\/3, -218, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**43\/(u\/(u*u\/(u*(u\/u**(-2))\/u)*u*u*u))**(-2\/125)*u**(-2\/3)\/(u**(3\/4)\/u*u)*(u*u*(u**(-1\/11)*u*u)\/u)\/u**6 assuming u is positive.\nAnswer: u**(-784139\/16500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 25813, 26234, 26655?\n\"Answer: 421*k + 25392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2659347 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + 15 = 3*u - 5*n, -u = 3*n - 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/10 - (-18)\/45. Let f be t\/(-1) + (1 - 2). Suppose 3*c = -r - f, -r - c = -2*r + 15. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25.33 - 25.55709. Round v to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**3\/4 + 69*a**2\/4 + 306*a + 289 = 0 for a.\nAnswer: -34, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -ab65c (base 14) in base 2?\nAnswer: -1100101011101110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8364421 and -0.4?\nAnswer: 8364421.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 66144\/1104 + 4\/46.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 716 (base 8) in base 3?\nAnswer: 122010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29656618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37.2 in 2, 3, -5, 6\/17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*r - 10*r + 17*r)*(8 - 2 - 1) + 3*r - r - 4*r as o + s*r and give s.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 425 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence htht when four letters picked without replacement from {h: 3, r: 1, t: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 376 + -378. Let y = 4\/19 + -74\/171. Put y, -5, v in decreasing order.\nAnswer: y, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -86 - -48 - -45 - 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -136721\/6 + 22866. Suppose 183*c - 3886 - 7757 = 2997. Is c at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186440.5cm in meters?\nAnswer: 1864.405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 u when four letters picked without replacement from memumuuemmeum?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 624 and 3845296.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000001001100110 - -1001?\nAnswer: -11000001001011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaaoofoaaouuoioouo. What is prob of sequence ai?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 298207006?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362273643.\nAnswer: 3, 1747, 23041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 1 - 6. Let h = 3 - d. Suppose -3 = -h*z + z. Let n(m) = -3*m**2 - 11*m - 2. Let g(u) = u**2 + 5*u + 1. What is z*n(l) + 7*g(l)?\nAnswer: -2*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327306190?\nAnswer: 2, 5, 103, 317773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26559*t + 40 = 26569*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8*20*(-6)\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 12480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000713 to 6 dps.\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/45 and -131\/450.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v = -8*v - 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*o - 3745 + 47431. Calculate the remainder when o is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 9*q**3 + 182*q**2 - 74*q - 2296. Determine w(-20).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/12, 0.3, 4 in decreasing order.\nAnswer: 4, 0.3, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 - -41 - (-1 - (4 - 6) - -72)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**3 + 13*y**2 + 3*y - 7. Let d(j) = j**3 + 4*j**2 + j - 2. Let p(t) = -7*d(t) + 2*u(t). Solve p(i) = 0 for i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*i**2 - 9*i**2 - 2*i**2)*(-1 - 2 + 1) + (-i + 4*i - 2*i)*(-3*i + 4*i - 4*i) + 0*i**2 + 3*i**2 + i**2 to the form v*i + w + f*i**2 and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -780, 2276, 10588, 26784, 53492?\n\"Answer: 438*l**3 - 10*l - 1208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*s - 4, s = 5*g - 93. Let k = -14 + g. Let l(a) = -2*a - a**2 - 5*a**2 + 3*a**3 + 3*a**3. Let d(c) = -c**3 + c**2. Determine k*d(y) + l(y).\nAnswer: y**3 - y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6692 and 23183.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*l + 42*l + 6*l - 169*l - 158*l - 107*l.\nAnswer: -410*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 382 - 388. Let x be 644\/(-40) + -1 + d. Which is bigger: -23 or x?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o = 114522 - 114144 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -108, -136, -176, -228?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/8 of a kilogram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 + 2*p**2 + 14*p**2 - 247*p**2 - 24*p + 24*p + (4*p + 0*p + 0*p)*(p + p + p) to t*p + q*p**2 + w and give q.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**4 + u**3 + 2 + 1 - u**4 to the form f*u**2 + k*u**3 + l + g*u + d*u**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.6 + -1.2. Let r = -2 + 4. Let g = r - s. Which is the third biggest value? (a) g (b) -0.3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-10)\/4*4)*(64 - 13736\/204)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 50*s - 18. What are the prime factors of z(-15)?\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4993009 times -0.2?\nAnswer: -998601.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169557, 678198, 1525927, 2712738, 4238625, 6103582, 8307603?\nAnswer: 10850682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-3 - 36\/(-16)) - 4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6a64 + -15610?\nAnswer: -9657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(304))*-1 - (sqrt(304) + -4*(sqrt(304) + 1)))*3 - (-3 + (sqrt(931) - ((sqrt(931) + 0 - sqrt(931)) + sqrt(931))) - 6*sqrt(931)*1)*6)**2.\nAnswer: 18216*sqrt(19) + 1448433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6805343, 13610716, 20416089, 27221462, 34026835?\nAnswer: 40832208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.156257 and 52070.34?\nAnswer: 52070.183743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*(sqrt(12) - sqrt(12)*1 - sqrt(12)).\nAnswer: 3 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1905987?\nAnswer: 3, 23, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 2*g. Sort g, -2, -4.\nAnswer: -4, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -5*m**9\/504 - m**5\/5 - 8*m**2. What is the third derivative of d(w) wrt w?\nAnswer: -600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**3 - 245*w**2 + 151832*w - 453264 = 0 for w.\nAnswer: -532, 3, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -113\/7 in 1\/5, -2\/3, 0.3, -5.6?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 6:52 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 49*v + 459 = 2*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgtt. Give prob of picking 1 t and 1 g.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -38*u**2 + 209*u + 407. Determine s(-2).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjyy when four letters picked without replacement from jyjyjjj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3899200 rounded to the nearest 10000?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 704*2\nAnswer: 1408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/33 and -44\/39.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -119*l - 75. Let f(c) = -c + 3. Calculate d(p) + 2*f(p).\nAnswer: -121*p - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6)*(-258)\/9460)\/(41\/(-82)).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 15*d. Let q(a) = 17*a**2 - 3*a + 4. Let v be q(-2). Let c(n) = -v + 42 + 36 - 3*n. Give h(c(g)).\nAnswer: -45*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 385560 a multiple of 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2*k - k)*(6*k - 3*k - 4*k) + 2*k**2 - 3*k**2 + 3*k**2 + 31*k**2 - 27 + 27.\nAnswer: 34*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (21\/(-9))\/((-1)\/21). Let p be (1*-10)\/(-1*2). Suppose -k + 12 - 5 = -p*i, 0 = i. What is the greatest common divisor of k and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 22789, 45628, 68511, 91444, 114433, 137484, 160603, 183796?\n\"Answer: x**3 + 16*x**2 + 22784*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + -4*-1*sqrt(228) + sqrt(228))\/((sqrt(72) - (sqrt(72)*-2 + sqrt(72)))\/sqrt(6)) - 5*(sqrt(2299) + 0 + 0).\nAnswer: -52*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*i - 4*d + 140, 2*i + 14 = 161*d - 160*d for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 4) + 17 + -1. Suppose -3*h + m + 3 = 0. Suppose -h*u + u + 1156 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 17 = -15*h. Is 1\/119 at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17804 + -17804. Let z(a) = -a**3 + 2*a**2 - a + 21. What is z(c)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + 17. Let c = -285905.9958 + 285882. Let z = w + c. Round z to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 972 a factor of 16940475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a5db + 2?\nAnswer: 1a5dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(5 + -6 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/3 + (-548)\/(-6). Suppose -4*i = -3*i - 4*k - 30, -5*k - m = -3*i. Suppose -7*z = -z - i. Solve -z*a = 9 + 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnknnnnnnnkkknnn. Give prob of picking 3 k.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2052\/(-855)*(-5)\/(-8))\/((-2)\/((-16)\/114))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 4\/351855?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - w + 14827737 = 14827718, -2*w = -j - 33 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 11:28 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**3 + 4080*m**2 + 129771*m - 7267806 = 0 for m.\nAnswer: -1326, -63, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1869)\/1246*(-4)\/10)\/(3\/(-40)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in 11, -8\/3, -0.5, 7\/23?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*h + 125650 - 12985 = 0. Let g = -222279\/73 + h. Find the common denominator of g and -9\/7.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*r - 9, r + 2*j - 12 = -r. Suppose -2*w + g - 2 = -3*w, -3*g + r = 2*w. What is the closest to -0.1 in -2\/5, w, -0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1134302 or -1134301?\nAnswer: -1134301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(2*d + 2 - 2)*(-d + d - 2*d) + 2*d**2 - 2*d**2 + 2*d**2 - 2 - 6*d**2 + 2 + (d + 2 - 2)*(2*d + 4*d - 4*d).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5692653359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 + 408. Let a = 527 - l. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 131*a = 134*a + 1881, 3*a = 9. What is the smallest common multiple of m and 27?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-7))\/((-10)\/35)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 43*o + 1. Suppose -m + 1 = v - 0*v, -4*v = 8. Suppose -2*s - m + 5 = 0. Does 11 divide w(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25120\/(-2198)*(-4)\/20?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37869, 151498, 340881, 606018?\nAnswer: 946909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/sqrt(2) + -1 + sqrt(44)\/sqrt(16) - (sqrt(99) - 1*sqrt(99))\/sqrt(9)*6.\nAnswer: -1 + 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*x**3 + x - 3*x - 26*x**3)*(-2*x + 7*x - x)*(3 - 3 + 19).\nAnswer: -2964*x**4 - 152*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (35377\/(-34))\/((-1)\/((-18)\/(-3))). Let o = c - 3014. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91810 to the power of 1\/2, to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/1575)\/(2\/6)*-49?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = -3*g - 42. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -10. Let c = -5 + p. Let t(b) = -8*b**2 + 2*b + 1. Determine t(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*r - 102*r - 45*r + 417*r + 89*r.\nAnswer: 295*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4961, 68, -9, -2\/11.\nAnswer: -9, -1, -2\/11, 68, 4961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2) + 2 + -6 - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-10)*90\/(-36).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 6*a - 1. Let u(v) = -v**2 - 6*v + 2. Let j(w) = -7*u(w) - 6*y(w). Give j(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) -17\/3 (c) 2 (d) 2\/15 (e) 24 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 8, z: 5}. Give prob of picking 2 z and 1 o.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1275069 times 37\nAnswer: 47177553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + (2*sqrt(2299) + 4)**2)*-5 + 5.\nAnswer: -46055 - 935*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1997029242.\nAnswer: 2, 3, 13, 673, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -8*g**2 - 3*g. Let s(k) = 2*k**2 - 88 + 88. Determine s(j(h)).\nAnswer: 128*h**4 + 96*h**3 + 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 775 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + -80 + 31 + 16 - (0 + 0 + -15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/56 and 111\/280.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -11, -36, -19758.\nAnswer: -19758, -36, -11, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-7))\/(-60)*-4.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u*(u\/(u\/(u\/u**(-2)*u*u)*u))\/u)\/u)**(-40)*(u\/u**(4\/5))**28)**(2\/5) assuming u is positive.\nAnswer: u**(-1544\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 4*l = 18, 0 = -2*q + 2*l - 0*l - 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 580, 12, -381 in descending order.\nAnswer: 580, 12, -381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 50691122.\nAnswer: 101382244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*f - 8 = 4, 3*f + 3 = 0. Let a(j) = 7*j. Let r be a(n). Calculate the greatest common divisor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -715537, -715488, -715405, -715288?\nAnswer: -715137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4114*w**2\/3 + 14114*w\/3 + 6076 = 0. Calculate w.\nAnswer: -1, 9114\/2057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 252 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(3\/13)*k)\/k*k*k**(-4)*(k\/(k*k*k*k\/k**(1\/2)*k))\/k**(-2\/53) assuming k is positive.\nAnswer: k**(-7209\/1378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 374709*u = 374708*u - 32, -4*s + 37*u + 176 = 0 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 5*p**2 + 3*p - 10. Let u be s(5). Let d be -1 + 0 + -9 + u. Which is the biggest value? (a) d (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6435.77086 to the nearest 10.\nAnswer: -6440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 735, 5, -77 in descending order.\nAnswer: 735, 5, -16, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) 0.1 (c) 3\/1661 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58227?\nAnswer: 3, 13, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = z - 200, 0 = -t + 2*t + z + 192. Let q = 288 + t. List the prime factors of q.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -139*b + 140*b. Let o(m) = m**3 + 22*m**2 - 13*m - 45. What are the prime factors of o(b)?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*r = -98*r + 7841. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 25*c + 2. Let r be l(-5). Let v = r + 284. Is v*(-2 - 9\/(-3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/2352*(-6)\/12*(-12)\/3?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 27. What is the lowest common multiple of u and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 6:46 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65686, 129100, 192514, 255928, 319342, 382756?\nAnswer: 446170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**3 - 11*o**3 - o**3)*(-124*o**2 + 42975*o - 42975*o).\nAnswer: 2108*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (-56)\/(-10) + 4\/10. Suppose 2375 = 5*t + 2*d, n*t + 950 = 8*t + 3*d. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {h: 9, y: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -1)\/((-11)\/1232*-14)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) -4\/7 (c) -0.02 (d) -0.1 (e) 16 (f) 2 (g) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 7:07 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -267.0605218?\nAnswer: 263.0605218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -977.821336 - -977.8. Round b to 3 decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 12:22 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -6935.9 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 14 = -5*m - 3*l, -2*m + 8 = -2*l. Let c(v) = -3*v + 155 + m*v**2 - 8*v**2 - 148 + v**3 + 0*v**2. Determine c(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1437, -87, 1013 in descending order.\nAnswer: 1437, 1013, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**3 + 113*m**2 + 682*m + 6. Give w(62).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28\/135 + 8821\/1080. Find the common denominator of f and 28\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*a = 2685*a + 1034*a - 300690 for a.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (724\/(-1991))\/((-2)\/11). Solve l*r - r = -5*z + 10, -3*r = -4*z + 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-95)\/19 - -4)\/(3 - 10\/4). Put w, 3, 5, -8, 1 in increasing order.\nAnswer: -8, w, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 + 1. Let j = i - -2.5. Let l = j - 2. Which is bigger: l or 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffififfiifiiiffifii. Give prob of sequence ff.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 + 26*t - 105. Calculate s(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 5*g - 15. Let l = 23\/58 - -3\/29. Let r(j) = -j**2 - 7*j + 914. Let q be r(-34). What is the biggest value in -0.4, l, q, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 19 - 1)*(1 + 3 - 5 - 3 + 5 - 3 + 1 + 1 - 3 + (-2 + 5 - 1)*(5 - 3 - 1) + 0 + 2 - 3)*(4*l - 2*l - 3*l).\nAnswer: -56*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -227, 0, -24 in decreasing order.\nAnswer: 0, -24, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -1\/90*n**5 + 0*n - 1\/315*n**7 + 3*n**2 + 0*n**3 - 1\/90*n**6 + 0*n**4 + 0. Determine i, given that y(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -111*i + 3849 + 702. Calculate the remainder when 3643 is divided by i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/3*(-6)\/4. Suppose -8*c - 15*c + 46 = 0. Solve 3*d = -c*v + 21, -18 = -2*d - b*v - 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11982815.\nAnswer: 5, 13, 184351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 3*x**3 + 104013*x**2 + 901610685*x + 901506675 = 0?\nAnswer: -17335, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 166 + -130. Find the second derivative of 7*v**2 + p*v**4 - 62*v**4 - 1 - 5*v + 17*v**4 + 15*v wrt v.\nAnswer: -108*v**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11, 1, 2, 3, -79, -47 in increasing order.\nAnswer: -79, -47, -11, -3, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-1\/3))\/z)\/(z*z\/z**1*z)*((z\/z**(8\/3))\/z)\/z*z**(-7\/4))**29 assuming z is positive.\nAnswer: z**(-2465\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -71, -166, -299, -470?\nAnswer: -679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73261 is divided by 177.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/13 in 14, 0.1, -3, -5, 216?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115509.99958 - -115515. Let b = k - 5. What is b rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -7*w**2 + 5*w - 4. Let j = 144 - 143. Let p(f) = 51*f - f**2 - 1 + 42*f - 92*f. Give j*a(k) - 4*p(k).\nAnswer: -3*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 5:16 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((2\/1 - -277482)\/2)\/(28 + -26) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2 + 15*c - 1. Determine t(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -47643, -47645, -47647?\n\"Answer: -2*h - 47641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3823 + -3823.000004214. Round s to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 13\/105*v**6 + 17\/70*v**5 - 1\/7*v**2 + 3*v + 4\/21*v**4 - 1\/42*v**3 + 1\/42*v**7 + 0. Factor u(x).\nAnswer: (x + 1)**4*(7*x - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 5*b**2 - 7. Let g be z(5). Let x = g - -10. Suppose -8 = -2*j, -x*j - 4 - 26 = -3*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 16*n + 61. Calculate the remainder when 756 is divided by i(12).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -8\/7, 2\/13, 0, 4, -4\/5?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -970 - -1514. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 17, 0, 2, 1\/2?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/14 and 17\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -34 + (62 - 39) - (1 + 4 + -1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13123 is divided by 4366?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.00018378709 rounded to 6 decimal places?\nAnswer: 0.000184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 36*n - 15. What is c(0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 6. Let j(d) = -2*d + 12. Suppose 0 = -2*s - 2*h + 14, -5*s + 5 + 30 = -2*h. Give s*u(z) + 4*j(z).\nAnswer: -z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23683131?\nAnswer: 3, 59, 14867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -1. Let i(y) = -7*y - 5. Give -5*a(w) + i(w).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85.9999624 + -86. Round n to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5777.83566 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 7815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -16.5?\nAnswer: 49.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 25 = 7*m. Let j be 7\/39 - (-2)\/(-6). Let n = -15 - -15.2. Sort j, m, n.\nAnswer: j, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11689*l**3*p**2 - 41*l*p**3 + 58*p**3 + 4*p**2 - 6*p + 7 wrt l?\nAnswer: 35067*l**2*p**2 - 41*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1131 and 86613.\nAnswer: 32653101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -1 - 7) + (1 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16.64 + 0.14. Let i = c - -12. Let j = 0.5 + i. What is the nearest to -2 in 2\/13, j, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 130379*q + 782226. Calculate r(-6).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -3853?\nAnswer: 3854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 w when four letters picked without replacement from {w: 2, p: 4, q: 3, x: 1, m: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.249 in 2\/3, 4\/3, -30?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -29960, 22?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 9 - 16 + y + 0*y. Let w be z(9). Let k(n) = -14*n**2 - 10*n**w + 5*n + 5 + 25*n**2. Determine k(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -955, -1103, -1249, -1393, -1535, -1675?\n\"Answer: h**2 - 151*h - 805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - -0.2. Let i = -711 + 739.9. Let x = i - 26.9. Which is the nearest to u? (a) x (b) -2 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**2 - 8*m**2 - 52*m**2 - 30*m**2 in the form i + a*m + d*m**2 and give d.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/5*10*7\/(-28). Suppose 2*r - 7*r - g*l + 13 = 0, -l = -2*r + 3. Put -1, 7, r in ascending order.\nAnswer: -1, r, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8889870 rounded to the nearest 100000?\nAnswer: 8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 p when four letters picked without replacement from xxqxplpppqpqsxql?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**2. Let x(d) = 49266*d. Let y(p) = 226*p. Let n(s) = -6*x(s) + 1309*y(s). Determine g(n(w)).\nAnswer: 226576*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 22987016\nAnswer: -4597403.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bg when two letters picked without replacement from {g: 2, e: 3, b: 1, k: 3, o: 2, d: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189 divided by -21.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 313460.\nAnswer: -940380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -256, -268, -286, -310, -340, -376?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r + 5. Let n be z(-1). Let i = -2.8 + -9.2. Let g = i - -12.1. Which is smaller: n or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -86 + 347\/4. Let q = -199 + 199. What is the smallest value in 2\/21, 3, q, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**3 + 997450*p**2 = 0 for p.\nAnswer: 0, 199490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.138 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-170)\/(-4)*((-310)\/(-25) + -6). Suppose 13*j = 534 + z. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-9 - (21 + -3 - 15))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**3 - 15*t**2 + 17*t - 10. Let h be z(-9). Suppose -5 = p, -2*i + 3*p = -p - h. What is the highest common divisor of 75 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2874 is divided by 604?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvvq. Give prob of picking 1 v and 1 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*c**4 + 1 - 1)*(-2 + 2 - 1)*(-32 + 14 - 55) in the form f*c**4 + v*c**2 + u*c + t*c**3 + n and give f.\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/4 - 13*d\/2 - 25\/4.\nAnswer: -(d + 1)*(d + 25)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*h**3 + h + 48*h**3 + 60*h**3 - 9*h**3.\nAnswer: 77*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -32*g**2 - 3*g + 2. Let s(d) = -97*d**2 - 8*d + 6. Calculate 11*f(o) - 4*s(o).\nAnswer: 36*o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49045794 by 1325562.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 - 13*d - 7. Let r(g) = g + 6. Let q be r(3). Let u be x(q). Calculate the greatest common divisor of 19 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 3. Let q = 3 - x. Let z = -3.7 - q. What is the nearest to 1 in -4, 2\/3, z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**4 - 1221 + 17*r**2 + 1221 + 5*r to the form y + m*r + d*r**3 + a*r**4 + p*r**2 and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*x = -9*x + 5508. Is x a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-49))\/(-2*(-9)\/189)*-7?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 100 = 5*v - v, 79 = 2*c - 3*v. Let g(p) = p + 6. Let m be g(5). What is the greatest common factor of m and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110101101010011001 (base 2) to base 9\nAnswer: -364453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6*v**2. Let p(z) be the second derivative of -z**3\/3 - 8*z. What is p(g(a))?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 11:24 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8 + 1. Put -0.07, -2, m in increasing order.\nAnswer: -2, -0.07, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 20 = -4*h. Let q(g) = -g**2 + 5*g**2 + 12*g**3 - 5*g**3 - h*g**2. What is q(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 2*g + 6. Let x be d(7). Let j = 60 + x. Solve -11 = -4*n - j for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 860346 - 0?\nAnswer: 860346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 81786 > 81786?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 100.724115 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (716*w**2 - 372*w**2 - 469*w**2)*(-2 + 2 + 2*w**3 + (-3*w**2 - 3 + 3)*(-2*w - 2*w + 3*w)).\nAnswer: -625*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 149 and 9983?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1425 and 28671?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 371, 764, 1167, 1580?\nAnswer: 2003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 1, 1\/2, 2\/25?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pttptpptcs. What is prob of sequence cp?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7365 - 3840. Does 34 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**3 - 2*f**2 + 4*f - 1. What is z(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48111*s**5 + 65*s**4 + s**3 - 14965552*s**2.\nAnswer: -2886660*s**2 + 1560*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 754717354 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = q, 5*q - k = -0*q + 14. Let b(l) = 50 - 6*l + 6*l - l**q + l. Is 10 a factor of b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8115 - -8035. Sort z, -3, -0.3, -5\/2 in ascending order.\nAnswer: z, -3, -5\/2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 123782\/154715 - 2\/30943. Let g = 0 - 2. Which is the smallest value? (a) l (b) g (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 919891543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 1. Let u(h) = 3*h**2 - 3*h - 35. Let k(w) = -2*o(w) - u(w). Let q be k(4). Solve -10 = q*g + 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16, -71, -118, -151, -164, -151, -106?\n\"Answer: a**3 - 2*a**2 - 56*a + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/7417 and -117\/14.\nAnswer: 103838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 25*m + 70. Let h be (-1)\/2 - (2058\/28)\/(-21). Let i be t(h). Solve -68\/7*y**i + 0 + 0*y + 8\/7*y**2 - 8*y**5 - 4\/7*y**3 = 0.\nAnswer: -1, -1\/2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 26*s**2 + 6*s + 7. Let f(y) = -y - 1. Let n(h) = 6*f(h) + l(h). Let u be n(2). What is the greatest common factor of 15 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -43, 156.7, -0.3, 0.5 in ascending order.\nAnswer: -43, -2\/3, -0.3, 0.5, 156.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 2:44 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5222.82 years?\nAnswer: 522.282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.28 + -13.244. Let h = u - 0.036. What is the smallest value in 9, -2, h, 4\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*b + 328, 3*b - 32 + 192 = -t. Let d = 92 + t. What is d rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n + n - 108 = 0. Let z(s) = 35 - 88 + n*s + 56. Let k = 4 + -6. What is z(k)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008666 rounded to six decimal places?\nAnswer: 0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, x: 2, t: 11, o: 1}. What is prob of sequence ot?\nAnswer: 11\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 + 3. Let a(x) = x**2 + x + 1. Let k(t) = -4*t**2 - 3*t - 2. Let h(p) = 3*a(p) + k(p). What is -3*h(f) + i(f)?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 505, 27, -1437, -3887, -7323, -11745, -17153?\nAnswer: -23547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1121724633.\nAnswer: 3, 373908211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {v: 1, k: 2, m: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**4\/2 + 315678*m**3 + 3788093*m**2\/2 - 2209725*m = 0 for m.\nAnswer: -631350, -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4 = 5*j - 3*r, j = 4*r + 4. Let t = -1\/359 + 1085\/2872. Is j greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*a + 418 + 841 = 192 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138234780*a**2 - a + 7*a + 6 + 138234797*a**2.\nAnswer: 17*a**2 + 6*a + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1194 (b) -3 (c) -1 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1956.82473s in weeks?\nAnswer: 0.003235490625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from stkipmm. Give prob of picking 1 p and 1 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 75*g + 326. Let i be (4 + 1 + -15)*-1. What is the hundreds digit of d(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -0.2, 0.014?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -0*m. Suppose 6*o + 24 = -m*o. Let r be 12\/(-3) - -20 - o. Solve v + r = 6*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-91\nAnswer: 9.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 225365929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 5 + 0*i**2 - 4*i + 2\/3*i**3. Differentiate h(k) wrt k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(1584) + 2 + -4 + sqrt(1584) + 0 + sqrt(1584) - (sqrt(55) - (-1*sqrt(275))\/sqrt(5))\/(sqrt(5) + sqrt(500)*-2 - sqrt(5)))*-1)**2.\nAnswer: 722*sqrt(11)\/5 + 1433931\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -177*k - 1239. Let l be s(-7). Solve 4*c - 10 = -3*w, l = 2*w - 1 + 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/341, -1, -0.5, 127, 1?\nAnswer: 2\/341","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 732, -21, -3, -406, 2\/3, 0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 202 - 73. Let m = u - -28. Let f be 4\/6 - 65\/m. What is the nearest to 0.3 in 2\/15, -0.3, f?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 14. Let o(x) = 210*x - 5. List the prime factors of o(k).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -12. Calculate the remainder when 74 is divided by 384\/15 + 1\/(z\/4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*r - 3*r**3 - 19*r - 15*r**3 + 16*r**3 to the form g*r**2 + j + m*r**3 + w*r and give w.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/(-30) - 6\/54\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*b - 1 = 2*b, 0 = -a - b + 1. Let q be (5\/1)\/(2 + -1). Suppose 5*y - 27 = 3*m, 0 = 4*y + m - 3 - q. Solve a = y*h - 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300570 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/960)\/((-1)\/5)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1226\/10 - (6 - 5). Let h = 122 - j. What is u in -h + 3\/5*u**2 - 1\/5*u**4 + 1\/5*u**3 - 1\/5*u = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 7. Let i be f(-7). Let c = i - -16. Let r = 31 - c. Solve 4*a + r = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 16 - 4 = 0. Let n be (15\/(-10))\/(3\/c). Calculate the greatest common divisor of n and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122050?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68692 is divided by 996.\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -29 + 11 + 687*u - 702*u. Let r(y) = 1 + 0*y + 0*y + y. Determine -d(k) - 18*r(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 1c51?\nAnswer: -1c50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -1944*v + 289581. Calculate k(149).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-36 + 23 - (-2 + -3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 4.38008302895?\nAnswer: 3.98008302895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 583*c + 1695. What is the ten thousands digit of z(38)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(1*(-1 - -2)). Suppose -k = 3*k + 36. Let s = k - -14. Solve -s*c + 9 = -2*v, -u*c = -3*c + 4*v + 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -221 * 7231.23\nAnswer: -1598101.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 89*m**2 + 57 + 56 - 164.\nAnswer: 89*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(5) + sqrt(20)\/sqrt(4))*-4.\nAnswer: -8*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*j = 17*j - 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83275, 80348, 77421, 74494, 71567?\nAnswer: 68640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 22 = 2*r, 2*q + 4*r - 7*r = 23. What is the smallest common multiple of 7 and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/16 (b) 0 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of y**7\/14 - y**6\/10 - 9*y**5\/20 + y**4\/4 + y**3 + 2*y + 4. Let h(s) be the first derivative of j(s). Factor h(u).\nAnswer: 3*u*(u - 2)*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + -43. Let f = -72.1 - l. Which is the nearest to f? (a) -21 (b) -3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-1\/3)*v*v**(-3\/5)*v)\/(v**(1\/3)\/((v\/(v*v\/(v*v\/v**6)*v))\/v*v)) assuming v is positive.\nAnswer: v**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -173\/255 + 4\/51. Is 11 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 - 2*c**2 - c - 4. Let m be t(-3). Calculate the highest common factor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -458 + 458 - 63713*n.\nAnswer: -63713*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u + 3. Let h(j) = -j + 1. Let f(r) = -r**3 - 3*r + 1. Let m(q) = -f(q) + 2*h(q). Determine b(g) - 3*m(g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 12*t = 864. Is 24 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5*q**3 + 14*q**2 - 7*q - 5. Let l(m) = 4*m**3 - 12*m**2 + 6*m + 4. What is -5*g(f) - 6*l(f)?\nAnswer: f**3 + 2*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*o + 7*o + 71*o)*(3 - 6 + 0)*(3*o + 3*o**2 - 3*o).\nAnswer: -630*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5556879 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-124)\/30) + 11\/((-1320)\/16)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*x - 1250 - 3651 = -x - 104*x for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 2:26 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 117207 or 4237?\nAnswer: 4237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21416338 and 1.\nAnswer: 21416338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*i + 15 = 0, 2*k + 2*i = 3*k - 10. Suppose k = -8*b + 3*b + 50. What is the hundreds digit of (-6)\/4 - (-1315)\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -109576, -109596, -109630, -109678, -109740, -109816?\n\"Answer: -7*g**2 + g - 109570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -6. Let f = 0.85 - o. Let y = f - -0.05. Which is the third biggest value? (a) y (b) -1 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -1053*h**2 + 2012*h - 4. Let c(g) = 5*g**2 + 3*g - 1. Let t(m) = -4*c(m) + f(m). What is the second derivative of t(i) wrt i?\nAnswer: -2146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -118 divided by -208\nAnswer: 59\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 3. Let u be q(5). Suppose -2 = -2*f + 5*b - 23, -4*b = -20. What is the third derivative of -2*h**5 - 3*h**f + 2*h**u + 3*h**5 + 0*h**2 wrt h?\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (100 - 268 + 348 + 1050 + 897)*(-4*l**3 - l**3 + 4*l**3) to the form u + s*l + y*l**3 + r*l**2 and give y.\nAnswer: -2127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -8\/5 (b) -5 (c) 2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3212\/39 + 1296\/13. Solve -t*p + 16\/3 - 14\/3*p**2 = 0 for p.\nAnswer: -4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/6)\/(4\/18). Let y = 1 + s. Solve -y*j - 5 - 6 = r, 0 = 3*j - 2*r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -11*q**2 + 8. Let x(n) be the third derivative of -n**5\/15 + n**3\/2 + 51*n**2. What is -3*o(m) + 8*x(m)?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*p + 781228 = 114*p - 2801624. List the prime factors of p.\nAnswer: 7, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 69 * 2.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -643, -655, -667, -679, -691?\n\"Answer: -12*c - 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1)\/(1 - (-66)\/(-72))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 minus 1169075?\nAnswer: -1169075.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 3:04 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*11\/((-66)\/(-315)). Let d be (3 - (-39)\/7)\/((-6)\/l). What is the common denominator of (d\/(-486))\/(1\/(-6)*1) and -179\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6.904484 nanograms?\nAnswer: 0.000006904484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (204\/42)\/(78\/(-273))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 6981*u + 34884. Give j(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -700404 divided by -350202?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91154 and 3808?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 7*o**2 - 8*o - 41. Let u be b(-7). Put u, -3, 5 in decreasing order.\nAnswer: u, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 6 = 2*m. Let h = -8 - -23. Calculate the highest common factor of m and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 2:46 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002934799433 rounded to 7 dps?\nAnswer: -0.0000293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.12 - 0.62. Let s = 0 - 0.1. Let f = c - s. Put f, 0.2, 2 in descending order.\nAnswer: 2, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*d - 3*v + 54 = 109*d, -3*d + 4*v + 47 = 0. Calculate the greatest common divisor of d and 1003.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12305707 to the power of 1\/3, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1943 + (6\/3)\/2. Let x = d + -11719\/6. What is the common denominator of (3\/(12\/(-214)))\/((-315)\/60) + -10 and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -10*r**2 + 111*r**3 - 7*r - 56*r**3 + 11 - 56*r**3. Determine g(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 4*q + 3*q)*(4*q**3 - 3*q**3 + 3*q**3) + (q**3 + 4*q**3 - 6*q**3)*(5*q - 4*q - 3*q) - 3*q**4 - q**4 + 3*q**4 + 4*q**4 + 0*q**4 - q**4.\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 2*s - 588. Let u(a) = a**3 - 11*a**2 + 11*a - 1. Let m be u(12). Let y = s + m. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*(sqrt(11) + -1).\nAnswer: -sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5 - 15 = -3*f, 5*f - 28 = 4*j. Solve -b = b + f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/40 and -91\/2796?\nAnswer: 27960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (32\/(-12)*(-84)\/8)\/2. Suppose -8515 - 7879 = -p*v. Round v to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1508 and 627640156?\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/24 - (-6 - 182\/6). Let w = l - 289\/8. Factor -9\/4*r**3 - 15\/4*r + 9\/2*r**2 + w*r**4 + 9\/8.\nAnswer: 3*(r - 3)*(r - 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -219.42 - -216.6234. Let q = o + 2.8. What is q rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 - 0.6. Let z be 2 - 1 - (2 - 1). Suppose -p - 1 + z = 0. Put 5, p, q in descending order.\nAnswer: 5, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21602*w - 3567?\nAnswer: -21602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -230, -290, -354, -422?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 10:01 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -259 + 264. Solve 0*r = m*n + 3*r + 16, 3*n = 3*r for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -138 + 135. What is the tens digit of (65\/(-25) - z) + 318\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -2*v - u - 76, -5 = -v - u. Solve -27 = -2*d + 3*r, v*d - 2*r = 5 + 29 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/727 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (470*r + 552*r**2 - 470*r)*(5*r - 4*r + 0*r).\nAnswer: 552*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -340*t - 1156. What is the units digit of i(-26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -i**4\/12 - 4*i**3\/3 + 5*i**2 - 2*i + 21. Determine l(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 18.955. What is j rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3449, 3473, 3499, 3527?\nAnswer: 3557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3\/5 (b) 0.1 (c) -142 (d) 1\/4 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 16*f**2 + 29*f - 9. Let v be z(14). Suppose i + 3*h = -30 + 117, 5*i - 445 = -v*h. What is the highest common divisor of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a week in minutes?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 37. Let y(g) = 3*g + 35. What is the remainder when s is divided by y(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8, -34, -88, -160, -256?\n\"Answer: -t**3 - 35*t + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6460 by -20.\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/11692 and 65\/14.\nAnswer: 81844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -6690894?\nAnswer: 6690890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21699202 is divided by 104827?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8600 and 225.\nAnswer: 77400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19477477 to the nearest integer?\nAnswer: 4413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -8*i + 1. Let y(z) be the second derivative of -z**3\/6 + 22*z. Give c(l) - 5*y(l).\nAnswer: -3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3350367 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 545 and 228294505.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d - 25. Let z(h) = -h. Let f(w) = 4*w - 1. Let y(c) = -2*f(c) - 7*z(c). Let x be y(-12). Let p be r(x). Solve 5 + p = -2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3644 and 0.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 333 divide 2039061564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23503644*p - 35615992?\nAnswer: -23503644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 652461 + -254?\nAnswer: 652204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2223 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -74952.6.\nAnswer: 14990.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 6*p**2 - 3*p + 15. Let j(w) = w**3 - 4*w**2 - 6*w - 4. Let f be j(5). Let t = 16 + f. What are the prime factors of y(t)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 22*h**2 + 9*h + 325. Give x(23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 5) to base 16\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -6*b**2 - 209*b - 9. Let d(i) = -19*i**2 - 576*i - 26. Let y(m) = 3*d(m) - 8*k(m). What is y(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 + 2 - (-2 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2697390 divided by -5289\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 70 (b) 2 (c) 1 (d) 1\/11 (e) 10 (f) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - (-4 + 4))*11. Suppose 0*c + s = c. What are the prime factors of c?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (7\/4)\/(11\/132)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 23*a = 9. Suppose 2131 = a*p + 670. Suppose -2*h = f - 5*h - p, -2*f = -4*h - 978. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/15)\/((-4)\/(-20))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**3 + 2*g**2 + 2*g - 3. Let w be s(0). Calculate the remainder when 8*(-29)\/(-1) - (w + 5) is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -s - 6*s, 5*m - 8*s + 7*s - s - 49 = 0 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-37316)\/(-133) + 9\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 4\/3, -2\/9, 1067, -285\/206?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 0.8923305?\nAnswer: 7.138644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 7*b**2 + 3 - 28*b - 1 + 29*b. Let a be j(9). Let v = a - 391. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u + 1. Let a(s) = 22*s - 38. Let q(r) = 2*a(r) - 18*w(r). Let b be q(14). Solve -b = -6*d - 0*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -1. Suppose -13 = -4*b - 5*c, -3*b - c + 4 = -3*c. Differentiate x - 5 + 3*v - b*v wrt v.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2)**(-4\/11) assuming w is positive.\nAnswer: w**(-8\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.32? (a) -2\/219 (b) 2\/13 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 5*y**2 - 13*y - 5. Is w(-5) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001050929292 rounded to 6 dps?\nAnswer: -0.001051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3369902072 + 0.7?\nAnswer: 3369902072.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.98 - 0.02. Let z = p + 1.1. Let c = 0.1 - -0.1. Which is greater: z or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, i: 11}. What is prob of picking 2 z?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14\/3 in 8, -1\/4, -2\/13, -5, -0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -33323151, -33323155, -33323161, -33323169?\n\"Answer: -l**2 - l - 33323149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19883*t**2 + 19885*t**2 - 59652*t**2 + 2 + 19883*t**2 - 2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22016*w + 22016*w + 611*w**3.\nAnswer: 611*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1.68, -26\/1085, -3?\nAnswer: -26\/1085","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 315 - 313. Suppose 4 = -h + 4*l, -6*h = -t*h - l + 16. Let n = 0 + -1. Put n, -21, 3, h in decreasing order.\nAnswer: 3, n, h, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -286.9999718 - -287. What is b rounded to six dps?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.3, -121 in increasing order.\nAnswer: -121, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**2 - 180*x = 0. What is x?\nAnswer: 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 7*v**2 + 20*v - 5. What are the prime factors of w(9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4818816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 901127 rounded to the nearest ten thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -59\/114 (b) -2 (c) -5 (d) 0.4 (e) 9\/25 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 256*q - 3 + q**2 - 134*q - 165*q + 123.\nAnswer: (q - 40)*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9\/4 + -11\/4. Let u = -6536 - -6540. Which is the second smallest value? (a) y (b) u (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 2351230996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -4. Let r(p) = p**3 + 2*p**2 - 4*p + 3. Calculate the remainder when 31 is divided by r(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + -2 + 2 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 9) to base 10\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 15. Solve -4*a - 2*o = -10, -4*a = -2*a - 2*o - j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 838, 845, 854, 865, 878, 893?\n\"Answer: s**2 + 4*s + 833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 83947096?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 17 = g. Suppose g*a = -2*a - 62100000. Round a to the nearest one hundred thousand.\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25061341?\nAnswer: 349, 71809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 747, 1494, 2241, 2988?\nAnswer: 3735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**2 + 3*t - 13. What is o(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-0.0996.\nAnswer: -0.0498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 117399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.12 - 0.1. Let h = 0.28338 + -0.38338. What is the nearest to h in -3, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than or equal to -19\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 953 = -4027?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -12952\/59 > -220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -8*w + 72. Suppose 0 = 6*o - w*o + 231. What is the greatest common factor of o and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4 - 27) + 18 - -23) + -11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.93874105 rounded to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105292921.\nAnswer: 2473, 42577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -2\/116247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.126 + 0.12599846. Round a to 7 dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xoo when three letters picked without replacement from {x: 2, o: 5, z: 2}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (2 - (-7 - (3 - 8))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9695905?\nAnswer: 5, 67, 103, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**2\/2 - 14007*q + 65398683\/2 = 0. Calculate q.\nAnswer: 4669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 378*z**4 - 41*z**3 + 2*z**2 - 45691?\nAnswer: 1512*z**3 - 123*z**2 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/15 and -107\/340.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 200*j**3 + 71*j**2 + 218*j - 8. What is r(-3)?\nAnswer: -5423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - (-5 - ((3 - (8 + 11)) + 2 + 3)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-3)\/15*(-45)\/(-54)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-2)\/(-24)*15\/5\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 14 = 5*b, 5*j - 2*b - 20 = -2. Suppose -j*d + 3 + 3 = 0. Solve -d = 5*k + 17 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/15)\/(6\/(-45) - 0). Suppose -m = 2*i + 56 + b, -3*i + 141 = -3*m. Let g = m - -87. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*f = -31*f - 42. What is the remainder when 54 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 11*r + u = -1, 2*r + 9 = -u. Suppose 3*c = -0*c. Let o be r*6\/(-3) + c + -2. Solve -4*x - o*m = -0 + 14, 5*x = -3*m - 18 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 179 and -357?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7753345 by -5.\nAnswer: 1550669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-210)\/(-140)*(-96)\/(-36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4108 and 267540.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18222296441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -2\/7 (c) 4\/5 (d) -5 (e) 53.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4131 divide 131931747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 4564000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 577*y**2 - 8 - 10*y + 0 - 576*y**2. Let d be z(11). What is the second derivative of -3*n**3 + 2*n**3 - n**3 + 32*n - 3*n**d wrt n?\nAnswer: -30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-11383739114\nAnswer: -11383739114.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 75645 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12903 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -116666112*u - 67107005 wrt u?\nAnswer: -116666112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 17 - (4 + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 183 and 95880715?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 6*v**2 - 2*v - 4. Let o be s(-6). Let c = o + -4. Let k(t) = t + 8. Calculate the remainder when c is divided by k(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.51 + 0.01. Let q = x + 0.49999955. What is q rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 17 + 10. Let u = -11 + i. Let l be 10 - (-10)\/(-6)*(-53 - -56). Sort l, 2, u, -3 in increasing order.\nAnswer: -3, 2, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10030 * 3.3\nAnswer: -33099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93 - -144. What is the highest common factor of 34 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 11, v: 2}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 2*z = 36. Suppose -4*h + 0*h + 32 = 0. Calculate the smallest common multiple of h and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18591 + -3?\nAnswer: 18589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*p + b - 1 = 46*p, -5*p - 4*b - 34 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-1))\/(-2) + -2. Let x be 940\/15 + r\/3. Calculate the highest common factor of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 - -52781 - (-14 + 20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 3\/29, -1.3 in increasing order.\nAnswer: -1.3, 3\/29, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 1. Let k be u(-1). Which is bigger: -9\/10 or k?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 73945 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1474843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 501659910?\nAnswer: 2, 3, 5, 5573999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 61, 77, 117, 193, 317, 501, 757?\n\"Answer: 2*w**3 + 2*w + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -141*n + 16. Let g(a) = -3. Give 5*g(w) + q(w).\nAnswer: -141*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d + 4*d + 30*d. Let g(n) = -2*n**2. Give y(g(i)).\nAnswer: -80*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 627732 is divided by 1241?\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 2 + 7 + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in five quarters of a microsecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.91 * 184\nAnswer: -167.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -v**8\/2400 - v**7\/1260 + v**6\/900 + v**4\/24 - 2*v**2. Let x(z) be the second derivative of l(z). Factor x(c).\nAnswer: -2*c*(c + 1)*(7*c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5\/5 + 126*u**4\/5 + 494*u**3\/5 + 736*u**2\/5 + 489*u\/5 + 122\/5.\nAnswer: (u + 1)**4*(u + 122)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*o**2 + 22338*o - 83284.\nAnswer: -2*(o - 443)*(25*o - 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17931 + -17880. Calculate the remainder when 534 is divided by d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18484 and 39?\nAnswer: 720876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**4 + 2*j**4 - 3*j**4 + (2*j**4 + 0*j**3 + 0*j**3)*(1 + 1 + 0) - 3*j**3 + j**4 + 3*j**3 + 2*j**4 - 345*j - j**2 + 324*j - j**2.\nAnswer: 5*j**4 - 2*j**2 - 21*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7581588 or -7581549?\nAnswer: -7581588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6851039 is divided by 277.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 196*b**2 + 33*b - 8. Let p be j(-15). Let f be p - (-4 - -5 - 4). What is f rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -679 and 6?\nAnswer: -4074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/2 + (-72)\/144?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1934*i - 1242*i - 1367*i - 59059 = 0 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3339 (base 16) in base 9?\nAnswer: -18880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -623, -3612, -8607, -15620, -24663, -35748?\n\"Answer: -2*g**3 - 991*g**2 - 2*g + 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52 + 54. Factor 210 - 210 - 5*z**v + 10*z.\nAnswer: -5*z*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4677432?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -982*v + 8335 = -20044 - 4027 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3571 + 0.0571. Which is the biggest value? (a) w (b) -6 (c) -10 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-145)\/10*2)\/(1\/19*19).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 153 = -j, 0 = 5*j + 3*k + 954 - 189. Let d be (-3)\/(-3) - (j - 0). Suppose 19*b = 24*b - 110. What is the greatest common factor of b and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 23. Let g(y) = -y + 17. Let s = -6 + 11. Calculate the remainder when u(0) is divided by g(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 941.5486 centimeters?\nAnswer: 9415486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 4:07 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 1258*f**2 + 32152*f + 147840.\nAnswer: (f + 6)*(f + 20)*(f + 1232)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2261 + 2267. Calculate the greatest common factor of g and 70.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*o**2 + 7765664*o - 7765664*o.\nAnswer: -26*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.96 + 1.04. Let x = 42 - z. What is the second biggest value in -0.2, 2, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1431 divided by -7?\nAnswer: -1431\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*s = 0, 0*s + 21 = -5*u - 2*s. Is 9 a factor of (u - 293)\/(-4)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.72105 grams in nanograms?\nAnswer: 12721050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 10*r - 153 = 0. Let d be 24\/84*(r + -2). Let m(k) = -k**3 + 13*k**2 + 14*k + 5. Calculate m(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.4 (b) -2\/11 (c) -0.05 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121 + -1?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -4*u**7\/105 - 7*u**4\/24 + 5*u**2. What is the second derivative of w(z) wrt z?\nAnswer: -96*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 36503*q + 13 + 21*q**2 - 36503*q. What are the prime factors of k(5)?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 605107, 605088, 605067, 605044, 605019, 604992?\nAnswer: 604963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 7*y - 5. Let b be r(5). Suppose 4*q + 8 = -4*l, q - 2*l + b + 9 = 0. Let p be q\/8 - (2 + -3). What is the biggest value in p, 5, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-2)\/(-24)*3). Suppose -3*r + 8 = -2*y, 3*y + 3 = -r + 2. Let i(d) = 8*d**2 - 8*d - 6. Let j be i(y). Solve -a*z = -2*z - j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4882452 - -4882452.4191031. Let x = 0.419 - a. Round x to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*j + 19 = 254 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r**2 - 11*r + 38. Is s(6) a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 + 51. Suppose -a = -5*a. Let y = 5\/14 - -13\/42. What is the nearest to a in y, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76680 divided by 15336?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158652 = -81398*q + 81407*q. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -86 - -144734557746.\nAnswer: 144734557660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61611, -123276, -184941, -246606, -308271, -369936?\nAnswer: -431601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (0 + sqrt(17) - sqrt(17)) + 4)*-4.\nAnswer: -4*sqrt(17) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1*sqrt(66)*2 + sqrt(66) + (sqrt(66) + sqrt(66) + -1*sqrt(66))*-2)\/(sqrt(432)\/sqrt(8)*6))**2.\nAnswer: -2*sqrt(11)\/3 + 155\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 698507\/20 > 34926?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 0)\/((-3)\/9*-9). Which is the closest to -59? (a) 1\/9 (b) n (c) -2\/7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40290 and 6715?\nAnswer: 40290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.32898554 to three decimal places.\nAnswer: -2.329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o + 2. Let u(h) = 5*h - 6*h + 2*h + 3*h. Let n(s) = -s. Let w(q) = 5*n(q) + u(q). Give -g(d) + 2*w(d).\nAnswer: 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2359932979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76 and 41.\nAnswer: 3116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 m when three letters picked without replacement from mxxmmmxm?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1429265.25us to days.\nAnswer: 0.000016542421875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3869366 and 7738732?\nAnswer: 7738732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 562.9138 years in millennia?\nAnswer: 0.5629138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 2*6\/4. Let v(j) be the third derivative of j**6\/120 - j**5\/20 + j**4\/12 - j**3\/3 + 21*j**2. Calculate v(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 7732?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, k: 1, c: 3, b: 1}. Give prob of picking 1 o and 1 k.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)\/sqrt(4))**2 + -2)*-5 - (-5*(sqrt(85) + (sqrt(85) - (sqrt(85)*-2 - sqrt(85)))) - sqrt(85))\/sqrt(5).\nAnswer: -75 + 26*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 9*f + 4570 = 5*t, 5*t = -2*f + 1825. What is the hundreds digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*z**2 + 3 - 17*z**2 - 18*z**2)*(-4*z + 9*z + 0*z + (4 + 0 - 5)*(-1 + 1 + z)).\nAnswer: 20*z**3 + 12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10.151369196 and 491.\nAnswer: 501.151369196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 + 46. Suppose 5*l = 5*k + 5, -j*l + 4*k - 2 = -0*k. Solve -o - 2*q + 0 = l, -5*q = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 8075?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 11:37 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 (base 3) in base 4?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**4*v + 546*g**4 + 30*g + 3*v - 8842 wrt g.\nAnswer: -4*g**3*v + 2184*g**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**7\/315 + c**6\/60 - c**5\/30 + c**4\/36 + 6*c**2. Factor h(r).\nAnswer: -2*r*(r - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 8. Suppose -j*m + m = 0. Suppose y = -m*y. Solve -4*c + 0*c - 4 = y for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 - 4*b + 3. What is the least common multiple of r(3) and 33?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -12. Calculate the highest common factor of n and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1906604206 to the power of 1\/3, to the nearest integer?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ec (base 16) in base 3?\nAnswer: 200020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1436?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 y when two letters picked without replacement from {g: 17, y: 2}?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + q. Let n be i(-2). Suppose -2*y = t - 112, -t + 171 = 3*y + n*t. Is 26 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 662548883.\nAnswer: 269, 811, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7\/12, -4\/7, 1\/66, 2?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 995580?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 542 divide 192962840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r + r + 0*r)*(-3*r - r + r) + 0*r**2 - r**2 - r**2 to the form q*r + z + f*r**2 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (1 + 1)) + 3 - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-18)\/(j**(-2\/11)\/j*j))\/(((j\/((j**(11\/6)\/j)\/j))\/j)\/(j*j*j**(3\/13)\/j*j*j)) assuming j is positive.\nAnswer: j**(-12659\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1685, -3395, -5103, -6809, -8513, -10215?\n\"Answer: l**2 - 1713*l + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (3 - 0 - -8) - (-1 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -47 + (9 + -22 + 10 + -7 - (-6 - 5))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.4, 0.3, -2\/11, -1, 2.9.\nAnswer: -4, -1, -2\/11, 0.3, 0.4, 2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -0.07 (c) -156 (d) 0 (e) 3 (f) 19\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 - -0.46. Suppose -3*d - 96 = -0*d. Let o be d\/(-14) - 1*2. What is the closest to -1\/2 in 0.5, o, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91\/7 + (4 - 15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 x, and 1 q when four letters picked without replacement from {i: 5, x: 1, d: 1, l: 6, q: 3, f: 1}.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-3)*-2 - (26 + (-120)\/(-6))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r**3\/6 + 4*r**2 + 21*r\/2 = 0. Calculate r.\nAnswer: -21, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 31*d + 104. Let p be y(33). Suppose 5*h + 3*h**3 - 24*h**2 + p*h + 5*h = 0. Calculate h.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4\/(-180))\/(6738\/(-2130) + 3) and 33\/4?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*s**2 + 6*s**2 - 28*s**2.\nAnswer: -64*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 1, -6, 14\/27, 20?\nAnswer: 14\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 12\/13 (c) -0.4 (d) 0.4 (e) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 137558.07 months in centuries?\nAnswer: 114.631725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 83 + 94 = 3*b, -10 = 2*b. Suppose 0 = -8*w + 8 - f. Let x(u) = -u**3 - 6*u**2 + 10*u + 8. What is x(w)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 1 + 1)*(-14*q**2 - 37*q + 37*q) + 3*q**3 - 7*q**3 + 8*q**3.\nAnswer: 32*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 21 = 15*p, 500*p - 499*p = -5*r - 57 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3768 = -2*c, 9*c - s + 5680 = 12*c. List the prime factors of c.\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 7*i**3 - 9*i**3 + i**3 to the form t*i**3 + v*i + c*i**2 + h and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 1. Let y be (2\/(-11) - (-32)\/(-308))\/2. Sort 4, p, y, 3 in decreasing order.\nAnswer: p, 4, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*x - 93, -6*x - 2*t = -3*x + 137. Let i be ((-3)\/5)\/(9\/x). What is the units digit of (-615)\/(-20) - i\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 559 = -4*c + 55. Let j = -61 - c. Suppose -2*i + 63 = 3*i - 2*q, -61 = -5*i + 4*q. What is the highest common divisor of j and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3656283?\nAnswer: 3, 1218761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-4) + (-8)\/(56\/21). What is the biggest value in -0.32, n, -1?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6497 - 6496.6. What is the third smallest value in 2\/81, -4, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 17*v + 65. Give o(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1\/8, 2, 5, -3714\/5, 4.\nAnswer: -3714\/5, 1\/8, 0.5, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -305, -6 in descending order.\nAnswer: -1, -6, -305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + -461)*(-2)\/(-12). Let q = 50 + -127. Let n = q - x. Which is bigger: n or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121392 is divided by 60666.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2180*s**4 - 5*s**3 + 25756?\nAnswer: -8720*s**3 - 15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 440480.9g to nanograms.\nAnswer: 440480900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39157234 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9a + 5?\nAnswer: a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3334*n*q**2*x + 131*n*q + 3*n - 17472*q**2*x - q*x + 3*q + 142*x - 15 wrt q?\nAnswer: 6668*n*x - 34944*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 2 - (-33 + 9 + -30).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 630 and 6?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60\/496669 + 31970085601\/10430049. Let u = -3069 + h. What is the common denominator of u and -29\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -0.2, 0.4, 33, 3\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p - 1. Let z be v(-3). Suppose -54 = -4*y + t + 2*t, -4*y = 5*t - 70. Let s = y + -5. Solve 3*l - s = z*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.75 + 1.75. Let h = 34.6 + -32. Let q = h - y. What is the fourth smallest value in 4, -4, q, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -5*m**2 + 10\/3*m**3 - 5 - 1\/4*m**4 + 4*m. Calculate k(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 10*n**3 - 79*n**2 - 430*n + 3381. Calculate k(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + w = -0*w + 128, -5*x - 5*w = -220. Suppose 4*z - 48 = 8. What is the highest common divisor of x and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 59003.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s**2 + s. Let w(h) = -9*h**2 + 2*h. What is -7*b(o) + 3*w(o)?\nAnswer: o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38438*o**4 + 61*o + 83788191 wrt o?\nAnswer: -153752*o**3 + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 311*u**2 - 1 + 331*u**2 + u**3 - 2*u - 613*u**2 in the form f*u**3 + k*u + z*u**2 + g and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 8*d + 20. Let t be m(-10). Let i(n) be the third derivative of -2*n**2 + 0 - 7\/24*n**4 + t*n + 5\/6*n**3 + 1\/30*n**5. Determine i(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.203 (b) 1.47 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/2046 and (((-10)\/31)\/(8\/(-3)))\/((-2187)\/(-1134)).\nAnswer: 6138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*s + 847 = -245*s - 577*s - 581 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13117 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {j: 3, h: 7}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.78 * -2556.\nAnswer: -1993.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 161888904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and -334?\nAnswer: 6.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3056037 + 0.3?\nAnswer: 3056037.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 230545268?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3\/5 - 3*h**2\/5 - 9*h\/5 - 2\/5.\nAnswer: (h - 2)*(h + 1)*(4*h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3829.89t to grams.\nAnswer: 3829890000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/2)\/(0 + (-1)\/(-2)). Which is the closest to r? (a) 0 (b) 2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -469\/2706 - -3\/451. What is the smallest value in 0.5, -64, y?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102023 (base 4) in base 3?\nAnswer: 1121002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 p when four letters picked without replacement from {f: 5, p: 3}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.5 (b) 119 (c) 4 (d) 0.4 (e) 17.655\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 8. Solve -5*l - 25 = 2*m, 0*m + m - 5*l - 25 = a for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -1. Suppose 4*o - y*g - 508 = 0, 5*o + 4*g = 2*o + 370. Suppose 70 = 7*w - 2*w. What is the highest common factor of o and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435553206.\nAnswer: 2, 3, 11, 937, 7043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 217, 4 in descending order.\nAnswer: 217, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 142, 158, 198, 274, 398, 582?\n\"Answer: 2*x**3 + 2*x + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s + 3. Let b be u(-3). Let k be 15*(b\/(-9) - -1). Let d = k + 16. What is the remainder when d is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -256532 divided by -118\nAnswer: 2174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence usss when four letters picked without replacement from suuuuss.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*v - 0*v - 1442, -2*v - 1083 = -3*k. Which is greater: 364 or k?\nAnswer: 364","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.75 + 20.75. Which is the third smallest value? (a) y (b) -5\/3 (c) 2 (d) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 3898188.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21913684, 21913686, 21913688, 21913690, 21913692?\n\"Answer: 2*q + 21913682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -be - e616?\nAnswer: -e6d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((5 - 29) + 2 + 8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 223724 = -24524. Round g to the nearest one thousand.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541 is divided by 136.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 66 or 417\/8?\nAnswer: 417\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -4.08. Let f = 0.08 - r. Let d = -3\/17 + -2\/85. Sort 0.1, f, d in decreasing order.\nAnswer: 0.1, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 85 = 4*p - z, -4*z = -4. Let f(o) = 83*o - 13 - 94*o + 9*o**2 + 0*o**2 - o**3. What is the remainder when p is divided by f(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - v - 76 - 38, 0 = 2*m - 2*v + 68. Let y = 53 + m. Solve -h = 3*h + y for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2084559229?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*r + 2100 - 9730 = -9*r + 84*r for r.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**4 - 11*a**3 - 562*a**2*i**2 + 2191*a*i**2 + 2*i**2 - 3*i + 9 wrt a.\nAnswer: 24*a**2 - 66*a - 1124*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y - 4*y**2 - 2*y**4 + 4*y**2 + 0*y**2 + 1 to h*y**2 + g*y**4 + c*y + n + v*y**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -113320312 (base 4) in base 13?\nAnswer: -356c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 - -1 - 2320394\/(-269) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 363858 + -1?\nAnswer: 363857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1408 and 6528.\nAnswer: 71808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 433 - 326. List the prime factors of y.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 3, -2\/9, -0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**5\/20 + i**4\/6 + 5*i**3\/6 + 5*i**2\/2 - 40*i - 3. Let v(f) = f**3 + 3*f**2 + 4*f + 4. Calculate -4*g(y) + 5*v(y).\nAnswer: y**3 + 7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -5*y - 5, -12*l - 4*y = -7*l + 40. Sort 4, l, 93 in increasing order.\nAnswer: l, 4, 93","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19842 is divided by 189.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11209, 11148, 11087, 11026, 10965, 10904?\n\"Answer: -61*j + 11270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9865 + 213*y**2 + 230*y**2 - 444*y**2.\nAnswer: -y**2 - 9865","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20296 and 531.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**3 + 50*a**2\/7 + 2*a - 50\/7 = 0. What is a?\nAnswer: -1, 1, 25\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85029 is divided by 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 2*c - 20, -5*c + 2116 = -4*w + 2143. Let a be 0 + -2 + 2\/2. What is the nearest to 0 in w, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000301 to seven decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ou when two letters picked without replacement from {h: 1, l: 1, n: 1, u: 1, o: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -70*n - 17. Is i(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 14 = 58. Let z be (-232)\/t + 4\/(-18). Let m(g) = -4*g + 2. Let i(y) be the second derivative of -5*y**3\/6 + 3*y**2\/2 + y. Give z*i(l) - 4*m(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85 - 148 - 72*o + 255.\nAnswer: -72*o + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -56*l**3 - 4*l**2 - 4*l - 3. Let c be (-1)\/(-5)*-2*5. Is f(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -203922*a - 65206 with respect to a.\nAnswer: -203922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 270 - -44. Let l = o + -312. Let 0*f - 1\/7*f**4 - 2\/7*f**3 + 0 + 3\/7*f**l = 0. Calculate f.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 676 + -616. Calculate the remainder when r is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/15)\/k*(k**(1\/10)\/k)\/k*k**(-3\/7)\/(k*(k*k**4\/k)\/k) assuming k is positive.\nAnswer: k**(-1511\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**3 - a**2 + a + 1. What is the remainder when (-28)\/(-8)*(-176)\/(-14) is divided by x(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) 1.3 (c) 899.3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 362485 * -0.3\nAnswer: -108745.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**5 - 3*p**4\/4 - 7*p**3\/3 + 3*p**2\/2 + 2*p - 7. Factor s(t).\nAnswer: (t - 1)**2*(t + 1)*(5*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4214104 + -143?\nAnswer: 4213631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/53 in 0.2, -7, -1\/4, 12, -1\/82?\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 73.6 - 82. Let p = s - -8.3999935. Round p to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7*u**2 + 27*u - 32. Let z(t) = -8*t**2 + 29*t - 31. Let g(d) = -7*p(d) + 6*z(d). Does 9 divide g(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 52\/9, -4, 1031, 1\/61?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 108588752 or 108588754?\nAnswer: 108588752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 138*3\/9*3 + 2. Let i(k) = 2*k**2 - 53*k - 157. Let c be i(-3). What is the greatest common divisor of c and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 0 - (-54 + 11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (30 - -14) - 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 5*l + 3. Let a be b(-3). Let t = a - -7. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/4 + 631*x - 398161.\nAnswer: -(x - 1262)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 3*o)*(o**2 - 4*o**2 + o**2).\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + -0.7. Let w = 0.26 + -0.06. Let q = w + 0.8. Put 2, a, q in descending order.\nAnswer: 2, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38313\/14 - -2739. Let n = -3749983\/126 - -29761. Calculate the common denominator of v and n.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.324818 kilometers to centimeters.\nAnswer: 32481.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1693 * 1.5165\nAnswer: -2567.4345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 5*z + 59 - 114, 4*z - 46 = -5*c for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41124497 is divided by 331649?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153008.\nAnswer: 2, 73, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - t**2 + 4*t - 3. Suppose -2*n + 2 + 4 = 4*o, -4*o + 3*n + 11 = 0. Let j be f(o). Calculate the highest common divisor of 36 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -4 + (-5 - 0) + 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 211 + 45. Round v to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y = -64 - 112. Suppose -256*g + 254*g + y = 0. Solve -4*t = -4*x + 8, 0 = -x - 0*x + g*t + 14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 9) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6512 is divided by 65.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12639830482 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150 = -196*x + 226*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - i - 2 + 5 + 5. Let k be u(-8). Suppose 6*d = -22 - k. Is -16 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 16) to base 7\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.3514 + -4.7514. Suppose 0*k = k. Which is the smallest value? (a) k (b) 2\/7 (c) f (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 9*j - 10. Let m be h(-8). Find the common denominator of 99\/74 and m\/(-2) - (-119)\/(-10).\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007222 to six dps.\nAnswer: 0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xq when two letters picked without replacement from {t: 2, h: 2, q: 1, x: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(1\/18)*q)*q**(1\/44)\/q)**12 assuming q is positive.\nAnswer: q**(-805\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 3 + 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/10902 and -50\/1796539.\nAnswer: 247922382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 10237*c**2 + 20137975*c + 32650878981.\nAnswer: (c - 5633)**2*(c + 1029)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 - 2258*g**2 + 3*g**4 + 0*g**3 + 2258*g**2 - 248 as q*g**2 + s + h*g + i*g**4 + r*g**3 and give s.\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 287.7058 micrograms in tonnes?\nAnswer: 0.0000000002877058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, c: 3, v: 3}. Give prob of picking 1 x and 3 c.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 319 and 80881?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) -1\/44 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33224 is divided by 33203?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -465 + 469. Suppose 2*l + 4*s = 34, -3*l + 0*s + 3*s + 15 = 0. Let c(f) = -f + 12. Let o be c(9). Put l, j, o in decreasing order.\nAnswer: l, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13211010 (base 6) in base 3?\nAnswer: -211012102020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 350237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1161 - 1130. Calculate the remainder when 221 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - w = w + 181, 0 = 3*y + w - 557. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 31?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 50 - 50)*(11*j**3 - 1519*j + 0 + 1515*j - 1).\nAnswer: -11*j**5 + 4*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, c: 4, s: 8}. What is prob of sequence cws?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10002 - -1011201?\nAnswer: 1001133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.457555142 + -0.2.\nAnswer: 0.257555142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.752463 years in centuries?\nAnswer: 0.06752463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + ((1 - 12) + 5 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 1110110010111011?\nAnswer: 1110110010111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-28) - (-135)\/(-35). Let p be 3\/(15\/(-10)) - n. Solve 1 = -f - 3*u, -p*u - 5 = -1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 90?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 4:59 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7028167nm to centimeters.\nAnswer: 0.00000007028167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**8\/z)**(1\/15)*z*z**(-28)*z*z*z**41 assuming z is positive.\nAnswer: z**(247\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 101 or -4154?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6458093651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rv when two letters picked without replacement from {v: 1, u: 3, s: 2, r: 2, b: 2, g: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2624)\/(-6) - 2\/(-3). Let c = k + -644. Is 1*(-12)\/8*c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 5*w - 16. Let j be g(7). Let m(p) = p**2 + 5*p - 130. Let n be m(9). Is j bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2950634301?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -221, -351, -447, -491, -465, -351, -131, 213?\nAnswer: 699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -7*y**2 + 0*y**3 - 1\/24*y**4 + 0*y + 0. Let w(c) = -6*c**2 + 3*c**2 + 2*c**2. Give i(w(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10355507*d**2 + 34417493 wrt d.\nAnswer: -20711014*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**5\/10 - m**3\/3 + 6*m. Let t(l) = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2026 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -38711 divided by -2\nAnswer: 38711\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-2) + -11 + 11. Let y(l) be the second derivative of 0*l**4 - u*l**2 + 0 + 0*l**3 + l - 3\/20*l**5. What is the derivative of y(n) wrt n?\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*n = -5*s + 36, 2*n = 4*s - 30. Let a = s + -8. Let z = 1 - a. Solve -i + 2 = z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 8:35 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2464898991 rounded to the nearest 1000000?\nAnswer: -2465000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2404, -3\/4, 1, -0.5, -3\/8, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 24 = 3*s. Let a(h) = 2*h**2 - h - 9. Let p be a(-7). What is the greatest common factor of p and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51 and 45?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.4, 2\/17, -0.252, -20, 3, 5.\nAnswer: -20, -2.4, -0.252, 2\/17, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 487*u*z**3 + 4*u*z**2 + 83*u + z**4 wrt z.\nAnswer: 2922*u + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 117, 264, 489, 804, 1221, 1752, 2409?\nAnswer: 3204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 8 = -2*p + 2, -p = -3*b - 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**(2\/3)*x))\/x)**(-32)*(x**(1\/11)\/x)\/x*x*x**(3\/7))\/((x**(4\/7)*x)**(-2\/39))**33 assuming x is positive.\nAnswer: x**(166703\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 67522 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 435*v - 46275. Determine a(185).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -119*p + 361. Let v be n(3). Solve -3*r + 2*s = 6*s, -v*r - 4 = 4*s for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/9 - (-406)\/6. Let i be (2\/5)\/((-74)\/(-3145)). What is the greatest common divisor of i and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-2) - (-1 + -1)) + -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/793 - -2395\/12688. Is 0.1 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**2. Let q(w) be the third derivative of 0*w + 0*w**3 + 0*w**4 + 0 + 2*w**2 + 1\/20*w**5. What is q(s(m))?\nAnswer: 48*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 j when four letters picked without replacement from jujjjujjjjjjjju.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -1062, 624, -7, 5 in increasing order.\nAnswer: -1062, -7, -4, -1, 5, 624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 - 92*x + 101*x)*(-5*x + x + 5*x + 5*x - x - 2*x + (-3 - 2 + 7)*(-2*x + 8*x + 2*x)) as m*x**2 + l*x + c and give m.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36761923?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 - 9*u + 5. Let j be y(4). Solve 2*m = -3 + j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3\/3 - 1165628*z**2\/3 - 169837244920*z\/3 - 339669827344\/3 = 0. Calculate z.\nAnswer: -291406, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**4 - 1406*u**3 - 166312*u**2 - 5359480*u + 5527200 = 0. Calculate u.\nAnswer: -564, -70, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n - 1. Determine s(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2655 + -2654.8. Which is the closest to -8? (a) q (b) 2\/7 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -67*n - 213. What is the units digit of t(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*i = 23, -3*i - 15 = 3*y - 42. What is the remainder when 8 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -476229 + 3913509 = 124*a. Does 30 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.784 + -17.686. Let c = h + 23. Round c to one decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 2*i = 8, -33*b - 5 = -35*b - i for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzjz when four letters picked without replacement from zzjzqzqjz.\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(-6 - (-84)\/18)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8305445 centuries to millennia.\nAnswer: 0.08305445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3689, 4, -33, -3, -4, 1 in increasing order.\nAnswer: -3689, -33, -4, -3, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004329 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (574\/(-12))\/(1554\/1332)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -119, -149, -203, -287, -407, -569?\nAnswer: -779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -11*i + 15. Let l be u(9). Is (-124848)\/l + 2\/(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 4) + -11 + 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*z + 1574 = s, s - z - 802 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18 and 2.4.\nAnswer: -43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**3\/4 + 669*t**2\/2 - 1335*t\/4 = 0.\nAnswer: 0, 1, 445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79826*v**2 + 373026*v**2 - 4*v + 4*v.\nAnswer: 293200*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 4*l - 18. What is the remainder when 53 is divided by l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6971677343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2048 is divided by 57.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3301775 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**2\/3 - 2202*d + 401884\/3 = 0.\nAnswer: 62, 3241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z + 44 + 64. Suppose -m = -4*h - z, 0*m - 15 = m + 5*h. Let l(v) = v**2 - 7*v + 3. Let i be l(7). Sort i, m, -4 in ascending order.\nAnswer: -4, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1277175 != -1277181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5303432 minus -66.7?\nAnswer: 67.2303432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -8*s**2 + 326*s + 12. What is the tens digit of f(18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**4\/2 + 3827*l**3\/2 + 150493*l**2\/2 - 3738795*l\/2 - 1942731 = 0.\nAnswer: -3787, -57, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 768727277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/62 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -0.061, 4, 1\/9.\nAnswer: -0.061, 1\/9, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, 5, 3803, 0.6, 1, 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -182, -700, -1562, -2768?\n\"Answer: -172*p**2 - 2*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 236 by -118.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59358?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 17181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/24 of a week?\nAnswer: 25200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sf when two letters picked without replacement from {s: 1, y: 1, k: 1, f: 1, a: 4}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/65828 and -51\/3507692?\nAnswer: 24553844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-36)\/80*(-1)\/(-12) and 6 + 28*8\/(-320)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30335?\nAnswer: 5, 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(2\/7))\/q*q)\/q)**(-50)\/((q*q\/(((q**(1\/4)*q)\/q)\/q))\/(q\/q**(-1\/6))) assuming q is positive.\nAnswer: q**(-1333\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 32574 and 41.\nAnswer: 32615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 + 38. Let o = -1 - -3. Suppose o*u = -4*g - 10, 3*u + 5*g - g = -7. Put u, a, -3 in descending order.\nAnswer: u, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - x - 1 = 0, 10004*n = 10009*n - x - 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 552935670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 782 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-195)\/(-2925))\/(7\/(-6))\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d + 2*d - d)*(-2*d - 2*d + d + (-3 + 4 + 0)*(2 + d - 2) + 3*d - d - 4*d).\nAnswer: 28*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = x - 7. Let g be 1194\/15 + 4 + 36\/x. Suppose -i + 55 = 3*c, 0*i = -4*c + 2*i + g. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 120\/17 (b) -27 (c) -2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*f - 26 - 42, -31 = -f - 5*u. Let o be ((-7)\/(-2))\/(8\/f). Solve -3*x = 2 + o for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 73 + 23 = 0. Suppose -2 = -2*n + p. What is the third derivative of 6*o**3 - 2*o**2 - 3*o**5 - n*o**3 wrt o?\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 0.3 (c) -60931\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*t + 11, -3*t = 5*m - t - 21. Suppose -5*p = -2*j - 10, -10*p + j + m = -8*p. Factor 2\/5*z**2 + 2\/5*z**4 + 4\/5*z**3 + 0*z + p.\nAnswer: 2*z**2*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tg when two letters picked without replacement from {q: 1, l: 1, o: 1, t: 1, u: 2, g: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -6*a + 2*a. Let g(d) = 7*d - a*d + d**2 + 1 - 2. Is 7 a factor of g(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308262.\nAnswer: 2, 3, 83, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h + 3*k = 5, -6 = -2*k. Let c(x) = -x + x**h + 7*x - 7*x + 0*x + 10. Let f be 0 + 2 + (-2)\/1. Determine c(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 8 = -3*w - w, 5*d = -w + 22. Let y(m) = 4*m - m - d*m + 3*m. Let o(p) = -3*p**2. Give o(y(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9718)\/(-24) - (-21)\/252. Let c = 1217\/3 - v. Let k = 4 - 4.08. What is the fourth biggest value in 1, 5, c, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.024 (c) 0.09 (d) 0.1 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 - 217 = 3*g. Let n be (6\/4)\/((-4)\/g). Is (4\/(-6))\/((-2)\/n) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 7 = -2*c + 1, 3*y + 17 = -5*c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9720*b**2 + 9723*b**2 + 14*b**4 + 2*b**6 + 809*b - 2*b**5 + 140*b wrt b.\nAnswer: 240*b**3 - 120*b**2 + 336*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 8*u + 7*u**2 - 2*u - 8*u**2 + 8 + 2*u**2. Give o(-9).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 371\/(-4) - (1 + (-18)\/24). Calculate the remainder when (5\/15)\/((-1)\/k) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7*c. Let o be u(-2). Let n(y) = -y**3 - 14*y**2 - 15*y - 7. Is n(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3412 - -3412.2. Let s be 5\/(-7) - (-4)\/(-14). Which is the third biggest value? (a) u (b) s (c) 0.5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2191 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34181079?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -182 - -175. List the prime factors of (p\/2 - -3)*-918 - 1.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**16\/(l**23*l)*l*l**11*l**(-25)\/l)**48 assuming l is positive.\nAnswer: l**(-1056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 113 = -65. Solve 5 - 11 = -z*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 31*n**2 + n. Let d(g) = g. Determine o(d(b)).\nAnswer: 31*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*a + 1, -4*k = -a + 2 - 10. Suppose k*c + 205 = 8*c. What are the prime factors of c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252*y = -32*y + 350 + 750. Which is the closest to y? (a) 1 (b) -77 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, n: 1, e: 1, s: 1}. What is prob of sequence enns?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -417*d*x**2 - 37*d*x - 13263846*d - 2*x**3 - 3*x wrt x.\nAnswer: -834*d*x - 37*d - 6*x**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -20.7 - -29.8. Let s = -9 + k. Let r = -2 - 1. Put 1\/6, s, r in descending order.\nAnswer: 1\/6, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -471*u. Let w(t) = -81*t**2. Determine w(c(i)).\nAnswer: -17969121*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3*r - 2*r**3 + 3*r + r**2 + 0 to g + w*r**3 + z*r**2 + c*r and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.21 and 1971.99.\nAnswer: -414.1179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 9 = -5*v, w + 23*v - 27*v = 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 14*u - 12 = 0. Suppose 5*f - 135 = b - 0*b, 2*b = 10. Calculate the highest common divisor of u and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -13*g**7\/210 + g**6\/60 - 9*g**3 + 47*g**2. Differentiate b(k) wrt k.\nAnswer: -52*k**3 + 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 4 - 22. Suppose 543 = r*g - 757. Is g a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 13*g - 9. Let u be r(1). Suppose 2 = t + z, 3*z + 1 = u. Which is greater: t or 2\/137?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2)*p)**47*(p*p**0)**(2\/87) assuming p is positive.\nAnswer: p**(2\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 4852\/1870 + (-2)\/(-11). Let w = b + 2\/85. Put w, -0.4, 2\/73 in decreasing order.\nAnswer: 2\/73, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 5. Let h be -3*(-2)\/j + 0. Suppose -5*w - 30 = -3*d, -h*w - w + 40 = 4*d. 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 tens digit of 21417085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12233*v = -588882 - 115899 - 439831 - 445678 for v.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*g - 5*v, -3*v - 53 + 1 = -4*g. Let h(n) = -n - 4. Let k be h(-6). Solve -k + g = 2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44820 divided by 2490\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 8993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 r when three letters picked without replacement from auruuaruiuaiuuaru?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 10. Suppose 2*z + v - 11 = 0, z + 18 + 4 = 5*v. Suppose -h = z*h - 28. Calculate the remainder when r is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + l = 9 + 90, -3*t + l + 141 = 0. Suppose 365 + 3619 = t*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**3 - 2964219*p**2 - 11856888*p - 11856892 = 0.\nAnswer: -2, 2964223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277329091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-5))\/((-6)\/15). Let x be 7\/2 - 9\/(-18). Suppose -55 = -q - p, q - x*q - k*p = -168. What is the remainder when q is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176824240 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/270 and (-8)\/105*(-432)\/(-288).\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*u - 3*v - 21, u = 2*v + 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (41 + 6 - 41).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.4 (b) 0.6 (c) 6.8 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 5:06 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 4*b**3 + 4*b**3 + 2*b**3 - 4 as t*b + g + d*b**3 + s*b**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from ddddddld?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 53?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -320, -616, -912, -1208, -1504, -1800?\n\"Answer: -296*g - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -257 + 4?\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/52780 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125 and 32300.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 4 = 3*b, 50 = -5*o - 3*b. Let d = o + 35. Solve 4*r + 5*n = r + d, 2*n = -4*r + 14 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (315\/(-189))\/(13 + (-17392)\/1344)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*4*2*sqrt(153))\/(-1*3*sqrt(9)*-4).\nAnswer: 2*sqrt(17)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5309*b. Let v(o) = -18*o**2. What is v(a(n))?\nAnswer: -507338658*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 - (-482 + 1))*2. Calculate the greatest common factor of m and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 25*w**2 + 274*w - 20. Calculate v(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.02, -11, -15, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 27682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 1. Let p = -10 - -12. Suppose -2*w - 2*w = 0. Let l(o) = -1 + w + 0*o + o. Give p*l(h) - 4*k(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.03924 - 0.03924. Which is the fifth smallest value? (a) -0.09 (b) t (c) 0.4 (d) -1\/3 (e) -1\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 9*i - 42. Let s be b(-8). Which is smaller: s or -30?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76388547 to the power of 1\/3, to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01 + 0.29. Put k, -1, -0.2, 0.4 in descending order.\nAnswer: 0.4, k, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -139. Calculate the remainder when x is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 20*r**2 - 650*r - 566. Determine b(38).\nAnswer: 3614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1956, 1964, 1976, 1992?\n\"Answer: 2*w**2 + 2*w + 1952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9.895565 decades?\nAnswer: 1187.4678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69\/(-414)*((-80)\/(-14))\/(-5)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f + f + 4*f)*(-f - 13*f + 4*f) to the form a + h*f + w*f**2 and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*26\nAnswer: -7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, o: 6}. What is prob of picking 2 o and 1 u?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142, -443, -934, -1609, -2462, -3487, -4678?\nAnswer: -6029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n - 20. Let t be p(8). Let f(k) = 22 + 147*k + 17*k - 6 - 165*k. What is f(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -600429, -1200863, -1801301, -2401743, -3002189, -3602639?\nAnswer: -4203093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191*p**2 + 152*p**2 - 443*p**2 + 144*p**2.\nAnswer: 44*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.149 less than -428?\nAnswer: -427.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bnnn when four letters picked without replacement from {i: 1, b: 1, n: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -59222.848 rounded to the nearest 1000?\nAnswer: -59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1110676021, 1110676020, 1110676019?\nAnswer: 1110676018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30373952.\nAnswer: 2, 7, 151, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*(r\/((r\/(r\/((r*r\/r**(-11))\/r)))\/r))\/r))**(6\/7)\/((r\/(r\/(r*r**12*r)*r*r))\/(r\/(r**(3\/5)*r))) assuming r is positive.\nAnswer: r**(-111\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 4085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 11, z: 5}. What is prob of picking 3 l and 1 z?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8538668.\nAnswer: 2, 271, 7877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007834908 rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*k + 58 = -84 + 554 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**5 - 470*a**4 + 3100*a**3 + 9880*a**2 - 12320*a - 32000 = 0. What is a?\nAnswer: -100, -2, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(2\/5)))\/y**0)\/(y**(-1\/2)*y**(3\/10)\/y) assuming y is positive.\nAnswer: y**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2416813875?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/5)\/((-9)\/90). Let o(d) = d**3 + 4*d**2 + 5. Give o(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/35 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 537.5929um in meters?\nAnswer: 0.0005375929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -112130313 (base 4) in base 11?\nAnswer: -630aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/228 and 53\/8.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -72, -1, -2, -298, 4 in descending order.\nAnswer: 11, 4, -1, -2, -72, -298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2393794, -4787596, -7181400, -9575206, -11969014, -14362824, -16756636?\n\"Answer: -b**2 - 2393799*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wgwlwrrlgw. What is prob of sequence wrg?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -741*a - 642. Let f be h(48). Round f to the nearest one thousand.\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 141*z + 4933. Determine d(-35).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*f = -f + 12, 0 = c + 4*f - 7. Let x = 8 - 7. Let s = 92\/7 - 13. Put x, s, c in descending order.\nAnswer: c, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**2 - 27*c - 54 = 0. Calculate c.\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 239, 477, 715, 953, 1191, 1429?\n\"Answer: 238*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8115 - 129887\/16. Let z = -91964081\/270 + 340606. Let l = 92\/27 + z. Find the common denominator of l and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -485?\nAnswer: 485.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + -37. Let d = -9 - c. What is the greatest common factor of d and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13185*d + 13830672 = -13137*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4\/3 - 4*c**3 + 32*c**2\/3.\nAnswer: -2*c**2*(c - 2)*(c + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/144 and -43\/282192?\nAnswer: 846576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 10:47 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2464320700670 - 57.\nAnswer: 2464320700613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -89043 not equal to 3872?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, 26, 0.3, 4, 4\/9, 16, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -154 divided by -22\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/5*n**4 - 4\/5*n**5 + 4\/5*n**2 + 0 + 0*n - 12\/5*n**3.\nAnswer: -4*n**2*(n - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/25 of a century?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**2\/7 + 162054*c - 3403161\/7 = 0.\nAnswer: -378129, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9270 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*a**3*p**3 - 10*a**3*p**2 + 3*a**2*p**3*z + 3*a**2*p**2*z - a*p**3*z wrt p.\nAnswer: 180*a**3 + 18*a**2*z - 6*a*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 8 - ((0 - -9) + -13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5a668b (base 14) to base 2\nAnswer: -1011110010101001100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-84)\/8*(-54 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6954 - 6953.5. Let u = 1.1 - -2.3. Let v = -3 + u. Which is the nearest to 0? (a) v (b) -0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 9*m - 20. Suppose 24 = m*u + 4. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26579 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 90022787?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((d\/d**0)\/d)\/d)\/d)**(1\/8)*d**(-4)\/(d*d**(-1\/2)))**(-1\/6))**(-50) assuming d is positive.\nAnswer: d**(-475\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 3*x + 0*x)*(-x**4 - 12*x**4 - 2*x**4) + (8 + 3*x**2 - 8)*(-2*x**3 + 4*x**3 + 0*x**3).\nAnswer: 81*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -32200 (base 5) to base 13\nAnswer: -cb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8 + 0.5. Let s = 0.2 + h. Which is the second smallest value? (a) 1 (b) 0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-323)\/(-663) + (-1)\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/7 + 259005\/14105 + -17.\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - -121) + -1 + 2. Suppose 409 = 2*u + g. Let d = u + -85. Is d a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8818 - -8812.2849. Let k = u - -0.0051. What is k rounded to one dp?\nAnswer: -5.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 4:51 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4 = -0*o + 4*o, m + 3*o + 8 = 0. Let s be 1\/(-4)*(-8)\/6. Put s, m, 71 in descending order.\nAnswer: 71, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 1 - (-53 + -22) - (-11 + -13 + 26)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3\/4, -5.7, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -d - 3*o, 0 = -2*d - 17*o + 16*o + 12. Solve -2*k = d*p + 1 + 11, 2*k = 2*p - 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69778c (base 15) to base 4\nAnswer: 103031302113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 0)*(-3 - 1). Let m be 3\/3*(1 - 2). Let z = m - u. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1123 + 321 = 20*b + 1838 for b.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3070*l + 2. Let z(g) = -2*g**2. What is z(r(w))?\nAnswer: -18849800*w**2 + 24560*w - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -104*g + 1018*g + 659*g + 262*g**2 + 877*g wrt g?\nAnswer: 524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, d: 2, i: 9, z: 3}. Give prob of picking 2 i.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 265480273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2196, 2084, 1972, 1860?\n\"Answer: -112*w + 2308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 23*r - 111. Let y be f(-15). Is ((-307)\/(-2))\/(y\/238 - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*c - 71*c - 2 = 0. Let p(f) = 2*f**2 - 1 - 6*f**2 + f + 2 + 0*f**c. Suppose 0*d = 3*d + 6. Calculate p(d).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 518183 is divided by 181?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -24. Suppose b + x = d + 2, 3*b + 3*d = -18. What is the remainder when 14 is divided by b\/11 - 450\/(-55)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1952212303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s - 5*s + 3*s - 13. Let q be j(-17). Suppose -3*u = u + q*c - 48, -4*u = 5*c - 53. Calculate the greatest common divisor of 14 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(45)*1 + sqrt(45) + sqrt(45))*-6)\/((sqrt(90)*-1)\/sqrt(10)))**2.\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 - 4)*(3*k + 0*k + 4*k) + 0*k + 0*k - 4*k)*(2*k - 4*k + 5*k).\nAnswer: -54*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8505 and 68283?\nAnswer: 2389905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 203605838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 5*r**2 - 7*r + 9. Let q be z(6). Suppose 119 = 3*m + 5*f, -q*f + 47 = 5*m - 130. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(2057)*-3 - sqrt(2057))**2 + (-2 + sqrt(2057))*6)*3.\nAnswer: 198*sqrt(17) + 493644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5*g**2 - 4*g**2 + 0*g**2)*(-86*g**3 + 2391*g - 2391*g).\nAnswer: -86*g**5 + 516*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k + 172. What is d(-55)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 9:08 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -211, -431, -739, -1135, -1619?\nAnswer: -2191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 20. Let s = p - 16. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1513 is divided by 500?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 - -46. Put -5, a, -2 in increasing order.\nAnswer: -5, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2197\/(-12)*298220\/(-1147). Factor -395\/3*s**4 - 5\/2*s**5 - a - 7865\/3*s**3 - 23660*s**2 - 516295\/6*s.\nAnswer: -5*(s + 13)**4*(3*s + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2752 - 2735. Let c = -3820166399.00000097 + 3820166416. Let x = c - o. What is x rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 6 - 2)*(-3*d - 6*d + 5*d) to r*d + g and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 28*t**2 - 49 - 27*t**2 - 2*t + t + 6*t. Is l(22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -28*k**4 + 78996*k**3 - 54568260*k**2 - 1626466500*k - 4386150000 = 0.\nAnswer: -180\/7, -3, 1425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 45596227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 0.4 (b) -4 (c) 4.4 (d) 4 (e) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4358 times -53\nAnswer: 23.0974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2604, -1603, 68, 2415, 5444?\nAnswer: 9161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 228\/5 - 601\/10. Let a = -1275\/88 - d. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and -262?\nAnswer: -4192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-7)\/m*m**(1\/3))\/((m**(9\/2)\/m*m)\/(m*m\/m**(1\/5)*m*m)))**(-2\/37) assuming m is positive.\nAnswer: m**(251\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.5 + 2.2. Let z = -0.064 + -27.936. Let h = 26 + z. What is the nearest to -0.1 in h, 4\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 1. Suppose 17*n + 6 = 16*n. Let v(q) = -19*q + 32. Let h(r) = n*k(r) - v(r). Find the first derivative of h(l) wrt l.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92.51 - 216.09. Round a to the nearest ten.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-135)*(-1)\/(4\/(-24)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -84*r - 3*r**2 + 6*r**2 + 84*r. Let y(v) = -58*v**2. Determine m(y(f)).\nAnswer: 10092*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 397.3388 meters in kilometers?\nAnswer: 0.3973388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.90955 to 2 decimal places.\nAnswer: 26.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39398785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2 - 19*o - 7. What is the remainder when 65 is divided by j(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/43 + 108\/473. Let v = -162 - -123.5. Let g = v - -38. Which is the smallest value? (a) 0 (b) t (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2291000 rounded to the nearest 10000?\nAnswer: 2290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qe when two letters picked without replacement from {g: 1, q: 1, e: 1, b: 1, o: 2, j: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -3, 50.4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14055 (base 6) in base 2?\nAnswer: -100010010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-67)\/268*((-60480)\/100)\/(-36)\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 266 + (-13)\/3 + (-6)\/(-18). What is the tens digit of 12\/6 + n + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1432229, 5728981, 12890235, 22915991, 35806249?\n\"Answer: 1432251*i**2 - i - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.186 times -24?\nAnswer: -4.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -65. Let a = -25 - g. Round a to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 u when two letters picked without replacement from jjmujuzjj?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 0. Suppose -3 = 4*c + f. What is the units digit of 8\/c*(-12 + 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a4 - -2392764?\nAnswer: 2392a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 416.1.\nAnswer: -416.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**3\/5 - 1312139*i**2\/10 + 53803644629*i\/5 - 80704728867\/10 = 0. Calculate i.\nAnswer: 3\/4, 164017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018950334 - 130023?\nAnswer: -130022.981049666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 295356 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115771, -115704, -115635, -115564?\nAnswer: -115491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-81)\/(-135))\/((-1)\/(-75)). What is the greatest common factor of g and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, 17, -2, 0.01, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + j**2 - j - 1. Let x(m) = 4*m**3 - m**2 + 5. Let o(n) = -5*k(n) - x(n). What is the units digit of o(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 5635 = -74*r - 80*r for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1162 + 8208 = 271*o. Solve -5*v + 13 = 2*k, 3*k - v + 32 = o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 697 = -4*y - 5*z, y = -z - 2*z - 169. Let x = -211 - y. Is 0 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/(i*(i\/((i\/(i\/(i\/(i**(-10)*i)))*i)\/i))\/i)*i*i\/(i\/(i*i**10*i)*i)*i**(-3)*(i\/(i**(-1)\/i))\/i assuming i is positive.\nAnswer: i**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2129\/140 + -125\/7. Find the common denominator of 51\/5 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 12 = -0*n - n, t = 2*n + 10. Let i(a) = -a**2 + a + 8. Let y be i(0). Sort -5, y, t in descending order.\nAnswer: y, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 12*t - 9. Let q be s(13). Suppose -11 = -3*m + 4*y, q*m + 15 = 2*y + 43. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/14527?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j - 2*j + 2896 = 0. List the prime factors of j.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 550*c + 3407*c + 931*c + 5550*c.\nAnswer: 10438*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11\/2 + 73\/14. Let r be (-42)\/(-15)*(-10)\/(-2). Suppose t = 5*l - 1 - 9, -2*t = -4*l + r. What is the closest to -2\/3 in k, 2, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 21*k**2 - 31*k + 7. Let s(z) = 104*z**2 - 156*z + 36. Let x(p) = 3*s(p) - 16*v(p). What is j in x(j) = 0?\nAnswer: 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4290698*b**2 + 32*b - 42584741?\nAnswer: 8581396*b + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -6.6. Let x be (-40)\/(-90) + 260\/(-18). Which is the second biggest value? (a) z (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2756*k**2 - 24827*k - 210. Calculate n(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**5 + 32*q**4 - 341*q**3 + 1210*q**2 = 0.\nAnswer: 0, 10, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*o**3 + 40*o**3 - 118*o**3 - 22*o**3.\nAnswer: -33*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 783392.2 centuries to millennia.\nAnswer: 78339.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4343485?\nAnswer: 5, 868697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3 - u + 4 + 3 + 6*u. Suppose -4*b = -d - 24, -d + 3 - 12 = -b. Let m(q) = -3*q + 6*q - 3 + b. Give 7*m(h) - 4*w(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13059 divided by 49.\nAnswer: -13059\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 7*v - 10*v + 100 = 0, 4*s - 3*v = 124. Find the common denominator of -23\/33 and (-78)\/s - (-8)\/(-30 + 6).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + j**2 + 2*j + 8. Let w be r(0). What is the closest to 2 in 0.1, w, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**4\/6 + 37*a**3\/2 - 51*a**2. Let o be b(19). Is 38 <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15962, 15963, 15964?\nAnswer: 15965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 146 - 140. Calculate the lowest common multiple of r and 25.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.9 (b) -3\/16274 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**3 - 4 + 6*q**2 - 6*q**2 to o + b*q**2 + c*q + w*q**3 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, l: 4, b: 4}. Give prob of picking 1 l and 2 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 6*x**2 + 8. Let s be f(-6). Let v = 1 + s. Solve -2*m - v = m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27942 + 8382481\/300. What is the common denominator of -41\/130 and z?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000112909815 to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3*x - 32, z = 2*x - 4*x + 13. What is the greatest common divisor of z and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*3 + 3 - 19. Let f = 64 + h. Does 42 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 4 - 3)*(-4 + 6 + 2) - 3 + 2 + 0)*(-13334*w - 13397*w + 26207*w).\nAnswer: -3668*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s - 2. Suppose 2*g = -6, g = 5*m + 26 + 1. Calculate x(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3229 + 10131. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -91. Calculate the common denominator of 73\/2 and (-8)\/44 - 918\/j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3460051546.\nAnswer: 2, 7, 31, 47, 169627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/18 - 426\/(-27). Let x(c) = c**2 + c - 9. Let y be x(-9). Let f be 4\/(-20) - y\/(-15). Solve 5*s - l = f, d - s = -1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 23*m**6\/120 + m**5\/12 - 5*m**4\/24 + 825*m**2. Let c(y) = y**3 + y**2 - y. Calculate -5*c(j) + u(j).\nAnswer: 18*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41 - 2*l**2 + 121 - 3*l - 31 - 37 + l**2 to the form g*l + w*l**2 + n and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -3. Let q = 5 + -4.94. Let o = q - -0.94. Which is the third biggest value? (a) r (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-733*k - 523*k + 31*k)*(4*k - 6*k - 3*k + 0*k - 2*k + 0*k + (k + 0*k - 3*k)*(-2 - 3 + 4) + k + k - k) to the form q*k + v*k**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110 - 11221021102121?\nAnswer: -11221021101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (-207)\/(3 + -2). Let i = -65 - 27. Let b = w + i. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*f**2*r + 519*f**2 - 1399105*r*v - 9660*v wrt r?\nAnswer: 4*f**2 - 1399105*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -277 - -397. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -9*s - 6. Let n(o) = 5*o + 3. Let a(t) = -11*n(t) - 6*x(t). Let r(l) = l - 2. Let d(v) = 3*a(v) + 4*r(v). Determine d(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-3\/20)*l)*l)\/(((l*l**(-3\/4))\/l)\/l) assuming l is positive.\nAnswer: l**(29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 163 * -5.\nAnswer: -815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**4\/4 + 2*j**3 - 6*j**2 - 56*j + 62. Let q(u) be the first derivative of v(u). Determine m, given that q(m) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 - 150*z**2 - 145*z.\nAnswer: -5*z*(z + 1)*(z + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.577514171 from -36.898.\nAnswer: -37.475514171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -90*b - 21. Let r be f(1). Let x = r - -246. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/3)*z*z*z**(-1\/2))\/((z*z*z**(1\/7))\/(z\/(z\/z**(-2\/11)*z))))\/(z**4*(z**(-5\/3)*z)\/z*(z*z*(z\/(z\/z**2))\/z)**(-2\/91)) assuming z is positive.\nAnswer: z**(-2939\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 641.46 - -0.09?\nAnswer: 641.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**4\/12 - 3*w**3\/2 + w**2 - 19*w - 1. Determine i(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5492716ng in kilograms?\nAnswer: 0.0000000000005492716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256471 is divided by 596?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 667a6 - 5?\nAnswer: 667a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14692*k**6*y - k**3*y**3 + 1497*k**2*y**3 - k**2*y**2 - 2*k**2 wrt k?\nAnswer: -1763040*k**3*y - 6*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -2*s + 43. Suppose s*d - 28 = -0*d. Suppose -9 = d*m - 10*m. Solve -m*n - 8 = -n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.589037 + -1.62. Let m = x + 0.031. Round m to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 1:39 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2150 is divided by 159?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -10*i - 7. Suppose -2*u = 5*x + 4, -u = 5*x - 4*u + 19. Let q be c(x). Find the third derivative of q*o**5 - 9*o**5 + 3*o**5 - 2*o**2 wrt o.\nAnswer: 420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/3*(-46)\/(-1955)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a millennium in decades?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-341)\/(-121) - (0 + -3).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 3. Let h(x) = -x**3 - 13*x**2 + 15*x + 12. Let w be h(-14). Calculate the remainder when n(w) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8568025 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - (5 - 6\/3). Solve -2*d - b = 9 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -6.7. Let l = x - 0.2. Let f = -366.99 + 367. Which is the closest to f? (a) 2\/11 (b) 0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(60)\/sqrt(6)) + sqrt(11) + (sqrt(33)\/sqrt(3))**2 + -1 - -2*(-2*(sqrt(44) + sqrt(704)) + sqrt(44) + sqrt(44))\/sqrt(4).\nAnswer: -14*sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3238 in -4, 5, -0.05, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgg when three letters picked without replacement from {m: 8, z: 2, u: 1, j: 1, g: 5}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 35258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-one halves of a day?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.717531 hours in days?\nAnswer: 1.029897125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k + 3*k - 9*k.\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 93. Let r = s - -91. Suppose 1 + r = 6*g. Sort -2, g, 53 in decreasing order.\nAnswer: 53, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - 5*n + n)*(-4 - 1 + 3)*(5*n**3 - 3*n**3 - n**3).\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1292192.6 to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rai when three letters picked without replacement from {r: 2, a: 6, o: 3, i: 5, c: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11355*h**3 + 187*h - 7.\nAnswer: 68130*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 221796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 0.021, -2\/3, 29 in decreasing order.\nAnswer: 29, 1, 0.021, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -287 - 168. What is the common denominator of n\/2*(-2)\/170 and 40\/16 + 10 - 10?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkiiikkkii. What is prob of picking 1 k and 1 i?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eleoeeeoeoeoee. What is prob of picking 3 e and 1 o?\nAnswer: 48\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 1 + 0 + 3 - 2 + (-1 + 1 + 2)*(0 + 4 - 3))*(-12 - 286*j - 286*j + 567*j) in the form m*j + r and give r.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5*z**(-2)\/z*(z**(-1)*z)**(-2\/19))**35 assuming z is positive.\nAnswer: z**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16327 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05047 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -23*p - 10. Let a be n(-5). What is the highest common divisor of a and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 (base 8) to base 12\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**5\/30 + n**4\/4 + 2*n**3\/3 - n**2 - 3. Let t(c) be the second derivative of h(c). Determine v so that t(v) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/353 (b) -5 (c) -7\/2 (d) 1\/4 (e) -3 (f) 5 (g) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 6*y - 21*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - s - 6, -5*m + 4 = -8*m - 4*s. Sort 0, -2, m, 9 in descending order.\nAnswer: 9, 0, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1308 and 456928.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/3)*h*h)\/h**(4\/7)*(h**(2\/3)*h)**(6\/29)*((h\/(h*h**(-7)))\/(h*h*h**(-1\/3)))\/((h\/h**0)\/h**(-2\/9)) assuming h is positive.\nAnswer: h**(13187\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250\/(-75)*6\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*b + 15 = 67*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(((v*v**(-1\/2))\/v)\/v))\/v)**(1\/17)*(v\/v**(-1))**(7\/4) assuming v is positive.\nAnswer: v**(62\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 154.163 * 101.2\nAnswer: 15601.2956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**2)**33*w**(-7)*w\/w**7 assuming w is positive.\nAnswer: w**86","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 + -25. Calculate the remainder when t is divided by 12\/18 + 66\/9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -215608 + 524?\nAnswer: -215094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -2. Let u = m + 121. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j = 0. Suppose -4*q = 3*k - 23, q + 3*q + 4*k - 28 = 0. Let x be 40\/120 + (188\/6)\/q. Solve -3*c + 2*a + 8 = j, c - 4*c = 4*a + x for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3800 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 16*w**2 - w - 23. What is n(-16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**3 - 75*n**2 - 135*n + 694. Calculate i(39).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 403859034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n + 10*n - n**3 - n**3 + 11*n.\nAnswer: -2*n**3 + 24*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -880 - 876 + 1756 - 2*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u**2 + 56*u**3 + 48*u**3 - 76*u**3 - u. Does 17 divide y(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16216 - 14776. Calculate the greatest common factor of 648 and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/6*(-1 + -13))\/(72\/504)*-6.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8544 divided by -16\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (1 - 5) + 11 - 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**2 + 6*h - 35. Let x be v(13). Let s = x - 139. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 140753 - 22?\nAnswer: 140731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 2. Let s(p) = -16*p**2 - 28. Calculate -4*s(d) - 56*u(d).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -21*b - 90. Let f(g) = 11*g + 45. Let u(x) = -5*f(x) - 3*s(x). Let r be u(-5). Solve 2*y - 8 - 8 = 2*i, 4*y - 5 = -r*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (684\/120)\/19*80\/444\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-792)\/462)\/(8\/(-224)*-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41bba (base 14) to base 5.\nAnswer: -20034403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 3. Suppose 0 = -k*v - 0*v + 5*i - 20, 4*i - 16 = -v. Suppose v = 2*c - 6*c + 48. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 275 and 131975?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence me when two letters picked without replacement from nnmneoe?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((((-1 + sqrt(605) - sqrt(605)) + -5 - sqrt(605)) + 5)*-5*-6)**2.\nAnswer: -2727000 - 99000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1225*t - 2*f = -1227*t + 16, -t + 3*f + 14 = 0. Suppose -4 = 3*c - 2*c. Let l be c*3*(-1)\/(-3). Put l, t, -5 in ascending order.\nAnswer: -5, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14909 is divided by 8340.\nAnswer: 6569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 7*n - 18 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -255, 5, 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p - 24 = -8*p, -4*k + 5*p + 11226 = 0. What are the prime factors of k?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - (sqrt(80) - sqrt(80)*-5)\/sqrt(4) - sqrt(20))\/sqrt(4).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + b = -18. Suppose -14 = b*o - 7*o. Let z(f) = 5*f**3 - f + 2. What is the remainder when z(2) is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (0 + (7 - 7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 - 75 + 226 + 439 + 2*k**2.\nAnswer: k**2 + 590","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 1. Let b(c) = -29*c + 3. Let y(q) = -b(q) + 6*n(q). Find the first derivative of y(z) wrt z.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*i + 199 + 29, 0 = -4*g - 2*i + 228. Suppose 5*v + g = 187. Let n = 28 - v. Solve -n = -3*q + q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = y + 64, -2*r = -0*r + 5*y - 4. Let m be (-2 + r\/5)*10. Let g(c) = 2*c**2 + 4*c. Does 12 divide g(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15296*7422.\nAnswer: 113526912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 63541233993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 5:32 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -6*(2*(sqrt(143) + (sqrt(143) + sqrt(143)*-5 - sqrt(143))))\/(sqrt(704) - 2*sqrt(704) - sqrt(11)))**2.\nAnswer: -64*sqrt(13)\/3 + 3364\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*d**5*o + d**2*o + 2*d*o - 2*d - 2*o wrt d?\nAnswer: 200*d**3*o + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -510.4 and -0.5?\nAnswer: 255.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.2 + 1. Which is the nearest to 1? (a) -4 (b) m (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/1791 and -85\/4179?\nAnswer: 12537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**4 - 403915*c**3 - 1615740*c**2 = 0. Calculate c.\nAnswer: -4, 0, 80787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**2 - 2*v + 7. Let q(g) = -g**2 + 3*g + 5. Let r be q(4). Let d(w) = w**2 + w - 1. Let m(j) = r*b(j) + 4*d(j). What is the tens digit of m(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 40 = 4*b. Suppose b = -g - 4*o, -5 = -5*g + o - 0. Suppose 7*i - 6*i - 2 = g. Solve -18 + 7 = -4*x + 3*w, i*w = 3*x - 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/1)\/(0 - 3\/6). Suppose 0 = 44*p - 42*p - y. Factor -1\/2*b**2 + p*b - 2.\nAnswer: -(b - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of w**5 - 96*w**3 + 198*w**2 wrt w.\nAnswer: 60*w**2 - 576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 7:12 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 451 (base 11) to base 5\nAnswer: 4130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 - 3*p + 525. Let b(h) = 4*h. Give n(b(z)).\nAnswer: 32*z**2 - 12*z + 525","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 136*w**2 - 3*w + 26. Let o be n(9). Suppose 3*b - 86940 = 5*k, 4*b = -b + k + 144922. Let p = b + o. What is p rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 69*v**3 - 9*v**2 - v + 55. Is g(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**3 + 3*b**3 - 2*b**3)*(3 - 3 - 2) + 5*b**2 + b**3 - 49*b + 3*b**2 + 52*b.\nAnswer: -7*b**3 + 8*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1168*d**2*n*u + 3*d**2*u - 3*d**2 - 2*d*u + 51*n*u + 15*u + 276 wrt n?\nAnswer: -1168*d**2*u + 51*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -8 in increasing order.\nAnswer: -8, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*z - 139 + 195. Which is the third smallest value? (a) -0.1 (b) -0.3 (c) 2 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 170 + 0?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/7 + 114\/21. Suppose h = k - 48. List the prime factors of k.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - (sqrt(99) + -1*3*sqrt(99) - sqrt(99))) + sqrt(99) + sqrt(99))\/sqrt(9))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -128 - -208. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1297046 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 1. Let s(n) = -62*n**3 + 124*n**2 - 124. What is -124*q(l) + s(l)?\nAnswer: -62*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 285*z**3 + 18 - 4 + 2*z - 288*z**3 as s*z**2 + a*z + g + x*z**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 20*y**2 - 15*y. Let d = -960 + 965. Suppose -5*z = 3*g + 73, -d*z + 2*g - 6*g = 69. Let i(h) = 7*h**2 - 5*h. What is z*i(b) + 6*l(b)?\nAnswer: b**2 - 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - -10000101?\nAnswer: 10001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-15)\/27*-6*52815\/5?\nAnswer: 2, 5, 7, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mq when two letters picked without replacement from bbqgbqqqqggqbqqqqqm.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 1:11 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(39)\/(sqrt(9)\/sqrt(3)) + sqrt(117)*-2)*-2)**2.\nAnswer: 6500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13576 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.6 + -6. Let y = f - 0.9. Let r be (-2)\/(-4)*(2 + -2). What is the second biggest value in y, r, 4\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = q - 3*j - 5, -3*j + 7 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6494 and 1784?\nAnswer: 5792648","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, q: 2, m: 5, k: 4, o: 5}. What is prob of sequence qi?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, -14, 0, -3 in ascending order.\nAnswer: -14, -7, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 1. Suppose 0 = -4*j - 20, 4*j = 3*p + 7 - 30. What is the remainder when 2 - -2*q\/2 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.09423 - -0.09423. What is the closest to 0.3 in -0.2, 0.06, h, 1.2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 5. Let u be z(0). Suppose -k + u - 1 = 0. Suppose j = -5*t + 52, -k*t + 343 - 62 = 5*j. What is the remainder when j is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b9a7aa (base 13) in base 8?\nAnswer: -43037716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*f - 4, 27*f - 18 = 24*f. What is the nearest to 0 in q, -1, -260\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 >= 128\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*z + 16. Are z and -38\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7*b - 174 = -11*b, 75 = d + 5*b. Does 36 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13385 to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 24*q**2 - 23*q + 22. Let w be h(-23). What is the highest common divisor of w and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -326 - -326.251. Let s = 0.251 - k. Which is the fourth biggest value? (a) 1\/8 (b) s (c) 0.5 (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 54*r - 112. Give v(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + (-153)\/(-18))\/(196\/(-2128)).\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 490771603 + 5?\nAnswer: 490771608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*v**5 + 4*v**5 + 25*v**5 + (-3 + v**2 + 3)*(4*v**3 - 2*v**3 + v**3).\nAnswer: 23*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9865.411 microseconds?\nAnswer: 0.009865411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - t + 2*t)*(2*t**2 - 2*t**2 + 2*t**3) + (-3 + 3 - 2*t)*(-2*t**3 + 5*t**3 - t**3) - t**4 - t**4 + t**4 + 16*t**2 - 16*t**2 + 12*t**4.\nAnswer: 5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 14*r - 17. Let c be t(5). Let f = -51 + c. Suppose -280 = -3*g - f*g. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = l, -5*o + 670 = -4*l - 2268. List the prime factors of o.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**3 - 10*p**2 + 32*p - 18. Let u(j) = 2*j**3 - 15*j**2 + 33*j - 19. Give -3*o(i) + 2*u(i).\nAnswer: -2*i**3 - 30*i + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -4*h - 125, 5*y - 9*h = -2*h - 125. Let q be ((-255348)\/42 + 2\/(-7))*y. Round q to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43.978 + 0.022. Let l = f + -44.0031. What is l rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 + -65. Suppose z = 5*x - 48 + 3. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 196*q - 179*q - 3.\nAnswer: 17*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 5. Let a be g(6). Let f(n) = n + 21. Suppose -4*p = -4*h + 64, -2*p + 5*p = -2*h + 7. Calculate the remainder when f(a) is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2773, 4152, 5531, 6910?\nAnswer: 8289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, u: 3, s: 5}. What is prob of sequence ss?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 2*k - 5. Let s be o(4). Find p, given that p**3 + s*p + 4*p**3 - 3*p**2 - p**3 - 7*p**3 + 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -51378\/21067?\nAnswer: -51378\/21067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1236*i - 14*i**3 + 1236*i.\nAnswer: -14*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 3 + 3)*(y - 1 + 1) + 2264*y**2 - 4213*y**2 + 2234*y**2 - 4 + 2*y**2 + 4.\nAnswer: 288*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7720793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3392*b + 4*j - 77 = 3405*b, -5*b + 3*j = 34 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -85.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6792*16.1\nAnswer: 109351.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4 + 55*z**3 - 623*z**2 + 2009*z.\nAnswer: -z*(z - 41)*(z - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 63*d**2 + 2932. Let n(b) = 32*b. Calculate n(m(t)).\nAnswer: 2016*t**2 + 93824","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1430913, 1430800, 1430687, 1430574?\nAnswer: 1430461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eighty-seven halves of a micrometer?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7132771.\nAnswer: 19, 83, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16896 and 336?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + 8\/(-2) + -6. Let w = 4 + 6. Let b = w + -6. What is the third biggest value in b, t, -1\/10?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 969 - 1985\/2. Let d = 42590 - 851413\/20. Let b = -81\/10 + d. Calculate the common denominator of b and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06 - -3.06. Suppose -20 = -6*c + c. Suppose -5*p = -h - 10, -6*h + h - c*p + 8 = 0. What is the closest to 0.2 in h, -2\/11, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/6 (b) 4 (c) -0.2 (d) 45\/7 (e) 1\/11 (f) 2\/3 (g) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 32 - 68 = 0. Let t be -1*(-2)\/1 - (-1)\/1. Let i = t - c. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghd when three letters picked without replacement from {g: 3, d: 3, i: 1, h: 1, f: 6, l: 1}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/2 in 0.5, 86\/17, -0.1?\nAnswer: 86\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391075.\nAnswer: 5, 15643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n + 5 = -3*n, -4*n = 4*d + 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 868.484 - 63.\nAnswer: 805.484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*y**2 - 73*y**4 + 66*y - 220*y + 2 + 0*y**2 - 9*y**2 + 72*y**4 in the form d*y**2 + p*y**4 + u*y + r + f*y**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (22235\/(-17610))\/(14\/66). Let u = p - -14\/587. What is the common denominator of u and 40\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3796, 15307, 34486, 61327, 95824, 137971, 187762, 245191?\n\"Answer: -j**3 + 3840*j**2 - 2*j - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 16760149451295?\nAnswer: 16760149451294.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44765 - -926026. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 2*d = 2*j + j - 33, -13*d = -18*d - 85 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7097 + -6905. What is the highest common divisor of a and 1024?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 - 2*a + 1. Let g be w(1). Let y = 26 + g. Suppose 0 = -3*p - 5*j - 1, 3*p = -4*j - 6 + 10. Calculate the remainder when y is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, m: 1, y: 1, l: 1, o: 1, j: 2}. Give prob of sequence mj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8*2\/(-4))\/((-86)\/(-28208)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -3.2, 97, -12.3 in increasing order.\nAnswer: -12.3, -3.2, 23, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5420 times -1\nAnswer: 5420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -1259 and -16779 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 1:37 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frsg when four letters picked without replacement from {g: 1, t: 2, f: 1, s: 4, l: 1, r: 3}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 106?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2 = -2*s - 8, -4*s + a + 16 = 0. Find the second derivative of 0*j - j + 2*j**3 + s*j wrt j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2688)*-1 + sqrt(2688) - sqrt(2688))*5)\/((sqrt(66) + sqrt(66) + 3*(sqrt(66) + sqrt(66)*-1))\/(sqrt(121)\/(-2*sqrt(11)))).\nAnswer: -50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-5 - (-3 + 5) - -3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 352 and 288?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 2. Let w(y) = -3. Let l(s) = 1. Let o(m) = 4*l(m) + w(m). Let v(b) = -2*o(b) + r(b). Calculate v(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 2*t + 4. Let n = 19 - t. Let f(j) = j**3 - 3*j**2 + 7*j. Let o be f(3). Calculate the greatest common divisor of n and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -28, -72, -134, -214, -312, -428?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 11*z + 20. Let t be c(-14). Let y = t - -26. Sort -1, 8, y.\nAnswer: -1, y, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230832241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 366 and 102?\nAnswer: 6222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 - -60. Let l be -3*(-12)\/i*2\/(-6). Calculate the highest common divisor of l and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**3 - 4*f**2 - 9*f + 7. Let m be u(-7). Let y be m\/1386 + 4\/(-22). Which is greater: 1\/13 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405023 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: Simplify (w\/(w**3\/w*w)*w*w**(-1\/6)*(w\/w**(-5))\/(w*(w*(w*w*w\/(w\/(w**1*w*w))*w)\/w)\/w))\/((w**(-1\/2))**(-33))**(-9\/5) assuming w is positive.\nAnswer: w**(428\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/152 and -67\/48.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-1\/4))\/f**2)**27*f**7\/(f\/f**(4\/9))*(f*f*f**9)\/(f**3*f) assuming f is positive.\nAnswer: f**(-245\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 150. Let q = -10 + 14. Suppose 4*i - q*v = 52, -i + 3*i + 3*v - 11 = 0. Calculate the highest common divisor of i and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 12 = 4*p, -5*p = -2*f - 6*p. Let g = 22 - f. Let m = 14 + -10. Calculate the highest common factor of g and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 5*n. Solve -t - t + 8 = n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 6*(sqrt(300) + -1 - sqrt(300)) + (-2*(sqrt(300) + sqrt(300) + 1))**2)*-4.\nAnswer: -19212 - 640*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**6\/120 - 2*b**5\/15 + 5*b**4\/24 + 10*b**3\/3 - 24*b**2. Let t be i(8). Is (2127\/12)\/(-5*(-1)\/t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 515510*h - 200. Let s(j) = 37*j - 91. Let x be s(3). Let w be c(x). Round w to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 150 = x. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millisecond in microseconds?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-43)\/(-9) - 22\/693*-7. What is the second biggest value in 7\/3, -5, -0.2, q?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.6 - -13. Let d = -8.6 - t. Let r = d - -8. Which is greater: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4 + -4*(2 + sqrt(1700) + -1*sqrt(1700))*1))**2.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2. Let l(p) = 71*p - 9. Let c(m) = 7030*m - 888. Let t(q) = -3*c(q) + 296*l(q). What is y(t(h))?\nAnswer: -10952*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4 = b, -b + 24 = -0*x - 2*x. Let v be (7\/b)\/((-1)\/(-32)). Suppose 5*f - 129 = v. Calculate the remainder when f is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -24*c**2 + 10*c + 10. Let t(f) = -8*f**2 + 3*f + 3. Let q = 692 + -689. What is q*d(j) - 10*t(j)?\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, v: 1, b: 14}. Give prob of picking 1 b and 1 o.\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - -49 - (13 - (8 - (15 - 14)))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 351918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*y + 2 = 0, d + 0*d = -4*y - 1. Let t be ((-11)\/22)\/(d\/14). Solve 3*z + 5 = -t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**2 + 3*o**2 + 7341*o + 4*o**2 - 7341*o.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2282?\nAnswer: 2, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -0*y - y + 5428, 5*a + 5*y - 5440 = 0. What are the prime factors of a?\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 4116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*t - 12*t + 9*t - 8*t to c + y*t and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/((w**(1\/8)\/w)\/w)*(w**(-3)*w)\/w*(w\/(w\/(w\/(w\/w**(-1)*w))))**(-2\/31) assuming w is positive.\nAnswer: w**(249\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 188 + 21. Suppose 159 = 3*s + 5*a, 4*a = -3*s + j - 47. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 - (-76 - -71) - (-28 - (11 + -4))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w**2 - w**2 + 4*w**2. Let a(o) be the first derivative of o**2 - 8. Determine a(u(s)).\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - x + 317 = 0, u + 77 = 2*x + 10. Let f = 88 + u. Calculate the highest common divisor of f and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 11*m**2 - m - 13. Let o be y(-11). Let h be (o\/(-3))\/((-23)\/(-138)). Suppose -52 = -x - 3*x. Solve 0 = -h*w - x - 7 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 2*m + 2*o + 12, -3*m + 2*o + 20 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 5*j + 79 + 171, 3*j = 3*d - 156. Let z = 31 + -14. What is the highest common factor of z and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10130.\nAnswer: 2, 5, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -10*j + 2. Let c be m(1). Let p = c + 9. Let v(s) = 2 - p + 4*s - 1. Let n(y) = 2*y**2. Determine v(n(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 21. Let h be (-1)\/p - 55\/(-20). Sort -4, 0, h in decreasing order.\nAnswer: h, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 74 and 12.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34334600 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, a: 2}. Give prob of sequence aa.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*s - 5*p, 4*s + p = -p - 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 620 and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yuusutzstusctu. Give prob of sequence tsy.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((272\/(-3451))\/8)\/((-1)\/7)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95 and 2831.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -144*q. Let k(b) = 2*b**2. Calculate k(m(g)).\nAnswer: 41472*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 1 (c) -0.3 (d) 4 (e) 1\/2 (f) 0.0567 (g) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-8))\/(-5)*(-3 + 4). Let k = 40 - 41. What is the closest to f in 2, -1\/5, k?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11312\/(-630))\/101*(-9)\/(-60)?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + c**3 + 0*c**3 + 67 + 36*c**2 + 3*c**3 + 3*c**3.\nAnswer: 7*c**3 + 36*c**2 + c + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 18 = 3*d, -9*m + 17*m + 4 = d + 4*m + 5*m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -0.4 in increasing order.\nAnswer: -5, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 756389.\nAnswer: 101, 7489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 79302 divided by 6\nAnswer: 13217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*d + 1512 = -45*d. Let o = d + 199. Solve 11*g - 9*g = o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/11)\/(-10)*10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 723042217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 3 - 13 - (405 - 375)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bd when two letters picked without replacement from dddddebbbddbd?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -53176.\nAnswer: -1\/53176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 71, 142, 213?\n\"Answer: 71*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -112 + 107. Put -1, b, 3, -3 in increasing order.\nAnswer: b, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-480)\/(-128))\/(15\/(-48))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1970 + 3844 = -153*h. Sort -147, -2\/11, h in increasing order.\nAnswer: -147, h, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w = 24*r + 77, 2*w - 145*r + 150*r - 22 = 0 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -644 + 317 + 327 - 214*w**2.\nAnswer: -214*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 264 + 20c6b?\nAnswer: 21202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 127695117327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s. Let x(u) = 6119470*u + 1. What is x(i(d))?\nAnswer: -12238940*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*n + 18. What is the remainder when 47 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + -8.8. Let j = -0.065 + 0.131. Let y = 0.934 + j. Which is the second biggest value? (a) l (b) y (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 8*r - 492. Give n(-28).\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -153 + (49\/(-63) - 2\/9). Let o be p\/(-22)*4\/14. What is the second derivative of 10*d + 47*d**o - 31*d**2 - 43*d**2 wrt d?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 2*b. Let w be (0 - -1)*3 + -16 + 12. Put -4, w, b, -3 in descending order.\nAnswer: b, w, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5}. What is prob of picking 3 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2) + ((-45)\/6 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/19 in 0, 1\/456, -0.2, -2\/7, 3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -306824, -1227304, -2761438, -4909226, -7670668, -11045764, -15034514?\nAnswer: -19636918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2579.111ug?\nAnswer: 2.579111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (18*6\/(-8))\/(-9)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -243*k*l - 225*k - 3957230*l wrt k?\nAnswer: -243*l - 225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d - 4. Let z(t) = -1 - 2 + 3 - 3 - t. Calculate 3*k(h) - 4*z(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 84705878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 8. What is the closest to -0.1 in -11, 4\/7, p?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1939 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = d + 3*d. Suppose -4*c - d = -2*c + 3*s, -2*s = 10. Put 1, 2, c in ascending order.\nAnswer: 1, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i - 1. Let z be o(5). Let m = 8 + z. Let c = 9 - 1. What is the remainder when m is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -143297 - -1c0?\nAnswer: -1430b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 - -43. Let x = -0.69 + 0.89. Let l be ((-10)\/4 - -1)*2. Which is the biggest value? (a) x (b) y (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 725014 (base 8) to base 15.\nAnswer: 4b245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 8 + 8*u + 3*u**2 to o*u + i*u**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 1 = -19. Suppose -4*i = -c - 4, -17 = -c - 5*i + o. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2109 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.02233 to 1 dp.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 304446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -11099915, 0.3, -1 in increasing order.\nAnswer: -11099915, -1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51784\/36239 + -2\/5177. Let d = 1.18 + -1.15. Which is the third smallest value? (a) i (b) -3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5*v + 17. Let y be r(5). Let a be (-420)\/y*4\/5. Let j = 93 - a. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 + -91 + (-43 - -11).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5035007*j*n + 40528*j - 37 with respect to n.\nAnswer: -5035007*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -12*u - 268. Calculate a(-23).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b**2 + 4*b**2 + 1105747 - 1105747 + 1020*b as o + g*b + a*b**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z + 1315 = 1347 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/84 and -101\/84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4 - 16*y**3 + 34*y**2 - 20*y.\nAnswer: 2*y*(y - 5)*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-47)\/329 - (-1550)\/1050. Factor -x*v**3 + 5\/3*v**2 - 1\/3*v**4 + 0*v + 0.\nAnswer: -v**2*(v - 1)*(v + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 3*o**2 + o - 1. Let y(l) = 7*l**3 - 544*l**2 - 28*l + 15. Let r(g) = -6*u(g) - y(g). Find the second derivative of r(t) wrt t.\nAnswer: -6*t + 1052","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70\/11 or 2\/111?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13510531 and 30209?\nAnswer: 1777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + -2 + 1 - -2. Let r be 10*(b\/2 + -1). Let j be ((-2)\/(-12))\/(r\/15). Sort -4, j, 2 in decreasing order.\nAnswer: 2, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21132 - 2?\nAnswer: -21200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1329 and 1638678264.\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1023 divided by -18\nAnswer: -341\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 3*r**2 - r - 2. Give o(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from wpbppddcuuppcwbpu?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 7026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.66102 less than -25131?\nAnswer: -25129.33898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 3*l + 4. Let o be p(-3). Suppose 4*j + 5*f = o, 3*j - 7 = 3*f - 4. What is the lowest common multiple of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1133425 or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(2\/11))\/(l**(-2\/9)\/l))**(-3\/46)\/((l**(-1))**7\/((l*l**4)\/l**(1\/2))) assuming l is positive.\nAnswer: l**(17219\/1518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*j + 18. Let z(h) be the third derivative of -h**5\/60 + h**4\/6 + 2*h**3\/3 + 434*h**2 - h. What is z(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6869670.\nAnswer: 2, 3, 5, 228989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11216 is divided by 11025.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/4 + 957*j**2\/2 + 87465*j\/4 + 259749\/2.\nAnswer: 3*(j + 7)*(j + 42)*(j + 589)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 7:59 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/(-9) + (-8 - -5). Let n = -2\/129 + -383\/258. Let k be (-9)\/(-15) - (3 - 2). Sort n, k, i in descending order.\nAnswer: i, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2465?\nAnswer: 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/337533 or 1?\nAnswer: -2\/337533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/((-1863)\/3714 - (-2)\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + j + 0 + (1 - 5 + 3)*(198 - 198 - 11*j) + 22*j - 11*j - 10*j + (2 - 1 - 2)*(j - 3*j + 6*j).\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 61465777 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 94295, 379907, 855929, 1522361, 2379203, 3426455, 4664117?\n\"Answer: 95205*f**2 - 3*f - 907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 424304333 to the nearest integer?\nAnswer: 20599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163010331?\nAnswer: 3, 11, 17, 96857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -249, -645, -1029, -1395, -1737, -2049?\n\"Answer: v**3 - 403*v + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c + 2. Let h be 64 + -4 + 3 + 3. Let d = -64 + h. Suppose 4*b - d = 14. Calculate l(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226 = 5*t - 304. Suppose -2*n - t = -0*n. Let m = n + 157\/3. Are m and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of 227*r**6\/120 + 211*r**4\/24 + r**3\/3 + 138*r**2 + 1. Find the second derivative of c(y) wrt y.\nAnswer: 1362*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001001 + 11?\nAnswer: -1000000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 2:19 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -3. Let h = -1.39 - -1.42. What is the biggest value in f, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15780 or -15779?\nAnswer: -15779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/516 and -119\/20.\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6}. What is prob of sequence uuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and -0.1556?\nAnswer: -0.014004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*c**2*q**2 + 52*c**2 - 2*c*q**2 + 556*c wrt c?\nAnswer: -12*q**2 + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -334, -443, -662, -1027, -1574?\n\"Answer: -6*m**3 - 19*m**2 - 10*m - 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 37*i - 32. Let a be b(38). Let n be a - -9*3\/(-9). What is the greatest common divisor of n and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6171 is divided by 46?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/289 less than 226846?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (0 - (-6 - -4)) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2910 + 2885. Is -11 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 11 = 2*v, 4*b - 3*b + 1 = -2*v. Suppose -v + 6 = p. Which is bigger: p or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -547*d**3 + 58*d**2 - 1004*d. Let n(v) = -273*v**3 + 25*v**2 - 502*v. Let z(k) = 7*n(k) - 3*s(k). Find the second derivative of z(t) wrt t.\nAnswer: -1620*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32.01 - 31.91. What is the closest to 0 in 3\/5, m, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 556*i**3 + 365*i**3 - 1 + 1.\nAnswer: 921*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 x when three letters picked without replacement from xxhr?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82*v**4 - 7*v**2 - v**3 + 146*v - 148*v + 2*v**3 + 60*v**4 - 3 to r*v**4 + p*v + k + s*v**3 + a*v**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000872009 rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**4\/12 - 5*h**3\/2 + 41*h**2\/2 + 32*h. Let i be u(12). Solve -16 = 4*t + 2*y, -2*t - i*y = -4 + 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334*l + 97*l - 181*l.\nAnswer: -418*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from {i: 2, w: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 4 (b) 20 (c) -2520 (d) -1.4 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*p - 45*p + 18420. List the prime factors of p.\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -72973293, -5, 1, 2 in ascending order.\nAnswer: -72973293, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 249530*x**2 - 9*x + 8. Suppose 242*p = 237*p - 40. Let g be q(p). What is g rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 30, 258 in decreasing order.\nAnswer: 258, 30, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -50, 0, 2\/13, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 83631391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*y**4 - 469410*y**2 - 58266*y - 33 wrt y.\nAnswer: -60*y**2 - 938820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 232, 463, 692, 919, 1144, 1367?\n\"Answer: -u**2 + 234*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 7*a**2 - 4*a + 3. Suppose 6 = 4*f - 14. Let x be s(f). Find the common denominator of -151\/6 and 4\/6 + x\/24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/4128 and -19\/992.\nAnswer: 127968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1671?\nAnswer: 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.43*53\nAnswer: -22.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17885551 is divided by 2980921?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/2 - 20*s**3 + 246*s**2 - 720*s - 2592.\nAnswer: (s - 18)*(s - 12)**2*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -4, 4\/1319, 2\/5, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 7)*((-2 + 2 + 2)*(0 - 1 - 1) - 5 + 0 + 6 + 0 + 2 + 0)*(3*q - 3*q - 2*q)*(2 + 7 - 2).\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.856372726 to 3 decimal places.\nAnswer: -1.856","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3 = 12, -4*z + 3*f = 5. Let u be (3 + -2)*8\/2. Let j be z\/((-4)\/u) + -4. Let g(q) = q**2 + 5*q - 5. Determine g(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6540644 (base 7) to base 15.\nAnswer: 10bede","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 20*z**2 - 8*z - 7. Calculate x(-17).\nAnswer: -738","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29400 + 30139.02. Let n = -738.9680005 + u. Let m = n - 0.052. What is m rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125182, -500450, -1125804, -2001244?\nAnswer: -3126770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 745?\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -202 + j**3 - 25*j**4 - 8*j**2 + 204 + j**3 to the form p*j**3 + c*j**4 + h*j + v + z*j**2 and give c.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 9*m + 344 = 0. Let s = 132 - m. Round s to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a + 31. What is the tens digit of w(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -2\/9 (c) 253\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -12 + -9 + 7 - -12. Let a(q) = -q**3 + 2*q**2 + 5*q + 3. Determine a(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-42)*(-364)\/(-130)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**4 + 3*m**3 + 7*m**2 + 13*m - 2. Let d(j) = -j**4 + 2*j**3 + 6*j**2 + 11*j - 1. Suppose -s - 36 = 11*s. Let t(w) = s*p(w) + 4*d(w). Factor t(g).\nAnswer: -(g - 2)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 68 = -3*g. What is the remainder when 18 is divided by g\/3 - (-2)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102012022121 - -1000?\nAnswer: -1102012021121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/250 + (10 + -6 - 63\/10)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1.1891367 times -3\nAnswer: 3.5674101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 27 = 6*f + 21, 4*f - 33*r + 23 = -4*r - 30*r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -944 (base 13) to base 7\nAnswer: -4412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/473368 and 5\/504?\nAnswer: 4260312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 823726 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/((-90)\/129) - 3. What is the biggest value in -5, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*y + 9 + 199. Suppose 1 - 5 = -o, l + 2*o = 11. Suppose d + 294 = 6*d - l*c, c + 238 = 4*d. Calculate the remainder when d is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 20*u = -352. What is the remainder when 87 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 13\/2. Let l = -62801\/6 - -10466. What is the third biggest value in l, c, 0.06?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -18*x - 4. Let f(w) = -18*w - 3. Let d(s) = 3*f(s) - 2*t(s). Is d(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 125, 4, -31 in descending order.\nAnswer: 125, 4, 4\/3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 - 16572*r.\nAnswer: r*(r - 16572)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 3*r = 5 + 18, 5*g = 2*r + 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b + 21. What is t(11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -478 - -82. Do -1 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 133012452, 133012453, 133012454, 133012455, 133012456, 133012457?\n\"Answer: v + 133012451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -438355 divided by -1\nAnswer: 438355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1823 is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 1 + 1)*(0 + 0 + 4) + 0*l + 0*l + 2*l + (-2 + 3 + 0)*(l - 4*l + 2*l) + 4*l - l - 2*l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 634 and 1254686.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 5. Let i(p) = -p**3 + 2*p**2 + 3*p + 2. Let d be i(3). What is the second derivative of -2 + j - a + 2*a**d wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(6912) + 1 - sqrt(6912)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 4\/663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 56 = -3*g. Suppose 2*p = z - 3, 0 = -3*z - 5*p - 4 - 9. Let d be (z\/(-2))\/((-4)\/(-16)). Calculate the greatest common divisor of d and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 425.782431 to the nearest integer.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -68568*j - 1714200. Determine m(-25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 150 = -2*b - 34, -4*t - 3*b + 156 = 0. Suppose 5*z - 14 = 11, x = -3*z + t. What is the first derivative of -22 + 32 - 32*n**3 + x wrt n?\nAnswer: -96*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.663 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1228931 is divided by 136545.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -10, 1\/2, 0.049.\nAnswer: -10, -3, 0.049, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -638*u**2 + 629*u**2 - 41 + 1130*u**5 + 28*u**5 wrt u.\nAnswer: 69480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 10:05 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2161 = 2*i, 2*r = -0*i + 3*i + 1432. Suppose -4*l + 3*n = -r, 535 = 3*l + 3*n - n. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -6.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 5*s**2 - 3*s + 5924. What is the hundreds digit of c(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 0. Suppose -l*j - 112 + 24 = -r, 4*j = -5*r + 468. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b + 24*b = 0. Let w(a) be the third derivative of -a**6\/120 - a**5\/60 + a**4\/24 - 11*a**3\/6 + a**2. Calculate w(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157420 is divided by 1223?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 1:07 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 77, 64, 55, 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 + (-27)\/(-15) - 2783\/1485 and 119\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 144381*r**3 - 6*r**2 + 554797*r wrt r.\nAnswer: 866286*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 3 - 1. Let l be ((-2)\/(-1) + -11)\/(-1). Suppose -q = -l*q. Solve 1 = -y*x + 5*f - 1, x + 2*f + 1 = q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*w - 240 = 33*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 1 + 1)*(-3 + 2 + 0) + (-3 + 4 - 2)*(-5 + 3 + 6))*(h - 2*h - h) to the form n + k*h and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13012519643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56676749 is divided by 1435.\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 7*d**2 - 3*d + 4. Let s be k(6). Let z be (-6)\/(-20) - 11\/s. Which is bigger: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17401 + -191?\nAnswer: -17592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u**2. Let t(o) = -12695*o**2. Give t(c(g)).\nAnswer: -203120*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -20186 and -0.1?\nAnswer: 20185.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a day in minutes?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 2*j - 2*j)*(4*j**4 + j**4 - 4*j**4) + (11*j - 42*j - 56*j)*(-5 - 5 + 7 - j**4).\nAnswer: 86*j**5 + 261*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (6 - (-22 - -9 - -38))) + -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -55*h**2 - 6*h - 7. Calculate t(3).\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*(-1 - 2\/(-10)) + -1. Sort 4, n, 3.\nAnswer: n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 222, 876, 1962, 3480, 5430?\n\"Answer: 216*s**2 + 6*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -35*v**5 - 1180*v**4 - 8515*v**3 + 23950*v**2 - 17460*v + 3240 = 0. What is v?\nAnswer: -18, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23160*j**3 - 4186*j + 336509791?\nAnswer: 69480*j**2 - 4186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5514673mg in grams?\nAnswer: 0.0005514673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 158939, 4.\nAnswer: -3, 0, 4, 158939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 11*v = 12, 3*g = -5*v - 2098. Is -707 at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**2 + 10*b - 2. Let y be d(0). Let v = y - -23. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 2. Let r be x(-5). Let g(n) be the third derivative of n**6\/120 + n**5\/30 - n**4\/8 + n**3\/3 - 2*n**2. What is the units digit of g(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-9))\/(5\/15). Let d = -0.2 + 0.7. Which is the smallest value? (a) d (b) -5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70139 is divided by 662?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -718 + 6*y**3 + 1487 - 5*y**3 + y**2.\nAnswer: y**3 + y**2 + 769","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 2*x**2 - x - 4. Let t(h) = -2*h**3 - 4*h**2 + h + 7. Let a(b) = -5*q(b) - 3*t(b). Let v be a(-2). Let k(c) = -c - 7. Give k(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 21.91.\nAnswer: -21.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610405.\nAnswer: 5, 122081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9978 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1482 in -1\/5, -353, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3362*f - 2304 = -3394*f. Calculate the greatest common divisor of 5247 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 5137128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**7\/420 + s**4\/6 - 5*s**3\/6 - 36*s**2. Let j(q) be the second derivative of y(q). Let x(k) = -12*k**2. Give x(j(w)).\nAnswer: -432*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 57278.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1461493 + 1461493 - 87*j)*(-4 - 4 + 6 + j) to the form u*j**2 + p*j + b and give p.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87 - 79 - (1 - 14) - 4.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1968 and 528?\nAnswer: 21648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(84)*-2)\/((sqrt(12) - sqrt(24)\/sqrt(2) - sqrt(12))*-5*-6).\nAnswer: sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 + -0.31. Let z = x - 0.2. Let f = -0.01 - z. Sort 0.3, f, -0.5 in descending order.\nAnswer: 0.3, f, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84*y - 23*y - 16*y)*(0 + 1 - 3)*(4 + 1 - 2).\nAnswer: -270*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/339)\/(-1*(-2)\/1). Suppose 4*z + 7 = g, 10 = 2*z + 4*g - 0. Let j be (-1*2 - z)\/(-1). Which is greater: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 585?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**4\/4 - 13*h**3\/3 + 11*h**2\/2 - 15*h + 2. What are the prime factors of b(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4023b - -19?\nAnswer: -40222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 0*g**4 - 13\/21*g**7 - 5*g + 0 - 14\/3*g**3 + 0*g**2 + 0*g**5 + 0*g**6. What is the second derivative of f(l) wrt l?\nAnswer: -520*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p**3 + 2*p**2 + 7*p + 6. Let z(b) = -3*b**3 + b**2 + 6*b + 5. Let l(h) = -6*j(h) + 7*z(h). Let c(a) = -a**3 + a**2. Calculate 2*c(f) + l(f).\nAnswer: f**3 - 3*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 95\/21 + (-134)\/5628?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + t = -79, -2*j - 4*t = 54 + 10. List the prime factors of 218\/12 + 7\/j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.55 and -1.5.\nAnswer: -0.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -6.5. Let l = j - 1.5. Let b = 13 + -8. What is the nearest to l in b, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3714*m**2 - 40*m - 10. Let q(j) = -2755787*j**2 - 29672*j - 7418. Let w(s) = 3709*d(s) - 5*q(s). Let c(y) = -3*y. Determine c(w(o)).\nAnswer: -11127*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 1 = p. Suppose -5*y + 26 + 64 = 0. Calculate the remainder when p is divided by y\/(-4)*4\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2443 - 2369. Solve -o - 76 + a = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 13 + 18 + (-6 + 4 + 0)*(-2 + 0 - 1))*(-2*t**5 + 4*t**5 - 3*t**5).\nAnswer: -25*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/3 < -1\/176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -961*q**5*x - q**3*x - 24*q**3 - 17286*q*x + 4*q wrt q?\nAnswer: -19220*q**3*x - 6*q*x - 144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = 463*w - 234*w - 205*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-351)\/(-18) - 1\/(-2). Let f be (27 - 0)*o\/15. What is the highest common divisor of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22.5 and 0.004.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -128*(-8)\/18432 - (-4)\/(-18)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 3*t - t)*(-t - 1 + 1) + (-t - 3*t + 5*t)*(59 + 22*t - 59)*(5 - 2 - 2).\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2667301703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2601 = -16*u + 2359. Let j = 1076 - u. What are the prime factors of j?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*(sqrt(7) + 1) - (sqrt(63) + ((sqrt(567) - sqrt(567)*1 - sqrt(567)) + sqrt(567) - sqrt(567)))\/sqrt(9).\nAnswer: 7 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -38332, -153610, -345748, -614752, -960628, -1383382, -1883020, -2459548?\n\"Answer: -z**3 - 38424*z**2 + z + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1857*-6*(-8)\/18. Let k = a - 1034970\/209. Let v = 428\/1045 + k. What is the smallest value in 3, v, 3\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168717, -168952, -169195, -169452, -169729?\nAnswer: -170032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**4 - 76751*l**2 - 21*l + 8251565 with respect to l.\nAnswer: 4*l**3 - 153502*l - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 784.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -107, -109, -111, -113, -115, -117?\n\"Answer: -2*d - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + f + (3*f - 4*f + 4*f)*(2 - 4 + 3) - 128*f + 245*f + 255*f to h + m*f and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3 = -2. Let t = x - -3. List the prime factors of ((-1)\/(-3))\/(t + 118\/(-60)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15780 is divided by 5260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 408 and 188994?\nAnswer: 12851592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccjjcjqccqqjqqq. Give prob of picking 2 c.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x - 7*x + 3*x)*(7 + 3 + 9)*(-384*x + 646*x + 1581*x) to the form a*x**2 + i + p*x and give a.\nAnswer: -70034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7902 and 120?\nAnswer: 158040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 - 31 - (-4 + (0 - 2) + -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = h + 4*p - 9, 5 = 5*p. Suppose 15 = h*n - 0*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 86*d**2 + 281*d**2 + 209*d**2 - 186*d**2 + 523*d**2 to the form x*d + z*d**2 + i and give z.\nAnswer: 913","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in centimeters?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 8*k + 2*k + 3*k - 70 + 66 - k. Let z(t) = -11*t**2. What is z(i(p))?\nAnswer: -1584*p**2 + 1056*p - 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**2 + 360*w + 8100 = 0.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 12*t**2 - 18*t - 45. Calculate n(-13).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 786 is divided by 102?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -41117261 at least as big as -41117261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*x - c + 10, 10 = 5*c. Suppose t - 1 = -k, 2*t + x*k - 2*k + 4 = 0. Solve 0 = -t*w - 1 + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -321.1 and -0.042?\nAnswer: 13.4862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1815)*1)\/(-1*sqrt(5)*1).\nAnswer: -11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*a + 121*a - 266*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 3*c + 14 = 0, 2*h - 6 = 3*h - 2*c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13860 by 44.\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cedcecelcbcccec. What is prob of picking 1 b, 1 d, and 1 c?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13, -41, -85, -145, -221, -313?\n\"Answer: -8*k**2 - 4*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 104699923079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 5) to base 13.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -16*u**3\/3 + 6*u - 24. What is the first derivative of b(n) wrt n?\nAnswer: -32*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1110 is divided by 285.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 44700266 a multiple of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3971.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6 - 19*w**2 - 16*w**2 + 34*w**2 - 10*w. Let i be y(-9). Solve -2*z - 2*m + 3 = -3*m, 3*m - 18 = -i*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -170069814 by -2.\nAnswer: 85034907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 186*o - 3005. Give f(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - (sqrt(252)*1 + sqrt(252))*-3) + -2*sqrt(252)*-1)\/((sqrt(90) - 2*sqrt(90)*5)\/(sqrt(360)*2 - sqrt(360))).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1608\/7638*1767\/12?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1289980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*s + 53*s = -18 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*a = 165*a - 852. Determine l so that 14*l**2 + 21\/2*l**5 + 0 - 53\/2*l**a - 2*l + 4*l**4 = 0.\nAnswer: -2, 0, 2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 3726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j + 3. Let x = -10 - -14. Let o be (12\/(-18))\/(24\/(-108)). Let h(l) = -2*l - 2. Give o*k(p) + x*h(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**2*j - 2*b**2 + 40*b*g*j**4 - 5*b*g*j**2 - 554*g with respect to j.\nAnswer: b**2 + 160*b*g*j**3 - 10*b*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*o + 2*f - 12 = 15*o, -2*o - 3*f = -2*f - 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/4 (b) 0.3 (c) 16 (d) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6016921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (-8 - (-6 + -8 + 9) - 1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -10, 0.05198, 2, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 4480 = -4*b. Let n be 1148\/b + 1\/(-2). What is g in -n*g**2 + 4*g - 8\/5*g**3 + 6\/5 = 0?\nAnswer: -3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 11:05 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, 18, 119, 298, 579, 986, 1543, 2274?\nAnswer: 3203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 3802113.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g**3 + 15*g**3 - 24*g**2 + 24*g**2 + 5*g**3.\nAnswer: 32*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 3a029?\nAnswer: 3a027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*k + 5 = 19*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2396754746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1263426 from -0.24282.\nAnswer: -0.1164774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -22 (b) 4 (c) -1\/32 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-14)*(-560)\/60.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2337\/328*(-1 + 374\/(-6)). Suppose 0*m - 1386 = 3*j + m, 2*m - 6 = 0. Let v = d - j. Calculate the common denominator of 21\/4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 14325216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.17 in -5, -0.4, -10, 0.4, -95?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3522366 weeks to hours.\nAnswer: 59.1757488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v**2 - 18*v - 6. Calculate n(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37142 less than -854.23528?\nAnswer: -37996.23528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6db (base 15) in base 16?\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317760485?\nAnswer: 5, 7, 389, 23339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 6*f**2 + 2*f + 5. Let l = 32 + -26. Let z be o(l). Let n = 25 - z. Calculate the least common multiple of n and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*f + 4426. Let a = -1360 - f. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m**3 + 3*m**2 - 66*m - 381. Calculate u(-7).\nAnswer: -1144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.08 + -0.08. Let v = -155 + -25. Let t be 171\/v + (13\/(-4) - -3). Which is the second smallest value? (a) 3 (b) n (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 254\/11 + -23. Let w = 2.213 - 27.213. Which is the third biggest value? (a) w (b) m (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24326 - -43603. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 19 + 61. Calculate the remainder when 66 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -80*994\/(-13632)*-18.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6096789 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 293? (a) -6\/7 (b) 1 (c) -4\/3 (d) 38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23914085 + -16014085. Round a to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6997622533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -9*r. Let j(c) = 29*c - 4. What is q(j(p))?\nAnswer: -261*p + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*w**4 + 10*w**3 + 39*w wrt w.\nAnswer: -60*w**2 + 60*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s + 5*s + 0*s to o + p*s and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3*u**4\/7 + u**3\/7 - 3*u**2\/7 - u\/7 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 13\/98 (b) 2\/5 (c) 1\/5 (d) -1 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -266 + 2924\/11. Let r = 11 - 12. Which is the third smallest value? (a) i (b) -1\/4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 11*c + 10*c - 1 - 4*c**2. Let f be l(-1). Let q be ((-22)\/f)\/(7\/35). Calculate the greatest common divisor of q and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-3\/11)*s*s\/s**4 assuming s is positive.\nAnswer: s**(-8\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a + 32862*a**3 + 9*a - 16*a - 32864*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.03 (b) 2 (c) 2\/3 (d) 4 (e) -0.0512 (f) -3\/379\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 27 = -7*w. Let t = w + 61. Does 35 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9331 - -9387. Solve 17*f - 195 = i*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -591 - -593. Let n(f) = -1 - 368*f**l + 13*f - 1 - 6 + 367*f**2 + 1. Give n(11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7727 is divided by 55?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19.06 + 19. Let p = -0.05941 - i. What is p rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 14*o**2 - 15*o + 2. Let d be n(15). Suppose -d*w = w. Is w + 1 + (10 - -180) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 185*j - 183*j - 35, 0 = 21*a - j + 147 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 325*i**2 + 7339*i - 25259. Calculate o(346).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-2 - -3)) + 58 + -56.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -2*a - 5*x + 14, 0 = -3*a + 4*x - 13 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p. Let h = 1 - -3. Let x(o) = 5*o - 2*o + h*o - 3*o. Calculate x(u(t)).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -5010067 > -5010069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(44)*-6*6.\nAnswer: 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*4\/3)\/(33\/231)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 420 = -150. Let g = v + -90. Suppose -4*o + n + 1676 = g, -7*o + 3*o = -5*n - 1676. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 4\/(20\/55). Suppose 11*z = 16*z - 3*o - 50, -3*z + 5*o + 46 = 0. What is the greatest common factor of z and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*f - 38*f + 627 + 87*f.\nAnswer: 2*f + 627","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 61732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4 + 0 = 0. Let d(v) = -48*v + 7. Let i be d(-1). Let p = 63 - i. Calculate the least common multiple of k and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -17*a**5\/20 - a**4\/12 + a**2\/2 - 5*a. What are the prime factors of h(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 35 = 477. Suppose 81 = -19*w + q. Which is bigger: w or 18?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/13 (b) -5 (c) 0.2 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (3 - (-16 - -8 - -3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/((-3 + (-76)\/(-24))*12). Solve 4*g = b, -o + 0*g = 2*g - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/756 and 65\/865788.\nAnswer: 7792092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 - 786*q**3 - 28771*q**2 + 29556*q.\nAnswer: q*(q - 821)*(q - 1)*(q + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -15*c + 36. Determine a(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(18\/11)*a)**(6\/13)\/((a*a**(2\/39))\/((a**(-3\/2)\/a*a*a)\/a)))**(11\/5) assuming a is positive.\nAnswer: a**(-229\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*y = 46*y + 33930. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21755.41*-0.3.\nAnswer: 6526.623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 - -75. Let k = -25 - -45. Suppose 5*j = j. Solve -k + j = -u*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o + 0 + 0 + (-1 + 4 - 6)*(-3*o - 2 + 2) + (-3 + 5 - 4)*(4*o + 3*o - 6*o) in the form p*o + k and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -128 + 136. Differentiate s - 2 - 31*l**3 - 17*l**3 + 98*l**3 with respect to l.\nAnswer: 150*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 8*a**3 - 4*a**2. Let b(l) = 17*l**3 - 8*l**2. Let c = -51 - -38. Let d(u) = c*q(u) + 6*b(u). What is j in d(j) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 2124?\nAnswer: 14868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3801?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/9)*m)**(9\/7)*m**(2\/19)*m\/(m\/((m\/(m*m*m**(-4\/7)*m*m))\/m)*m) assuming m is positive.\nAnswer: m**(-366\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**5 - 36*o**5 + 2*o**5 + 2*o**5 + o**2 - o**2 + (2*o**2 - 1 + 1)*(-o**3 + 4*o**3 - o**3) - 3*o**5 + o**5 - 2*o**5.\nAnswer: -35*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t**5\/30 + 5*t**2. Let b(m) = -33*m**2. What is b(c(s))?\nAnswer: -132*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -120.7 * 5\nAnswer: -603.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 8. Let i(a) = -25*a**3 + 4*a**2 - 11*a. Let s(h) = -5*h**3 + h**2 - 2*h. Let u(y) = w*i(y) + 11*s(y). What is the third derivative of u(g) wrt g?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -444057, -3552354, -11989131, -28418628, -55505085, -95912742?\n\"Answer: -444040*t**3 - 17*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -7*y**2 + 16*y + 25. Give l(-2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18540\/75 + 8\/10. Let p = 243 - l. Which is smaller: -9 or p?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 21.2. Which is the nearest to -2\/7? (a) -0.3 (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 10*b. List the prime factors of (-1 + b)*2\/2*-162.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 + -53 - (1 - (0 - 21)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1458 plus 0?\nAnswer: -1458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9318865 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence owow when four letters picked without replacement from kvwowkwvwkvw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -14.93. Let y = 0.47 + c. Let a be 36\/50*(-710)\/(-426) - 104\/70. Put -3, -2\/3, a, y in ascending order.\nAnswer: -3, -2\/3, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(81)\/(sqrt(108) - sqrt(3)) + -3.\nAnswer: -3 + 3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -22*d + 2600. Determine m(118).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fippclffllnfcllf. Give prob of picking 3 f.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1751, 1748, 1743, 1736, 1727?\nAnswer: 1716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s = -2. Let q(z) = 3*z - 2. Let c(m) = 6*m - 5. Give s*c(r) - 5*q(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6*d*d\/d**(-1\/11)*(d*d\/(d\/(d*d\/(d**4\/d*d)*d*d))*d)\/d**(-2))**28 assuming d is positive.\nAnswer: d**(3724\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -153 - -219. Suppose m = 4*u - 26. Solve -2*y = -2*x + 14, 0*x + 2*x - 5*y - u = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -43*n**3 - 3*n**2 + 3. Let t be k(-3). Suppose -2863 = -2*j + t. Let s be (-3)\/((-9)\/j)*15300. What is s rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -1 - (0 - (-2 + 7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 30534 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*i**2 - 5*i**2 + 33*i**2 - 186 + 184 to the form f*i + l + m*i**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000123782 to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -192, -279, -348, -393, -408?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 3 - (-4 - 8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 51*w + 90. Let s be c(6). What is the highest common factor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97 + -93. Solve 5*f - 10 = 3*i, -3*f + 2 + w = 3*i for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -46, -152, -364, -718, -1250, -1996, -2992?\nAnswer: -4274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**2 + 5*z + 5. Let g(p) = 22*p**2 - 11*p - 1. Let m(u) = -10*u**2 + 6*u + 2. Let r(w) = -2*g(w) - 5*m(w). Calculate -8*f(s) - 5*r(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -17*b - 22. Let d(f) be the second derivative of -f**3 - 4*f**2 - 83*f. Let a(k) = 8*d(k) - 3*h(k). Calculate a(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**4 + 0*o**3 - 3*o**3 - 36*o + 5*o**3 - 1 - o**3 to the form x*o**3 + l*o**2 + n + b*o + w*o**4 and give b.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 9 = -p + 5, -5*p = -4*m + 16. Solve p = -8*n - n - 27 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 118.12.\nAnswer: -59.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*k + 22*k = -14*k + 360 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/3155 or -1348?\nAnswer: -3\/3155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 58240550, 58240579, 58240620, 58240679, 58240762, 58240875, 58241024, 58241215?\n\"Answer: z**3 + 22*z + 58240527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.526769 rounded to 1 dp?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 - 3*g - 4. Is m(7) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014877 minus 137?\nAnswer: -136.985123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 6:01 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 851 and 15479?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 11*z - 22. What is m(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 h, and 1 i when three letters picked without replacement from {h: 2, i: 9, d: 2, s: 3, r: 1}.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 33, 190, 611, 1428, 2773, 4778?\n\"Answer: 22*q**3 + 3*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1588329 + 5?\nAnswer: -1588324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -72 + 102 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 1\/2677?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/a**(-1\/4)*a*a**1)\/((a**(-10)\/a)\/(a*a\/a**16)) assuming a is positive.\nAnswer: a**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -210775774907?\nAnswer: -210775774911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, -278 in decreasing order.\nAnswer: 3, -9, -278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 10. Let k(g) = 3*g**2 + 210*g + 1971. What is the remainder when k(-59) is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 200*w**3 + w**2 - 2*w wrt w.\nAnswer: 1200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 113, 227, 341, 455, 569, 683?\n\"Answer: 114*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -6*b**5\/5 + b**2 + 1. Find the second derivative of t(m) wrt m.\nAnswer: -72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 v, and 2 e when four letters picked without replacement from {v: 3, w: 4, e: 1, o: 5, s: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 303 - 557. Let b = h + 196.1. Round b to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-7) - (-2)\/7. Suppose 5*r - 120 + 20 = 0. Calculate the remainder when 55 - w*(0 - -3) is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.7 and -0.01.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00254133 rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 578*i + 117*i - 1056*i - 2 + 2*i + 2 - 2 + i + 2 + (-4 + 4 + i)*(-1 - 3 + 2) - i + 1 - 1 + 2*i - 2*i - i to the form h*i + m and give h.\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 + -60. Let n(t) = -t**2 - 18*t - 30. Let u be n(-16). Let m be 7*(-6)\/(-336)*u\/(-1). Which is the closest to m? (a) 0 (b) 1\/4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 149169.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1816, 4, 2 in decreasing order.\nAnswer: 1816, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 32584.\nAnswer: -6516.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1318?\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/1525992 and -9\/273896?\nAnswer: 10681944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 7*w - w. Let i(n) = 9*n. Let b = -31 - -26. Give b*t(x) + 3*i(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -316*f**2 + 983*f wrt f?\nAnswer: -632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -437348, -5.\nAnswer: -437348, -5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6*k**2 + 7*k + 4. Suppose -4*z = -t - 8, 3*z = -16*t + 13*t + 21. Let q(x) = 3*x**2 - 3*x - 2. Determine z*p(l) + 7*q(l).\nAnswer: 3*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1802477111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7269 a factor of 2152198251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18351 - 18346. Solve 3*k + 17 = 7*k - d*w, 2*k = 5*w + 21 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23137 - 16031. What are the prime factors of f?\nAnswer: 2, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llrvbvvvn. Give prob of picking 1 v, 2 l, and 1 r.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/21*((0 - -11) + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 4:02 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2) + (-6)\/(-12). Let x(b) = k*b**2 - 7*b**2 - 3*b**2. Let f(d) = d**2. Give f(x(y)).\nAnswer: 100*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -j + 21, 2*j - 9 = -3*j - 4*m. What is the common denominator of 10\/3 and (24 - -2)\/(2 + j)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.02 (b) -0.5 (c) -173\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.99 - 0.01. Let v be -2 - (-3 - 0) - 1. Which is the third smallest value? (a) v (b) l (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-1507.6559\nAnswer: 7538.2795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10011 (base 2) to base 16\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 + 178*u - 4194. Let r be i(22). Solve -694 + r = 2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4672979.\nAnswer: 23, 203173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001060433 to seven decimal places.\nAnswer: 0.0000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 - 31*p + 18 + 66*p - 24*p - 23*p.\nAnswer: -12*p + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 96710944 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/18 + 4\/18. Sort 5, 6, a in ascending order.\nAnswer: a, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 46072558 > 138217676\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -30. Suppose i*k = 5*k - 15. Let m(o) = -o**3 + 4*o**2 - o - 4. What is the smallest common multiple of m(k) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-176)\/6)\/(-4))\/((-4)\/(-6)). Suppose 4*b = m*b - 1897. Does 29 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 7:52 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fufuxfffuuuffxffuuu. Give prob of sequence uuf.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 6:34 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/12904080 and -33\/2716.\nAnswer: 1251695760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x - 6*x + 10. Let u(r) = -r**3 - 4*r**2 + 5*r + 2. Let m be u(x). Which is smaller: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-130 - -124) + 45 - 142?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 113 + -9895?\nAnswer: -9782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1011039ml in litres?\nAnswer: 0.0001011039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 65\/4, 26, 2\/9, 0.16, 1, -3, 18?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-13 - -4 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and -36121?\nAnswer: -2167.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (90\/216)\/(6\/(78\/65))\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 28 = -8*v + 14 - 24 + 29 - 13, -19 = v - 3*h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s**3 - s**2 + s. Let g(w) = -9*w**3 - 2*w**2 + 2*w. Let u(h) = 6*g(h) - 11*j(h). Let k(x) = x**2 - 7 + 7 - x**3. Determine k(r) + 2*u(r).\nAnswer: r**3 - r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3 + sqrt(684))**2.\nAnswer: -36*sqrt(19) + 693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6 (b) -3\/5 (c) -2\/43 (d) 3 (e) 15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003237853544 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0*d = 0. Let r(j) = -j**3 + j**2 - j + 12. Let q be r(d). Find the third derivative of -5*n**2 - n**5 - n**5 + q*n - 12*n wrt n.\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*r = 67*r - 1430. What is the highest common factor of 26 and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 14*v - 11*v, 4*l = 3*v + 183681. List the prime factors of l.\nAnswer: 3, 15307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 12 - 28 = 0. Let s = -20 + z. Solve s*n - n = 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*9\/72*-4*(2 + -4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -u - 3*t + 8, 0*u + 14*u + 129*t = 135*t + 200 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 227663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(2\/7))\/(r\/(r*r\/r**7*r))*((r**(-1\/4)*r)\/r)**(-1\/5) assuming r is positive.\nAnswer: r**(-593\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1.3, 16, 1 in descending order.\nAnswer: 16, 5, 1, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16384 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 1:23 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1632 and 111378.\nAnswer: 181768896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t - 2*t - 3*t**3 + 2*t**4 - 5 + 4 to the form h*t**2 + b*t**4 + n*t + d + f*t**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 224*y - 4330. Give u(21).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 91403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 18*i**2 + 45*i - 102. Let u(k) = 581*k + 20. Let y be u(0). Calculate t(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -126*n**2 + 2*n + 343*n**2 + 101 - 103 - 3*n + 3*n in the form m*n + z*n**2 + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14866157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1658*l**2 + 555*l**2 + 404889 - 404889 as p*l**2 + n*l + j and give p.\nAnswer: -1103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44.214 - -1.134. Let r = 60.954 + m. Let k = r + -18. What is k rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 824, -2493, -11498, -29035, -57948, -101081, -161278?\nAnswer: -241383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6501592160373 take away -0.15?\nAnswer: -6501592160372.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/30 of a minute?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/2708496 and -13\/75236.\nAnswer: 2708496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 5:49 AM?\nAnswer: 95","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -402*z**6 - 10*z**5 + 3*z**4 - 18*z**2 - z + 64.\nAnswer: -48240*z**3 - 600*z**2 + 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 7216*j + 1219462. Determine l(-169).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/20 of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 28979 divided by -1\nAnswer: -28979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*t + 21. Let y be 4\/(-10)*(-4)\/(-2). Let q = -0.05749 + 0.05749. Put t, y, q in descending order.\nAnswer: q, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1256, -2512, -3768, -5024, -6280?\nAnswer: -7536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/9*(-1)\/(-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.2 (b) -3 (c) 1 (d) 191 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -146309, -146304, -146295, -146282, -146265, -146244?\n\"Answer: 2*t**2 - t - 146310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - s**3 - 13*s**4 - 4*s**2 + 1 + 12*s**4 to the form n*s + m + y*s**4 + x*s**2 + q*s**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - w + 152. Let j be ((-54)\/8)\/(12\/12)*-68. Suppose -j = -727*v + 718*v. What is the remainder when i(0) is divided by v?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 5:38 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 8*d**2 - 28*d + 172. Let o be u(9). Suppose 4*t - 19 = 17. Solve -3*z - 4 - o = -5*h, 0 = -4*h + 5*z - t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73086592 = -18*o - 9117070 - 7843722. Round o to the nearest 100000.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 817 (b) 4 (c) -9\/10507 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424094 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -113*u**2 + 138*u**2 + 219*u**2 + 132*u**2 to v*u + k + p*u**2 and give p.\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**0)\/(t**(3\/5)\/t*t)*t**(2\/11)\/t**(-1\/2) assuming t is positive.\nAnswer: t**(119\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 8. Suppose -4*p + k + 7 = -2*p, -p + 4*k - 14 = 0. Let v = p - i. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 135\/16 + -35\/16. Let h = 7 - w. Factor 1\/2 + 1\/4*s**2 + h*s.\nAnswer: (s + 1)*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**3 - 2*q**2 + 16*q + 24 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 9:38 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 677 and 2953751.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 6*y**3 + 208*y**2 + 20*y + 3187. Give t(-35).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/20)\/((-900)\/96)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 867959*x**3 - 66934*x**3 + 264402*x**3.\nAnswer: 1065427*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.65068 to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 25 = -5*k + 6*k, 12*c + 10 = 58 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2463 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 l when four letters picked without replacement from hlkvlvvlvlvvvhvhlv?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 + 73 + 5 - 3*a**2 - 8*a**2.\nAnswer: -11*a**2 + 160","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2970\/(-25))\/(-11)*(-215)\/43.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 3 (c) 2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.01 (b) -1 (c) -0.05 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*k + 14. Suppose -5*a + 4*r - 4 = 0, 2*r = -3*a - 3*r + k. Solve 4*y - 8 + 24 = a for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.148 - -0.052. Let p = -0.2 + l. Which is smaller: p or 13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o + 0*o + o + 2*o - 5*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 52*p**2 + 350*p - 38. Let i(q) = 4*q**2 + 27*q - 3. Determine 76*i(w) - 6*j(w).\nAnswer: -8*w**2 - 48*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 866*o - 26239 - 3171 - 900 for o.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 811 a factor of 488222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2*l - 68, 2*f - 5*l + 22 = 154. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 339 - 79 = -5*b, 4*b = 4*v + 344. Calculate the remainder when b is divided by 4\/14*(-2618)\/(-68).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(800) + 2*sqrt(800)*3 + sqrt(800) + sqrt(800))\/(sqrt(12)\/(sqrt(3)*-2*1)))**2.\nAnswer: 64800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 11*y**2 + 3*y + 9. Suppose -5*c - 4*o - 23 = 0, -c = -4*c - 2*o - 15. Let g(u) = 5*u**2 + u + 4. Determine c*g(p) + 3*l(p).\nAnswer: -2*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/6*(918\/(-45))\/(-17)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-86 - (-2166115)\/25191)\/(10\/(-6))\nAnswer: 1\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.1. Let m = d - -0.1. Let o = -9 - -8.7. Which is the third smallest value? (a) m (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1927636, -1927614, -1927592?\n\"Answer: 22*g - 1927658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -220*z + 806. Does 47 divide v(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, k: 1, b: 1, r: 4, f: 2, g: 1}. What is prob of sequence pgr?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 51*c**2 - 130*c + 5. List the prime factors of w(-7).\nAnswer: 2, 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 20\/9)*(221\/(-34) + -4). Which is the closest to 1\/2? (a) x (b) 0.2 (c) -4 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24940697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s - 5. Let f be x(4). Let b be 6\/9 + (-12)\/f. Suppose -3*c + 50 = b*c. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(33)\/sqrt(44) + sqrt(3)).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 604778.5 minutes in seconds?\nAnswer: 36286710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x + 4. Let s be h(0). Calculate the remainder when 6 is divided by (s\/6)\/((-20)\/(-90)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (319 - 41*r - 319)*(11*r + 8*r - 3*r - r + r - 2*r + (2*r + 4 - 4)*(1 - 3 + 0)) in the form h + a*r + z*r**2 and give z.\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 16*g - 653. Let r be (-2)\/(3\/9*-2). Let p be r\/(-6) + (g\/2 - 0). Solve -p = 2*z + 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0*k)**(-7)*((k*k*(k*k\/((k*k**(-4))\/k))\/k*k)\/k*k)\/(k*k*((k\/((k*k**(-2\/9))\/k)*k)\/k)\/k) assuming k is positive.\nAnswer: k**(-11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -d + 2*d, -a + 5*d - 15 = 0. Let t be (a\/(1 + 1))\/(-2). Solve n + n = t for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 + -3a5?\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15039708?\nAnswer: 2, 3, 101, 12409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5638 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: -45 (base 9) to base 13\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of i**3\/6 + 4*i - 2. Let v(m) be the first derivative of z(m). Let d(c) = -3*c**2 - 2*c**2 + 3*c**2. Give v(d(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 104*i + 63*i + 2 - 1.\nAnswer: -41*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -16 (b) -3 (c) -1 (d) 3 (e) 1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m**2 + 1. Suppose 4*f = 8 - 0, 0 = -3*g + 5*f - 13. Let x be o(g). Let d be -1 + 6\/x - -1. Which is the nearest to -1? (a) 5 (b) 0.3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17006 is divided by 135?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*x + 404, -n + 0*x - 5*x + 202 = 0. What are the prime factors of n?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**12))\/h)\/(h*(h*h**0)\/h*h)*((h*h\/(h*h**3))\/h)**(8\/13) assuming h is positive.\nAnswer: h**(93\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*1*(-19)\/(285\/150). Solve n - r + 9 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4 = 8. Suppose s + 6 = x*s, g - 3*s = 0. Let p(d) = 2*d - 2. Calculate p(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(2880))\/(-5*sqrt(60)\/sqrt(6)))**2.\nAnswer: 2592\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w**3 + 2*w**2 + 5*w - 4. Let h(c) = 8*c**3 - 5*c**2 - 11*c + 9. Let r(m) = -4*h(m) - 9*l(m). Let x = -2 + 3. What is the units digit of r(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7*t + 6. Let o(i) = -12*i + 11. What is -7*n(j) + 4*o(j)?\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (86*s + 97*s - 90*s)*(5 - 3 + 3) + (-3 + 1 - 3)*(1 + 2*s - 1) to the form p*s + t and give p.\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5711271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 5. Let r be ((-12)\/44)\/(6\/o). Let s = -1.152 - -0.152. What is the nearest to 0.2 in 0.2, s, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 25*t - 20*t, -4*c - 2*t = 18 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -103625 and -0.057326.\nAnswer: -103625.057326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 3*u + 1. Let d = 8 + -13. Let j = 9 + d. What are the prime factors of v(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5231 - -5235. Which is the nearest to -1? (a) 362 (b) g (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2)*m*m**(-2\/7)\/m)\/(m*m**0)**(-9\/7))**(-7\/5) assuming m is positive.\nAnswer: m**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 1, 0 = 4*b + u + u - 70. Let o = b - 16. Sort o, -0.2, -6.\nAnswer: -6, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a millimeter in micrometers?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3352 = 115*s - 575 + 17 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1268?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((-13)\/65)\/((-1)\/29).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 12 - (-4 - (1 + 0 + -14))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-207)\/92*8\/12)\/((-9)\/78)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 132005\/8 or 16502?\nAnswer: 16502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/70 and -1\/2050?\nAnswer: 14350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -21*x - 2. Let u(o) = 64*o + 7. What is 21*m(h) + 6*u(h)?\nAnswer: -57*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*n**5*q*r - 243*n**3*q**2*r - 166*n**2*q**2 + q**2*r - 9*q**2 - 3 wrt n?\nAnswer: -1320*n**2*q*r - 1458*q**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 9 + -3 + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**3 - 1519*x**2 - 13519*x + 355569. Determine v(768).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 106900418.72 minus -0.28?\nAnswer: 106900419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1ee4edd - 3?\nAnswer: -1ee4ee1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 6*z + 20 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 + -73.9953. Round c to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 5*u + 1. Suppose 100*v - 97*v - 5*s + 9 = 0, -v + 2*s = 3. Let q(m) = 2*m**2 - 15*m - 2. Determine v*q(k) - 8*c(k).\nAnswer: 2*k**2 + 5*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 65245504 divided by 472?\nAnswer: 138232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 + 5*d - 4*d + d**2 + 1. Let i be k(-1). Suppose 0 = -2*u + 6*u. Which is the second smallest value? (a) u (b) i (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-96)\/(-36))\/(2\/3). Find the second derivative of -z*n**3 + 2*n**4 + 2*n - 5*n**4 + 4*n**3 wrt n.\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {x: 11, g: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uughuislguuggggh. What is prob of sequence uil?\nAnswer: 1\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - -1*(2 + -49). Let z = 69 + v. Let i = z + -9. Calculate the common denominator of i and -47\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 9:02 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -83*m**7\/7 + 2*m**6\/15 + m**5\/10 - 7*m**4\/3 + m**3\/3 - 31*m**2\/2 - 10777*m. Find the third derivative of a(i) wrt i.\nAnswer: -29880*i**2 + 96*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -9. Let j(n) be the third derivative of -n**4\/24 - 7*n**3\/2 - 11*n**2. Let c be j(-16). What is the third biggest value in r, -0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 9*p = -16. Let a = p - 19. Let c be 10\/a*(-6)\/(-4). Is c at most -4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(30\/(-12)) - (-42)\/30.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -334, 3, 12 in ascending order.\nAnswer: -334, -3, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 4*p - 9, -5*f + 8*f - 2*p = -23 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(sqrt(11) + sqrt(2695)\/sqrt(5)))**2.\nAnswer: 17\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ushxssuiis. What is prob of picking 2 u, 1 x, and 1 h?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*r + 6602, -3*r = v - 22 - 1625. Let g = v + -39749\/24. What is the common denominator of 23\/186 and g?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4 = 4*n + 5*l, -3*l + 1 = 4*n. Let r be 0\/(-1 + 2) - 0. Suppose r = -n*v - 0*v. Solve v = 4*u + u - 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -2\/11*c**4 + 0*c + 2\/55*c**5 - 2\/11*c**2 + 10\/33*c**3 + 4. Find p, given that u(p) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1120*-36.\nAnswer: 40320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12336 - -12334.05. Round c to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -13.6 (b) 0.1 (c) -6\/71 (d) 48\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 2*n + n)*(-2 + 2 - 1 + (-1 + 2 + 1)*(2 + 1 - 1) + 3 - 2 - 3)*(2 - 1 - 10).\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41629 is divided by 5171.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 9*q**2 - 5*q + 30. Give y(-10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32 in 3, 0.1, 0.06?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(3*u**2 - 9*u**2 + 4*u**2) - 23*u**2 + 623 - 623 + (u - u + u)*(u - 6*u + 4*u).\nAnswer: -22*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + -3)*(2 - 10\/4). Suppose s + 2*w - 79 = 2*s, -2*s = 4*w + 118. Let j = s - -205\/3. Which is smaller: a or j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3307 is divided by 650.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssnsnnsssns. Give prob of sequence nsss.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1. Let s = 568 + -2838\/5. Which is the fourth biggest value? (a) p (b) 3 (c) s (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 158926 and 850?\nAnswer: 67543550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfsssfssfssssss. Give prob of picking 2 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 8*d**2 - 4*d - 13. Let l be k(9). Suppose 0 = -34*z + l*z - 4. Let t = 4 + z. Solve 2*r + t*s = -4 - 2, -4*r + 4*s = 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 231 and 1396087.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1719 and 3.\nAnswer: 1719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 174 - 174.04. Which is the fifth smallest value? (a) 0.1 (b) f (c) -3\/5 (d) -1 (e) 5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 5*l - 12, 4*y + 5*l + 15 = 0. Solve 0 = -y*v + 4*v - 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 >= 1\/175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -787, -1383, -2563, -4333, -6699, -9667?\n\"Answer: -b**3 - 286*b**2 + 269*b - 769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*s = -189, -5*p + 2*p - 3*s = -141. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -4*l**2 - 4*l - 11. Let p(g) = -57 + g + 4*g - 6*g + 27 + 29. Give 5*p(v) - y(v).\nAnswer: 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -i**6\/120 + i**5\/12 - 7*i**4\/24 + 7*i**3\/3 - 9*i**2 + 11*i. What is w(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -341.131 + 341. Are a and 0.01 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31790\/476 + ((-234)\/84 - -3).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 5 - (-6)\/(-7 + 13). Suppose -u*g + 90 = -0*g. Are g and 14 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -4. What is the third derivative of 1489*f**2 - 1476*f**2 - i - 36*f**3 - 17*f**3 wrt f?\nAnswer: -318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 16*t. Let q be l(-9). Let w be 34\/(-14) + (q\/(-56))\/6. Which is the third smallest value? (a) w (b) -4 (c) -2\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4275*l - 29. Is f(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7}. Give prob of sequence rrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 21*g. Let i(b) = 3*b**2 - b + 8475. Determine i(r(p)).\nAnswer: 1323*p**2 - 21*p + 8475","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 16. Solve -g*q + 5*x = 34, -q - 13 = -3*x + 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 14*m - 9. Determine s(11).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6888956 is divided by 2304.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 5*o**2 - o + 10. Let g be v(5). Solve -g*l = 3*n - 9, -3*l + 9 = -3*n - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 150178773 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205545?\nAnswer: 3, 5, 71, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 4*q**5 + 20*q**4 + 20*q**3 - 20*q**2 - 24*q = 0.\nAnswer: -3, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -296 - -4442\/15. Let s = -87.2 - -87.1. Sort s, j, 11\/3 in decreasing order.\nAnswer: 11\/3, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 7*u**2 + 4*u - 8. Let g be s(-6). Let j(i) = -2 + 0*i + g*i - 5*i + i**2. Let x be (-1 - -6) + (-4 - -2). Calculate j(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 91, -3 in descending order.\nAnswer: 91, 9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3039*i - 14490 = -2717*i for i.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.7951015 to 3 dps.\nAnswer: -3.795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -421 (base 9) to base 13.\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/5? (a) 51.6 (b) -5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 5*f - f)*(-f**2 + f**2 - f**2 + f).\nAnswer: f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wgkw when four letters picked without replacement from {c: 2, k: 2, w: 4, g: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p**3 - 4*p**2 + 4*p. Let t(g) = -13*g**3 - 9*g**2 + 9*g. Give 9*h(b) - 4*t(b).\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 35*f + 288. Let k be z(-8). Let a be 673000\/((k + -16)\/8). What is a rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1127126 divided by 13?\nAnswer: 86702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 6*j. Suppose j = -0*i - 2*i + 14. What is the remainder when 11 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 29*l - 25*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 10. Let j be c(-12). Suppose 3*f - 3*b = 36, j*f - 18 - 21 = 5*b. Let z(p) = p + 3. Calculate the lowest common multiple of 6 and z(f).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2096254 milligrams to nanograms.\nAnswer: 209625.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 243 = -x, 0*x + x = -2*c - 233. Which is greater: c or -118?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/6564 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4883 and 218964.\nAnswer: 4160316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**2 - 18*b**2 - 7*b**2 - 20*b**2.\nAnswer: -38*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/39787 and -59\/10851.\nAnswer: 119361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50198 + -20449. List the prime factors of k.\nAnswer: 71, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 - 32*p**2 + 8*p**2.\nAnswer: -25*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -13, -13, -11, -7, -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 3*x**5\/5 - 23*x**2\/2 + 43*x - 30. Find the first derivative of a(k) wrt k.\nAnswer: 12*k**3 - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/8*(-1 + -3 - 2). Solve 12*b + 5 = 16*b + o*f, -4*b + 25 = -f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1252772, 1252770, 1252768, 1252766?\nAnswer: 1252764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10\/23 (b) 11 (c) 1 (d) 9 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l - 1. Let y(a) = 13*a**2 + 22*a + 3. Let r(x) = 24*x**2 + 41*x + 5. Let n(d) = 6*r(d) - 11*y(d). What is -4*n(z) + 14*o(z)?\nAnswer: -4*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -290928168.9999961 - -290928101. Let n = -68 - a. What is n rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)*1)\/sqrt(2).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**4 + 60*p**3 + 300*p**2 + 320*p = 0 for p.\nAnswer: -2, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(374)\/sqrt(176))\/(sqrt(8)*-1 + sqrt(8) + sqrt(8)).\nAnswer: sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1750 and 2407750?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -664*f - 29246 = 675*f + 8246 for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2185450?\nAnswer: 2, 5, 109, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -6*n**3 - n + 1. What is w(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2505 (base 6) to base 13\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2227898?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*m + 834*m + 135*m.\nAnswer: 866*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6252 is divided by 6229.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 29, 19, 7, -7?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 537 + -183. Put x, 2, -2, 5 in ascending order.\nAnswer: -2, 2, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 4*m**3 - 5*m**2 - 1\/2*m**4 - 24*m + 226. Factor r(n).\nAnswer: -2*(n - 4)*(n - 3)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (7 - (3 + -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -8.7, 1, -3\/17, 0.1 in increasing order.\nAnswer: -8.7, -3\/17, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 14*f - 39. Let h be n(3). Let x be (-2)\/(-3) - 96\/(-18). Suppose -3*o + 9 = -x, 26 = h*m + o. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -12, -4 in increasing order.\nAnswer: -12, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 655 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 70 + 3 + -5 - -3. Suppose 0 = -3*n, 0 = -2*g + 4*n + 121 + w. Let k be 25\/(-2)*g\/(-15). Calculate the highest common divisor of k and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -3*x + 21, -148*x + 144*x + 13*s + 100 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-143)\/((-22737)\/212))\/(1\/3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -243*h - 1. Is g(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 468*k**3 + 5*k**2 - 11*k. What is the tens digit of c(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 79 = r + k, -2*r + 3*k = -57. Suppose -69*l + r = -68*l. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 873 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -h**6\/120 - 7*h**5\/60 + h**4\/24 + h**3\/2 + 7*h**2 + 17*h. Give n(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/675)\/((3\/(-30))\/((-14)\/(-14)))\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - 20 - 27 + 47.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4044300 (base 5) to base 3.\nAnswer: -10022221201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, -0.7, -4, -1 in descending order.\nAnswer: -3\/8, -0.7, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/35*(-7)\/2. Let d be (2*(-2)\/4)\/(-1). Suppose d - q = -v. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68 + 98. Suppose -b - 2*z + 124 = 0, -1260 = 3*b - 5*z - 1775. Calculate the greatest common divisor of b and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5675 - 5433. Calculate the remainder when 255 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 7. Let x be s(-5). Let b be (-3 - -2)*-2 - 4. Let a be (b + 4\/3)*-21. Calculate the greatest common divisor of a and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**4 + 2212*z**3 - 13172*z**2 + 24092*z - 13128 = 0.\nAnswer: 1, 2, 3, 547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 9:13 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a (base 11) in base 10?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*y + 462 = 24*y. What is the smallest value in -5\/2, 2\/5, -2\/25, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 98, 99, 100, 101, 102?\n\"Answer: v + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 9*x + 525. Calculate the highest common divisor of 42 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 11*x + 180215, 3*o - 6*x - 135180 = -4*x. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5076975 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/5)\/((-4864)\/(-2280))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-2)*(-9)\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -n + 4*x + 18, 0 = -3*n - 2*x. Solve -4 = t - 3*v, -5*t + n*v + 2 = -2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74 - 74. Suppose g = 3*g + 3*j + 13000000, -5*g + j - 32500000 = w. What is g rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.25 to the nearest integer.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8734 and 2838?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - h + 5. Let i be w(0). Let s(x) = x - 1. Let f be s(3). Find the third derivative of 0*o**2 + o**i + o**f - 2*o**2 wrt o.\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 6*g - 24 = 0. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 n when three letters picked without replacement from {r: 8, n: 5}?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14dd926 (base 14) in base 16?\nAnswer: -9be8ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -77, 262, -48, 5 in increasing order.\nAnswer: -77, -48, -1, 5, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -61*o**2 - 1. Give r(1).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 26 = 3*j, 3*j - 3*o - 12 = 6*j. Let w(n) be the first derivative of n**4\/4 + 7*n**3\/3 + 4*n**2 + 5*n + 257. What is w(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, d: 1, l: 1}. Give prob of picking 1 c and 1 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + 15)*(0 - 4\/8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.09302 micrometers in meters?\nAnswer: 0.00005709302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-1 + 1)) + 1 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1125) - (-2 + sqrt(1125))*1) + ((6*(sqrt(540)*1 - sqrt(540)) - sqrt(540)) + sqrt(540))\/((sqrt(72)*-2)\/sqrt(6) + sqrt(12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3. Let y(c) = 9*c + 3. Suppose 317 = -7*b + b + 335. Give b*x(i) - 3*y(i).\nAnswer: -27*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6672, -6588, -6504, -6420?\n\"Answer: 84*a - 6756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 11) to base 4\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txttttttttttt. What is prob of sequence tx?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -10*y**2 - 4135*y - 4. Let o(x) = 8*x**2 + 4139*x + 3. Calculate -4*o(b) - 3*u(b).\nAnswer: -2*b**2 - 4151*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*h + 11. Suppose -u + 3 = -h. Suppose -108 - 63 = -5*l - j, 4*l = 2*j + 134. What is the remainder when l is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39632*n + 39032*n - 80950*n.\nAnswer: -2286*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2888 - -5284. List the prime factors of x.\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 205 + -138. What is the smallest common multiple of 4 and v?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 150, 302, 454?\n\"Answer: 152*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 10*y - 158. Let i be q(16). Factor 7 + 36*z**i - 8*z - 3 + 7*z - 12*z - 11*z.\nAnswer: 4*(3*z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 372 and 1364?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 44 - 226. What are the prime factors of k?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2113, 12161, 35951, 69257, 112079, 164417?\n\"Answer: 4758*o**2 - 6871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 4108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 minutes after 3:58 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Work out 879319 * -4.\nAnswer: -3517276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = q - 3*w, 4*q - 5*w = -11 + 19 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21621, 86517, 194677, 346101, 540789, 778741, 1059957?\n\"Answer: 21632*s**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -3. Suppose 3*b = u + 3. Let o(h) = -h**2 + h + 2. Let q be o(b). Sort -4, q, 2 in descending order.\nAnswer: 2, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 4*h**2 + h + 9. Is 19 a factor of i(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -188599 (base 13) to base 3.\nAnswer: -1011102012001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*s**3 + 5*s**3 - 3 - 11*s**2 + 0 as k*s**3 + u*s**2 + i*s + h and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*u**3 - 19*u**3 + 32*u**3 + 11*u**3 + 11*u**2 - 38 - 11*u**3 to l*u**2 + t*u**3 + n*u + f and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5988279 - 3.\nAnswer: 5988276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1192, 2387, 3582, 4777?\n\"Answer: 1195*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4932 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9 - 0.5. Suppose 2*q + 1 = 5. Let u be 1\/(-1*2) - 13\/(-520)*-60. What is the closest to q in 4, z, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of n**5 - 55*n**4\/2 + 95*n**3 - 314. Suppose r(v) = 0. Calculate v.\nAnswer: 0, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 273 - 183. Let v = 90 - j. Which is bigger: 22 or v?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -505, -507, -521, -553, -609, -695, -817?\n\"Answer: -x**3 + 5*x - 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 + -0.2. Let l(g) = 38*g. Let r be l(-2). Let n be -4*(r\/24 - -3). What is the nearest to n in -1, c, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 5870443\nAnswer: 1\/5870443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 10*u**2 + 15*u + 1. Let q(f) = 11*f**2 + 18*f + 3. Calculate 6*p(d) - 5*q(d).\nAnswer: 5*d**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10222122120002 - -11?\nAnswer: 10222122120020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0715 rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 195614 to the power of 1\/2, to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 10101010110011010101101?\nAnswer: 10101010110011010101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2338*g - 2363*g = 104900. What is g rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 10:08 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -2 - (-5 - 0) - (393 + -362).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47086 and 273.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*(n*n**(-9))\/n*n**(-9\/5)*n*((n*n**(2\/3)\/n)\/n*n)**(1\/11))\/((n*n**(-5))**(2\/37))**(-2\/51) assuming n is positive.\nAnswer: n**(-700328\/103785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2688284, 5376577, 8064870, 10753163, 13441456?\nAnswer: 16129749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 3*m + 15, 4*q - 2*m = 11 + 9. Let o(p) = 6*p + 2. Calculate o(q).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 12:11 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) - (sqrt(1300) + sqrt(1300) + -4*sqrt(1300)*-1 + sqrt(1300)) - (sqrt(1300) - (1 + 1*sqrt(1300))))**2 + 2 + -4*sqrt(13) + 1 + sqrt(13) + -3.\nAnswer: -123*sqrt(13) + 46801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 4*x = 80, 1828*p - 2*x - 28 = 1827*p for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 462460724 divided by -295691?\nAnswer: -1564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 97 + (-203780)\/1150 - 2\/(-10).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 2*y**2 - 2*y - 3. Let l be v(-3). Let q(g) be the first derivative of 171 + 7*g + 1\/2*g**2. Determine q(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 230\/7 + (-33618)\/18102\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299 take away 0.26?\nAnswer: 298.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 210225 - 22453?\nAnswer: 143332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32490 is divided by 422?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.8 - 81.8. Let r = -165 - f. Let k = r - -98.1. Round k to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**3 - k - 4. Let c(x) = 4*x**3 + x + 7. Suppose -45*d + 44*d = 3. Give d*c(m) - 5*w(m).\nAnswer: -2*m**3 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**3 - 3*k**2 - 3*k**3 + 1 - 2*k**2 to the form r*k**2 + u + g*k + f*k**3 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 - 14. Calculate the highest common factor of 90 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (18 - -3) - (7 - 1 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(102)*5 + sqrt(102))\/sqrt(6)*5.\nAnswer: -120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-7) + (-561)\/(-21). Suppose -5*c - 3*y + 1714 - 634 = 0, 4*c = y + 864. Calculate the greatest common divisor of c and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-1) - (1 + -1). Let h(r) = r**2 + 5*r - 2. Let s be h(-5). Let j = f + s. Which is the closest to 0.1? (a) 5 (b) j (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -0.08, 6\/7, -3 in ascending order.\nAnswer: -3, -0.08, 6\/7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 88309380597 and -84.\nAnswer: 88309380513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37509250 or 37509257?\nAnswer: 37509250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(363)*1 + sqrt(363) + sqrt(363) + sqrt(363) - sqrt(363)*-2*-5)**2.\nAnswer: 23232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 6 = 3*i, 2*i - 2*b + 22 = -2*i. Let o(m) = -m**3 - 3*m**2 + 5*m + 4. Let w be o(i). Solve -5*v + 0*v - 20 = w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 20 = t. Let g be (2 + t\/(-3))\/1. Which is the third biggest value? (a) -0.7 (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 211*l**2 - 33*l**6 + 3 + 11*l**6 - 3 wrt l.\nAnswer: -2640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 5:42 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -79926*h + 37606*h + 38352*h. Let d(u) = 2*u. Calculate v(d(g)).\nAnswer: -7936*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18.5 + 15. Let z = -4 - o. Let h be (2\/(-4))\/(1*2). Which is the closest to h? (a) -0.2 (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 67 - 127. Suppose -12*a = -18*a - c. Let j be 12 + (-2 + a)\/4. Is 11 equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5117465 and 10160.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 5*w + 21, -9 = 3*z - 4*z - 2*w. Let n be 1*(13 + -4 - 4). Let d be (n - z) + 0 + -3. Is d < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -93 + -d?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkm when three letters picked without replacement from {k: 2, m: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(136)*-2 + -4*sqrt(136)*2)\/((sqrt(88)*-2)\/sqrt(11) + sqrt(40)\/(sqrt(10)\/sqrt(2))))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1252 = -179*x + 4*x - 2423 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -959 + 999. Suppose 17*l - a = -3*l. Solve 0 = 4*i - 3*i + l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 77385403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + t - 10. Let b be 2\/t + 14 + -10. Solve -b + 6 = -3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 164*k**2 - 6023*k - 3055. Calculate s(-109).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + 2 + 5)**2 - (-4 + 0 + sqrt(396))) + -3 + -4*(-6*(sqrt(396) + -2))**2.\nAnswer: -57154 + 3534*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2025*h + 47. Is 45 a factor of x(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 2*o - 10 = 0, 0 = 3*z + o + 105 - 94 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13, 18, 9, -14, -51?\n\"Answer: -7*r**2 + 26*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -168 + 239. Let p = 136 - b. Calculate the remainder when p is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*t + 5. Suppose -2*s + 3*s = 0. Suppose -t*v - v + 135 = s. Is 19 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 7:55 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k + 17130242327 - 17130242327.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276 = -1086*l - 3690 - 4233 - 9729 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5)*g*g)\/g**(-1))\/(g*g*g\/((g\/(((g\/g**(-2\/11))\/g)\/g))\/g)*g*g\/g**(3\/5))*((g*(g*g**(-2\/11)*g)\/g)\/g**(-5))**(-34) assuming g is positive.\nAnswer: g**(-1187\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k + 6. Suppose -3*w + 4 = 4*r, 0 = -5*r + 3*w + 19 + 13. Suppose r*p + 8 = 2*l + 2*p, -p = 3. Let h(n) = -1. Determine l*x(u) + 5*h(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w + 3*w - 4*w)*(64*w + 18*w + 134*w) as r + g*w + f*w**2 and give f.\nAnswer: -864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -23943700 to the nearest one million.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (870*j + 38*j**2 - 870*j)*(-1 + 1 - 2) + 2*j**2 - 2*j**2 + 2*j**2 in the form a*j + m + k*j**2 and give k.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7419\/4340 + -3\/620. Let d(y) = 22*y + 28. Let r be d(-4). Let t = r + 59. Which is smaller: t or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 4*z**2 - 3. Let n be d(-3). Let b be n\/(-1 + 43\/41). Suppose b = -5*x - 1370. What is x rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(735)*2 - sqrt(735) - sqrt(735) - (sqrt(90)\/sqrt(2))\/sqrt(3))\/((sqrt(15)*2)\/sqrt(5)*5).\nAnswer: -sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(448) + sqrt(448) + sqrt(448) + sqrt(448) - (-1*sqrt(448) + sqrt(448))*3)\/((sqrt(4356)*1)\/(-5*sqrt(144))).\nAnswer: 80*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 31 times 368\nAnswer: 11408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 4, 2, -96, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2544*q**3 + 6*q**2 - 149*q - 16384044?\nAnswer: -7632*q**2 + 12*q - 149","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*v**3 + 19 + 17*v**3 - 14*v**3 - 15 to l*v + o + t*v**2 + c*v**3 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4771 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 38517 divided by 12839\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5720\/73 or -77?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - 30\/34*6. Let n = o + 32\/51. Let y = 0.023 + -0.023. Which is the closest to y? (a) n (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 37\/17 and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/3*(-6)\/5. Let t be (870\/88)\/(3 + j). Let w = t + 28\/11. What is the third biggest value in -1, 4, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-3 + 1*(sqrt(208) + 4) - ((sqrt(143)*-2 - sqrt(143))*6 - sqrt(143))\/(sqrt(176)*2 - sqrt(176) - sqrt(11))))**2.\nAnswer: -248*sqrt(13)\/3 + 12637\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from {j: 2, q: 4, y: 4, v: 4, u: 1, d: 4}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.926 - -6.926. Let p = 17.6 - 18. What is the nearest to c in 1, p, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 - 3*l**2 - l - 2. Let v be r(-2). Suppose v*j - 8 = -0*j. Suppose -j*m - 8 = -6*m. Which is the smallest value? (a) m (b) 2\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22821071*i*r - 182876*i wrt r?\nAnswer: -22821071*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.22*-4611\nAnswer: -1014.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + y - 3 + 8 = 0, 3*y - 21 = -3*l. Let o = -5992 + 5997. Solve o*v - 2 = l*d - 1, -13 = 3*d + 4*v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1925 by 5.\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1\/4, 48, 0.2, -5\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.459 + 683.459. Let q = p - 681.99999138. What is q rounded to seven dps?\nAnswer: 0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 - 59.0103. Let s = 0.6 + -0.622. Let n = s - p. Round n to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 6 = -9. Suppose n*o + 5628 = 4*k - o, -5*k - 4*o + 6999 = 0. Is 23 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -43, -45, -55, -79, -123, -193?\n\"Answer: -y**3 + 2*y**2 - y - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 2*j + 4. Let y(m) = 2780*m**2 + 10*m + 1967. Let o(i) = -6*t(i) - y(i). Differentiate o(v) wrt v.\nAnswer: -5548*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/101? (a) 2\/7 (b) 13\/68 (c) -4\/9 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 7*m + 5. Let j be z(7). Let g = 25 - 30. Let t(n) = 2*n - 13. Let y(l) = l - 6. Let w(d) = g*y(d) + 2*t(d). Determine w(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/47 - 53\/141. Let x = 8 - 7.6. Suppose l + 14 = -2*k + 5*l, -3*k - 3*l + 24 = 0. Which is the nearest to -1\/2? (a) y (b) k (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 7:37 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5202 less than 5073?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 798 (base 14) in base 2?\nAnswer: 10111100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -218 - -339. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*sqrt(605).\nAnswer: -11*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 16*b - 24. Is c(7) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 597 - 197. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 740 - 685. Calculate the remainder when 435 is divided by c.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f + 26. Let d be y(-6). Suppose 0 = 7*n - 3*n - d. Suppose 4*v - 22 - 65 = -5*c, 3 = v - 5*c. Calculate the lowest common multiple of n and v.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/51)*b*b**(-1\/8))**(9\/4))**(-45) assuming b is positive.\nAnswer: b**(-46035\/544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -148 - -168. Suppose -4*c = 5*m + i, 0 = -2*m - m - 12. Let w be 0*(0 - 1\/(-2)). Is w smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**2\/3 - 3017*w + 9050\/3 = 0.\nAnswer: 1, 9050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-66))\/((-65)\/(-52))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1321?\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2*q = 216, 6*q - 93 = -x + 2*q. Let a = 29 + 13. What is the highest common factor of a and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.5 - 2.5. Let z = 8 + g. Which is the second smallest value? (a) -1.5 (b) -6 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 1 = 3. Suppose 2*x + v*n = -2*n + 42, n = 4. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -724 divided by -13?\nAnswer: 724\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448)*-3*-4.\nAnswer: 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z - 30. Let o(g) = 2*g**2 + 10*g + 10. Let l be o(-4). Let n(v) = 6. Let p(q) = 4*q - 1. Let h be p(3). Give h*n(t) + l*c(t).\nAnswer: 2*t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73 - -73. Which is the second biggest value? (a) 0.05 (b) -2\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4106399421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -691574071, -691574073, -691574075?\nAnswer: -691574077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 7*n**3 + 18*n**2 - 284*n + 4. Let c(h) = -4*h**3 - 8*h**2 + 142*h - 2. Determine -9*c(w) - 4*x(w).\nAnswer: 8*w**3 - 142*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**3 - 2*q**2 - 4*q + 10. Let d(g) = -1 + g**2 - 5 + 3*g**3 + 4*g - 5. Let y(v) = 3*d(v) + 4*x(v). Is y(6) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 + 40. Suppose i - 515 = -g*c, 4*c + 342 = 2*i + 860. Which is bigger: 128 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 202*a - 4194. Calculate the remainder when l(23) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -143 or -141?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -16492.21022 to the nearest integer.\nAnswer: -16492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 1744 - 3437 + 1685 + 2*h**2 + 7*h. Let c(n) = n - 1. What is -24*c(s) + 3*k(s)?\nAnswer: 6*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-48)\/(-84) - 3\/42. Let i(x) be the first derivative of -3\/4*x**4 - 2\/5*x**5 + q*x**2 + 1 + 0*x + 0*x**3. Suppose i(y) = 0. Calculate y.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*4\/(-48))\/(((-1014)\/(-144))\/(-13))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1998 = -3*n + 12*n. Is n a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1922 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120, 475, 1064, 1887?\nAnswer: 2944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17538 = 259*h - 174*h + 152*h for h.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -464298, -928562, -1392826, -1857090, -2321354, -2785618?\n\"Answer: -464264*g - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7 + -1)\/(-30)*-5. Suppose -2 = -3*n - j, -17*j - l = 2*n - 14*j. Which is the closest to -0.1? (a) 3 (b) n (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2964*g**2*w + 101*g**2 + g*w - 6 wrt w.\nAnswer: 2964*g**2 + g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**6\/10 - o**4\/6 - 147*o**2\/2 + 6*o - 3. What is the first derivative of f(v) wrt v?\nAnswer: -12*v**3 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/4935 and 53\/14805.\nAnswer: 14805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3409061.497 and 1338.\nAnswer: 3410399.497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 3*i + 6, 20 = 5*z + 11*i - 16*i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -m**6\/27 - 4*m**5\/45 + 4*m**3\/27 + m**2\/9 - 1. What is f in s(f) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*h - 79 + 31 + 22 + 30 as f*h + x and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 6*r = 0. Suppose 2*u + 5 + r = s, -5*s - 2*u = -61. Calculate the common denominator of -33\/14 and (-3)\/8*s\/2.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -717 + 423. Let z = -107 - b. Is 29 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-141 - -44 - -95) + (2 - 67).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxv when three letters picked without replacement from {u: 8, x: 5, i: 1, v: 2, d: 1, e: 3}?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 6 = 2*h + 2, 4*h - 4*g - 8 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3713925.\nAnswer: 3, 5, 23, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccctt. What is prob of picking 3 c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.5, -6, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*n - 13720 = -874*n + 5783 for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 + 2*d**2 - 2*d**2)*(1 - 1 - d) + 6*d**4 - d**4 + 0*d**4.\nAnswer: 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 29*k + 4. Let i(w) = -1. Let h(l) = c(l) - i(l). Let t = 1024 + -1020. List the prime factors of h(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/3))**(5\/6)*(r*r*r**(-1)*r)**(-13))**(-2\/35) assuming r is positive.\nAnswer: r**(473\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 43 = 3*s, -4*s + 0*d - d + 19 = 0. Suppose -8*x = 11*x - 399. What is the remainder when x is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -58639 and -115.\nAnswer: 6743485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -2\/21 (c) 34 (d) -2016\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 4 = 4*z - z, 5*z = -10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -6*w - 5. Let l be a(-4). Suppose 27*b + 120 = 31*b. Let h = b - l. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/(-25) - 64\/(-10). Suppose -u - g = -2*u. Suppose r = 2*x - 4*x + 23, r = 4*x - u. Calculate the common denominator of r and 3\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*(sqrt(3) + 3 - sqrt(3))**2 + sqrt(3) + sqrt(27) + -3.\nAnswer: 4*sqrt(3) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -978.6 - -460.5. What is p rounded to the nearest ten?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/(-33) + (-3 - 669\/(-126)) and 107\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 4*i - 4 = 0, -4*o = -6*o - 2*i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.486059 litres?\nAnswer: 486.059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 3:18 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 848942 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-4) - (-63)\/(-252)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2))**(3\/14)*(k**0\/k)**(-4\/13) assuming k is positive.\nAnswer: k**(73\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 58304 != 58301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 223290 rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 10 = h, 5*a - h = 17 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 900 = -19*g + 2287. Let c = -63 + g. Solve -5*a + c*a - 5 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 130487488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 5*c - 6. Suppose p - 4*t + t + 7 = 0, -2*t + 18 = c*p. What is the smallest value in -0.1, p, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 674 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55209447\/880 - 62738. Let r = 357\/80 - t. Calculate the common denominator of -33\/2 and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2185919728?\nAnswer: 2, 9719, 14057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 6:28 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17756 is divided by 1981?\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 - -65. Suppose h + o*h = -3*v, 3*v = 4*h + 24. What is the fourth smallest value in -2\/13, 4\/5, h, 0.3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -361*q + 8 + 11 - 362*q**2 + 13 - 32 wrt q?\nAnswer: -724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1606308 and 28.526006.\nAnswer: -1606279.473994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tcctcccc. What is prob of sequence tc?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20751*z**2 + 28702 with respect to z.\nAnswer: -41502*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 311.9 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k - 6. Let u(m) = -3*m - 7. Let d(s) = 5*u(s) - 6*y(s). What are the prime factors of d(3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*8\/12 - (-2 - 82). Let r = j + -64. Calculate the lowest common multiple of 1808\/r - (-1 - 12\/(-9)) and 2.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-63)\/(-6)*(-8)\/(-12). List the prime factors of ((-2)\/6)\/(b\/(-399)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (182 - 165) + (0 - 4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -606, -623, -644, -669, -698, -731?\nAnswer: -768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 34 = -3*t + 30, -2*z = -3*t + 50. Calculate the smallest common multiple of 330 and t.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d - 2*d - 2*d**2)*(38*d - 3*d + 6*d) - d**3 + 2*d**2 - 2*d**2 to w*d**2 + m*d + q*d**3 + h and give q.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 247450166 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5a66 - 4?\nAnswer: -5a6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lrljrfqjqrrmmr. Give prob of picking 1 r and 3 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 1\/9 (c) 8 (d) 21 (e) 0.06 (f) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -11 + -43 + 110 + -80.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*c - 222*c - 323 = -5747 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 607315 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 84*d**2 + 82*d**2 + 281*d - 33*d**2 wrt d?\nAnswer: 266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81755, -81863, -81971?\nAnswer: -82079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1972919*f*z**5 - 3*f*z**3 - 2467*f*z**2 - f + 451*z**2 wrt z?\nAnswer: -118375140*f*z**2 - 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-10159906 + 13416*w + 10159906 + 3*w - 4*w - w + (-w + w - w)*(1 - 1 - 1) - 3*w + w + w)*(-5 + 4 + w - 2*w).\nAnswer: -13414*w**2 - 13414*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 15. Let u(h) = -2*h - 5 + v*h + 7. What is u(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k - 10. Let c be l(-4). Suppose -2*a - 2*f + 67 = -71, -4*a - 5*f + 278 = 0. Calculate the remainder when a is divided by c\/(-12) + (-1025)\/(-30).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19232 and 1792?\nAnswer: 1076992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 16*g**3 - 3*g**2 + g + 3. Determine t(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -6. Let f = -1275019.295 - -1275011.29500001. Let j = f - c. What is j rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/33 + (2 + -2)\/(-119 - -121). Suppose -16\/11*g - 32\/11 - n*g**2 = 0. What is g?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 10 = 5*u, 0 = u - 7*v + 5*v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 12. Let w = l - 18. Let g = w + 18. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 8 = -2*z, -5*z + m = 3*m + 4. Suppose -2*n + 5*u = 3*n + 5, -4*u - 20 = 0. Let r = 9 + n. Put r, z, 1 in descending order.\nAnswer: r, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11416 + -1161?\nAnswer: -12577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44 - -144?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**3\/9 + 10612*g**2 - 380995648*g\/3 + 65972344064\/9 = 0.\nAnswer: 58, 23848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.04 + -0.04. Sort k, 0.6, 4 in descending order.\nAnswer: 4, k, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 735 + 90 = -55*l for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)*-1)**2 + (sqrt(36)\/(sqrt(12)*-2) - sqrt(3)).\nAnswer: -3*sqrt(3)\/2 + 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/5736 and -28\/48360933.\nAnswer: 386887464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 2 - -2 - -3. Let t(c) = 2*c - 8. Let q be t(b). Let o = 18 + q. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v + 12 + 23 + 14*v**2 - 51*v**2 wrt v?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -111 + 84. Let u be (6\/18)\/((-3)\/s). Suppose -u*d - 456 = -7*d. What are the prime factors of d?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 g, 1 y, and 1 q when four letters picked without replacement from {y: 3, g: 2, k: 7, q: 2, m: 4}.\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from papgappaapag. What is prob of sequence gppp?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 47820873 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: Is 12863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s**3 + 16*s**3 + 9*s**3.\nAnswer: 37*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (-9 + 25 - 7) + -13.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Sum 35743 and 0.5.\nAnswer: 35743.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 65*c**2 + 374*c + 2413. Calculate a(57).\nAnswer: -2261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(5*t - 3*t - 3*t) + 2*t - 1 + 1 + 0 + 0 + 3*t + (3 + 1 - 3)*(-2 + 2 + 2*t).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -36868*i. Let x(g) = -g**2. Give d(x(w)).\nAnswer: 36868*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3455.\nAnswer: 5, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4239*f - 5 - 11 + 2*f**2 - 4239*f as d*f + w + k*f**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 4 = 8*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 4:42 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 203.286*0.3\nAnswer: 60.9858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 7*v**2 - v + 9. Let o(i) = -47*i - 3 - 2*i**2 + 1 + 47*i. Determine 2*j(x) + 9*o(x).\nAnswer: -4*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in 0.4, -3, -1.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4307.09193 - -4306.8. Round d to three decimal places.\nAnswer: -0.292","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 35592?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7629, 30532, 68699, 122130?\n\"Answer: 7632*x**2 + 7*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0235554436 rounded to 3 dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-3) - 4) + 10\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 11. Suppose -4*k - 3*c + 25 = 4, 0 = k + 2*c - 9. Solve r*a + k = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3)\/(h*h\/(h\/(h\/(h\/h**3)))*h*h*h) assuming h is positive.\nAnswer: h**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -110, -119, -128?\n\"Answer: -9*c - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -471.3 + 526. Let h = -51.7 + u. Let s = -0.8 + 0.3. What is the fourth smallest value in -1, -0.1, h, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268844?\nAnswer: 2, 67211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 164 and 152.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + x = w - 10, 0 = -2*w - 2*x + 12. What is the first derivative of -20*m**3 + 11 - 3 + w*m - 8*m wrt m?\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -109.2 - -108.2755. Let d = a + 38.7345. Round d to the nearest integer.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbk when four letters picked without replacement from {k: 2, x: 5, b: 13}?\nAnswer: 143\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/13 (b) 0.041 (c) -117\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 37. Let n(l) be the second derivative of 29*l + 0*l**2 - 2 + 1\/6*l**4 + 0*l**3. What is n(m(t))?\nAnswer: 2*t**4 - 148*t**2 + 2738","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79 + 65. Let x = o - -14. Solve 0 = -x*i + 3*i - 12, 3*i = -v + 7 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2513*p**5 + p**4 + 2*p**3 - 116951*p**2.\nAnswer: -150780*p**2 + 24*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1909410?\nAnswer: 2, 3, 5, 63647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14 - 5 - 4 - (7 - 7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 1\/8*-5. Put -2, m, -0.4 in ascending order.\nAnswer: -2, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -5*v - 29, -19*t + 16*t = v - 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -1. Suppose -15*c + 16 = 76. Let b(x) = -5*x - 6. Calculate c*i(s) + b(s).\nAnswer: -5*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (8 + -12 + 28 - -10)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 234*d - 654. Calculate r(0).\nAnswer: -654","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57*s**3 - 82*s**3 - 89*s**3 + (0*s**2 + 2*s**2 - 4*s**2)*(0 - s - 2 + 0).\nAnswer: -112*s**3 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3399509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261818876?\nAnswer: 2, 11, 491, 12119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (3 + -1)) + -7 + 0 + 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6004 greater than or equal to 18010\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*o = -109*o - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 18 = w, 9 = s - 5*w - 6. Suppose s*n = -0*n. Solve -q**3 + 2 + n*q**2 - q**2 - 1 + q + 0 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (91035\/4165)\/((-105)\/245).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in 6\/7, -2\/7, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5574*f = -5490*f - 168. Let -58\/3*x - 88\/9*x**f - 4 + 284\/9*x**3 - 44\/3*x**4 + 2*x**5 = 0. What is x?\nAnswer: -1\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75117299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/850 and -129\/340?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*m - 7*m + 8, 4*g - 13 = 5*m. Calculate the highest common factor of g and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**2*h - 169*g**2*s + 102*g*h*s with respect to h.\nAnswer: -g**2 + 102*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) -34 (c) 4 (d) -9 (e) 2 (f) -4 (g) 11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13513918?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - p + 10 = 0, 235*p + 19 = -5*d + 239*p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1656564 by -962.\nAnswer: 1722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ad2ab + 3?\nAnswer: -ad2a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -2. Find the third derivative of y**2 - 3*y**6 - 2*y**i + 0*y**6 wrt y.\nAnswer: -360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 597 + -595. Let l(i) be the third derivative of -1\/60*i**5 - 1\/24*i**4 + 0*i - 7*i**n + 0 + 1\/6*i**3 + 1\/120*i**6. Determine b, given that l(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13958444*k**4*p**2 + 4*k*p**2 + 83682213*p**2 wrt k?\nAnswer: 55833776*k**3*p**2 + 4*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143, 138, 121, 86, 27?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -28, -45, -66, -91?\n\"Answer: -2*r**2 - 11*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 203*z**2 + 720*z + 689*z - 2125*z + 716*z as t*z**2 + v*z + k and give t.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -180, -3, -1, 3, 11 in decreasing order.\nAnswer: 11, 4, 3, -1, -3, -4, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 220, 403, 586, 769?\n\"Answer: 183*v + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1136 by 53479.\nAnswer: -1136\/53479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c\/(c\/(c\/(c*c**(3\/7)*c))))\/c)*c)\/c)\/((c**(1\/23)\/c)\/c)*c*c*c**12*c**(-19) assuming c is positive.\nAnswer: c**(62\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 3*f**2\/5 + 14322*f\/5 + 1209504\/5 = 0?\nAnswer: -4688, -86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 8. Let q be d(11). Suppose -3*k + q = -3*r, 2*r = -k - r + 5. 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 c be 10\/(-1875)*5*5. Is c bigger than -17\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 5*x - 6. Let h be m(-2). Find y, given that -2\/11 + h*y + 2\/11*y**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 182, 181, 180, 179, 178?\n\"Answer: -y + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -116, -263, -384, -467, -500?\n\"Answer: 2*p**3 + p**2 - 164*p + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25593046?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 22. Let y be z(-14). Suppose -15*o = y*o - 10971. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -646*c**2 + 1018*c - 66. Let l(s) = -648*s**2 + 1020*s - 77. Let i(v) = 6*l(v) - 7*w(v). What is the second derivative of i(a) wrt a?\nAnswer: 1268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 9*s + 8. Is s at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13470402061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 126 - 178.6. Round w to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(6\/17)*r*r**(5\/7))\/(r*r\/r**(-38)*r**(-1\/7)) assuming r is positive.\nAnswer: r**(-4497\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29 and 110.\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -344177.50037 + 344215.5. Let w = -191 - -229. Let a = w - h. Round a to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -997*i**3 - 18. Let u(s) = -996*s**3 - 15. Determine 5*r(n) - 6*u(n).\nAnswer: 991*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1973*u - 48*u = -49*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -494 + 1068 = -41*b for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1642? (a) 3\/4 (b) 3 (c) 10 (d) 29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -3\/7, 65504\/7 in decreasing order.\nAnswer: 65504\/7, 2\/7, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 12 = 4*p - c, 0 = 2*p - 4*c + 4. What is the second derivative of p*q**2 - 2*q**2 + 0*q**2 + 5*q - 4*q**3 wrt q?\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2 (b) -4 (c) 3\/2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.46 + -0.16. Let x be 6\/(-8) - 546\/8. Let v = -273\/4 - x. Which is the nearest to 0.1? (a) v (b) -2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 130 = 4*x. Suppose -159 = -13*r + 12*r. Let v = -57 + r. Calculate the remainder when v is divided by x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5622527 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -549*b**2*c**3*s - 82*b**2*s - b*c**3 - 65*b*c**2*s wrt c?\nAnswer: -3294*b**2*s - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 7:15 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 170576 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*v**3 + 65 - 65 - 62*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 136 - 138. Which is the nearest to 0.1? (a) t (b) -0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r**2 + 179*r - 44. Let u be t(-45). Which is smaller: u or -3\/61?\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/3 + 4\/12. Suppose 2*r = -q*r + 5. Suppose g - 6 = -r. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74 - 85 + 25)*(-5*f + 12*f - 2 - 6*f).\nAnswer: -134*f + 268","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11333 and 47605076?\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.09, 1\/8 in descending order.\nAnswer: 1\/8, 0.1, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 505 + -97. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-1))\/((-1)\/(-2)). Suppose 4*p = -2*s + 5*s + l, 2*p - 22 = -3*s. Suppose -6*q + 14 = -s*q. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/2 and -6298 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -12120 (base 3) to base 6\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9236c9 - 1?\nAnswer: 9236c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-25)\/(-45)*931 - (-6)\/(-27) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8490903 (base 10) to base 8.\nAnswer: -40307627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2202 - 101?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5117 - -5117. Put d, 3, 1, -0.1, 18\/83 in decreasing order.\nAnswer: 3, 1, 18\/83, d, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 7*p**3 + 8*p**2 + 13*p + 15. Let a(y) = -52*y**3 - 57*y**2 - 92*y - 106. Let x(q) = 2*a(q) + 15*f(q). Give x(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1675 and 129.\nAnswer: -1546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.99120833 to 2 decimal places.\nAnswer: -13.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5ac9cc + 3b?\nAnswer: 5aca18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven quarters of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 147 = -3*h, -4*h + 11 = -1. Let r be 0 + -1 + -24 + (-9 - -5). Let f = g + r. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 1253 = -255. Let o = -145 - q. Suppose 2*k + o = -2*k. Round k to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1018939 or -1018827?\nAnswer: -1018939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (45 - 12 - 2)*(3 + 2*l - 3)*(2*l**2 - l**2 - 2*l**2) in the form o*l + j*l**2 + b + u*l**3 and give u.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 4. Let v(c) = -183*c - 1280. Let w be v(-7). Let t(f) = f - 9. Let u be t(9). Put -2, p, u, w in descending order.\nAnswer: p, w, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -79201 > -79196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s + 76 = 342. Let t(w) = -2*w**2 + 6*w + w**2 + 1 - s*w + 8*w. Give t(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.53977939 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 83799839345 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-98 - 4)) + -24 + -22?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.527*-1691.2.\nAnswer: 891.2624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 6 = -12*n. Let o be (107 + n)*2\/6. Let q = o - 9. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 134 + -663\/4. Let l = i + 32. Which is smaller: -1\/2 or l?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1536416?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p + 15. Let v be f(18). Let q = v + -36. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*36\/150*(-315)\/189?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 10 + 7 - 12*l. Let f(w) = -2*w + 3. Let z(m) = 34*f(m) - 6*t(m). Let a(y) = -5*y. Give z(a(b)).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 97447160 - 0.5\nAnswer: 97447159.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430656?\nAnswer: 2, 3, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*x + 163*x = 20. Factor -m**x + 0 - 1\/2*m**5 + 1\/2*m + 0*m**3 + m**2.\nAnswer: -m*(m - 1)*(m + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3496379607 to the power of 1\/2, to the nearest integer?\nAnswer: 59130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 - -26. Is d at most as big as -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92427396, 92427399, 92427404, 92427411, 92427420?\nAnswer: 92427431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*h**3 + 7*h**3 + 2*h**3.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -211 + 323. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199559.\nAnswer: 199559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011 - -12110?\nAnswer: 11022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 18. Suppose d - 2*p = 6*d - 152, c*p = -4*d + 120. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54 - -59. Suppose f + 0*k + 2*k = 136, -2*f - 2*k + 262 = 0. Suppose -f = -y*g - 6. What is the greatest common divisor of 16 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*t + 549 - 13309 = -93*t. Calculate the remainder when 1630 is divided by t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + (-3*sqrt(833) - sqrt(833))) + 4 + 4*(-1*(1 + sqrt(833) - sqrt(833)) - (sqrt(833) + -1*sqrt(833)*6 + sqrt(833))))**2 + -3.\nAnswer: 53309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 - 2*g**3 + 0*g**3 + (10*g - 19 + 19)*(g**2 - 3*g**2 + 4*g**2).\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4 = -14. Solve -2*i - i = -w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5891280?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1114 or 1165?\nAnswer: 1114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3*sqrt(19)*-4 + (sqrt(114)*-3*2)\/sqrt(6).\nAnswer: -18*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -617.29593 rounded to the nearest ten?\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -357, -731, -1115, -1515, -1937, -2387, -2871, -3395?\n\"Answer: -h**3 + h**2 - 370*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -4, -9, -26, -61, -120, -209, -334?\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 8*i**2 + 12*i - 5. Suppose 0 = -j + 3*b + 17, 0*j - 15 = 5*j + 5*b. What is the smallest common multiple of w(9) and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*sqrt(300) + -2*sqrt(18)\/sqrt(6) + sqrt(75) + -2*sqrt(75) + 0 + sqrt(75) + 1 + 3)**2.\nAnswer: -176*sqrt(3) + 1468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*f**3*n*w**3 - 24*f**3*w - 2*f**3 - 2*f*n*w + 1113*f*w**3 - 12*f*w + n*w wrt w?\nAnswer: -48*f**3*n*w + 6678*f*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = 62*a - 103*a. Solve 3*u = a*z + 20, 5*z + 15*u - 10*u = -20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)*-1 + sqrt(170) - sqrt(170))*2)\/(sqrt(120)\/(sqrt(60)\/sqrt(5))).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/126063 and 34\/23261625.\nAnswer: 488494125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 76*k - 1222. Determine n(16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 128.1 + -128. Sort j, 11, 1 in ascending order.\nAnswer: j, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.307 and -0.6.\nAnswer: 0.1842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n. Let b be m(3). Let x(a) = 8 - 2*a - 13 + 1 + 8. Give x(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2188*l**6 - 10*l**3 - 2*l**2 + 279*l - 24?\nAnswer: 262560*l**3 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2. Suppose 2*i - 3*n - 26 = -n, 0 = 2*i - n - 24. Let a = -8 + i. Let r(c) = -a*c**2 - 2*c**2 + 3*c**2 + 0*c**2. Calculate r(x(w)).\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54203104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 smaller than -6288\/1757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*i + 223*i = 473*i - 42 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8a5 (base 14) to base 5\nAnswer: -23323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 h when four letters picked without replacement from hghhhgghghhghhhghhg.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1324 = 3*q + m, -q + 3*q - 4*m = 906. Let g = 445 - q. Suppose 4*u - 28 = 2*u - 5*f, 2*f - 8 = 0. Solve -2*b - b + g = -u*y, 2*y = -5*b + 12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 5*s = -21, -2*o - 2*s + 12 = -6*s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/3)\/(532\/49 + -11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**5\/20 - x**2\/2 + 2*x. Let u = -223 + 221. Calculate c(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 not equal to 4071?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -0*f - 260. Let t = f + -37. Find s such that -s**5 + t*s**3 - 9*s**2 + 7*s**2 + 12*s**2 - 4*s**5 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 385895 and 2718340.\nAnswer: 3415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*c - 8178 = -18*c + 120*c + 150*c for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((3*sqrt(121)*-2 - sqrt(121)) + ((-1*(-2*sqrt(121) + sqrt(121)) - sqrt(121)) + sqrt(121) - sqrt(121)))\/(sqrt(1584) + -4*sqrt(1584)*-1 - sqrt(1584)).\nAnswer: -7*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -68*p**2 + 3*p + 3. Let s be y(-2). Is s\/(-7) + 4\/(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*1 - (2 + -3 + 1). Suppose -5*l + 20 = -r*s, -8 = -l - l. Suppose a + 5*a + 5*a = s. Solve a = 4*g - g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 302 - -101110103?\nAnswer: 101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 165 + -161. Let l(k) be the second derivative of 4*k - 1\/22*k**f - 20\/33*k**3 + 49\/165*k**6 + 4\/11*k**2 + 7\/11*k**5 + 0. Factor l(x).\nAnswer: 2*(x + 1)**2*(7*x - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -100250*b**2\/3 + 801952*b\/3 + 128 = 0.\nAnswer: -24\/50125, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/3)\/2 + 2. Suppose 2*z - 2 = l. Suppose -4*n = -5*v - 6*n + z, -4*v + 3*n = -20. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -159794*s + 1597902. Determine h(10).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 + -2 + -1 - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(114) + sqrt(114) + -5*3*sqrt(114))\/((sqrt(36) + (sqrt(36) - sqrt(576)*-2))\/((1*sqrt(72))\/sqrt(12))).\nAnswer: -8*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13, 31, 59, 97?\n\"Answer: 5*q**2 + 3*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/1732 - -138563\/5196. Suppose -3*v = 4*q - 111 + 10, -5*v = -q - 130. Let j = a - v. What is the third smallest value in 3\/5, j, -0.12?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/5)\/((-5)\/50). Let u be 10\/z*(-4)\/5. Find the second derivative of y + y - 4*y**2 + 2*y**u - y**2 wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 3 + -5 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 16*n + 11. Let d(b) = 8*b + 6. Let j(m) = -5*d(m) + 3*w(m). What are the prime factors of j(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 741315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 5*w = 1187 - 1132, 5*z + w - 30 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 718, 2874, 6468, 11500, 17970, 25878?\n\"Answer: 719*a**2 - a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -2.04.\nAnswer: 0.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - sqrt(99)*-2)\/sqrt(9) + sqrt(44)\/sqrt(4)*5.\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*v**3 - 52*v**3 - 3*v**2 + 3*v**2 - 25*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 j when two letters picked without replacement from {t: 10, j: 1, c: 4, n: 2, f: 2}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71137648*v**3 - 17546684*v**2?\nAnswer: -426825888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1803.5598294 + 1778.55983. Let n = 0.3 - -24.7. Let m = z + n. What is m rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhh when three letters picked without replacement from rryyrhrhyhrrrhhrh?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4429, -4433, -4433, -4429, -4421, -4409?\nAnswer: -4393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/8 - 83715\/(-30). What is the greatest common factor of 30 and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eavmea. What is prob of sequence vam?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49.601503 - 362.60163. Let d = o + 313. Round d to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, z: 2, n: 2}. Give prob of picking 1 z and 1 n.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -434, -840, -1246?\nAnswer: -1652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 422.7347us in milliseconds?\nAnswer: 0.4227347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -95, -73, -33, 31, 125, 255, 427?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 + 78. Solve 2 = d - i*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 5*b + 37 = 2*b, 0 = -2*d - 4*b - 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 245 and 30478.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00024505 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3874?\nAnswer: 2, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 5396*k + 5397*k + 32 = 0, -2*k + 2 = 0 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*n - 25703 = -26543 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 12, w: 1}. What is prob of sequence nnn?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 54, 57?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 12 = -4*z. Suppose 0*x = 4*x + 68. Let u = x + 219\/13. What is the closest to -0.1 in 2\/11, z, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -302, -471, -640?\n\"Answer: -169*p - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.113 - 0.287. Which is the smallest value? (a) 0.1 (b) 1\/8 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2213*b - 2204*b - 63 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 405, 403, 399, 393?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 (base 8) in base 13?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*b + 287*b - 42720 = 0 for b.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 11:08 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367857.\nAnswer: 3, 7, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a**2 + 4*a - 8. What is the units digit of z(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/76 and -69\/13343320?\nAnswer: 13343320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 89 + -84. Find the third derivative of -14*r**5 + 0*r**2 - 7*r**5 - 5*r**c + 33*r**2 wrt r.\nAnswer: -1560*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -634cc15?\nAnswer: 634cc11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/9 and 61\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3580091777.\nAnswer: 19, 761, 247603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + -30?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/26*(-2)\/(-2). Which is the third smallest value? (a) 9\/7 (b) -3\/8 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7669213 or -7669209?\nAnswer: -7669213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - 6 - (5 + -2). Let i = 20 + b. Solve -2*x - 4*h - 8 = 0, 3*x + h = -h - i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21905732689 minus 15.855?\nAnswer: -16.07405732689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -4, 10\/73, 3\/19?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {h: 1, m: 3, p: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 188670\/6080 + (4 + 27)*-1?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 - 119 = 2*x. Put x, 0, 4 in descending order.\nAnswer: x, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d. Let u(a) be the first derivative of -9*a**3 - 109. What is t(u(r))?\nAnswer: -108*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1834, 3669, 5494, 7303, 9090, 10849, 12574?\n\"Answer: -p**3 + p**2 + 1839*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 170755658 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -3, -14, -49, -120, -239, -418?\nAnswer: -669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + d + 17 = 0, n - 5*d = -0*n + 7. Let g(q) be the third derivative of 1\/3*q**3 - 1\/120*q**6 + 1\/24*q**4 + 0 - 1\/15*q**5 + 0*q + 4*q**2. Give g(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14253407.59 rounded to the nearest ten thousand?\nAnswer: 14250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -292, -0.3, 38 in ascending order.\nAnswer: -292, -0.3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15943 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -9425, 0.03 in descending order.\nAnswer: 22, 0.03, -9425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - r**3 + 3 + 4 + 6*r**3 + 9*r**3.\nAnswer: 14*r**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 83 and 332?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2127577719 and 0.092.\nAnswer: -2127577718.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v**6*w + 5*v**4*w**2 - 139*v**2*w**2 wrt v.\nAnswer: -120*v**3*w + 120*v*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*z + 61*z - 361 = -109 + 287 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(209) + sqrt(209)*1)*-5 - 4*sqrt(209)*2)*-6)\/(((1*sqrt(539) + sqrt(539))*-6 - sqrt(539)) + (sqrt(539) + (-1*sqrt(539) - sqrt(539)))*-6))**2.\nAnswer: 221616\/2401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5037303 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*x - 90 = 134. Let i(y) = y**3 + 8*y**2 + 4*y + 6. Determine i(x).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x + 2 + 3*x**2 - 2*x**2 + 0*x**2. Let d be m(-3). Solve 2*o + 1 + d = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2888 - 2888.4. Put 78, 1\/11, m in decreasing order.\nAnswer: 78, 1\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 16437211 and 16437190 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71864913.\nAnswer: 3, 31, 337, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -3, -2, -510, -5 in increasing order.\nAnswer: -510, -5, -3, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 1. Let z be 8\/4 + 1 + 0. Let r be b(z). Let c be -15 + 18 + (-2)\/r. Solve 4*f + c*h = 2*h + 16, -10 = 5*h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + -7.4. Let u = 7.08032 - 0.04132. Let k = r + u. What is k rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4188 * 13\nAnswer: 54444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (11 + (3 - 3))*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -275.6 + 269.6. Let r = -852\/3031 - 2\/433. Which is the fourth smallest value? (a) r (b) v (c) 1 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4940 divided by 1235?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -7\/731 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -8961637, 4, -7 in descending order.\nAnswer: 4, -7, -8961637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*i + 16*i + 50 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c**2 + 3*c**2 + 9*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1822167 (base 10) to base 6.\nAnswer: 103015543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2963236 is divided by 113966.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**17*((a**(-17)\/a)\/a)\/a assuming a is positive.\nAnswer: a**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 6*d**3 + 707*d**2 - 132*d - 84. Let m be i(-118). What is the greatest common divisor of m and 3724?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/10)\/((-10)\/(-50)) - 288\/(-56). Put 4\/11, -4, a, 3\/7 in decreasing order.\nAnswer: a, 3\/7, 4\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 4*f**2 + 3*f - 2. Let p be (20\/(-4) + -1)*(-1)\/2. What is m(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/18 and 133\/822213276?\nAnswer: 2466639828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12648 + -328931\/26. Find the common denominator of c and (147\/72*9)\/(3\/(-2)).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -528 = 137*r - 89*r. Let m(y) = -11*y**3 - 6*y**2 + 6*y. Let w(v) = 22*v**3 + 11*v**2 - 11*v. Determine r*m(i) - 6*w(i).\nAnswer: -11*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -967456\nAnswer: 290236.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49072, -196290, -441656, -785170, -1226832, -1766642?\nAnswer: -2404600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 - 2*x + 2*x)*(3 - 4 - 1) + (-44*x**2 - 134*x + 134*x)*(-3*x - 3*x + 5*x) - 1 + 1 + 2*x**3.\nAnswer: 48*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -1 + (4\/15)\/(74\/7215)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f**4\/12 + f**3\/3 - f**2 + 2*f. Let w(i) = i**3 - 5*i**2 - 4. Let k be w(5). What is b(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -515 (c) 71165 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q + 66*q - 384956 = 0. What are the prime factors of q?\nAnswer: 11, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/((-165)\/(-15))*(-1)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.061 + 0.806. Let k = 0.88 - o. Let q = k + -0.115. Which is smaller: 0.4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 20*b**2 + 17*b - 56. Give i(-21).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 0 - -5 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -96447 or 33?\nAnswer: -96447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -9277.853 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120, 235, 350?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/11 and -53\/17.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 412 divided by 103\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1034, 1\/312, -1\/2, -2\/7, 3\/11 in descending order.\nAnswer: 3\/11, 1\/312, -2\/7, -1\/2, -1034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19995 and 633671.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 573 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*v + 10 + 96 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*g**2 - 25*g**2 + 16*g**2 - 6)*(-3*g + 3*g + g**3) + (-5*g**4 + g**4 + 5*g**4)*(2*g + 1 - 1).\nAnswer: g**5 - 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1199 by -32.\nAnswer: 1199\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-5)*512\/(-2304))\/((-6)\/(-45))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122012 - -10?\nAnswer: -122002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*u - 143*u + 3 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2. Let o(l) = -l**2 + 175. Determine o(i(c)).\nAnswer: -4*c**4 + 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -46a1a2 (base 14) in base 13?\nAnswer: -6649a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11771 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 196720?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*d*h**3*i**2 + d*h**3*i + d*h**3 - d*h*i + 2*h**3*i**2 - 882*h*i + 2 wrt i.\nAnswer: 10*d*h**3 + 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 378, 1589, 3750, 6981, 11402, 17133?\nAnswer: 24294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.5268 - 1.8268. Which is the second biggest value? (a) k (b) 101 (c) 3 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -12. What is the tens digit of 51\/o - 8\/(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 35*r - 215. Let p be o(6). Sort -3, 499, p, 2 in descending order.\nAnswer: 499, 2, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/3569 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3991, 3964, 3937, 3910, 3883, 3856?\nAnswer: 3829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/49 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(28)\/sqrt(4)) + -1*sqrt(882))**2 - 2*(sqrt(2000)*2)\/(sqrt(10) - 1*(-2*sqrt(10) + sqrt(10))).\nAnswer: -20*sqrt(2) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 55240, 55230, 55206, 55162, 55092, 54990?\n\"Answer: -g**3 - g**2 + 55242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-21120)\/72)\/(-44))\/(2\/(-3))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4 - 40*f**3 - 146*f**2 + 184*f.\nAnswer: 2*f*(f - 23)*(f - 1)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2 = -6. Let n = 6 - 3. Let d be 1\/(3\/(n\/(-2))). Is g less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 + 2 - 2)*(-14*c + 11*c - 16*c)*(-2*c + 8*c - 25*c).\nAnswer: -1083*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3135641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 3*l + 101 - 326, 2*l = n + 235. Let m = n + 2081\/9. Let y(s) = -2*s + 6. Let d be y(4). Which is the third biggest value? (a) m (b) -8 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64691327, 64691324, 64691319, 64691312, 64691303?\nAnswer: 64691292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(405)*-2).\nAnswer: -sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*m + 19870 = 45462 + 37048. What is the greatest common divisor of 396 and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) - ((sqrt(5103) - (0 + sqrt(5103))) + sqrt(63))) + (sqrt(315)*2)\/sqrt(5) + -5.\nAnswer: -5 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158605.\nAnswer: 5, 31721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + 2.2. Let f = 2.1 - -0.3. Let p = f - b. What is the third smallest value in 0.1, 1\/6, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 290\/8333 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-5 - (-3 - -5 - 5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -24*f + 128. Let l be c(6). Let i(o) = -3*o - 5. Let m(a) = -10*a - 16. Calculate l*i(v) + 5*m(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 843, 1559, 2189, 2715, 3119, 3383, 3489?\n\"Answer: -3*m**3 - 25*m**2 + 812*m + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m + 2. Let n be t(-4). Suppose n - 1 = 3*w. Suppose 0*a + w*a = 36. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 2*v**2 - 7*v. Let m(i) be the third derivative of i**4\/24 + 14*i**2. Let u(q) = 21*m(q) + 3*n(q). Factor u(r).\nAnswer: -3*r**2*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/219 and 95\/438.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -498484\nAnswer: -99696.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-16)*(12\/7)\/1\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 61321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -9, -29, -57, -93?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126, -255, -386, -519, -654, -791, -930?\nAnswer: -1071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 33*a - 90. Let w(v) = -3*v + 9. Let h(z) = 2*r(z) + 21*w(z). Determine h(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 47\/2137 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -11895?\nAnswer: -11897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s - 19. Calculate y(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 592 = -4*p - 0*p, 0 = 2*p - 3*v + 276. Let d = -304 - p. What is the units digit of (6\/(-4))\/(16\/d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*f + 16, n - 2 = -1. Let c(s) = -s**3 + 5*s**2 - 2*s - 5. What is c(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13392778 by 2.\nAnswer: -6696389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.117765 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z - 4*z + 3*z)*(31 + 42 - 68) to the form n + k*z and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b4a6 - -10b0?\nAnswer: -3a3b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 5. Let s(h) = h - 2. Let y(j) = -5*s(j) + 2*u(j). Let m(z) = 4*z. Determine m(y(i)).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 51, -7, 334, -2\/3, 7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c32 (base 14) to base 8.\nAnswer: -32074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 27*c**2 - c + 32. Suppose -3 = -2*b + w + 46, 3*b = 3*w + 66. Let u be q(b). Suppose 1 = -2*t + 7. Solve -u*l - t = 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a factor of 2073782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/119 and 111\/56?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 336 and 877704?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -132130333 (base 4) in base 10?\nAnswer: -124735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2061332 (base 7) in base 9?\nAnswer: 421208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (378\/78)\/(21\/182). Calculate the highest common divisor of q and 6258.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 (base 12) in base 11?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 - 69615*r + 139244*r + 0*r**2 - 69629*r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*w + 196 = -200. Solve -20 = w*c - n, -c + 5*n = 8*n - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/3)\/((-2)\/(-21)). Suppose -5*o = -4*x + 14 + i, -5*x + 30 = 5*o. Let a = x + -3. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 7*o + 8. What is k(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-256)\/(-320) + 2\/10. Suppose 5*l - l - 8 = 0. Let k be g - (l + -3 + 6). Sort 8, k, -2.\nAnswer: k, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 + d + 86. Let q be g(0). Let z = -86 + q. Solve z = -c - 5*u + 23, -4*u + 25 - 6 = c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*z = -39*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c + 0*c = 2*c + 14528. Calculate the remainder when c is divided by 70.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -52*t**2. Let s(u) = -14*u**2 + 52. Let k(y) = 99*y**2 - 351. Let v(h) = 4*k(h) + 27*s(h). Determine v(o(j)).\nAnswer: 48672*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-4)*10\/(200\/76).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 239*c**6*w - c**4*w - 379*c**3 - 828155*c**2 - 3*w wrt c?\nAnswer: 28680*c**3*w - 24*c*w - 2274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((n**2 - n**2 - 2*n**2)*(-1 + 3 - 4) + n**2 - 5*n**2 + 3*n**2 - 2*n**2 - n**2 - 4*n**2)*(-2*n**2 - n**2 + 5*n**2) - 3*n**4 + n**4 + 6*n**4.\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12627 - 12626.9999997494. Round r to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217151911.137 minus 5?\nAnswer: 217151906.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285*y**2 + 285*y**2 - 1040*y**3.\nAnswer: -1040*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -12 in descending order.\nAnswer: 1, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3039421 + 20107\nAnswer: -3019314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-6))\/((-195)\/(-60))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3388*f + 13464*f**2 + 0 + 16\/7*f**4 + 2460\/7*f**3 = 0.\nAnswer: -77, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2008114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -78, -72, -64, -54?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 - 177*f**2 + 48*f**2 - 13*f + 87*f**2.\nAnswer: -42*f**2 - 13*f - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 7*t**2 - t - 2. Let c be r(-7). Suppose 3*x - 3*z - 144682 = -3534694, 0 = 3*x + c*z + 3389980. What is x rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-4) - (1 + -3). Suppose 239 - 2087 = 11*w. Let k be w\/720 + 6\/15. Sort -4, p, k, -0.5 in decreasing order.\nAnswer: k, p, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = w - 6*w + 8, -w - 10 = 5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2686\/18 - (-8)\/(-36). Suppose -2*i = 3 + 1, -5*m - 3*i = -f. Let h = 54 - m. Find the common denominator of 29\/6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.5 - 0.5. Let a = 2 - z. Suppose 0 = -2*k - p - 3, -2*k + p + 7 = 20. Sort a, 0, k in ascending order.\nAnswer: k, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d**2 + 9*d - 34. Calculate m(4).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -26. Suppose 0 = -2*z + m - 2. Solve -4*k - 2*r = -z*r - 14, 4*r - 1 = -3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 869 = 5*x, -4*r + 55*x - 59*x = -1756. What are the prime factors of r?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -9*u**3 - u. What is the smallest common multiple of 4 and z(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uuuuuuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**5\/60 + 7*f**4\/24 - f**3\/3 - f**2. Let x be c(6). Solve 3*b + b + x = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26\/15 - 4\/3. Factor 0 + 0*u - y*u**2.\nAnswer: -2*u**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -516 (b) 110 (c) 0.4 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 916645.7cm?\nAnswer: 9166457000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -999*n = -988*n + 55. Sort -7, -1, 1, -9, n in descending order.\nAnswer: 1, -1, n, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 11*i**2. Let j(y) = 3*y**2. Calculate u(j(c)).\nAnswer: 99*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 13) + (7 - 24 - (-3 + -1)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2222958037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.28842147 - 5223.\nAnswer: -5219.71157853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 10 = 3*o. Let k = -9018 + 9017.75. Put 4, o, k, 2\/3 in descending order.\nAnswer: 4, o, 2\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414*l + 541 - 127 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 813*p**4 + 2*p**3 + 2*p**2 + 16*p + 73?\nAnswer: 9756*p**2 + 12*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 265 and 318?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-3 - -2) + 2 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 7452*n**3 + 4222*n**3 + 3*n - 3573*n**3.\nAnswer: 8101*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4426.576 and 0.\nAnswer: 4426.576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.309 - 36.801. Let z = q + 39. Which is the second biggest value? (a) -0.5 (b) z (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7332322297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 8789 - 581. Let v = r + 82111\/30. What is the common denominator of v and 47\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2.13 (b) -2\/9 (c) 4\/7 (d) 0.3 (e) 1\/3 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 + 12*i - 3. Let z(j) = j**3 - 8*j**2 - j + 2. Suppose w + 8 = 2*w. Let g be z(w). Let x be f(g). Which is smaller: -9\/4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1913 or 1914?\nAnswer: 1914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2895*a**5\/4 - 609969*a**4\/2 - 2884047*a**3\/4 + 2189469*a**2 + 959079*a - 5028 = 0. What is a?\nAnswer: -419, -4, -2\/5, 1\/193, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -371 - -2591\/7. Let y = -5\/14 - q. Sort y, -1\/3, 0.1, 0.05.\nAnswer: -1\/3, 0.05, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5734977?\nAnswer: 3, 59, 32401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/120)\/(22\/56)*20\/(-35).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 424, 380, 334, 286, 236, 184, 130?\n\"Answer: -m**2 - 41*m + 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4417889 to the nearest integer?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 6:31 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o = -37 + 30 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 17*m + 75. Give u(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 divided by 104902.\nAnswer: -29\/52451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*49.\nAnswer: -3.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 * 0.01.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000581084 rounded to six dps?\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3106 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/8)\/(((y\/(y\/(y\/(y*y**0)))*y)\/y*y*y)\/y))**(-31)*((y*(y\/(((y*y**(-5))\/y)\/y)*y)\/y)\/y**9)**(-3\/23) assuming y is positive.\nAnswer: y**(7867\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 + 8*f**3 - 6*f**3 + 4*f**3 - f + f + (5 + f - 5)*(-f**2 + 3*f**2 - 4*f**2) + 2*f**2 - 2*f**2 + f**3 - f.\nAnswer: 4*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 9*t - 3. Let y be l(-8). Suppose 5*k = k + 8, -5*i + y*k = 710. Let s = -95 - i. What is s rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9, -21, -31, -39, -45, -49?\n\"Answer: q**2 - 15*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.4, 0.2, 53.\nAnswer: 0, 0.2, 0.4, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 0 + 1\/2*w**2 + 54*w = 0?\nAnswer: -108, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s + 3. Let f(v) = 3*v - 3. Let a(k) = 4*d(k) + 5*f(k). Let y be a(-8). Let q = 8 - y. Is 4 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1210068943 and 9358?\nAnswer: 4679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (-198 + 216 + (2 - 0)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0793 and -63659?\nAnswer: -5048.1587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190711*v + 316626*v + 1267596*v.\nAnswer: 1774933*v","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 162*y - 166*y - 4*c - 16, 4*y = 3*c - 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30 + 73041670?\nAnswer: 73041720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1062249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(180))**2 - (sqrt(45) - (0 + sqrt(45)*3)).\nAnswer: -900 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 250*r**2 - 8*r + 15. What is the thousands digit of l(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*p + 30*p + 4*p**2 + (4*p + 3*p - 6*p)*(-5 + 5 + 2*p).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-6\/11))**(-29)*b*b**(-4)*b*b*b**(-11)\/b*b assuming b is positive.\nAnswer: b**(-596\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 48736778 to the power of 1\/2, to the nearest integer?\nAnswer: 6981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**3 + 2*o**2 + 2*o. Let d(u) = 15*u**3 - 11*u**2 - 11*u + 1. Let q be 5 + -6 + (-1)\/1. Let h be (-9 + 5)*(-1)\/q. Determine h*d(b) - 11*g(b).\nAnswer: 3*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/4)\/(15\/(-20)). Let m(c) = 2*c**3 - 2*c**2 - 3*c + 3. Let a be m(p). Is 17 a factor of a*1*84\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -12*w**2 - 4 + 4 + 17*w**2. Suppose 5*o = -0*o. Let n(h) = -2 + o + 2*h + 2. Calculate c(n(k)).\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(216)*3)\/sqrt(4) + sqrt(54)))\/((1*sqrt(16)*6)\/(sqrt(1400)\/sqrt(7))).\nAnswer: -20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*c + 230 - 318 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56521.21ml in litres?\nAnswer: 56.52121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -35479c (base 13) in base 5?\nAnswer: -311014114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/4)\/(((-9)\/6)\/(-3)). Suppose 4*x - 269 = -2*m - 1, -3*x - 722 = -a*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33a867 (base 12) to base 3.\nAnswer: -1120000201121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 10. Suppose 0 = -4*k + 2 + 6. Suppose k*w - b = -3. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116016?\nAnswer: 2, 3, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/32)\/r)\/(r**(3\/25)\/r))\/(r**3)**(-5\/2) assuming r is positive.\nAnswer: r**(5879\/800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.0691 - -118.8791. Let l = -1.81 + j. Let h = 115.99999906 - l. What is h rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 17*k**2 + 17*k + 4. Give g(-18).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 127189 and -6.13321363?\nAnswer: 127195.13321363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 2. Let d be x(4). Suppose d = 2*v - 0. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/21*(-1 + (-28)\/8) - -19. Which is the second biggest value? (a) 0.5 (b) 0.22 (c) -3 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65708*522\nAnswer: 34299576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -6058, -4 in descending order.\nAnswer: -4, -8, -6058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a meter in centimeters?\nAnswer: 1180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.35 + -2.45. Let d = 1.9 - x. Which is the third biggest value? (a) 0 (b) d (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -259*a - 6911. What is i(-28)?\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8966 - -8963. Put u, 1, -9, 28, -6 in increasing order.\nAnswer: -9, -6, u, 1, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 9 = z. Suppose -z*u - 3*u + 30 = 0. Let y(w) = 3*w - 2. Calculate the remainder when u is divided by y(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 n, and 1 a when three letters picked without replacement from nxvvvaa?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/6 - -5) + 3. Let u(p) = -g*p + 18*p + 3 - 2*p - 9*p. What is u(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 2*m**2 + 0*m**4 - 2*m + 3*m**4 - 4*m**4 + 4*m**3 as h*m + n*m**4 + k*m**3 + c + q*m**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38018, -76020, -114008, -151976, -189918?\nAnswer: -227828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/97 in 2, -0.3, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.1? (a) -0.3 (b) 15 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-38)\/247 + 3356\/13. Calculate the remainder when (k\/8)\/((-7)\/(-28)) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1969\/5 + -394. Let h be (72\/(-16) + 5)*0. Which is the closest to h? (a) 36 (b) -1 (c) w (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -t**7\/14 - t**6\/5 + t**4\/2 + t**3\/2 + 4*t - 3. Let x(h) be the first derivative of v(h). Find f, given that x(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 1:20 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -102*d**3 + 18*d + 18. Let c(i) = 29*i**3 - 5*i - 5. Suppose -1 = v - 4*q, 2*v + 8*q = 7*q - 11. What is v*x(h) - 18*c(h)?\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -64*a. Let p(b) = 5*b**2 - 3*b - 3. Let g(n) = 24*n**2 - 14*n - 14. Let o(h) = 3*g(h) - 14*p(h). Calculate o(x(l)).\nAnswer: 8192*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 73*q + 170?\nAnswer: 73","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 10. What is the remainder when (1 + 1)\/2*19 is divided by j(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2221 (base 4) in base 12?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m - 8. Let k be a(2). Solve -k*i = z - 8, 0 = -4*z + 3*i + 2*i - 7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7921.49800071 + -7921.376. Let t = f - 0.122. Round t to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 1*(sqrt(832) - (sqrt(832) + (-1 + sqrt(832) - sqrt(832)) + sqrt(832))*-3)*-6)*-3)**2.\nAnswer: -96768*sqrt(13) + 13211136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 765 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x + 422451 - 422451 + 0*x**2 - 3*x**2 - 20*x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - f**2 - 6*f - 37. What is the remainder when u(-9) is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406581 is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -1\/7, -3, 2\/5, -1036, 1\/13?\nAnswer: -1036","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*w - 83*w + 35*w + 30*w + 6.\nAnswer: 14*w + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 7:12 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 50, 26, 5, -2 in descending order.\nAnswer: 50, 26, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*c**5 - 1495*c**2 + 1495*c**2 + 6*c**5 + 4*c**5 - c**5 + (-2*c + 2*c + c**3)*(-c**2 + c**2 - c**2).\nAnswer: -9*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152399 + 87453 - 398690 = -62*o. Is o a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uugum. Give prob of picking 1 g, 1 u, and 1 m.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 4*m - 3. Suppose 2*p = 2*r + 1 - 37, -p + 42 = m*r. Solve 4*n + q - 20 = 0, -3*n - q = q - r for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n + 3*n - 6*n**3 + (-n**3 + 4*n**3 - n**3)*(-4 + 1 + 4) - 5*n**3 + n**2 - n**2.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**2 - 2*i - 2. Let w be o(-1). Solve w*g + n - 4 = 0, 0*g + 2*n - 8 = -4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3444)\/(-70) + 6\/(-5) + 1. Suppose 6*o = 119 + y. Calculate the remainder when 54 is divided by o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -807 - -728. Which is the closest to -1? (a) -5\/4 (b) -1\/4 (c) 5 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 54*q - 1225. What is p(75)?\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 349436.397 to the nearest one hundred.\nAnswer: 349400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5738, 5797, 5954, 6257, 6754?\nAnswer: 7493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) 1\/3 (b) 2\/89 (c) -0.4 (d) 348\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 2:07 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 9 + 9 - 30 - 298*w.\nAnswer: -298*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -8*k**2 + 6*k**3 + 2 - 9*k + 63 - 5*k**3. Let h be o(8). Let s(x) = -1 - 2 - x**2 - 3*x**3 + 2*x**3 - 5*x**2 + 8*x. What is s(h)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2092236 is divided by 1074.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -17.535?\nAnswer: 70.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*n - 25, -3*n + 2*q + 27 + 11 = 0. Suppose 11*k + 27 = n*k. What is the remainder when 52 is divided by k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.202 times -81?\nAnswer: -2527.362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1768982 is divided by 21311?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**4\/12 - n**3 + n**2\/2 - 24*n + 2. Calculate i(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 11*j - 26. Let z be o(5). Suppose -z*p = 4*x - 84, 4*p + 0*p - 67 = -3*x. Let s(l) = 2*l**2 - 30*l + 4. List the prime factors of s(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -313?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 2. Let r be q(-3). Suppose r*i + 29 = f, -4*f + i + 21 = -0*i. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (4 - (-15 - -7))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x - 7. Let i be r(-5). Suppose -6*y - 4 + 12 + 4 = 0. Solve -6 = -2*c - y*q, 0*c - 3*q + i = 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1160*d - 1137*d - 552 = 0. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 100 = -x. Let o be (-3)\/4 + x\/(-48). Which is smaller: -2 or o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**3 - 2*p**2 + p - 2. Let c be h(4). Let f be 4\/((-40)\/c)*(-5 - -6). Which is bigger: f or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47277 and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 13*s - s**3 - 2*s**4 + 10*s - 20*s to the form k*s**4 + m*s**3 + p*s + d*s**2 + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*r + 45*r - 186*r + 43*r + 51*r + 1475.\nAnswer: 2*r + 1475","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 18*l - 477. Let o be h(28). Solve 72*q = 63*q - o for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 45.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 45\/2 of a kilometer?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 + -95. Suppose 16*a + 689 = -22*a - 451. Let z = a - p. Solve m + z = 3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29.67 - 29.17. What is the closest to -0.1516 in u, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 217911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32957343 a multiple of 2109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -1823*u - 22. Let n(j) = -3644*j - 43. Let p(i) = 11*l(i) - 6*n(i). Is p(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**(-1\/6)*t**(1\/2)*(t*t**(2\/23))\/t assuming t is positive.\nAnswer: t**(29\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7769219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, h: 2, k: 10}. What is prob of picking 2 s and 1 h?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/3487 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4668 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10812 and 1060?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**2 - 3 - 15049*i + 3 + 2*i**2 + 2.\nAnswer: -3*i**2 - 15049*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.4 - -1.84.\nAnswer: 4.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 27*-0.306\nAnswer: -8.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*c**5 - 5940*c**4 + 52887*c**3 - 6570*c**2 - 32172*c - 8280 = 0.\nAnswer: -2\/5, 1, 10, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3976, 7952, 11928?\nAnswer: 15904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 451 + -443. Solve 0*b + 2*b - s = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.73618 and 22.1?\nAnswer: 22.83618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 7*r**2 + 9*r + 3. Calculate the remainder when 54 is divided by o(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2770*o + 58172. Let d be x(21). Let z be 1\/(-2) + 22\/4. Solve -d*t + 7*t = z*k - 25, -2*t - 2*k = -6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 9*i**2 - 13*i + 55. What is k(7)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-15)\/15)\/((765\/175)\/51)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/3*-12 - -6. Suppose 24*i = l*i + 154. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s + 12. Let j be m(5). Let n be (-2)\/(-8) + (-60)\/(-16). Let w be -2 + (1 - (2 - n)). Is j >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/2 - (-10534 - -10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3393*w. Let l(s) = 226*s. Give -6*b(n) + 91*l(n).\nAnswer: 208*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001100 - -101010000001011?\nAnswer: 101001000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -127712585 divided by -87295?\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 66*f + 599. Let w be k(11). Let l = -6 - -5. Is l > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 430 + -429.7. Let g = -0.34 - 0.06. What is the second smallest value in g, -0.8, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 166 - 14. Suppose -2*y + g - 34 = 0. Suppose 2*v - 5*u = -0*v + 25, 4*v = u + y. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1618076*v**2 - 3*v - 155656 wrt v.\nAnswer: 3236152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (-50)\/(-450) - 1\/(-9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35928?\nAnswer: 2, 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3685, 3688, 3691, 3694, 3697?\nAnswer: 3700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 394, 401, 412, 427, 446, 469?\nAnswer: 496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -i + 28, 0*i + i + 3*d - 28 = 0. Let k = 33 - i. Find the third derivative of -7*a**5 - 3*a**5 - 8*a**k + 3*a**2 wrt a.\nAnswer: -1080*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 11000000100?\nAnswer: 11000000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 6545?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4491625231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 49*m**2 + 260*m - 83. Let n be u(43). Suppose 40 = 3*h + h. What is the third derivative of 21 - 31 + 40*c**n + 10*c**2 + h wrt c?\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21777763 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -11890*n + 6. Let s be h(-1). Let m = 1131 + s. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 670129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 9*t**2 + 8*t + 10. Let b be w(8). Let u be b\/(-4)*(-6)\/5. Suppose -18 = -u*y - 3*j + 18, 69 = 5*y + 2*j. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1831943 * 0.2.\nAnswer: -366388.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3779878 is divided by 120?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 + 3*m**2 + m. Suppose -t = f, f + 7 - 2 = 4*t. Let g(k) = -k**3 + k**2. Calculate t*x(q) - 3*g(q).\nAnswer: q**3 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -3 (b) 2.5 (c) 0 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**2\/9 - 29140*o\/9 + 29146\/3 = 0?\nAnswer: -14573, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 + r**2 + 1. Let s(f) = 4*f**5 - 80*f**4 - 182*f**3 + 79*f**2 + 176*f - 1. Let z(x) = -d(x) - s(x). Find h such that z(h) = 0.\nAnswer: -2, -1, 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -189902 + -0.0517\nAnswer: -189902.0517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -3)\/((-1)\/(-5)). Suppose -3*y + 24 = -s + m*s, 27 = 3*y + 5*s. Let b = 8 + -4. Solve 0*d = 3*d + y*r - 1, d - 11 = -b*r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(80))*-1 + 3*(sqrt(80)*-2 - sqrt(80))**2.\nAnswer: -4*sqrt(5) + 2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1100 + -1261.2. Let i = x - -161. Which is the third smallest value? (a) i (b) -1\/6 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104203770647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -20382\nAnswer: -2038.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 891 divide 324613378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -25482 (base 9) to base 14\nAnswer: -6381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, i: 2, s: 5, v: 1, w: 2}. What is prob of sequence we?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3481 is divided by 134?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1322134 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69*144\/(-44712)*99\/1.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39 + -32 + (-803)\/110)\/(3\/(-90)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 13*o**2 + 15*o - 8. Calculate l(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*v**(2\/19)))\/(v*v*v*v*v**(2\/13))*(v**0)**(-3\/8) assuming v is positive.\nAnswer: v**(-805\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 267340 = -5*n, 3*s + 15 = -0*s. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 68123709?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*g - 1217 - 1163 = 0 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 93 and 5?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -8. Let i(f) = -4*f + 14. Let s(b) = -b + 5. Let x(u) = -3*i(u) + 8*s(u). Is x(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4408 and 10.\nAnswer: 22040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y + 6 = 24*y. Put -4, y, -1, 0 in decreasing order.\nAnswer: y, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 3313*v + 13 = -3312*v, -4*j = 3*v + 18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -39592.\nAnswer: -197960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*w = -14, z + w = 2*w - 1. Suppose -3*a - 1 = z. Let d(g) = -8*g**3 + g**2. What is d(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 0. Let l = -21 + 23.4. Let o = -2.8 + l. Which is the nearest to z? (a) o (b) -0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7530 divided by 6?\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -493\/4 + 124. Is h < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 1. Let y(z) be the first derivative of -z**2\/2 + 4*z + 9. Suppose -6*v = -v + 5. Give v*y(w) + 5*o(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.9 - -37.1. Let o = 43.7 - t. Round o to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97 - -97.2076. Let b = -0.204 + l. Round b to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - -223354352?\nAnswer: 223354340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22582092 to the nearest integer?\nAnswer: 4752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 0) + 78\/(-9). Let u = w + 10. Sort u, 1\/4, -4.\nAnswer: -4, u, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2656, -5312, -7968, -10624?\nAnswer: -13280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 3*p + 4*p - 2*p + 5*p - p - p + 2*p + 2*p - 2*p + 0*p + p + (-2 + 1 + 3)*(-3*p - 3*p + 4*p) + 0*p + 2*p - 3*p)*(3 - p - 3).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v + 28*v**3 + 6*v**4 - 28*v**3 wrt v?\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.07 + -0.07. Let q = 3 - g. Let i = 3 - q. Which is the second biggest value? (a) -5 (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15308*z**5 + 3*z + 9803 wrt z.\nAnswer: 306160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 444426941 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**30\/z*z**4)\/(z**(3\/7)*z*(z\/(z*z**(-18)))\/z*z) assuming z is positive.\nAnswer: z**(95\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z + 24*z + 6*z.\nAnswer: 22*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24659001 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 19, 1\/4, -82, 1\/63, 5?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 917027.6 tonnes to micrograms.\nAnswer: 917027600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/24 + (-25)\/100 and 19\/22.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h - 9*h = 0. Suppose h + 2159*b - 2163*b - 276*b**2 + 0 - 4761*b**3 = 0. What is b?\nAnswer: -2\/69, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 15*j - 31. Let v be d(23). What is the third biggest value in 2, -4, 0.3, v, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 - 4*q**2 - 1. Let c = -2 + 6. Let j(r) = 3*r + 23. Let d be j(-6). Let v(u) = -2*u**3 + 5*u**2 + 2. Calculate c*v(p) + d*a(p).\nAnswer: 2*p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 7*g + 1131 = 0. Let d = g + -75. Suppose -3*i + d = 3, b - 7 = -i. Solve 4*s = 3*s - b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w - 906266 = -99*w - 900424 for w.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-725999996)\/(-6) + -2 + 56\/21. What is q rounded to the nearest one million?\nAnswer: 121000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11804838 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.9903142 milligrams?\nAnswer: 0.0000000009903142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 97.3 + -112. Let w = p + 15. Let z be 910\/231 + (-1)\/((-1)\/(-4)). What is the third biggest value in z, w, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -1. Let d(f) = -1. Let k(w) = -3*d(w) + 2*s(w). Let z(o) = -2*o + 5. Let t(y) = 6*k(y) - z(y). Let q(m) = 2*m + 1. What is 2*q(r) - 3*t(r)?\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 6. Suppose -j - 4 = -d, 20 + 2 = 5*d - 3*j. Which is the nearest to 2\/3? (a) -3\/2 (b) x (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 8*w**2 + 13*w - 2. Let f(m) = -m**3 + 7*m**2 - 2*m + 20. Let y be f(7). Let q be l(y). Solve 0 = -2*g + q*g + 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**4 - g**3 + g**2. Let p(v) = -21*v**4 + 6*v**3 - 6*v**2 + 148. Let f = 166 - 165. Let o(q) = f*p(q) + 6*s(q). Differentiate o(j) with respect to j.\nAnswer: -60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*u - 4 - 48, 19 = x + u. Let k = 60 - 90. Let j = k + x. Round j to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 95463 = -5442 - 18105. What is the remainder when g is divided by 100?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -1 - (-3 - (3 - 4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55198335797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 99\/(-18)*2*1. Let q(x) = 18*x + 17. Let s be q(-1). Is s >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 2 = 5*g - 0*g, -3*g + 6 = 3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 105932722 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 17536143535+63\nAnswer: 17536143598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 + -70. Let k = -33 - p. Which is the nearest to -1? (a) k (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v**3 - 13*v**2 + 5*v + 11. Let o be a(9). Suppose 0 = -7*y - 548 + o. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhuhuuuuhuhh. Give prob of sequence uuhh.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -253\/2163 - 8\/309. Which is the second smallest value? (a) i (b) 0.1 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*o**3 + 0*o + 0*o - 13*o**2 + 9*o**3 wrt o.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 5:13 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -20. Suppose -t*f + 4*d + 154 = -4*f, -4*f = -4*d - 288. Is f a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (459486\/67)\/54 - 80?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 99245 - 63366. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -254342664.67 and -0.007.\nAnswer: -254342664.677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11762\/29405)\/(52\/80 + (-1)\/(-2)).\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -24.7. What is the closest to -0.1 in -0.4, n, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/48 and -77\/1934802.\nAnswer: 15478416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 3*f + 2. Determine r(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 2*k + 41. Let x be f(0). Let z = x - 49. Let a(n) = -n**3 - 8*n**2 - 3*n - 19. Let q be a(z). Solve -q*b = 5*h - 2*h - 5, 2*b - 13 = h for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 less than -0.0347051228878?\nAnswer: 0.0052948771122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wepve. Give prob of picking 1 p and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggvvkdrrvvdrvrkvvvr. Give prob of sequence rgdv.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 313a8 (base 11) to base 5\nAnswer: 2430420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -484 - 6.\nAnswer: -490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, -3, -4\/5, -46?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -162, -324, -546?\nAnswer: -828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 2\/17, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 336 + -159. Let q = 85 + y. Find the common denominator of (-2)\/(-8) - q\/(-24) and 111\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3099893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6559464287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4722\/15431 - 2\/1187. Suppose 10 = -x + 2*u, u - 8 + 3 = 2*x. Which is greater: q or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.156 and 12?\nAnswer: 12.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/7 + 2283*f\/7 + 103716\/7.\nAnswer: -3*(f - 804)*(f + 43)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8524200?\nAnswer: 2, 3, 5, 14207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7}. Give prob of picking 2 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100110 - -100000101?\nAnswer: 101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 1\/60*z**5 + 0*z**3 + 0*z**4 + 18*z**2 + 0 + 0*z. Let m(n) = -9*n**2 + 3*n. Determine x(m(d)).\nAnswer: 81*d**4 - 54*d**3 + 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 3927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*r + 17*r - 40*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3\/3 + 1640*h**2 - 10416500*h + 23562374000\/3.\nAnswer: 4*(h - 1255)**2*(h + 3740)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.10001 * 0.077.\nAnswer: 0.00770077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -291 + 342. Suppose x*c + 62 = 20*c. Sort c, -6, 2, -1 in decreasing order.\nAnswer: 2, -1, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-111 + 103 - ((-2 - 1) + -1))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = 59 - 302. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 smaller than 3712\/347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.12282982 rounded to two dps?\nAnswer: -2.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s + 39470470 = 7339870. Round s to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 76 + 0*q**2 - 110*q + 13\/3*q**3. What is the derivative of d(b) wrt b?\nAnswer: 26*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 7*t + 3. Let y be c(-6). What is the nearest to 0.3 in -5, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3172400 divided by -1100?\nAnswer: 2884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at least as big as 3332\/195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 26. Put 5, l, 0 in increasing order.\nAnswer: l, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 471*i**2 + 2 + 793*i**2 - 358*i**2 to the form w*i + u*i**2 + n and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -936 - -977. What is the remainder when 4054 is divided by b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m**2 - 1215*m + 29. Let j(k) = k**2 - 246*k + 5. Calculate 11*j(n) - 2*q(n).\nAnswer: n**2 - 276*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 + 17*l**3 + 0*l**2 - 21*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 - 36.7. What is h rounded to zero decimal places?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 578 is divided by 92?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2179 - -1447. Calculate the remainder when ((y\/3)\/(-4))\/((-4)\/(-12)) is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -459 (base 15) in base 7?\nAnswer: -2604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 32755600 + -4.66\nAnswer: 32755595.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -5*m**3\/3 - 20*m**2 - 75*m + 6. Factor u(o).\nAnswer: -5*(o + 3)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00304 rounded to 4 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 5*c**2 + 3*c + 1. Let r be w(-4). Put 4, r, -5 in increasing order.\nAnswer: -5, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 11 = -b, 0*j = -3*j + 2*b - 23 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -13. Suppose 2*f + 21 = j*f. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17813*t - 23751 = 18016*t for t.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 73979146?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -11*v**3\/6 - 863*v - 1. Let n(h) = -2*h. Let d(f) = -4*f. Let r(o) = 6*d(o) - 15*n(o). Give 4*b(a) + 7*r(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/(-25))\/3*-5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*t + 134*t + 1 - 42*t**2 + 1 - 56*t**2 + 50*t**2.\nAnswer: -48*t**2 + 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 877 = 5*b - 1388, -x + 2253 = 5*b. What are the prime factors of b?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 7*j = 3*j + 6, z = 4*j - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 101 + -89. Let p(l) = -7*l**3 - 7*l + 4*l**3 - 9*l**2 - a + 10 + 2*l**3. Give p(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 35*m**2 - 33*m - 37. What is h(34)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 161*a + 63. Let f(d) = -10*d - 4. Let y(v) = 3*c(v) + 49*f(v). Differentiate y(i) with respect to i.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8*(-100)\/(-2)*-317500. Suppose -5*h - 101600000 = -4*a, 2*a = 7*a - h - c. What is a rounded to the nearest one million?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005852513584 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 24349160 to the nearest one million.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**6\/20 + o**4\/12 + o**3\/6 - 8*o**2 + 14*o. Let k(q) be the first derivative of t(q). Suppose -5 + 4 = b. What is k(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 7. Let r be q(5). Let i(w) = w**2 - 146 + 76 + 79 - r*w. Suppose 3*b = 5*s - 55, 6*s - 8*s + 2*b = -22. What is i(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-14)*(3 + 3 + -12)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.04 + -0.04. Let c = -2 + x. Let b = -0.5 + c. Sort -5, b, -3\/2 in decreasing order.\nAnswer: b, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 3 = -2*g + 4*k, -3*k = -4*g + 7. Solve -u = -g*u - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 19*n + 3. Let v be f(0). Let l(h) = -h - 15. Let o be l(-12). Sort -5, o, v, -4 in decreasing order.\nAnswer: v, o, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*f + 0*f + 0*f)*(f + 2*f - 4*f)*(2 - 2 - 3*f) in the form d*f**3 + u*f**2 + v*f + w and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 133\/5*(-14)\/(-4851)*495?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-23230)\/(-644) - 36)\/(12\/(-14)). What is the second biggest value in m, 0.51, 0.3, 21?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 0, -26, -74, -150, -260?\nAnswer: -410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 41. Solve 0 = 4*k - d*k + 3*p - 2, 2*k + 15 = -5*p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84650 divided by -5\nAnswer: 16930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.99 + 0.01. Let u = 0 + 16. Let l = u + -11. Which is the third biggest value? (a) f (b) 0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 6*m**2 + 3*m + 3. What is w(-6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((-704)\/(-8))*-1?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51*0.03.\nAnswer: -1.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -7. Let u(s) = s**3 + 3*s**2 - 2*s - 4. Let t be u(f). Let b = -599 - -599. Solve 2*a - t*z + 8 = b, 12 = a - 2*a + 5*z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.393 * 5\nAnswer: -1.965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 45233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.027, 0.02, -10, 3.85, 1 in descending order.\nAnswer: 3.85, 1, 0.02, 0, -0.027, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20189 + 3890?\nAnswer: 23a69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7275, -14544, -21817, -29094?\n\"Answer: -2*n**2 - 7263*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.86 - -1. Let c = 0.36 + k. What is c rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/39 and 6\/13.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 + 42.6. Let d = -313\/4 - -80. Let y = -1\/4 + 1\/8. What is the fourth biggest value in -2, d, y, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -1 - 4 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 409*n**3 - 7*n + 7. Let f(y) = -17*y + 18. Let a be f(1). Is j(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -1134.3 (c) 112\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 600\/(8\/(-12) - 0). Round a to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -8*x - 19. Let y(z) = -2. Give h(j) - 4*y(j).\nAnswer: -8*j - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34636, 5, 1, -2, -5, 3 in increasing order.\nAnswer: -34636, -5, -2, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q + 6*q - 9 = 489*a - 487*a, -3*a - 6 = 6*q for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**5 + 4*n**4 + 14*n**3 + 4*n**2 - 3*n = 0.\nAnswer: -1, 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * 2.87\nAnswer: -0.0287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 - 157. Let g = 79.4 + l. Let j = -11 - g. Put j, 3\/2, -4 in decreasing order.\nAnswer: 3\/2, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 358882640?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -275261*v**5 - 1461*v**4 + 13342*v**2 - 16*v + 3?\nAnswer: -16515660*v**2 - 35064*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*x**5 - 341989*x**2 + 785650*x?\nAnswer: 140*x**3 - 683978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -6507*p + 862. What is the tens digit of j(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5\/2 + 1433*u**4\/2 + 19915*u**3\/2 + 69531*u**2\/2.\nAnswer: u**2*(u + 7)**2*(u + 1419)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 82*p**2 + 165*p + 281. Let u be l(84). Solve 9 = -d + 2*k, -4*d + 3*k - u = -8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 410 - 2*x**2 - 136 + 34*x - 2*x**4 - 217 to p*x**3 + d + h*x**4 + o*x + r*x**2 and give o.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2 = 2*c + 4, -4*r + c + 1 = 0. Suppose -s + 0*d + 4*d + 15 = r, -5*d = -2*s + 33. List the prime factors of s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -81*c**2 - 3*c - 6. Let o(a) = -27*a**2 - a - 2. What is -7*o(n) + 2*v(n)?\nAnswer: 27*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -620 - -362. Let p = o - -337. List the prime factors of p.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 20\/8147 (b) 0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*z + 3. Let v(f) be the second derivative of -f**5\/20 + f**4\/4 + 2*f**3\/3 + 2*f**2 + f. List the prime factors of v(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, z: 6}. Give prob of picking 3 o.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1846883\/52962 - 907\/26. Let q = 904\/7857 + -16\/81. Let w = s + q. Put -1\/7, 4, w in increasing order.\nAnswer: -1\/7, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 575344112 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(1\/2))**(3\/5)\/(q**6\/((q*q*q**(-4\/5))\/q)))\/(((q*q**(-2))\/q)\/q*q\/(q**(3\/5)*q)*q\/(q*q\/(q**1\/q))*q*q**(1\/9)) assuming q is positive.\nAnswer: q**(-127\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63830240.\nAnswer: 2, 5, 17, 31, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*a - 114*a**2 - a - 109*a**2 + 221*a**2 + 59*a as k*a**2 + j + r*a and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 585 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s - 3. Let a be j(-3). Let k = -131 + 210. Suppose a*c = 2*c + k. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 14?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/6 - 7*i**3\/6 - i**2\/6 + 7*i\/6.\nAnswer: i*(i - 7)*(i - 1)*(i + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z + 31*z - 15*z)*(-653 + 15 - 283 - 345 - 263).\nAnswer: -33638*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-13)*(z*z\/z**11)\/z)\/(z**12\/z**(-3\/7)))**(-1\/11) assuming z is positive.\nAnswer: z**(241\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 1. Let i = 39 - 41. Let q(k) = -2*k + 1. Determine i*q(u) - 3*h(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -111?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 14*f**2 - f + 1. Let y be 0 + 2 + 0 + -1. Let k be z(y). What is the remainder when 34 is divided by (7\/(k\/36))\/1?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4456 - 4457. Sort c, 815, 0 in decreasing order.\nAnswer: 815, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, l: 11}. What is prob of picking 1 l and 1 d?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -96 + 210. Is 19 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 1:28 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (3 - 6) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-99)*(28\/(-203))\/2?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 239.9893 - 20.12321. Let g = j + -220.13609334. Let f = -0.27 - g. What is f rounded to seven decimal places?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5867*h**6 + 3*h**5 + 3*h**4 - 32*h**2 - 2*h - 587 wrt h?\nAnswer: 704040*h**3 + 180*h**2 + 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 20*p**3 + 17*p**2 + 17. Let b(f) be the first derivative of -4 + 6*f + 2*f**3 + 7\/4*f**4 + 0*f**2. What is -17*b(r) + 6*n(r)?\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8221983 and 165?\nAnswer: 41109915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 - d**2 + d**2 + (2*d - d + d)*(251*d + 250*d - 312*d).\nAnswer: 377*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2, 4\/4967, -0.1, -1\/5, -4?\nAnswer: 4\/4967","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/24)\/(-5*(-6)\/(-24)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -6. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/10)*g\/g**(2\/5))**26 assuming g is positive.\nAnswer: g**(91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 7*n. Suppose 2 = -2*j - n. Do j and -1\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, t: 2}. Give prob of picking 2 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -20754314 divided by 6293?\nAnswer: -3298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 213 or 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 5*x = 4, -76*d + 79*d + 5*x = 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 3*z + 62. Let s be t(-9). Let c be 6\/4*s\/(-36). Which is smaller: 66 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 112\/14109 or 0?\nAnswer: 112\/14109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753458.\nAnswer: 2, 376729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5079, -10620, -16623, -23088, -30015?\n\"Answer: -231*g**2 - 4848*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 4279?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 30647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -134*q - 1145 + 406 - 1003 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*o**2 - 5)*(-2*o**3 - o**3 + 2*o**3) + (-3 - 2*o**2 + 3)*(-2*o**3 + 0*o**3 + 4*o**3) - 3*o**5 + o**5 + 3*o**5.\nAnswer: -o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3906268 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -9*v - 28. Let c be y(-4). Suppose r = -c*r - 9. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 < -2\/909?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -29990 + -25\nAnswer: -30015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16141064.\nAnswer: 2, 1171, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1233105786 rounded to the nearest one million?\nAnswer: -1233000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -61, 2, 5, 25, -8, 0 in decreasing order.\nAnswer: 32, 25, 5, 2, 0, -8, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -30, 4, -1 in ascending order.\nAnswer: -30, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15285941 to the power of 1\/3, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + c**2 - c. Let p(d) = -7*d**3 + 7*d**2 - 6*d + 4. Let u(y) = -6*b(y) + p(y). What is the tens digit of u(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/272 and (-13608)\/952*(3 - (-142)\/(-48))?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-3 - -2 - -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 5 + -42 + 45?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37946058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqf when three letters picked without replacement from aqaaqqhgawaf.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 1365*g**2 + 11*g + 3. Let n(a) = -4094*a**2 - 36*a - 10. What is 20*b(q) + 6*n(q)?\nAnswer: 2736*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/136 and -89\/28.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(700) + 0 + -1 - (3 + 3 + sqrt(700)))*-5)**2.\nAnswer: 44100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/1 + 6\/3. Suppose 0 = -2*z + 5*j + 36, 2*z - j = -k*j + 8. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 + -10 + 4 + (13 + -17 - -1)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oz when two letters picked without replacement from {t: 6, q: 6, o: 1, f: 2, c: 2, z: 1}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/28 and 25\/88684.\nAnswer: 620788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 408*h**2 + 803*h - 6967. Let w be d(-410). Let 0 - 7\/3*o**2 - 2\/9*o + 11\/9*o**w = 0. What is o?\nAnswer: -1\/11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/1)\/(2 - 5 - -4). Which is bigger: 4\/311 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 3*z**2 + 8*z. Let x be o(-6). Suppose -3*g + x + 72 = 0. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4740 and 120?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1152539.858954 and 30.1.\nAnswer: 1152569.958954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xlxxxxxxxlxxlxx. Give prob of sequence xllx.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10369 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 0) + 8\/8. Suppose 0 = y + 4*u - 15 + 117, v*u - 444 = 5*y. Let j = y - -181. What are the prime factors of j?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 3 (c) 58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 4*w**2 - 5*w)*(w**3 - 5*w**3 + 2*w**3) - 4*w**5 - w**5 + 3*w**5.\nAnswer: 6*w**5 + 10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppiijjjjiji. Give prob of picking 3 j and 1 p.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 634*v + 18 + 640*v - 1281*v. Suppose 0*i + 16 = 4*i. What is the remainder when i is divided by p(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3574733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, p: 13}. What is prob of picking 4 p?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 72684.92um?\nAnswer: 72684920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.238 - -0.238. Which is the closest to k? (a) 1 (b) -1\/3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22448.47 - 22304. Let c = l - -38.23. What is c rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 6:22 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23501447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -50607\nAnswer: 8\/50607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 692833 + -422178. Suppose -z = 8*x + 39745. Round x to the nearest 1000.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1618952 and 684?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32131\/18 + 1786. Let y = 328 - 679\/2. Calculate the common denominator of s and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 1, k: 2, o: 3, l: 2, r: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -364242 divided by -10713\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -7*t**3 + 90*t**2 - 15*t + 5. Let i(a) = 6*a**3 - 91*a**2 + 12*a - 4. Calculate 4*b(p) + 5*i(p).\nAnswer: 2*p**3 - 95*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-2 - (-40)\/5) + (-11 - -16) and 400.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2277 and 484242.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1762\/11 + 160. Which is the closest to -0.1? (a) 5 (b) 2\/11 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**2 + 2*l + 1. Let c(a) be the first derivative of -2*a**3\/3 + a**2\/2 + a - 11501. Give 4*c(p) - 3*d(p).\nAnswer: p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51495 + -17271. Is 138 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/51*18\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 767?\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 136761 to the power of 1\/2, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: What are the prime factors of 21650?\nAnswer: 2, 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 8\/5 (b) 0.1 (c) -0.06 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 125*d**2 - 1162. Let o(t) = -2*t. Determine y(o(a)).\nAnswer: 500*a**2 - 1162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -16153.67?\nAnswer: -96922.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/2 + 135787*i**2\/2 - 2304729724*i - 2304797618.\nAnswer: -(i - 67894)**2*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34038595769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303931 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1.7721853 times -0.013\nAnswer: 0.0230384089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-8))\/((-3)\/4*(-536)\/(-201))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 - 5*o**2 - o**2)*(o - 1 + 1 + (-1 - 1 + 1)*(-3*o - 2*o + 3*o)).\nAnswer: -21*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4 - 0)\/4 + 57?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2. Let z(v) = -117*v**2 - 13*v - 26. Let h(s) = -29*s**2 - 3*s - 6. Let r(n) = -26*h(n) + 6*z(n). Give o(r(b)).\nAnswer: 5408*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46557, -51237, -59021, -69897, -83853, -100877, -120957, -144081?\nAnswer: -170237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 390 and 48?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**3 - 213*b + 213. Calculate c(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z + 104. Let w be g(-35). Let k(f) = 4*f**2 + 11*f + 16. Let s(a) = -a**2 - 2. Let x(l) = w*k(l) - 5*s(l). Determine x(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z. Suppose -2*i - 30 = -5*h, 2*h - 30 = 4*i + 7*h. Let u = i - -6. Let r(t) = t. Give u*r(n) + f(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and 5.6?\nAnswer: 106.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1404 and 2964?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 32, 2, 29 in decreasing order.\nAnswer: 32, 29, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l - 42. Let f be r(8). What is the units digit of 2\/(-2)*f + (-51 - -200)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18477024 divided by -2931.\nAnswer: 6304","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -5*p + 15, -6*i - 15 = -7*i - 5*p. Let t(x) = -x**2 - 5*x + 1. Let g be t(i). Which is the smallest value? (a) 20.3 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -1865*v**3 - 9*v**2 + 5*v + 5. Let b(w) = 2*w**3 - 3*w**2 + w + 1. What is -3*b(j) + d(j)?\nAnswer: -1871*j**3 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.35 + 1.2. Let r = i - -0.136. What is r rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**5 + 1088*l**4 + 168212*l**3 + 737296*l**2 - 1071681254*l + 1070774656 = 0.\nAnswer: -203, 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*v**2 + 36*v**2 - 176*v**2)*(-v**2 + 0 + 0) in the form w*v**2 + k + g*v + x*v**3 + n*v**4 and give n.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 100100 (base 2) to base 10\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79250 is divided by 138.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 9*u - 1101. Determine r(38).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 183 and -568388?\nAnswer: 568571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 3*o + 15, -13*o - 991*x = -928*x - 35 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -83, -84?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**4\/12 - w**3\/3 + w**2. Let z be s(-2). Suppose v + 5*c = -3*v + 14, -8 = -z*v - 2*c. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/19, 2, 1\/5, -16.01, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a. Let z = -2 - -2. Suppose -2*i - 2 = t - 0*t, z = -5*t - 5*i. Let v(s) = 5*s - 4*s - t*s. Determine g(v(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3411211997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4*b)**(-1\/29)\/(b**(-29\/2)\/((b\/b**(-31))\/b)) assuming b is positive.\nAnswer: b**(2629\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.2, -0.12, 1?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 48\/(-119) - (-4)\/14. Let h be 60\/33 + 9\/(-3) - -1. Which is the closest to 0.5? (a) j (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*w**3 - 3*w**3 - 3*w**3)*(20*w + 24*w + 2*w) - 3*w**4 + 0*w**4 + w**4 as t + j*w**3 + o*w**2 + q*w**4 + c*w and give q.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**3\/5 + 16436*t**2\/5 + 131374*t\/5 + 22988 = 0.\nAnswer: -8210, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -19*t. Let i(y) be the first derivative of -y**3\/6 - 15*y - 8. Let z(d) be the first derivative of i(d). Determine h(z(n)).\nAnswer: 19*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 9*o**4 + 3*o**4 + 1 - o - o**4 + o + (-4*o**2 + 3*o**2 - o**2)*(o**2 - o**2 - o**2).\nAnswer: -5*o**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4389922*1.5.\nAnswer: -2.1584883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 43956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 4f9a?\nAnswer: 4f96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, w: 4, p: 5, c: 1}. What is prob of sequence cw?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 79 = 12*b. Suppose b*a - 334 = -301. Calculate the highest common divisor of 319 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7225820 (base 9) to base 3\nAnswer: -21020212220200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 24*b**2 - 5*b - 327. Let s(w) = 13*w**2 - 3*w - 174. Let x(p) = -11*s(p) + 6*y(p). Calculate x(-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 936 divided by -104.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (s**3 + 2*s**3 - 2*s**3)*((0 + 0 + 1)*(0 - 1 + 0) - 4 + 6 - 4)*(-31 + 49 + 15)*(2 + 4 - 3) in the form d*s**2 + r*s + u + o*s**3 and give o.\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 10*b**2 - 5*b. Suppose -4*u + 11 = -5. Let v(z) = -9*z**2 + 4*z. Let k(y) = u*a(y) + 5*v(y). Let c(g) = 2*g**2. Calculate k(c(n)).\nAnswer: -20*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -7 (b) 5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2572*t = 1416*t + 34680 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-3 - -1 - (-2 - 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpddpaos. What is prob of sequence dd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x = -3*x + 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/18? (a) -1\/2 (b) -3\/7450 (c) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56111, -223003, -500677, -889133, -1388371, -1998391, -2719193?\nAnswer: -3550777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-1\/2))\/a**6)\/(a\/(a**(-1)*a)*a**(2\/9)))**31 assuming a is positive.\nAnswer: a**(-3751\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 59 + -72 + (19 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1428616 less than 0.8?\nAnswer: -1428615.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*c - 3*o, -2*c - 4*o - 12 = -c. Put c, -5, 5 in ascending order.\nAnswer: -5, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13515101 (base 6) to base 2\nAnswer: 1110000100110001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -437722860093147 - -437722857034472.56600087. Let i = k - -3058822.434. Let q = i - 148. Round q to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*n, 2*n + 126 = 10*s - 6*s. Calculate the highest common divisor of 510 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 873286069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 15) to base 11.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zg when two letters picked without replacement from {y: 6, q: 1, g: 6, p: 1, z: 5}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 413.999999844 + -414. What is j rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 9\/5, 0.0617, 7?\nAnswer: 0.0617","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r. Let g(m) = m. Let f(q) = -q**2 + 4*q + 5. Let c be f(4). Let t(p) = c*g(p) - 4*x(p). Let h(z) = -3*z**2 - z**2 + 5*z**2. Give h(t(i)).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2. Let n(u) = -5*u + 22. Let x(s) = -6*s + 24. Let z(k) = 5*n(k) - 4*x(k). Give z(j(g)).\nAnswer: -2*g**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 4*a**2 + 1. Suppose -4*w = 2*o - 2, 15 = -8*o + 3*o. Suppose -t + 6 = w*t. What is b(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-42)*(-27)\/30?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 612417871 take away -0.6?\nAnswer: 612417871.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5999 and 1082165609?\nAnswer: 5999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101000101100000 (base 2) to base 6.\nAnswer: 240240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2033102*q**2. Let n(c) = -c. Determine a(n(f)).\nAnswer: 2033102*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05 - 709.26.\nAnswer: -709.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one fifths of a day?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019 a factor of 1995202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (306*l - 206*l + 260*l)*(6*l - 6*l + 5*l) to r + h*l**2 + j*l and give h.\nAnswer: 1800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17458? (a) -1\/3 (b) 0.7 (c) -3 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 7680*d**3 + 2*d + 197 - 7679*d**3 - 11*d**2 - 213. Suppose -t + 22 = t. Calculate b(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**2 - 7*f + 535. What are the prime factors of h(17)?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1581*d*s**2 - d*s + 2*d - 2*s + 695 wrt s.\nAnswer: 3162*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4057 - 4057.0314. Round a to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y + 0*y + 3*y + (0 - 2 - 3)*(-y - y - 2*y) in the form w + s*y and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-2))\/(7\/35). Let x(s) = -s**3 + 3*s**2 + 2*s - 2. Let y be x(3). Let w = -24 + 26. Put y, -4, w, l in descending order.\nAnswer: y, w, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 1\/6 (c) 1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1284)\/141882 - (-568)\/(-34918)\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 551*s**3 - 699*s**2\/2 + s + 2007. Find the second derivative of n(j) wrt j.\nAnswer: 3306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -1\/24*t**4 - 42*t**2 + 0*t + 0*t**5 + 1\/6*t**3 + 2 - 1\/24*t**6. Suppose 2*w - 1 = n + 2, -4*n - 1 = 3*w. Give s(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -42*j - 6. Let b(a) = 3*a - 140. What is u(b(g))?\nAnswer: -126*g + 5874","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 657087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*i = 24, -3*i + 15 = -b + 2. Suppose g - 52 = -b*s, 5*g - 15 = -5*s + 260. Calculate the remainder when g is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 547906?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5\/2, 0.5, -4\/5, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e70 (base 15) to base 2.\nAnswer: -1100111100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1686 + 2929. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - n**5)*(8 - 11 - 13).\nAnswer: 16*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**19)\/(h**6\/h) assuming h is positive.\nAnswer: h**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 3*w - 19 + 51 = 0, -w = 5*g + 29 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 324503158 and 150318.\nAnswer: 16702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26619879.99941 - 26620002. Let f = p - -122. What is f rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 5:47 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112 + -1?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -7*j**3 - 91*j**2 + 4*j + 28. Determine i(-13).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.125759 times -13?\nAnswer: 131.634867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -8*b**4 - 20*b**3 + 25*b**2 + 3. Let w(f) = -9*f**4 - 20*f**3 + 25*f**2 + 4. Let t(p) = -3*w(p) + 4*y(p). Factor t(l).\nAnswer: -5*l**2*(l - 1)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1312705506.\nAnswer: 2, 3, 7, 31254893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by -24.\nAnswer: -11\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*l + 15 = 0, -4 = -4*b - 5*l + 21. Suppose b = -3*o + o. Suppose m + o*m = 26. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/8 - 87*l**2\/4 + 2523*l\/8.\nAnswer: 3*l*(l - 29)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1331154 divided by -6\nAnswer: -221859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 14*z. Let w(a) = 66*a**2 + 2. Give w(t(p)).\nAnswer: 12936*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1527 is divided by 27?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*h + 252935 - 252935.\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*w**6 + 27*w**5 - 73*w**4 - 64174*w**2.\nAnswer: -720*w**3 + 1620*w**2 - 1752*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 + 63 = -p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/8 and -11\/1362?\nAnswer: 5448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 2543977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/27)\/(16\/30))\/(-1 - (-55)\/80)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/679 and 115\/154.\nAnswer: 14938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 4\/(-2))\/(147\/28). Let x = 13\/14 - s. Suppose 5*f + 7 = -a - 4, 4 = -2*f. What is the biggest value in a, x, -7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(405) + 2.\nAnswer: 1 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -690, -1428, -2170, -2916?\n\"Answer: -2*x**2 - 732*x + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**4 - 94*i**3 + 1290*i**2 - 4906*i - 6292 = 0.\nAnswer: -1, 11, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by (-174)\/4*356\/(-267).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -3, 25, 2 in descending order.\nAnswer: 25, 4, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from jllplgljjppllppgpppl?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2890835 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 2:40 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -8*x - 2. Suppose r + r = 2. Let f be r\/(-2)*0 + -2. List the prime factors of i(f).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, 33, 67, 119, 195?\n\"Answer: v**3 + 15*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25213*i**3 + 44053*i**3 - 18833*i**3.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 172842228?\nAnswer: 172842228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-3) + (-191)\/(-573). Which is greater: l or -1\/4545?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38.769 - 0.231. Let k = 711.8358 + -750.83499. Let s = k - l. Round s to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from illihlllhellhhlehlll. What is prob of sequence li?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 35 + -14 + -6?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, b: 4, y: 3, l: 2, v: 4}. Give prob of picking 1 v, 1 l, and 2 y.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + -5 - -15) + -53 + (-2 - -5)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*z - 109*z = 96*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 0*x**3 + 3 - 2*x**2 + 0*x**4 + 4\/5*x**5 + 0*x. What is the second derivative of t(s) wrt s?\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - (-33 + 42 + 10) - (-47 - 0)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 19*c**2 + 94*c - 470. Give f(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-74801)\/(-10) - -15*(-14)\/2100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213445 is divided by 169.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q**3 + 137 + q**3 - 137.\nAnswer: 11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**17\/(j\/j**(-10))*(j*j**(-2\/3)\/j)**(19\/5) assuming j is positive.\nAnswer: j**(52\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 23900000*q**3 + q**2 + 2*q + 1. Let x be y(-1). What is x rounded to the nearest 1000000?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 19\/8 + 54\/(-144). Suppose 5*n - 15 = m, -n + j*m - 16 = -2*m. Solve -2*d = -5*v + 20, n*d + 18 + 0 = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -127*v**4 + 1072*v**3 - 13813*v + 8 wrt v?\nAnswer: -1524*v**2 + 6432*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 201.88 + -1533?\nAnswer: -1331.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s + 2*s - s)*(2 - 6 + 2) + (1 + 2 - 4)*(-1 + 3 - 6)*(1 + 3 - 5)*(-s + 6*s - 2*s) to w + a*s and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 8*q + q. Let p = -3 + 5. Suppose q*a - 5*t - 96 = 0, 1 + 143 = 3*a - p*t. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/2)*h**(-1\/2))\/((h*h**(-1\/7)*h*h*h)\/((h**0*h)\/h)) assuming h is positive.\nAnswer: h**(-27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*z - 738 = -15 + 297. Solve -348 = 78*u - z*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 11*t**2 + 18*t + 12. Let y(p) = p**2 - 2*p. Calculate -2*d(x) - 18*y(x).\nAnswer: 2*x**3 + 4*x**2 - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -90*b - 46*b. Sort -2, b, 27, -1 in decreasing order.\nAnswer: 27, b, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 6*v**2 - 7*v + 4. Let r be b(-4). Let k(u) = u**2 + u + 49110000. Let f be k(r). What is f rounded to the nearest 1000000?\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -4*d + 16, 8 = 7*d - 5*d - 3*n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6125 and 898100.\nAnswer: 31433500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002861 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1260, 14, -307, 4 in descending order.\nAnswer: 1260, 14, 4, -307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oiioili. What is prob of picking 1 o and 2 i?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -8.1811, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 161*b - 25*b = -2377 + 65 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3561\/4*t**3 + 3\/4*t**5 - 8460*t - 11181\/4*t**2 - 4725 - 195\/4*t**4 = 0. Calculate t.\nAnswer: -1, 7, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-87)\/9 - -3)*15. Let y be (u\/(-6))\/((-8)\/(-12)). Suppose -h + y = -17. Is h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 9*w**2 - 2. Let c(r) = 12*r**2 - 5*r. Let v(i) = 19*i**2 - 8*i. Let x(l) = 8*c(l) - 5*v(l). Give f(q) - 4*x(q).\nAnswer: 5*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 301 - 464. Let f = c - -252. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 7.6 (b) -1 (c) -5 (d) 2 (e) -0.2 (f) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4884.3 - 4884. Sort 6\/31, -4, 0.1, b.\nAnswer: -4, 0.1, 6\/31, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten ninths of a day in minutes?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + (sqrt(448) - 3*sqrt(448)) + sqrt(448)))**2*4.\nAnswer: -2048*sqrt(7) + 28928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 981 = 4*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**2 + 17*u - 21*u - 3*u**2 to h*u**2 + w + j*u and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 8:32 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0767676 to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 338895506?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, v: 2, m: 1, n: 4}. Give prob of picking 1 i, 1 v, and 1 m.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 19*t**2 + 15*t + 54. Let b be h(18). Let n be 16\/10 - 4\/(-10). Suppose 0 = -b*l + l + 3*f + 8, -n*l - 5*f - 13 = 0. Solve -2 = -d - l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-232*t + 115*t + 120*t)*(3*t**2 + 2*t - 2*t) - 10 - t**2 + 3*t + 11 - 2*t**3 - 2*t to the form m*t**2 + y + c*t**3 + g*t and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 3, 4, -384, 35.1, 1.4?\nAnswer: 35.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 264 and 58440?\nAnswer: 642840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(6\/7)*z**(-18))\/(z*z**(3\/28))**21 assuming z is positive.\nAnswer: z**(-1131\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 129, -1, 4 in decreasing order.\nAnswer: 129, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 9) to base 11.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21*f**2 + 76*f**2 - 109*f**2 + 311 wrt f?\nAnswer: -108*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -659 divided by 32563.\nAnswer: -659\/32563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 286237 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: Four letters picked without replacement from {r: 1, y: 4, j: 5, u: 1, d: 4}. What is prob of picking 1 j and 3 d?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 149627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17242 - -17242.2. Which is the closest to i? (a) 1 (b) -110 (c) -2 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - (-2 - -2)) + -5. Let k(b) = b**2 + b - 3. Let u be k(n). Put -5, u, -1 in ascending order.\nAnswer: -5, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/9, 1, -1.4, -3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -4*f**2 + 0*f**4 + 1\/224*f**8 + 0*f**3 + 1\/28*f**7 + 0 + 0*f + 1\/10*f**6 + 1\/10*f**5. Suppose y(m) = 0. What is m?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 1:18 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 43.63539 to 0 decimal places.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 960, 1531, 2092, 2637, 3160, 3655?\nAnswer: 4116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000827 to five dps.\nAnswer: -0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/112880 and -13\/160140.\nAnswer: 53166480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -23. Is -4 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -129, 74, -2\/5, 2, 2\/9 in ascending order.\nAnswer: -129, -2\/5, 2\/9, 2, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/7 - ((-12)\/4 + 3). Which is the closest to -4? (a) -0.4 (b) -0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -203719*u**3 - 3*u + 25877.\nAnswer: -1222314*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 97 + -66. Let l(p) = 58 + 3*p**2 - r - 27. Let h(i) = 8*i**2. Determine h(l(m)).\nAnswer: 72*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -11*x + 46. Let n(m) = 5*m - 26. Let z(f) = -3*h(f) - 5*n(f). Let v = -66 - -77. Let k(d) = 3*d - 3. What is v*k(c) - 4*z(c)?\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.13 or -180?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 1741718.\nAnswer: -1\/870859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1538 is divided by 1438.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/13? (a) 23.2 (b) 0.2 (c) -2\/9 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/66 and 19\/673509.\nAnswer: 14817198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27358898.\nAnswer: 2, 7, 19, 163, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3035404 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352479269?\nAnswer: 31, 3041, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 1327*j + 60201. What is m(-47)?\nAnswer: -2168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o = 112. Is 9*o - 3*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.1, -1, 2\/27 in descending order.\nAnswer: 0.2, 0.1, 2\/27, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 10879992 = 2*v, -3*v = 2*j - j + 2719988. What is j rounded to the nearest one hundred thousand?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = h + 13, 4*h + 23 = -5*f - 32. Let m be -1 + (-303)\/h + (-21)\/105. Which is the second biggest value? (a) 2 (b) m (c) -1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of k**4\/12 - 5*k**3\/9 - k**2\/6 + 5*k\/3 - 37. Factor o(v).\nAnswer: (v - 5)*(v - 1)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -1.18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 3. Let d = -2191 - -2190.9. What is the closest to 1\/2 in o, 2, d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 4:29 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*j**4 - 24*j**3 + 32*j**2 + 4*j?\nAnswer: -72*j - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 11*f**2 + 6*f + 16. Let c(o) = -o**2 - o - 3. Let u(t) = 6*c(t) + l(t). Let k(g) = -60*g**2 + 25. What is -2*k(z) - 25*u(z)?\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 0.06287.\nAnswer: 2.06287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**4 + 1336216*a**3 + 2672428*a**2 = 0?\nAnswer: -1336214, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 1. Let j(g) = -2*g + 9. What is -2*j(h) + 18*n(h)?\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -204 + 337. Let q = 130 - d. Suppose 2*j + 4 = j. Sort j, q, -1.\nAnswer: j, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171 - 148 + z**3 - 3*z**2 + 12*z**2 + 12*z**2 + 2*z**3.\nAnswer: 3*z**3 + 21*z**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125012*k + 125008*k - 124 = 4*i, 5*i = -180 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-4 + 9 + -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**2\/(t\/(t**34*t)) assuming t is positive.\nAnswer: t**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/4133146 and -73\/113496.\nAnswer: 49597752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2892 = -736. Does 15 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 556 = f + j, 5*f - 2822 = j. Suppose -f = -5*o - 0*o. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -5 (c) 0.05 (d) 1 (e) 3453\/2 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -546925, -546410, -545905, -545416, -544949, -544510, -544105?\n\"Answer: -j**3 + j**2 + 519*j - 547444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/3 of a week?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/2*(-4)\/24*3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from vco.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 + -64. Suppose q = 8*a - 941 + 149. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10 - ((-6)\/57 + (12096\/(-513))\/4). Let r = 1 - 1. What is the second smallest value in 4, r, 4\/17, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -80, 1\/196 in descending order.\nAnswer: 1\/3, 1\/196, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -66, -170, -316, -504, -734?\n\"Answer: -21*k**2 - 41*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/4660 and -64\/1647.\nAnswer: 7675020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 251748924 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*g + 10 = 0. Suppose -509173 = f + g*a + 10430398, 0 = 4*f - 4*a + 43758260. Let z = f + 16139567. Round z to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 57*f**4 + 54*f**4)*(-1 + 2 - 3)*(7 - 7 + 5) as s*f**3 + j*f**2 + l*f**4 + v + w*f and give l.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 12 = -k. Suppose 10 = -5*b + 7*b. Let z = -5 + 0. Put z, k, b in descending order.\nAnswer: b, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1954*b**3 + 6*b + 0*b - 2*b + 1962*b**3.\nAnswer: 8*b**3 + 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.56285 rounded to 2 decimal places?\nAnswer: 3.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*-3 + 5)*3.\nAnswer: -9*sqrt(2) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 120020333?\nAnswer: 120021002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*u + 56*u - 4*w - 22, 17 = 4*u - 5*w. Which is smaller: -76\/23 or u?\nAnswer: -76\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5 = 4*z, -2*z + 6 = -2*u - 0*u. Suppose -8*r = -3*b - 7*r + 68, -z*r = 4. Calculate the remainder when 54 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 8*r - 35. Let b = r - -14. Sort -0.1, b, 5.\nAnswer: -0.1, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -367 (base 9) to base 10.\nAnswer: -304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 9*k - 3. Suppose 36 = -4*b - 4*j, 4*j + 20 = -5*b - 28. Let f be 12\/10*(-80)\/b. Determine u(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*v - 5 = -5*y, 2*y + 3*v + 2 = 0. Suppose 5*m = 4*m + y. Let b = 7 - m. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64632256697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 6:29 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**4\/6 + 41*v**3\/6 + 25*v**2 - 97*v. Let u be s(-20). Are 148\/5 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-5))\/((-140)\/(-200))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 31 = 5*o, 3*o - 3 = 12. Let a(f) be the second derivative of 5\/2*f**n + 3*f + 1\/6*f**3 + 0. Calculate a(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35354920 divided by -7070984?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, -210, -287, -354, -417, -482, -555?\nAnswer: -642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 11516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 435687?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2240*y**3 - 500*y - 2123*y + 59*y - 788*y**3 wrt y.\nAnswer: -18168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -128*x**4\/5 - 224*x**3 - 600*x**2 - 650*x - 250 = 0.\nAnswer: -5, -5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2647, 5 in ascending order.\nAnswer: -2, 5, 2647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*(f*f\/(f**(-2\/41)\/f)*f)\/f)\/f)\/f**(-13\/4) assuming f is positive.\nAnswer: f**(1197\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from plwlpllwwlhhjhl.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6842*c**3 + 3260 with respect to c.\nAnswer: -20526*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5516729*s**3*x**3 + s**3 + 11*s - 22950*x**2 wrt x?\nAnswer: 33100374*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -105*o - 72. Let c be x(-1). What is the highest common factor of 506 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from 0.07060300317.\nAnswer: -0.12939699683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -330*f**2*t + 2*f**2 + 145*f*t - 2*f + 38342*t + 25 wrt f.\nAnswer: -660*f*t + 4*f + 145*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**3\/6 + 7159*t**2\/3 + 28639*t\/6 + 7160\/3 = 0.\nAnswer: -1, 14320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*6*(-11)\/396.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-4)\/(-5))\/(-4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 891 is divided by 60?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*k - 125*k + 59*k - 82*k.\nAnswer: -218*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -p**2 + 9*p - 195. What is a(8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + sqrt(13)) + 5.\nAnswer: -3 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 z when two letters picked without replacement from yyzzhyw?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*g + 112 = 26*g - 14*g. Let d = 3 - 5. Which is the biggest value? (a) d (b) g (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -347 + 512. Suppose -m = 5*s - 695. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 45 - 29 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9152079 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.82 - -4. Let j = p - -1.82. Which is smaller: -6 or j?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*6072\/3105*-5?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1176) - (-1*sqrt(1176) - sqrt(1176)) - sqrt(288)\/(sqrt(12)*1))\/(sqrt(96)\/(sqrt(12) - (sqrt(24)\/sqrt(2) - sqrt(12))) - 1*sqrt(200)).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -5*j + 18, 4*y = -1 - 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543030?\nAnswer: 2, 3, 5, 23, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 56\/4*(-1)\/(-2). Suppose -3 = 2*z - n. Solve -5*f + 2 = -2*w, -4*f + 5 = -5*w - z*f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 4613.\nAnswer: 4615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r - 2. Let c be o(4). Suppose 5*l + c*y + 26 = 0, -l - 10 = 5*y - 3*y. Let p be (l - -2) + 4 + -1. Solve p = m - 4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1621, 6469, 14557, 25891, 40477, 58321, 79429?\nAnswer: 103807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -689 + -443583.0954\nAnswer: -444272.0954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23803418083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1877065588?\nAnswer: 2, 127, 3695011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxsxxxxxxxssx. What is prob of picking 1 s and 3 x?\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.56215m to kilometers.\nAnswer: 0.09256215","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86884 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.459 - 1.48155. Round q to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2546*k**2 + 102*k - 319. What are the prime factors of f(3)?\nAnswer: 22901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(232\/((-638)\/(-22))).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*k - 234*k - 9204 = 0. List the prime factors of k.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 157550204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c**0)*c)**1)**(3\/17)\/(c\/c**(-5)*c**5\/c*c)**(19\/4) assuming c is positive.\nAnswer: c**(-3529\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -292*k**5 + 41*k**4 - 3*k**2 + 2*k - 3765 wrt k.\nAnswer: -17520*k**2 + 984*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 741*b + 775*b - 1515*b - 4403*b**5 + 714 + b**2 wrt b.\nAnswer: -264180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/((-20)\/170*(-272)\/16).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50777719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 6, t: 1, b: 4, u: 1, a: 6, w: 2}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*j**4 - 5 + 487*j - 246*j - 230*j + 3 wrt j?\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - x**2 + x + 1. Let d(b) = 3*b**3 + 4*b**2 + 4*b - 8. Let m(a) = -d(a) + 2*j(a). What is the units digit of m(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 25. Let x be 3\/(-3 - t) - -9. Suppose 5*s + 135 = x*v - 2*v, 185 = 5*v - 3*s. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((11 - -6)\/(-85))\/((-351)\/(-303)) and -9\/325.\nAnswer: 2925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 521.1821 decades to centuries.\nAnswer: 52.11821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-5 + sqrt(252) + -4))**2 + (5*sqrt(252)*3)**2*-2)*1.\nAnswer: -101412 - 3888*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h + 1663974. Let q(b) = b. Determine q(r(a)).\nAnswer: -2*a + 1663974","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1300634 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1062 times -138\nAnswer: 146556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w**3 - 4*w. Let l = 13 - 9. Let r(y) = -y - l*y + 3*y**3 + 3*y**3. Let k be 5*(0 - 2\/(-2)). Give k*v(x) - 4*r(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -199 + 178.9. Let c = x + 36.1. Is -0.2 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-11 + -20 + 16)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/26*(-3627)\/11160*(-45)\/(-12)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bebb when four letters picked without replacement from ibbiibbeiieeb?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a day in hours?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.6 and -244.\nAnswer: -245.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -7263, 3, -2\/23 in descending order.\nAnswer: 3, -2\/23, -21, -7263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -6*p. Suppose p = -4*i + 18 - 10. Solve -2\/3*o**5 - 1\/6*o**4 + 2\/3*o**3 + 1\/6*o**i + 0*o + 0 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p - 2*p + 1 - 2*p + (1 + 0 - 3)*(5*p + p - 4*p) + 4 - 4 + 2*p)*(-15 + 15 - p) in the form t + w*p + z*p**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 2*d + 6565 = 0. Suppose -5*s + 3*f + 128 = 1760, 0 = 4*s + 5*f + d. Let o = 210 - s. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*i = 1323*i - 36736 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 2*p**2 + 0*p**2 + (p + p - p)*(-3*p - p + 6*p) + 1 - 1 - 5*p**2 - 3*p**2 + 5*p**2 - 4*p**2)*(0 + 18 - 3).\nAnswer: -45*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(13\/2)\/r)\/r)**(6\/13) assuming r is positive.\nAnswer: r**(27\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 84 and -83830.\nAnswer: -7041720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.199134ug to kilograms.\nAnswer: 0.000000000199134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**2 + 11*b. Let t(p) = -21*p**2 + 56*p. Let k = -1547 - -1549. Determine k*t(i) - 11*s(i).\nAnswer: 2*i**2 - 9*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 890993622.\nAnswer: 2, 3, 29, 179, 28607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5 - 7 = 0. Let d be (-6)\/(-6) - (-2)\/1. Suppose 3*t - 1 - 60 = -m*f, -35 = -t + d*f. Calculate the remainder when t is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 577496666 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -82, 9, 5 in ascending order.\nAnswer: -82, -3, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**5\/20 - 19*m**4\/12 + m**3\/2 + 45*m**2\/2 + 298*m. What are the prime factors of f(-20)?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t. Let u(g) = -198*g. Calculate u(r(s)).\nAnswer: 1188*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -105 + 113.825. Let x = -0.32 - 8.68. Let d = x + v. What is d rounded to 2 decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**4 - 2*w**4 + 2*w**4)*(15 - 14*w - 15).\nAnswer: 28*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6529 is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((((sqrt(320) - (sqrt(320) + -1))*-3 - 3*(sqrt(320) + 0)) + -4*(sqrt(320) + 0) + 4)*-2 + -1)**2.\nAnswer: -672*sqrt(5) + 62731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(19) + -1)*4 - sqrt(19))*6.\nAnswer: -25 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9936 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9142, 5, 1, 2 in ascending order.\nAnswer: -9142, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**4\/12 + 5*l**3\/6 - 3*l**2\/2 + 2*l + 10. Calculate g(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 12, 0, -14270, -10, -3 in decreasing order.\nAnswer: 12, 5, 1, 0, -3, -10, -14270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/3 (b) -3\/7 (c) -2\/9 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107 + (-66 - -34) - (16 - 2).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/4 (b) 0.007 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3180476 - 3180477.489897. Let s = 19.39 - 17.9. Let y = k + s. Round y to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + (-1*((sqrt(80) - 3*(-1 + sqrt(80))) + 6*(sqrt(80)*1 + sqrt(80)) - (-5*sqrt(80)*2 - (4 + -1*sqrt(80) - sqrt(80)))))**2).\nAnswer: -25972 - 1008*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -407 - -405. Let k be g\/21 + (-1720)\/(-420). Solve -3*p = 5*q - 3, 0 = -k*p - 0*q + q - 19 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 e when two letters picked without replacement from {c: 11, j: 1, e: 1}.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4658, -4659, -4660, -4661, -4662?\nAnswer: -4663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/61, 0, -4, 3\/5, 19\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -333.9 + 333.9000024924. Round q to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -383945\/24 - -16000. What is the common denominator of s and -61\/10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*c, 4*p + c = p + 23. Suppose 0 = 4*w - 2*g - 90, 3*w + p*g = 2*g + 73. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1755827 is divided by 3776.\nAnswer: 3763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -38659?\nAnswer: 7731.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3250 is divided by 1076?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 3:52 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -3*o**3\/4 - 24*o**2 + 9585*o\/4 + 176175\/2 = 0.\nAnswer: -45, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 4*o - 56, -3*z + 39*o = 42*o - 51. Solve -5*w + 7*w = -d - z, 0 = 2*d + w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4999084 minus -20?\nAnswer: -4999064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1567 and 0.58?\nAnswer: 1567.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 + -191\/4. Suppose 4*c + 12 = 0, -4*d - 21 = 5*c + 14. Sort d, f, 11.\nAnswer: d, f, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**3*n - d**3*s**3 + 2*d**3*s + 9*d**2*n*s**3 + 4*d**2*n*s - 3*d*n*s + 2*n*s**2 wrt s.\nAnswer: -6*d**3*s + 54*d**2*n*s + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 103 + -52. Let n be 2\/(-4) - (-846)\/4. Suppose n = 4*f + u. Is f a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -110001111010001?\nAnswer: 110001111001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + r**2 - 5. Let h be (-6)\/(-18) - (-16)\/6. Suppose 2*q = h*q. What is f(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -18315 and -9\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 9, -4799, 152, -3 in ascending order.\nAnswer: -4799, -3, -2, 2, 9, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1\/3 (b) -4\/7 (c) -5\/13 (d) 0 (e) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, -3, 0, 264 in descending order.\nAnswer: 264, 0, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280*i**2 + 555*i**2 - 11 - 280*i**2 + 11.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -z + 24, -3*d - 4*z + 9 = -2. Suppose -d = 3*p - 311. Suppose -5*c + 4*l + 459 = -75, c = 2*l + p. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6*-3 - (-24)\/10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89 - -84.7. Let p = -4.2 - u. Let b = 0 + -0.2. Put p, b, 1\/5 in ascending order.\nAnswer: b, p, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 19 = 5*o, 48*f - 470 = 44*f - 442*o for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 40044034?\nAnswer: -40044042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 307978951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 217979500 and 20.\nAnswer: 217979500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013806 rounded to 6 decimal places?\nAnswer: -0.000138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c. Let y(n) be the first derivative of 2*n**2 + 2*n**2 - 3*n**2 + 159. What is p(y(w))?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (3 + 0)) + 11 + -8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-11))**(-12\/11) assuming u is positive.\nAnswer: u**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 1.72, 1.5, 0.2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 66a?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77 + 147. What is the remainder when p is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5976.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4163874 a multiple of 429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.2232, 822, -0.5 in decreasing order.\nAnswer: 822, 0.2232, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -70b048 (base 15) to base 12.\nAnswer: -1961842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o - 32. What is g(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.820173 years in decades?\nAnswer: 0.2820173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1897517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45356 and 14674.\nAnswer: 498916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3596755 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -9, 3, -5, 1\/2 in descending order.\nAnswer: 3, 1\/2, 1\/7, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/384 and -131\/23928?\nAnswer: 382848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 2*m - 8. Let u = -25 + 29. Let y be p(u). Solve 0 = 5*t + 5*n, -t - 3*t + 2*n + 18 = y for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6765916379?\nAnswer: 24121, 280499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q**(-8\/9)\/q)\/q))\/(q\/(q*q**18))*(((q**(-32)\/q*q*q)\/q)\/q*q*q)\/((q\/(((q*q**(-13))\/q)\/q))\/q) assuming q is positive.\nAnswer: q**(-208\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-18) + 26\/(-6). Let z = 3 - 9. Sort z, f, 5.\nAnswer: z, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 237 = 8*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f + 14*f + 88 = c, 280 = 3*f - 5*c. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2631241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -x**4 - 3*x**3 + 16199537*x**2 - 1335640619 wrt x?\nAnswer: -4*x**3 - 9*x**2 + 32399074*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7764, -9922, -12080, -14238, -16396?\nAnswer: -18554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23.2 - -23.4. Which is the nearest to x? (a) -6 (b) 0.4 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 5:02 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 + -1 + (2 - 11 - -26).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000759571 rounded to 7 dps?\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v + 14. What is the remainder when 167 is divided by q(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6205 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6*g**2 - 55*g + 88. Determine b(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 11372160\nAnswer: -1\/2843040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventy-two fifths of a century?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 350 = 4*s, -67 = 5*s + 4*l - 485. Let u = -81 + s. Suppose 9*c - u*c = 728. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**3 - 3*s**2 - 3*s + 6. Let u be c(2). Solve -21 + 41 = -u*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/7))**(-1\/9))**25*((r**(-2)*r)**(1\/9))**7 assuming r is positive.\nAnswer: r**(-11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**3 - 2*m**5 - 66*m**2 + 4*m**5 + 73*m**2)*(0 - 2 + 1)*(-4 + 0 + 2).\nAnswer: 4*m**5 - 6*m**3 + 14*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53.9 + -0.4. Round w to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -10, 1 in decreasing order.\nAnswer: 12, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 101120?\nAnswer: 101102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, 1\/4, 339, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 o when three letters picked without replacement from {o: 16, j: 4}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -152*k + k**2 - 154*k + 28 + 306*k in the form j + x*k + q*k**2 and give j.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 13. Suppose 13*r = u*r + 91840. Suppose r = m - 9*m. Round m to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280889947 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413991.\nAnswer: 3, 19, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 322 divide 1891742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - 2. Let t = d - -12. Suppose 0 = t*y - 77 + 17. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -0.01?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 930 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 2:38 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (-13 + 2\/((-4)\/(-6))). What is the greatest common factor of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -146*x + 3650. Determine q(25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.8, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12088, -24174, -36260?\n\"Answer: -12086*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - x - 1168 = -1164, 2*k - 27 = 5*x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s + 36*s**2 + 7*s - 8*s - 5*s. Let w(b) = 5*b. Give y(w(a)).\nAnswer: 900*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 6:30 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 453255114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4*((-6)\/(-5))\/((-135)\/(-1050))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbbnpqin. What is prob of sequence qib?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 (base 8) in base 16?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4*q + 165. Give y(32).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88383 = 1429*k + 164*k - 45*k - 47841 for k.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**0*d\/(d*d*(d\/d**4)\/d*d*d))**(-20))**(-1\/37))**(-2\/17) assuming d is positive.\nAnswer: d**(-80\/629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 10 - 10)*(-1)\/(-3). Is (36\/72)\/(z\/(-786)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11699278245+5\nAnswer: 11699278250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) -17 (b) -3\/7 (c) 2\/17 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/2324 and 31\/28?\nAnswer: 2324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -78 and -1?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -227 + 226. Let p = 77\/111 + -1\/37. Which is the closest to l? (a) 1 (b) p (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlxr when four letters picked without replacement from lzzrlzzxxrxz?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 - 1484*o + 531247. Calculate c(264).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1496*v + 4 - 2204*v - 4 as r + d*v and give d.\nAnswer: -708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1141.\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 11:50 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**8\/20160 + v**7\/840 - v**6\/80 - v**5\/10 - v**2. Let n(l) be the third derivative of h(l). Suppose n(z) = 0. Calculate z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8855605 to the nearest integer?\nAnswer: 2976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 3 + 4 + (-4 - 8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.15278373 - -0.15286. What is w rounded to six decimal places?\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/70923 and -59\/3572?\nAnswer: 5390148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 0. Let f be i\/(-15)*5\/3. Let g = -5.8 + 7.8. What is the nearest to g in f, 3, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4230, -4235, -4244, -4257?\nAnswer: -4274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 300 - 97. Let d = 82 + h. What are the prime factors of d?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -51256, -51265, -51274, -51283, -51292, -51301?\n\"Answer: -9*l - 51247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4))**(-2\/23)\/(b**(-3\/5))**38 assuming b is positive.\nAnswer: b**(2662\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttq when four letters picked without replacement from qqttttqtqt.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97 by 17.\nAnswer: -97\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(425) + -1.\nAnswer: -1 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -376*c**7 - 4*c**3\/3 - 10*c**2 + 5576. What is the third derivative of q(s) wrt s?\nAnswer: -315840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2273038 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 15*g + 4. Suppose 2569 = 40*m - 10719 - 5872. What is the lowest common multiple of m and l(-15)?\nAnswer: 1916","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/1650 and 79\/308?\nAnswer: 23100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p - 6 = 0. Let m be 0*(-2 + 1) + 7 + -7. Solve -2*v + p - 7 = m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 3 + 5 - b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 423169 a multiple of 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14846 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2017864176.\nAnswer: 2, 3, 42038837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384*y**3\/11 + 69408*y**2\/11 - 4181832*y\/11 + 83985126\/11 = 0. Calculate y.\nAnswer: 241\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o + 28. Determine n(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-28)*d**(-21)*((d\/((((d\/((d*d**(-15\/4))\/d))\/d*d)\/d*d*d)\/d))\/d)**(-19\/4) assuming d is positive.\nAnswer: d**(-423\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*u + 109*u + u**2 - 57*u.\nAnswer: u**2 + 146*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - d = -2*d + 4*m - 20, 2*m = -3*m + 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q + 6. Let i be n(-3). Let k be 1\/(-1) + 16 + 0. Suppose 0 = -2*g + 3*v + i, -3*v - 9 - k = -4*g. Solve -2*t - 7 = g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 0.0423?\nAnswer: -0.4423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 542 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8428985113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 690 and 8.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 979146431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -795817200 rounded to the nearest one hundred thousand?\nAnswer: -795800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -617 - -2247. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 104 = -3*h, 2*h + 2*z = 3*z + 76. Let i(p) = -22 + h - 3*p + 16. Let r be i(11). What is the second smallest value in -5, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.724988 and 2?\nAnswer: 1.275012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -2. Suppose 0 = a + z*y - 165, 3*a - 2*a - 175 = -4*y. Suppose -5*g + p = -160, 2*p = 3*g + 2*g - a. What is the remainder when g is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 divided by -37?\nAnswer: 41\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/6)*q**(2\/31)\/q*(((q\/(q**(-21)*q))\/q)\/q)\/q*q\/(q*q\/(q*q**40*q)*q*q) assuming q is positive.\nAnswer: q**(10397\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) 0.5 (c) -3\/5 (d) -10 (e) -12 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = g + 6, 3*l - 10 = -1. Suppose x + 0*x - g = 0. Let n be (23\/8 - x) + 0. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295*t - 284*t - 55 = 0. Solve 5*g + t = 5*p, -4*p = -g - 8*p + 24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (97 - (111 + -75)) + -191\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*v = 0, -m - 6*v = -v + 22. Which is the nearest to 2? (a) -4 (b) 2\/9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 9*g. Let u(v) be the first derivative of 0*v**4 - 4*v - 2 + 0*v**3 - 2\/5*v**5 + g*v**2. What is the derivative of u(m) wrt m?\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 - 6*f**3 - 2*f**3.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*r**5 + 1444*r**4 + 1482*r**3 - 5588*r**2 - 6408*r - 752 = 0. What is r?\nAnswer: -47, -2, -1, -2\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.42309cm in kilometers?\nAnswer: 0.0000942309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/(-35) - 2)\/((-45)\/35).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -1*2)\/((-2)\/(-388)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8 + 0.9. Which is the closest to -1? (a) h (b) -1\/6 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/414095 and 48\/25.\nAnswer: 2070475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7\/2 - -3. Let l = 3843573788623\/46746474 - 106610178\/1297. Let m = -6\/6007 + l. What is the common denominator of m and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22.8 - 17.8. Let c = 1 - 0.8. What is the nearest to -1 in -4, c, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 9*i - 8. Let u be b(8). Let f be (-15)\/((2 + u)\/2). Let j = 11 - f. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkxkxxvrkxsxvkxvxv. Give prob of sequence xr.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*x**5 - 12260*x**4 + 407984*x**3 + 2576016*x**2 - 1895040*x = 0. Calculate x.\nAnswer: -6, 0, 2\/3, 40, 987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**2 - 4029598*g + 2014800 = 0. What is g?\nAnswer: -1007400, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*g + 13809, 4*g + 125*a = 128*a + 27633. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/5)\/(43\/1720) - -1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 210*f + 213*f = -0 - 9, -o + 5 + 10 = -5*f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1611 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, j: 2, a: 1}. Give prob of picking 1 i, 1 j, and 1 a.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 4*s**2 + 2*s + 1. Let v = -3 + 6. Let h(g) = -g**2 + 9*g + 14. Let o be h(10). Suppose -9 - v = o*k. What is n(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.357, -1\/15, -2, -0.4, 0.1 in decreasing order.\nAnswer: 0.1, -1\/15, -0.357, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 8. Let y = -20.26 - -21.26. What is the nearest to 2 in y, j, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2 - 1 = 0. Let n be (-2 + j - -5) + -1. Suppose 0 = -i - n, 2*g + 2*i - 2 + 8 = 0. Solve -3*k + 6 = -g*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 16*k**2 + 57*k - 2. Calculate l(19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98549?\nAnswer: 11, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*l + 75*l + 3*l**2 + 8*l**2.\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 331550\/8 - (-300)\/(-400) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**2 + 34515*d - 34515*d.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -1463 and -44 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -17*t**2 + 42*t + 4. Let h(x) = 18*x**2 - 43*x - 4. Let q(u) = 4*h(u) + 3*s(u). What is the remainder when q(4) is divided by 45?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3698 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*h + 15*h = 0. Suppose h = p - 16*p + 5955. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-64)\/(-22)*(-1)\/(-2) and (-3)\/((-42)\/49)*(-10)\/1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 691, 695, 699, 703, 707, 711?\n\"Answer: 4*w + 687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -332*g**2 + 26549*g + 828. What is a(80)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**4 + 4056 - 4524*p - 32*p**3 - 549*p**2 - 53*p**3 + 1080*p**2 - 44*p**3 + 963*p**2 = 0. What is p?\nAnswer: 2, 13, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-3)*(4\/(-10))\/((-92)\/(-4830)*21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1308295 is divided by 654110?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*r - 4 + 8*r - 25*r)*(4*r + 3*r - 5*r)*(2 - 2 - 6) as g*r + m*r**2 + c and give g.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 2*c - 21. Suppose -4*n - 3*t + 7*t - 36 = 0, -4*t = 12. Is b(n) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64\/(-3)*((-187)\/22 - 11).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -7*j - 20. Let v(o) = o**2 + 57*o + 615. Let y be v(-42). Determine w(y).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126886671 to the power of 1\/3, to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.71 - 22.01. Let g = p - -21. Let x be ((-2)\/(-14))\/((-1)\/4). Sort x, -2, g in decreasing order.\nAnswer: g, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -13 + 6 - (-18 + -20 - -9).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1073769 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*t = -100, -3*o + 2*t + 8 = -52. Let y be (-4)\/o + (-12)\/(-10). Let r be ((-12)\/(-3) - y)\/7. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k**2 + 12*k + 28. Let q(h) = h**2 - 3*h - 7. Let d(x) = -g(x) - 4*q(x). Suppose 5*r - 4*r = 0. Let t(p) = 7*p + 3 + 0 + r - 4. What is t(d(l))?\nAnswer: 7*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/5215*92 - 5\/35. Is -1 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22*-26\nAnswer: -572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from evevveeeekeekeeeee. What is prob of picking 1 k, 1 v, and 2 e?\nAnswer: 13\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 69925, 137313, 204701?\n\"Answer: 67388*p + 2537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 684404 is divided by 3603?\nAnswer: 3437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4))**(2\/63)*(k**1\/k)**(2\/5) assuming k is positive.\nAnswer: k**(-8\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2754)*1)\/(1*sqrt(98)*3).\nAnswer: -9*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i**(-22)*i*i**(-1\/2) assuming i is positive.\nAnswer: i**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -2. Is 2\/(-2) - (-129 + n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 3:30 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f - 1. Let t(k) = -k + k + k + 0. Let q(n) = -2*s(n) - 22*t(n). What are the prime factors of q(-2)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*z - 24, x = -2*z - 1 - 2. Let v = z - -2. What are the prime factors of v - ((-17 - -3) + 1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61163 is divided by 19661?\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 206460 and 1058940.\nAnswer: 32827140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**3\/6 + a**2\/2 - a. Suppose 57 = 16*d + 5*u - 39, 24 = 4*d - 3*u. Let i(v) = -v - 1. What is d*g(y) + 5*i(y)?\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 129447.6 * -3.\nAnswer: -388342.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.4 (b) -1.1 (c) -2\/11 (d) 0.3 (e) -19339\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t**2 - 2*t**2 - t**2)*((-2 - 2 + 2)*(-2 + 2*t + 2) + 0 + 0 - 2*t + 6*t - 5*t - 2*t + 16*t - 4*t + 7*t) to q*t**2 + p*t**3 + o + i*t and give p.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96, -202, -362, -576, -844?\nAnswer: -1166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72799 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 + 481. What is the least common multiple of 63 and s?\nAnswer: 4662","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 - (16 - (17 - 4) - (-1 - -1))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 425624213 and -337031.\nAnswer: 425287182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10 + 10 - (-7 + 2). Suppose -o*d = -2*w + 210, -4*d = 4*w + 15 - 435. What is the greatest common factor of 21 and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 758\/5*(-15 - (-1295)\/14) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -2*k - 5, 3*p - 4*k + 8*k - 35 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((162\/12)\/3)\/(2\/(-4))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -10*h + 16. Let l(v) = -2*v + 3. Let c(x) = -3*k(x) + 16*l(x). Let i(s) be the second derivative of 0*s**2 - 2*s + 0 - 1\/3*s**3. Calculate i(c(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from {k: 4, u: 8, g: 3, a: 4}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 495756 to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 18*a**2 + 103*a + 27. Is l(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20853?\nAnswer: 3, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -5504.731 to the nearest ten.\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 4 + 5)*(-3 - 1 + 1 + (0 + 3 - 2)*(-1 + 0 + 3) - 5 + 3 + 0)*(-25*i + 15*i + 16*i + 26) in the form l + z*i and give z.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 3. Let c = -3.6 + x. Let l = -0.5 - c. Which is smaller: 1\/5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6269216.1 hours to weeks.\nAnswer: 37316.7625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, o: 3, r: 7}. Give prob of sequence oos.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 5*f + 6. Let z be g(4). Let l be (z\/4)\/(3\/6). What is the second derivative of -l - 2*p + p**2 + 1 wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000623 to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -19*s - 39. List the prime factors of w(-9).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/14, 1\/4, 1, -7\/2, 3\/5, -39 in descending order.\nAnswer: 1, 3\/5, 1\/4, -1\/14, -7\/2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4568 and 828116732.\nAnswer: 2284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 7:12 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**4 + 2*s**3 - 2*s**3 + (-1 + 1 - 2*s)*(-4*s**2 + 4*s**2 + s**3) - 78 + 9*s**4 + 78 to t*s**4 + m + l*s**3 + u*s**2 + w*s and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -573 - -1714\/3. Sort -5, 1, 0, b in decreasing order.\nAnswer: 1, 0, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76*259635\nAnswer: -19732260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163132 is divided by 9058.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 9*r**2 - 10*r + 5. Let d be z(10). Find the first derivative of 11*c**3 - 28*c**3 - d + 10*c**3 wrt c.\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cjjt when four letters picked without replacement from {c: 3, j: 4, t: 1}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (1 + 203\/(-28))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**3 - 2*o**2 + 1. Let y = -249 + 263. Let x(d) = -4*d**3 + 5*d**2 - 2. Calculate y*n(m) + 6*x(m).\nAnswer: 4*m**3 + 2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11.2+832501049\nAnswer: 832501060.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -a**8\/168 - 2*a**7\/105 + a**5\/15 + a**4\/12 - 3*a**2\/2 + 3. Let j(w) be the second derivative of d(w). Factor j(u).\nAnswer: -2*u*(u - 1)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 83697, 82624, 81551, 80478?\n\"Answer: -1073*k + 84770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or 48?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 5*z**2\/2 + 2*z + 36. Let j(b) be the second derivative of 35*b**3\/6 + 15*b**2\/2 - 4*b. Calculate -2*j(a) + 15*r(a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {a: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -32*x + 6. Let l(v) = 31*v - 5. Calculate 6*l(g) + 5*u(g).\nAnswer: 26*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -4, 341, 3, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 38344670. Let g(v) = -9*v**2. What is x(g(s))?\nAnswer: -81*s**4 + 38344670","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z - 1 - 1 + 4. Let j be d(0). Suppose 4*u + u + 2*g + 1356 = 0, 534 = -j*u + 2*g. Round u to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n + 27. Let q be t(-5). Suppose q*r + 108 = -5*i + 4*r, 0 = 2*r + 2. Let p = 11 + i. Which is the third smallest value? (a) 4 (b) p (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 1. Let j(l) = l**2 + 10*l. What is -j(x) + 2*s(x)?\nAnswer: x**2 - 10*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 66091.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1660)\/(-6))\/(126\/(-117)). Let k = q + 257. Which is the smallest value? (a) 1 (b) -3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -701688.52 to the nearest ten thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*d - a + 7, -20 = 4*a. Let j be (6\/(-9) + d)*(-72)\/(-15). Is j + 3 - (6 + -4) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -350*s**2 + 1\/3*s**4 - 1052\/3*s - 117 - 116*s**3 = 0.\nAnswer: -1, 351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b + 17 = -13 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.03, 5, 11\/56?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25.3 + -26. Let o = -34.74 + 34.8. Which is the smallest value? (a) 4 (b) o (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*m + 10. Let l = -4 - m. Calculate the lowest common multiple of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 822767760?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 579849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-12)*0\/4. Solve a = -5*v + 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/8 and -53\/3594922.\nAnswer: 14379688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -9. Let x be (j - 3)\/2*-5. Suppose 0 = -l + 2*l - x*k - 26, -2*l + 62 = -5*k. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-three fifths of a milligram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -1\/12*g**4 - g + 1\/3*g**3 + 1\/2*g**2 + 0. Let m be x(2). Which is smaller: m or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 36 (b) -1\/8 (c) 4\/7 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 7 = -23. Suppose l - s - 123 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-6))\/((-8)\/(-6)). Let w = -0.02 - 0.28. Which is the second smallest value? (a) -10 (b) w (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 971.608554 milliseconds to weeks.\nAnswer: 0.000001606495625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iir when three letters picked without replacement from {r: 1, i: 17}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/30537814 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -216 - -346. What are the prime factors of ((-3)\/(-5))\/(2\/s)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -u**4\/8 + u**3\/6 - u**2\/2 - 2. Let w(x) be the second derivative of d(x). What is the first derivative of w(j) wrt j?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1091 and -575 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 72\/7*(-210)\/(-20). Suppose -412 - r = 4*b. Round b to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**4\/2 + v**3\/6 - 19*v**2 - 5*v + 9. What is the derivative of b(a) wrt a?\nAnswer: 12*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/2*(-14 - (-96)\/8). Put 2, 4\/9, s in descending order.\nAnswer: s, 2, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 6*i**2 - 131*i - 39. Let z be o(9). Which is the closest to z? (a) -3 (b) 233 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.1679ml to litres.\nAnswer: 0.0811679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.5 and -1993548.196923.\nAnswer: -1993550.696923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 65, 211, 497, 971, 1681, 2675?\nAnswer: 4001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*m + 14*m**5 - 59*m + 0*m**5 wrt m.\nAnswer: 280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)\/(sqrt(12)\/(sqrt(4)*2)))\/(-6*3*sqrt(360)))**2.\nAnswer: 1\/972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-5)*j*j*j**(-4\/3))**10)**(-24) assuming j is positive.\nAnswer: j**800","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 2*m + 28, 4*a - m = -0*m + 51. Suppose -6*b = -a*b + 49. What is the remainder when 11 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83\/5 - 77\/5. Let l = 37\/130 + 3\/26. Factor 4*t**4 + 12\/5*t**2 + o*t**5 + 24\/5*t**3 + l*t + 0.\nAnswer: 2*t*(t + 1)**3*(3*t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and 80?\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q + 2. Let n be z(-6). Suppose -u + 2*u - 122 = -5*s, 118 = 5*s - u. Let h be -2 - -1*1*4. Solve 3*j + 5*b + n = 0, b + 4*b + s = h*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-32))\/(1\/136*595)?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 17 - 23 + 0*n**2 + n**3 + 5*n**2 - n**2. Let u be w(-3). Suppose -3*r - 5*g + 10 - 2 = u, -g - 8 = 3*r. Let y(c) = 4*c + 2. Calculate y(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25535*m + 7502*m + 2472*m - 14796*m.\nAnswer: -30357*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22623 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1736 and 3\/((-446400)\/(-11590)) - (-12)\/(-144).\nAnswer: 34720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68\/(-36)*-3)\/((-36)\/108)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**3 + n**3 - 5*n**3)*(5*n - 4*n + 2*n + (4 + 1 - 4)*(4 - 4 + n) - 2*n + n - 16*n + (-1 + 7 - 2)*(-2 + 1 - n + 2*n)).\nAnswer: 9*n**4 + 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50839 is divided by 164.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 136144*s**5 + 252239*s**2 wrt s.\nAnswer: 8168640*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of 13*l**2 + 1\/72*l**6 + 0 - 13\/360*l**5 - 1\/1260*l**7 + 0*l - l**3 - 5\/12*l**4. Determine c so that j(c) = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x**2 + 3*x**2 + 0*x**2)*(-2 + 5*x - 1 - x)*(-x + 2*x - 7*x) as w*x**4 + f + m*x**2 + d*x**3 + k*x and give d.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.06289 and -0.106.\nAnswer: -0.16889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 611 + -551. Let v = 76 - s. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h**3 + 17*h**2 - 17. Let g(u) = -5 + 6*u**2 + 5 - u**3 - 9 + 3. Let i(z) = -z**2 - 9*z + 5. Let l be i(-11). What is l*g(j) + 6*b(j)?\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + sqrt(180) + -1)**2*-2.\nAnswer: -1442 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1415828281?\nAnswer: 7, 137, 1476359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t + 76*t - 430 = 0. Solve -t = v - 2*i, 5*i = -3*v - 30 + 26 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65586631 to the power of 1\/2, to the nearest integer?\nAnswer: 8099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 1. Suppose 0 = 81*h - 78*h - 5*r - 49, 53 = 3*h - 4*r. What is the remainder when h is divided by u(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4332217?\nAnswer: 4332217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -84 - -105. Calculate the highest common factor of b and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, -3015, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 9811719*w**2. Let l(i) = -19*i**2. What is u(l(s))?\nAnswer: 3542030559*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1012220 (base 3) to base 4\nAnswer: 31320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 7*d - 4*d. Calculate the smallest common multiple of d and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 - 2460*a - 29504\/3.\nAnswer: -(a + 4)*(a + 7376)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2072224 is divided by 2248.\nAnswer: 1816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*c - 35, -11*c - v = -10*c. Is c greater than or equal to 93\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 8 + 4 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - z + 6 = 0, -5*z = -o + 18. Let f(k) = k**3 + k**2 + 2*k - 4. Let v be f(o). Suppose 3*y + 3*n - 58 = 5*n, -2*n - v = -2*y. Is y a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23726120305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 divided by -864.\nAnswer: 31\/432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/111 and -59\/446997.\nAnswer: 446997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -9 (b) -6 (c) -1 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -30. Suppose 5*s + 253 = 3*j, -g = -j - s + 57. Suppose -3*y + 87 = 2*r - j, -4*r + 361 = -y. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 6*g**2 - g - 3. Let j be c(-6). Let k be 7\/(((-56)\/(-48))\/(-7*(-36)\/168)). What is the greatest common divisor of j and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -805\/6 + 122. Find the common denominator of 47\/16 and a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -4*w + 137. Calculate the remainder when w is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -92*l**4 - 963973*l**3 + 34 + 963973*l**3 with respect to l.\nAnswer: -368*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -3880, 2, -4, 4 in increasing order.\nAnswer: -3880, -4, -2, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 438 divided by -282.\nAnswer: -73\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p**2 + 9*p**2 - 85*p**2.\nAnswer: -63*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - y - 1. Let u(q) = -17*q**3 - 102*q**2 - 102*q - 102. Determine -102*g(k) + u(k).\nAnswer: -17*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 - -25. Is ((-4458)\/p*(-6)\/(-4))\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453350647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56254800 - -10.15184.\nAnswer: -56254789.84816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*r = 3, 3*f + 2*r = -f - 22. Suppose -u = -0*u + 9. Let h be (u\/4)\/9 + 1. Which is the closest to -2\/5? (a) -4 (b) h (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/3 (b) 3 (c) -4 (d) -24329\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42398273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 6*t = -13*t. Solve -2*k + 2*z + 0*z - 10 = t, 3*z = 2*k + 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -117 - -253?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 100.3824 - -124678189?\nAnswer: 124678289.3824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2847475?\nAnswer: 5, 113899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -p**7\/280 - p**6\/60 - p**5\/40 + p**3\/3 + 2*p**2. Let j(b) be the first derivative of x(b). Factor j(t).\nAnswer: -3*t*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -453879 divided by -270?\nAnswer: 50431\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -24 (c) 4 (d) -303\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.5703 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -197*f + 198*f. Let r(d) = d**2 + d. Let u(t) = -10*t**3 + 4*t**2 + 4*t. Determine f*r(y) + u(y).\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 5835000 to the nearest one hundred thousand.\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20516155 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 - -40. Solve 0 = -4*w - p - 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 263, 55, -1, 5 in increasing order.\nAnswer: -1, 5, 55, 263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8474\/3, -3\/5, -3, -30.1.\nAnswer: -8474\/3, -30.1, -3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + p - 40 = 0. Let o(t) = -t**2 - 31*t - 33. Let g be o(-30). List the prime factors of (p - g)\/(1 + 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22770 + 22847. What is the third biggest value in -0.3, -9, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 147, -1767, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14685991 is divided by 20454.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 918764724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -0.088, -3\/5, -2\/5, -3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**3 + 4*v**2 + 3. Let o be f(-3). Let l = o + 65. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 - u - 54. Give t(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*t**2 + 0 + t**2 + 2*t**2 - 5*t**2 + (-2*t + 3 - 3)*(2*t + 2 - 2) + 289437*t + 229*t**2 - 289437*t to the form o*t + u + i*t**2 and give i.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-2 + -1))\/(1\/(-1)). Is (2550\/4)\/(5\/10) + h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8231 + -1?\nAnswer: 8230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lblnlxxxlllxnll. What is prob of picking 1 x and 1 l?\nAnswer: 32\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -416302, -0.5 in increasing order.\nAnswer: -416302, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183965 is divided by 61318?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -91 + 111. Calculate the highest common factor of 380 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 168*b + 40. Let q be j(168). Solve -q*t = -50*t - 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1486357*o**3 - 1614812*o.\nAnswer: -8918142*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 0*n**2 + 2*n - 2\/7*n**3 - 12\/7 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 3. Suppose 4*v = -4*m + 24, -1 = 3*v + 4*m - 21. Let u = 4 - v. Suppose u = -n + 3. Calculate h(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27373257.\nAnswer: 3, 3041473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122212 (base 3) to base 8.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 4)*(-4 + 3 + 2)*(-9 + 0*d + 10 + 2*d).\nAnswer: 4*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2404781 (base 9) to base 11\nAnswer: -80a763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-187)\/(-17) - 6)*-4*126\/56?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 5\/11, 1\/305, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/1 - ((-1647)\/(-3))\/(-3). Let b = p + -177. Let x(j) = -2*j + 1. What is x(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 996*v**3 + 2*v**2 + 23*v - 25. Calculate the smallest common multiple of b(1) and 18.\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/3 + 1\/3. Let f(t) = t + 1. Let r be f(x). Solve 0 = 2*h + 2*h + 4*j - 4, 5*j = -2*h - r for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o - 47. Let w be l(22). Put 0, 5, w, 289 in decreasing order.\nAnswer: 289, 5, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 t when two letters picked without replacement from ydltddlddidtjydj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 212 - -83. List the prime factors of i.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 883599 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 15*r**3 + 461*r**2 + 309*r - 818. Determine g(-30).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**2\/2 - 4*w - 222. Determine u(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11873 take away -2?\nAnswer: 11875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.4, 5\/3, 0.015 in descending order.\nAnswer: 5\/3, 1.4, 0.015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**3 + v**3 + 0*v**3 + (840*v + 178*v + 720*v - 93*v)*(2*v**2 + 3*v**2 - 4*v**2) in the form x*v**3 + a*v + g + n*v**2 and give x.\nAnswer: 1644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 10*g. Let x(w) = 11*w. Suppose -174*i + 175*i + 3*k = 22, -4*k + 38 = -3*i. Give i*z(p) + 3*x(p).\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 23*q. Let j(s) = -62*s. Let z(w) = -3*j(w) - 8*m(w). Let a(h) = -h**2 + 1. Let t(d) = 2*d**2 - 7. Let f(p) = -21*a(p) - 3*t(p). Determine z(f(u)).\nAnswer: 30*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 12:02 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -572 (b) 0.4 (c) -0.3 (d) -4 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/6 + 4\/6. Let i = 16 - 13. What is the first derivative of -3*b**3 + b**i + 3 - x wrt b?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 7.36. Let h = 5.84 - y. Round h to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 182*k - 51874. Calculate q(336).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8.8408 and -2.\nAnswer: -10.8408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 5, -u + n = -445 + 442 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 45480.2 to the nearest one hundred.\nAnswer: 45500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 615 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 5:59 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 2\/173 (c) 1.3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w - 2*w + w - w + 3. Let p be d(2). Let j(c) be the first derivative of c**4\/4 + 5*c**3\/3 + 3*c**2\/2 - 2*c - 1. Give j(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/33 (b) 2\/9 (c) -2 (d) 162\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/15888243 and 81\/2212.\nAnswer: 63552972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**4 - a**4 + 3*a**4 + 5*a**4 - 6*a**4 - 2*a**4 + (-1 + 2*a**2 + 1)*(4*a**2 - 2*a**2 - a**2) - 7*a**4 + 65*a**3 - 65*a**3 + 7 + 5*a**4 - 7.\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118719 is divided by 16954.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 177\/1829*93\/36?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by -172?\nAnswer: -10\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - -5. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*u = 92*u + 107*u + 90*u + 5*f - 302, 0 = u - f + 59 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 + 41. Which is the nearest to l? (a) -0.5 (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 2\/13, 17.2, 0.2, -1\/5?\nAnswer: 17.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**2 + 834*f + 10335 = 0. Calculate f.\nAnswer: -265, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t + 5*t - 18 - t + 4*t. Let d be x(8). Suppose 3*l - 56 = -4*w, w - 116 = -4*l + d*w. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 - -88. Let c = 104 + -68. Calculate the greatest common divisor of c and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 333 - 28. Let n = -308 + c. Let q(p) = -p**3 - 4*p**2 - 1. What is q(n)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 - -0.46. Let w be (-1)\/(1 - -5) - (-11495)\/1254. What is the second biggest value in -5, v, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 711971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 5*w**2 + 5*w + 11. Is 13 a factor of d(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -9*p**2 - 17*p + 20. Let g(d) = -4*d**2 - 8*d + 10. Let k(h) = -7*g(h) + 3*i(h). Let c be k(-7). Solve 5 = c*t + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/((-140)\/(-112) - 2\/8). Solve -2*i - 4*d = -5*i, h = -5*d for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 9:18 AM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 28\/(-126)*-27\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.5 (b) 6\/155 (c) -4 (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4685 a factor of 1489010125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 9*s**3 - 2*s**2 - 528*s - 529. Give y(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 14321.1 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1710 + -313. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114367 (base 9) to base 2\nAnswer: 10000110011011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000072711149 to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**2 + 3*k - 21. Give v(5).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-7) - 5\/(-1995)*-192?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006778 to 7 decimal places.\nAnswer: 0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((112\/(-72))\/(-7))\/(2\/3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - 107. Let a = 121.345 - -0.655. Let n = y + a. Does n = 68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/3 (b) -5\/2 (c) 0.07 (d) -4 (e) -4\/7 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 29, 35, 43, 53?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -4\/79, 6, 0, 4 in descending order.\nAnswer: 6, 4, 0, -4\/79, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302202 (base 4) to base 14.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6*g**3 - 7*g**2 + 18*g - 7. Let v(u) = -2*u**3 + 2*u**2 - 6*u + 2. Suppose 4*w = -8*w + 192. Suppose -53 = -w*m + 59. Determine m*v(y) + 2*x(y).\nAnswer: -2*y**3 - 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*f + 114*f - 53*f - 321470 = 0. What is the hundreds digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-14 + -5) - (238 + -211)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7615*x**3 + x**2 - 192*x - 31613457.\nAnswer: -22845*x**2 + 2*x - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, d: 1, e: 1, g: 1, s: 4, h: 1}. Give prob of picking 3 j.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -181 + 202. Suppose -2*y = -5*b - o, -8*y - b + 21 = -7*y. What is the greatest common divisor of y and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 7*m**2 - 12*m - 6. List the prime factors of n(9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 13) to base 3.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -6. Suppose 3*g = -g - j + 264, g = x*j + 79. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38 and 16.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -8, 0.2, 3\/8 in decreasing order.\nAnswer: 3\/8, 0.2, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 37*d + 48. Let i be b(-38). Solve -5*z - 15 = 2*a - i*z, 4*a = 3*z - 9 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2866 divide 6804227920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.69611mg to grams.\nAnswer: 0.03769611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 s when four letters picked without replacement from {c: 11, s: 5, y: 1}?\nAnswer: 55\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (580\/(-8932))\/(1\/(-33)).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*k = 136*k - 119. Differentiate k - 40 + 267*y**2 + 232 wrt y.\nAnswer: 534*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -875 minus 0.057?\nAnswer: -875.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 11*o**4\/3 + 38*o**3\/3 + 16*o**2 - 97*o - 1. Solve c(d) = 0 for d.\nAnswer: -1, -8\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**7\/42 + 2*c**6\/15 - c**5\/20 - c**4\/2 - 599*c. Factor r(h).\nAnswer: -h**2*(h - 3)*(h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25196920?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f**3 - f**2 - 4*f + 3. Let a be z(-3). Solve 0 = -130*v + a*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 664 by 112902.\nAnswer: 332\/56451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3373 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14734291336 and 4?\nAnswer: 14734291332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(119)*2*-2)\/(6*sqrt(252)*2).\nAnswer: sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 81 + -58. Let t = l + -19. Solve 5*w + 2*c - 24 = 0, w - 28 = -t*w - 4*c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 20*f**2 - 13*f + 10. Let o be (-20)\/((-3)\/12*-4). What are the prime factors of y(o)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 312 - 313. Let n = 1 - 0. What is the smallest value in -0.2, n, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114923 = 105*i - 108518 for i.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -0 + 10. What is the second derivative of -k*n - n - 2*n**2 + 4*n + n wrt n?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 3*o**2 + o - 1. Let v(m) be the first derivative of m**4\/2 + 7*m**3\/3 + 3*m**2\/2 - 3*m + 35. Give 7*r(d) - 3*v(d).\nAnswer: d**3 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 2:47 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 16*w**2 + 32*w - 38. What is b(14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 358893981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(325)*-2 + 1 + sqrt(325))**2 + ((0 + sqrt(325)*2)*1)**2 + -1.\nAnswer: -10*sqrt(13) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 10*w - 68. Let a be u(12). Suppose -4*v + 16 = 50*b - a*b, -b + 4 = v. Let 3\/7*i**3 - 3\/7*i - 3\/7*i**2 + 3\/7*i**v + 0 = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001344915344 to 5 dps.\nAnswer: -0.00134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 7110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvv when three letters picked without replacement from {c: 5, v: 11}.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q + 2. Let o be r(2). Let n be (-1)\/((-3)\/48 + o). Let g = -8 + n. Calculate the remainder when 14 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = 4*f + 2*g - 18, 0 = -4*f - 4*g + 180. Suppose 0 = -2*r - 5*y + y + 40, -5*y - f = -5*r. Solve 0*u = -3*u + r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - q + 1. Let c(k) = -10*k**3 + 5*k**2 + 6*k - 7. Let r(a) = -c(a) - 5*v(a). Is r(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/1760 and -59\/5.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4457 in 0.5, 95, -19, -2?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 41 = -28. Is h + 5\/(15\/(-12)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3840 + -3836. Which is the smallest value? (a) 1\/4 (b) 0.1707 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**3\/5 - 16011*d**2\/5 - 2635677*d\/5 - 2619669\/5 = 0 for d.\nAnswer: -5167, -169, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 2*k**2 + 2*k + 2. Let f be t(2). Suppose -f = -3*z + 75. Is 10 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 0.8, -0.4, -9 in ascending order.\nAnswer: -9, -0.4, 0.8, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 11 = -69. Suppose -25 = 5*h - 7*h - 3*v, 3*h - x = -v. Let q(b) = 2*b + b - h*b + 3*b. Let y(c) = -8*c. What is y(q(m))?\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*r - 220 - 110 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173347?\nAnswer: 173347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k - 1159485*k**2 + 1159488*k**2 + 3*k**4 - 4*k**3 + 3 + 3*k to the form f + l*k**2 + b*k**3 + g*k**4 + c*k and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**4\/12 + 2*c**2 - 41*c. Let b(t) = -t**3 - 5*t**2 + t + 2. Let a be b(-5). List the prime factors of o(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o + 50. Let c = 630 + -619. Let n be y(c). Solve n*r + 10 = r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1.2+2.6\nAnswer: 3.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 2*u - 19927 - 757, 3*y + 5*u - 8888 = 0. Is 40 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*a + 143 - 145 - 19*a - 12*a.\nAnswer: -15*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(72)*-2)**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -51\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/2, -49\/431, -2\/3, 2\/11, -0.1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(4\/3) + (-5 - -4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1335\/(-178))\/(-1 + -11)*8. Which is the second biggest value? (a) l (b) 0 (c) -2\/9 (d) 1\/5 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9.534608g?\nAnswer: 9534608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 819*b**3*h**2*x**2 + 2*b**3*h**2*x - 2*b**3*h*x**2 + 3*b**3*h*x - 2*h*x wrt x.\nAnswer: 1638*b**3*h**2 - 4*b**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*u**2 - 34070*u + 2021568 wrt u?\nAnswer: -34*u - 34070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -778*u. Let n(q) = -2*q**2. Determine n(a(i)).\nAnswer: -1210568*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*4*sqrt(95))\/(sqrt(25)\/sqrt(5)*1) + -1)*-1)**2*1.\nAnswer: 24*sqrt(19) + 2737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 8. Let l be b(9). Sort l, -5, -3 in ascending order.\nAnswer: -5, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002886366 rounded to four decimal places?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300505526?\nAnswer: 2, 59, 2546657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7881556361 minus 7928?\nAnswer: 7881548433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(l\/(l*l*l**(-1\/3)*l)*l)*l)\/l)**(-8\/13)\/((l**0\/l)\/l**(-3)))\/((((l**(2\/31)*l)\/l*l)\/l**5)\/(l**(-1)*l\/(l**(-5)\/l))) assuming l is positive.\nAnswer: l**(7610\/1209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21623, 47346, 73069?\n\"Answer: 25723*y - 4100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8a317 (base 12) to base 14\nAnswer: 4acb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 12:43 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -14*b + 31. Let i(s) = 5*s - 10. Let p(w) = 17*i(w) + 6*r(w). Let j be p(-13). Let f(c) = c**3 + 2*c**2 + c - 2. Is f(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 1\/36*h**4 + 2*h**2 + 1\/540*h**6 + 0*h - 1\/27*h**3 + 0 - 1\/90*h**5. Factor n(f).\nAnswer: 2*(f - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 6 + 6. Let p = y - -10. Suppose 4*q - 2*q = p. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 13 = -2*r - 12, 3*n = -3*r. Suppose 25 = n*v - 20. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-16)\/r*(r*r*(((r**(-14\/5)*r)\/r*r)\/r)\/r)\/r)\/(r**(-4\/3)\/r**4) assuming r is positive.\nAnswer: r**(-202\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - -27. Solve -4*a - o = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*a - 94*a + 4 = 0, -3 = 4*d - a for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/370 and -149\/60.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 11399 + 3156 = 5*m, 0 = 3*m - 3*d - 8733. What is the greatest common divisor of m and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 504, 3578, 11824, 27828, 54176, 93454, 148248?\n\"Answer: 431*n**3 + 57*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - -65 - (-3 - 3). Suppose 71*q = d*q + 452. What is the remainder when q is divided by 59?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*i + 5*u + 27 = 26*i, i + 3*u + 13 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 2 = -2*t. Let m = 11 - 4. Suppose 9*g = m*g + 40. What is the highest common factor of g and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 9:10 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4679, -4667, -4653, -4637, -4619?\n\"Answer: j**2 + 9*j - 4689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50 - -44) + (0 - 1) + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -554661 and 113976093.\nAnswer: 113421432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3*w - w - 17, 5*w = m + 17. Let v(j) be the third derivative of -1\/60*j**5 + 0*j - 1\/6*j**m - 1\/120*j**6 + 0 + j**2 + 1\/8*j**4. Determine v(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 1. Let p be q(3). Suppose 4*a - 36 = -p. Let u be (a\/(-2))\/((-2)\/2). Solve u*g - 8 = -4*i, 5*g = -0*i + 3*i - 22 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 + 20*s**2 - 25*s + 10.\nAnswer: -5*(s - 2)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 67*d**2 - 85*d. Let k(z) = 58*z**2 + 86*z. Let c(r) = 3*k(r) + 2*l(r). Determine n, given that c(n) = 0.\nAnswer: -2, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b + 16. Let z(y) = y - 2. Let t(o) = -2*o - 4. Let m(i) = t(i) - 2*z(i). Calculate j(m(r)).\nAnswer: 8*r + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*i + 152 = -43, -o + 2*i + 60 = 0. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133212271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -364, -677, -992, -1309, -1628, -1949, -2272?\n\"Answer: -c**2 - 310*c - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 25\/4 of a milligram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.88 - 0.12. Which is the nearest to j? (a) 2\/15 (b) 0.06 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*h = 25. Let d be (-8)\/h + 6\/15. Let w(x) = d*x - x - 3 + 4. Calculate w(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 55 - -22666?\nAnswer: 23054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+0.06872\nAnswer: 0.36872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 p when four letters picked without replacement from {p: 2, y: 18}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + -4)*4*-2)**2.\nAnswer: -512*sqrt(2) + 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j - 11. Let u be f(-5). Suppose 3*d - 9 = u. Solve 3*g - d + 3 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - v + 2. Let t(u) = -3*u**3 - 9*u**2 - 14*u + 16. Let s(i) = 4*n(i) - t(i). Determine s(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by (-294)\/(-24) - (-2)\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2497 - 2395.9. Let p = 109 - t. What is p rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 9 = 0, -2*d + 93 = d - b. Suppose 2*r = -x + 346, -5*x + 21*r + 1748 = 25*r. What is the highest common divisor of d and x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -1273.577402\nAnswer: -1260.577402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 559260 divided by 468.\nAnswer: 1195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.4 - -1. Let b be (4\/(-10))\/(189\/(-45) + 3). Let a = 86 + -86.3. Put a, j, b, -9 in decreasing order.\nAnswer: b, a, j, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3\/4 + 6462*g**2 + 75915795*g\/4.\nAnswer: -3*g*(g - 10931)*(g + 2315)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 530862 * -1\nAnswer: -530862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 41426271 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*2 - (7 - 4). Solve 2*c - k*i - 3 = 0, -2*i = 4*c - 3*i + 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2) + 0 + -1 + sqrt(200)*2*1)**2.\nAnswer: -84*sqrt(2) + 886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4 = 0, -3*y + 20 = y + 3*p. Suppose -6*a + 32 = y*a. Solve -x - 11 = -5*g, 0 = -a*g - x + 3*x + 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5270 * 0.012\nAnswer: 63.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -927.\nAnswer: 278.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2319758 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: Calculate prob of sequence xr when two letters picked without replacement from {n: 2, x: 3, r: 10}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 38 + 22. Suppose k + p = -6. What is the units digit of k\/2*8\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - g - 7 = 0, 5*p + 4 - 44 = -4*g. Let l = -0.2 - -0.1. What is the third smallest value in p, -2, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08613 and -17.6?\nAnswer: -1.515888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -31 and -325432179.347?\nAnswer: 325432148.347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2248 at most 241283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-65 - -67) + 6 + -20 + -16 + 3 + 2\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7*a + 2. Is 15 a factor of w(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 221706650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3386 = 28*k - 3894. Is k a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 6. Let y be z(-10). Suppose -4*u = u - 5*i, 4*u = 2*i. Suppose d = j - 0*j + 4, 0 = 5*d - 3*j - 18. Sort d, y, u in descending order.\nAnswer: d, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -161 at most -8.554?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = t + 4*t - 5*w, -2*w - 4 = 0. Let q(y) = -2*y**3 + y**2 + y - 1. What is q(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -635 - -632. Let q = -108\/245 - -2\/49. Let o = -0.1 - -5.1. Which is the nearest to j? (a) 1\/10 (b) q (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) 0.34 (c) 386\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (207\/5)\/3*(-2476)\/(-5571)*(-90)\/8?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23252?\nAnswer: 2, 5813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 147119 - 95697. List the prime factors of i.\nAnswer: 2, 7, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 184, 358, 530, 700, 868, 1034, 1198?\n\"Answer: -a**2 + 177*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 689 and 20630424.\nAnswer: 20631113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 2*x + 4641 = -9424, x + 3125 = 2*a. What is the remainder when a is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 8:06 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 37. Suppose -g - 2*m + 0*m = -68, -4*g = k*m - 256. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 - 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/(-65)*((-2109)\/(-456) - 6\/(-16)))\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 + 53. Which is the second smallest value? (a) -1\/5 (b) g (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187614614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -883*t + 1840 + 3264 = -651*t for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326230?\nAnswer: 2, 5, 17, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2028 - 2027.999991088. What is k rounded to seven dps?\nAnswer: 0.0000089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 - 130005*p + 520068.\nAnswer: -3*(p - 4)*(p + 43339)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(72) + 1))**2.\nAnswer: 48*sqrt(2) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - y**2 - y. Let l be i(-1). Suppose 3*b - 1 = 3*z + 8, -z = l. Let d = 0 + 1. Sort d, -4, b in increasing order.\nAnswer: -4, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -9*h**3 + 4*h**2. Let f(d) = -19*d**3 + 8*d**2. Let w(s) = -2*f(s) + 5*x(s). Find the third derivative of w(y) wrt y.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/3)\/(16\/2544). Suppose 7*o = 5*i + 4*o - 538, -4*i - 4*o = -s. What are the prime factors of i?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (7 - (-9 + 12 - -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-8)\/10*15\/(-6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r. Let n(z) = -2. Let w(g) = -2*n(g) - 6*x(g). Let p(i) = -i + 1. What is 5*p(h) - w(h)?\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 5:32 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**5\/110 + 3*b**4\/22 - 108*b**2\/11 + 31*b. Factor h(l).\nAnswer: 2*(l - 3)*(l + 6)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 6*p - 5*g - 110 = 0, 2*p = -4*g + 110. Calculate the highest common factor of p and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((5 + sqrt(20))*-4 - -1*6*(-1*sqrt(5) + sqrt(5))))**2.\nAnswer: 288*sqrt(5) + 644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 2*m + m - 104, 4*m - 26 = -g. Find the first derivative of g*v**3 - 18*v**3 - 3 + 7 wrt v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78 - 55. Suppose 2*m + u = 5, m + 4*u + 3 = l. Suppose 5*s + 182 - 452 = m. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvmv when four letters picked without replacement from {m: 2, v: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 129938521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -449, -12, 1\/7, -3\/7 in descending order.\nAnswer: 1\/7, -3\/7, -12, -449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -43 (b) -7 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 35349, 141484, 318385, 566058, 884509, 1273744, 1733769?\n\"Answer: k**3 + 35377*k**2 - 3*k - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1 (b) 4 (c) 50 (d) -1 (e) -95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (4\/(-30) - 438\/90)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173 + 133 = -26*t - 8*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -356\/4179 - 2\/199. Is m <= 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w**2. Let a(u) = -8*u**2 - 125*u + 51. Let r be a(-16). Suppose -15 = -3*p - 3. Let g(y) = p*y - r*y + 5*y - 7*y. Calculate x(g(j)).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y**2 - 30*y**2 + 12*y**2 + 16*y**2 + 15*y**2.\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 184 = 68. Is (-607)\/(-7) - (-12)\/i a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 94 + -60. Let r be (-2)\/4 + 119\/m. Solve -3*d = -k + d + 5, k + r = -4*d for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.4, -762, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1718 to 2 dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1557, -3235, -4915, -6597?\nAnswer: -8281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3742*s + 7485*s + 3*s**3 - 3743*s.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + l + 2)*(-2 - 1 + 4)*(-9*l - 44 + 44) + 2*l + 3*l**2 - 2*l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.14 + 3.36. Let w = 3 - h. Sort w, 4, 0.3 in increasing order.\nAnswer: w, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1199852 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*d - 24 + 8, 0 = 3*u + 2*d - 2. Solve 0 = 5*l - u*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4108093 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 x when three letters picked without replacement from {x: 4, d: 7}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*m - 611 + 233, -5*d + 4*m + 473 = 0. Solve 90*v - d*v = -4*q, -q = v - 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227280 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, r: 3, h: 5}. What is prob of picking 2 k and 2 h?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 + 650 + 13*c - c**3 + 664 - 1288 - 2*c**3 as w*c**2 + s*c**3 + a*c + x and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 4. Let l = -16964 + 16964. Which is the second smallest value? (a) z (b) l (c) 99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1601 + 1057. Let x = -364 - o. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7377, 14747, 22117, 29487, 36857?\n\"Answer: 7370*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 - 3*z + 1. Let g(s) = -7*s**2 - 9*s - 475. What is -g(w) + 3*x(w)?\nAnswer: w**2 + 478","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 4 = 5*p, -3*l - 3*p + 6 = 0. Let x be 3\/(-2 - 7)*l. Let q = 55\/2 - 27. Which is the nearest to x? (a) q (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 4*l + 3 - 2*l**3 + 4*l**3 - 2*l**3 - 2*l**5. Find the first derivative of y(k) wrt k.\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2079*d**2*q**2*z - 9*d**2*q - 86*d**2*z**3 - 2*d*q**2*z - 18*d*q*z**3 + 1520180*q**2 + q*z wrt d.\nAnswer: 4158*q**2*z - 18*q - 172*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**3 + 3*d**2 + 12*d - 12 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 104, 89, 66, 35?\n\"Answer: -4*c**2 - 3*c + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**4\/3 + 5*g**3 - 52*g**2\/3 + 12*g = 0 for g.\nAnswer: -18, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 708.6 + -708.4. Let c = 0.5 + 3.5. What is the third smallest value in 1\/2, -20, h, c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {q: 9, l: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 6*k - k = 0, 3*k = -2*p. Is -2\/35 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4827?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.225317 to 1 decimal place.\nAnswer: -42.2","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -666667*x**5\/60 - x**4\/24 + x**3 + 6*x**2. Let j be v(-6). What is j rounded to the nearest 1000000?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 56 (b) -28 (c) 1\/7 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pnnnnneqppnnqpnppnp.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -226 - -48a1?\nAnswer: 4676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhqq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12559125 divided by 502365?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 2*z - 0*z - 99, -4*t = -5*z - 132. Let j = t + -9. Let x = j - -109. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2276356775 to the nearest integer?\nAnswer: 47711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11288 * 184\nAnswer: -2076992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 0.0663?\nAnswer: -0.4337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 92 - 48. What is the greatest common factor of s and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1680 divided by 1680.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 3*o**6\/10 + o**4\/2 - 8*o. Find the third derivative of v(i) wrt i.\nAnswer: 216*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -2*t - 3*i, -t - 2*i = -1 - 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4335400 to the nearest 100000.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -50 (c) 1 (d) -0.4 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-7 + 132\/21 - (-13130)\/(-9646) - -2)\nAnswer: -53\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-382)\/(-14) + 12\/(-42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -549, -89222, -4.\nAnswer: -89222, -549, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*x + 77*x - 46*x = 96 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(720))\/(sqrt(100)*2*1).\nAnswer: 24*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 30, 32, 34?\n\"Answer: 2*s + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r. Let y(c) = 3*c + 15. Determine n(y(z)).\nAnswer: 12*z + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**4\/7 + 348448*z**3\/7 + 1990638*z**2 - 44242564*z\/7 + 29959648\/7 = 0?\nAnswer: -174184, -43, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 33051, 132278, 297671, 529230, 826955, 1190846?\n\"Answer: 33083*f**2 - 22*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -687.5 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55\/609 - -1\/203. Which is the second smallest value? (a) -0.09 (b) d (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.4, 25, 24\/72413 in ascending order.\nAnswer: -0.4, 24\/72413, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 6315\/330) + (-100)\/(-572)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -316, -352, -390, -430, -472?\n\"Answer: -b**2 - 33*b - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 8 = 2*s, 2*s + 18 - 2 = -3*t for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 126 + 142?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 8 + 8)*(-2 + 2 + 2*z**3 + 0*z**3 + 0*z**3 - 2*z**3 + (-2*z**3 + 0*z**3 + z**3)*(-3 + 4 - 2) - 2 + 2 + 2*z**3).\nAnswer: 9*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o + 6 = -4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*w - 6*w**2 + 4*w**2 - 20*w + w**2 as l*w + v + f*w**2 and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18355 + 29252. Let i = -686446\/63 + l. What is the common denominator of i and -89\/24?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15958 + -15953. Which is the third biggest value? (a) 455 (b) j (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i + 32. Let m be n(14). Suppose -u + 142 = 5*h, -3*u + 369 = -0*u - m*h. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n + n - 11 - 1. Let v be s(-6). Let j(m) = m**3 - 7*m**2 + 8*m - 12. Let x be j(v). Solve -2*w + 2 - 3 = i, -i + 4*w - 13 = x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -319 + 23?\nAnswer: -2a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1799573670?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2\/k)**(-9\/2) assuming k is positive.\nAnswer: k**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19243 + -6560. List the prime factors of f.\nAnswer: 11, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1. Let t(b) = -1 - 3 + 2*b - 3*b - 1. Let j be t(-7). Sort 4, g, j in increasing order.\nAnswer: g, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 681*s + 206*s + 60*s.\nAnswer: 947*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 160, 5, 1 in ascending order.\nAnswer: 1, 5, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*u + f - 18, u + 3 = f. Which is greater: -0.05 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70307*f - 140587*f + 70276*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*a + 352 = -4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/6 - 1334\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011011101101 (base 2) in base 11?\nAnswer: 4456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -0.2 (c) 1\/3 (d) -189864\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 12*u - 3. Let k be f(3). Let q = 49 - 27. Let h = k - q. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -31*t - 19 + 28*t - 14. What are the prime factors of h(-17)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1584 - 1584.000005484. Round b to seven dps.\nAnswer: -0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -0.1991727?\nAnswer: -0.9958635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 4*w = -1, -4*i - 50*w - 6 = -48*w for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 15*d**2 + 18*d + 18. Suppose 6*q - 4*q - 32 = 0. Let s be c(q). Let r(t) = -2*t + 49*t**2 - s*t**2 + 2*t. Let f(v) = -4*v. Calculate r(f(z)).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*v**2 - 2792646*v + 2792648*v + 3*v**2 + 5 as l*v + y*v**2 + r and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 129 - 2?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18483?\nAnswer: 3, 61, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = 5*d - 3*r - 27, -r = 2*d - 10. Suppose 5*t - 1 = d*h - 11, 0 = -5*h + t + 2. Solve h*m = 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2020011 (base 3) to base 2.\nAnswer: -11001011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ast. Give prob of picking 2 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*n = -12. Calculate the remainder when 27 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22113815\/26 or 850532?\nAnswer: 850532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 300575775 divided by 20038385?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, u: 1, l: 2, v: 1, m: 6}. Give prob of picking 1 v and 2 m.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, h: 6, s: 2, k: 2}. Give prob of picking 2 v and 1 s.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-11 + 2)*6)\/(8098\/4052 + -2)?\nAnswer: 2, 3, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -197\/2340 and -17\/30.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 14806300 to the nearest 10000.\nAnswer: 14810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4066.\nAnswer: 2, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3369299986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7637353780?\nAnswer: 2, 5, 7, 23, 2371849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3217 by -2452.\nAnswer: -3217\/2452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -100344?\nAnswer: -100353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 6 - 5 + 5)*(0*z - 3*z + 5*z + (-3 + 3 + z)*(-3 + 2 + 3) - z + 0 + 0).\nAnswer: -3*z**2 - 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-132)\/(-16))\/((-1)\/(-20)). What is the greatest common factor of p and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*c + 11 = 0. Let s(g) be the first derivative of -g**2\/2 + 3*g + 92. Let j(d) = 6*d - 16. What is c*s(p) + 2*j(p)?\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/24*((-72)\/(-8))\/(-3).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i - 5. Let p be o(4). Suppose -l = p*l - 28. Let f = 0 - -1. Solve -4*r = f + l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 815.\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*a - 334, 0 = 5*d + 2*a + 3*a - 895. Suppose -5*k + d = -0*k. Let b = 21 + k. Calculate the highest common divisor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from agaaaaaaaaagaaagaa.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from hghghngngnhhhngghghg.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 745, 919, 1223, 1723, 2485?\n\"Answer: 11*i**3 - i**2 + 100*i + 635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103*s + 167*s + 119*s)*(-s + 4 - 4) + 12 + 12*s**2 + 2*s - 12.\nAnswer: -171*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = n - 31. What is the least common multiple of 7 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 99 = 5*q. Let b(s) = -101*s + q*s**2 + 212*s - 111*s - 5 + s**3. What is b(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tddyddttzidzz. What is prob of picking 2 d?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gn when two letters picked without replacement from {n: 4, g: 2, h: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 71*h**2 - 143*h + 349. Let c be b(69). Let f be 12\/(-102)*(1 - 2). Suppose -5*r = -r. What is the closest to 1\/2 in r, f, c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.1 (b) 4 (c) -142 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 0. Let k = p + 2.999855. What is k rounded to five decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2070\/644)\/(12\/(-14)) + 3. Suppose -2*h = -5*h. Let u(q) = -q + 5. Let w be u(h). What is the closest to 1 in p, -5, w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 641, 2639, 5997, 10715, 16793, 24231?\nAnswer: 33029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 10*t**2. Let m(c) = c**2 - c**2 + 5*c**2 + 0*c**2. Calculate m(h(b)).\nAnswer: 500*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 127 and 35.\nAnswer: 4445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t + 149. Is c(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -20*y**3 + 7*y**2 + 10*y - 1. Let u = 31 - 30. Let q(o) = o**3 + o**2 + o. Let l(g) = u*n(g) - 3*q(g). Is l(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 25007, 45083, 65159, 85235, 105311, 125387?\n\"Answer: 20076*h + 4931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d**2 - 4*d - 3. Calculate s(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71 + 71 + 26*p)*(2*p - p + 5*p).\nAnswer: 156*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19856738 a multiple of 988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - s = -2, 2*s - 1 = -p + 3. Solve p = 7*d - 8*d + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -102 + 110. Suppose p - 2*r = 1, -r = -2*p + b + 3. Suppose p*h - 5*q - 435 = 5*h, -3*q = 5*h - 1165. List the prime factors of h.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-7))**(26\/9))**(-9) assuming y is positive.\nAnswer: y**182","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(931) - sqrt(19))**2 - sqrt(57)\/sqrt(108).\nAnswer: -3420 - sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 8 (b) 4\/5 (c) 29038.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -3*h**2\/2 + 3*h + 1. Suppose -g - 30 = -7*g. Give x(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (38 + (16\/28)\/(11\/154))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211407.\nAnswer: 3, 7, 10067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 5 - (2 + 1)) + (-465 - -486)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-4 - ((-2 - 4) + 9)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 751626 is divided by 105?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 289008088 and 16.\nAnswer: 578016176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r - 68 - 37 = 0 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11690 divided by 332.\nAnswer: 5845\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4004453.\nAnswer: 4004453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/11, 470004, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 + -20. Suppose o*l = 21*l - 10. Let h be 4\/10 - l\/((-280)\/(-21)). Which is the third biggest value? (a) -2 (b) h (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/6, 5, -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v\/(v\/(v*v\/v**(-5\/4))))))\/v**(1\/4)*(v**(3\/4)*v)\/(v*v*v**12) assuming v is positive.\nAnswer: v**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 4, p: 10}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 2*t**3\/27 + 4*t**2\/9 - 10*t\/9 + 10. Solve y(k) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2107*q**2 - 938*q**2 + 461*q**2 + 2025*q**2 + 1592*q**2.\nAnswer: 5247*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**5\/100 + 3*y**4\/20 + 2*y**3\/3 + 6*y**2\/5 - 149*y. Let x(d) = 0. Calculate d.\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 6*f - 3*f + 3 - 2*f.\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1315305 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 - -26. Let j be 4\/24 + (-634)\/h. Suppose -j = -2*d + 143. Does 27 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123675, -123474, -123273, -123072, -122871, -122670?\nAnswer: -122469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -1021*a + 9225. Suppose -3*u + 260 + 24 = 2*v, -2*v + 376 = 4*u. Calculate the lowest common multiple of i(9) and u.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5\/5 - 6*r**3\/5 + 8*r**2\/5 - 3*r\/5.\nAnswer: r*(r - 1)**3*(r + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/210 and 33\/56.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -2. Let y be 31 + -27 - 22040\/(-34). Let x = y - 652. Which is bigger: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 385 and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3295890.\nAnswer: 2, 3, 5, 13, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i - 67. Determine f(13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at most as big as 0.061?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -111, -183, -385, -783, -1443?\n\"Answer: -11*q**3 + q**2 + 2*q - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4323*o**3 + 4318*o**3 - 21 - 8658*o**3.\nAnswer: -17*o**3 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3385.7 * -43.\nAnswer: -145585.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s + 2. Let v be y(2). Let q be (v - -3)*1*8. Suppose 2*w + q = -2*r - 3*r, 4*w + 16 = 2*r. Round r to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8208313, -8208315, -8208317?\n\"Answer: -2*v - 8208311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156138 and 3928?\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/1212 and -31\/535300?\nAnswer: 1605900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209 = -5*l - 4*g, -2*g + 55 = 4*l - 117. Suppose -4*b - 5*b = -l. Suppose -3*f + 17 = v, -85 = -b*v - 0*v + 5*f. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/50 of a meter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 3 - (8\/7)\/(-4). Let m = 2 + 0. Let n = m + -4. What is the nearest to q in -0.5, n, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7006 - 7031. Let z(r) = 2*r**2 + 52*r + 46. Calculate z(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-4 + sqrt(1700) + ((sqrt(1700) - sqrt(1700)*2) + sqrt(1700))**2)*6 + 1)*-2.\nAnswer: -120*sqrt(17) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 23 - 0 - (9 + (-3 - 8) + 10)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 19*a + 5000 = a. Is a a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.74574396 plus -0.03?\nAnswer: -22.77574396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 129638 or 129633?\nAnswer: 129638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*f - 3043 = 0, 271*d = 269*d - f + 1212. Solve -d*h + 611*h + 24 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 2*m + 58*c - 62*c - 38, 0 = 3*m + 498*c - 503*c - 58 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 21, -4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4)\/((-264)\/528)*36\/8?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4 - 16*v + 10*v - 100*v + 2. Let q be k(-7). Let t = q + -271. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84*s**2 + 110*s**2 + 1 + 27*s**2 - 2*s - 2*s**3 - 137*s**2 to the form j*s + r*s**2 + f*s**3 + y and give r.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 862?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 5*a + 3*s - 31, -4*a - 4*s + 36 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**4 - 127*b**3\/2 - 150*b**2 - 203*b\/2 - 17 = 0 for b.\nAnswer: -1, -1\/4, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 11. Let b be w(13). Let n be (-3)\/(25\/(-20) + b). Let v = 21\/5 + n. Find the common denominator of v and -39\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -4, 0.53, -2\/7, 5, 73\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5911.786 decades in years?\nAnswer: 59117.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18153746.\nAnswer: 2, 13, 229, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 6*a + 2*a + 43266 = 0, 5*x = -3*a - 43273. Is 65\/26*x\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7624)\/34308)\/(2\/306)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597073 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 99961\/(6 - 26 - -21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-2)\/4*5*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 68)\/((-12)\/6). Let n = m + -30. Let -6\/5*i**5 - 12\/5*i**2 + 16\/5*i**n + 14\/5*i - 4\/5 - 8\/5*i**3 = 0. Calculate i.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 1. Let j be h(8). Solve -2*m - m = -j for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105, 360, 801, 1440, 2289?\nAnswer: 3360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-5)\/1 - -83. Suppose -c + z = c. Calculate the remainder when c is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17.7 + -15.4. Let o be (-25)\/30 + 0 - -1. Sort c, -3\/7, o in descending order.\nAnswer: c, o, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*w = -170, 0*x = -4*x + 2*w + 702. What is the highest common divisor of 25 and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q = 3*r + 133, 0 = 5*q - 4*r - 665. Calculate the greatest common factor of q and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11933 = -43*x + 7*x + 39979. What is the highest common factor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -34?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 4, 17, 38, 67, 104?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 5*h = 2*j + 35, -2*j + 2*h + 4 = 0. Suppose 0 = -m + 5*s - 19, 5*m + 5*s + 54 = -11. What is the smallest value in j, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43355.\nAnswer: 5, 13, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/175 + (94\/(-35) - -2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)*k*k)**(-2\/105)\/(k**(-18)\/(k*k\/k**(-22)*k*k)) assuming k is positive.\nAnswer: k**(1542\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2499 + -7471\/3. What is the common denominator of p and (282\/(-24))\/(3\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/20)\/((-1)\/10). Suppose -a + 60 = -0*a + q*l, l = 4*a - 172. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*k + 4 - 21 - 3 + 21.\nAnswer: 125*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 + 0*h + 2*h - 77 - 41.\nAnswer: 2*h - 192","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503271 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1905590 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**3\/3 - 5*s**2 - s. Let t be m(-8). Suppose 3*r + t = 5*r. Put -5, r, 5 in decreasing order.\nAnswer: 5, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5*(-1 + (-78)\/(-10)) is divided by -24*(-3)\/(-1 - -7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 3*s - 0*m - 12, -s + 6 = -3*m for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-115953)\/(-75) + (-31)\/775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3*b**(-5\/2)*(b**(-8\/5)\/b)\/b**(-1\/23))**(1\/45) assuming b is positive.\nAnswer: b**(-473\/10350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 4:57 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5 = 5*j, 5*x = -5*j - 21 + 16. Let z(w) = -1 - w**2 + 2*w**2 + 0*w**2 - 6 - w**3. Determine z(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 12*m - 174. Let n be r(-28). Let a be 51\/n - 3562\/(-20). Sort 3, -5, a in decreasing order.\nAnswer: a, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -4*b - 32, -1222*k + 5*b + 50 = -1222*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.701 * -6047.1.\nAnswer: 10286.1171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 240537 + 0.01?\nAnswer: 240537.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 18. Suppose 5*h - 5*b - 167 - 53 = 0, 4*b - 229 = -5*h. What is the highest common factor of h and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2. Let t(m) = 489945*m. Let s(n) = -472*n. Let h(w) = 3115*s(w) + 3*t(w). Give r(h(c)).\nAnswer: 594075*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072764 a multiple of 516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 4 - 4)*(-9*l**4 - 2*l**3 + 2*l**3) + (-3 + 3 + 2*l)*(2*l**4 + 0 + 0) - l**5 + 0*l**3 + 0*l**3 + l**5 + 0*l**5 - 3*l**5.\nAnswer: -8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 13 + 4 + 4 + -12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -12*s**2 + 0*s + 1\/120*s**6 + 0*s**5 + 0 - 1\/24*s**4 + 0*s**3. Let d(b) = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 4. Suppose 0 = -4*j - 3*n + 8, -4*n - 26 = 3*j - c*j. Sort 0, 1, 4, j.\nAnswer: 0, 1, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/((-432)\/90)*(-4)\/(-30).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -15875 in increasing order.\nAnswer: -15875, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/22*(29 + -25 + 2)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*c - 54*c + 1116. What is the second derivative of 3 - 24*s**4 + 5*s**4 - 1 + 182*s**2 - 2*s - c*s**2 wrt s?\nAnswer: -228*s**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 16 - 34 + 8 + 15 + 4*f**3. Let a(h) = 45*h**3 + 54. Determine -5*a(c) + 54*m(c).\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/((v\/v**(-15))\/v))\/v**16)\/(v**14*v**1\/v))**19 assuming v is positive.\nAnswer: v**(-836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(68))\/(6*sqrt(64) + sqrt(4)).\nAnswer: 6*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 16*x - 10. Suppose 2*p = -3*y + 39, -2 + 44 = 3*p - y. What is k(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 111.4? (a) -5 (b) 9 (c) 1.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 24. What is u(15)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 1 - 76*l**3 + 77*l**3 - l**2 + l**2 - 11*l. Let n(w) = -w**3 - w**2 + 12*w. Let t(j) = 5*a(j) + 4*n(j). Give t(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1 + -3 + (3*sqrt(208))**2.\nAnswer: 1870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -192*(-429)\/9152*-7\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29528104 by 4.\nAnswer: -7382026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*b + 4. Suppose -o + 2*x + 1 = 0, -24 = -0*o - b*o - 2*x. Suppose -25 = -55*r + 194 + 56. Solve 20 = -r*g + 2*w, -2*g - 8 = -o*w - 0*w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28656, -114594, -257822, -458340, -716148, -1031246, -1403634?\n\"Answer: -28645*p**2 - 3*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 3*j**2 + 5*j. Let o be n(5). Suppose 5*t + 5*f - o = 0, -3*f + 0*f = 3. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 736 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 + 44*c + 55. What is i(-4)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30*q**4 + 5*q**2 - 17?\nAnswer: -120*q**3 + 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-49)*(-364)\/(-312)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 321020, 1, 19, -11.\nAnswer: -11, 1, 19, 321020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 7548857.4.\nAnswer: 15097714.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56957 is divided by 8823.\nAnswer: 4019","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-690)\/(-4) + (-26)\/52.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 883 = 77. Let c = 67 - 43. What is the greatest common factor of c and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6810731006923 and -0.2.\nAnswer: -6810731006923.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 116.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 105827 to the power of 1\/2, to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16\/(-104))\/((-28)\/21))\/((-15)\/70).\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 257, -383, 24 in ascending order.\nAnswer: -383, 24, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 191865 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 4) + (2 - 0). Suppose -3*x = k - 2, i = -0*x + 3*x - 4*k + 8. Suppose x = -4*m + c + 33, 0 = -2*m + 5*c - 3 + 6. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1532, -3064, -4596, -6128, -7660?\nAnswer: -9192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s + 9. Let u be l(6). Let r = -20 + u. Solve -4*k = 27 - r for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 0. Let q = 0 - w. Suppose -4*b - y = 8, 2 + 10 = q*y. Sort 1, -4, b in decreasing order.\nAnswer: 1, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in 1, -4, 0.5, 1\/3, 4.135?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 146*h**5 + 257*h wrt h.\nAnswer: 2920*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 307421 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -976019.5564648 plus 5?\nAnswer: -976014.5564648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -4\/95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a second in milliseconds?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/71, 2\/9, 1\/2, 3, 0.\nAnswer: -9\/71, 0, 2\/9, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11469*f - 14380 + 7191 + 7189.\nAnswer: 11469*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 4)*3 + 9. Let q be (-16)\/t*(-21)\/14. Solve q*u - 5*m + 2 = 0, -3*u - m - 4*m = -16 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or 3\/767390?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1*-111\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69 and 597?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -227052?\nAnswer: -227052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1) + -1 - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36921151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*y - 22, 4*y - 37 = -2*u - 1. Let z(f) = -2*f**3 + f**3 - y + 10. Calculate z(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nl when two letters picked without replacement from {t: 4, a: 5, n: 6, e: 4, l: 1}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 7*w - 3. Let b be r(-5). Let k = b - 7. Let d(i) = i - 5. Calculate d(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-101783)\/(-95) + 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.286567 + -14.7205?\nAnswer: -15.007067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 459*h - 471. Let d be g(1). Suppose -v + 6 = 1. Sort v, 3, -4, d in descending order.\nAnswer: v, 3, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 10*b - 11. Let l be v(-8). Let x be (-2)\/l + -24*(-4)\/40. Find the second derivative of 585*z**x - 27*z**5 - 10*z - 14*z - 585*z**2 wrt z.\nAnswer: -540*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by (-81)\/(-945)*10*21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 w when three letters picked without replacement from hhibvtbihbbvwbvbwb.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4949913 to the nearest integer?\nAnswer: 2225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2 + (2 + sqrt(63))*-5 - (-3 + sqrt(5103) + -2)) + -5)**2.\nAnswer: 588*sqrt(7) + 12397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -1 + 0*w - 4*w - w**2 + 9*w - 1. Let d be p(4). Suppose -i - 2 = -4*g + 22, -g - i + 1 = 0. Solve d - g = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2152258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -344333 (base 5) in base 15?\nAnswer: -3a63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, -7247038 in ascending order.\nAnswer: -7247038, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g - 5. Let h(a) = -a**3 + 4*a**2 + 3*a - 3. Let v be h(4). Let o = 28 - v. Calculate the remainder when f(-8) is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 3 + l**2 - 20.\nAnswer: l**2 - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 2 + 2*p)*(1 - 1 + 2*p**2) - 4*p**2 + p**3 + 4*p**2)*(-4 + 10 + 42) to the form d*p**2 + o*p**3 + s + w*p and give o.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6012 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35508 + -17527. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -1. Suppose v + 12 = 5*v. Let r(p) = -4 + 8 - 3*p - 1 + v. Give -r(d) - 6*z(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 5:01 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10421 - -10498. What is the highest common factor of f and 23639?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k**2 - 17946*k - 16146033. Let x(l) = -180*l**2 + 466600*l + 419796860. Let h(u) = -155*o(u) - 6*x(u). Factor h(p).\nAnswer: -5*(p + 1797)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 731 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 72 and 0.94543?\nAnswer: 71.05457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/10 - 516\/(-60). Let h(a) = 3*a**2 + 5*a - 3. Let u(f) = 7*f**2 + 11*f - 7. Let l(n) = -n - 4. Let x be l(0). Let p = x - 0. Give p*u(d) + v*h(d).\nAnswer: -d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 191156 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (75\/6 - 11). What is the fifth smallest value in -1\/5, -0.5, d, 2, 1\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.54 + -28.54. Let z = 52 + w. Let p = z - 24.0062. What is p rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -525 or 16\/23?\nAnswer: -525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*m**2 - 56898*m - 23*m**2 + 56898*m.\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 11:50 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 3*y - 45. Suppose 5*k - 112 + y = 0. Find v, given that k*v - 5 + 4*v**2 + 0 + 5 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 20 = 2*x, 6*x = 2*n + x - 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 7:53 PM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2341.52667ms in weeks?\nAnswer: 0.000003871571875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 - 5796*k - 1405712.\nAnswer: -4*(k + 308)*(k + 1141)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 6, 5*z - 6 + 18 = -4*l. Let b be (-10)\/(-8) - (20\/1 - (-41238)\/(-2088)). Put z, -3, b in increasing order.\nAnswer: z, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56331 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.740616 to one dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of g**3 - 3*g**2\/2 + 2*g - 3. Let y be j(2). Let a(o) = -o**3 + y + 4*o**2 + 7*o - 5 - 2*o. Calculate a(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**3\/15 + m**2\/10 + 1. Factor w(q).\nAnswer: -q*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -4.5. Let v = j - -0.4. Is v > -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3613537\/3 != 1204513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -1, 1, -203.\nAnswer: -203, -16, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 208375 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1377150 and 1147625.\nAnswer: 6885750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*a + 39*a = -6. What is the smallest common multiple of a and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1014\/17 or -60?\nAnswer: -1014\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 2 + 10. Let f = -2401 + 2391. What is the nearest to -1 in d, -4\/5, f?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 - 21. Suppose 0 = -5*l + l - o. Let u = l + 8. What is the nearest to 0 in 5, -1, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 532 - 241. Suppose 5*n = -v + i, 8*n - 4*n = 4*v - 1164. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304*g - 3*g**2 + 304*g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 8:09 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -116*t**6\/5 - 43*t**3\/6 + 2*t**2 + 224*t. Find the second derivative of m(y) wrt y.\nAnswer: -8352*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 7*t - 7. Let n be l(5). Let r be (-5)\/(-5)*1\/n. Determine f, given that -r + 2\/3*f - 1\/3*f**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 353a764 - 5?\nAnswer: 353a75c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23374 and 130572.\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2)*2)\/((-289)\/(-289)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-20)*2\/8\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -301*o + 603*o - 153*o**2 - 302*o in the form t*o + a + w*o**2 and give w.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-5))\/(-5 + -19 + 26). Which is the nearest to -3? (a) -19 (b) n (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 14 = 2*a, -5*d + 2*d - 5*a + 27 = 0. Solve -5*f = -3*v + 25, 0 = -4*f - 0*f - d*v + 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 4*g**2 - 3*g + 1. Let w be a(2). Suppose u - 1045 = -2*v, -3131 = -3*u - w*v + v. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**2 - 7 + 114*f - 114*f.\nAnswer: -8*f**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 15*d + 5 - 3\/2*d**2. Give x(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/9 + 51*m + 458\/9.\nAnswer: (m + 1)*(m + 458)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 - 4*d**2 + 5*d**2)*(-10*d + 6*d + 30*d)*(5 - 1 - 3).\nAnswer: 130*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 726\/(-3025)*325\/(-2).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 1, -0.43, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(304) - (sqrt(304) + ((sqrt(304) - (2 + sqrt(304)*-2)) + sqrt(304) - sqrt(304))) - (3 + sqrt(304)*2))**2*-3 + 3 + -1.\nAnswer: -22802 - 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 3, -1\/24, -3, -0.37?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 34*1*(1488\/(-32))\/93\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -17.6 and -153899.\nAnswer: -153916.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3029\/6 + 505. What is the nearest to 9 in -7, 5, 1, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m - 49 + 71 = 0. What is x in -1\/3*x**m + 0 + 1\/3*x = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 7 = -5*s + 2*z, -4*s + 5*z + 13 = 0. Suppose s*w = 4 - 0, 0 = -c + 5*w. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.84 - -3\nAnswer: 2.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -614.17 rounded to the nearest 10?\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzzwkozrzory. What is prob of picking 2 y and 1 w?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1132 (base 15) to base 13\nAnswer: -1877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*j + 1 + (6*j + 21*j - 15*j)*(-1 - 4 + 1) + 0*j + j - 3*j + 1 + 3*j - 16*j - 11*j in the form c*j + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-237)\/(-12) + 1 - 2) + (-5)\/(-20)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1078680000 to the nearest 1000000.\nAnswer: -1079000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/438 and -95\/66.\nAnswer: 4818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 106357\/18320 - -8\/1145. Calculate the common denominator of -3\/496 and y.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 - -12202608267?\nAnswer: 12202608266.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 24*m**3 + 3*m**2. Let i be l(1). Let s be (4\/(-102))\/(9\/i). Suppose f + 2 = -0*f - 2*a, 0 = -f + a + 1. What is the nearest to 1 in f, s, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -12006, -5, 0, 5 in increasing order.\nAnswer: -12006, -5, 0, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 688.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4721 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (270 + 47*n**2 - 270)*(540 - 540 + 185*n**2) in the form a + h*n**3 + y*n + k*n**4 + t*n**2 and give k.\nAnswer: 8695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 0.061.\nAnswer: 0.427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 655?\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 12, -11, -68, -171, -332, -563?\nAnswer: -876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 20\/3*j**3 + 0*j**2 - 10 + 0*j. Let d(a) = 1 - 2*a**2 + 2 - 3. Determine o(d(l)).\nAnswer: 80*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p + 4*p - 3*p + (1 + 1 + 0)*(-p - p + 3*p) - 5*p + p + 3*p + (2 - 5 + 1)*(0*p + p - 3*p) + 4*p - 4*p - 3*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3759 + 3759.2. Let o = -3 - -1. Put o, -3, 4\/3, a in decreasing order.\nAnswer: 4\/3, a, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.66693 * -0.4\nAnswer: -0.266772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 943*k**2 - 1889*k**2 - 226 + 948*k**2 + 226.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/1224240 and -155\/336.\nAnswer: 8569680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/101540 and 47\/60924?\nAnswer: 304620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 8:34 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 374.22 to zero decimal places.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -n - 3*o + 4*o, 4*n - 5*o + 66 = 0. Let k = n - 4. Let l be (-3)\/6 + k\/(-20). Which is the closest to -1? (a) 1 (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7344582 and 168?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - (sqrt(143) + 3*2*sqrt(143) + sqrt(143)))\/(1*sqrt(275))*2.\nAnswer: -14*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 5*h**2 + 8*h + 6. Determine b(5).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -50669 divided by 1\nAnswer: -50669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*g + 803 = -1215 - 622 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-72)\/81 + 1\/(-9). List the prime factors of n + 0 + 3 + 29.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2 - 2*g + 1. Suppose -2*d - d = -5*v + 1, -7 = -2*v - d. Let c be o(v). Let s = -6 + c. What is the remainder when 7 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - 709.9768?\nAnswer: -676.9768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -90571, -362457, -815611, -1450033, -2265723, -3262681, -4440907?\n\"Answer: -90634*l**2 + 16*l + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t\/(t**(2\/5)\/t))**(-30))**(-26)\/(t*t**(3\/2)\/t*t**(-1\/5))**(2\/55) assuming t is positive.\nAnswer: t**(772187\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 6*b**2 + 3. Let g be k(6). Is (-13)\/(-39)*331*g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/25, -0.2, 2\/87, -6 in descending order.\nAnswer: 2\/87, -2\/25, -0.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 4. Give c(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.9*-45.\nAnswer: 175.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 3*g**2 + 3*g + 2. Let k = 9 - 14. Let t be i(k). Let h be t\/(-5) + 8\/20. Let r(v) = v + 10. What is r(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 1\/6, 3, -2\/9, -0.4, 2\/13, -3836?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h. Let b(j) = -j - 1. Let w(l) = -l - 2. Let d(s) = 4*b(s) - 2*w(s). What is a(d(v))?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, -337, -502, -655, -790, -901, -982?\nAnswer: -1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 20 = -0*w. Suppose -3*o + 4*n = 2*o - 25, -25 = -w*o - n. Suppose -r = o*s + 3*r - 41, -4*r + 32 = 4*s. Solve 11 = -4*y - s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -163*f**2. Let h(v) = 108 + v + v**2 - v - 108. What is p(h(b))?\nAnswer: -163*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -7, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 1031*v**2 + 5*v + 4. Let p(i) = 1549*i**2 + 8*i + 6. What is 8*g(q) - 5*p(q)?\nAnswer: 503*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-800)\/(-431680)*71*54\/(-15).\nAnswer: -9\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*p**3 + 11*p**3 + 1 + 170*p**3 + 33*p**3 - 48*p**3.\nAnswer: 119*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 63, -5 in increasing order.\nAnswer: -5, -1, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 + 0*x**2 - 4*x**2 + (-2*x - 3 + 3)*(-2*x - 3*x + 6*x) + (1 - 1 - x**2)*(3 + 0 - 1).\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -274 - -351. List the prime factors of x.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of v**4\/16 - 3*v**2\/2 + 4*v + 1305. Solve c(p) = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 g when two letters picked without replacement from {b: 1, m: 5, q: 2, g: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 - 18*t**3 + 3*t**2 + 20*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.12, -2\/69, 5, -1\/3?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80 - -99. Let w(c) = 92*c - 366. Calculate the remainder when w(5) is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 4:28 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5035919437?\nAnswer: 23, 311, 704029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 656093929, 656093928, 656093927, 656093926?\nAnswer: 656093925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a decade in months?\nAnswer: 1470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 8, 2\/17, 2\/13?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.95 - -0.95000038. Round k to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 17 + -1 + -13 + -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f - 343. Let u(p) = 9*p**2. Calculate u(q(o)).\nAnswer: 144*o**2 - 24696*o + 1058841","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -31548174867376?\nAnswer: 31548174867376.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91954, 185712, 279460, 373192, 466902, 560584?\nAnswer: 654232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 172*w**5\/5 - w**4\/6 - 241*w**2 - 367*w. Differentiate l(m) with respect to m.\nAnswer: 2064*m**2 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 4)*(5*t**5 + 0*t**5 - t**5) - 22267*t**2 + 22267*t**2 + 116*t**5 + (4 - 2*t**2 - 4)*(2*t**3 + 2*t - 2*t) - t**5 - t**5 + 0*t**5.\nAnswer: 118*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 946 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 4*u - 5*u - 4, 0 = -3*u - 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*5*4\/40?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3074227174 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3545 divide 1043892605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 8*d**2 + 2. Let t be u(-8). What is the closest to -3 in t, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.055 - -0.255. What is the nearest to -1 in -0.2, -4, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 958 = 9*a - 815. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u. Let g = 3 - 3. Let k(m) = m - 3. Let s be k(3). Let b(h) = g*h + s*h + h. Determine o(b(d)).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 155\/62*18\/15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4433 (base 6) in base 9?\nAnswer: -1363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 7 (b) 2 (c) -0.2 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**6\/15 + 35*s**4\/8 - 565*s**3\/6 - 1415*s**2. Differentiate x(r) with respect to r.\nAnswer: -24*r**2 + 105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**4\/12 + 11*r**3\/6 - 7*r**2 - 27*r. Let q be w(10). Sort q, 9, 2.\nAnswer: q, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - (7 + -1 - 6540). What is f rounded to the nearest one hundred?\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261\/(-63) - 5\/((-15)\/12)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 319 + -322. Let g(c) be the third derivative of -c**6\/120 - c**5\/30 + c**4\/12 + c**2. What is g(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (12\/(-8) + (-28)\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*g + 20 = 4*r, -2*r = -4*g + 8. Suppose 2*v - r*v - 2*v = 0. Solve v = 5*w + 2*p - 16, 8 = 4*w + 2*p + 2*p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hcccccchhcccccchccch.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 - -84. Let r = x - 21. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-3)\/(15\/770). Let q be (-114)\/(-22) + (-28)\/d. Solve 0*n + 5*n - 4*s = 13, -4*n + q*s = -5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1210700*d**4 + 2*d**3 - 39655*d - 3 wrt d.\nAnswer: -14528400*d**2 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -23878\/17995?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**4 + k**3 - 3*k**2 + 6. Let i(n) = n**3 + 1. Let a be -36*(-4)\/40*-5. Let u = a + 24. Let p(f) = u*i(f) - j(f). Factor p(c).\nAnswer: -c**2*(c - 3)*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 221204 (base 5) to base 6\nAnswer: 55315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82860 and 1080.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) 16.814 (c) 1 (d) 2\/9 (e) -2\/13 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 222509749?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5559 = -5*c. Suppose 16*f - 2979 - c = 0. Does 35 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22078602, 44157202, 66235802, 88314402, 110393002, 132471602?\n\"Answer: 22078600*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 68\/(-238) - 132\/(-21)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11\/19 (b) 1 (c) 2 (d) -1 (e) 5 (f) -6 (g) 3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*r + 511 - 511 - 306*r + (2 - 1 - 6)*(-r + 5 - 5).\nAnswer: -299*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.19 (b) -3 (c) 15884.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 132324.36 rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77002742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z. Let b(s) be the third derivative of -53*s**4\/6 - 130*s**2 + s. Give b(k(n)).\nAnswer: 212*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**2 - 5*q - 4. Let z(w) = -w**2 + 1. Let c(f) = -s(f) - z(f). Let m be c(3). Suppose m = 3*j - 6*j + 204. What are the prime factors of j?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3854 - 15.5084. What is d rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -247, 2960, 40 in decreasing order.\nAnswer: 2960, 40, 1, -247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 41\/2. Find the common denominator of u and -27\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/3 + 0 + -2. Suppose -c*n = -5 - 20. Let l(f) be the first derivative of -f**2\/2 + 12*f + 357. What is l(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29 and 28594?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4771, 2\/7, -1, 4 in ascending order.\nAnswer: -4771, -1, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 217, 238, 297, 400, 553, 762, 1033?\n\"Answer: s**3 + 13*s**2 - 25*s + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - 2. Let k = 0.08 - -5.92. Let z = k + t. What is the closest to 1\/4 in 0.3, z, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 3)*(174*t - 187*t + 108*t)*(-7 + 2*t + 7)*(2*t - 6*t + 3*t).\nAnswer: 190*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*l = -276215 + 274382 for l.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22473915383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 79041 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(2700) + 1 + 3*sqrt(2700) + sqrt(108)*2 + (sqrt(270)*-1)\/sqrt(10))**2.\nAnswer: -249620 - 1290*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**4\/8 - i**3\/2 - 7*i**2. Let y be -3 - ((-3)\/6*-4 - 3). Let l(k) = -10*k - 10. Calculate y*l(x) + 7*p(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (0 - 4) + (1 - -16)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -16*s + 72. Suppose -s*b - 3*c = -23, 2 = c - 3. Solve -18 = -2*x + b*y, -4*x + 2*y + 37 = 9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 10*f**2 - 2*f - 5. Let t be g(-1). Is t bigger than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 547 at most as big as 2413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8117?\nAnswer: 8117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - ((1 - -3) + -12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135 + -39508133359.\nAnswer: -39508133494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 11*f**2\/2 - 5*f + 1. Suppose -17*h + 2*h + 315 = 0. Calculate the remainder when c(6) is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 8888.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c*t - 6*c - 4706*t**2 + 375 wrt t?\nAnswer: -2*c - 9412*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-2))\/4)\/(4\/32)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -497*s**3 - 63*s**2 + 63*s - 63. Let g(b) = -16*b**3 - 2*b**2 + 2*b - 2. What is 63*g(a) - 2*m(a)?\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j\/j**(-1\/4)))\/j*j)\/j)\/j**(10\/9))**11 assuming j is positive.\nAnswer: j**(-935\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 8*o + 2212 = 2120, o = -5*k + 29. Factor -2\/21*m**5 + 0*m + 0*m**2 + 2\/7*m**k + 0 + 0*m**3.\nAnswer: -2*m**4*(m - 3)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*n**4 + n**4 + 2*n**2 + 10*n**2 + 10*n**2 wrt n?\nAnswer: 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvzzzzzz. What is prob of sequence vz?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z + 29705 = -306026. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xdppxdxddxdppdddxdd. What is prob of sequence xxpd?\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rozz when four letters picked without replacement from {r: 1, z: 3, o: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 355*h**2 - 338*h**2 + 898 - 218*h**2 - 1119*h**2 with respect to h.\nAnswer: -2640*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40824522.7 to the nearest ten thousand.\nAnswer: 40820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.017858 at least -7931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 14.0250793 * -2\nAnswer: -28.0501586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5460867 - 27?\nAnswer: 5460840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 - f**3 - 2*f**3)*(2*f - 2*f + 2*f).\nAnswer: -6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 10*s - 11. Let r be a(-9). What are the prime factors of (r\/12)\/((-1)\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/19, 4, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 43\/((-1333)\/496).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/13)\/(l*(l*l\/l**(-1))\/l*l))**8)**29 assuming l is positive.\nAnswer: l**(-11600\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m - 89. Let y be n(-18). Let t be 42\/(-84)*(-3 - (-2 + y)). Solve -21 = 4*j - t for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*b**2 + 45*b**2 - 29*b**4)*(-3*b - 5 + 8 + 14*b).\nAnswer: -319*b**5 - 87*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39 and 48?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1159*m - 920603 = 4941*m - 255703 for m.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 - -2) + 50\/(-12). Let x = o + 15\/2. What is the closest to x in -3, -4, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1105, 660, -89, -1148, -2523, -4220, -6245, -8604?\n\"Answer: -s**3 - 146*s**2 + 1252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-4) + 1\/(-28). Let y(j) = -j**3 - 13*j**2 + 15*j + 8. Let q be y(-14). Let f be (0 + q\/(-9))\/(14\/(-3)). Sort 0.2, t, f.\nAnswer: t, f, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by 8.\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2631 (b) 4\/5 (c) -2 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q - 5630 = -45930. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18973, 18253, 17515, 16753, 15961, 15133, 14263?\nAnswer: 13345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13736306?\nAnswer: 2, 17, 404009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chh when three letters picked without replacement from cchccchhccc?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 364998?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 11366 = 4*d - 8*d, -4*v = -4. Suppose -8*h + 5551 = -d. Let r = -142 + h. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 45*c**2 - 91*c**2 + 47*c**2. Let z(p) = 9*p. Calculate z(b(k)).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102784059 by -1268939.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwgwaaawwaaaaw. Give prob of picking 2 g and 1 a.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 218312047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2 (b) -1 (c) 1\/10 (d) -0.42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -6. Let f be (-8)\/5 + 1 - 6\/(-10). Suppose h + 3*p = -5 - 4, f = -2*h + 2*p + 14. Solve o + 8 = h*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 d, and 1 p when three letters picked without replacement from {d: 2, p: 9, c: 4, u: 1, j: 1}.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - 2*s - 17*s - 2*s - 4*s.\nAnswer: -23*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*o + 24 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) 5\/28 (c) 0.3 (d) -5 (e) 4 (f) 1\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 790633 is divided by 1387.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*j + 132 = 451, 20 = 4*j. Find the common denominator of (r\/27 + -3)*1 and -1\/21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i. Let y be 3 - (-3 + 4) - 0. Let m(x) = -13*x - 4*x + 21*x - 22*x**y + 18. Let v(l) = -m(l) + 4*n(l). What is the derivative of v(b) wrt b?\nAnswer: 44*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 2303322?\nAnswer: -2303321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4130, 6626, 9122?\n\"Answer: 2496*k + 1634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 13, c: 3}. Give prob of sequence ccc.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24505 + 39?\nAnswer: -24466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**7\/105 - 19*v**6\/60 - 43*v**5\/10 - 123*v**4\/4 - 126*v**3 - 5*v**2 + 58*v - 3. Solve t(p) = 0 for p.\nAnswer: -7, -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 3.4. Let t = 13 + -6. Let m = 9 - t. What is the nearest to -0.1 in y, m, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j - 10. Let n be z(-3). Solve n*d + 5*r = 12, 2*r + 13 = 5*d + 6*r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2767928, -5535861, -8303794?\n\"Answer: -2767933*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5 - 54*y**4 - 623*y**3 - 1080*y**2 - 512*y.\nAnswer: y*(y - 64)*(y + 1)**2*(y + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 14*q**2 - 15*q + 3. Let p(i) = 5*i**3 - 7*i**2 + 5*i - 7. Let f be p(2). What is l(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82 + -80. Which is the third smallest value? (a) 0.4 (b) o (c) -5 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w*w*w**(-10)*w*w)*w\/(w*w**(-5)))**(-1\/4) assuming w is positive.\nAnswer: w**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5}. What is prob of picking 4 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2696\/21 + 389\/3. Let t be ((-48)\/40)\/(3\/(-10)). Suppose -5*d = -t*d - 1. Which is smaller: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - u = -6*r - 9, -2*r + 3*u = 13. Let j be 1*(0 + -3 + 6). Let l be -2 - (j\/1)\/(-3). Put r, -4, l in increasing order.\nAnswer: -4, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 502919784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 - 51. Which is greater: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21*(-583)\/18921*(-8)\/(-22)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 286\/(-715) + (-3364)\/(-10) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -9.7, -6\/23, -1\/8?\nAnswer: -9.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/4 - 25*x**2\/4 - 42*x - 36.\nAnswer: -(x + 1)*(x + 12)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137 = 2*d - 129 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 480 and 444180?\nAnswer: 3553440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(6)\/sqrt(3) + sqrt(2)) + 1)**2.\nAnswer: 16*sqrt(2) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1704 or 25558\/15?\nAnswer: 1704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(16) - 4*sqrt(256) - sqrt(16))\/(-1*sqrt(8)*-4))**2 - (3*sqrt(2) + 0 - sqrt(8)*-5)).\nAnswer: -192 + 78*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*2\/16*(-18)\/90*-8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 687 - 908. Is -222 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -16*f - 7. Let p be n(-4). What is the greatest common factor of p and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 80 = -6*f. Let a = f + 19. Does 21 divide a\/2 - 486\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5274 by -8.\nAnswer: 2637\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 5:42 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -447*-1.15\nAnswer: 514.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -426558, -853351, -1280158, -1706985, -2133838, -2560723?\n\"Answer: -x**3 - x**2 - 426783*x + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) -2\/2577 (c) -0.1 (d) -85 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v + 1. Let i(h) = 21*h**2 - 84*h + 42. Let s(a) = -i(a) + 42*j(a). Let q(z) = 140*z - 71*z - 72*z. Calculate s(q(b)).\nAnswer: -189*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-67 + (-4061)\/(-62))*(-4)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -4*m + 13, -366*c = -369*c + 5*m + 73 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 32 = -0*z. Let d = z + 11. What is the greatest common divisor of 24 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*y + 2)*(-2 + 2 + y + (-3*y + 4*y - 2*y)*(-5 + 5 - 2) + 3*y + 0*y - 4*y) as c*y**2 + n + d*y and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 8*o + b, o = -149*b + 150*b + 14 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**3\/3 + u - 1. Let x be c(3). What are the prime factors of ((-12)\/x)\/((-24)\/160)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 + 57?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/6, 78, -1\/4, 6, -5 in ascending order.\nAnswer: -5, -1\/4, -1\/6, 4, 6, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v - 2. Determine y(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6266*h - 188463. Give l(-30).\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/b**(-8))\/b)\/b*(b*b**(-6))\/b)**(16\/3) assuming b is positive.\nAnswer: b**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2. Let j(r) = -288895*r**2. Give j(g(c)).\nAnswer: -288895*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 + -10 + 0 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xuu when three letters picked without replacement from {g: 4, x: 2, r: 1, k: 3, u: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*h + 2207287 = 513291. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**2\/7 + 2568*g\/7 + 732 = 0.\nAnswer: -854, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*k + 3*f = -1582592, 1582592 = -4*k - 2*f. Let p = k + 3159523\/8. Let m = 713 + p. What is the common denominator of 51\/16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 6 = -3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -132, 3, 1 in increasing order.\nAnswer: -132, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 987.\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 4*j**2 - 4*j**2)*(2*j**2 - j**2 + 0*j**2) - 2*j**5 + 0*j**3 + 0*j**3 - 2*j**5 - 5 + 5 - 8*j**3 - j**5 + 11*j**3 + 2*j**5.\nAnswer: -4*j**5 + 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 1672.\nAnswer: 5\/1672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2 = -7, -83 = 2*j - 3*s. Let i = j - -40. Let m be (-2 + (-476)\/(-240))*-3. Is m bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u**5 - 4827*u**4 + 878017*u**3 - 61773497*u**2 + 1447917602*u + 1510573952 = 0. What is u?\nAnswer: -1, 62, 64, 617\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 1504*d - 11975. Give l(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 22 = 4*b, t - 22 = 2*b + 3*b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2\/4 - 55*d\/2 - 605\/4.\nAnswer: -5*(d + 11)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -73\/6? (a) 0 (b) 9 (c) 4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 61 + 59. Suppose 0 = -2*j - 18 - t. Is 3\/12 + j\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -240 - 243 + 3*n**2 + 481 - 76*n + 51*n to m*n + k + g*n**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77823, 73, 1, -14.\nAnswer: -77823, -14, 1, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u + 9. Let d(b) = -2*b - 5. Let t(j) = 5*d(j) + 3*x(j). Calculate the remainder when 4 is divided by t(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, c: 5, p: 7}. Give prob of sequence xp.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 520 and 2848040?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5842 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 533860277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/7 in -0.4, 0.2, -4, -9\/70, -43, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -34 + 16 - (13 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 1745 = 11*u - 787, 4*k = 2*u - 464. Calculate the least common multiple of u and 33.\nAnswer: 7590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, u: 3, t: 7, n: 2}. Give prob of sequence ntu.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/525 and -31\/21?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a0a7275 - 3?\nAnswer: -3a0a7278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2079992 = -5*p, -2*p - 2*y - 3*y - 832010 = 0. Round p to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22002 + -22002. Let k(a) = -a + 4. Let i be k(3). Let r be i\/(-8)*(-8)\/(-6). What is the closest to r in 1, 2\/11, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 + 1. What is the smallest value in 3, u, 1\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*w**3 - 22*w**3 + 63*w + 2*w**2 - 66*w - 55 as n*w**3 + o*w + v*w**2 + t and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 289*f**3 - 235926*f**2 - 38362599*f - 1431207360 = 0?\nAnswer: -1221\/17, 960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1381 + 54a4?\nAnswer: 4123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - z**2. Let l(s) = 2*s**3 - 4*s**2 - 2*s + 4. Let w(d) = h(d) - l(d). Let k be w(3). Factor -n**2 - n + 4*n**2 - k*n**2.\nAnswer: n*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*r**5 - r**5 - 6*r**5 - 15*r - 8*r**5 wrt r?\nAnswer: -240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(85)\/(sqrt(30)\/sqrt(150)) + 4 - (-2*(2 + (sqrt(68)*-1 - sqrt(68))))**2).\nAnswer: -1095 + 69*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - 3. Let m be 15\/(-25) + 2082\/70. Let x = -1822\/63 + m. Which is the third biggest value? (a) -0.4 (b) x (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*(sqrt(204) + (sqrt(204) - (sqrt(204) - sqrt(204)*1*-3))))\/(-6*((sqrt(12) - (sqrt(84)*1 + sqrt(84))\/sqrt(7)) + sqrt(108)\/(sqrt(9)*-2))).\nAnswer: 8*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -30, 4, 63, -5, -44.\nAnswer: -44, -30, -5, -1, 4, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (-44)\/165*(-16100)\/(-224)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 61807?\nAnswer: 61806.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-2)*(17 + -19). Suppose -n*q + 21 = -64. Calculate the remainder when q is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 3) + (-6 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -68612281 to the nearest ten thousand.\nAnswer: -68610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -50\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (938\/(-268))\/(-1*1*1\/2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1937 less than or equal to -1938?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-530)\/(-159))\/(2 + (-8)\/6). What is the closest to -1 in 0.4, -0.4, 0.08, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 3937?\nAnswer: 7874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3668 - 1153. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20429.902 to the nearest ten.\nAnswer: 20430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -13*v**7\/42 - 37*v**6\/10 + v**5\/20 + 923*v**4\/6 - 438*v + 2. Find the third derivative of q(p) wrt p.\nAnswer: -780*p**2 - 2664*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3027 * 233.\nAnswer: -705291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -11*q**2 + q + 3. Let f be v(6). Let p = f + 391. Let y(r) = 2*r + 5. Let j(t) = -3*t - 6. What is p*y(s) + 3*j(s)?\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**4 + 45594*t**3 - 273591*t**2 + 410400*t = 0.\nAnswer: -45600, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5935, 5759, 5529, 5239, 4883, 4455?\n\"Answer: -q**3 - 21*q**2 - 106*q + 6063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeyyyyeyyyeyyyyyyy. What is prob of picking 4 y?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 13. Which is the nearest to -1? (a) -2\/9 (b) y (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/18*(8 + 1) - 5. Calculate the common denominator of d - (2 + -15 - 6\/(-16)) and 35\/17.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 123 - 15. Let z be (2\/c)\/((-1)\/(-8)). Let b = 0.5 - 0.5. What is the nearest to b in z, -0.5, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 606878267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**4 - 5*n**3 - 34*n**2 + 4*n. Let y(x) = -3*x**4 + 4*x**3 + 35*x**2 - 5*x. Let a(w) = -5*i(w) - 4*y(w). Find the third derivative of a(j) wrt j.\nAnswer: 48*j + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3344292 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 13*h**7\/21 - h**6\/120 + 2*h**5\/5 + 4*h**3\/3 + 210*h**2. Find the third derivative of t(b) wrt b.\nAnswer: 3120*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672975000 rounded to the nearest 1000000?\nAnswer: 673000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 10 = 2*q - 36, -15 = -3*g - q. Suppose 3*p - 133 = -4*m - 27, -2*p = g. Let y = -5 + m. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1322.\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7248278, 14496518, 21744758?\nAnswer: 28992998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -16363, -3 in descending order.\nAnswer: 0, -3, -16363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1272*y + 17556949 - 17556949.\nAnswer: -1272*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 2*u = -4*x - 461, 0 = 4*x - u - 613. Let f = 8 - -31. What is the remainder when x is divided by f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (32 - (53 + -14)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 29240856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 130\/13)*(3 - -1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-2 - (2 + -2)). Let u be (1214\/f)\/(4 + -5). Let i = -3011\/5 - u. Find the common denominator of 151\/6 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/15, -52, -3\/5, 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -11*h - 41. Suppose 16*m = 11*m - 20. Let l be c(m). Solve 9 = -2*p + l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r**(-5\/7))\/r*r*r)\/r)\/r*r)\/((((((r*r**2)\/r)\/r*r*r*r)\/r)\/r)\/r*r)*((r*r**(-8))\/r)**(-2\/71) assuming r is positive.\nAnswer: r**(-740\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + 120?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(2\/25))\/m)**32*((m*m**(1\/17))\/m)**(-26) assuming m is positive.\nAnswer: m**(438\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 516455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**6 - 31*f**5 + 5*f - 345*f**2 - 18*f**5 + 25*f**3 - 2*f + 48*f**5 wrt f.\nAnswer: -240*f**3 - 60*f**2 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**3 + 2092*c**2 - 93506*c + 96. Determine o(48).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 296\/453 + 2\/151. Sort 0.5, o, -0.2, 5 in increasing order.\nAnswer: -0.2, 0.5, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 0.94, -25, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-98)\/(-34) + -3 - 520\/(-85). Calculate the remainder when 125 is divided by 1\/n - 380\/(-24).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 4*z**2 - 3*z - 18. Let h be n(-3). Suppose h = -3*r - 12, -4*p = -3*r - 477 - 67. Is 19 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, y: 1, j: 2, g: 3, r: 3, h: 1}. What is prob of sequence ig?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-102)\/(-4) - 7\/14. Do 24 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 p when three letters picked without replacement from {m: 1, a: 1, w: 6, p: 1}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/6 (b) 5 (c) -3\/7 (d) -844 (e) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**26*j)**(-50) assuming j is positive.\nAnswer: j**(-1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 4 (c) -4 (d) -2\/9 (e) -6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 7:48 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337006.\nAnswer: 2, 167, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -22633 less than -1.35?\nAnswer: 22631.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**5\/20 + w**4\/8 + w**3\/2 + 39*w**2. Let y be a(-1). Suppose -2*r - 1 = -4*g + 15, -4*r = -y*g + 7. Solve o - r = 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1573\/30 - -263\/5. Let i(x) = 2*x + 5*x - 5*x**2 - x**3 - x - x**2 - 7. Let y be i(-7). Which is greater: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13084042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(175) + 1*sqrt(175) - sqrt(175) - sqrt(175)) + 5)*-1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11 (b) 0.05 (c) 1\/6 (d) -2 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = p + 6*l - 10, 3*p + l - 30 = 0. Suppose 2*u = 5*w - p, 2*w - 5*w - 2*u = 10. Suppose 0 = 3*h - 12. Solve w = -0*m + h*m - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -7. Let f be (10*(-8)\/20)\/(-1). Put -8, f, j in decreasing order.\nAnswer: f, j, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 276493\/6 + -46191. Let i = m + 109. What is the second smallest value in -2, i, -1, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.003 - -0.012752.\nAnswer: 0.009752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 5. Let g(t) = -t**3 - 9*t**2 - 12*t - 28. Calculate the remainder when z is divided by g(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(17) + sqrt(153)*-3)**2 - (0 + sqrt(68) + sqrt(68) + 2 + sqrt(68))**2)*-4 + 0.\nAnswer: -1892 + 160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 15 = 0, -3*q + 5*j - 14 = -194. Calculate the remainder when q is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19646*q**5 - 35*q**4 - 8*q**2 + 148040518*q wrt q.\nAnswer: 392920*q**3 - 420*q**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 57380097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 11*l - 40. Let q be (-3 - (-2 - -1)) + 900006. Suppose 0*s + l*s = 4*a + q, -5*s + 2249995 = 5*a. What is s rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -15. What is the third derivative of x**3 + 2*x**3 + x**2 + x**o - 8*x**3 wrt x?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52725 and 17575?\nAnswer: 52725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1908, -2\/7, 1, -20, 0.22, 4?\nAnswer: -1908","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 24 - 18 = 4*w, 2*l + 5*w + 43 = -1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d. Let v(r) = 209*r**2 - 66*r + 132. Let w(h) = 16*h**2 - 5*h + 10. Let p(u) = -5*v(u) + 66*w(u). What is z(p(x))?\nAnswer: 22*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*l - 60*l - 15 = 0. Let p be (-1 + 1*5)*1. Differentiate -p - 5*a - 3*a + l + 1 with respect to a.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**5\/120 - z**3\/12 + 3*z**2\/2 + 3*z. Let k(q) be the first derivative of s(q). Let k(a) = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9778 + 9777.9. What is the second smallest value in -60, -8, b?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4811615?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -22 (b) 3\/7 (c) -64 (d) 1\/5 (e) 41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = -371 + 171. What is the remainder when 96 is divided by ((-10688)\/l)\/16 - 3\/(-5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 5*f + 2*h, -f - 2*f - 13 = h. Let c(o) = -o**2 - 2*o + 3. Let i be c(f). Suppose i = 4*j + j - 40. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 0*t - 16. Suppose 5*r - 29 - t = 0. Solve 3*d + 3 + r = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a hour in seconds?\nAnswer: 52200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 215 + -211. Let b be (-5)\/((2\/(-6))\/((-5)\/(-15))). Solve b*m = -z + 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -398490902 divided by -2.\nAnswer: 199245451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14758*g = 14595*g + 1956 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 n when two letters picked without replacement from {f: 2, k: 1, n: 6, x: 1, s: 2, g: 5}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 125*p = 30*p - 314 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-2)\/6*-1). Let v be (4\/(-50))\/(1\/5). What is the closest to 0 in v, 1, c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.802728t to nanograms.\nAnswer: 9802728000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 21*m**2 + 67*m - 14. Let s be u(-17). Let x be (s\/(-9))\/(((-28)\/(-4))\/63). Sort 2, x, -4.\nAnswer: -4, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-11 - (-8 + -1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96297664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - 18. Let i = c + 22. Let a = 3 - 1. What is the nearest to -0.2 in a, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 613, 621, 643, 685, 753, 853?\nAnswer: 991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -544 + 516. Let n = 20.7 - 19.7. What is the nearest to n in j, -1, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-10)*2075\/(-498)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2852*l + 2733*l = -2499 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/34)\/(-1) - (29 - (-11385)\/(-391)). Which is bigger: b or -36\/107?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 24*z**2 + 131*z + 18. Give p(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462 is divided by 60?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -188 + 122. Let t = -41 - v. Calculate the remainder when 48 is divided by t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.3 - 0.7.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**4 + 29*z**3 - 34*z**2 - 8*z = 0. What is z?\nAnswer: -1\/5, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.98 - 1. Let v = -6612 + 6612.02. Let y = z + v. What is the second smallest value in y, 0.5, -1\/6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 597\/(-1560) + 4500\/14625?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1005 to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*-1*(-124)\/8. Suppose -d = -4*g - 6. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7860.5401 - 7864.6. Round h to 1 dp.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66691830 divided by -59?\nAnswer: 1130370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 8*k**2 + 11*k - 2. Let p = -1266 + 1260. What is o(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (3 + (-17 - (-2 + 1) - -5)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*j + 1. What is the units digit of 6\/(-9) - (-14)\/j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(187)\/(sqrt(11)*-1) + -1 + 5 + -3 + sqrt(17)*-1.\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide (6402\/44)\/((-2)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 22221, 22224, 22231, 22242?\n\"Answer: 2*x**2 - 3*x + 22222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/151 or 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 874 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1272\/106*22\/24.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 425078 and 514.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 591 + 599. Calculate the greatest common factor of 70 and n.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g\/g**(-7\/3))\/g*g)**(14\/11) assuming g is positive.\nAnswer: g**(182\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 2:00 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2046613\/10 - 204926. Let g = 265 + n. Let i be (4 - -1)*(-2)\/(-6). Sort g, 3, i.\nAnswer: g, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-12)*(-4 - -31)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46 in 5, 1\/8, -788?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (0 + (-3 - -6 - 0)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 34 - 85 = -4*f. Suppose -6*v = -v. Suppose -12 = -u - v. Solve -f*r - u = -6*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w**3 - w - 1. Let r be m(-1). Let b = -1 + r. Let v be 4 + ((-4)\/(-2) - 5). Solve -b*i - v = 11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -163*k**2 - 478*k**2 + 2042 - 2042. Let u(s) = 2*s. Give l(u(o)).\nAnswer: -2564*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/12)\/((-21)\/(-9) - -1). Let s(v) = -4*v. Let q be s(6). Let f = 29 + q. Which is the smallest value? (a) 1 (b) f (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/3, 3\/7, -1\/9, 0.02.\nAnswer: -1\/9, 0.02, 1\/3, 0.4, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 11*v**2 + 10*v - 1. Let q be c(-10). Let a(y) = -2*y + 2. Let k be a(q). Find the common denominator of (-5)\/60*(-824)\/k and -87\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -b**3\/6 + b**2\/2 + b. Let d be 4\/(-10) - (-27)\/5. Let y(o) = -3 - 4*o + 1 + d*o. Determine 6*a(z) + 4*y(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -153\/4*x**4 - 55\/3*x**3 + 25*x**2 + 116 - 5\/6*x**6 + 0*x - 53\/5*x**5. Let j(a) = 0. Calculate a.\nAnswer: -5, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.50932 to 0 dps.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1031415?\nAnswer: 3, 5, 7, 11, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/152113235 or 0?\nAnswer: -2\/152113235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/1010 and -107\/16836498?\nAnswer: 84182490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (26\/(-9))\/((-2261)\/(-646)*(-4)\/(-63))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-2))\/(40707\/275903)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -182*t**2 + 156*t + 156. Let s(v) = -v**2 + v + 1. Let r(l) = 156*s(l) - u(l). Let j(y) = -y. Give j(r(i)).\nAnswer: -26*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 4*g**2 - 5\/6*g**3 + 1\/12*g**4 - 19*g + 0. Let d be r(6). What is the highest common divisor of 21 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3840 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7304437.\nAnswer: 7, 31, 41, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26734482 and 79272.\nAnswer: 106937928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 497 - -7633?\nAnswer: 801a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 385*g**3 + 36 - 94 + 30.\nAnswer: -385*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 n when three letters picked without replacement from avninnvlndnvvan?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**2 + 2 - 2 + (-15*m - 3*m - 3*m)*(146*m + 153*m + 113*m).\nAnswer: -8654*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12110 (base 3) in base 11?\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0194 - 2.8844. Let h = s - -3.2. Let l = h - -0.229. Round l to 2 decimal places.\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from hvhvvhvvhhhhhhvhhh.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 118 and -0.5?\nAnswer: 118.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2086, -8332, -18740, -33310, -52042, -74936, -101992?\nAnswer: -133210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g**4 + 96*g**3 + 15432*g**2 + 40290773 with respect to g.\nAnswer: 12*g**3 + 288*g**2 + 30864*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9\/100 + 13\/300. Let i be -1 - 0 - (0 - 2). Is i less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ws when two letters picked without replacement from sswssssssssssswsss?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 458 = -146. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/9, -2107, -12, -2\/11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 345, 689, 1041, 1407, 1793, 2205, 2649, 3131?\n\"Answer: h**3 - 2*h**2 + 343*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 + (16 + (-23 - 5) - 3).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4635 a factor of 732206768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 24*z**2. Let q(k) = -2*k**2 - 2*k - 3. What is q(j(u))?\nAnswer: -1152*u**4 - 48*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 0.03, 0.2, -5, 0.97?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = r + 10. Find the first derivative of -8 - r*i + 26 - 16*i wrt i.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**7\/210 - i**5\/40 - i**3 - 4. Let q(u) be the third derivative of d(u). Find the second derivative of q(j) wrt j.\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - a**3 - 10 + 10*a**3 - 17 + 17 + (-3*a - 2*a**3 + 3*a)*(0 + 2 - 1).\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z - 186685 = 65539. Suppose -32*b + 25*b + z = 0. What are the prime factors of b?\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 65.78169 millilitres?\nAnswer: 0.06578169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = z + 94, 2*w - 2*z - 36 = -0*w. What are the prime factors of -2 + 362\/10 + w\/(-95)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**3*i**2*x - 3*c**3*i - 14*c*i**3 - 356*i**3*x - 2*i**3 with respect to x.\nAnswer: -c**3*i**2 - 356*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ncfrcnnancnffna. What is prob of sequence cafr?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.22 - 0.1141.\nAnswer: -0.3341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.30132 centuries to months.\nAnswer: 103561.584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73285258*0.3.\nAnswer: 21985577.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/30*6 + (-150)\/(-125). Solve 5*v - v = -w + 21, -6 = -s*v + 4*w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 2*y - 448, -2*v - 2*y + 588 = 2*v. Is 13 a factor of v\/16*4 - (-1 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137 = -33*o - 61 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 24450\/1170 + 1\/(-9*3\/567)\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 125*m**3 - 1 - 65*m**3 - 65*m**3 + 3*m as p + q*m**2 + h*m**3 + s*m and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 - k**3 + 8*k - 21*k**4 - 12 - 28*k**4 + 73*k**4 - 25*k**4 to p*k**2 + l*k + g*k**3 + q + o*k**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15164 + 32?\nAnswer: -15132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45770 and 920?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6832, -26668, -59726, -106006, -165508, -238232, -324178?\nAnswer: -423346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvjvkkvjkjjjj. Give prob of sequence vvjj.\nAnswer: 21\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 3*b - 4*b. Let n(w) = 8*w. Let i be n(b). Suppose i = 2*u - 7*u - 2*s + 553, -5*u + 561 = 4*s. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**4\/8 - 141*a**3\/8 - 951*a**2\/4 - 693*a = 0.\nAnswer: -22, -21, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 44773, 43862, 42945, 42022, 41093, 40158, 39217?\n\"Answer: -3*f**2 - 902*f + 45678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*j**3 + 5*j**3 + 3*j**2 - 24*j**3 + 9*j**3 wrt j.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.06, -11, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/6 - 205*n**2\/6 + 1467*n\/2 - 7425\/2.\nAnswer: -(n - 11)*(n - 9)*(n + 225)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 616945272 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2\/15))\/(u\/(u\/((u**(-2\/7)\/u*u)\/u))))**34*(u\/(u\/(u*(u\/u**1)\/u)))**(6\/5)\/(u\/(u\/u**(-2\/21)*u)*u**1) assuming u is positive.\nAnswer: u**(7694\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9358 - 9006. What is the remainder when w is divided by 61?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 310870074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -232, -343, -412, -427, -376?\n\"Answer: 2*n**3 + 9*n**2 - 152*n - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490202 is divided by 23342?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 + 3*a**2 - 3*a**2)*(4 - 4 - 2) + (-5*a + 0*a - 3*a)*(-2*a + 0*a + a).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x + 3*x - 4*x + (3 - 1 - 1)*(3 + x - 3))*(43*x**2 + 29*x**2 - 9*x**2) in the form s*x + a*x**3 + i*x**2 + v and give a.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/4 - 203917896\/(-208) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*n + 225 - 596 = 0 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136545 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 25991.11 + -0.18\nAnswer: 25990.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*o - 13, q - 2*o = -4*o + 33. Let k = 64 + q. Let p = k + -4. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -34 + 3c6?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2020 and 15756?\nAnswer: 78780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 9:14 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 561495 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0328 and -0.3.\nAnswer: 0.00984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-10) - (-13)\/5. Let h be -1*(y + -2) + 7. Let w = 9 - h. Solve w*j = -0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -42, -46, -50?\n\"Answer: -4*z - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/(((-4)\/40)\/((-54)\/(-330)))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j - 16. Let o be v(4). Factor 47*k**5 - 42*k**5 - 10*k**2 + 0*k**4 + 10*k**o - 5*k**3.\nAnswer: 5*k**2*(k - 1)*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-2 + 4)*4. Let l be 108\/r + (-9)\/(-6). Suppose l*v = 10*v. Solve v*a = 3*a - 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -4 (c) 2678326\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(175) - 2*(sqrt(175) + (sqrt(175)*1 - sqrt(175)))) + -3 - -3*(-5 + sqrt(847) + -1)*-3)**2.\nAnswer: -7038*sqrt(7) + 35928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61929 + -187696\/3. Let b = a + 637. Solve 0 + 8\/3*f + 10\/3*f**3 + b*f**4 + 16\/3*f**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 + 0*h**2 + 8*h + 11*h.\nAnswer: -h**2 + 19*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxwffuufuwuufxwwuux. What is prob of sequence fu?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-12))\/(i\/((i*i*i\/(i*i**(-2)))\/i))*(i\/(i\/i**(20\/3)))\/i**27 assuming i is positive.\nAnswer: i**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p. Let c(g) = 231*g**2. What is s(c(u))?\nAnswer: 1155*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(2\/21))\/(v\/(v*v**(1\/7))))\/(v*v*v**0*v)**(-20) assuming v is positive.\nAnswer: v**(1307\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 51315 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*u = -19*u - 36. Let i(l) be the third derivative of 0*l - 4\/3*l**3 + 1\/3*l**5 + 0 - 1\/2*l**u + 4*l**2. Determine j, given that i(j) = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214110991 to the power of 1\/2, to the nearest integer?\nAnswer: 14633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-21) + (436\/28 - 3). What is the third derivative of 8*s**6 - 11*s**6 + 117*s**6 + x*s**2 + 80*s**2 wrt s?\nAnswer: 13680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 791598 times 36\nAnswer: 28497528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -50\/268661 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/231*14\/6.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/14 + (32\/(-28))\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 430, 944, 1834, 3226, 5246, 8020, 11674?\nAnswer: 16334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13125 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.2 + 4. Let p = -0.4 - m. Let n = 5.4 - 5.7. Which is the smallest value? (a) n (b) 0.4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 2*d = 2. Let o be (d\/(-3))\/(3\/(-45)). Let s = o - 1. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 e, and 1 f when three letters picked without replacement from {f: 8, p: 4, e: 4}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/((-4)\/(-3))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2. Suppose -3*x - 12 + v = 0. Let w = -95158 + 95157.5. Put 1, x, w in decreasing order.\nAnswer: 1, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6664 and 18707514.\nAnswer: 1666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82797 is divided by 16205?\nAnswer: 1772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7813932 divided by -411\nAnswer: -19012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -181 - -180.9999216. What is y rounded to six dps?\nAnswer: -0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c + 4*c - c + (3*c - 2*c + c)*(-5 + 2 + 1).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**2 - 1740*j - 252300 = 0 for j.\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6000550 (base 8) to base 12\nAnswer: 63a520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b + 118*b - 35955 = -119*b. Solve -153*a + b*a = 36 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -64732?\nAnswer: -1\/16183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -213006, -423379, -633752, -844125, -1054498, -1264871?\n\"Answer: -210373*o - 2633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120374308 and 916.\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5+7763137108\nAnswer: 7763137103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -38 + -1831110?\nAnswer: -1831148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5316*i + 5316*i + 157*i**2 + (-i + i - 5*i)*(-4*i + 2*i + 0*i) to w + q*i + n*i**2 and give n.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-198)\/429 - ((-336)\/52 - -4). Let c(q) = -q**3 - q**2 + q. Let r be c(-2). Solve 3*k + 2*d = -r, d + 1 = -o*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 788166221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43943, 87861, 131745, 175595, 219411?\nAnswer: 263193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-165)\/99)\/(10\/(-522)). Solve 59*z + 500 = s for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5774, -11717, -17660, -23603?\n\"Answer: -5943*p + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 395569 - 227618. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1071*w**4 + 254*w.\nAnswer: 12852*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, y: 17}. What is prob of picking 1 o and 1 y?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 5*q + 14. Let p(z) = 12*z**3 + 22*z**2 + 8*z + 18. Let a(r) = -r**3 - r**2 + r - 1. Let o(x) = q*a(x) + p(x). Factor o(v).\nAnswer: 2*(v + 1)**2*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2082790*d**4*p**2 - 4*d**4*p + 16*d**2*p**2 - 51*d**2*p - 2*d**2 - 17*d - 80*p**2 wrt d.\nAnswer: -49986960*d*p**2 - 96*d*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lotnnonntt. What is prob of sequence tl?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 675.0088 seconds?\nAnswer: 675008800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 615690 + 9?\nAnswer: 615699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2.901066 kilometers?\nAnswer: 290106.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 154183 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: Suppose s + 7*v - 5286 = 12*v, 10537 = 2*s - 3*v. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58278 divided by -2.\nAnswer: -29139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 32\/5 of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26747372*u**3 + 112621046*u**2 + 2 wrt u?\nAnswer: -160484232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -6*l**2 - 4*l + 2*l**2 + l**2 + 1 + l**3 - l**2. Let v be p(5). Calculate the common denominator of -65\/9 and (-232)\/45 + v\/(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17337521 to 2 dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 892 - -4688. Is 124 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a century in years?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 230 and 2610620?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -s + 51, -366*s = -281*k + 285*k - 14286 for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 12, 2*a + 3*a + 1 = -j. Let o = a + 3. Suppose o*b - 34 = -8. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 9*f**2 + 8*f + 46. Let w be k(10). Suppose 22*c - w*c + 17 = d, -2*c = 4*d - 26. Solve -3*y + 0*y = -j + 5, 3*y + d*j = -11 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 115580881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*l + 5*l + 18, 3*l = -3*o - 3. Let k = 5 + -4.7. Let m be (2\/8)\/(225\/(-120)). What is the biggest value in k, o, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 2*p + 1. Let f = 98 - 81. Suppose h = -5*y + 17, -4*h = -y + 4*y - f. Determine l(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 9 + 9 + -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*k - 4*s + 11, 2*k - 2*s = 4. Suppose f + 2 + k = 0. Let b = 6 - f. Calculate the lowest common multiple of b and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 16. Suppose 3 = 3*n - q. Let w(a) = 3*a - 1. Let i be w(2). Sort n, 0, i in ascending order.\nAnswer: 0, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 176*c + 510.\nAnswer: 2*(c + 3)*(c + 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.008 + 8.192. Let l = -8.1 + t. Let o be ((-12)\/(-14))\/3*-1. Put l, 5\/2, o in descending order.\nAnswer: 5\/2, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61719.75ms to hours.\nAnswer: 0.017144375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 4*n = -72. Suppose -10*v - 20 = -1190. Let x = -63 + v. What is the greatest common factor of x and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 2*l = 8, 3*l + 2169 = 3*f + 2202 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016788084 to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 381, 778, 1173, 1566?\nAnswer: 1957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 + 60. Solve 2*d - 1 = a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 27053259\nAnswer: -2705325.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -0.17, -3, -4.1, 0.09, -186?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2, 106, -3, 2 in decreasing order.\nAnswer: 106, 6, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137843849.\nAnswer: 11, 13, 963943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 63441 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -61, -0.4, 1, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrsrrsbrbsprrpp. Give prob of picking 1 p and 1 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = 2958*y - 1479*y - 1467*y - 3*t, -9 = y - t for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 4:55 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.92642199 to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 6:53 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 1 = -3, 5*y - 20 = -3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29120 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6902.0199 + -6902. What is n rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 937? (a) 178 (b) 0.2 (c) 0.09 (d) -4 (e) 0.1 (f) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2667 times -0.5?\nAnswer: 0.13335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -9, 1521, 0.9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 103?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((6 - 4 + 4)*(-3 + 1 + 5) + (2 - 1 + 1)*(1 + 2 - 4))*(2 + 2*n - 2) to i + g*n and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/37280992 and -1\/23840.\nAnswer: 186404960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 12*v + 5. Determine g(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u - 4. Let t(j) = 3*j + 5. Let i(b) = -5*s(b) - 4*t(b). Let y(g) = 3*g - 10. Calculate i(y(a)).\nAnswer: -6*a + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 188*k**4*l - 4385*k**2*l**3 - 3825609*l**3 + 1 with respect to k.\nAnswer: 752*k**3*l - 8770*k*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 3:58 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 21. Suppose -4*t = w - 8, w + 0*w = -3*t + 6. Which is the smallest value? (a) w (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -14, -38785, -3, 5 in descending order.\nAnswer: 5, 0, -3, -14, -38785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xixxxxxehphch. Give prob of sequence phe.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 4. Let s = 151 - t. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 195966936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 306.11 and 0.146.\nAnswer: 44.69206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h + j + 21, 2 = 2*h - j + 11 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n + 34 = -80. Which is smaller: 3 or n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + 3. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + w + 2860 = -4*w, -3*j + w + 1720 = 0. List the prime factors of j.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133.954*0.6.\nAnswer: 80.3724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -11. Suppose -3*k + o - 20 = 0. Let l = 1 - -4. Which is the third smallest value? (a) k (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 414932.44 - 7.\nAnswer: 414925.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 25*j**2 - 75*j - 7. Let l(a) = -a**2 + 2*a - 1. Let h(t) = -4*g(t) - 92*l(t). Suppose h(m) = 0. Calculate m.\nAnswer: -6, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 10695*c - 2. Let q(o) = -6*o + 1128. Let x(m) = -m + 141. Let d(a) = -q(a) + 8*x(a). Determine d(h(u)).\nAnswer: -21390*u + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/9*(-9)\/(-4)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p**2 - 3*p**2 + 4*p**2)*(193 - 669*p - 357 + 171) in the form v*p**2 + a*p**3 + l*p + x and give a.\nAnswer: 1338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*r - 103*r + 38485 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 m when three letters picked without replacement from mxxxxaxxxxaaa?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, j: 14}. What is prob of sequence jjo?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1001100101110000010111 (base 2) to base 14\nAnswer: -496235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**5 + 264*d**4 - 992*d**3.\nAnswer: -4*d**3*(d - 62)*(d - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -106?\nAnswer: -3\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 - 3*u**4 - 2*u**4)*(-187 - 441 - 746).\nAnswer: 4122*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 11:33 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrr when three letters picked without replacement from vvvvrrrrrv?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/7))**46\/(q**(3\/7)*q**(-1)*q))\/((q**(-2)*q*q)\/(q\/(q*q**(8\/5)*q)))**(-20) assuming q is positive.\nAnswer: q**(269\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 31*k - 4. Let j(v) = 30*v - 5. What is 2*j(a) - 3*q(a)?\nAnswer: -33*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m**(-2)\/m*m))**2*(m*m**(1\/2))**(-13\/5))**(-17))**(1\/35) assuming m is positive.\nAnswer: m**(-17\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - 9. Let c be (3 + -1)\/((-12)\/d). Solve -2*x - c*k - 8 = -k, -5*x + 2*k - 13 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.6*-15.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 5 - ((-1 - 4) + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (103\/(-927))\/(1\/3). Let j = -0.817 - -0.317. Which is the nearest to k? (a) j (b) 7 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113201329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m + 28. Let p be b(-23). Solve -36*k + 12*k - p = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1.3, -0.03 in decreasing order.\nAnswer: 1.3, 0.1, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 31*t - 10 + 14 as r + c*t and give c.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/sqrt(2)*-1*2)\/(sqrt(405)*-2*-5).\nAnswer: -sqrt(7)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2203*o - 831. Is f(-2) a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*v + 104 = -52*v. What is the derivative of 2*r**2 - 94 + 67 - 2*r**2 - v*r**3 wrt r?\nAnswer: -78*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -56*x - 315. Let u be o(-7). Calculate the highest common factor of u and 2002.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 10:36 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 536438.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 951798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 - (-78)\/(-12))*-65178. Let g(p) = 6*p - r + 32589. Let w(q) = 13*q. Determine w(g(c)).\nAnswer: 78*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/(-3))\/(15522\/(-21492)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -3*j - 15, 4*q = 22*j - 27*j + 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -60 or -1004\/17?\nAnswer: -1004\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 94, -7 in increasing order.\nAnswer: -7, -3, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332098078?\nAnswer: 2, 13, 12773003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.10053 + -6.1. Round b to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -2, -2\/17, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b**2 - b*f**3 - 5806*b*f**2 - 25428*f**3 wrt b.\nAnswer: 6*b - f**3 - 5806*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 9. Suppose 6 = 2*c - c - b, 5*c - q = -3*b. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 122 = 4*m, 5*g - 3*m = 244 + 54. Find the common denominator of (-1 + -1)\/(10\/g) and 37\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2826523000 rounded to the nearest one million?\nAnswer: 2827000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 0.0167.\nAnswer: -0.00668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + i**2 + 6*i - 1. Let d be h(3). Let r be 288\/(-40)*d\/4. Let a = -11\/5 + r. What is the nearest to 1 in a, 4, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -134873334172\/6973 - -19342225. Let l = z - 1\/367. Is l less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436 is divided by 49*(5 - 4\/1).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209076815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.32242 to 2 decimal places.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 110563 + -75980. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3\/5 - 357*z**2\/5 - 702*z\/5.\nAnswer: -3*z*(z + 2)*(z + 117)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by 4178173.\nAnswer: 25\/4178173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from gkgg.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17590004 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32.1 + 32. Let p be 911\/340 - (1 - -1). Let j = p - -6\/85. What is the third biggest value in j, r, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -8 + 1 + 9 + 27 + 0?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (48\/30)\/((-1)\/10). Suppose v = -0*v - 10. Let g = v - p. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290186107?\nAnswer: 17, 19, 898409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + d = 3*w - 20, w - d - 8 = 0. Suppose -3*g = 2*s - 177, 5*g - w*g = 3*s + 48. What is the highest common divisor of 6 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 6*j + 4. Let b be m(6). Let y be 98\/(-3)*3*b\/(-8). Let q = 3 + y. What is the highest common factor of 78 and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63055 (base 7) to base 10.\nAnswer: 15475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5407.53 - -5477. Let n = b + -73.5. Let h = n + 0.03. Put -1\/8, -1, h in descending order.\nAnswer: -1\/8, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4f8 - -19e?\nAnswer: -35a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/4))**(7\/5))**(-18\/7)\/((((w\/(w*w\/w**(1\/4)))\/w)\/w)**(-10\/13))**16 assuming w is positive.\nAnswer: w**(-4283\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -137204*z**4 - 2078*z**2 + 38*z wrt z.\nAnswer: -3292896*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77\/13 or 6?\nAnswer: 77\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 2*b + 435*b**2 - 302*b**2 + 397*b**2.\nAnswer: 530*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*r = -11, -7*h + 4*h = 2*r - 26. Let a(f) = 2*f**2 - 3*f - 10. Is a(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -149*h + 28. Let b be y(-3). Calculate the highest common divisor of b and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 3 - 4)*(m + 0 + 0) + m - 1 + 1 - 2*m - 3 + 3)*(-22 - 36 - 27) + (2 + 3 - 7)*(-33 + 33 + 8*m) in the form l + h*m and give h.\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**3 + 34*u**2 - 120*u + 1199. What is z(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.06 - -0.86. Let p = d - 1. Let c = p - -0.2000009. What is c rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-2)\/24*18\/12*-3\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 363 + -293. Suppose a = -m + 222. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464904 is divided by 38742.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 - 5*u**2 + 5*u + 7. Let b(f) = f**3 - 5*f**2 + 6*f + 6. Let y(d) = -3*b(d) + 2*s(d). Calculate the smallest common multiple of 8 and y(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 g when three letters picked without replacement from txxjtxxtjjgaxvx.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - g + 2. Let k be a(0). Suppose 0 = -u - k*i + 3*i - 14, -29 = u - 4*i. Put -4, 0, u in decreasing order.\nAnswer: 0, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 442522, 442518, 442512, 442504, 442494?\n\"Answer: -x**2 - x + 442524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1066.76 - 1067. Let d = -48.7 + 49. What is the fourth smallest value in r, -3\/4, -0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 19*t - 2. Suppose 2*h - 7*h + 70 = -4*o, -2*h = 4*o. Calculate the remainder when f(1) is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) -3 (c) 0.1 (d) 1427 (e) -11 (f) 0.33 (g) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 1928.66968.\nAnswer: -1928.46968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/3*((-60)\/(-50))\/((-42)\/(-105)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 10:13 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x = -13 + 2 + 11 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 126 + 25?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m - 4 + m**2 + 1 - 5 + 1. Let o be a(8). Suppose -118 = -5*x + o. Calculate the highest common factor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7\/3 (b) 7 (c) 1\/61 (d) 3 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(27) + 0 + (sqrt(60)\/sqrt(4) - sqrt(15) - sqrt(15))\/sqrt(5))*4)**2 - (-4 + -4*sqrt(3) + sqrt(6)\/(sqrt(14)\/sqrt(7))))*3.\nAnswer: 9*sqrt(3) + 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-6))\/(4\/(16\/(-3)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a*a*a**(-3\/5)*a))\/a*a)\/a*a)\/a)\/a*a**(-1\/11) assuming a is positive.\nAnswer: a**(-192\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/3 - 257974*y\/3 + 37171751.\nAnswer: (y - 257541)*(y - 433)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -434?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, 0.4, -1514?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*g*i**3*n - 17*g*i*n**3 - g*n**3 - 130*i**3*n**3 + i**2*n**3 wrt g.\nAnswer: 5*i**3*n - 17*i*n**3 - n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/((s*s\/(s\/(s\/(s\/s**0))))\/s*s))*s*s)**12 assuming s is positive.\nAnswer: s**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3684, -14712, -33088, -58812, -91884?\nAnswer: -132304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2\/3 - 404*p\/3 - 400\/3.\nAnswer: -4*(p + 1)*(p + 100)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**6\/120 - 5*x**5\/16 - 9*x**4\/16 + 25*x**3\/24 + 13*x**2\/4 + 4269*x. Factor a(l).\nAnswer: (l - 26)*(l - 1)*(l + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/71)*y**(1\/3)*(y\/(y*y\/(y*y\/(y\/(y*y*y\/y**(-1))*y))))**(-2\/107) assuming y is positive.\nAnswer: y**(6961\/22791)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2132300113 (base 4) in base 14?\nAnswer: -12cd95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1003 or -993?\nAnswer: -993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 86135871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 - -5) + 1 + 20. Suppose -c = 4*c - p. Suppose n = -n. Solve n = -g + c*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13662901 + 20829033. Let b = m - 4876132. Round b to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + -7. Let z = -12 - g. Suppose -1 = -3*i + z. Calculate the remainder when 29 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 21 - -22 - 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.07957 and -10.1.\nAnswer: -10.02043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -21*q**6\/40 - 2*q**5 - 17*q**4\/8 + q**3 + q**2 - 40*q. Solve j(m) = 0 for m.\nAnswer: -1, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2993440171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.5314777 weeks?\nAnswer: 321437712.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from coooccsooxocooxs. Give prob of picking 1 s and 1 c.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - n = 208, 9*y - 2*n + 214 = 4*y. Let d = -1084 - -1105. Let b be (-1 - 5)*d\/y. Solve b*l - l - 10 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 301*v**3*y - 1554*v**3 + v**2*y + 3*v*y + v + 409*y + 19 wrt v?\nAnswer: 1806*y - 9324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - b**2 + 0*b**2)*(-5*b + 5*b + b) - 3*b**3 + 0*b**3 + 5*b**3 - 1 + 39*b - 3*b**3 - 39*b.\nAnswer: -2*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7996437l to millilitres.\nAnswer: 799.6437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7750560, -7750556, -7750552, -7750548, -7750544?\n\"Answer: 4*j - 7750564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*y**2 + y**2 + y**2 + 0*y + y**2 + 0*y - 6*y**2 + 2*y**2 + 5*y**2 + (3 - 3 - y)*(0 + 0 - y) + 41*y**2 - 19872*y + 19872*y.\nAnswer: 39*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00471484472 rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**9)\/a**(-3)*((a\/a**0)\/a)\/(a*a\/(a*a\/(a\/(a\/a**(-13)))*a*a)) assuming a is positive.\nAnswer: a**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 13*b + 119*b - 52*b - 26 + 71*b. Is k(2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (2 + 1 - 4) + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 b, and 1 a when four letters picked without replacement from {a: 1, j: 11, b: 3}.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1712596500 rounded to the nearest 100000?\nAnswer: -1712600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 87 = -4*g, 0 = -g + s - 18 - 0. Suppose h = -2*h + 120. Let q = h + g. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/7, 1\/12, 37, -2\/7, 1.4, 1\/2, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 143084738 plus -46?\nAnswer: 143084692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10085345 and 2395.\nAnswer: 2395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 11*t**2 - 10*t - 13. Let x = -49 - -36. Let w be d(x). Let j = 664 + w. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(18\/(-9)) + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-96)\/(-80) - (-139)\/5. Suppose s*w - 35*w + 1224 = 0. What is the greatest common factor of w and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55982633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - ((-194)\/(-10) + (-10)\/25). Let s = 170 + a. Is s a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 + 6*d**2 - 7*d + 6. Let b(j) = j**3 + 5*j**2 - 6*j + 5. Let g(n) = -3*b(n) + 2*r(n). Suppose -97*m = a - 93*m + 6, 4*a - m = 10. Give g(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 5*d**3\/3 - 5*d**2 - 840*d - 1045. Determine l, given that r(l) = 0.\nAnswer: -12, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of k**6 - 7*k**2\/2 + 4. Find the second derivative of a(t) wrt t.\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5*x - 3. Let i be q(7). What is i rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 75 = 4*h - 9*h, -3*h = 4*p - 10. Suppose -u - h = 4. Is (0 + u\/(-6))*33 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 266, 331, 398, 467, 538, 611, 686?\nAnswer: 763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1572 = -15*c + 1517 - 2789 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-339)\/4)\/(9\/6))\/(((-17766)\/(-188))\/(-189)).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8415909 to the power of 1\/2, to the nearest integer?\nAnswer: 2901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 45636.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 - 11867.\nAnswer: -11866.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 42, 1 in ascending order.\nAnswer: -5, -3, 1, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**7\/630 + 13*i**4\/6 - 40*i. Let q(a) be the third derivative of c(a). Suppose q(r) = 0. Calculate r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2029834.559391 + -2029836. Let f = j - -1.44. Round f to five decimal places.\nAnswer: -0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -15) + (-5 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7899907 is divided by 254?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 927204.6mm?\nAnswer: 92720.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -28a4a (base 12) in base 15?\nAnswer: -11c64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5468363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 6:30 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*z + 33. Let l(k) = z - 6 - 4 + 4 + 3*k. Calculate l(-8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 22 (b) 0.3 (c) 21 (d) -28 (e) 1 (f) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**5*t)**(11\/3)*(t\/t**4)**(-3\/8))**(-2\/127) assuming t is positive.\nAnswer: t**(-185\/508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 81, 87, 85, 75?\n\"Answer: -4*a**2 + 18*a + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q + 68. Let w be v(-21). Suppose 0 = -0*y + w*y + 4*z - 2396, 2 = -2*z. Is 32 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 31?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54473619.\nAnswer: 3, 18157873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-100)\/(-8))\/(2\/8). Suppose 0*d + 2*d - f = 0. Suppose -2*z - 3*z = d. Put z, -3, 3 in ascending order.\nAnswer: z, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 1\/2*l**3 + 0 + 6*l**2 - 17\/70*l**7 + 1\/12*l**4 + 0*l**5 + 0*l**6 - 3*l. Differentiate s(w) wrt w.\nAnswer: -204*w**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - -48. Suppose 0 = 3*r - 45 - p. Let s = 79 - 49. What is the smallest common multiple of r and s?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -192 + 273. Let g = w + -81. Factor 2\/5*b**3 + 0 + 0*b**2 + g*b.\nAnswer: 2*b**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + -44. Let f(r) = -36*r - 2. Let w(j) = 37*j + 3. Let u(i) = 5*f(i) + 4*w(i). What is the units digit of u(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*q**2 - 1147*q + 573*q - 13*q**2 + 574*q.\nAnswer: -39*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -17*c + 12. Let m(i) be the second derivative of 2*i**3\/3 - 3*i**2\/2 - 18*i - 4. Calculate 9*m(h) + 2*o(h).\nAnswer: 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7940933.97 * 0.5\nAnswer: -3970466.985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 287, 5, 39 in decreasing order.\nAnswer: 287, 39, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-178*t + 73*t + 0*t)*(t + 5 - 5 + 2*t**2).\nAnswer: -210*t**3 - 105*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1596872 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 4. Let v = m + 14. Calculate the lowest common multiple of 8 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 m when three letters picked without replacement from {m: 4, b: 6, x: 2, q: 1, t: 2}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334*b + 330*b + 48 = 0. What is the least common multiple of b and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 489045 to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -8, 3, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -5. Suppose -657 = -3*q + 5*s, 5*s + 0*s = -h*q + 657. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26.94 + 0.06. Let o = t + -33. Put 0.4, 0, o in ascending order.\nAnswer: o, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 2 + (2 - 1 + 0)*(6 - 3 - 1))*(-w**2 + 0*w**2 + 3*w**2).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from httttthttttthttththt. What is prob of picking 2 t?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 0*d - 4978 - 4144 + d.\nAnswer: -d - 9122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 1. Let n(y) = 8*y**2 + 18*y - 9. Let w(z) = 2*n(z) + 18*u(z). What is the second derivative of w(m) wrt m?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8662 + 545791\/63. Calculate the common denominator of -37\/84 and y.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -128192*r**6 - r**2 + 55683*r wrt r.\nAnswer: -15383040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4 - 318*u**3 + 8103*u**2 + 17172*u + 8748.\nAnswer: 3*(u - 54)**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*(-1022)\/73?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -186790 to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35 times -0.9?\nAnswer: 0.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*m**2 + 2*m**2 + 13*m**2 - 474*m**3 - 2*m.\nAnswer: -474*m**3 + 32*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 3 = 4*x - 0, -1960*x + 2*z + 21 = -1955*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29644530.\nAnswer: 2, 3, 5, 139, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -9548*g - 29. Is y(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 + 47. Suppose -4*h - 18 = -s*h. Solve l + 8 = 4*v + h*l, -6 = -3*v + l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 469193958 to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b + 6. Give x(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.636 - -0.61. Let g = 4.974 - h. Let i = 3 + -2.8. What is the closest to -3 in -3, g, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 6. Suppose 73 = 2*u + 3*x, x = -2 - j. Suppose -3*d + u = 8. Solve -3*t = -5*n + 7, 2*t = -3*n - 3*t + d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 8. Let l = -8.57626 - -1.57623. Let a = k + l. What is a rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1397\/5 + 279. Do a and 560 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a minute in milliseconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 2*v**6\/15 - v**5\/15 + v**4\/8 - 289*v**2. Find the third derivative of h(g) wrt g.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -443\/330 + 1\/110. Put -0.5, 0.06, j in descending order.\nAnswer: 0.06, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 2477 = 4643. Is 35 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147\/(15\/5)*26*(-185)\/(-3367)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*i**2 - 1029*i - 414.\nAnswer: 3*(i - 69)*(5*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 542732 and 482?\nAnswer: 542732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 5*f = 105. Let b(r) = -3*r**3 - 5*r**2 - 15*r. Let i(o) = -4*o**3 - 3*o**2 - 16*o - 1. Let v(m) = 3*b(m) - 2*i(m). Determine v(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -67242*o + 6320765. What is c(94)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + t - 49. Is 33 a factor of q(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -94 - -221. Let n = -117 + q. Let i be ((-12)\/n - (-2 + 2))*-10. Calculate the highest common factor of 96 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.013361*0.1.\nAnswer: -0.0013361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152\/19133*(266\/4)\/7.\nAnswer: 4\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 888360 and 12437040?\nAnswer: 12437040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 164655 + -4?\nAnswer: 164651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15.2 + 15. What is the third smallest value in g, 4, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 12 = -7*l. Let t(q) = -19*q**3 - q**2 + q + 1. Let r be t(-1). Suppose 3*u + r = 5*u. Calculate the lowest common multiple of u and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*g**4 + g**4 + 0*g**4 + (-269 + 269 + 50*g)*(2*g**2 - 3*g**2 + 3*g**2)*(5 - 1 - 2)*(3*g - 5*g + 4*g).\nAnswer: 392*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(352)*2 - sqrt(352))\/(((sqrt(704) - sqrt(704)*-1) + sqrt(704) + sqrt(704))*5).\nAnswer: -13*sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 20*k**4 + 168*k**3 + 1426*k**2 + 1254*k - 42. Let w(n) = -16*n**4 - 170*n**3 - 1427*n**2 - 1253*n + 35. Let x(r) = -5*o(r) - 6*w(r). Factor x(d).\nAnswer: -4*d*(d - 52)*(d + 1)*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -183 + 183.73. Let g = -0.729917 + m. What is g rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19985523?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -313 (base 5) to base 7\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + sqrt(10)\/((sqrt(128) - (sqrt(128)*-1 - sqrt(128))) + sqrt(2)))**2.\nAnswer: -2*sqrt(5) + 3126\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 - 3*f**2 + 2*f**2)*(0 + 2 - 4) - 21*f**2 + 8*f**2 + f**2 + (-3*f**2 + 3*f**2 - f**2)*(-4 + 4 - 1) + 0*f + 0*f - 2*f**2.\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -780*-73224.\nAnswer: 57114720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1311 and 2185?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/8))**(-6\/23)*a\/(a*(a*a\/a**(-2\/65))\/a)*a*a**(-3\/22)*a assuming a is positive.\nAnswer: a**(56931\/65780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 3) + 3 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6793 + 6708. What is the closest to 0 in c, -1, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.6+0.0279289\nAnswer: -1.5720711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/13 - 5\/(-26)*(-16)\/20.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3160*r**2 + 3874*r**2 - 1541*r**2 - 3070 - 10617 + 6895*r**2 wrt r?\nAnswer: 24776*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217434102 is divided by 1268.\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**3\/6 + 11*z**2\/3 = 0.\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -8. Let j be (36\/6)\/(-6) + 29. Let c be 3\/20 - (-10 - (-273)\/j). What is the third smallest value in 0, 3, c, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + v**3 + 0*v**2)*(-1 + 4 - 1) + 2*v**3 - v + v + 4*v**2 - 3*v**3 - 4*v**2 + (-1 + 4 - 2)*(-153*v - 15*v**3 + 153*v).\nAnswer: -14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) 4 (b) -105 (c) 30 (d) -814\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35845643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 + 9 + 3*l**2 - 3*l**2.\nAnswer: 2*l**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 32*x**2 - 258*x - 33. What is c(-16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 260*t - 136. Let i be y(23). Is i smaller than 5843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30502.36 millennia in centuries?\nAnswer: 305023.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14\/(-6) - -2)*(-5 + -4). Let c be 14\/(-6) + 1\/3. Let o be c\/(-8) + 3\/(-4). Sort p, -2\/9, o.\nAnswer: o, -2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 36*s**3 - 149*s**2\/2 - 33*s + 5. What is the derivative of f(k) wrt k?\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/310 + 1\/2*14490\/1302?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -75 - (-168 - -75) - (25 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 + 3)*(0*u + 2*u + 0*u) + (-4 + 4 - 2*u)*(0 - 1 + 4 + (-4 + 4 + 1)*(-1 - 1 + 3))*(-85 + 50 + 40) - u + 4*u - 2*u as p + w*u and give w.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from cacacapfcf.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 652528644.\nAnswer: 2, 3, 54377387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 32a3 (base 16) to base 2\nAnswer: 11001010100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(51)\/sqrt(108)*6 + -3 + -3)*-2)**2.\nAnswer: -48*sqrt(17) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1779 - 0.6521. Which is the smallest value? (a) v (b) -0.1 (c) 0.7 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 163\/5 (b) -5\/19 (c) 6176\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 4640 = -1292. Suppose -x = -t + 642. Suppose 0 = -2*u + 5*z + 455, 5*u + z = u + t. What are the prime factors of u?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) -2\/3 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*p**2 - 35*p**2 + 21*p**2.\nAnswer: 67*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x - 13. Let d be i(-5). Let n be (-13722)\/4 + 4\/d. Let l = n + 5484. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2659*f**2 + 5*f**3 - 2663*f**2 + 10*f**3 - 2664*f**2 + 7986*f**2.\nAnswer: 15*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -576.0714 take away -4708071?\nAnswer: 4707494.9286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51481 = z - 39*c - 51573, -2*c = -5*z + 74 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1334, 3457, 8252, 13051, 17854, 22661, 27472?\nAnswer: 32287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 5*l = -26, 0 = -2*g - 4*l + 806 - 822 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s. Let j(f) = -2 - 2*f**2 + f**2 + 2. Calculate j(l(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**2 + j. Let k be w(-1). Suppose -m - 2*x + 433 = 0, 1723 = 4*m + k*x - 3*x. Let n = m - 298. Does 25 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9170595061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 8. Let t(h) = 2*h + 15. Let q(v) = -11*l(v) + 6*t(v). Suppose 0*b - 12 = -4*b. Calculate q(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uul when three letters picked without replacement from alaawwwuluwa?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/5843 + -11915\/1338047. Let l = -695\/916 - m. Suppose -3 = -5*t - 4*n - 0, -n = 4*t + 2. Which is the smallest value? (a) -1\/4 (b) t (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 8\/2) + 19. Let w = g + -9. What are the prime factors of w\/21 - 112\/(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1923, 1886, 1785, 1584, 1247, 738, 21?\nAnswer: -940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - 4. Let s be 0 - c\/((-21)\/(-6)). Suppose 5*f - 2*k + 5*k - 1835 = 0, f + s*k - 367 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 6 = -5*f - 2, 0 = 4*l + f + 121. What is the smallest value in 0.5, 2\/21, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 4*l = -12, 5*y + 62*l - 64*l = 22 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 449654 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from non. Give prob of picking 2 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -2*p - 412, 3*h - 858 = p - 236. Calculate the remainder when h is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 1\/14 (c) -1838\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 140221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 5) to base 9\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 13*l**2 + 4193*l + 36667. Give k(-9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kpupkppupppppuuppupp. Give prob of picking 2 p and 2 u.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 129b - -267?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/12*778\/(-8558).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21330 - -1130202133?\nAnswer: 1130230123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2, 2*s - s = -3*p + 17. Let u be 12\/p - (-6)\/10. Let d be ((-1)\/(-2))\/((-2)\/(-68)). Solve -2*r = b - r - 3, 0 = -u*b + r + d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-430)\/60 - 1\/(-12)*-262\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -1 + 13 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7.99 or -0.1?\nAnswer: -7.99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331634054.\nAnswer: 2, 67, 2474881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 1 - 1)*(3 - 2 + 1) + 1215*r + 1188*r + 1198*r + 80 - 3665*r.\nAnswer: -66*r + 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 225 (b) -0.1 (c) 0 (d) 141 (e) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 5*x**2 - 5*x + 10. Suppose 7*y - 2*y = 0. Suppose -k - 3*k + 16 = y. Let v be b(k). Is 6 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19461*a - 18727*a - 6104 = 29862 for a.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 17446933?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in -174\/7, 4, 0.5, 2, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.1, 0, -5, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -6*g**2. Let z(v) be the second derivative of -2*v**4\/3 - v**3\/6 - 7*v + 75. Calculate z(d(x)).\nAnswer: -288*x**4 + 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4311*x = 4324*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-52)\/91)\/((-4)\/14). Suppose -f - u*y + 6 = 0, 0*f - 2*y - 10 = -f. Solve 2*p = -0 - f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/((u\/((u\/(u**(-17\/4)*u))\/u*u*u))\/u*u)*u*u*u**(-9) assuming u is positive.\nAnswer: u**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from sswswwwwsssss.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h**10))\/(h*h**(-7)))**(4\/9)\/(h*h*h*h**5*h*h**(-1)\/h)**41 assuming h is positive.\nAnswer: h**(-2603\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4023710 + -76?\nAnswer: 4023612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -5 (c) -0.3 (d) 2\/7 (e) 135733.6 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1004922, 2009924, 3014924, 4019922?\nAnswer: 5024918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 0, -5, -4, -8, 75, -1.\nAnswer: -8, -5, -4, -1, 0, 26, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -12*a**2 - 2*a + 0*a**2 + 2*a. Let y(n) = -n**2. Determine y(d(u)).\nAnswer: -144*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -6, 0*w = 5*p + 3*w - 159. Let d = -19 + p. Find the common denominator of (-1 + 41\/27)*(16 - d) and -31\/15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57472507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**4\/3 - 77576*d**3\/3 + 752176892*d**2\/3 + 501528840*d + 250777350 = 0.\nAnswer: -1, 19395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 61008 and 88.\nAnswer: 671088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2750 in 3\/7, -2\/11, -4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jiji when four letters picked without replacement from {i: 11, j: 4, c: 4}.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-200)\/125)\/(30\/25))\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.0942 (b) 1 (c) 0.5 (d) 0 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 10*h**2 + 26*h + 24. Let m be v(-14). Let s = m - 47. Factor s - 69*i**2 + 9*i**3 - 81*i + 18*i**2 - 418.\nAnswer: 3*(i - 7)*(i + 1)*(3*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 13*x - 8. Give c(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1971 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/6*(-3)\/(-2). Suppose 1635*x - 4725 = 960*x. Calculate the greatest common factor of x and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-18))\/(-6 + (-102)\/(-12))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.5 + 21.5. Let z = s + -17.92. Let p = z + 0.22. Which is the closest to p? (a) -2\/11 (b) -5 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(0 + -9) + (-19)\/(-3). Let b be 33\/(-12) - c\/(-8). Let u be 2 + b + 15\/(-6) - 0. Are u and -2\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-120)\/(-250))\/(-12))\/(3\/(-6))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 6*(sqrt(1573)*-5 - sqrt(1573))*-1)**2.\nAnswer: -3960*sqrt(13) + 2038633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*k = 9073 - 3333. Let w = -49 - -90. What is the highest common factor of k and w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1426, -1425, -1422, -1417, -1410, -1401, -1390?\n\"Answer: u**2 - 2*u - 1425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4)*j*j\/((j*j*(((j\/(j**(-34)*j)*j)\/j)\/j)\/j)\/j)*j)\/(j**(-2\/59)\/(((j\/(j**(5\/3)*j))\/j)\/j)) assuming j is positive.\nAnswer: j**(-23989\/708)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.19? (a) -1.9 (b) 1\/5 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 24\/(-30))*(-1)\/6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1097282351.\nAnswer: 11, 47, 71, 167, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10\/57 + 412\/399. Let l = -1.63 - -1.7. Let h = l - 0.17. Sort 1, h, w in decreasing order.\nAnswer: 1, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 176, 389, 778, 1349, 2108, 3061, 4214, 5573?\n\"Answer: u**3 + 82*u**2 - 40*u + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, x: 5}. Give prob of picking 2 x.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82*a**2 - 40*a + 40*a)*(1 - 4 + 5).\nAnswer: 164*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -16*(-33 + (-3710)\/(-112)). Let p = 5\/44 - 4\/11. Suppose d + 1 = 0, 4*n = 2*d - 2 - 16. What is the closest to 0.1 in p, l, n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 2:06 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 18 = -a, -37*a + 33*a + 48 = -2*u. Calculate the lowest common multiple of a and 4290.\nAnswer: 30030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, v: 1, g: 1, w: 1, j: 1, q: 2}. What is prob of picking 1 g, 1 v, 1 q, and 1 x?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*p - 60. Solve 3*t = -2*k + 9, 0*k + k = -3*t + p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2*1\/(-16) + 66994\/656 is divided by 39.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42\/(-9)*7\/((-35)\/75) and 42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 5 - (-10 - -14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 10}. What is prob of picking 3 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 93398340*h**2*u**3*x**2 + 2*h**2*x - h*u**3*x**2 - h*u**2*x**2 + 812*h*u**2*x - 23*h*u*x**2 - 3*h*x**2 + 6*u**2*x**2 + u**2 wrt h.\nAnswer: 186796680*u**3*x**2 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -4, -3, 3, 1 in increasing order.\nAnswer: -23, -4, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 68726 + -1?\nAnswer: 68725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 6799990. Let s be v(0). Suppose -4*c - 5*k - s = 0, 3*c - 5*k + 244864 + 4855146 = 0. What is c rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15870*m**6*s**2 + 2*m**2*s**2 + 2*m**2*s + m*s - 306*s**2 wrt m?\nAnswer: 1904400*m**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o + 3 - 96*o**2 + 304*o**2 + 4*o**3 - 100*o**2 - 4 - 104*o**2 as i + x*o + h*o**3 + v*o**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6420 - -9441. Find the third derivative of 24*k**4 - 3021*k - 24*k**2 + x*k wrt k.\nAnswer: 576*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - -42. Let j be (48\/15 - 4)\/((-2)\/d). Let h(k) = 2*k - 1. What is h(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 47 and -1194753902.\nAnswer: -1194753855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129212 is divided by 25839?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 m when four letters picked without replacement from mmtmt?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*a + 2 - 2)*(-5*a**2 - 7*a**2 + 2*a**2) - 2*a**3 - 5*a + 5*a)*(1 - 3 - 20).\nAnswer: 484*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/35)\/(-9)*2\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -223*a**6\/24 - 2163*a**5\/20 + 2*a**2 + 3*a - 177. What is the third derivative of d(f) wrt f?\nAnswer: -6690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -26*m + 187. Determine k(5).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13382 = -7*i - 2581. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/21)\/(180\/270)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 + 2*o + 7. Calculate y(5).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6\/b)\/(b**(-7)\/b)*b\/(b\/b**(3\/7))*(b\/b**(-1\/3))\/b*((b\/((b*(b**(1\/2)\/b)\/b)\/b))**(5\/2))**(-3\/4) assuming b is positive.\nAnswer: b**(3049\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/(-45))\/(-7)*3\/(-2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(64)*2 - sqrt(4)))\/(sqrt(12)\/(sqrt(54)\/(1*sqrt(9)))).\nAnswer: 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 z when four letters picked without replacement from zzzvfvfwzzwgvvfgzvv?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-10)*(3 - -2). Suppose a*w + 2*w = 112. Suppose -s = -3*s - 5*p + w, 2*s - p - 28 = 0. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 280 and 0.17.\nAnswer: 47.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 255426420 to the power of 1\/2, to the nearest integer?\nAnswer: 15982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 510183330?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -1) + 4 + -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/24 - 82\/12. Let u(s) = -2*s + 8. Is u(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**3 + 7*s**3 + s**3 + 2*s**2 - 2*s**3 - 2*s**2 + (-2*s - 3*s + 3*s)*(4*s**2 + 0*s**2 - 3*s**2))*(-s**2 + 3*s**2 - 5*s**2).\nAnswer: 3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -4.759.\nAnswer: -4.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -38, -118, -272, -524, -898, -1418?\nAnswer: -2108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1316373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-7)*(-99)\/81 + 8\/(-28)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10717499.819 to the nearest ten thousand.\nAnswer: 10720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-36))\/((638\/29)\/(-330)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/(-4830)*(-182)\/(-52)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2*8606\/(-13). Suppose -3*g = -4*u - 299, -2*u - v = -4*g + 81. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 758567416.\nAnswer: 2, 23, 439, 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 988 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2552.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**4\/2 - 27*l**3 - 141*l**2\/2 - 45*l = 0.\nAnswer: -15, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.035 - 1.005. Let s = u + 0.84. What is the nearest to s in -3, -1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4345946 - 18?\nAnswer: 4345928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r**4 + 78*r**3 + 45*r + 3. Let w(m) = 6*m**4 + 78*m**3 + 45*m + 4. Let j(v) = -5*i(v) + 4*w(v). Find the second derivative of j(c) wrt c.\nAnswer: -12*c**2 - 468*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.42665 + 4.42665. Let o = -121\/20 - -21\/4. Which is the smallest value? (a) u (b) o (c) -0.3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -699487, -699021, -698555, -698089, -697623?\n\"Answer: 466*p - 699953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-32)\/40)\/((-4)\/3). What is the fourth smallest value in c, 0.1, 0, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (2 + (-5)\/(-5)). Let c(s) = -s**2 - s + 13. Give c(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/528 and 77\/193632.\nAnswer: 2129952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.75 + -3.15. Which is the biggest value? (a) -2 (b) -1\/3 (c) w (d) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g - 1 - 2*g + 2*g. Calculate f(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffssfssf. What is prob of sequence sfss?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(637) + -2 + 3 + sqrt(637) - (1 + (sqrt(637)*2 - sqrt(637)) + 1)) + 2 + -4 + 1)**2.\nAnswer: -84*sqrt(13) + 673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10664466 (base 7) to base 15\nAnswer: 13898c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 209123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c + 1. Let s(t) = 7*t + 1. Suppose 0 = -2*i - 0*i + 6. What is i*s(m) - 5*p(m)?\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-12)*(-234)\/(-1092)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-140)\/63)\/(5440\/(-816)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153 - 4*g**2 - 153.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-63))\/((-24)\/112)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199637797?\nAnswer: 199637797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*f - 18, 35 = 4*f - 4*h - 41. Suppose -f*t + 51 = -11*t. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-1782))\/((-9)\/(-33)).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 405.09944 + -404.9. Let a = -81 + 81.2. Let n = a - h. Round n to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i + 28. What is the tens digit of q(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 64*a = 65*a - 257751005, 2*x = -14*a - 171833930. Round x to the nearest one million.\nAnswer: -86000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*n - n + 171 = 0, -p = 5*n - 61. Suppose 7*r + p = 3*r. Let u = 17 + r. Solve u = 2*t + 11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-136)\/(-22) - 4\/22. Let n = x - 4. Let d be n - (-5 - (3 - 5)). Solve 3*c = 6*l - l + 6, 24 = -3*c - d*l for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 64, 117, 172, 217, 240?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*i**6 + 35*i**5*o - 4*i**3*o - i**2*o + 55*i**2 - 3*o wrt i?\nAnswer: -480*i**3 + 2100*i**2*o - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -137, -35, 0, -3 in ascending order.\nAnswer: -137, -35, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 0 + 0*h + 0*h**3 - 1\/6*h**4 + h**2 + 1\/30*h**5. What is the second derivative of s(x) wrt x?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 4*r + 276, -2*r = -t + 5*t + 222. Let i = t - -69. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -127 + 145. Suppose -147 = -25*s + j*s. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.41012131 to one decimal place.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14.545 - 17.545. Let q(r) = 6*r**3 - 2*r**2 + 1. Let j be q(-1). Which is the third biggest value? (a) 0.4 (b) -1\/2 (c) j (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17, 30, 3, -3?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/35 or 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -521.0998 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -267 - 536. Let w = -798 - o. Solve -2*d + 4 = d - p, -4*p = -w*d + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 216.15 and 111.7.\nAnswer: 327.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 11:03 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11.6 times 0.8\nAnswer: 9.28","meta":{"dup_signals":{},"source":"arithmetic__mul_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: What is 7065723.8 plus -164?\nAnswer: 7065559.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 10*l**3 - 2*l + 2. Let u be (-3)\/4 - (-98)\/56. What is the remainder when 26 is divided by b(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-2 - (3 + -1) - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gjggadjadanjgdz. Give prob of sequence dzga.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4415 and 75469127?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9970 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - (1 - 1))\/(-1). Let z(b) = -2 + 2 + 9*b. Is 12 a factor of z(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 811 - 807. Suppose 5*x + u = 7, o*x - 7*u = -5*u. Which is the biggest value? (a) x (b) 8 (c) 3 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -407*u**3 + 345*u**3 + 426*u**3 + 408*u**3 + 411*u**3.\nAnswer: 1183*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -16304.\nAnswer: 3\/8152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -354 - -233455?\nAnswer: 233101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - s = 4*n + 103, n + 5*s = 79. Calculate the remainder when 192 is divided by n.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 5*d = 17, 179 = -h + 5*d + 188 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v + 0 - 3 - 6 + 1 as p*v + a and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132921?\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10011 (base 2) to base 6\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367324.\nAnswer: 2, 131, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3620 * -131\nAnswer: -474220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.18858955 to 1 dp.\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 227 (b) 4 (c) 0.06 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmmemgmrmmggggrmgmk. What is prob of picking 2 g?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 87017\/42810 + 1\/1427. Calculate the common denominator of c and 94\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-1 - -9) + 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3746779.\nAnswer: 3746779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -180*v + 7. Is c(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-1133569.\nAnswer: 5667845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 165\/238 - 53\/42. Let b = 36419\/90 + -3981\/10. What is the common denominator of p and b?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 248 and 50528.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 1:35 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 978056 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1100) - sqrt(1100)*-1)*4 - (-4*(sqrt(66)*3 - sqrt(66)) - sqrt(66))\/sqrt(6))*-5)**2.\nAnswer: 2178275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/5751 and 40\/783?\nAnswer: 166779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/9, -32, 5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.09 - -2.91. What is the biggest value in 5, a, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 + 486*j**2 + 16683*j + 31430.\nAnswer: (j + 2)*(j + 35)*(j + 449)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-41)\/(-10) - 14\/140. Suppose 2*t - 469 = -3*q + 4*t, 4*q = i*t + 628. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*((sqrt(2736) - (5 + 0 + sqrt(2736)) - (-1 + sqrt(2736) + 5))**2 + -1).\nAnswer: -33792 - 2592*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71406021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -0.5, 3, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 11:26 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -16 - (15 + (20 - 43))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -51148, -102296, -153446, -204598, -255752, -306908, -358066?\n\"Answer: -u**2 - 51145*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203563 is divided by 615?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1101 + -624. Suppose -27*f + 26*f = -d. Calculate the remainder when f is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11334 - 21777\/2. Let m = x + -5231\/12. What is the common denominator of m and -79\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178017.\nAnswer: 3, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 27\/4 + 2\/8. Suppose 5 - v = -c. What is the remainder when (2 - 3) + c + 24 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 627 divide 575668562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246*x - 23 - 245*x - 53 - 7.\nAnswer: x - 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -218*b. Let v(s) = 27248*s. What is -624*a(y) - 5*v(y)?\nAnswer: -208*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -406 + 742. Suppose -4*y + f = 10*y. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, f: 10}. Give prob of sequence kf.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + z**2 - z + 3. What is x(5)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1452*h - 16286 - 44698 for h.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**5 - 1070*y**4 - 3198*y**3 - 3194*y**2 - 1064*y = 0.\nAnswer: -532, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15001 - -104?\nAnswer: 15105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 m when two letters picked without replacement from allaaldaldddahma.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 60*v - 742. What is x(13)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 m when four letters picked without replacement from mgmmmmmmmmmmgmggmmgm?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -3\/2, 10655, 2\/13, 5, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 32*x + 251. Determine n(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (66\/18 - 0)*6. Suppose -3*r + 2*r = -2. What is the greatest common divisor of z and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*10\/(-20) + (-546)\/340. Let z = c + 38\/391. Are z and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46071, -46072, -46073, -46074, -46075, -46076?\nAnswer: -46077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 10577*x**5\/60 - 759*x**4\/8 - x**3\/2 - 7*x**2 + 601*x + 2. What is the second derivative of u(q) wrt q?\nAnswer: 21154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/15 + 130028*x\/15 - 2113410098\/15.\nAnswer: -2*(x - 32507)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 1 - 1)*(-2 + 6 - 2)*(3*u - 5*u**3 - 3*u)*(u + 0*u + u).\nAnswer: -40*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from lllolol.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 - 231412280*i - 3346977708424900.\nAnswer: -4*(i + 28926535)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7329134 is divided by 91.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 5716.\nAnswer: 11432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2640205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*f**2 - 13*f - 1108*f**4 - 4 - 36*f**3 + 39*f**3 + 3 + 1105*f**4 to m + c*f**4 + v*f + w*f**2 + d*f**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k - 9460 + 9460.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*j - 8 = -5*j, 0 = 3*g - 2*j + 1. Let y(a) = 4*a**2 - 5. Let x(r) = -r**2 + 1. Calculate g*y(b) + 3*x(b).\nAnswer: b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 20 - 6. Calculate the highest common factor of 26 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5*n - 28, -n - 4*m - 22 = -2*n. Which is the nearest to 0? (a) -5\/2 (b) n (c) 3.6 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 1415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 2*y. Let u(a) = 135*a**3 + 2*a**2 - 5*a + 4. Calculate 2*d(w) + u(w).\nAnswer: 135*w**3 - w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 8*s - 3*s + 9, 4*a = -2*s - 18. Suppose f + 6 = -460*m + 461*m, f - 14 = -m. Put -4, a, m in decreasing order.\nAnswer: m, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (249\/1162)\/(2\/(-4))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 39312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -251 + 260. What is the least common multiple of c and 178?\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/5)\/(24\/(-2))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*x - 6*x + 132 - 132.\nAnswer: -28*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -18*o**2 + 70*o - 7. Let m(t) = -17*t**2 + 60*t - 6. Let d(f) = -7*m(f) + 6*r(f). Let g(a) = 340*a**2. Determine g(d(l)).\nAnswer: 41140*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -70*o**3 - 5*o**2 + 3*o + 31. Is h(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**2 + 475*i + 421*i + 11*i + 3*i**2 as u + l*i**2 + n*i and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28 + 306 + 460)*(-1885*n + 1881*n + 5 + 5) to p + k*n and give k.\nAnswer: -3176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11766731*q**3 - 16545*q + 177?\nAnswer: 70600386*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 54624.87 decades?\nAnswer: 546248.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 13) to base 7\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 17*l + 30. Let j(p) = -p**3 + 5*p**2 + 4*p - 5. Let q be j(6). Does 5 divide s(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15700 + 15699.9. Which is the fourth smallest value? (a) 3\/2 (b) -1 (c) s (d) -2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*d = -12*a + 139*d + 550, 2*a + 4*d = 82 for a.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 5*h**2 - 5*h - 4. Let i(w) = -w**3 - 6*w**2 + 6*w + 5. Calculate 5*i(t) + 6*n(t).\nAnswer: t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1257 + -957. What is the highest common factor of 20 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millimeter in micrometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 5*a + 7, 434*s + 5 = 437*s - a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + r**2 + 3*r + 15. Suppose -10*p - 3*x = -6*p + 9, -9 = -9*p + 3*x. Determine a(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 221330 and 287729?\nAnswer: 2877290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-18)*(-312)\/(-364)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 309, 98, -67, -162, -163?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 2:55 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 12:28 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 7.9.\nAnswer: -39.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 18*z**2 + 21*z + z**2 - 40*z + 8*z + 24*z to b*z + s + x*z**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11941256 - 6831256. What is u rounded to the nearest one hundred thousand?\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cn when two letters picked without replacement from {h: 3, c: 9, n: 4, w: 1, k: 1}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -3, -6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 28. Suppose 0 = -w*v - 4*v + 72. Solve 0 = -k - 2*k + v for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7266 + -75?\nAnswer: 7181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/150*5*2\/(-6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 0*b - g + 23, -b = -g + 7. Let v(c) = 4*c + 12. Let h be v(b). Let t be ((-15)\/(-12))\/(h\/(-16)). Solve y - t*y + 12 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5182632 divided by -182.\nAnswer: -28476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + -2 + (-7)\/7. Let x = -4 - c. Let v be 8\/(-8) + x + -9099998. Round v to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 342130131?\nAnswer: 342130141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 0*h = 3*l, -3*l = -4*h - 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-1 - (0 - -7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 8*p + 5*p)*(3*p**2 + p**2 - 3*p**2).\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-2\/15)\/k*k*k**(-5\/4)*(k\/(k*k**(-4)\/k))\/k*k*k\/(k**6*k*k) assuming k is positive.\nAnswer: k**(-143\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -5 (b) 0.04 (c) -1\/3 (d) -13\/2040\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*n. Let r(y) = -y + 5. What is r(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26477 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(2\/5))**(1\/37)*t**(3\/7)*t*t**(-4) assuming t is positive.\nAnswer: t**(-3274\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**9*d\/d**(2\/3))\/((d**(-7)*d)\/d**0) assuming d is positive.\nAnswer: d**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34*t**2*u**2 + 2*t**2 - 35*t with respect to u.\nAnswer: 68*t**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 743694 = 8*r + 34*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -768 and -23.\nAnswer: 17664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 2:58 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s + s**2 + 19 - 39 + 17 - 36 - 37. Let q be f(8). Solve -m + 4*i = -16, 7 - 1 = -q*m + 2*i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24694 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*t + 26, -t = 3*t + h - 52. What is the remainder when 41 is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -63*j - 10. Let t(z) = -3. Let a(c) = k(c) - 4*t(c). Let n(d) = -7*d**2. Give a(n(l)).\nAnswer: 441*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c + fa6?\nAnswer: f9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2936789858 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-202)\/(-22) + -12 + (-4)\/22.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-22) - 140\/(-44). Let v be (c + -1)*(3 - -93). Let y(j) = -j**2 - 11*j + 24. Let o be y(0). Calculate the greatest common divisor of o and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7c9 (base 13) to base 2.\nAnswer: -10101000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-30*5\/120.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 1893*t**2 + 291885*t + 2136981.\nAnswer: 3*(t - 319)**2*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 10 = 20, 5*l - 5115 = 5*k. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -16*r**2. Let p(f) = -6*f**2 + 21*f + 21. Let w(i) = i**2 - 4*i - 4. Let k(j) = -4*p(j) - 21*w(j). What is s(k(y))?\nAnswer: -144*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 5*j - 6. Let f be t(-6). Let u = 1898 + -1893. Solve u*o + f*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14441001 (base 6) to base 13\nAnswer: -147c94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -371*f - 220 = -381*f. Solve -13 = -f*x + 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + a?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 210.5 + -203. Let h = -12.5 + w. Which is the nearest to 0.3? (a) h (b) -0.09 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*u = -272, -3*d = -5*d + 5*u + 227. What is the remainder when d is divided by 480\/18*(-6)\/(-5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*m = 48*m - 525 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/6 - 130471*u**3 + 51068045523*u**2\/2.\nAnswer: u**2*(u - 391413)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*i**2*w + 313*i**2 - i*w**3 - w**3 wrt w.\nAnswer: 8*i**2 - 3*i*w**2 - 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/50 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292201652?\nAnswer: 2, 73050413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2034601442 + -1?\nAnswer: -2034601443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 3*x + 5*b, 42 = -0*x + 2*x - 3*b. Suppose 33 + 24 = -3*y. Let t = y + x. What is the lowest common multiple of 6 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k - 2. Let d be w(-7). Suppose d*i + 5*z - 35 = 0, 3*i + i - 31 = -5*z. Suppose 3*t - 936 = -3*l, -i*l + 1351 = t + 118. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1161258 and 201369.\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.341845 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 - 1815*y**2 + 137700*y.\nAnswer: 5*y*(y - 255)*(y - 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**3\/3 - 22*g**2\/3 - 20*g\/3 = 0.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42494, 84988, 127482, 169976, 212470?\nAnswer: 254964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1363*o + 5452. Give h(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*z + 10 = 0, -5*k + 78 - 88 = -10*z. Suppose -3*b + 3 = 2*f - 4, -5*b + 2*f = -1. Solve 3*t - k*h - 3*h = -b, h = -t + 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 32*g**2 + 6*g - 174. Let u be -2*(-1)\/(-6)*-3. Let q = u + 7. Calculate the smallest common multiple of q and x(32).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 10:41 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r - 2*r + 2*r + (r - r - r)*(0 + 4 - 2) - 2*r + 4*r - 3*r + (23 + 32*r - 11 - 13)*(-5 + 2 + 2) to z + b*r and give b.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4*z + 0 = 11, 4*n - 12 = 2*z for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 184 and -5.531.\nAnswer: -1017.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 41, -1, 0.09 in increasing order.\nAnswer: -5, -1, 0.09, 1, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4501184810.\nAnswer: 2, 5, 31, 14519951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -621 (b) 6498 (c) 4\/7 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 342 and 2736.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**5*j*j**(2\/5))\/(j**3*j\/j**(-2)) assuming j is positive.\nAnswer: j**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 17*h - 42. Let w be a(19). Let x(j) = 2*j + 4*j**2 + 0 - 1 - 6*j + j. Let s(p) = -5*p**2 + 4*p + 2. Calculate w*x(n) - 3*s(n).\nAnswer: -n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 1676 = -3*l + 5*w, 3*w + 1119 = 2*l. Let r = -426 + l. Calculate the lowest common multiple of r and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gppgpnpn. Give prob of sequence nnn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83 by 48370.\nAnswer: -83\/48370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2381*f**2 - 10*f. Let m(y) = -4*y**2. What is i(m(v))?\nAnswer: -38096*v**4 + 40*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -c8b0?\nAnswer: c8b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - (17 - (15 + -10)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4652352 (base 8) in base 14?\nAnswer: -24d9c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + -1 - 2*8. Let b be (-87)\/(-27) + 4\/i. Suppose -31*a = -24*a - 21, a - 3 = -4*o. Solve 0 = n - o - b for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 13*c**2 + 26*c + 21. Suppose 0 = 4*f - 30 - 30. Let d be y(f). Let w = d + 71. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2397, 5, 5\/4?\nAnswer: 0.2397","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 25 + 8 + 28 + -38\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 151*l*s**2*v - l*s**2 - l*s*v - 2*l*v - 5*l + 135*s**2*v - 2*s**2 + 3*s*v + 2312*v wrt s?\nAnswer: 302*l*v - 2*l + 270*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1716, 2 in descending order.\nAnswer: 1716, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*d*t**3 - 185416*d*t*z - 9*t**3*z - 438*t**3 + 4*t*z - 3*t + z wrt d?\nAnswer: -18*t**3 - 185416*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*1*-1*-6)\/(sqrt(63)*-1 - ((sqrt(7) - sqrt(28)\/sqrt(4)) + sqrt(7))*4)*-1.\nAnswer: 6*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 11. Let x(r) = 2*r - 3. Calculate x(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3480)\/4640)\/(((-11)\/8)\/(-1))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 4. Let h(s) = 9*s - 1. Let j be h(m). Suppose 2*n - 5 = 3*y - j*y, y + 5*n - 1 = 0. Is y > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 352 and 2552?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 7*s + 1. Let k = -16 - -9. Let c be h(k). Suppose -2*z + 13 = -1. Calculate the highest common divisor of c and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-99)*-11)\/(((-4)\/9)\/4). Which is bigger: t or 31\/18?\nAnswer: 31\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 0*l + l)*(634 - 1047 + 621)*(-1 + 0 + 3).\nAnswer: -416*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -315, -1060, -2509, -4896?\nAnswer: -8455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*-1 - (-8 - -5). Suppose c*f - 6*f = -24. Let g = 1 - -9. Calculate the highest common divisor of g and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50.80152 + 1.84112. Let k = -49 - h. Round k to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 - -73. Suppose -n = 4*p - 511, u*p - 5*n = -7*n + 510. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5093, -10196, -15321, -20480, -25685, -30948, -36281?\n\"Answer: -2*f**3 + f**2 - 5092*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -97\/2*d**2 + 0*d**3 - 10*d**4 + 95 + 0*d. Find the second derivative of j(x) wrt x.\nAnswer: -240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 193 + 217 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-10)\/4*(-6)\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 52.71?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 1 + 0 + r - 5. Let x be u(6). Solve -18 = 4*i + x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -753, -3022, -6803, -12096, -18901?\n\"Answer: -756*d**2 - d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -43 - 24*b - 13*b + 3 wrt b.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11278 - 11278.04. Let u = -39 - -38.9. What is the nearest to u in -2, -1\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-4)*17\/425*-6\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-28)*(-7)\/(-40). Let i be 1\/(-8) + (-99)\/(-1180). Let f = i + v. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*-1.259\nAnswer: -0.02518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 218145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15\/2 + -31\/4. Which is the second biggest value? (a) 3 (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12360 - -12360.1. Let p be ((-1)\/(-24))\/((-9)\/(-140)). Let n = p - -1\/54. Which is the biggest value? (a) z (b) n (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*v = 48*v + 2. Solve -v*b - b - 4 = -j, -4*j - 3*b = -1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13886921 divided by -1.\nAnswer: -13886921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -g + 18. Let d be 0 - (-1 - g\/(-1)). What is the highest common divisor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5 = l + 22, -44 = 4*l + 4*m. Let s = l - -59. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3229.91 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 11:17 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 3*o**5\/10 + 2*o**4\/3 + 36*o**2 - 21*o. Find the first derivative of q(d) wrt d.\nAnswer: 18*d**2 + 16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -6*o**2 - 29*o - 6. Let h(w) = -5*w**2 - 14*w - 4. Calculate -5*h(b) + 2*v(b).\nAnswer: 13*b**2 + 12*b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17374 - 17409. Let i(m) = -m**3 + 4*m**2 - 8*m + 8. Let l be i(6). Let w = n - l. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (0 + (-2 - -2) + -6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 799537363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 45.1 and -1.\nAnswer: 44.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 73?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 + 39. Which is the nearest to 1? (a) -7 (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 1342 = 3*n, 127 = g - n - 208. Let b = g - 283. Calculate the remainder when 269 is divided by b.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1550641\/62652 + 1\/15663. Calculate the common denominator of 88\/777 and x.\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b0 (base 13) to base 11.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + 2*(sqrt(2448) + sqrt(2448) + sqrt(2448) + 0) + sqrt(2448))**2 - (3 + sqrt(2448) + 0)) + (sqrt(153) + 0 + -1)**2*-3.\nAnswer: 6*sqrt(17) + 156207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6966204 is divided by 910.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*i - 4 + 4*i - 7*i)*(5 + 16 + 4) to the form d + y*i and give d.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8821 rounded to 2 dps?\nAnswer: -0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-3 + (2 + 13)\/3). Suppose z = 3*o - 2*o + 76, m = 5*o + 10. Calculate the remainder when z is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 4:08 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.41 + -0.09. Let a = 949 - 951. What is the smallest value in c, a, 2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*k + 70 - 5589 = -844 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y. Let k(v) = -3*v - 8. Give k(r(g)).\nAnswer: -6*g - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 1016*q + 1017*q = 12, -i = -3*q - 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2218*q + 2220*q + 5*f - 22*f = -17, -f + 1 = 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/227266 and 25\/4836.\nAnswer: 42271476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2318*k - 13 = -2320*k + 3*f, -2*f = -8*k + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = w + 3*u, -18*u - 2 = -2*w - 15*u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 - 3. Suppose 4*r - 49 = -5*p + 28, 2*r - x = 2*p. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 110702?\nAnswer: 110706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.033 - -0.467. What is the nearest to 0.1 in 2\/7, -3\/7, 0.2, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(425) - (sqrt(425)*-1 + -4)).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1175728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (17 - (-15 + 5 + -2 - -8)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l + 50 = -0*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12317 + 19437. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*d - 4*t + 375 = 0, 0 = -2*t. Suppose 11*g = 8*g + d. Solve -2*p = 3*j + g, -p + 2 = -3*j - 8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.96 + -0.04. Let u(d) = 4*d**2 + 22*d + 12. Let q be u(-5). Which is the closest to 1? (a) l (b) q (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*n = -0*f + 12, 4*n - 16 = -4*f. Let c = -3124 + 3644. What is the third derivative of -15*v**6 + 520*v**4 - c*v**4 + 26*v**f wrt v?\nAnswer: -1800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -251 by 3.\nAnswer: -251\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54499838 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 43 - 493. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.146 and -691.75.\nAnswer: 100.9955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 4*c**2 - c + 3. Let a be (-1)\/(2*4\/(-24)). Determine p(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4585.\nAnswer: 5, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 130*l**2 + 840*l + 456. What is k(-6)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 9*v + 3. Let h be o(9). Let i be (h + 38\/(-12))*-3. Let t be -1 - (0 - 3\/4). Which is the closest to 2? (a) i (b) -0.4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36084095 divided by -229835\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.3, 3974, -5, 3\/4, -10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 15*o**2 - 6*o. Let k(w) = -14*w**2 + 5*w. Determine -6*k(r) - 5*v(r).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 84390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**5\/60 - 7*v**4\/24 + 20*v**3 - 18*v**2 - 10*v. Determine j(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*n**3 + 0*n**3 + 4*n**3)*(-3*n + 0*n + 2*n + 1) as u*n**4 + w + v*n + d*n**2 + x*n**3 and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12565031501 - -1?\nAnswer: -12565031500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -8*h - 37 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of t**5\/270 + t**4\/54 + t**3\/27 + 2*t**2 + 3. Let o(j) be the second derivative of w(j). Suppose o(y) = 0. Calculate y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - -4*(1*sqrt(190) - sqrt(190) - sqrt(190)))\/sqrt(10).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6 = 0, -z + 1058 = 4*q - 989. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 22352, 42351, 62354, 82361, 102372, 122387, 142406?\n\"Answer: 2*k**2 + 19993*k + 2357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.85748 millennia in decades?\nAnswer: 6885.748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 1345532125?\nAnswer: 1345532130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -12*y - 16. Let k = 227 - 264. Let g = k + 32. Let p be (6\/(-4))\/(3\/(-32)). Let j(l) = -4*l - 5. Give g*u(q) + p*j(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 35?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**2 + 52*j - 16. Suppose 13*d - 2*d + 198 = 0. Let b be k(d). Solve -2*r = 3*r - b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 10074 (c) -48\/193\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3747*v**3 - 2*v**2 - 8. Let c(z) = -77135744*z**3 - 41173*z**2 - 164692. Determine 6*c(g) - 123519*p(g).\nAnswer: 11229*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4240126 and 4240126.\nAnswer: 4240126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -52 - 3?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a**3*u*x - 33280*a**3 + 6*a**2*u*x + 325*a*x - 10*u wrt x?\nAnswer: -2*a**3*u + 6*a**2*u + 325*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5*(sqrt(18) + 1*sqrt(18))*4)\/(sqrt(441) - (sqrt(441) + (sqrt(441) - (2*sqrt(441) + sqrt(441)))*-2))*6.\nAnswer: 4 + 60*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 4*i - 25 + 48, 5*v + 21 = -3*i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1032 - 4?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16022 by -8011.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13295576000 rounded to the nearest 1000000?\nAnswer: 13296000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*w + 0 + (28*w + 24*w - 48*w)*(4 - 1 - 1).\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u**2 - 4*u + 682. Let t(s) = 4*s - 525. Calculate t(n(b)).\nAnswer: 16*b**2 - 16*b + 2203","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0*k + 2*k)*(-61*k + 0*k**2 - 5*k**4 + 62*k + 2*k**2).\nAnswer: -5*k**5 + 2*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-26)*z*z)\/z)\/z*z**(9\/5))\/((z*z**(-18\/11))\/z*z**16) assuming z is positive.\nAnswer: z**(-2121\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 + -4?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 321*x = -325*x - 2108, 2101 = -2*p + 3*x. Does p = -1049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000001000110010 (base 2) to base 16.\nAnswer: 10232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*q + 10, q = 2*n + 2*q - 5. Suppose -n*z + 12 = -z. Let r(i) = -i**2 + 4*i - 4. What is r(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107700245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12818 divided by -12818\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -699 + 851.2. Let y = -152 + g. Which is the nearest to 1? (a) y (b) -2\/9 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-299)\/(-169))\/(-23))\/((-2)\/(-8)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018332888 to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {i: 4, n: 2, v: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 159*a**2 + 471*a + 471. Let m be s(-156). What is the nearest to 0.2 in -1\/5, 1087, m, -1\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -166 - -302. Suppose q*y - 133*y = -30. Put 7, -5, y in decreasing order.\nAnswer: 7, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*n**2 + 3645*n - 910.\nAnswer: -5*(n - 182)*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5322, 21350, 48070, 85476, 133562, 192322, 261750?\n\"Answer: -g**3 + 5352*g**2 - 21*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5455 - -550961\/101. Let x = j - -386\/303. Let z = 0.3 - 0.1. Which is the third biggest value? (a) z (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29665609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 6:41 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight fifteenths of a century?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -10*s + 15. Suppose 5 = 4*m + s. Solve -k = 3*x + 8, 8 = -m*x - 2*x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 690753121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -419b70 (base 14) in base 3?\nAnswer: -11011121200121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 22*o + 18*o + 17769, 4*o - 7098 = -2*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1035 - 882 = 17*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 - 100*p**2 - 1250*p.\nAnswer: -2*p*(p + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.58 (b) 0.0406 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -38\/26461 (b) 5 (c) 0 (d) -1\/6 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -5, -10, -3, -2\/3, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9718711.095 - -2?\nAnswer: -9718709.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 24 + 78*d - 37.\nAnswer: 78*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/22)\/(v\/v**(2\/27)))**(-20\/9) assuming v is positive.\nAnswer: v**(4690\/2673)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 5280*b. Let g(f) = -41*f. Give g(m(z)).\nAnswer: -41*z**2 - 216480*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/11)*i)**(1\/15)*(i\/(i*i**(-4)*i*i)*i)\/((i\/i**(2\/3))\/i))**(-12) assuming i is positive.\nAnswer: i**(-2472\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12249 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-7))\/(2 + 105\/(-49))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 10 + 2, -17 = -t - 4*m. Suppose t*x + 1 = -d, -x = -d - 2 + 1. Find the common denominator of -149\/6 and (-3)\/(-2) + ((-102)\/33 - x).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 5. Let q be k(5). Suppose q = 4*h + t - 9, 2*t = -3*h - 2*t + 23. What is the units digit of -2*h*(-19 + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 7*z - 4. Let d be v(6). Let i be (d - 0)\/(3\/(-348)). Is 8 a factor of i\/(-28) - (-2)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.7 - 8.13. Let f = u - -0.03. What is the third smallest value in f, 5, -0.32?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*q - q + 77*q - 480 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -884 = 278*l + 1014 - 3020 - 4438 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/5 + k**3 + 6*k**2\/5 - 4*k\/5 - 8\/5.\nAnswer: (k - 1)*(k + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -32\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 + 4*c - c + 0*c**3 - c**2 + c**4 + 4*c in the form i + a*c**4 + w*c + f*c**2 + z*c**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/8 (b) -0.03 (c) 1\/8 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 864 (b) 0.7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/8*3*(4 + 8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 196 and 12.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 25*s + 6. Determine t(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6 = 5*s, 3 = t - 5*s. Let m be 3 + (-3 - (-8)\/t). What is the third smallest value in m, 5\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/8 + (-378)\/(-56). Let o = n - 4. Suppose -10 = -o*d + 14. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13, -49, -91, -133, -169, -193?\n\"Answer: j**3 - 9*j**2 - 16*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j + 1. Let z(o) = -6*o + 1. Let r(f) = -4*a(f) + 3*z(f). Let v = -11 - -7. Let l = 6 + -3. Let t(n) = 2*n - 2. Give l*t(d) + v*r(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32530 - -20?\nAnswer: -32510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 991.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 3*s + 11, -146*n - 5 = -151*n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6)\/o**(-2))\/((o\/(o*o\/o**(-2\/5)))\/o*o)**(1\/6) assuming o is positive.\nAnswer: o**(-113\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 293328 and 42672?\nAnswer: 37252656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 336, 674, 1012, 1350, 1688, 2026?\nAnswer: 2364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3838935 and 15?\nAnswer: 3838935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100 - -118 - (-1 + -12)) + -10?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -435.787? (a) -0.2 (b) -3 (c) 2\/11 (d) 0.4 (e) -6 (f) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 4\/5*u - 1\/5*u**2 - 2 - 2\/15*u**3. Suppose k(r) = 0. Calculate r.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - (-11964)\/(-1708)) + 4. Let x be -1 - 2578\/(-3416) - 1. Let q = g + x. Which is the second biggest value? (a) 2 (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -18*y**5 - 381*y + 28*y**4 + 9*y**5 + 3500 + 152*y**3 - 1480*y**2 + 5*y**5 + 719*y + 1562*y = 0.\nAnswer: -7, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 612 or 7\/29?\nAnswer: 612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*w - 6*j + 13, -4*w - j + 7 = 0. Let i(l) = 316*l + 2. Let y(d) = 472*d + 4. Let c(b) = 8*i(b) - 5*y(b). What is the units digit of c(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14626\/13 - 1125. Calculate the common denominator of a and -103\/102.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*i**2 + 2*i**2 - 4*i**2)*(-3*i + 6*i - i)*(-4*i**2 + 7*i**2 - i**2).\nAnswer: 24*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -7*w**4\/2 + 5864*w**3 + 30261*w**2\/2 - 47839*w + 26848 = 0?\nAnswer: -32\/7, 1, 1678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 351 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + -244?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -47, -91, -149, -221?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 972736883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*h - 20. Let q(x) = -2*x - 4*x + 7*x**2 + 14 - 8*x**2. What is the smallest common multiple of q(-6) and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1670 + -1670 - (-34 - (-2 + 1)) - 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 22*q**2 - 25*q + 2976. Give x(-27).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4 = 4*i. Suppose -4*f + f = 3. Let u = 4 + f. Solve 4*r + i*a = 0, -4*r + 4*a - 5*a = u for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 + 9.08. Let y = -2.95 + p. Let b = -6.6 + y. What is b rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -0*c + 23. Let s = -12 + c. What is the remainder when 32 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/3)\/((323\/(-19))\/51).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 5\/192 (c) 2 (d) 20 (e) -18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/2)\/(9\/(-918)). Let n = a + 169. Calculate the highest common factor of n and 368.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 16*c. Let y(q) = q**2 - q - 1. Let b(h) = 4*h**2 - 3*h - 3. Let r(w) = -2*b(w) + 6*y(w). Calculate a(r(o)).\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, 0.3, -39 in decreasing order.\nAnswer: 4\/5, 0.3, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -33, -32, -21, 0, 31, 72?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -4, 11 in ascending order.\nAnswer: -4, -3, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 439614, 879237, 1318862, 1758489?\n\"Answer: c**2 + 439620*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -39, -4\/3, -2, -0.04, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 59141.76 to the nearest one thousand.\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j**4\/7 + 2*j**3 + 110*j**2\/7 - 158*j\/7 + 40\/7 = 0. What is j?\nAnswer: -4, 1\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/15*-1*(-33)\/(-1). Calculate the highest common factor of 99 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -6*b + 10*b. Suppose -3*p + 8 = 5*m - 7, 4*m - 2*p - 12 = 0. Suppose 23 = m*d - 4*d. Are d and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0+-1700\nAnswer: -1700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2*-2.20636\nAnswer: -4.41272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (10 - (11 - -13))) + 1 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zl when two letters picked without replacement from {w: 4, l: 3, z: 1}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3 = -3*x + 8, -x = -3. Find the third derivative of -10*y - 7*y**2 + o*y + y**3 + 12*y + 26*y**4 wrt y.\nAnswer: 624*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2065*m - 35103. Calculate o(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-5))\/(3444\/(-1968))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12, 46, 110, 210, 352, 542, 786?\n\"Answer: j**3 + 9*j**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0, 46 in decreasing order.\nAnswer: 46, 11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + t = -2*w + 16, -5*w + 2*t = -33. Solve i - w*i - 8 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 6*g**2 + 2*g + 23. What is i(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 2*t - 3*t + (-1 - 3 + 2)*(0*t + t - 3*t))*(423 + 490 - 713).\nAnswer: 1000*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 - 17*g**2 - 7*g + 20. Let t be n(-8). Let a(h) be the first derivative of -1 - 19\/2*h**2 - t*h. What is the first derivative of a(i) wrt i?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 - -79. Let x be l\/35 + ((-33)\/(-5) - 0). Suppose -9 = 4*a + x. Let i(u) = -u + 5. Let z(s) = 3*s - 11. What is a*z(t) - 9*i(t)?\nAnswer: -3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, x: 7}. Give prob of picking 1 b and 1 x.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -39164.\nAnswer: -1\/9791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, -15, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2. Let b(y) be the second derivative of y**4\/6 - 18*y. Determine b(n(x)).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 20*n + 480. Let s be f(34). Suppose -2*r - 4 + 23 = u, 5*u = 2*r - 25. Let z = r - 3. Solve -3 = s*y - 3*p, -y = -4*p + z + 10 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.37 + 3.37. Which is the fourth smallest value? (a) 0.2 (b) -43 (c) 2 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, y: 2, z: 2, o: 8}. Give prob of sequence oo.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 385 + 12982. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1509152213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 16 = 5*l - 4*p, 2*l - 13 = -p. Suppose -50*y = -51*y + l. Solve -y*q = -4*n - 20, 3*q - q - 20 = 4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 287749, 1148897, 2584151, 4593517, 7177001?\nAnswer: 10334609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -13.1. Let f = w - 6.2. Is 3 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 377328 and 21128.\nAnswer: 996523248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 2 - -8) + -3 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**0)**(2\/21)\/((c\/(((c*c**(1\/7))\/c)\/c*c))\/c**(2\/7)))**41 assuming c is positive.\nAnswer: c**(-410\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 0.4. Let a = 5.9 - 6. Put -0.5, g, a in decreasing order.\nAnswer: g, a, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168 and 3048.\nAnswer: 21336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169719385.\nAnswer: 5, 11, 61, 50587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1614*o = -1320*o + 3327*o + 3144 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 5*a**3\/3 + a**2\/2 - 6*a + 50. Is i(9) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x = -14*x - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -214818, -214821, -214822, -214821?\nAnswer: -214818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -469*q + 4830 + 13930 = 0 for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**2. Let m(u) = -28*u - 103. What is m(j(q))?\nAnswer: -84*q**2 - 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1646\/1233 - 2\/1233. Suppose 5*a - 8 - 2 = 0. Let 2*f + h + 2\/3*f**a = 0. Calculate f.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 4:11 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**4\/4 - i**3\/3 - i**2\/2 + 10*i - 1. Let x be d(0). Is (-2250)\/(-14) - x\/(-35) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4627176 (base 8) in base 6?\nAnswer: -42535502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y**2 - 15. Let w(b) = 16*b**2. Give i(w(v)).\nAnswer: -1280*v**4 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217*a - 234*a + 34 = 0. Solve -a*o + o - 5 = -3*w, o + 5*w + 5 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/4, -3\/2, -29, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1263 is divided by 111?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.003, -2, 10.7, 6032, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-75)\/190) - (-27)\/(-45).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.309532 to two dps.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/3 (b) 1\/12 (c) 5\/8 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1973495272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -2*s + 12 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/432 and -145\/1188.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2907434 to the power of 1\/3, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 + -19 + 19 - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u**3 - 1893*u**2 - 8*u - 4. Let h(i) = -i**3 - 3*i**2 - 2*i - 1. What is 4*h(m) - v(m)?\nAnswer: m**3 + 1881*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 453*w + 6*w**2 - 454*w - w**2 + 15*w**2 to s*w**2 + o + l*w and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(30)\/sqrt(40)*-6)**2.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58768c (base 13) to base 10.\nAnswer: 2101462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**3 + 2*r**3 - 2*r**2 + 2*r**2 - 17*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 192\/17?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19.7 + 19. What is the nearest to 0.1 in 4, c, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*d**4 + 0 + 14*d**4 + 7 wrt d.\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -53672, -53688, -53720, -53774, -53856, -53972, -54128?\n\"Answer: -a**3 - 2*a**2 - 3*a - 53666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + (41 - 16) + -27.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**2 - 7*k + 10. Let v(s) = s**2 + 23*s - 75. Let r be v(-26). What is the remainder when g(r) is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6\/7, 8.8, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5691*w - 722. Is o(-23) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1502 + 29?\nAnswer: 152b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4460 (base 7) to base 9.\nAnswer: -2178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oofonfnokf. What is prob of sequence kf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 6 = 26. Suppose -2*h + 4*t + 50 = 0, -h - 87 = -5*h - j*t. Let p = 272 - h. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 9*o**2 + 5*o - 17. What is the tens digit of z(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4670*h**2 - 5604*h + 11208. Let y(c) = c**2 - c + 2. Determine -p(f) + 5604*y(f).\nAnswer: 934*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6396 - 6396. Put -5, -23, a, -6 in descending order.\nAnswer: a, -5, -6, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 4003102.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12369 and 3261426.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 - 3*q + 10*q + 2*q**4 - 9*q + 3 as f*q**4 + g*q + h*q**2 + z*q**3 + v and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + -10 + 9 + -3 + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 9 + 3 = -2*i, 5*z - 15 = -i. Suppose y + z*y - 12 = 0. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -2*f**7\/21 + 8*f**6\/15 - 6*f**5\/5 + 4*f**4\/3 - 2*f**3\/3 - 25*f. Solve u(g) = 0 for g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 0 - 7*a**2 + 0*a - 1\/120*a**6 + 0*a**3 + 0*a**5 - 1\/6*a**4. What is the second derivative of b(t) wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (3 - 16)) + 548 + -572\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m**3 - 4*m**3 + 2*m**3)*(9 + 15 - 36) in the form j*m**3 + z + s*m**2 + k*m and give j.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 671026\nAnswer: -67102.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 16*x**2 - 26*x + 79. Let i be v(-15). Let h = i + 288. List the prime factors of h.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 27*j - 5. Give x(-31).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1177137 at most -1177172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6720 divided by 42?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 43165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9559 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t**2. Let y(l) = -5*l - 7. Let v(d) = -d - 1. Suppose 9 = -3*n + 4*b, -n + 2*b = -0*b + 3. Let p(c) = n*y(c) + 21*v(c). Determine p(o(q)).\nAnswer: 42*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-455)\/468 + 4\/18\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 5, 2\/5, -128, 0.10709?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 14*g**2 - 12*g + 21. Let m be f(-13). Suppose 7 = -b + m. Suppose 1 = -x + 6. Solve b = x*z - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -m + 8, -143*m + 142*m + 11 = -3*x. Which is the closest to -4? (a) m (b) -2 (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*i + 69*i - 8 = -2*f, -2*i = -4*f. Solve 4*m + 16 = i*t, -2*m + 0*t - 7 = -3*t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*q*s**2 + 2711547*q*s - 5544*q - 2*s**2 + 455 wrt s?\nAnswer: -6*q*s + 2711547*q - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x = -2*z - 23*x + 9, 4*x = 4*z + 12. Which is the closest to z? (a) 13 (b) -1 (c) 0.4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2655 or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3161 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 2. Suppose 11 = i*w - 31. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-1792)\/(-616) - (-34)\/11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -862, -261, 1350, 4469, 9594, 17223, 27854?\n\"Answer: 83*b**3 + 7*b**2 - b - 951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*n + 169, -4*c + c = -5*n - 134. Let d = c - -1. Calculate the remainder when d is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1612981 divided by -4\nAnswer: -1612981\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 2*j + 76, -9*g + 693*j - 696*j + 174 = 0 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*b + 98*b + 765 = 5*x, -5*b = 0. Is x + (4 + 1)*(-46)\/115 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 7)*(6*c - 2*c - 2*c) + (-21 + 21 - 14*c)*(-3 - 2 + 6)*(0 + 3 - 5).\nAnswer: 22*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233275.\nAnswer: 5, 7, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 70*d**2 - 43*d - 5. Calculate x(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2782*q = -2258*q - 5764 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521763?\nAnswer: 3, 11, 97, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-2)*1*-44*32\/1408.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5627 is divided by 145.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1891*q**4 + 459*q**2 + 6119140.\nAnswer: -7564*q**3 + 918*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**6\/2 - 3*s**4\/4 + 4. Determine k so that t(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 7*f**2 + 9*f. Let l(d) = d + 24. Let z be l(-16). Let j be o(z). Suppose -7*k - 3 = -j*k. Solve -k*a = a - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 430*l - 196. Is 34 a factor of p(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/(p\/((((p*p\/p**(-1\/3)*p)\/p)\/p)\/p)*p))\/p)*(p\/(p**(2\/15)\/p))\/p*(p\/(((p**3*p*p)\/p)\/p))**(-4))**(1\/12) assuming p is positive.\nAnswer: p**(173\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 112309 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 400?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 214722 or 0.2?\nAnswer: 214722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2565395292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1891583607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1052970 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g - 2*g + 3*g + (13 + 8*g - 13)*(-1 - 5 - 2) - 2*g + 2*g - g.\nAnswer: -66*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 3*z + 2625. Calculate the greatest common divisor of 15 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**2 - 38*r**3 + 3*r - 1183 + 2369 - 1185 + (4 + r - 4)*(2*r**2 + 3*r**2 - 3*r**2) in the form d + a*r**3 + q*r + i*r**2 and give a.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/17? (a) 155\/2 (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 271\/133 - 36\/19. Let q = -6\/13 - -68\/91. Which is the nearest to k? (a) q (b) 4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 80b2?\nAnswer: -80b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*f**4 + f + 6*f - 5*f + 13*f**4 wrt f?\nAnswer: 360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 4*z + 2. Let d be u(4). Let l be 0\/(1\/2*d). Find the first derivative of -3*k + l + 4*k + 2 wrt k.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-6 + 16) - -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhhqhhqhhqhqyyh. Give prob of sequence yh.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2, -1.9, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 11 = -3*b, 3*z - b - 15 = z. Suppose z = -2*t + 82. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-4)*106\/(-3). Suppose 2*s + f = -11. Let j = 66 + s. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/563868658 and 50\/707.\nAnswer: 3947080606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(5\/5)*7\/21. Solve -c + 4*i + 6 = 0, r*c + 4 = 5*c - 3*i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383321*f = 3*k + 383317*f, -3*k + 3*k + f - 3 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -95\/7, 4 in decreasing order.\nAnswer: 4, -95\/7, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -441.13 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.126611538 and 44301.\nAnswer: 44299.873388462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 378?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170639 is divided by 85145?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -116115.0216 - -116155. Let g = -40 + q. Round g to three decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1272 = 16*u - 4*u. Let i = u - 54. Suppose 0 = -2*s + 27 + 1. Calculate the remainder when i is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*(0 + sqrt(363))*-2)**2 - (1*sqrt(1188))\/(sqrt(11) + sqrt(275) + -1*sqrt(275)).\nAnswer: 170*sqrt(3) + 1468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzdqxdz. Give prob of sequence qz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 11*a**2 - 33*a - 18. Determine k(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + s**2 - 4*s**2)*(-s + 0*s + 0*s)*(-2*s**2 + s**2 + 2*s**2).\nAnswer: s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12775 a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2506, 2594, 2796, 3112, 3542, 4086?\n\"Answer: 57*l**2 - 83*l + 2532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-468)\/(-65))\/9*10\/4. Is p <= 14\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 339010?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*c*v**2*w + c*v*w**3 - c*v + v**2*w + 21*v*w**3 wrt c?\nAnswer: 17*v**2*w + v*w**3 - v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 7*v**2 + 2*v + 1. Let z be o(6). Sort 5, 1, z, 4.\nAnswer: z, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2 - 4)*(-40)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2. Let k(c) be the second derivative of -c**3\/3 + c**2\/2 + 3*c - 30. Let o(h) = 12*h - 16. Let x(j) = -5*k(j) - o(j). Give x(b(v)).\nAnswer: -6*v**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 7*g - 5*q - 58, -g = 5*q + 61 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**2 - d + 1. Let c be u(-2). Let l = -13 + c. Is 496\/36 + l\/9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -204 + 234. Find the common denominator of -64\/33 and (-605)\/s + 0 - (8 + -6).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8361073?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rp when two letters picked without replacement from {e: 2, y: 2, p: 1, r: 4, c: 7}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 24 + 16. Suppose 0 = 2*y + 4*d + 4, w*y - 3*y + 70 = 2*d. Calculate the least common multiple of 5\/((-20)\/y) - 1*-9 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5b894 (base 14) to base 2.\nAnswer: 110110101011011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 f when two letters picked without replacement from effffeefeffeff?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*w - 32 = 2*t - 89*w, 3*w + 4 = 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2. Let i(d) = -6*d**3 - 15*d**2. Let b = -21 + 12. Let j(h) = -2*h - 3. Let s be j(b). Calculate s*w(u) - i(u).\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 3 = -h - 2*l, -2*h - l = 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4. Let o(s) = -7. Let u(t) = -5*c(t) + 3*o(t). Let x(l) = -3*l**2 + 11. Let z(r) = -30*u(r) - 5*x(r). What is the derivative of z(d) wrt d?\nAnswer: 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 162*q + 167*q + 12, 3*d - q - 5 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32612\/3 at most 10872?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 27*k - 964. Let s be d(40). Let p = -159 - -93. Let x = s + p. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3182 from -752.\nAnswer: -3934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -3\/2*a**2 - 19*a + 8 + 5\/3*a**3. Is c(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, s: 3, d: 1, a: 4, j: 3, n: 1}. What is prob of sequence ssfs?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 21 + 2*z + 53 - 21.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -399*d + 34707. Give a(87).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000071369 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2373318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 7*r - 6. Let v be f(5). Suppose 0 = -10*h - v + 54. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 2560?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42736543\/186 + -229767. Calculate the common denominator of 13\/16 and u.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -83, -139, -211, -305, -427, -583, -779?\nAnswer: -1021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 112457 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-42)*(-36)\/(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -3 (c) -1\/198 (d) 0.002 (e) 99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3 - 1. Let u(f) = 3*f**2 + 3*f + 6. Let a(w) = 4*w**2 + 3*w + 7. Let m(s) = 6*a(s) - 7*u(s). What is the units digit of m(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 10 + 31)*(26*o**4 - 15*o**4 - 5*o**4).\nAnswer: 336*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/(-6650)*-19)\/(3*(-4)\/(-30)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*r = 249, -2*f = -5*r - 0*r + 88. Let a = f - -41. What are the prime factors of (41\/2)\/((-17)\/a - 2)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 15. Suppose 0 = 4*r - 2*r - 10. What is the third biggest value in r, h, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 2*a**2 - 24*a - 17. Is 3 a factor of n(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -224 - -229. Let t = -5 - -2. Which is the second biggest value? (a) t (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/8, 2, -0.21, -4\/7, -1\/420?\nAnswer: -1\/420","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/7)*a*a*a**10*a**(-9)*a*a**(2\/7))**(4\/21))**50 assuming a is positive.\nAnswer: a**(800\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 3*k - 1. Let g be m(-3). Let q = g + 5. Let f = q - -63. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -767 divided by 42114?\nAnswer: -767\/42114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13\/4 - (-21)\/28. Suppose 3*x - f*z + 14 = 0, 26 - 9 = -4*x + 5*z. Suppose -5*r + 18 = -x*p, -5*p - 6 = 4*r + 6. Solve c - r = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -94 in -0.05, -0.257, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2963555 divided by -592711?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.60001 + 9.6. What is l rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 2, -5, -0.09, 0, 0.08 in ascending order.\nAnswer: -5, -0.09, 0, 0.08, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 897403 (b) -4 (c) -11 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k**2 - 131*k + 620. Calculate m(-37).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39502 is divided by 25.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 551111 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gq when two letters picked without replacement from gggq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 3*g + 2, -2*g = d - 3 + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 13*q**2 - 11*q - 3. What is c(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -914394, -1828943, -2743492, -3658041, -4572590, -5487139?\n\"Answer: -914549*d + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 103 + -106. Let j be -9 + -8 + 2\/a*-3. What is the units digit of 7 + j\/(-9) - 2\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110112 (base 3) to base 4.\nAnswer: 11102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18c9a1 (base 16) to base 10.\nAnswer: -1624481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2*sqrt(16))\/sqrt(8) + -3 + sqrt(162)*2)**2.\nAnswer: 80*sqrt(2) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/1524 and 121\/4392?\nAnswer: 557784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/8 and -45\/40279?\nAnswer: 322232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/2)*(m\/(m**(-6)*m))\/m*(m**7*m*m)\/(m*m*m\/m**(-1\/8)*m))**(1\/4) assuming m is positive.\nAnswer: m**(67\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4824, 24283, 56714, 102117, 160492?\n\"Answer: 6486*v**2 + v - 1663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (771\/514)\/((-6)\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -5*l + 41, -111*y + 1089 = 2*l + 1523 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*v - 35*v + 1694 = 0 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*i - 68*i = 245 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.7 * 1412.\nAnswer: 6636.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 31863 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -94*a + 245. Let i be d(17). Let u = 2612 + i. List the prime factors of u.\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 11 + -8 - (-2 + 4) - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)*z\/z**(2\/5)*z)**(2\/19)*(z**(-1))**(-2\/15)*z**2\/z**(-5) assuming z is positive.\nAnswer: z**(2051\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c + 3. Let u(q) = 13*q + 8. Let f(x) = -7*a(x) + 2*u(x). Let t be f(-5). Calculate the highest common factor of 25 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4551 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1374247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x. Let u(s) be the second derivative of 0 + 0*s**2 - 10*s + 7\/3*s**3. Calculate u(g(o)).\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 40\/10 - 10\/4. Let w = 6 + -6.02. What is the second smallest value in -0.4, w, c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64478 (base 9) in base 5?\nAnswer: 2331202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 418.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + g**2 - g - 10. Let x be t(0). Let r = x + 11. Let y be 11\/2 - r\/2. Solve -q - 10 = m - 0*m, -y*q - 30 = m for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 286\/78 + -23 + 1616\/78?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4 - 316*p**3 - 4963*p**2 + 114562*p - 452760.\nAnswer: (p - 330)*(p - 7)**2*(p + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 565, 2256, 5075, 9022, 14097, 20300, 27631?\n\"Answer: 564*n**2 - n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j - 6944 = -8*j. Let v = j + -673\/3. Which is the nearest to v? (a) -0.5 (b) 2 (c) -2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 3*q - 36, 5191*w - 4*q - 24 = 5192*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u**2 + 3*u + 1. Let q(c) = -c**2 + 9*c - 11. Let t be q(7). Let r(w) = w**2 - w - 1. What is t*r(x) + l(x)?\nAnswer: -2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*f - 23 = f, 0 = -2*v + f + 17. Suppose 2*b + 88 = v. Let l = b - -109. Calculate the highest common divisor of l and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5808246 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0*1\/(-5) + 22 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*w**4 - 311 wrt w?\nAnswer: -44*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1740 and 648.\nAnswer: 93960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2035 = -3289*j + 3474*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 486\/(-2430)*23\/((-4830)\/(-100)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 668*d - 8453. Give y(13).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 407*x - 406*x, w = -5*x + 46. Solve -v - 19 = -18, 3*b + w = v for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -5. Let s be (-2)\/g - 274\/(-18). Suppose 8*u = 79 - s. Calculate the least common multiple of 14 and u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, z: 2, k: 2, b: 1, q: 2, i: 3}. Give prob of picking 1 z and 1 k.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxvx when four letters picked without replacement from {o: 1, v: 3, x: 4, q: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdbgedbcdqdcdedgbddd. Give prob of picking 1 q and 1 g.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18444 and 93264.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight ninths of a week?\nAnswer: 8960","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**3\/3 - 11*v**2\/2 - 24*v - 370. What is d(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/((-8)\/(-4))*-7. Let s = 42 - q. List the prime factors of s.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u + 9. Let s be w(0). Suppose 5*b + 20 = 0, -3*n - 17 = 8*b - s*b. Sort n, 2, 0, 4 in decreasing order.\nAnswer: 4, 2, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41975 is divided by 5990.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.5137 rounded to two decimal places?\nAnswer: -5.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 17*p**2 + 141*p + 2848. Determine f(-18).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 49*d + 23. Is 52 a factor of t(29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 + -71 - (-3 + 3) - 14 is divided by (12\/10)\/((-2)\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0) + -9 + (-7 - 165 - -236)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -744834, -744838, -744846, -744858, -744874?\nAnswer: -744894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -208 - -202. What is the nearest to -0.2 in 2\/5, -1\/3, m?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-592)\/37 - -12)*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 374731, 749456, 1124173, 1498882, 1873583?\nAnswer: 2248276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 283804, 283808, 283814, 283822?\nAnswer: 283832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15 (b) -0.5 (c) 1 (d) -0.2 (e) -179005\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 8*p - 4*p)*(34*p - 195*p + 21*p).\nAnswer: 1260*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17513)\/154380 - (-18)\/186?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*w + 16 = 363*w - 2*g, -7*w - 4*g + 23 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -3*f**4\/4 - 149*f**3\/2 + 339*f**2 - 1. Let c be x(-25). Solve 0 + 3\/4*m**3 - 9\/4*m**2 - c*m = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 4*i - 3*x, 3*x + 12 = -2*i + 21 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -5*o**4\/24 - 2*o**3 - 3*o**2\/2 + 5*o. Let l(m) be the first derivative of c(m). Does 18 divide l(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -577\/15 + 149\/5. What is the common denominator of -40\/9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 9*a**2 + 10*a - 11. Let q be p(8). Suppose -q*t + 16 = -54. Calculate the remainder when t is divided by 46\/6 + (-2)\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11572750*x**2 + 7914289 wrt x?\nAnswer: 23145500*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 364950684 and 0.004.\nAnswer: 364950684.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/327029 and -51\/25758343.\nAnswer: 437891831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**3 - m**2 - 116*m + 116. Let k be b(1). Let p(a) = -a**3 - a**2 + 2. Let z be p(0). Sort z, -4, k, -5 in ascending order.\nAnswer: -5, -4, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36170605 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 278387 take away -5?\nAnswer: 278392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 203 and 35848582?\nAnswer: 35848582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -102.6 minus -0.4?\nAnswer: -102.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c3 (base 15) to base 6.\nAnswer: -1520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**5\/4 - 5*s**4\/2 + 80*s**2 - 74*s. What is k in b(k) = 0?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w**2 + 4*w + 2. Let k be (-1)\/3 + (55\/(-15) - -2). Determine y(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**6\/225 + 353*y**5\/150 - 7018*y**4\/15 + 1762736*y**3\/45 - 1560896*y**2\/3 - 6374*y. Factor f(q).\nAnswer: -2*(q - 116)**3*(q - 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 - 449*g + 89*g + 133*g + 129*g as p*g + o and give p.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -113*p**5\/15 + 58*p**2 + 1. Let m(v) = 2*v. Calculate m(u(d)).\nAnswer: -904*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 559967 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 836 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/45 of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46687.\nAnswer: 46687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbrr when four letters picked without replacement from {b: 3, r: 7}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.481 - -0.449. Let r = p - -0.07. Which is the nearest to -0.1? (a) -1\/4 (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 65163 and 4872.\nAnswer: 521304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14544 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 1 + 5*v - 1 - 3. Let w be b(4). What is the smallest common multiple of 9 and (1 - w\/1) + 0?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + (-1)\/(-2))*-8. Find the second derivative of -4*n + n + 5*n**v - 8*n**4 wrt n.\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**2 + 11*j**2 + 0*j**2 - 6*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = -35*y - 57. Sort y, 5, 2, 327.\nAnswer: y, 2, 5, 327","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 488231 - 488229 - 2*l**3 - 296*l + 0*l**3 as t*l**3 + f + i*l**2 + w*l and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 5*k**2 - 7565*k - 278820 = 0.\nAnswer: -36, 1549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -227 divided by 1?\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + h**2 - 14. Let i be s(-6). Calculate the greatest common factor of 938 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(17) - sqrt(34)\/sqrt(2)) + -4*sqrt(272))**2 + 2.\nAnswer: 4354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 8963.54287 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 779*p**3\/3 + 661*p - 10. What is the derivative of x(a) wrt a?\nAnswer: 1558*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -15*j**2. Let u(o) = -141693*o**2 + o - 3. Give u(q(z)).\nAnswer: -31880925*z**4 - 15*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.074 + 1.074. Which is the closest to 2? (a) v (b) -0.08 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) 0.3 (c) -5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * 8\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1598712 and -115\/28.\nAnswer: 11190984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 + 0 - 3*p in the form u*p + l and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -p - 5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*k - 2*x + 12 = -26*k, k + 4*x - 6 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.276595 - -1736.5788?\nAnswer: 1736.302205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 7:57 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24490*m**2 + m**3 - 24490*m**2.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408 is divided by 69.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11460 divided by 60\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.0839 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 5ef433?\nAnswer: 5ef432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -2\/7 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -y**6\/60 + y**5\/15 - 9*y**4\/8 - 4709*y**3\/6 + 34*y**2 - 20*y. Differentiate n(p) with respect to p.\nAnswer: -6*p**2 + 8*p - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/((-18)\/6 - -5). Solve -5*n = -m*n - 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/6*-2 + (4 - 4). Let b be (-8)\/(-6) + (-3)\/(-9)*j. Does 11 divide (145\/10)\/(b\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 5*y**4\/12 + 27*y. Let a(q) = 7*q. Give a(h(c)).\nAnswer: 35*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -1777*x - 145. Does 12 divide b(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125 (base 7) to base 14.\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 354539.\nAnswer: -141815.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87\/280 - -1\/40. What is the second smallest value in 11, -2\/11, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -50 - (2 + 3\/3). Suppose -300 = 18*q - 23*q - l, -4*q + 3*l + 221 = 0. Let u = n + q. What is the smallest common multiple of u and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40*756\/(-8400) + 25\/(-4) + 4\/16\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6}. What is prob of sequence ooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52398 or 52389?\nAnswer: 52398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45081\/22 - -2054. What is the common denominator of -123\/10 and h?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*d + r + 2*r, -26 = 3*d - 5*r. Let u = d + 10. What is the third smallest value in 1\/5, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -179 + 1256\/7. Let i = 44966\/51 - 15000\/17. Which is the closest to -19? (a) -3 (b) k (c) i (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mdd when three letters picked without replacement from {d: 10, m: 4}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d + 0*d - 3*d - 2*d - 5*d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12733 + 203807\/16. What is the common denominator of d and (-134)\/36 + 2\/2?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 16) in base 3?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -424371, -424378, -424403, -424452, -424531, -424646?\nAnswer: -424803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 15.5. Let o = -15 - -14.83. Let m = o + 0.16. What is the closest to -1 in m, 2\/7, w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -6. Let t be 1\/18*(-6)\/l. Let v = -28 - -23. Put v, t, 3 in descending order.\nAnswer: 3, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -177\/20 - -27\/20. Let w = -33\/4 - f. Let n be (-90)\/(-36)*-3*(-4)\/(-10). Which is the second smallest value? (a) n (b) -4 (c) 5 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-35))\/(-2*(-14)\/(-280))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 12, -189, 77 in descending order.\nAnswer: 77, 12, -4, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 108879.4 to the nearest one thousand.\nAnswer: 109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -52011?\nAnswer: 52010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 806322787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13, -63, -147, -265?\n\"Answer: -17*z**2 + z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1177 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 612 and 306.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) 4\/7 (c) 0.5 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158526?\nAnswer: 2, 3, 8807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/7 - 37980*l\/7 + 120206700\/7.\nAnswer: 3*(l - 6330)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p**3 - 5*p**2 - 181*p - 178. What is o(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 555280 and 528.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1273 + 0.1727. What is the fifth biggest value in -3, 2\/37, 0.04, a, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 less than 4?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 30348, 30168, 29988?\n\"Answer: -180*k + 30528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**3 - 36*d**2 - 37*d - 33. Give x(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q - 15. Let l be a(6). Suppose -t - 11 = -2*n + 6, -19 = -l*n - 5*t. Find the first derivative of -2 + n - o**3 - 1 - 1 wrt o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2541) + sqrt(2541)*-2 + sqrt(2541))*-2)\/(sqrt(700) + (sqrt(700) - -6*sqrt(700)*2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 258437?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 299.99999084 + -300. Round s to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 + (7 - (2 - 6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/(-8)*8\/4*(98\/(-7))\/84?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/36516 and -13\/60?\nAnswer: 182580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 + (-7 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**2)**(2\/99)*o*o*o*o\/(o\/o**(2\/7))*o\/(o**(-8)*o))\/((o\/((o*o**(-6))\/o)*o**(3\/7))\/(o**(-2))**(-12\/5)) assuming o is positive.\nAnswer: o**(29927\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -47*y - 154. Let w be h(-14). Calculate the highest common divisor of w and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -0*r + 15. Find the second derivative of x + 3 + 0 + 2*x**2 - r wrt x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100100 + 101?\nAnswer: -100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7313074 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1262 + -1138. What is the remainder when z is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-4) + 13\/2. Calculate the remainder when (-76)\/(-2) + (5 - z) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3534003 - -5 - (-6)\/(-2). Let l = s + 130747049\/37. Let g = 297 + l. Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 20*w + 107. Let j be f(10). Let n(i) be the first derivative of -j + 7*i + 1\/2*i**2. Give n(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/168)\/((-2)\/4)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one sixteenth of a millimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 + 36 = -7*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9066564852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*y - 29, -2*k + 3*y = 2*k - 27. Suppose -5*q + 114 = 2*h, -k*h + 176 = -0*q + 5*q. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11659616*z**3 - 5829958*z**3 - 5829902*z**3.\nAnswer: -244*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + -29. Suppose 0 = 2*b - n*t + 933, -5*b - 3*t - 2275 = t. Let m = -10 - b. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14200344 to the nearest integer?\nAnswer: 3768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.5, -22, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 3. What is the nearest to -0.1 in -5\/6, 3\/4, r?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(117) - ((2*1*sqrt(13))**2 - sqrt(13)) - ((sqrt(1300) + 1)**2 - sqrt(1300))*1.\nAnswer: -1352 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*l**5 - 58*l**4 - 16*l**3.\nAnswer: -l**3*(l + 8)*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2395688 + -5412466.\nAnswer: -3016778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11624248 is divided by 150.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 12 = h - 4*h, -5*h + 18 = 3*r. Let q(y) = 3 - r + 37*y - 8*y - 1. Does 10 divide q(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7 - 10*t**2 + 7*t**5 + 6*t**2 + 7 wrt t.\nAnswer: 420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 17*n - 6*n**2 + 454 - 105*n + 18*n**3 - 17*n**3 + 186 - 8*n = 0.\nAnswer: -10, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31966 - 9995. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -575\/2, -2\/11, 3\/5, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -331, 417, 2239, 5129, 9081, 14089, 20147, 27249?\nAnswer: 35389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6340155.\nAnswer: 3, 5, 167, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 59.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.8 - 0.8. Let x = 2.99999984 - o. What is x rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1357236 and 27?\nAnswer: 1357236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -223100.339 + 223480. Let q = 533.6055 - y. Let n = 154 - q. What is n rounded to three dps?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -101106811579\/3315 - -30499793. Let y = -2\/1105 + g. Factor -y*h**3 + 8\/3*h - 8\/3 + 2\/3*h**2.\nAnswer: -2*(h - 2)*(h - 1)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/5)\/(5\/(-25)). Let a = 8 + -4. Let y(d) = -a*d + 11*d - r + d**2 + 7. Give y(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 1\/4*y**4 + 0*y + 1\/12*y**5 - 17\/6*y**3 - 38*y**2 + 0. What are the prime factors of i(6)?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/27*-1*12\/14.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, f: 2, p: 2, k: 1}. What is prob of picking 1 k, 1 p, and 1 s?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + i + 116 = 4*m, 3*m - 62 = 2*i. What is the greatest common divisor of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 201.4 - 200.3. Let w = 0.2 - 0.1. Which is the biggest value? (a) v (b) -2\/15 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 717917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -101478, -405936, -913366, -1623768, -2537142, -3653488?\n\"Answer: -101486*t**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001111011 - -10101111?\nAnswer: 10100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a + 255. What is the hundreds digit of z(-29)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1209*q - 1228*q + 298 + 2438*q as v*q + f and give f.\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5*c - 96, c + 552 = 5*v - 0*c. Let a = v + -46. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233373393 to the power of 1\/3, to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5.4711 times 1252\nAnswer: 6849.8172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.390352222 rounded to 3 dps?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -4 (b) 4 (c) -7.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 4*k + 42 - 10, -3*b + 16 = -5*k. Let z(o) = 2*o. Let n be z(2). Suppose 0 = m + y + 2, 0 = -n*m + y - 4*y - 8. Which is smaller: m or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*n + 20. Suppose 2*t - 5*p + 10 = 0, -n*p = -2*p - 12. Solve 2*g + 5 = 5*m + 5*g, 0 = -t*m - 4*g + 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6477302 by -2.\nAnswer: -3238651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 + -19. Suppose 16 = 3*u + 2*m, 4*m - 5*m - f = -5*u. Let c be 2 - (-4)\/(8\/u). Solve 1 = -c*j - 7, -l + 2*j + 1 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + ((sqrt(85) - sqrt(85)*-5)*2 + sqrt(85) - sqrt(85)) - sqrt(85))*6*1)\/(-1*(6*sqrt(5) - sqrt(5)) + -2*(sqrt(5) + (sqrt(5) - sqrt(5)*3))).\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -359*m**3 - 3*m**2 + 238*m + 3. Let j(q) = -q**2 - q + 1. Let r(y) = -a(y) + 3*j(y). Find the second derivative of r(f) wrt f.\nAnswer: 2154*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -2 + 0)\/(-1). Let z be ((-14)\/147*-3)\/(2\/6). Is y != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*y**2 + 22\/3*y - 2\/3*y**3 - 4.\nAnswer: -2*(y - 1)**2*(y + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(2\/3))**(-17))**(-1\/4))**(-35) assuming x is positive.\nAnswer: x**(-2975\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*b + 2*b + 0*b)*(-2 + 4 - 2*b + 1).\nAnswer: 12*b**2 - 18*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 11:42 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*m = 11, 3*p + 0*p + 4*m = -3. Let v(j) = -6*j**3 + 12*j**2 + 5*j - 2. Let i(c) = 5*c**3 - 12*c**2 - 4*c + 2. Give p*i(d) - 4*v(d).\nAnswer: -d**3 + 12*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -248389389*v**3 + 93147851*v wrt v.\nAnswer: -1490336334*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 15 + 3*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0459 - 0.4907. Let a = -29.1652 + v. Round a to zero dps.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14628 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122998449?\nAnswer: 3, 7, 743, 7883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2 = -g + 2, 0 = 2*g - 3*r - 8. Suppose -g*u = -6*u. Suppose 6*h - 28 - 488 = u. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 3500122453?\nAnswer: -3500122501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*y - 2*y + 44, 0 = -b - 2*y + 18. Suppose -9*o = -284 - 40. What is the highest common divisor of b and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10124 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 23 * -0.7\nAnswer: -16.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17326574*h**2 + 34653038*h**2 - 17326549*h**2.\nAnswer: -85*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7649 - 3?\nAnswer: -7652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10344 - -4545568108.\nAnswer: 4545578452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-44.\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l - 189. Let j(p) = p + 108. Let r(k) = -7*j(k) - 4*m(k). Let i(g) = 21*g**2 - g. What is i(n) - r(n)?\nAnswer: 21*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = u - 2*u. Let g(i) = i**2 - 8*i + 265. Is g(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + -574. Let g = 604 + l. Let d = 3 + -5. What is the closest to g in 1, d, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7862 + -5348. List the prime factors of j.\nAnswer: 2, 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -2, 697, 0, 7, 13.\nAnswer: -3, -2, 0, 1, 7, 13, 697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 9*l + 15 = -12*l + 5*t, 3*l + 12 = 4*t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -74?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of 32*l**2 - 139\/60*l**5 + 0*l + 59\/12*l**4 + 0*l**3 + 2. What is the second derivative of x(s) wrt s?\nAnswer: -278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 7*v + 8. Suppose -15 - 3 = 3*t. Let q be d(t). Suppose 0 = q*c - 1 + 5. Let z(a) = -2*a - 3. What is z(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**3 - 3*o**2 + 8*o - 8. Suppose 3*l = -2*l + 20. Let i be x(l). Let m be 2\/(-9) - 84\/i. Does m = -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.789 times -17?\nAnswer: 13.413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -21. What are the prime factors of -7 + a - 1 - -78?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 7 = -0*h - 3*g, -3*g - 15 = 0. Solve h*c + c = -9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/3)\/((-3)\/2). Let r(n) = n**3 + n**2 - 2*n. Let o be r(-2). Suppose o*w + 3*w - 24 = 0. What is the greatest common factor of q and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434 = 4*t + 3*i - 406, -29*t - 3*i = 53 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 249319731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -1399 = -36894?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 7*t**2 - t + 1. Let p be u(-2). Suppose -5*j + 3*g = -p, 4*g + 0*g + 18 = 2*j. Which is the third smallest value? (a) 2 (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -8. Let c be 3\/(-1*3) + l. Let y = c - -12. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8850 + -8849.954. Put m, -1\/10, -2 in descending order.\nAnswer: m, -1\/10, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 8:44 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 7*o - 7. Let r be m(-4). Suppose r*c + 3*l = 17, 5*c = l + 4 - 3. Calculate the least common multiple of 22 and (-245)\/(-15) - c\/3.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 1836303\nAnswer: -4\/612101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000041299 to 6 dps.\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 8:23 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -99*n - 155. Let t(h) = -2*h + 31. Let x(b) = -5*t(b) - u(b). Let o(p) = -11*p**2. Determine o(x(c)).\nAnswer: -130691*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 + 48 - 17 + 35)*(-4 - 4*r + 4) to j*r + c and give j.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10892*o - 87813 = 10883*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 294 - 283. Suppose 0 = 3*x + 5*d + 2 + 11, 2*x - 5*d - 33 = 0. Let n be x\/14 - (-116)\/(-112). Put 4, q, -4, n in increasing order.\nAnswer: -4, n, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**5\/60 + w**4\/8 - w**3\/3 - 4*w**2. Give a(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2 + 206*t**2 - 198*t**2 - 17 - 3*t. What is the hundreds digit of z(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2109757 bigger than -2109761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55.26 - -6.34. Let m = 54 - o. What is m rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 5:58 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 14)\/(18\/12). Suppose -5*z = j - 3, 2*z - 14 = -2*n. Calculate the lowest common multiple of 140 and n.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 8*r**2 - 7*r + 3. Let k be m(-7). Let g be (-1)\/2 - (-26)\/(-4). Let j = g + 12. Sort j, k, -4 in descending order.\nAnswer: j, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(405))*2 - (-1*sqrt(405))**2*1.\nAnswer: -407 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41568, -83129, -124696, -166263, -207824, -249373?\nAnswer: -290904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11022 (base 3) to base 14.\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-102 - (-92 + 63)) + 59?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -28*k + 10. What is z(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -520, -1596, -3400, -5932, -9192, -13180, -17896?\nAnswer: -23340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 11, -2, 5, -5 in ascending order.\nAnswer: -5, -2, 1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 3*n - 45 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*c + 4*y = -70*c - 5, 134*c = 5*y + 134 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39.1 + 38.7. Sort w, -2\/7, 0.5, 1\/38 in descending order.\nAnswer: 0.5, 1\/38, -2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjvvbvvbjjvjjbb. Give prob of picking 1 v and 1 j.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h**4\/4 + 29*h**3\/3 + h**2\/2 + 31*h - 32. What is the smallest common multiple of 72 and j(29)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/((l*l\/((l*l\/l**(2\/5))\/l))\/l*l)))**29\/(l**(4\/3)*l\/(l\/(l*(l\/(l*l**(22\/7)\/l*l))\/l)*l)) assuming l is positive.\nAnswer: l**(4558\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(4 + -2 + 4 + -2))\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 4. Let n = 20 - s. Suppose -2*z + 42 = -4*l + 10, -z + 3*l + n = 0. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/5 - 104992*v\/5 - 504192.\nAnswer: 2*(v - 52520)*(v + 24)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 142*f - 139*f + 12 = 0, 0 = 4*v - 42*f - 168 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 387, 369, 351, 333, 315?\nAnswer: 297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -9*j + 180. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 773523 + -2211?\nAnswer: 771312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-30)*(-72)\/288)\/(1\/34).\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, u: 2, z: 5}. What is prob of sequence zgg?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 74*t**2 + 70*t - 183. Determine i(-73).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-5)\/x*x\/(x**19*x))\/((x*x**17)\/x*x**(-2\/15)) assuming x is positive.\nAnswer: x**(-598\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -16 and -21523923.3.\nAnswer: -21523939.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 < -4533\/766?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (-2 + 1) - 15. Let n = k + -10. What is the units digit of 2\/(-5) - 160\/n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**2\/2 + 18. Let n(l) = -22*l**2 + 66*l**2 - 30*l**2. What is y(n(q))?\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 4:45 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2662584, 5325155, 7987718, 10650273?\nAnswer: 13312820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d. Let m be (-15)\/(-35) - (-176)\/14. Let i(l) = l - 11. Let o be i(m). Let h(q) = -q**o - 2 - 3 + 5. Determine h(c(b)).\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - (-1188)\/44 - 33?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-6) - (-8)\/6. Suppose 2*t = -2*i + 36, 3*i = -t + 4*t + 36. Is (-7*o)\/((-10)\/i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 6*i + 5. Let c = 10 + -3. List the prime factors of h(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 - -157\/4. Suppose -3*i = -3 + 6. Let l be (i - 0\/1)\/(-1). Which is smaller: z or l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25426 + -25410. Calculate the remainder when 141 is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -614968 by 6.\nAnswer: -307484\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -41, -33, -13, 25, 87, 179, 307?\n\"Answer: c**3 + c - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 - 33*p + 488. What is the smallest common multiple of q(12) and 200?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33296 - -33301. Let t = -8 + 10. Let u be (1 - t) + (-32)\/(-28). Which is the closest to -1? (a) u (b) 3\/5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*-6*sqrt(88))\/((sqrt(960)\/sqrt(3) - sqrt(20))\/(sqrt(640)*1)).\nAnswer: 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2023859 is divided by 356.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*m**3*y + m**2*y**2 + 45*m**2 - 7*m*y**2 - 2*m*y + 194*m + y**2 wrt m?\nAnswer: 24*m*y + 2*y**2 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u - 1950000 = -35*u. Round u to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-3 + 6 + 1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90246?\nAnswer: 2, 3, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-2)\/30 + (-816)\/(-45). Sort d, -3, 5, 0.\nAnswer: -3, 0, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -3*c**4\/7 + 6822714*c**3\/7 - 54581571*c**2\/7 + 115985760*c\/7 - 9746700 = 0.\nAnswer: 1, 2, 5, 2274230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 0 + sqrt(80) + 0 + sqrt(10)\/sqrt(2) + -4)**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18157, -145304, -490419, -1162486, -2270489, -3923412, -6230239?\n\"Answer: -18164*x**3 + x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14230 - -14235. Let m = 3 + 0. Suppose z - 348 = c*y, 4*y - 710 = m*z - 5*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 42*a**2 - 70*a + 158. What is the remainder when c(40) is divided by 182?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-6))\/(3\/(-9)). Solve -u + o = 0, -3*u + 2*o = r + 4 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 39890, 80148, 120406, 160664?\n\"Answer: 40258*c - 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**5 + 17*s**4 - 5491*s**3 + 6624912*s**2 wrt s.\nAnswer: -120*s**2 + 408*s - 32946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -364, 5, -4, 10, -2 in decreasing order.\nAnswer: 10, 5, -2, -4, -364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78562, -314989, -709028, -1260673, -1969918, -2836757, -3861184?\nAnswer: -5043193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95 and 20424335?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 11128*o**2 - 65*o - 73. Let x be c(11). Round x to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 238.4 - 225. Let l = f + -13.4000109. What is l rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-181*k - 555*k - 81*k - 26*k)*(1 + 3 + 3).\nAnswer: -5901*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 135 + -127. Determine k, given that -y*k**3 + 80*k + 17*k**3 - 16*k + 28*k**2 - 256 - 7*k**3 = 0.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 721459992 to the power of 1\/2, to the nearest integer?\nAnswer: 26860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01163107 rounded to 5 decimal places?\nAnswer: 0.01163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 q when four letters picked without replacement from jjjojjjqjjjjj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 16430*q + 69138 + 69146 - 138284 as y + t*q and give t.\nAnswer: 16430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.555002762 rounded to 3 decimal places?\nAnswer: -9.555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/4 + 4\/16. Suppose -5*w = -y*w - 10. Solve w*z - 7 = -a, 4*a + z + 7 = -0*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 30. Solve 0 = 4*z + q - 36 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 16*m + 14. Let w be d(-3). Let o(p) = 21*p + 147. Let h be o(w). Solve -f = -h*f + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5059\/20 - -1095\/4. Which is smaller: v or 21?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from scsgcgsgccgggccsc. Give prob of sequence gc.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 181.471 micrograms to kilograms.\nAnswer: 0.000000181471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 324, -4, 51.\nAnswer: -4, 51, 324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 3*n + 3, 2*z + 24 = -5*n + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**6\/105 + 13*y**5\/70 - 43*y**4\/42 + 5*y**3\/7 + 72*y**2\/7 - 1456*y. Suppose u(j) = 0. What is j?\nAnswer: -1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 159172 and 195884.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-4))\/((-3)\/48). Let g be 1*5 + (15 - (-488)\/(-24)). Let w be (1 - 1)\/(10 - 11). What is the closest to -2\/3 in g, w, b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -181.848 + -0.152. Let t = -270 - r. Let q = t + 89. Do q and 22 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m = 17*m - 30. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/((y**7\/y)\/y)))**(-14\/5))**(-2\/87) assuming y is positive.\nAnswer: y**(28\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.26 + -0.13. Let v = -0.07 - q. Which is the second smallest value? (a) -2\/9 (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 52 (b) -0.5 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooddadaada. Give prob of sequence oo.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2 = 2*a - 6, 12 = 2*a + 2*r. Find the second derivative of 22 - 22 + a*g**3 + 4*g wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4466545 + -582?\nAnswer: -4467237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 842996 and 2668.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3288 and 41374.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 1\/7, 2, -4, 27, 0.3, 1\/3 in descending order.\nAnswer: 27, 15, 2, 1\/3, 0.3, 1\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 k when two letters picked without replacement from {k: 5, y: 13}?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 2 - 2. Suppose -2*z = m - 6. Find the second derivative of 3*p - 2*p + p + p**z wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -7. Let q = 1422 - 27021\/19. Sort q, 5, 1\/4, b in descending order.\nAnswer: 5, 1\/4, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -6. Let b = -10 + x. Solve 4*r + 16 + b = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15540 rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1282583 is divided by 641267?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4467963 weeks to milliseconds.\nAnswer: 270222402.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2246\/1245 - -1\/249. Find the common denominator of s and 7\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/3)*q*q**6)**(-27)\/((q\/(q**(-1\/4)\/q))**(-50)\/(q**(-1)*q)**40) assuming q is positive.\nAnswer: q**(-171\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/986 less than -5999?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 8*z**2 + z + 1. Let j(v) = -v**3 + 55*v**2 + 5*v + 933. Let l(d) = -4*f(d) + j(d). Differentiate l(r) with respect to r.\nAnswer: -15*r**2 + 174*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 10:02 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -0.22?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 993 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00078313781 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -120*u + 35. Let s(t) = -7*t + 2. Let g(i) = 2*l(i) - 35*s(i). Let w(m) be the third derivative of -m**5\/60 + 31*m**2. What is w(g(b))?\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.54 minus 19400?\nAnswer: -19400.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 857.8683 rounded to one dp?\nAnswer: 857.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 2*c**2 - 16*c + 3. Let h be l(5). What is the closest to 6 in 4\/3, h, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -402.8749 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58099, 57816, 57349, 56698, 55863?\nAnswer: 54844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/3 + 3928448*z\/3 + 3858175922176\/3.\nAnswer: (z + 1964224)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 246 - 16*i - 256 - 5*i + 15*i + 7*i**2. Suppose -2*p - 10 = -4*p. Let q be k(p). What is the greatest common factor of 27 and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3*sqrt(170) - sqrt(170)))\/(sqrt(160)*-6).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*r - 10, -5*s + 7 = r - 10*s. Let y = 2.1 - 2. Let t = 0.2 - y. Which is the nearest to 2\/5? (a) 4 (b) t (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 11*w**6\/180 - 119*w**3\/3 - 59. Let j(v) be the third derivative of g(v). Let f(u) = 4*u**2. What is j(f(q))?\nAnswer: 352*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 160?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4021.184 - -22.\nAnswer: -3999.184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - 29. Suppose n = -2*f + 8*f - 12. Let s(m) = 9*m + m + m**f - m. Give s(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnnjtpntn. Give prob of sequence jp.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2399 + 2720. What is the remainder when 1934 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16769 + 1977*m**2 + 16769)*(-m**2 + 32*m - 32*m) to the form x*m + n + b*m**2 + j*m**3 + w*m**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence of when two letters picked without replacement from {z: 1, o: 1, f: 3, g: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(20\/3))\/(24\/(-20)). Let w be 109\/(-7) - (-1 + 0). Let y = w + 429\/28. What is the third biggest value in y, b, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 0. Let c be (w\/1)\/((-4)\/16). Suppose -u = -0*u - 2, 4*k - c*u - 116 = 0. Is 18 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 + 3. Let g = 53 - m. List the prime factors of g.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 126 - 25. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -13*q. Let x = -1881 + 1881. Let t(h) be the second derivative of x*h**2 + 0 + 1\/3*h**3 - 10*h. Calculate t(f(n)).\nAnswer: -26*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 8. Suppose 3 = -2*c - 1. Let a = c + k. Which is smaller: a or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 31 = 3*r, -3*r + 7*r - 3*c = 56. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2. Let n(d) = -1069*d**2 - 15*d - 15. Let u(r) = -535*r**2 - 6*r - 6. Let s(c) = -2*n(c) + 5*u(c). Calculate j(s(g)).\nAnswer: 576738*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i - 8. Calculate o(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -3089?\nAnswer: -2\/3089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -893 + 988 - (31 + -2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28741930, -28741918, -28741902, -28741876, -28741834?\nAnswer: -28741770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 4 + 4\/3*l**3 + 4*l - 4*l**2. Factor b(q).\nAnswer: 4*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 9*x**2 - 8*x + 4. Let i be a(-8). Let k(o) = -o**2 - 4*o + 2. Let n be k(-6). What are the prime factors of (n\/4)\/(i\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {o: 3, f: 4, c: 2, e: 8}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 2. Let g be w(-5). Let j = -560057 - -560062. Solve b - 4*a + 12 = -g*b, j*a + 9 = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 566558146 to the nearest integer?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 9:51 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3445725 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/a**(-16))\/a*a)\/a**(8\/3))**36 assuming a is positive.\nAnswer: a**552","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 19221, 19780, 20339?\n\"Answer: 559*a + 18662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f + 5*f**2 - 3*f**2 + 17*f - 3*f**2 - 18*f - 451*f**3 to the form c + v*f**2 + p*f**3 + r*f and give p.\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**7\/p)**(8\/7) assuming p is positive.\nAnswer: p**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 14. Let s(t) = t**2 - 687*t - 2070. Let q be s(-3). Solve q = p, 4*p = -b + 9*p + v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*i = -1357, -5*i = 5*s - 10*i - 2265. Let o = 2711\/6 - s. Which is the third smallest value? (a) -2\/17 (b) -1\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6414909891?\nAnswer: 3, 13, 37, 647, 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3990 = 27*j - 24*j. Suppose 123*u = 88*u + j. List the prime factors of u.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 17 = 5*x, 5*x - 23 = -10*s + 7*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4 = -5*d + 3*r, -d - 3*r - 8 = 0. List the prime factors of 26*(-1)\/d - 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + n**2 - n**2)*(-n**3 + 0*n**3 - 3*n**3) + (-2*n**3 + 0*n**3 + 3*n**3)*(n**2 + 3*n**2 - 5*n**2).\nAnswer: 3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 56636998, 56636997, 56636996?\n\"Answer: -z + 56636999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 22. Let n(b) = -b**3 - b**2. Let d(l) = -7*l**3 - 8*l**2 - 2. Calculate p*d(y) + 6*n(y).\nAnswer: y**3 + 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -3*a + 6. Let c(p) be the second derivative of -1\/3*p**3 + 1\/12*p**4 - p + 0 + p**a. Give c(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71717896?\nAnswer: 2, 8964737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 230829 by 202.\nAnswer: 230829\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 49000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 946337235 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 divided by 71.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302a (base 12) to base 6.\nAnswer: 40054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440 = 4*d - x, -d - x + 54 = -56. What is the least common multiple of 1386 and d?\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2711, -3321, -3931, -4541?\nAnswer: -5151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-15.99.\nAnswer: 15.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.5 (b) 1.4 (c) 255 (d) -68 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4392722336.\nAnswer: 2, 29, 4733537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 8 = -3*i + 1, -4*a = 8 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 19\/(-3)*156\/(-208)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 63 - 56 = -k + 3*i, -14*k + 157 = -5*i for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19084.7 and 3.\nAnswer: 57254.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*h = 14*h + 80. Solve -5*w - 12 = -h*j - 2*w, j + 2*w - 5 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 639418375 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 633*i - 539*i - 10246940. What is i rounded to the nearest one hundred?\nAnswer: 109000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 149925 + -581155\/4. Suppose 0 = -5*y + 6519 + 16536. Let z = o - y. Calculate the common denominator of z and -24\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400 + 21*x**2 + 680 + 1519 - 22*x**2 - 3*x.\nAnswer: -x**2 - 3*x + 1799","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence syl when three letters picked without replacement from ypplslysllsyytspv.\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1*-332\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 5*v + 8 = 5, -13 = -4*r + 3*v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1013 (base 4) to base 14.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 120*d**2 + 0*d**3 + 0*d + 0 + 23\/66*d**4 - 163\/330*d**5 + 7\/660*d**6. Let v(x) = 0. Calculate x.\nAnswer: 0, 2\/7, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -804938000 rounded to the nearest one million?\nAnswer: -805000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(363))*2 + sqrt(363) - sqrt(363))**2 + (sqrt(108) + 0)**2 + sqrt(3) + 0)*3.\nAnswer: -525*sqrt(3) + 4728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4) - (-6)\/(-12). Suppose -3*u + 5*d + 142 = 39, 2*u - d - 57 = v. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**4 - x**4 - 6*x**4 + (-x + 3*x - 3*x)*(x + x**3 - x) + 1 - 2*x**4 - 1.\nAnswer: -6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(77)*-2 + sqrt(77) + sqrt(77)) + sqrt(77) + sqrt(77))*6)\/(sqrt(14)\/sqrt(2)*-4 - (2*sqrt(35) + sqrt(35))\/sqrt(5)).\nAnswer: -12*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -5*u + 123. Let i = u - 13. Sort -2, 4, i in decreasing order.\nAnswer: 4, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -38816207.\nAnswer: 6\/38816207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -2 + 14. Let t be (c - 4)*41\/(-2). Let k(y) = -t*y + 250*y - 126*y. Let b(u) = 4*u**2 - 1. What is b(k(w))?\nAnswer: 4*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s - 61. Give x(-18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23250*i - 23249*i - 23255*i - 23254*i - 2*i**2 + 93008*i.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 570199833 to the nearest integer?\nAnswer: 23879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j - 3*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1.1. Suppose -5 = 2*o + 1. Let f be (o - (-39)\/15)*-5. Which is the smallest value? (a) f (b) -2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141529 is divided by 2564?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7697 and -6?\nAnswer: -46182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -144?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**3))**(5\/2)\/(u*u**(2\/7)*u**7) assuming u is positive.\nAnswer: u**(-11\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 times 0.2?\nAnswer: -11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -1. Suppose 5*f - f + s = -5, v = 4*f + 3*s + 15. Let t(j) = 2*j + j + f*j. Let z(a) = -a. Give z(t(l)).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*g - 1160586 = -346*g. Calculate the highest common factor of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16174 less than 0.7?\nAnswer: -16173.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r - 25. Let h be n(-4). Suppose 57 = -5*f + 3*s, 48 = -f - 3*f + h*s. Let t be (-7 - -1)\/(f\/24). Solve -6*c + 2*c - t = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410751151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 177 + -177. Suppose 5*a = -5*w + 15475, x*a + 2*w = 5*a - 15461. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55.00000029 - 55. Round y to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 295447 divided by -295447.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -641.4 rounded to the nearest ten?\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 777029303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -593151202.\nAnswer: -593151201.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 314, 504, 706, 926, 1170?\n\"Answer: t**3 + 183*t + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 178785 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -4*f - s + 12, 5*f + 2*s - 12 = 0. Suppose 0 = -3*i + i + 2*z - 4, 0 = f*i - 3*z + 6. Solve i = w + 2*w + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14301 is divided by 596.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -i + 4*i - i + (104 - 19 - 20)*(2*i - 1 + 1) as j + q*i and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -10074071\nAnswer: -10074071.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x + 12*x - 9. Suppose 1568 = -x*q - q. List the prime factors of (-1 + 0)*q\/4.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/((((w*w\/((w*w*w*w**(-1\/3)*w)\/w))\/w)\/w)\/w))\/w)**(-3)\/(w**(-4)*w*w**5) assuming w is positive.\nAnswer: w**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 434575 and 434796 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 6*g - 102. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 1:33 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 1 + -3 + -8 + 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = p - 2*p - 5, 5*c + 3*p = -1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 104 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 128 by 7.\nAnswer: 128\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/126 - (6 - (-1164)\/(-224)).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17304.208214 to the nearest ten.\nAnswer: 17300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 2.7. Let t = 2 - j. Let q = -13 - -12. Which is the closest to q? (a) t (b) 0.2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -661*t**4 + 27641*t**3 + 2*t**2 + 297719*t - 1 wrt t?\nAnswer: -15864*t + 165846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 145296639 - 0.4\nAnswer: 145296638.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36 - 31*d**2 + 3 - 11 wrt d?\nAnswer: -62*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111330?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*x**4 - 2 - 3*x**2 + 3*x**2 + 23*x - 22*x in the form g*x**3 + w*x + n*x**2 + t + j*x**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - k + 3. Let b(p) = p - 2. Determine 3*b(o) + 2*l(o).\nAnswer: -2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*t + 0*t - 4*t + (-2 + 2 + 2)*(1 - 2*t - 1) + 0*t - 4*t + 2*t)*(-2 - 2*t + 2).\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 15. Suppose h*o + 6 = 7*o. Calculate the smallest common multiple of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2)*(-1 + 1 + m)*(-12 + 14 - 7)*(1 - 4 + 2) as p*m + k and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d*(d*d**5)\/d*d)))**12*(d\/d**(-1\/4))**32 assuming d is positive.\nAnswer: d**124","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 12*h + 9*h - 19*h + 2 + 321*h**3 + 1. Let o be l(-1). Let z be o\/(-30)*1050\/4. What is z rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*c + 40. Suppose -c = -4*h - 8. Is (h - -2)\/(1\/2) 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 304 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 120 = -5*g, g - 20 = -0*t - 3*t. What are the prime factors of -2*2\/((-8)\/g)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 8*j - 5. Suppose -4*l = 5*k - l + 29, -2*k + l = 16. Let t be v(k). Let d be t\/4 + 6\/4. Solve -2*f = 2*q + 18, 0 = d*q + 4*f - 2 + 30 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 178*x**2 - 34519*x - 1187. Let l be t(-295). Let d be (3\/10)\/(6\/8). Which is the third biggest value? (a) d (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78 - 100. Let s(l) = 10 - 15 + 28 - 23*l**2 - l**3 - 25*l. Is s(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 b when two letters picked without replacement from {y: 2, t: 2, b: 8, d: 5}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*f + 13*f - f**4 + f**2 - 6*f - 25*f**4 + 6*f + (1 + 0 + 0)*(2*f**4 + 0*f**3 + 0*f**3))*(-2 - 1 - 14).\nAnswer: 408*f**4 - 17*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 + 3783*r**2 - 3490616*r - 3494400.\nAnswer: -(r - 2184)*(r - 1600)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1235681319105 + 76.\nAnswer: -1235681319029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/7 - (-3798)\/63. What is the greatest common divisor of x and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 3 = 3*k, 4 = -4*i + k - 5*k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**4 + 2*g**3 - 5*g**2 - 2*g. Suppose 5*p + 2 = -8. Let r(j) = 4*j**4 - j**3 + 6*j**2 + 3*j. Let n(y) = p*r(y) - 3*o(y). Let n(t) = 0. What is t?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -1) + (-18 - -17). Put n, 46, 8 in descending order.\nAnswer: 46, 8, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/195*(-8)\/288*3.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 2*d + 45. Let a = 33 + -19. Suppose -5*m + 11 = -a. What is the remainder when d is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -75647, -302629, -680933, -1210559, -1891507?\n\"Answer: -75661*g**2 + g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.2 - 3.2. Let d = 0.909 + -0.93. Let w = d + -0.079. What is the fourth smallest value in c, w, 4, 1\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45 + 51. Suppose 2*o = -1 + 3. Calculate the lowest common multiple of b and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 7*q = -3*q - 6, 0 = 3*v + q + 21. Let r be (-1)\/(3*(-1)\/v). What is the units digit of (-30)\/(-4) + r\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 23, 40, 59, 80?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1854728?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-18))\/(-3)*(-18)\/(-12)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 44.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7588 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*t + 0)*(4*t**2 + 63 - 18*t**3 - 6*t**2 - 64) as u + i*t**3 + o*t**2 + d*t + b*t**4 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2984*s**2 - 4*s - 4055. Let f(g) = g**2 - g - 1. Let c(k) = -4*f(k) + m(k). Find the first derivative of c(v) wrt v.\nAnswer: 5960*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 117 and 37171 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + -2 - 9) + 2. Let r be (t - 1)\/(4\/(-2)). Let x(v) = -v**3 + 7*v**2 - v + 9. Let c be x(7). Put r, c, 0 in decreasing order.\nAnswer: r, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-57) + 30447\/(-3781). Let l(z) = 8 + 5*z**3 + 2*z**3 + 6*z**2 + 1 - 8*z - z**3. Let r(n) = 4*n**3 + 4*n**2 - 5*n + 6. What is i*r(p) + 5*l(p)?\nAnswer: -2*p**3 - 2*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11187655 * 2.8.\nAnswer: 31325434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**3 - 17*n**2 + 10*n + 15. Give t(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 101.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 148 + -143. Put p, -571, -4 in descending order.\nAnswer: p, -4, -571","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 1 + 1)*((n - 4*n + 0*n)*(0 - 4 + 5) - 2*n - 5*n - 5*n + n + 0*n + n - 5 + 5 + 3*n).\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134 + -2324?\nAnswer: -3013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 12396*t + 17547*t + 16852*t - 7870*t + 1336*t in the form y + n*t and give n.\nAnswer: 40261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a + 46*a + 1534*a**2 + 1449*a**2 - 44*a.\nAnswer: 2983*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from acaaac. Give prob of picking 4 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 4:30 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 255111 divided by -11.\nAnswer: -255111\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9\/10 of a minute?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -31*y - 1080. Let a(h) = 30*h + 960. Let s(k) = -9*a(k) - 8*o(k). Let q(j) = 23*j**2 + j. Give s(q(d)).\nAnswer: -506*d**2 - 22*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.431, 0.03, 47, -0.9.\nAnswer: -0.9, 0.03, 0.1, 0.431, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = -4*c + 4*f, -4*f = 5*c - 610 + 220. Let s = 7 + c. Let d = s - 44. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 418.9 + -417.9. Which is the smallest value? (a) 2\/9 (b) 3 (c) -0.1 (d) 8 (e) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.27 and -0.56872.\nAnswer: -0.1535544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/11 - 7938\/(-891).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/9)\/((u\/u**(-6)*u)\/u))\/((u\/(u\/u**(1\/10)))\/(u**7\/u))*(u\/(u**(2\/7)*u))**14\/(u**(-3\/5))**(1\/4) assuming u is positive.\nAnswer: u**(-931\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 4:46 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 207 - 147. Suppose 3*w - 5*y + 2*y = 162, -w = 5*y - h. Calculate the greatest common factor of 11 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, -4\/147, 1, -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - 7\/((-28)\/16). Suppose 2060 - 578 = 3*j. What is the first derivative of -494*k + 5*k**c + j*k - 3 wrt k?\nAnswer: 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5429 or 81436\/15?\nAnswer: 81436\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-256)\/(-12)*(-822)\/2192.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1601 - 1314. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.003*159\nAnswer: -0.477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmm when three letters picked without replacement from xmmm?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + w + 38, 0 = 4*c + 2*w - w - 82. What is the remainder when c is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - x**2 - 893*x + 4*x**3 - 3*x**3 + 902*x as c*x + s + r*x**2 + b*x**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-5)*a)**(-1\/4)\/(a\/a**(-3\/16)*a*a*a**(-15)*a) assuming a is positive.\nAnswer: a**(181\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80052 and 3182067.\nAnswer: 12728268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 29 in decreasing order.\nAnswer: 29, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c + 2. Let p be g(-2). Suppose 0*j = -5*s - j + p, 2*s + j - 4 = 0. Suppose -2 = -2*t - 4*b, 5*b + s = 4*t - 15. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3426857, 3426856, 3426855, 3426854, 3426853, 3426852?\nAnswer: 3426851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9044556?\nAnswer: 2, 3, 53, 14221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/9, -1\/14, 16\/37, -0.2 in decreasing order.\nAnswer: 0.5, 16\/37, 2\/9, -1\/14, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*f**2 - 26*f**3 + 3 - 36*f**2 - 58*f**2 as u*f**3 + t*f + b*f**2 + g and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 577 minutes before 10:40 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 9*m + 13. Let j be d(-1). Suppose 0 = -4*w - g + 23878, -j*w - 24*g + 23866 = -29*g. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27.6 + -22.6. Let c be 32\/5 + (-2)\/5. Sort j, c, 1 in ascending order.\nAnswer: 1, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*y + 35119, 230*y - 227*y = -15. What is the ten thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2651565 is divided by 444?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/274948 and -17\/14.\nAnswer: 1924636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -1\/2, 1\/7, -290?\nAnswer: -290","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)*-3 + sqrt(162) + sqrt(162) - sqrt(162))\/sqrt(9))\/sqrt(9).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1548, -8791, -27448, -63225, -121828, -208963, -330336, -491653?\nAnswer: -698620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15108 + 23404. Suppose -13*d + 5*d + x = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 65 = -4*n, -3*w + 5*n + 7 = -13. Solve 3*p + 2*p = w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -167 - -184. Let i(h) = 13*h - 5 + 11*h + b*h - 38*h. Let n(o) = 1. Calculate i(u) + 5*n(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -1. Let s(z) = 10*z + 40. Give 40*o(p) + s(p).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 220 - 220.2. What is the nearest to b in 4, 1\/3, 3\/8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.56 + -0.06. Let k = a - 0.8. Let f = 5.01 + -0.01. Put k, f, 1 in descending order.\nAnswer: f, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, n: 3, r: 3, k: 2, c: 1, p: 2}. What is prob of picking 1 p, 2 k, and 1 n?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 7230 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (68\/(63104\/348))\/(7*1\/(-4))\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (649\/354)\/(44\/8).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15915169.8 rounded to the nearest 10000?\nAnswer: 15920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 5:52 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 38 and -332770.\nAnswer: -12645260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**4 + 261972*q**3 - 1571880*q**2 + 3143792*q - 2095872 = 0. Calculate q.\nAnswer: -130992, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 7 + 2 - 10*o + 1 - 7. Let p be g(-8). Suppose 0 = -p*w + 5*v + 5, 3 - 6 = -3*w - 2*v. Are 1 and w nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7\/2 (b) -186\/65 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-3)\/(-3)*1\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42880150 rounded to the nearest one hundred thousand?\nAnswer: 42900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 281 + -283. Let w = -11 - -8. Which is the nearest to 1? (a) i (b) w (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40119953?\nAnswer: 40119953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -183 divided by 2047\nAnswer: -183\/2047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 293 = -268 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i**1\/i)*i)\/i)\/i**(2\/21)*i**(-3)*i**(2\/13))\/(i**(-7)\/(i*(i**(-11)\/i)\/i))**(18\/13) assuming i is positive.\nAnswer: i**(-2420\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*g - 45 + 21 + 24.\nAnswer: 19*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-19 + 20 - (0 - 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.01 + -0.01. Let x = w - 2.1. Let y be ((-13)\/(-13))\/(-30 + 23). Sort -1, 0, x, y in decreasing order.\nAnswer: 0, x, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93857 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-12))\/((-10)\/870) - 51\/17?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/3)*n*n**(10\/7) assuming n is positive.\nAnswer: n**(58\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7 + 8 - (0 - (3157 - -2)). Suppose 182*u - 184*u + c = 0. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 19 - 1 = 0. Suppose -3 = -r - 2. Solve m*s + 11 + r = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001747 rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p. Suppose 2 = -2*d - 18. Let z = -6 - d. Let n(g) = -2*g - 2*g + 0*g - z*g. Calculate o(n(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or -438\/13?\nAnswer: -438\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -499 - -686. Calculate the common denominator of -5 + 1 + i\/12 and 101\/54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1349\/3 - -465. Let x(f) = 1014*f**3 - 3*f + 2. Let k be x(1). Let g = k - 7129\/7. What is the common denominator of g and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 6) + (-3 - -21 - 16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbbbbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * -0.1\nAnswer: -0.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c - 4*y + 14 = 0, 5*c - 14 = -2*y. Let r be 0 + c*(-100)\/(-8). Solve r = -j + 6*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axqx when four letters picked without replacement from {o: 5, x: 5, c: 4, q: 1, a: 1}?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2610*i**2 - 7*i + 10156 - 10130 - 2611*i**2. Suppose 28 = -2*p + 6. Calculate r(p).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 876449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -455, -879, -1305, -1733, -2163?\n\"Answer: -f**2 - 421*f - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 - i**2 - 6*i + 4 + 2*i + 2*i**2. Is a(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 626156712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2256 and 522734.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - m - 4*m**2 - 128629*m**3 + 4*m**2 + 7 + 128627*m**3.\nAnswer: -2*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 55380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + k + 2, 4*k = -3*c + 28 - 13. Calculate the greatest common divisor of c and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 932879573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1915 - 0.0085. What is the nearest to -0.1 in 2, j, 3, -1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wddyqydwdydddbdwy. Give prob of picking 1 w and 1 d.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -525.\nAnswer: -2100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 375?\nAnswer: 2625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 641045?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, c: 16}. What is prob of sequence ccc?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -12 + 8 - (0 - ((5 - 5) + -2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, f: 3}. Give prob of picking 1 g and 2 f.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001381 to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p - p**2 + 13 - 4*p - 2*p. Let x be o(-9). Put 5, x, 4 in decreasing order.\nAnswer: 5, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/14)\/(2 - 135\/66). Let h(j) = 152 + t*j + 153 - 306 - 5*j. What is the remainder when 201 is divided by h(5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u - 14. What is c(-7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25278 = 5185*f - 4419*f for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by 2\/(-1 + 10\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hyhv. What is prob of sequence vyh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2220 (b) -1\/296 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u = -274 + 170. Solve 5*o + 13 = u*o - 2*d, 5*o + 4*d = -41 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -6*u**3 + 5*u**2 - 27*u + 5. Let i(w) = -3*w**3 + 3*w**2 - 13*w + 3. Let o(g) = 5*i(g) - 3*r(g). What is the second derivative of o(l) wrt l?\nAnswer: 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -5*v + 330, 5*x - 14*v + 2574 = 2*x + 25*v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 4049264.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 26*w + 655. Determine p(-34).\nAnswer: 927","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1487, 2941, 4395, 5849, 7303?\n\"Answer: 1454*s + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from amoomxgbmgbmm. Give prob of sequence omb.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -171*c + 595. Is s(-30) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 6\/(-77)*1050\/(-10).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*728.\nAnswer: 1456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 y when two letters picked without replacement from hyygi.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 8:42 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 97014622 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 + -42. Suppose 2*o - m = -4*i, 2*o + 5*i - 12 = 5. Suppose 3*l - o = 12. What is the smallest common multiple of l and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 k when four letters picked without replacement from fffkkfkkfkkf.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 14*y**2 - 9)*(-14*y**2 - 20*y**2 - 35*y**2) + 2*y**4 + 3*y**4 - 3*y**4.\nAnswer: 968*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/12)\/((-534)\/3560).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -3, -448, 22, 0 in increasing order.\nAnswer: -448, -3, 0, 1, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 1 - 1)*(-14*v - 547 + 1097 - 561 - 10*v**4).\nAnswer: 20*v**5 + 28*v**2 + 22*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 54737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**3*w))\/w*w*w**(-3)\/w*((w\/w**(1\/4)*w)\/w)\/w**(3\/7) assuming w is positive.\nAnswer: w**(-187\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 5*t - 7, 46*k = -5*t + 47*k + 9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/(-40))\/(-12)*10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 35*m + 224. Let b be j(-6). Let q(o) be the third derivative of 0 + b*o**2 - 25\/48*o**4 - 125\/24*o**3 + 0*o - 1\/48*o**5. Factor q(c).\nAnswer: -5*(c + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*sqrt(468) + -2 + 5))**2 - (4 + (2*sqrt(26)*-3)\/(-1*sqrt(2)*6 - sqrt(2))).\nAnswer: 246*sqrt(13)\/7 + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 441, 611, 659, 525, 149, -529?\nAnswer: -1569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -26413*o - 304*o**2 + 26413*o as t + f*o**2 + w*o and give f.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30480 + -2?\nAnswer: 30478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-99))\/(8\/(-24)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 0 (c) -1\/2 (d) -1 (e) 2.1295\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1262.\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 15657 (base 11) to base 14\nAnswer: 8096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29958.\nAnswer: 2, 3, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.02651 * 1340\nAnswer: 35.5234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*p + 69*p + 2097 - 739 = 0 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 1841\nAnswer: -1\/1841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 5:44 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 11*q - 15. Let v be t(-10). Let i be 6 + v - (-2 - 0). Suppose 6*w - 2*r = 3*w + 242, -i*r = 12. List the prime factors of w.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4 - 4)*(0*p - 2*p + p)*(-10*p**2 - 5 + p**3 + 9*p**2 + 0*p**3 + 3*p) as u + n*p**3 + k*p**2 + z*p**4 + f*p and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 142, 5, -29\/44, -1, 1 in ascending order.\nAnswer: -1, -29\/44, 1, 5, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zf when two letters picked without replacement from ccfcpcpcz?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -13, -6, 1, 0.4 in descending order.\nAnswer: 1, 0.4, -0.1, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -139.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(26\/(-8))\/((-10)\/((-320)\/24))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4096 and 2735840?\nAnswer: 350187520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -17. Let y = a - -1. Let j be (2\/(-3))\/(6\/y). Is 1 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - ((3 + sqrt(76) + sqrt(76))*-5 + sqrt(76) - sqrt(76))) + -1 + sqrt(76) + -5)**2 - (3 + -1*(3 + sqrt(76) + sqrt(76)) + 3)**2.\nAnswer: 456*sqrt(19) + 10712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-7))\/(6\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -162*i**4 - 13*i**3 - 160*i + 65*i**3 + 140 - 30 - 6 + 6*i**2 + 160*i**4.\nAnswer: -2*(i - 26)*(i - 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9153927 to 3 dps.\nAnswer: 0.915","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.393253666 + 5.\nAnswer: 5.393253666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 557 - 539. Suppose 2244 = c*h - h. Calculate the greatest common factor of 297 and h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*u = -8*k + 29, u + 19 = 3*k. Find the first derivative of 3*m**2 - k - 1 - 11 wrt m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1747 - 1744. Let s = 19.605 - -0.625. Let i = 0.23 - s. What is the fourth biggest value in 2, i, k, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19230, 36963, 54696, 72429, 90162, 107895?\nAnswer: 125628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67916802 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -414 + -6783?\nAnswer: -7097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**10*l))\/l**12)\/(l**4\/(l**(1\/24)*l)) assuming l is positive.\nAnswer: l**(-599\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -23) + (0 - (-9 + 11 + 2))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1038136423.\nAnswer: 47, 22088009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-27)\/(-15) - 1)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101001 (base 2) to base 4.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3428289893 to the power of 1\/2, to the nearest integer?\nAnswer: 58552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -62, -130, -212, -314, -442, -602, -800?\n\"Answer: -r**3 - r**2 - 58*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*l - 2*l. Let c(x) = -3 + 3 + 2*x - x + l. Let f be c(0). Solve -3*m + 0*b = -f*b + 4, m - b = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2.3500251us?\nAnswer: 0.00000000065278475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a - 16*a**3 + 9*a.\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 2:52 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8411 (b) 191 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**3 - q**2 + 20*q + 19. Let f be u(-7). Let a = 1279 - f. What are the prime factors of a?\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2. Let p(c) be the second derivative of 23*c**4\/3 + 55*c. Determine p(h(a)).\nAnswer: 368*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 3, x: 1, s: 1, g: 4, v: 6, f: 4}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (0 + 3)) + (7 - -1 - 13)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -33\/2*s**4 + 117\/2*s**3 + 30*s + 3\/2*s**5 + 0 - 147\/2*s**2 = 0. What is s?\nAnswer: 0, 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(2\/(-10) + (-35 - -36))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*v - 25. Let x be 111\/6 + 2\/v. What is the highest common factor of 27 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1762*(-15*4\/(-24) - 3). Let t = 1612 + n. What are the prime factors of t?\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 10 = -j, 5*g - 25 = -50*j + 46*j. Let n = -4 + 7. Solve -30 = 4*o + n*q - j*q, -25 = -5*q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**4\/12 + n**2 + n. Let p be u(0). Solve 5*r + p + 3 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-4))\/(4\/48). Let o(d) = -3*d + 18. Let k be (-8)\/(-36) - (-52)\/9. Let r be o(k). Solve r = 2*w - p*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 312 + -132. Suppose -17*m + 2 = -j - 20*m, 2*m = 5*j - 58. Calculate the smallest common multiple of j and r.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.9 and -486?\nAnswer: 3839.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwgggwwgfggwwggggw. What is prob of picking 2 g, 1 w, and 1 f?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-96)\/(-21) - 4 - 15\/(-35). Which is the nearest to t? (a) 5 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22.4 - -22.5. What is the closest to j in 0.02, 0.2, 5, -1\/5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n + n**2 - n - 5*n**2 + n**2 - 3. Let j be c(1). Put j, -4, 6 in decreasing order.\nAnswer: 6, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14d0 (base 16) to base 6\nAnswer: -40400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x + 4. Suppose 0 = -2*m + 4*q + 8 - 2, 4*m = -5*q - 40. What is the smallest common multiple of c(m) and (200\/(-16) + 5)\/(6\/(-16))?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -29 (b) -0.7 (c) 0.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**4\/8 - 5*q**3\/6 + 2*q**2. Suppose 62 = 3*u + 5*o, -6*u - 5*o + 4 = -5*u. Suppose -44 = -u*y + 40*y. What is v(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99055?\nAnswer: 5, 11, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -12.876.\nAnswer: 10.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5887966 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 f when two letters picked without replacement from wowowofwwwfocwcw?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(49) - (sqrt(49) - -3*-5*sqrt(49)))\/sqrt(7).\nAnswer: 4 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, d: 3, g: 1, a: 2, t: 3, u: 7}. Give prob of sequence uuag.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k + 6. Let o be n(0). Suppose 3*s - 15 = -b - 2*s, -3*s = 4*b - 26. Suppose 4*y + o*m - 643 = m, -m + 788 = b*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1946.035 and 0.5.\nAnswer: 973.0175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**3 + 0*h**3 - 1 + h + 0*h**3 + 3*h**3 in the form k + f*h**2 + l*h**3 + o*h and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 4*y + 4. Let h be f(-4). Differentiate -2*v - 16 + 4*v + h - 4*v wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**4\/5 - 5798363*c**3\/5 + 2801738560156*c**2\/5 + 2428193648688*c + 3735684915264\/5 = 0.\nAnswer: -4, -1\/3, 966396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-308)\/(-165)*((-440)\/(-16))\/11?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1433, 1407, 1357, 1271, 1137, 943, 677, 327?\n\"Answer: -2*o**3 - 12*o + 1447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24975880 divided by -5?\nAnswer: -4995176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + 0*t + 3*t + (11 + 14 - 8)*(35*t - t + 23*t).\nAnswer: 971*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m**2 - 7*m**2 - 9*m**2 + 17*m**2 + 3*m**3 - 14*m**2.\nAnswer: 3*m**3 - 29*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**3\/3 + 5*f**2\/2 - 7*f. Let h be k(-5). Let i be 10*(-3 + (-19)\/h). What is the highest common factor of i and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 3*b**5\/4 - 85*b**4\/12 - 155*b**3\/3 + 120*b**2 + 3254*b. Factor u(m).\nAnswer: 5*(m - 8)*(m + 3)*(3*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73063 = 3*r - 5*u, -2*r - 15*u = -14*u - 48726. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/5 + 165198*l\/5 + 2274198267\/5.\nAnswer: 3*(l + 27533)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2. Let y(a) = 184*a + 1177*a - 184*a. What is m(y(h))?\nAnswer: -1385329*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = g - l, 12*g - 3*l + 11 = 8*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51\/110 - -2\/55. Factor -1\/2 - 1\/2*h + s*h**3 + 1\/2*h**2.\nAnswer: (h - 1)*(h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -333 + 335. Factor 2\/15*i**3 + 0*i**a - 2\/15*i + 0.\nAnswer: 2*i*(i - 1)*(i + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/22)*u**(-5\/4) assuming u is positive.\nAnswer: u**(-57\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -146 + 142 - (-14 + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by (-4300)\/(-116) + 12\/(-174)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 541 (base 8) in base 9?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 7*r**2 + 3*r + 3. Calculate the remainder when b(-6) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 i when two letters picked without replacement from tiggjobot?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 + 121?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(6) + sqrt(96)))\/(sqrt(108)*2).\nAnswer: sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-2)\/((-16)\/(-1))*-4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1314035203?\nAnswer: 13, 79, 181, 7069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 40908122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14008 = -13*n - 1242. What is the lowest common multiple of n and 6?\nAnswer: 2946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -u + 57, -u + 169 = -4*a + 7*a. What is the highest common factor of 182 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 28*k + 25 = 5*q + 85*k + 30*k, q - 2*k - 5 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 854197*m*s**3 + 2474*m*s + 6*s**3 - 917*s wrt s.\nAnswer: 5125182*m*s + 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 84*b + 45 + 37 - 296 in the form h + d*b and give d.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c + 0 + 1 - 4*c)*(-766*c**2 + 1528*c**2 - 73664*c - 761*c**2 - 41339*c) to o + i*c**2 + n*c + q*c**3 and give i.\nAnswer: 115004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 1. Let w be o(-3). What is the third biggest value in 0, 2\/11, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*u - 71*u + 27469 = -31391. What is the remainder when u is divided by 86?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33618\/8 - (-32)\/(-128)?\nAnswer: 2, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (21\/(-28))\/((-1)\/12) and 97.\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = s - 32. Let c be (-5)\/15*18\/s. Sort c, 0.5, 1 in descending order.\nAnswer: 1, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1640913223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -384492*l**5 - l**4 - 44*l**2 - 1442*l wrt l.\nAnswer: -23069520*l**2 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - 2.9. Let k = -3 + 3.4. Let q = -3 + 1. Which is the closest to y? (a) -1 (b) k (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5)**33 assuming i is positive.\nAnswer: i**165","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118422, 236851, 355284, 473721?\nAnswer: 592162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (112\/(-12))\/(-4)*3. Suppose -r = -43 + 31. Let o = r - x. Solve -3*q + 2*q - s = 5, -7 = -o*q + 3*s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 939 a factor of 3752244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33? (a) 2 (b) 2\/15 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 987 divide 9687405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -135551043 (base 6) to base 12.\nAnswer: -b2b483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4547441.06 rounded to the nearest ten thousand?\nAnswer: -4550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*a**5 + 1119*a**4 - 660*a**3 - 444*a**2 = 0. Calculate a.\nAnswer: -2\/5, 0, 1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**4 - 2*n**4 + n**4 + 2*n + (4*n**3 + 4*n**3 - 3*n**3)*(-393 - 20*n + 393).\nAnswer: -102*n**4 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 19, -0.018, -27, 4?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -1 + 0 + 4*l**2 + l**2. Let g be y(-1). Let m be g\/(-18) - (-48)\/(-27). Sort 2\/13, -0.2, m in descending order.\nAnswer: 2\/13, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3222 = 2*g + 8700. Is (g\/6 - 3)*(-1 - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19330217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 66 - 3*b**2 + 3*b + 4*b**2 - 5*b. Let y be (-35)\/(-21) + 30\/(-18). Calculate the lowest common multiple of 4 and h(y).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 3*d + 8. Let o = -22519366\/43959839 - -5878\/8521. Let m = o + 2\/469. What is the third biggest value in d, m, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 9*m**2 + 9*m - 4. Let y(i) = -57*i + 505. Let b be y(9). Calculate p(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((1000\/(-16))\/(-25))\/(-15))\/(4\/6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -3*q - c, 4*c + 63 = -q + 51. Let i(w) = w**3 - w**2 - 1. Let h be i(1). Let x be h*1\/2*-224. Calculate the highest common factor of x and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3105*j + 6207*j + 5 - 3105*j - j**2 - j**3 in the form f*j**2 + v*j**3 + t*j + q and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1.1. Let q = -35.3 + 35. Which is the nearest to p? (a) q (b) -5 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 443647012?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 186, -1, -3, 2, 455\/6?\nAnswer: 186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 - 68*l**2 - 64*l.\nAnswer: -4*l*(l + 1)*(l + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10899867439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 195545 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1842 + -1830. What is the remainder when 550 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7949410?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 26*q + 17. Let a be y(-25). Let x be (a\/270)\/(4\/10)*2. Which is greater: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 5)*(3 - 3 - 1)*(2*s + 3*s - 6*s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + 2 + (7 - 190). Let q = 172 + h. Let d(g) = 6*g**2 - 7*g - 22. Let z(l) = 4*l**2 - 5*l - 15. Calculate q*d(x) + 7*z(x).\nAnswer: -2*x**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53*t + 155*t + 298*t + 6800 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2002*v + 2005*v - 1255*v**6 - 4007*v + 4*v**2 + 262 wrt v.\nAnswer: -150600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 418 divide 440572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 - 5*o - 285 + 369 + 3*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 48?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 5*z. Let l be j(-4). Let k(p) = p**2 + 3*p - 126. Let d be k(-13). Sort d, 5, l, -1 in descending order.\nAnswer: 5, d, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*m**3)*(-14*m - 48 + 7*m + 8*m).\nAnswer: -2*m**4 + 96*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -1.424, -3, 2.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72355 by -2.\nAnswer: -72355\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**4 - 3*x**4 + 0*x**4 + (0*x**2 - 3*x**2 + 4*x**2)*(x**2 + x**2 + 0*x**2) - 8*x**4 + 10*x**4 - 40*x**4.\nAnswer: -35*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 57*v + 126. Let k(p) = -16*p - 35. Let w(b) = -5*g(b) - 18*k(b). Let r(m) = 15*m**2 + 23*m. Give w(r(n)).\nAnswer: 45*n**2 + 69*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -18*v + 35. Solve 0 = -4*f + 5*f + 1, -v*f = -y + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9a5a8 (base 12) in base 3?\nAnswer: 101101212102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 470 and 188?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 52*i*n**2 - 624*i + 9249*n**2 - 183 with respect to n.\nAnswer: 104*i*n + 18498*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5074.\nAnswer: 2, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 0.03 (c) 2\/3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 341.9999267 - 342. Round c to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 896 + -572. Suppose 0 = -m + 10*m - d. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 9357 = 3*k, 20*k - 5*l = 25*k - 15635. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3162\/3689)\/(1\/(-7))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 110 + 3. Find the common denominator of (-8)\/1*(-16)\/18 and m\/(-2)*(-1)\/9*3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 - 75. Let y be (103 - -3) + -1 + m. Suppose -9*r + y = -136. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/2*5\/50.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47682 + -11850. List the prime factors of z.\nAnswer: 2, 3, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246429 is divided by 364.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.6 - 3.4. Let z = -62 + x. Let l = z + 73. Put -5\/4, 5, l, -5 in increasing order.\nAnswer: -5, -5\/4, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (15 - 14) - -12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 877 is divided by 60?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -431253?\nAnswer: -431255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 7:10 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -39981390 to the nearest one hundred thousand.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**2\/3 + 11074*l\/3 - 30658369\/3 = 0. Calculate l.\nAnswer: 5537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -2. Suppose 8 = m*s - 12. Suppose -s*u + 2 = -13. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*o)*(-38*o + 104 - 104).\nAnswer: -76*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 79 + 81 = 0. Suppose k = 3*g - 8*g. Find the common denominator of 81\/16 and 0\/2 + 37\/g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48177402359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = n. Suppose -j + 4*j = n. Suppose j = g - 6 + 3. Solve 24 = g*l - 3*p, -4*l + 36 = -2*p - 3*p for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and 1.5?\nAnswer: 0.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -5, -252?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bsb when three letters picked without replacement from {b: 10, s: 2, m: 4}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 14*r**2 - 2*r - 3. Let k be c(3). Let f(t) = 871*t + 117. Let p = -192485 - -192487. Let z(d) = -15*d - 2. Calculate k*z(b) + p*f(b).\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 33255?\nAnswer: 232785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7ba + -5?\nAnswer: 7b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 - 4*k - 12. Let b(u) = -u**2 + u + 3. Let p(f) = 4*b(f) + d(f). Let w(m) = -23*m. Calculate p(w(x)).\nAnswer: -1058*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 45\/8 of a gram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1165 - -942. What are the prime factors of r?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000013311806 to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16329536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10*1*((-116)\/(-8) - 5). Suppose -u - 5*a + 69 = -3*u, 3*a = -5*u - x. Suppose -3*z = -i - 14, -2*z + 6*z - 11 = i. Which is smaller: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111020 + 1110030230?\nAnswer: 1103313210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*(-3*sqrt(684) - sqrt(684))*-4)**2.\nAnswer: 2801664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 0 (b) -5 (c) 0.3 (d) -51 (e) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (-1)\/((-2)\/(-6)). Let p = -21 + 14. What is the units digit of (-4)\/(-14) + r\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11943594.\nAnswer: 2, 3, 13, 43, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 13\/((-754)\/(-60)). Let i be (-10)\/(-4)*12\/30 - 0. Is h less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -17. Let o = c + -13. Calculate the remainder when 11 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*x**(-5\/4))))\/(x\/(x*x**(2\/25)))*(x\/x**(6\/13))\/(x*x*x**(-20)) assuming x is positive.\nAnswer: x**(23879\/1300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*t = -9616 - 98960. Calculate the highest common factor of 104 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-12))\/((-840)\/120960).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 11*d**2 + 8*d - 9. Let v be q(1). Solve -v*z + 11 = -9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -13 + 3. Let z = 1 + y. Calculate the remainder when 2\/(-4) - 162\/z is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16390550 divided by -50\nAnswer: 327811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14*-6*1\/((-12)\/1). What is the derivative of -44*c - 36*c + 156 - 9*c - n + 49*c wrt c?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -5 + (25 - 17) + -14.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2594586679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -613*c - 1152 = -649*c for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95 - 14. Suppose 11*c - 17*c = -990. Suppose 3*t - c - w = 0. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (117\/(-6))\/(12\/(-128)). Suppose 3*p + 2*j - 46 = z, -2*p - 4*j = -172. Suppose -21*s + p = -17*s. Calculate the remainder when s is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -512*q**2 + 7*q + 23 wrt q.\nAnswer: -1024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -304\/5 - -5746\/95. Let k = a - -103\/266. Which is smaller: k or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6607*a + 6577*a + 660 = 0. Let w(h) = -7*h + 8. What is the smallest common multiple of a and w(-6)?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5 = -5*h - 2, -2*h + 3 = -u. Solve -u*t + 53 = 41 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617077 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -210 - -209. Let q = -2 - -4\/3. What is the smallest value in -5, q, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.8*-0.11.\nAnswer: -0.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/3125 and 39\/4.\nAnswer: 12500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 1 + 0 + 5. Differentiate -h**b + h - 3 - h wrt h.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2\/7 + 80*k\/7 + 48.\nAnswer: 4*(k + 6)*(k + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -463, -911, -1351, -1783, -2207, -2623?\n\"Answer: 4*b**2 - 460*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/60)\/(6\/(-8)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9 + (-9)\/((-90)\/110). Solve 7*b = -3*b - y for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -2 - 1 - (1 + 22 - (-673 + 628))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4509 and 216?\nAnswer: 36072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*g + 27 = 54, -4*g - 13 = 3*f. Which is the closest to 0.4? (a) -9 (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111256111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, 6\/193, 50 in descending order.\nAnswer: 54, 50, 6\/193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30990869 less than or equal to 30990869?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 36, 37, 38?\n\"Answer: w + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 99?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1300231?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 479\/6*f + 0 - 1\/6*f**3 - 239\/3*f**2 = 0?\nAnswer: -479, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1 + -1 - (-13 + -3)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 161746 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 less than 504?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/15))**40)**(3\/2) assuming l is positive.\nAnswer: l**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*t - 35*t + 4*q + 37 = 0, 31 = -5*t - 2*q for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**4 + 1554*f**2 - 4 - 1554*f**2 - 10*f**3 in the form a*f**2 + k*f**3 + g*f**4 + q*f + j and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -26 - (46 + -10 + -1) - 44\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 5*g - 16 + 40 - 30. Give v(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -36390, 0.5 in ascending order.\nAnswer: -36390, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -16. Let y(l) = 2*l - 8. Let h(z) = 4*z - 17. Let r(q) = -2*h(q) + 5*y(q). List the prime factors of r(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**3\/3 + 30053. Suppose 0 - 3 = -3*z. Let a(b) = -15*b + z + 3 - 2. What is p(a(o))?\nAnswer: -225*o**2 + 60*o - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -3 - -13) + -7 + -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 - 46.06. Let i be 27\/46 - (3\/92)\/(21\/56). Which is the smallest value? (a) i (b) 2\/13 (c) h (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, c: 7, k: 2}. Give prob of picking 4 c.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 + h**4 + 2*h**3 + 2*h**4 + 3*h**4 - 3*h**4 + (2*h**3 - 2 + 2)*(h - 1 + 1) - 10*h**4 + 17*h**2 - 17*h**2.\nAnswer: -5*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*u + u - u)*(-6 + 1 - 13) in the form p + m*u and give m.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 - 29434551*a + 29434776*a in the form t*a + v and give t.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22972*u**2 + 7654*u**2 - 12 + 7658*u**2 + 7674*u**2.\nAnswer: 14*u**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*h + 17. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8905 - -13047. What is the thousands digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214191?\nAnswer: 3, 7933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 990092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*b = -701*b + 33223 + 23218 for b.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130120 divided by -14870?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 - 210*s + 3135. What is j(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 713227?\nAnswer: 713227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/12 and 93\/178888.\nAnswer: 536664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 1\/(4 + (-158)\/40).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**4 + 0*g**4 + g**4)*(2*g + g - 2*g) + (1 - 1 - 1)*(2*g + 5*g**2 - 2*g)*(2*g**3 + 0*g**3 + g**3).\nAnswer: -14*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-2)\/(12\/(-3))*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(sqrt(32)\/(-2*sqrt(8))) - sqrt(171)\/(sqrt(9) + sqrt(18)\/(sqrt(4)\/sqrt(2)) - sqrt(9))) + ((2*sqrt(152))\/(-2*sqrt(288)))**2.\nAnswer: -3*sqrt(19) + 19\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 114877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 361*b**3 + 2*b**2 - 14*b + 2. Let u(a) = -181*a**3 - a**2 + 8*a - 1. Let z(l) = 4*g(l) + 7*u(l). Find the third derivative of z(v) wrt v.\nAnswer: 1062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 475 and 19095?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 229, 2748, -5 in ascending order.\nAnswer: -5, 4, 229, 2748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 + -4455)\/((-46)\/23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r + 15*r + 3*l + 6 = 0, -2*r - 5*l + 21 = 0. Solve -r*a = -4*q + 19, -3*a - 11 = 32*q - 28*q for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272351.\nAnswer: 272351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2402*r - 2397*r - 208439, 3*r = -2*n + 125071. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -16*h**3 + 7*h**2 + 160*h + 28. Let x(d) = 5*d**3 - 2*d**2 - 53*d - 8. What is -2*p(s) - 7*x(s)?\nAnswer: -3*s**3 + 51*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**5\/30 - g**4\/6 - g**3\/2 - 23*g**2 + 2*g. Let k = 3 + -7. Let x(w) = 3*w**2 - 5*w - 4. What is k*t(j) + 3*x(j)?\nAnswer: j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17425.\nAnswer: 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 16*g**2 - 29*g - 479. Determine b(-16).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6050) + 1 + sqrt(6050) + sqrt(6050) + sqrt(6050) - sqrt(6050) - sqrt(6050))**2 + 2.\nAnswer: 220*sqrt(2) + 24203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13941035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, q: 3, h: 3, a: 3}. Give prob of picking 1 a, 1 q, and 2 e.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -178, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 10:52 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 497, 49, -0.02, 1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -417 + 1747?\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000832198792 to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -186207, -185405, -184603, -183801?\n\"Answer: 802*j - 187009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -f + 20 - 3, 43 = 3*f + 5*a. Let n = f - -10. Suppose 3*l - n - 17 = 0. Calculate the smallest common multiple of l and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 760 + -640. Suppose 128 = 4*l - 4*z, 5*z - m = 31*l - 34*l. What is the least common multiple of l and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 4:02 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 32*d**4 + 11*d**2 + 11*d + 44. Let q(o) = 16*o**4 + 6*o**2 + 6*o + 22. Let y(z) = -6*c(z) + 11*q(z). Differentiate y(s) wrt s.\nAnswer: -64*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 207912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 52\/(-44) + 1 + 18\/(-22). Sort 2, 3, 0, u in ascending order.\nAnswer: u, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 0*f**5 + 5\/28*f**8 + 0*f**3 + 0*f**7 + 2\/3*f**4 + 0 + 0*f**2 + 11*f + 0*f**6. What is the third derivative of i(z) wrt z?\nAnswer: 1200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 11*j - 9. Let z be y(-12). Suppose -2*x = 2*p - z*p + 9, -4*p + 16 = -3*x. Which is the nearest to -2? (a) -3 (b) -2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 4 = -2*t, -t + 492*c - 497*c = 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4 = -b + 2*a, -5*a = -b - 13. Let p(r) = 9*r**2 + 492*r + 327. Let y be p(-54). Factor -1\/2*w**b + w - 1\/4*w**y + 2.\nAnswer: -(w - 2)*(w + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221339?\nAnswer: 211, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e2 + 2?\nAnswer: e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 9*o = -138. Let q be o\/5 + 38\/95. Suppose -2*g - q*y = 2*g - 889, -3*g - 5*y = -668. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17073333 divided by 11.\nAnswer: 17073333\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(252) + -4 + (sqrt(252) + 1 - sqrt(252) - sqrt(252)) - (sqrt(252) + 0)*-3) + 3)**2 + 3.\nAnswer: 2273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19 + -8a?\nAnswer: -a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -67, -74?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) 1\/5 (c) 764\/59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11526309 a multiple of 1361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24983?\nAnswer: 7, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 5 (b) 1\/9 (c) 13 (d) 0.008 (e) 2.42 (f) 0.3 (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + (sqrt(448) - (sqrt(448) + 2 + sqrt(448)))*3 + -4*(sqrt(448) + sqrt(448) + 1)**2).\nAnswer: 456*sqrt(7) + 21528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzzmmzz. What is prob of picking 2 z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9 times -115.6\nAnswer: -1040.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (233 + 460 - 1148)*(-i**4 - i**4 - 4*i**4) to w*i + o*i**3 + m + y*i**2 + h*i**4 and give h.\nAnswer: 2730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of b**5\/15 - b**4\/3 + 2*b**3\/3 - 16*b**2. Factor a(c).\nAnswer: 4*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 5:35 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -128 + 131. Let p(z) = -3 - 7*z + 0 + 8 - n. What is p(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 11699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6512 (base 7) in base 4?\nAnswer: 210020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2360, -2392, -2422, -2450, -2476?\n\"Answer: n**2 - 35*n - 2326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((0 - 5) + -3 + -4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**4\/13 - 232*j**3\/13 - 684*j**2\/13 - 680*j\/13 - 226\/13 = 0.\nAnswer: -113, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77043.\nAnswer: 3, 61, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b - 19. Let w be (-16)\/20 - 63\/15. Let z be o(w). Let s(x) = -6*x**3 - x**2. Let j be s(-1). Sort z, 0, j in decreasing order.\nAnswer: j, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + -3 + (sqrt(2299)*1 - sqrt(2299))))**2 + -3 + 1*((1 + sqrt(684))*-3)**2.\nAnswer: 108*sqrt(19) + 6178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**5 + 2604*z**4 - 846720*z**3 = 0. What is z?\nAnswer: -1120, 0, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 23 * -0.1480918\nAnswer: -3.4061114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 8) + (0 + -9 - -10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0573 times 263?\nAnswer: -15.0699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 29, 65, 111, 173, 257?\n\"Answer: z**3 - z**2 + 32*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 4. What is the closest to 1\/4 in -1\/4, 3\/7, l?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -107357, -214203, -321049?\n\"Answer: -106846*j - 511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4212 is divided by 1154?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 15, i: 4}. Give prob of sequence iz.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) + 0 + -3)*1)**2*3 - -3*(2*sqrt(44)*2 + sqrt(44))\/(sqrt(256)*-2).\nAnswer: -2031*sqrt(11)\/16 + 1644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 5 = 3*k - 5*k, k = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**5\/60 - 5*b**4\/24 + b**3\/6 + 9*b**2. Let q be m(6). Let v(h) = 6*h**2 + 3*h**2 - q*h**2. Let u(a) = 2*a. What is v(u(z))?\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 210*a**2 - 94*a + 200*a - 124*a as g + r*a**2 + i*a and give r.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 5721800 to the nearest ten thousand.\nAnswer: 5720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - (-71)\/(-18))\/4. Is y greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 600398 is divided by 75049?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/9)\/l*l*l*l\/(l**20*l) assuming l is positive.\nAnswer: l**(-170\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133711 is divided by 976?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**4\/24 + x**3\/6 + x**2. Let p be 4\/(-8)*2*0. Calculate i(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 19 = 14. Suppose 5*a + r*m = 6, 2*a = m - 6 + 4. What is the smallest value in -2\/7, 1, a?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*j + 0)*(1 + 0 + 0)*(-11*j**3 - 12*j**3 - 9*j**3) - 5*j**4 + 2*j**4 + 0*j**4 to b + t*j**3 + d*j + l*j**2 + y*j**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-690)\/(-30) - ((-4 - 1) + 4). Let p = -1723 + -1112. Let x be (-2484)\/p + 2 + i\/(-10). Which is greater: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-42))\/(2\/3). Let q = -10 + 10. Which is smaller: q or d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7603 - 7919 = 74*h - 439*h - 3477 for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89 - -169. Suppose 5*m = -3*m + h. What is z in -2*z + 9*z**3 - z**5 + 12*z**4 - 8*z**2 + 5*z**5 - m*z - z**3 - 4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 38*f + 693. Give l(13).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 4*c. Let v(b) = -4*b**2 - 11*b + 784. Let p(a) = -4*l(a) - v(a). What is the first derivative of p(x) wrt x?\nAnswer: 16*x - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 30800903, 30800900, 30800897, 30800894, 30800891?\n\"Answer: -3*i + 30800906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**2 + l. Let i be o(-2). Let b be ((-4)\/6)\/(i\/(-195)). Find the first derivative of -10*y**3 + 273*y - 273*y - b wrt y.\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-14)*112\/(-48)*38013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -434186, -436533, -438880, -441227, -443574?\n\"Answer: -2347*v - 431839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/4 + 181*d**2 + 29239*d\/4 - 7491.\nAnswer: (d - 1)*(d + 44)*(d + 681)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y**2 - 21*y + 9. Suppose i - 173 = -168. Let k(l) = -5*l**2 + 19*l - 9. Let f(n) = i*k(n) + 4*o(n). Calculate f(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 15 - 2*u - u. Let q be j(-5). Let a(v) be the second derivative of -v**3\/6 + v**2\/2 - 252*v. What is a(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -434319, -868647, -1302975, -1737303?\nAnswer: -2171631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.54341947 rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, x: 13, z: 4}. What is prob of picking 1 i and 1 x?\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 8*f + 24 = 0. Suppose -f*q + 3 = -7*q. Differentiate 8 - q*k**2 - 4 + k**2 + 1 with respect to k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 20. Let k be s(0). Suppose 2*x + 6 = k. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**6\/420 - 14*r**5\/5 + 1372*r**4 - 1075648*r**3\/3 - 2778*r**2. Factor q(y).\nAnswer: 2*(y - 196)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/6 + (-100)\/(-60). Let n(k) = -k + 5*k**3 + 2*k**3 - 3*k**2 + 2*k**b. Give n(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 10) to base 11\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -5. Let p = 3 + o. Suppose p = 4*f + 4*g - 44, -f - 3*f - g = -29. What is the highest common factor of f and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16112 and 10564.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3129*g + 474 - 1420 + 470 + 476 to the form h*g + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*o**2*t**2 + 136*o**2*t*y - o*s - 14*s*t**2 - 2*s*t*y + 3*s*t - t**2*y wrt y.\nAnswer: 136*o**2*t - 2*s*t - t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2793*f - 2788*f + 519 = 19*s, 5*f - 105 = -5*s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2224*o - 9859. List the prime factors of z(-21).\nAnswer: 5, 7369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((2*(2*sqrt(475) - sqrt(475)))**2 - (sqrt(475) - ((sqrt(475) - 1*sqrt(475)) + 1))).\nAnswer: -5*sqrt(19) + 1899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7967 plus 588389?\nAnswer: 580422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 685 by -60.\nAnswer: -137\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 354369 (b) -4 (c) 229\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 168379.9 to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 106*t - 44*t + 143 + 167 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 6 = -0. Sort x, 1\/3, 1\/5, -9 in ascending order.\nAnswer: -9, x, 1\/5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -184*p**2. Let q(n) = n**2. Give q(c(r)).\nAnswer: 33856*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17204 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -448 = -4*g + 2*t, 3*g - 30 = 5*t + 306. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -30 + c - 3*c + 4. Let h be r(15). Does 24 divide ((-96)\/14)\/(8\/h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 59, 4, 1?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0.4779688?\nAnswer: -2.5220312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 720605429*y**3 - 79*y + 79*y + 720605431*y**3.\nAnswer: 2*y**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*o - 6. Let y(f) = -f**3 - 6*f**2 - 12*f - 2. What is the lowest common multiple of y(o) and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 646*o - 651*o + 1930 = 0. What is the remainder when o is divided by 124?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2547 (base 10) to base 13\nAnswer: 120c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2112 + -1011?\nAnswer: -10200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 19 = 5*y, -2*y - s = -6*s + 11. Suppose m + m - 5*c = 26, 5*c - 14 = -3*m. What is the second derivative of 5*r**3 - y*r**3 + 3*r - m*r**3 wrt r?\nAnswer: -30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70 (base 9) to base 5\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + -0.2. Let p = l - 0.3. Let s(r) = r**2 - 7*r + 6. Let a be s(5). What is the biggest value in p, -3, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 5*l**2 + 113*l + 33. List the prime factors of t(-13).\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 245 = 5*u, -5*s = 4*u - 4*s - 196. Let d = u - 36. What is the remainder when 36 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9\/13 = 0.079933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50.7 + -53. Let c = -2.8 - t. Let a = -1.9 - -6.9. What is the third smallest value in c, a, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 - -47. Let q = 16 - r. Which is smaller: 9 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.1, 165.9 in descending order.\nAnswer: 165.9, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 8:29 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 4*15\/12\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2)*r\/r**(-2\/11))\/((r\/(r\/(((r*r**(-14))\/r)\/r)))\/(r\/r**(-1\/17))) assuming r is positive.\nAnswer: r**(3785\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 11:15 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r + 21. Let i = -9 + -1. Let y be j(i). Suppose 2*m = 20 - 6. What is the highest common factor of m and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1908061 is divided by 10780.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 328046.03139 - 328044. Let s = 123.96937 + u. Let w = s - 126. What is w rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 8:15 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -11, -0.4, 3\/4 in ascending order.\nAnswer: -11, -3, -0.4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 75.91 (c) -2556\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a kilogram in grams?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2 = j, 0 = -a - 5*j + 359. Round a to the nearest 10.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 103\/(((-133380)\/28)\/(-5)). Let z = -1\/351 + i. Is z greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/3)\/((-17)\/(-34))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -20*k + 739. Let u(n) = 12*n**2. Calculate c(u(m)).\nAnswer: -240*m**2 + 739","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y**2 + 7 - 5*y - 2 + y**3 - 4 + 0*y**3 - 11. Determine m(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -108 - -63. Let s = -27 - o. Let x(y) = 2*y**3 - 9*y**2 + 10*y - 6. Let h be x(6). Calculate the highest common divisor of h and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**2 - 8*g + 26. Does 30 divide q(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 786407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -14113231 (base 5) in base 2?\nAnswer: -100011010110110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89824464.\nAnswer: 2, 3, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 1634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -959*i**3 - 2*i + 2*i - 965*i**3 + 1935*i**3.\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 61\/2 of a meter?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1972)\/(-119) - 6\/(-14) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-2))\/(3\/30). Let l be c\/20 + 289\/4. Let o = -9 + 17. Calculate the greatest common divisor of l and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**2 + 146612*h + 7174384 = 0. What is h?\nAnswer: -36604, -49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4591, 9511, 14463, 19447, 24463, 29511?\nAnswer: 34591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = -68 - 52. Suppose -3*r = x - 17, 2*r + 4*x - l = 8. Solve -2*y = 3*c - 4, -4*c - r = -y - 25 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*i**2*o**2 + 31*i**2 + 5*i*o**2 + 75*o**2 - 21*o wrt i.\nAnswer: -34*i*o**2 + 62*i + 5*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-21)\/(1890\/(-156)) - (2 + (-16)\/10). Factor q*b + 4\/3*b**2 - 8\/3.\nAnswer: 4*(b - 1)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 238 = 3*a - 242, -3*u - 47 = -4*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 11)*(1 - 1 + o) + 27*o + 168*o - 109*o.\nAnswer: 96*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*l - 365 = 363*l - 730*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -2*w**7\/35 + w**5\/4 - 48*w**2. Find the third derivative of p(a) wrt a.\nAnswer: -288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 smaller than 615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*g - 353*g = -187 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5339533 by 2.\nAnswer: -5339533\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**4 + 2*v**4 - v**4 - 2 + 2 + v**4 + (236 - 118 - 171)*(-v + v + v**4).\nAnswer: -54*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8789 = 3*q - i - i, -2*i = 5*q - 14627. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/2)*m)**(-12))**(-21)\/(m**(-1\/4)*m*(m*(m*m*m**(-1\/4))\/m)\/m*m*(m\/((m**(1\/4)\/m)\/m))\/(m*m**4\/m)) assuming m is positive.\nAnswer: m**(499\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 2:46 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 56106510 rounded to the nearest one hundred thousand?\nAnswer: 56100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1909, -15421, -52107, -123553, -241345, -417069, -662311?\n\"Answer: -1931*a**3 - a**2 + 8*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 67*i**2 + 118*i - 990. Is 18 a factor of v(-63)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -0.003, -15\/2?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 8 = 0, 4*h - 4*v = 3*h + 29. Let i(z) = 58*z + 3. What is the remainder when i(1) is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 336, 347, 372, 417, 488, 591, 732, 917?\nAnswer: 1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, z: 5, l: 2, i: 5}. Give prob of sequence lzia.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - 1) + (52 - 65)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18206 - 16686. What is the least common multiple of 800 and b?\nAnswer: 15200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 3494 = -3454 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 5*m + 292 + 627, -5*m - 497 = 2*o. Let z = 288 + o. Let b be (-2)\/(-9) - (-232)\/9. What is the greatest common divisor of z and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*i**2 + 2)*(5 - 5 + 13*i + (i + 0*i + i)*(6 + 5 - 1)).\nAnswer: -66*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6858862 + 2?\nAnswer: -6858860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**3\/3 - 7*j**2\/2 - 2*j + 483. Let a(f) = -3*f**2 + 14*f + 4. Calculate -3*a(g) - 7*z(g).\nAnswer: 2*g**2 + 7*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 186*q**2 - 21*q**2.\nAnswer: -207*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/37 (b) -5.8 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6605 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/1 - 1)*-2. Suppose t*o - 158998 = 3*o + 2*g, -2*g = o - 159002. Round o to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -231 or -232?\nAnswer: -232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 18 = -a - a, 4*d = 4*a. Suppose 0 = -t - d*t. Let m = -1 - -3. Are m and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 * -51.773949\nAnswer: 1449.670572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbbbjcjjb. Give prob of sequence bcj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(3\/2)\/d*d*d*d**(-7))**37)**(-19\/2) assuming d is positive.\nAnswer: d**(6327\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 4*p + 4, 4*u + 166*p + 8 = 161*p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 3*x = -3, 2*x - 4 + 3 = 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.62 (b) 2\/15 (c) 2.01 (d) 2\/125 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -74*o. Let m(w) = w - 1. Let s = -143 - -141. Let x(h) = s*m(h) - f(h). Differentiate x(v) wrt v.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 10:26 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -3*g + z + 18, 0 = 5*g - z - 23 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -1)*1*-3 - (1 + 6*-2*sqrt(5)).\nAnswer: 2 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -184469*a**2 + 77*a + 24014456.\nAnswer: -368938*a + 77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 99344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*a**2\/4 - 39495*a - 52659\/4.\nAnswer: -3*(a + 17553)*(3*a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 9360?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 5. Let s be 3\/(0 - (-4)\/12). Let m = s + -18. Let c be u(m). Solve -3*g - 3*x + 15 - 3 = 0, 0 = 5*g - c*x + 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/22)\/m)\/m)**27*(m*m\/(((((m*m**7)\/m)\/m*m)\/m)\/m))\/(m**(3\/2)*m) assuming m is positive.\nAnswer: m**(-641\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(3120\/3130 - 1). Let p = s - -313. Let n = -6 + 3. Which is the closest to -1\/2? (a) p (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v. Suppose -c - 3*z + 12 = 0, 12 = 6*c - c + 3*z. Suppose 4*b - 11 + 3 = c. Let q(g) = -16 + 7 + 9 + 3*g**b. Give q(w(h)).\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 4*n - 2*g - 22, -g = -n + 7. Let i(y) = -2*y**2 + n*y**2 - y - y**2 + y**3. Let v be 473\/(-121) + 4 + 46\/(-22) + 2. Determine i(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -12 + 15 + (3 - 0) - 1. Solve r*h - 15 = 5*j, 4*j + 14 = -3*h + 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w**2 - 13*w**2 - 6 + 6*w**2 + 3*w**2 in the form v*w + p + a*w**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3330 and 535100?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + 17 + (-13 - -7) - -44.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -m - 5*p, -2*p + 18 = 3*m + 1. Suppose 4*a + a - m*h + 10 = 0, -2*a - 8 = -3*h. Solve 4*d**2 + 2*d**4 + d**2 - 5*d**a = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104 (base 6) to base 3\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 6 = -4*t - 12, 0 = 3*n + 4*t + 21 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 - 68. Let b = t - -32.84. Let z = b + 2.4. Round z to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b + 37. Let t be n(14). Let h(f) = 355*f - 179*f - f**2 - 178*f - 32 + 31. Calculate h(t).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(-96)\/54*6. Let s be (-3)\/10 - a\/64. Solve 0*y**4 + 2\/5*y**2 - 2\/5 - 3\/5*y - s*y**5 + 4\/5*y**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 14*g + 27. Determine n(3).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -229 - -231. Solve 3*b = s*k, -3*b + 0*b = -5*k - 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 > 203\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 - (147 + 54 + -88)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -14502 (base 8) to base 16\nAnswer: -1942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-9)*3*(-117)\/26. Let z(v) = 2*v**3 - 8*v**2 + 8*v + 19. List the prime factors of z(l).\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3728 is divided by 514.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16416, -32905, -49394, -65883?\nAnswer: -82372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 13\/676069?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.43037 - -0.13037. Let r = 1\/15 - 2\/5. Sort r, 4, -0.5, x.\nAnswer: -0.5, r, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 30.9764317?\nAnswer: 26.9764317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 37 = 4*o - 56 + 3 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31836.\nAnswer: 2, 3, 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m + 7. Let i be w(0). Let n(t) = t - 4. Let h be n(i). Is -1 + (-2 + 11 - h) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 6:23 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*n - 4*j + 5*j, 0 = -2*n - 2*j - 6. Let v = -7 - -6.6. Which is the nearest to -0.1? (a) 1 (b) v (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 + 3\/2*b**5 + 249\/2*b + 69*b**2 - 30*b**3 - 24*b**4 = 0. What is b?\nAnswer: -1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 10, 115, 183, 3, -12 in decreasing order.\nAnswer: 183, 115, 10, 5, 3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28730153 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 5:29 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m**4 - 2281*m**3 + 23*m**2 + 486770*m.\nAnswer: -36*m**2 - 13686*m + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 333 - 333. Let q(b) be the third derivative of -1\/180*b**5 + s*b - 4*b**2 + 0 + 1\/12*b**4 - 1\/2*b**3. Determine l, given that q(l) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 408 = 5*r - 4*p, -2*p + 392 = 5*r. Solve -41*q**4 - 29*q - r*q**2 - q**5 - 16*q - 10 + 11*q**4 - 70*q**3 - 4*q**5 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h + h + 0*h)*(3 - 2 + 1)*(-2*h + 2*h**3 - 13*h**3 + h) to the form t*h**3 + y*h**4 + n*h + r + w*h**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 2175084*z - 80482215.\nAnswer: 3*(z - 725065)*(z + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 566*i = 580*i - 1022. Solve 5*j + i = 58 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -173*w - 1173. Let f be k(-7). Solve -3*x + 4 = j, -2*j - 36*x - 8 = -f*x for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 77*h**2 - 251*h - 2146. Let x be n(-74). Let j = -29\/24 - -7\/8. What is the second smallest value in j, 3, x, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104926)\/(-2281)*(9\/(-4))\/9*(-2)\/(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68781?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 2576897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 - -36. Let i = h - 44. Suppose 2*s - i = 5*p, -s + 3 = -p + 4*s. Which is smaller: p or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31288317 + 31288402.999828. Let g = c + -86. What is g rounded to 5 decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1 + 0 = 0. What is the tens digit of (-12)\/s - (2 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + n - 100 = -n, 112 = 3*s - n. Calculate the smallest common multiple of 48 and s.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 270 and 87289367?\nAnswer: 87289097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 56*l**2 - 51*l + 140. Let b be q(-55). Let f = 548 + b. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 24757.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u - 1. Let s be m(4). Let y = 28 - s. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 0*l - l**3 - 61*l**2 + 2*l + 51 + 37*l**2. Let u be r(-24). Solve 0 = -10*n + u*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-136)\/272 - 1\/2. Is -2\/7285 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 251019*w**2 + 9*w + 6. Let t be n(7). What is t rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 - 44. Solve -4*j + 8 = 0, b*l + 4*j - 3 = -3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -35, -61, -85, -107, -127?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 5 (c) 0 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -17.98, 2, -1168 in increasing order.\nAnswer: -1168, -17.98, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3*o = -1304. Calculate the remainder when o is divided by 31.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -68*r**2. Let k(z) = -94*z**2. Calculate m(k(y)).\nAnswer: -600848*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by 87.\nAnswer: -20\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**4*p*p\/(p**(-2)*p)*((p*p**(2\/3))\/p)**21)\/(p*p**(2\/25)*p**(-2)\/p*((p\/p**(2\/7))\/p)**(-32)) assuming p is positive.\nAnswer: p**(1186\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (9 - 13) - (19 + -40) - 7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 14*y**2 - 167*y + 318. Let s(l) = 2*l**2 + 4*l + 2. Let h be s(-6). Let c = -36 + h. What is the remainder when m(2) is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000274 rounded to 5 decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(30\/(-25)*5\/(-3))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 6*i - 4. Let z be u(5). Let m(n) = 6*n - 5. Let w(q) = q - 1. Let o(c) = z*m(c) - 5*w(c). Determine o(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 152677?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11054 - -2611. What are the prime factors of m?\nAnswer: 3, 5, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 23*r**2 - 3*r + 72. Determine b(23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 4?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2778102 is divided by 532?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 246*y**2 - 3*y + 247*y**2 - 494*y**2. Calculate g(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dvmg when four letters picked without replacement from gvggvmd?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.97 + 0.07. Let y = h - -2. Let b = 236 - 238. What is the nearest to 0 in b, -3\/14, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344*s - 294*s + 1 - 82*s**2 + 22*s - 2.\nAnswer: -82*s**2 - 616*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 9*o**2 + 74*o - 34. Let g be d(14). Solve g*l = 24*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 9*o - 3*o + o**2 + 0 - 3. Let u be y(-5). What is the units digit of (-18)\/8*u\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48495208 a multiple of 777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 870054356 take away -274?\nAnswer: 870054630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-3)*-3 + -10. Let y be (-38)\/(-4) - 2\/(-4). Is (k\/10)\/((-4)\/y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 25*f**2 + 15*f + 8. Let m(l) = 17*l**2 + 10*l + 5. Suppose 0*v - 5*v + 40 = 0. Let k(u) = v*m(u) - 5*z(u). Find the second derivative of k(x) wrt x.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54 - -23) + (13 - -13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 8:58 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -3, 11298, 18?\nAnswer: 11298","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/(-153))\/((-8)\/12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4209771 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - -56489280?\nAnswer: 56489286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 53651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**4\/4 + c**3\/3 - 6*c**2. Is r(-4) 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 2:58 AM and 6:20 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 9 - (-2 - -10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gttktktgkctktqgctgt. Give prob of sequence gg.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.99588 rounded to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29458622 and 20.\nAnswer: 294586220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 7*j**2 - 19*j + 94. Let d be o(0). Calculate the greatest common divisor of 1363 and d.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -332, -663, -994, -1325?\n\"Answer: -331*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 57478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, e: 1, f: 1, v: 1}. What is prob of picking 1 v and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -156 or -44473\/287?\nAnswer: -156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - 7. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/450 and 29\/48528180.\nAnswer: 242640900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094364 at most 1094364?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7819\/12 + -652. Is 0 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4327.34l?\nAnswer: 4327340","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5140 = -8*k + 5124. Put -3, k, 0, -4 in increasing order.\nAnswer: -4, -3, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -73158796*a**4 - 93835253 wrt a?\nAnswer: -292635184*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - -1*sqrt(72)*1)\/(5*2*sqrt(12)))\/((sqrt(150)\/sqrt(3) - sqrt(50) - 6*sqrt(6)\/sqrt(3))*5).\nAnswer: -sqrt(3)\/150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -458 + 809. Is 39 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/7 (b) -3 (c) 59786 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 378 and 651?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 313 (c) -5 (d) -2\/109\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 + 79 - (-2 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffww when four letters picked without replacement from {v: 1, w: 2, f: 14}?\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (169 - 9)\/(1 - -1) and 30.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.255704 rounded to one dp?\nAnswer: 14.3","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvuv when four letters picked without replacement from vuvvvqqvvvqmvvvu.\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i - 90 = 21*i. What is the remainder when 344 is divided by i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188862 less than 188857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 2. Let u(q) = q**2 + 6*q + 3. Let r(j) = -j**2 - j - 1. Let p(k) = 2*r(k) + u(k). Let c be p(2). Sort i, c, -5 in descending order.\nAnswer: c, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -187*v**2. Let k = -118 + 120. Let r(m) = k*m - 5*m + 4*m + m. Determine r(d(y)).\nAnswer: -374*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/3 + (-320)\/60. Sort -6, u, -2.\nAnswer: -6, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 369 - 368. Let w = -42 + 115. Suppose -w = -p + y. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2\/21)*p*p)\/p)\/p**(2\/57)*p**(-22)*p**(2\/7))**43 assuming p is positive.\nAnswer: p**(-357631\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1164268\/(-748458)*((-1)\/4*2 - (-14)\/(-20)).\nAnswer: 28\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -26*z. Let i(b) = 4*b**2. Let n(s) be the second derivative of -s**4\/12 - 34*s. Let t(k) = -i(k) - 5*n(k). What is t(m(d))?\nAnswer: 676*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1987 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521606.\nAnswer: 2, 31, 47, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (-53 + 9 - -13).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 457\/6 + (-14)\/84. Suppose -4*p = -4*a + k, -2*p = 3*a - 3*p - 67. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15\/140)\/(9\/894). Let v = -32\/3 + f. Is v smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8.5, 0.4, 5, 4?\nAnswer: 8.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 124.78153 and -255658.2.\nAnswer: -255533.41847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3 + 25*h + 1 + 22*h + 6 + h**2 - 48*h. Let q(m) = 2*m**2 - 1. Let u be q(2). Is r(u) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 30*i**2 - 3*i - 2. Is g(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/88)\/(3*12\/72)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*((sqrt(704)*-2)**2 + -3))*-2.\nAnswer: 16882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (500\/12)\/(-5)*24\/112*-7.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1087\/292 - 2\/73. Let h be (-4055)\/(-15) - 1\/3. Let d = -1898\/7 + h. What is the common denominator of d and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2775 + 646. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12259 - -12397. Which is smaller: 2 or q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.65 - 347?\nAnswer: -347.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 690 = 2*q - 344. What is the remainder when q is divided by (4\/(-42))\/(225\/(-175350)) - (-2)\/(-9)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -0.4, -15996\/67, -4, 2 in descending order.\nAnswer: 21, 2, -0.4, -4, -15996\/67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: a (base 13) to base 5\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.3 + -0.3. Let n = -12 - -5. Let h = n + 7. What is the second biggest value in -0.2, h, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 + (-172)\/32)*32\/(-4). Let c(j) be the second derivative of 0*j**h - 16*j + 0*j**2 + 0 + 1\/6*j**4. Let l(x) = -15*x**2 + x. Give c(l(i)).\nAnswer: 450*i**4 - 60*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1397 is divided by 128?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -83191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(363)*1 + (sqrt(363) + -2)*-5 + (3*(1 + sqrt(363))*2 + 3)**2.\nAnswer: 1144*sqrt(3) + 13156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 24 = -4*q. Let s(i) = -i - 3. Let g be s(q). Let m be -4*(g\/(-6) + -2). Which is the smallest value? (a) m (b) -1\/2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4}. Give prob of picking 4 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 522, 687, 956, 1329, 1806, 2387?\n\"Answer: 52*v**2 + 9*v + 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 17\/4 (b) 157 (c) -2 (d) -1\/2 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -187, -1778, -6073, -14416, -28151, -48622?\nAnswer: -77173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1645 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 115779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 965467002 to the nearest integer?\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.9 and 241.\nAnswer: 239.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*m = 36, m - 1 + 9 = l. Let x(y) = -9*y - 53*y - 10*y + l*y. Let p(o) = -3*o**2. Calculate p(x(f)).\nAnswer: -11532*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*b + 5*c, -28 + 8 = -2*b - 5*c. Suppose 3*p + 0*j = 3*j, 0 = 4*p + b*j - 9. What is the highest common divisor of 2 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4050 at least as big as 1\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 7749*c**5\/2 + 199239*c**4\/2 + 327402*c**3 + 238224*c**2 - 98064*c + 264 = 0.\nAnswer: -22, -2, 1\/369, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7274505 minus -38?\nAnswer: 7274543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/6 + (-320)\/(-30). Suppose 4337 = -u*l - 2373. What is l rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 245, 492, 739?\nAnswer: 986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 57\/(-11) - (52\/(-44) + 1). Let k(n) = -4*n**2 - 23*n - 8. What is the units digit of k(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 + 322 = -55*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + 2*r**2 - 2*r**2)*(-11*r + 3*r**2 + 11*r) + (3*r**4 - r**4 - 3*r**4)*(-62 + 16*r + 62).\nAnswer: -22*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -27\/4*m**4 + 21\/10*m**5 + 0*m - 6*m**2 - 1\/4*m**6 + 10*m**3 + 67. Determine x, given that q(x) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.2*-5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 5 - (2 + -2) - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 400 - 397. Which is the third biggest value? (a) 2\/7 (b) l (c) 0.2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 + (24 + -86 - -47)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 218?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 e, and 1 r when three letters picked without replacement from ervmmmvhmmmrrvr?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2838637 - 27\nAnswer: -2838664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 73738\nAnswer: 1\/73738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12128579*q**4 - 3346*q + 1608 wrt q?\nAnswer: -145542948*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 divided by -7410?\nAnswer: -22\/285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 22*f. Let o(s) = 66*s. Let j(z) = 3*z**2 - 20*z + 15. Let v be j(6). Let m(n) = v*o(n) - 10*t(n). Let a(g) = -2*g**2. What is m(a(i))?\nAnswer: 44*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 995930083.\nAnswer: 16087, 61909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115426 is divided by 111100?\nAnswer: 4326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 527.0714 millilitres in litres?\nAnswer: 0.5270714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.7 (b) 0.166 (c) 2\/9 (d) -8\/61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -126 divided by 6\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 9*u**2 - 8*u - 5. Let l be k(10). Calculate the highest common factor of l and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 - -58. Suppose -5*d + z = -4. Suppose -3*y - d = 4*s, -5*s + 5*y - 11 = -51. Let r(m) = 2*m**2 - 4*m + 2. Determine r(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -2640?\nAnswer: -2645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 u when three letters picked without replacement from {i: 1, c: 2, p: 1, f: 1, u: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 22 = -2*j. Suppose s - 1 = f - j, -2*s = -f + 19. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011 + -101?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-8064)\/(-53504) + 3*(-4)\/342*3\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1564.\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -8673 less than -8674?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 101?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*u + 14, 5*p = -0*u + u + 31. Suppose -t + p - 1 = 0. Suppose t*i - 2 = 4*k - 73, 5*k + 5*i = 100. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4 + (sqrt(48) + 1 + -3 - ((sqrt(81) - (sqrt(81) + -1*sqrt(81)) - sqrt(81))\/sqrt(3) + sqrt(27))\/sqrt(9))))**2.\nAnswer: -144*sqrt(3) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-8)*(-9300)\/4620 - 7*-1?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, o: 3, s: 6, b: 4}. What is prob of sequence doo?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 225195?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 7:51 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 4*u**2 - 3*u + 1. Let p be j(2). Solve 5*d + p*b = 16, 34 = 5*d - 2*b - b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -15*y + 25 + 5*y**2 + 15*y - 1. Let d(f) = -f**2. Calculate d(a(k)).\nAnswer: -100*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x = -17*x + 3*b + 31, -2*x = 14*b + 62 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -47*o + 34. Let f(l) = 236*l - 172. Let d(c) = -3*f(c) - 14*h(c). Find the first derivative of d(x) wrt x.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 11*y**2 - 3*y - 11. Let j be o(-2). Let s be -3*((-247)\/j - (-4)\/6). Sort -4, -2, -1, s in increasing order.\nAnswer: -4, -2, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 726, 1103, 1724, 2589, 3698, 5051?\nAnswer: 6648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 145 + -57. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 1)*(1 + 5 - 4) + 2 - 4 + 4)*(29 - 57 + 23 + 7*w**5).\nAnswer: 42*w**5 - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1500) - sqrt(60) - (1*sqrt(735) + sqrt(735)))\/(3*sqrt(25)\/sqrt(5)*2))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 87*j**2*w*x - 8*j**2*w + 389*j**2*x - 8*j**2 - j*x wrt w?\nAnswer: 87*j**2*x - 8*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 13*r**2 - 12*r + 5. Let h = -21 - -9. Let l be a(h). Let c(d) = d**3 + d**2 - 6*d + 1. Is c(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 156 or 179?\nAnswer: 156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 6) to base 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1071 divided by -3.\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-1 + (-2 - 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 times -2121493?\nAnswer: -33943888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656849 is divided by 75.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {c: 2, w: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 2*q + 610, 0 = k - 7*q + 8*q - 195. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 - -0.3. Suppose -2351076*j + 2351077*j + 5 = 0. Which is the closest to 19? (a) j (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -2\/3 (b) 0.33 (c) -2\/9 (d) -7\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -3 + -12)\/((-4)\/18). Find the third derivative of -50*p**3 + x*p**2 - 60*p**3 + 194*p**3 - 11*p**3 wrt p.\nAnswer: 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28439706 to the nearest integer?\nAnswer: 5333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -46. Calculate the highest common factor of 12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 150 = 174. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98610067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-31)\/62)\/(-1 + (-11)\/(-12)). Let y(x) = x**3 - 5*x**2 - 6*x + 6. Calculate y(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-67 - 17 + 21)*(-3*f**4 + f**4 + 0*f**4) + f**4 + 0*f**3 + 0*f**3 as q*f**3 + n*f**2 + z*f + l + c*f**4 and give c.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 22*j + 19*j - 3 - 45*j + 3*j**2. Let a be o(-1). Sort -10, -2, a.\nAnswer: -10, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q - 1. Let j be (24\/18)\/(1\/(-15)). Let o = 11 + j. Is s(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -24)\/((-1)\/(-2)) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44476553661 + 559.\nAnswer: -44476553102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*(-6)\/(-552))\/((-13)\/(312\/(-36)))?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98001, -195985, -293955, -391905, -489829, -587721, -685575?\nAnswer: -783385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 537260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/5 + 555008*g**2\/5 - 2220044*g\/5 + 2220048\/5.\nAnswer: (g - 2)**2*(g + 555012)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(396))*-5*-2 + 3*(sqrt(396) + -3 + -2))**2.\nAnswer: 5460*sqrt(11) + 68149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 5. Suppose -3*a + b + 12 = 0. Suppose 0 = 3*m - 20 - a. Solve -m = -3*i + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 44*p + 126. Give a(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -12, -2, 10, 24, 40, 58?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12 - (-9 + 25484\/1449)) + (-2)\/(-14). Find t such that n + 56\/9*t**3 + 2\/3*t**4 + 18*t**2 + 16*t = 0.\nAnswer: -4, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9986 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 9*s**2 - 7*s + 71. Calculate w(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**2 + 10*n + 310. Calculate o(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 8*l**2 - 33*l + 11. Let v be y(11). Suppose -15*a + 764 = -v*a. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 502*n + 5. Let w(j) = 342361*j + 3409. What is 3409*q(a) - 5*w(a)?\nAnswer: -487*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 5\/9, 11, 3, 0.1, 2\/7 in descending order.\nAnswer: 11, 3, 5\/9, 2\/7, 0.1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t + 30. Let f be m(7). Let v(o) = 8*o**2 + 16*o - 5. What is the units digit of v(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1489130407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**4\/2 - 9*s**2 + 44*s - 54. What is the first derivative of f(r) wrt r?\nAnswer: 6*r**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2699?\nAnswer: 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -14310 (base 5) in base 9?\nAnswer: -1578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t. Let x(i) = -671*i. Give 305*b(u) - x(u).\nAnswer: 61*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 - (-35 - 38) - (-90)\/5?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2.1*-16341279\nAnswer: 34316685.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 148848*f**2. Let a(h) = -2*h. Determine g(a(k)).\nAnswer: 595392*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6798, -27172, -61134, -108690, -169846, -244608?\n\"Answer: -q**3 - 6788*q**2 - 3*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -545 by -3.\nAnswer: 545\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 8*p**2 + 31*p - 22. Let n be w(-11). Let k(q) = 2*q**2 + 2*q - 4. What is k(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2788)\/(-123)*(-12)\/(-8).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 116565710 and 1975690.\nAnswer: 116565710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 485919176 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: Round -0.0002114773942 to 5 decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -101 and -1243668 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - 0 - (10 - 2). Suppose -h = -5*h + 76. Let l = w + h. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 2*g + 2*s, -15 = g - 4*g - s for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 14*t**2 + 2941*t - 2*t**2 + 21*t**2 - 5883*t + 2941*t. Let v = 1 - 0. Determine p(v).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2464 a factor of 97699139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 194 + -194. Which is the nearest to 5\/6? (a) 4 (b) z (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -7\/8*p**2 + 3\/4*p + 0 - 9\/4*p**3 - 5\/8*p**4 = 0.\nAnswer: -3, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**4\/4 + 641*d**3 - 15411*d**2\/4 + 11563*d\/2 - 2570 = 0?\nAnswer: -2570, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1044 and 2754?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5379212 (b) 1 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*(sqrt(17) + -1)*2 + -4 + 3.\nAnswer: -4*sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 0 + 0*v**5 + 0*v**2 + 1\/4*v**4 - 1\/56*v**8 + 0*v**3 + 0*v**7 + 0*v**6 - 3*v. Find the third derivative of t(p) wrt p.\nAnswer: -120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from eetgtgtt?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4457132 - -3\nAnswer: 4457135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 248589.6 micrograms?\nAnswer: 0.2485896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36.4 - 27. Let s = p - 7.44. Let c = s - -0.04. Is -1\/3 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 903 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-3 - (5 - 12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/1210 and 89\/30580.\nAnswer: 336380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -15. Let s be (2\/(-57))\/(u\/12). Put 5, -3, s in decreasing order.\nAnswer: 5, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-418)\/(-99) - 2\/9. Suppose f*h + 41 = 289. Let a = 136 - h. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k**2 + 1 + 0*k + k**3 - k - 2*k**3. Suppose -5*y + 16 + 24 = 0. Let n(x) = -x**3 + 8*x**2 - 2. Let i be n(y). Calculate o(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 31*k**6\/40 + k**5\/30 - 189*k**3\/2 - 1218*k**2. Find the first derivative of a(i) wrt i.\nAnswer: 279*i**2 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (-86 - -32) - -49.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 47 = -2*v. Suppose 8 - v = -4*f. Suppose 0 = 4*l + l + f. Let h(a) = 6*a + 1. Give h(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 - 856\/(-7) - (-4)\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2080494810 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*g - 6 = -3*n, -3*n + 9 = -3*g - 2*n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/96 and -43\/1312.\nAnswer: 3936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 576 - 599 + 4*i + 3681*i**4 - 1590 wrt i?\nAnswer: 44172*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -552713*c**2 - 2433052.\nAnswer: -1105426*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 298.8781 litres in millilitres?\nAnswer: 298878.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 433*f**3 - 664*f + 664*f - f**3 - f**3 - f**3 + 2*f**2 - 2*f**2 - 2*f**3 + (-3*f - 4*f + 5*f)*(-f - 2*f**2 + f) + f**3 + 2*f**3 - 4*f**3.\nAnswer: 431*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -262390, -524781, -787172, -1049563, -1311954, -1574345?\nAnswer: -1836736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.88413 times -343?\nAnswer: 303.25659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 130451.65 - -15198973.\nAnswer: 15329424.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*p - 2 = 0. Let h(s) = -9*s**3 - s**2 - 2*s - 4. Let z(t) = 16*t**3 + 2*t**2 + 4*t + 7. Let r(j) = -11*h(j) - 6*z(j). What is r(p)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -58, -89, -124, -163, -206?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18273 + 11281 = 383*b - 4150 for b.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 48*u**3 - 18*u**2 - 73*u - 39. Let z(y) = 19*y**3 - 6*y**2 - 29*y - 15. Calculate 5*r(b) - 13*z(b).\nAnswer: -7*b**3 - 12*b**2 + 12*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m. Let v = -3 - -4. Suppose i - v + 0 = 0. Suppose -5 + i = -4*f. Give a(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j + 164 - 164 - 12*j.\nAnswer: -19*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-40 + -8)\/(-3) + (-12 - -3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 9 = 3*m. Let y = 1129 - 723. Let p = y + -406.1. What is the closest to p in 4, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -113, -153, -37, 313, 975, 2027, 3547?\n\"Answer: 13*g**3 - 131*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 + j**3 + j**5 + (-3*j**4 - 2 + 3 + 5*j**4)*(-j - 4*j + 2*j).\nAnswer: -5*j**5 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-18))\/(1191\/2382)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8545 (base 11) to base 8.\nAnswer: 26046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 17698 = 3*g, 3*l = -l + g + 35368. Let d = 13690581 - 164392957\/12. Let h = d + l. What is the common denominator of h and 79\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3977295 divided by 265153?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12266, -24592, -36930, -49280, -61642, -74016, -86402?\n\"Answer: -6*r**2 - 12308*r + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1111*m**3 - 749*m**2.\nAnswer: 6666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -50, -84, -104, -110, -102?\n\"Answer: 7*l**2 - 55*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 - 56. Let k be (18\/s)\/((-6)\/152). Suppose 36 = 41*l - k*l. Solve -3*c - l = c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 3)*(d + d - 3*d)*(-1 + 2*d + 1 + (-d - 1 + 1)*(1 + 3 - 3) - 5 + 4*d + 5)*(-3 + 0 + 1).\nAnswer: 40*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.02, 120755, 0.2, 4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 2639716625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7792 rounded to the nearest 100?\nAnswer: -7800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 556813 or 556815?\nAnswer: 556813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -67? (a) 0.201 (b) 1 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1097 + -1088. Calculate the lowest common multiple of l and 122.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*t - 9. Let j(i) = i**3 + i**2 + 8. Suppose -13*o = -8*o. Calculate the remainder when j(o) is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -31851, -30916, -29979, -29040?\n\"Answer: m**2 + 932*m - 32784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**3 + 25*l**3 - 3*l**3 + (-2 + 2 + l**2)*(2*l + 1 - 1) - 14 + 14 + 5*l**3.\nAnswer: 25*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 0.7. Let p = 10.1 + -11.1. Which is the nearest to -1\/2? (a) p (b) -0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j - 1. Let a be 7*-1*(-6)\/21. Let p be 5\/(-8)*a*4. What is n(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 4*w - f = 27, -5*w - 4*f + 42 = 0. Let h(n) = n**3 - 3*n**2 - 4*n + 6. What are the prime factors of h(w)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - h**2 - 3*h. Let f(k) = -7*k**3 - 3*k**2 - 14*k - 3. Let y(w) = -f(w) + 6*n(w). Let b = 49 - 45. Give y(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(5) - (sqrt(5)*1 + 3)) + 2*(2*sqrt(5) - sqrt(5)) + sqrt(5))**2 - ((sqrt(405) - (sqrt(405) + 1)) + -1)**2)*-3.\nAnswer: -600 + 216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 7*x**3\/6 - x**2\/2 + 230*x. Determine u(5).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14436 and 68?\nAnswer: 245412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = 271 + 1137. Let s = -463 + 911. What is the greatest common factor of s and h?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.4 - 3.07. Let i = k - 0.43. Which is the closest to i? (a) 0.5 (b) -0.5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 15 = 2*k. What is the nearest to -2 in 1\/4, -3, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 + m**3 + m**3)*(m + 18 + 6 - 4 + m - 4*m + 4*m + (-2 + 4 + 0)*(0*m + 4*m - 3*m) + m + 2*m - 2*m).\nAnswer: 5*m**4 + 20*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 2*g**4 - g**2)*(-7 - 2 - 2) - 800*g**4 - 563*g**4 + 987*g**4.\nAnswer: -398*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 3378925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v - 23. Let x be k(12). Let h = -78 - x. Solve h*c + 5*z = -25, -4*c - 2*z = -1 + 11 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 20*z**2 + 14*z - 71. Suppose -39*x + 95 - 329 = 0. Let c(w) = -7*w**2 - 5*w + 24. Give x*r(q) - 17*c(q).\nAnswer: -q**2 + q + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 640871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -4, -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*d = 20, -4*d + 5 - 18 = -s. Let u be 4\/12*(12 - s). Solve -4*q - 2*i - 20 = 0, 2 = -3*q + u*i - 13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/39 and 51\/1646.\nAnswer: 64194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11\/122, 408, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 82*c = 79*c - 51, -51 = 3*b - 3*c for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15836035 a multiple of 2198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 753285 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5758 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2970 = 1140. Let z(j) = 0*j + 3*j - p*j**2 - 3*j + 2057*j**2. Let t(d) = -30*d**2. Calculate z(t(o)).\nAnswer: 1800*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = m + 42, -3*f = 5*m - 144 + 50. Suppose p - 3*p = -4*t + f, t = 4*p + 27. Solve -12*n = -5*n - t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9520*p**5 - 3*p**4 - p**3 - 1104*p**2 - 3*p - 36?\nAnswer: -571200*p**2 - 72*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/5 - -3)*-10. Let t(y) be the first derivative of y**3 - 1\/4*y**4 + 0*y**2 - 12 + u*y. Determine t(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.093624 to 3 decimal places.\nAnswer: 0.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -289, -855, -1767, -3091, -4893, -7239, -10195?\nAnswer: -13827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - -0.1. Let t = -0.22 - h. Let x = -5\/32 - 3\/32. Are t and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbk when three letters picked without replacement from {k: 4, b: 10}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-273.\nAnswer: -1092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) - (sqrt(2496) + sqrt(2496)*2 - sqrt(2496)))\/(sqrt(27)*-1 + sqrt(3)).\nAnswer: 15*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154665, 154662, 154633, 154578?\nAnswer: 154497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 61183996 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 10*a**2 + a - 8. Let r be j(12). Let m(i) = 2*i - i - 5*i**2 - r + 294. Let x be m(-2). Is x equal to -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*a**4 + 5 - 14*a**4 - 14*a**4 - a + 50*a**4 - 35*a**2 - 239*a**3 - 12*a**4 wrt a.\nAnswer: -216*a - 1434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.047851989 rounded to four dps?\nAnswer: -0.0479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-29376)\/(-170))\/16*(-5)\/(-10)?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 56\/21*21\/(-4). Let j = -9 - d. What is the remainder when (-2)\/(-5) + 63\/5 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06571 to 4 dps.\nAnswer: -0.0657","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 121231.6 litres in millilitres?\nAnswer: 121231600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - s + 22 = 0, 2*o - 5*s - 39 = -14. Suppose j + o*h = 193, 3*j = -4*h + h + 639. Is j a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14\/21)\/(4\/(-6)). Let s(c) = -21*c + 16*c - 13*c. Calculate the smallest common multiple of 2 and s(o).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.524 + 0.024. What is the nearest to -2 in 0.4, 4\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -723653 + 26841.\nAnswer: -696812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/3*(-90)\/60. Let o(c) = c + 0*c - c**2 + 0*c**2. Let x(n) = 6*n**2 - 7*n + 1. Determine i*o(z) + x(z).\nAnswer: z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axxbsxxawaxxb. What is prob of picking 1 b, 1 x, and 1 s?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36418128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -498*i + 4479. What is g(9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**3 - 3*x**2 - 2*x - 1. Let y be h(3). Suppose -2*t - r = -129, 5*t = 9*t + 4*r - 276. What is the greatest common divisor of y and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fj when two letters picked without replacement from {f: 2, j: 5, n: 2}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (9\/(-6))\/(18\/(-120)) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, 1\/2, 1, 104?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1535330, 3070658, 4605986, 6141314?\n\"Answer: 1535328*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 12*n**2 - 29*n + 48. Calculate o(14).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x - 9 + 9)*(0 + 4 - 2) - x - x + 3*x + 2*x - 4*x + 3*x - 2*x - 3*x + x - 5*x - 11 + 11.\nAnswer: -17*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -9*q + 14. Determine b(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9337183 is divided by 294.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2. Let t be (-3 - (2 - 4))*(-8 + 6). Suppose 4*d = 2*w + 8, -2*w - t*d = -5*w. Calculate m(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15282*g**2 - 15409*g**2 + 30692*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 176*m**2 - 176*m**2. Let y(o) = -3*o**3 - 3*o**2 - 2*o. Determine -d(l) + y(l).\nAnswer: -2*l**3 - 3*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*z**2 + 67\/2*z - 65 = 0 for z.\nAnswer: 2, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 0 = -2*l, 2*w + 5*l + 13 = 0. Suppose 7500 = -w*p + 49914. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.1 (b) 0.4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2522 - -0.088?\nAnswer: -0.1642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 43739 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 5044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(441)\/(sqrt(7)*-4) + sqrt(63) - (sqrt(189) - (-4*sqrt(189) + sqrt(189)))\/sqrt(3))\/((4*((-3*sqrt(225) - sqrt(225)) + sqrt(225)) - sqrt(225))*3).\nAnswer: sqrt(7)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 114. Give c(0).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-2.89.\nAnswer: -20.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -7*o + 4, 2*z - 11*o = 2078. Does 210 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*(s\/(s*s**9))\/s*s**(9\/7)*(s\/((s*s**(-3)*s)\/s)*s)**(-28) assuming s is positive.\nAnswer: s**(-831\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 6*q + 4. Let t be p(6). Suppose -f + 0 - 38 = -5*i, 2*f - 36 = -t*i. Let w be (-2 + i)*4\/8. Solve -4*d + w*d = -3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 - 7. Let i be (-11)\/(-3 + b\/16). Let q = 46 + i. Solve -3*a + 5 = -q*h, -4*a + 2*a - 5*h = -16 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*m, 37 + 23 = 5*m - 16*d + 11*d. Factor -1\/2*y**3 + 0*y**m - 1\/4*y**4 + 1\/4 + 1\/2*y.\nAnswer: -(y - 1)*(y + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2973980 - 2965244.0973. Let q = y - 8731. Let w = 4.9 - q. What is w rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38.3 - -9.7. Let r = o + -47.96. Is r smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.9 + 4.7. Let m = f + -3. Let w = -4139 - -4141. What is the nearest to 0.3 in -0.1, m, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7158 - -7218. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4169 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/123 and 5\/21.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 88*r**2 - 99 + 7744*r + 1\/3*r**3. Factor v(y).\nAnswer: (y + 88)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 141181 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18160055659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 1051*j**2 + 19*j - 54. Let d(o) = -1049*o**2 - 17*o + 61. Let u(k) = -6*d(k) - 5*r(k). What is the second derivative of u(s) wrt s?\nAnswer: 2078","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -213 + 262. What is the derivative of -108*o + 62*o + 6*o**2 + h*o - 118 wrt o?\nAnswer: 12*o + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 145704*r**3 + 2914101*r**2 + 14570820*r + 2100.\nAnswer: 3*(r + 10)**2*(48568*r + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3099975736 to five dps.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1180 and 708?\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(192))\/(sqrt(648)\/sqrt(3)) + -2.\nAnswer: -2 - 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011100011101 - -10?\nAnswer: -10011100011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18128699689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -534, -1070, -1606?\n\"Answer: -536*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 11*h - 19. Let r be t(-8). Suppose 800010 = -5*b + b + 2*u, 4*u + 999980 = -r*b. What is b rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -164*w - 526. Let k be c(-4). Solve 1 = -k*f + 129*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-35)\/(-56))\/((-3)\/36)*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**2*u**3 - 5*s**2*u**2 - 905*s*u**2 - 3877*u**5 wrt u?\nAnswer: 6*s**2 - 232620*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12681 and 277696992?\nAnswer: 4227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + m)*(16*m + 14*m - 32*m) in the form y*m**2 + l + k*m and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 110000110 (base 2) to base 12\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 19 - 3)*(-64*g + 187*g + 74*g) in the form f*g + b and give f.\nAnswer: 2561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 7:00 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -489.3544239 to the nearest 10.\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -19*t + 484. Give x(25).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l + 51 = -4*k - 23*l, 0 = -4*k - 5*l + 16 - 91 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 48 = 14*t. Suppose t*l + 455 = 467. Suppose -2\/3*m**2 + l*m - 8\/3 + 1\/3*m**4 - m**3 = 0. What is m?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0504 + 341.0504. Let d = -341.1 + o. Let s = 10 - 12. Which is the biggest value? (a) -1\/4 (b) d (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 11*n**3\/6 + 2*n - 4. Let f(o) = -5*o. What is f(v(g))?\nAnswer: -55*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9 - (1 - 2)) + 2. Suppose -3*h = 5*b + 9, 2*b + 6 = -0*b. Does 6 divide (j + 0)\/(h\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 354343, 1417383, 3189115, 5669539, 8858655?\nAnswer: 12756463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9725876ml to litres.\nAnswer: 0.0009725876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -251 + 1596. Let i = -2413\/9 + h. Which is the smallest value? (a) i (b) 2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*w - 45*w - 23*w**3)*(-2 - w + 2) - w**2 - 4*w**2 + 4*w**4 + w**2.\nAnswer: 27*w**4 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1575 and 39165?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 96*(-15)\/(-420) - (0 + (-8)\/14). Let r(q) = 25*q - 2. Let v(a) = 25*a - 2. Determine f*v(h) - 5*r(h).\nAnswer: -25*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - 9*l - 1 + 12 + 15.\nAnswer: -10*l + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/(-1170)*603*(14 + -1). Which is smaller: k or 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 1)\/(0 + 3). Let o(f) = -4*f**2 - 2*f + 1. Let v be o(1). Let w = 4 + v. Which is smaller: w or k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -225771, -225766, -225757, -225744, -225727?\n\"Answer: 2*g**2 - g - 225772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-6)*(-2)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-4 + -1 + 1 + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5191012, -5191013, -5191014?\n\"Answer: -a - 5191011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(119)*-1*-4 - (sqrt(119) + (sqrt(119) - sqrt(119)*-2*-4) + sqrt(119)))\/(sqrt(1008)*-2*4 + sqrt(1008) - sqrt(1008)).\nAnswer: -2 - 3*sqrt(17)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7425*b - 7430*b - 90 = 3*t, 0 = -4*t - 5*b - 120 for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-4)*-20 + -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*475165.\nAnswer: 47516.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130, -199, -218, -193, -130, -35, 86?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 391*j**2 - 2500*j + 2876. Give r(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -576571\/24 - -24019. Calculate the common denominator of x and -55\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*l + 16 = 2*l, 0 = 4*s + 4*l - 16. Let v(u) = u. Let a(p) = 23*p**2 + 2*p - 16*p**2 + 1 - 8*p**2. Calculate s*a(k) - 4*v(k).\nAnswer: -2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-51)\/(-34)*(-2)\/(-3). Suppose 0*c + 4 = 4*r - 4*c, 0 = c - i. Solve 3*x**2 - 7*x + 10 - 2*x**r + 4*x**2 - 8*x = 0 for x.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**2\/5 - 928*v\/5 - 13776\/5 = 0. What is v?\nAnswer: -14, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - c**2 - 11*c - 11. Calculate w(-4).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 446 and 68329653?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 2. Let q be l(1). Let j be (-1)\/(-1) - (1 - 3). Suppose j = c + 1. Put c, 4, q in increasing order.\nAnswer: q, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 0*u**4 - 1\/2*u**2 + 1\/10*u**5 + 1\/30*u**6 - 1\/3*u**3 + 0 - 22*u. Factor g(w).\nAnswer: (w - 1)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {n: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 5*s**2 + 15*s - 3. Let l be u(-3). Are l and 1\/18 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**3 + 37*p**2 - 22*p + 226. What is the remainder when i(10) is divided by 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -789074\/9 >= -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 12358 = -8*j - 5*y, -5*j = -y - 15433. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 986.\nAnswer: 98.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 827 = 574*c + 1401 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-7))\/(1392\/(-84) - -17)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0.6427.\nAnswer: 0.6427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*t = 145*t - 54 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**3\/3 + 2342*n**2\/3 - 228930*n + 228150 = 0. Calculate n.\nAnswer: 1, 585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 619 is divided by 33?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b95 - -5ab?\nAnswer: -5d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -2*y**2 + 73*y - 16. Let j be o(17). Solve -s + 2 = -n, -j*s = 3*n - 3 - 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -42\/5, 3\/8, -3\/19 in descending order.\nAnswer: 3\/8, -3\/19, -42\/5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441980959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 - -89. Suppose 2*m - 4*m = -d + 6, -2*m + 2 = d. Suppose 2*t - u*h - 587 = -3*h, d*h = 4. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from iaxikk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -38*c. Let z(a) = -3*a. Give z(w(o)).\nAnswer: 114*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 5*b**5 + 290*b**4 + 3020*b**3 + 12440*b**2 + 22400*b + 14720 = 0.\nAnswer: -46, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -6*d + 4. Solve 2 = -d*j + g, 3*j + 5*g + 3 = -0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 384.7, -18.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -28, -28, -26, -22, -16, -8?\n\"Answer: q**2 - 3*q - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 9. Suppose a*x - 11 = 5*l, -5*x + 2*l + 3*l = -35. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w = 13*w + 21. Suppose 0*g + 5 = w*g - v, g + 10 = -2*v. Find the first derivative of 6 - 96*l**2 + 61*l**2 + g wrt l.\nAnswer: -70*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -76 - -54 - (2 + -9 + 9).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5731 - 5726. Put b, -2\/11, -16, -4, -7 in descending order.\nAnswer: b, -2\/11, -4, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 17 + -2 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + 1142. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2 + 11. Let f(z) = z**2 - 2*z - 1. Let b be f(o). Suppose 4*n + 397 + 138 = 5*c, -4*n + 242 = b*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 489542 + 10696*u + 486725 - 980547 + 10*u**2.\nAnswer: 2*(u + 1070)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5144556 (base 8) to base 4.\nAnswer: 11030211232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-20)\/((-320)\/168)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + (-4 + sqrt(5) + -1 + (sqrt(30)\/sqrt(6))**2*-3 - ((sqrt(25) + sqrt(100) + sqrt(100)*1 + sqrt(100))\/(-3*sqrt(20)))**2).\nAnswer: -677\/36 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2938276589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*a, i = -i - 5*a - 31. Let s be 1*-1*(0 + 10). Let v = i - s. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7826905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -93 - -77. Let a be (p\/24)\/(6\/(-4005)). Suppose -135 = -3*i + 2*i - 4*n, 3*i - a = -4*n. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16 - -9)*(-24 - -16). Let j(b) = 61*b**2 + 5*b + 5. Let u(x) = -672*x**2 - 56*x - 56. What is s*j(a) + 5*u(a)?\nAnswer: 56*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5233 * -66\nAnswer: 345378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 11:28 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = -10*r - 12. Which is bigger: r or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392232241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -1281*q**2 - 11*q + 132. Let k be w(13). What is k rounded to the nearest ten thousand?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 828 + 830 + 15*l**2 - 1658.\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4*i + 5 = 19, 5*b + i = 10. Suppose 0 = -2*q - 4*a - 30, -a - 39 = b*q + q. Find the common denominator of q and 2\/8*(-188)\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323*i - 333*i + 9300 = 0. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1199679 to the nearest integer?\nAnswer: 1095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -13ede58?\nAnswer: 13ede5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 80 = -4*x. Calculate the least common multiple of -66*(55\/x)\/11 and 108.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, q: 1, k: 1, c: 8, m: 2, w: 2}. Give prob of sequence ww.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-413)\/(-118) + (-653)\/(-2). What is the greatest common factor of c and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -31173, -62334, -93495?\n\"Answer: -31161*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r - 6. Calculate z(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -7, -2, 343 in descending order.\nAnswer: 343, 9, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3*w + 17487, 179*x - 23318 = 175*x + 3*w. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-3*g - 2*g + 3*g)*((0 - 1 + 2)*(-2 + 4 - 4) + 3 + 41 + 13).\nAnswer: -110*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.58 + -3.9. Are i and -0.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1176 + -230. What is the highest common divisor of n and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/6486 and -1\/138.\nAnswer: 6486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 10\/(-6)) + (-11230)\/(-1290). Let g = h - 1901\/602. What is the common denominator of g and 31\/34?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 13 = 3*q, -2*n - 17 = 2*q - 5*n. Which is the fourth biggest value? (a) q (b) 1 (c) 0.1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1977*c**2*n - 35*c*n - 209*n + 146 wrt c?\nAnswer: -3954*c*n - 35*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millisecond in microseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42291 and 284607.\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 4*s - 12, 3*s - 8 = -4*h + s. Let j = 1 - 1.1. Let q = 0.11 + -0.01. What is the closest to j in h, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35a619 (base 11) to base 16\nAnswer: 8b42e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -391*m + 388*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/208 and -109\/3530.\nAnswer: 367120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18193 and 160793?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 70497.13 micrometers in millimeters?\nAnswer: 70.49713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52 - -94. Suppose -3*r = -2*k - 193, -3*k + 48 = r - 9. Calculate the greatest common factor of n and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 98.6661ml?\nAnswer: 0.0986661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a hour in minutes?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 56*((-88)\/(-77))\/4. Let o(k) = k - 12. Let m be o(28). Calculate the highest common factor of m and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/33 + 2 + (-51)\/(-99)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**6\/120 + w**5\/15 + w**4\/12 + w**3\/2 + w**2. Is 3 a factor of m(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 5*o - 1. Suppose 2*m + 0*m - 19 = 5*g, -2 = -m - 5*g. What is w(m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/55 and 117\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61260?\nAnswer: 2, 3, 5, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (90 - 25 + 71)*(4*c - c - 4*c)*(4*c - 4*c + c**2).\nAnswer: -136*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1051*y + 1043*y - 2092*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 7*o**2 - 290*o + 1499. Determine j(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 259*r**4 + 256*r**3 + 29679 with respect to r.\nAnswer: 1036*r**3 + 768*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 49394205 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.7 - 4. Let r be ((-3591)\/(-12))\/7 + 1. Let i = r + -44. Which is the closest to i? (a) -2 (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70105 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1818, 3647, 5490, 7353, 9242, 11163, 13122?\n\"Answer: i**3 + i**2 + 1819*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 106 = -f + 380, 0 = -5*w + f + 603. Suppose 709 - w = 6*v. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3555*y - 3552*y - 33 = 0 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -6. Suppose 2*z - n*h + 0 = 3, 15 = 3*h. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 - 9815\/(-12)) + 0 + (-3)\/(-36) is divided by 75.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -31*v + 283. Suppose 0 = -49*n - 171 - 368. What are the prime factors of l(n)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**3 + 2*l**2 + l + 5. Determine s(-2).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 1 + 6)*(1 + 0 - 2)*(1 + 4 - 4)*(-5099 + 5099 - 25*m).\nAnswer: -150*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 228.244l?\nAnswer: 228244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -297304, -297305, -297306, -297307, -297308?\n\"Answer: -v - 297303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**2 - 8 + 8)*(-3*r + 0*r + r)*(r - r + 2*r).\nAnswer: -20*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-5\/2)\/(w*w**10))\/(w**(-18\/7)\/w**15))**(19\/3) assuming w is positive.\nAnswer: w**(361\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -13 + 1. List the prime factors of t - (-1 + 4 + -2) - -53.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65808*d**3 + 20*d**2 + 3069 wrt d?\nAnswer: -394848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.243 - -1.243. Which is the nearest to -1\/2? (a) n (b) -2.1 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -1\/8, -1, -0.5, 25, -123?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 33. Suppose -5*f = -2*t + 31, 4*t = -f - m*f - 8. Suppose -5*g + 1934 = -t*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (22\/(-55))\/((-1)\/10). Suppose 40 = 2*k - 2*a - 60, 0 = o*k + 5*a - 155. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 24, 44, 78, 132, 212, 324, 474, 668?\n\"Answer: z**3 + z**2 + 10*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 11:49 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26444\/154 - 5 - (-4)\/14. Calculate the highest common divisor of 1336 and w.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + sqrt(320) + -5)**2.\nAnswer: -144*sqrt(5) + 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/14 and -137\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -15520545 (base 6) to base 10\nAnswer: -554897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + (2 - (4 - 17)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -117600 - 2687?\nAnswer: -120287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 156030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11392, -11393, -11394, -11395, -11396?\nAnswer: -11397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56*124\/(-279)*(-144)\/(-224).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -9 + 4*k**2 + k**3 + 22 - 9*k**2 - 13*k - 6*k**2. Let h be (-3 - (-109)\/7) + 56\/(-98). Give v(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468917083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/sqrt(16))\/(sqrt(4)*2*-5) + (sqrt(900)*1 - sqrt(25))\/(sqrt(180)\/sqrt(4)).\nAnswer: 97*sqrt(5)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*l = 0. Let s = 80 + -78. Which is the nearest to -1? (a) -1\/4 (b) s (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**5*(c**(1\/5)*c)\/c)\/(c*(c**(1\/4)*c*c)\/c)**(-9\/4) assuming c is positive.\nAnswer: c**(821\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*l**3*t + 24*l**3 + 2*l*t - 1160*t wrt l?\nAnswer: -24*l*t + 144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 12. What is the units digit of (-34)\/u*3\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1, -7, 1\/7, 1095?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*s)*((2*s + 0*s - s)*(-3 + 4 - 2) + 149*s + 248*s - 88*s) - 5*s - 2*s**2 + s**2 + 3*s.\nAnswer: -617*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8537349 days in hours?\nAnswer: 20.4896376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ly when two letters picked without replacement from {y: 7, l: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, j: 4, y: 2, k: 2}. What is prob of picking 2 y and 2 d?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4. Let w(a) = -a**2 + 22*a - 84. Let z(d) = -3*m(d) + w(d). Determine b, given that z(b) = 0.\nAnswer: 6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.043 + 0.307. Let f = 0.064 - b. Sort f, 4\/11, 0.3.\nAnswer: f, 0.3, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -135 (base 8) to base 15\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 + 49*m**2 + 32*m - 58. Calculate the remainder when t(24) is divided by 35.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 0.3 (c) 0.1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*y + 2210025 = 0, -3*o - 65*y = -61*y - 1325980. Round o to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 8*m - 10. Determine f(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51288 by 4.\nAnswer: 12822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(8\/(-2)) - -5. Suppose 3*z - 2*h = 30, 2*z + 5*h + 33 = 6*z. Let j be -2*4*-1*z\/32. Solve c*u - u = -k + 14, -j*u + 8 = -2*k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 78*q - 80*q. Let a(c) = 4*c - 14. What are the prime factors of a(q)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 take away -9429?\nAnswer: 9351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 14*b**2 + 5*b + 2. What is the tens digit of n(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1935, -2, 996, 3 in decreasing order.\nAnswer: 1935, 996, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 30. What are the prime factors of u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/9, 2, -47?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53380 is divided by 177.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -13ae9e?\nAnswer: 13ae9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -210\/11, -1\/4, -5, 0.239 in ascending order.\nAnswer: -210\/11, -5, -1\/4, 0.239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -55178a (base 15) in base 13?\nAnswer: -abc973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 127668877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*k = 24 + 264 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*n - 31 = 3*s, -n - 3*s = 14 - 19 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3643 + 14*u - 49*u + 3573. Give p(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 771459?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**5 - 392*n**4 + 251*n**3 + 1106*n**2 = 0. Calculate n.\nAnswer: -79, -7\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-216)*3*-2\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - (-2586)\/(-18))*(-8 - 1). Suppose -4*y + 1678 = 5*g - 3*y, 3*y - d = -4*g. Is g a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36549536 is divided by 493?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 4 - (3 - (-4 - -12))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/601412 + -144639555\/18643772. Let i = -9\/155 - j. Calculate the common denominator of 61\/10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -75*m**5\/2 + 1475595*m**4 - 415582287*m**3\/2 + 7244841090*m**2 + 5895990378*m + 1185885168 = 0. What is m?\nAnswer: -2\/5, 71, 39208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -12. Which is smaller: j or -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -12 + -10 - 1488\/(-216)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0413255748 + 0.4?\nAnswer: 0.3586744252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003045831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*a - 16*a - 141. What is the remainder when a is divided by (-185)\/(-11) + 2\/11?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(288) - (2 + 2*sqrt(288))) - (1*sqrt(162) + 3 + -3))**2*3.\nAnswer: 126*sqrt(2) + 2649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r - 31. Suppose 2*w + 2*v - 6 = 0, 0 = 5*w - v - 34 - 11. Suppose -70 = w*o - 13*o. What is the tens digit of b(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*u - 32 = 0, u = -q + 4*u. Suppose -q*i = -i - 10. Let a(m) = -15 - i*m - 10 + 24 + m. Give a(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/3)\/((-4)\/6). Suppose -u = d - s, 3*d - 4*d + 2*u = -1. Suppose -2*z + d*z = 66. What are the prime factors of z?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**5*d)\/(d\/d**(4\/13)*d))\/((d\/(d\/((d*d**14)\/d)))\/d*d\/d**(3\/22)))**(-26) assuming d is positive.\nAnswer: d**(2733\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 6*z - 3. Let j(i) = 3*i - 1. Let l(p) = 5*j(p) - 3*m(p). Calculate l(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 3 (c) -1 (d) -4 (e) 0.007\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x + 1. What is f(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z - 72. Let c be t(-32). Let l be 6\/c - ((-93)\/(-4))\/(-3). Solve -3*f = -19 + l for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7084)\/(-15939)*(-36)\/872\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35 + -10?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.88667 + 0.11333. What is the third biggest value in 85, 0.01, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2 + 5. Suppose 3*n - 1 = j - 0*n, -2*j = -5*n + 3. Let i(c) = -4*c**2 - 6. What is j*i(v) - 5*t(v)?\nAnswer: v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14144 + 2619*d + 9739*d**3 + 28287 - 14143 + 4039*d wrt d.\nAnswer: 58434*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 36 = -8*u. Suppose s - u = -3*s. Solve 0 = -5*v - 4*i - 6, i = s - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*v + 15, -w = -v - 2 + 6. What is the tens digit of w*(-1663)\/2*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 11:43 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1244 + 1244.1. Which is the closest to y? (a) -4\/7 (b) 4 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43590224 is divided by 53354.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 + -4 + -6 + 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from {u: 1, t: 1, h: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4946920785 to the nearest integer?\nAnswer: 1704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 9 (c) 1276 (d) 4 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*f**5\/5 - 249922*f**4\/5 + 1083278*f**3\/5 + 1416242*f**2 - 5415640*f - 4165800 = 0. Calculate f.\nAnswer: -41658, -5, -2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1128.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (3 - 9) - (-1 - -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010 + -100101111101011111001?\nAnswer: -100101111101011010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -47, -101, -161, -227, -299, -377, -461?\n\"Answer: -3*a**2 - 45*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3475*l + 514305. What is g(148)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 1 - (-26 + 29)) + -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20186567678 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1087 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55.8645 - 29.8671. Let z = -26 + j. Round z to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68597?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 48589541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 642*c**5*d - 5*c**4*d**2 + c**2*d + 354*c*d**2 - 20 wrt c?\nAnswer: 38520*c**2*d - 120*c*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 + 288\/40 - 74\/(-5). Suppose 5*h = 15, 2*w = w + 2*h + 10. Which is bigger: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9035008 - 9034552 = -24*c for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253 = 4*d - 147. Is d a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 5 = -0*k + i, 0 = -3*i - 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 236 (b) -42 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1506495748 * 5\nAnswer: 7532478740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 5:35 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25.5 - 9. Let c = -15 + x. Let g = 1.4992 - c. Round g to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 22*o - 2*o**2 - 7 - 2*o**2 + 7*o**2 + o**3 to the form f + i*o**2 + r*o + s*o**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 5*a + 4. Let z be y(4). Suppose z*p - 19 = 2*j + 5*p, 22 = -5*j - 4*p. Let u be j\/(-4)*12\/8. Which is smaller: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18462, -18563, -18662, -18759, -18854, -18947, -19038?\n\"Answer: j**2 - 104*j - 18359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -11*k + 8*k + 2*y, -3*y = 12. Suppose -3*u - h - 4 = 0, 9*h + 2 = 3*u + 4*h. Find the common denominator of 47\/2 and (-65)\/k + u + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m**4 - 566*m**3 - 8*m**2 + 16*m + 107 wrt m.\nAnswer: 36*m**2 - 3396*m - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 2, -4*l = 2*g - 8*l - 268. Suppose -2*c + g = 4*a - 2*a, 0 = 2*a + 3*c - 137. What is the remainder when a is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 4*u + 3*b = 3*u + 18, -35 = -7*b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27668 divided by 5?\nAnswer: 27668\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 58897996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}