diff --git "a/data/dm_maths/full_data/10000_11255.jsonl" "b/data/dm_maths/full_data/10000_11255.jsonl" deleted file mode 100644--- "a/data/dm_maths/full_data/10000_11255.jsonl" +++ /dev/null @@ -1,10000 +0,0 @@ -{"text":"Question: How many milligrams are there in 7.875552 grams?\nAnswer: 7875.552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -2838013 - -566.9.\nAnswer: -2837446.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is 155 minutes before 6:02 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 3412 - 3411.6994. Let v = -0.3 + m. What is v rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -18, -54, -12, 186, 618, 1362, 2496?\nAnswer: 4098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 4 + ((-6*3*sqrt(468) - (-3 + -2*sqrt(468))) + (1 + (sqrt(468) - (sqrt(468) - (sqrt(468) + -1))) - 1*(1 + sqrt(468))))**2.\nAnswer: -384*sqrt(13) + 119816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -1.1 (c) 4 (d) 1 (e) 12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Solve 2*y + 28 = 4*z, 0 = 3*z + 5492*y - 5491*y - 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 18 and 314216.\nAnswer: 2827944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is 1.5986 rounded to two decimal places?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 1509451362?\nAnswer: 2, 3, 659, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -2*z - 3*z + 15. Let y(a) = -2*a**3 - 2*a**2 + 17*a + 19. Let f be y(-3). Solve 3*r + 1 = h - 1, -f*h + r = z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 3, what is 2 - -1200?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from talmyayytya. What is prob of picking 2 a and 2 t?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let v(x) = -x**3 + 5*x**2 - 8*x + 1. Determine v(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let s = 75 - 73. Suppose -60 - 238 = s*a. Let p = a + 340. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -s = 650*q - 190*q + 59, 5*q - 18 + 180 = -5*s - 133 for s.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 13 + -18. Let w(b) = -9001*b + 5. Let n be w(l). Suppose 3*s = 2*f - 7482 - 22503, 3*f = -2*s + n. Round f to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 4013*m**3 - 4022*m**3 - 2*m + 2*m.\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -9 + 15. Let p = -10 - -7. What is the second biggest value in -3\/8, p, y?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence qqhh when four letters picked without replacement from {h: 2, q: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Solve -191 + 100 = -13*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-8 - 6 - 6)*(6*k**2 - 3*k**2 - 5*k**2) to the form p*k**2 + v*k + c and give p.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let h(p) = -p**3 + 5*p**2 - 3*p. Let s be h(4). Suppose -i + 208 = 5*w, -2 - s = 3*i. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 18034 - 7853. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 227635001 to the power of 1\/2, to the nearest integer?\nAnswer: 15088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Is 141925 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let q(s) = -346*s - 3 + 2 + 343*s. Let g(z) = 3*z + 1. Determine 5*g(b) + 4*q(b).\nAnswer: 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let x(b) = -9*b**3 - b**2 + b + 1. Let j(u) = -u + 5*u**3 - 6*u**3 + 0*u + 6 - 4 + 4*u**2. Let n be j(4). Is x(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*a = -3*o - 2*a - 11, 4*a + 25 = 3*o. Let n(y) = -5*y + 2. Let p be n(o). Let m be (-6)\/8*p\/(-39). Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -1596*m - 27700 = 3944*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (30 - -3) + (-104 - -84)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: 5 (base 7) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*b = -m + 9, m = 6*m + 4*b - 67. Solve -m = g + 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d(v) = -187*v + 22661. Let q be d(116). Calculate the greatest common factor of q and 3021.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 2869, 2942, 3065, 3238, 3461?\nAnswer: 3734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: How many seconds are there in 18\/5 of a hour?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Put -2\/19, -2\/491, -2 in descending order.\nAnswer: -2\/491, -2\/19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let i be ((-5)\/15)\/((-3)\/36). Suppose 0*p - 6 = -i*a - p, 5*p - 13 = -3*a. Let r(f) = 7*f**2 + f. List the prime factors of r(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 2 - 5 - 2*w + w**3 + 0*w**3 + 0*w**3 to the form j + b*w**3 + v*w + l*w**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 0.02? (a) 13 (b) -0.8 (c) 0.079 (d) 2 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let j(a) = 6*a - 3*a + a**3 - 2*a**2 + 0*a. Let r be j(4). Suppose 0 = b + 5*u - 18 - 18, 3*b - u = r. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-11 + 5 - 5) + 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let v(u) = -4*u**2 - 3*u + 1. Give v(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -3.8 + 1.8. Let g = -18 + w. Let x = -19.89 - g. Round x to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express 108 - 108 - 233*z**2 in the form n + j*z + s*z**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 36 + 4*m - 2*m + 0*m - 149.\nAnswer: 2*m - 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let z = 226 - 1703. Let x = z - -2148. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from dqqqqtddtqdtqwaq. Give prob of picking 1 q and 1 w.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is 252\/(-6104)*(-112)\/(-252)?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 41889111 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let i = -5.8 - -6. Let j = -9.1 + 12.8. Let y = j - 0.7. Which is the biggest value? (a) y (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((j**(4\/7)*j**(-10\/13))\/(j**(-14)*j*j**(3\/7)\/j))**(-16) assuming j is positive.\nAnswer: j**(-19472\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 192794 and 221746.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let w(s) = -3*s**3 + 23*s**2 + 10*s - 13. Let b be w(8). Suppose -p + 324 = b*p. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 2*(sqrt(117) + 1)**2.\nAnswer: 12*sqrt(13) + 236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let g be ((-6)\/2)\/(13\/((-130)\/15)). Suppose 0 = 4*m - 2*l - 0*l - 714, -2*l = g*m - 366. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 9472, 9427, 9376, 9319, 9256?\nAnswer: 9187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose j + 7 = 3*l, -4*j = 3*l + 2 + 11. What is the tens digit of 70 - (6 + j)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(j) be the second derivative of -j**3\/2 - 2*j + 24. Let u(i) = 8*i - 6*i + 5*i. Determine -5*m(v) - 2*u(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 12029 and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(5) - (sqrt(5) + -2))**2 + 5 + -5*sqrt(80).\nAnswer: -20*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -19\/348 and (2*(-10)\/3480)\/((-1)\/(9\/(-33))).\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the lowest common multiple of 1246145 and 950?\nAnswer: 236767550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 4*i - 8*i + 5*m - 27, -4*i = -4*m + 24 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let z(u) = -56*u**2. Let q(g) = -17*g**2 - 13*g - 52. Let p(n) = 4*n**2 + 3*n + 12. Let t(v) = 26*p(v) + 6*q(v). What is z(t(j))?\nAnswer: -224*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Is 1046712709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Is 19563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let m(z) = 5*z**2 + 406*z + 3200. Give m(-8).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let x(j) = 7*j**2 + 284*j + 270. What is the units digit of x(-52)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 199, 262, 325, 388, 451?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Is 1708609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((n*n*n**6)\/n*n**(-6)*n*(n**(6\/7)\/n)\/(n*n**7*n))**(-5\/7) assuming n is positive.\nAnswer: n**(250\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*m + 8 = 16. Solve 5*p - g - 3 = 3*p, m*g + 12 = 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second smallest value? (a) 5\/8 (b) 194 (c) 1 (d) -2\/15 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Find h, given that 3*h**5 + 54*h**4 - 117*h**3 - 4056*h**2 = 0.\nAnswer: -13, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth smallest value in -3, -2, -184, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 0*q**3 - 91*q**2 + 332*q**2 - 3*q**3 - 158*q**2 - 83*q**2.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let b(f) = -f**3 + 2*f**2 - f + 2. Let l(o) = 40*o**3 + 6*o**2 - 4*o + 6. Let i(j) = 4*b(j) - l(j). What is the third derivative of i(a) wrt a?\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(k) = -2*k - 18. What is o(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let f be 56\/21*3\/2. Let y = 0 + 1. Suppose -3*w = 5 + 4. Sort w, f, y in decreasing order.\nAnswer: f, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of ((-45)\/160*4)\/(((-64680)\/(-224))\/55)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 b and 1 x when two letters picked without replacement from ppxprpprbtpxwxxxp?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 1617\/9959 + 5\/433. Find v such that -2\/23*v**3 + m*v**2 + 0 - 2\/23*v = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -63255*b**2 + b + 4925 wrt b.\nAnswer: -126510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 25407341, 50814685, 76222017, 101629331, 127036621, 152443881, 177851105, 203258287?\nAnswer: 228665421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 7:38 AM and 3:49 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is (-2 - -4) + (9 - 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: In base 5, what is 4 + -443?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 25546 is divided by 122?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is 3182.3 rounded to the nearest ten?\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let s = 40 + -33. What is the common denominator of -73\/32 and s\/2*(-45)\/(-42)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 504.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 71\/56136 and -121\/24.\nAnswer: 56136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -84 + 10 - (40 - (-38 + 66))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let y(c) = 13*c**2 + c - 2. What is the least common multiple of y(1) and (-4)\/(-6)*21\/1?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 32340 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 26 = 4*z + 6. Let o = 88 - 23. Calculate the greatest common divisor of o and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sum -4 and 44.3.\nAnswer: 40.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of ((-52 - -1)*15\/60)\/27 and -41\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 27, 13, -11, -45, -89?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 85 - 84. Let j(s) = -s + 1. Give j(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -3*y + 5*y - 264. Let v be 172\/(-602) + (-466)\/(-14). What is the highest common factor of v and y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the qth term of -2614, -2729, -2844, -2959, -3074, -3189?\n\"Answer: -115*q - 2499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Work out -7.9 * -4192.\nAnswer: 33116.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Simplify s**(-1\/5)*s**(-1\/6)*(s\/(s*s**(-3)*s))\/(s\/(s\/(s**(-4)\/s)*s))*(s**(3\/10)*s*s**1)**(2\/25) assuming s is positive.\nAnswer: s**(5863\/750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of 89\/6734 and -67\/6647494?\nAnswer: 86417422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -10*z**5 + 11*z**4 + 198*z wrt z?\nAnswer: -200*z**3 + 132*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the lowest common multiple of 8 and -30*(1 - (-21)\/(-15))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) 3 (c) -0.18 (d) -4 (e) -185\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 q and 1 i when two letters picked without replacement from {u: 1, j: 1, q: 3, e: 1, i: 3, n: 2}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is 51589.32 months in centuries?\nAnswer: 42.9911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -8 - 4 = -4*y. Suppose -y*g = 2*g + 20. Calculate the remainder when 2 is divided by 3\/(-2)*g\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 1797570\/91 less than 19754?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (0 + (3 + sqrt(1900) + sqrt(1900) + sqrt(1900) - sqrt(114)\/sqrt(6)*-6))**2 - ((-4*sqrt(608) + sqrt(38))\/(sqrt(72) - -1*sqrt(72)))**2.\nAnswer: 216*sqrt(19) + 393653\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 3726 and 5009229?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 9:21 PM and 8:37 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 386 + i**2 - 166*i**3 - 386.\nAnswer: -166*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Is (-850)\/(-4) - 6\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from ynqcxncq. Give prob of picking 1 x, 2 c, and 1 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: In base 4, what is -13000102 - -2120?\nAnswer: -12331322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let d(b) = -8*b**3 + 4*b - 29. Let c(v) be the first derivative of -9*v**4\/4 + 3*v**2\/2 - 28*v - 15. Let i(s) = -4*c(s) + 3*d(s). Differentiate i(r) wrt r.\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 368\/276*(-78)\/8.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of 16977 and 28262?\nAnswer: 479803974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let c = -188 - -191. Let u = 8 + -7. Sort 21, u, c, 4.\nAnswer: u, c, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 2 + 2. Suppose -18 - 14 = -k*n. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert 10011110111010000100000 (base 2) to base 9.\nAnswer: 10715675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 352878 - 352878 + 3*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is 33\/5 of a kilogram in grams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let j = -21 - -31. What is the remainder when 14 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 9 = -5*r - 2*n, 2*r + 2*n + 3*n = 9. Let q be 1 + r + -1 + 5. Solve 5 = 2*p + 5*k, -q*k = k - 9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(t) = -t**3 + 5*t**2 + 7. Let y be c(5). Suppose -4*g + 5*g - 24 = 0. Let z = g - y. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -18328650 divided by -426?\nAnswer: 43025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is -195440000 rounded to the nearest 1000000?\nAnswer: -195000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*s + 27 - 32 = -3*r + 31, 0 = -r - s + 11 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 706 is divided by 79?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Sort -6, 5\/2, 0.06.\nAnswer: -6, 0.06, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Product of 59698142 and 2.\nAnswer: 119396284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -0.5 - 4.5. Let t = 5.1 + y. Let k be 15\/(-25) - (-2)\/10. Which is smaller: t or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(t) = 210*t**3 - 5*t**2 + 10*t - 5. Let a(z) = -12599*z**3 + 301*z**2 - 602*z + 301. Determine 5*a(h) + 301*j(h).\nAnswer: 215*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 151.7 - 153. Let d = h - -1.4. Which is greater: d or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t be (297\/(-132))\/(6\/(-8)). Suppose -6 + 34 = 2*s. Let w be 2\/6 - (s\/(-3) + t). Which is the smallest value? (a) -9 (b) 1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: -98 divided by 20957\nAnswer: -98\/20957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth smallest value in -18, -13, -0.5, 16, 26?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 3:17 AM and 5:20 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*t = -18 - 2, 0 = -3*y + 5*t - 131. Let v = -26 - y. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 12383?\nAnswer: 7, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 1 - 1 - 6 - 13*a**2 + 8 - 2.\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let k(m) = -339*m. Let c(g) = 21*g**2 + 307*g + 1. What is k(c(v))?\nAnswer: -7119*v**2 - 104073*v - 339","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is (-54 - (9 + -7 - 5 - -4)) + 2 + 2?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Sort -33, -1, 0, 4, -614.\nAnswer: -614, -33, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Solve 1304*u + 438343 = -3215*u for u.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let t = -74 - -103. Suppose 2*g + 3*g = -2*q + t, 4*q = -2*g + 18. Find the third derivative of -v**g - 2*v**5 - v**2 - 3*v**2 wrt v.\nAnswer: -180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j be (-3)\/(-5)*72\/135*45\/(-36). Which is the third smallest value? (a) -0.11 (b) j (c) 0 (d) 4 (e) 17\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((j**(1\/13)\/(((j*((j\/((j*j*(j**11*j)\/j)\/j))\/j)\/j)\/j*j)\/j))\/((j\/(j**(-4)*j))\/j*j**(1\/6)))**22)**(-16\/7) assuming j is positive.\nAnswer: j**(-136048\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 x and 1 j when two letters picked without replacement from {d: 1, j: 1, x: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let a(u) = -46*u**3 - 8*u**2 - 7*u - 38. Is a(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x be (-4)\/6 + (-14)\/(-3). Suppose -2*z + 5*v = -35, -4*z + 2 = -v - 23. Let o = -6 + 6. Solve -z = x*l - k, 3*l + 2*k + 3*k - 25 = o for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -v + 2*v = 4. Let z = -2 + 1.6. Let k = z + 0.4. What is the closest to k in -1\/2, v, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (50\/11550*77)\/(2\/(-468))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(r) = 68*r - 2. Let w be y(1). Suppose w = -2*b + 5*b. Let z be (-3)\/(-6) - 69311\/b. What is z rounded to the nearest 100?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*n + 5*x + 20 = 0, 9*n + 2*x + 87 = 79 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let k(n) = 26*n**2 - 13. Let m(a) = 17*a**2 - 9. Suppose 5*o + 2*c = -29, 4*o - 4*c - 23 = 9*o. Give o*m(d) + 5*k(d).\nAnswer: 11*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.0000019121 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: -8 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let p(j) = 20*j**3 - 17*j**2 + 17. Let r(y) = -7*y**3 + 6*y**2 - 6. Let d(x) = -x**2 + x. Let w be d(0). Suppose w = 5*g - 51 + 136. Calculate g*r(u) - 6*p(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let x(m) = m**2 + m - 3. Suppose -a + 20 = 3*a. Let u be x(a). Find the second derivative of 7*t + 27 - u - 7*t**4 wrt t.\nAnswer: -84*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k be -3 - -2 - -11 - 0. Let c = -7100 + 170369\/24. Calculate the common denominator of c and ((-1)\/k)\/((-2)\/(-74)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 362649 = 4908*g + 4057*g - 2352*g - 219295 for g.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Expand 4*m**3 - 5*m**2 + 5*m**2 + (0*m + 0*m + 3*m)*(-2*m**2 + 0 + 0) + m**3 - 2*m + 2*m.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*i = -5*o + 31 + 44, -i - 45 = -3*o. Suppose 4*r + 10*m = o*m + 30, 0 = -3*r + m + 17. Solve 8*p = r*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i be (311\/4)\/(-10 - 1). Let m = -20\/11 - i. Let h = -5 + m. Which is the biggest value? (a) 4 (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (2*w - w + 0*w)*(-3*w - 2*w + 3*w)*(-3*w + 2*w + 3*w) - 2*w**3 + 2*w**3 + 2*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Sort -1, 436, 1\/186, 0, 0.02.\nAnswer: -1, 0, 1\/186, 0.02, 436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 213523.\nAnswer: 213523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 6432392 is divided by 2658.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of -18.413 and 4?\nAnswer: -73.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is 51 + -3875687.557?\nAnswer: -3875636.557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*m + 19 = 3*q, -4545 = -5*m + 2*q - 4583 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -614 - -617. Let i be 0*(p + (-50)\/15). Solve t = -s - i*s + 2, -4*s = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t(r) be the first derivative of r**2\/2 + 5*r - 2. Let w be t(4). Suppose -14260 = -27*x - 14098. Solve x = 2*o - 2*l, 3*l - 2 = -o + w for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(t) be the second derivative of 0*t**3 - 3*t + 0*t**2 + 1\/6*t**4 + 0. Let q(z) = 2*z. Determine q(u(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Put together -4764 and -0.03.\nAnswer: -4764.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Sort -21, -4, 199, -5.\nAnswer: -21, -5, -4, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -23\/44 - -3\/11. Sort q, -0.4, 1.2, 1 in decreasing order.\nAnswer: 1.2, 1, q, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.0001476160289 to 6 dps.\nAnswer: 0.000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 0.6 - 0.576. Let d = 0.506 + i. Let w = d + -0.13. Which is the second biggest value? (a) 2\/3 (b) w (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (3 - -1) + (-4 - (2 + 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let s(f) = 17*f - 44. Let m(i) = -i - 3. What is 2*m(c) - s(c)?\nAnswer: -19*c + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (1*sqrt(363) + sqrt(363) + ((sqrt(3) + 0)*5 - sqrt(3)))**2 - (-2 + sqrt(1296)\/sqrt(12)).\nAnswer: -6*sqrt(3) + 2030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Determine r, given that 23*r**5 + 1563*r**4 + 185*r**4 - 2452*r**2 + 981*r + 704 - 19*r**3 + 83*r - 3*r**5 - 1065*r**3 = 0.\nAnswer: -88, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 57\/14 and 109\/340.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Work out 1080491254 - -166.\nAnswer: 1080491420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of 0.083 and 10944?\nAnswer: 908.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Is 217 a factor of 5165251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Put 4, 2, 1, -3, -3563, -1 in decreasing order.\nAnswer: 4, 2, 1, -1, -3, -3563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4040*b = 64555 + 88965 for b.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Express -2*y + 2*y + y + (1 + 1 - 3)*(13*y - 74 + 74) in the form s*y + x and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let d(r) = 18*r - 1090. Calculate d(64).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Solve -37*q = -42*q - 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence xal when three letters picked without replacement from tsxltxsssa?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Is 545663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-10 - 16 + 11)*(-3 + 3 - 2*l) + 0*l - 7*l + 2*l.\nAnswer: 25*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*f - 140 = -8*f. Suppose -3*t = 56 - 434. What is the greatest common divisor of t and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many months are there in seven halves of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let a(l) = l**2. Let z = 2 - -2. Let q(o) = 0 - 7*o + z - 4. Give a(q(m)).\nAnswer: 49*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let q(z) be the third derivative of 1\/12*z**5 - 5\/24*z**4 - 5\/6*z**3 + 0*z + 1\/24*z**6 + 0 + 8*z**2. Find m, given that q(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*l - c = -4, 2*l - 18 = 4*c + 8. Solve -2*n + 3*n + 4 = l*j, 0 = 3*n + 2*j - 21 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (f**12)**(13\/2)*(f*f*(f\/(f\/(f*f*f**8))*f)\/f)\/(f\/f**6) assuming f is positive.\nAnswer: f**95","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: -3*308789\nAnswer: -926367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let m(c) = 42*c. Let d(w) = w. Let n(v) = 7*v - 5. Let r(h) = 6*h - 4. Let z(u) = -4*n(u) + 5*r(u). Let x(o) = -4*d(o) + z(o). What is x(m(b))?\nAnswer: -84*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 104 and 14456?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 n, 1 e, 1 k, and 1 y when four letters picked without replacement from kknnkkyye.\nAnswer: 8\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*u = 2*v - 11, -4*v - 38 - 17 = -5*u. Let m = u - 4. Find the third derivative of -8 + 8 - m*y**5 - y**2 wrt y.\nAnswer: -180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 11600 and 2141900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let z be (-8)\/6*15\/(-10). Suppose -50 = -4*v - z. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from qxwqkqqqwqffxwxtqq. Give prob of sequence kwt.\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let w(v) be the first derivative of 3 - 1\/4*v**4 + 5\/2*v**2 + 8\/3*v**3 + 9*v. Is w(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 6, what is 3 + -1543544?\nAnswer: -1543541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -0.184 + 0.084. Which is the fourth biggest value? (a) 0.5 (b) -4 (c) -0.5 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) 4\/9 (c) 25 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let p(x) be the third derivative of -1\/4*x**3 + 1\/40*x**5 + 0 + 1\/240*x**6 + 0*x - 16*x**2 - 1\/48*x**4. Suppose p(m) = 0. What is m?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o be 20\/(-18)*(-235)\/(-360). Let n = 2\/81 - o. Which is the third smallest value? (a) -1 (b) n (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 1010, 1016, 1024, 1034, 1046?\nAnswer: 1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (18 - 26) + -2 + 4 + (31 - 3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: -36 - (26 + (-62 - (-13 + -19)))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*x - 24 = -2*w, -17 = -4*w - 2*x - 1. Suppose -f = w*f - 36. Let j(t) = -t - 3*t + f*t + 5 + 3*t + t**2. Calculate j(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 28 - 23. Solve 5*x = 20, -y*t + x - 3 = -4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 302 minutes after 7:58 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -2\/9 in -20, -1\/10, -45, 0.02?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 6*j**2 - 3*j**2 - 3*j**2 + 319*j**3.\nAnswer: 319*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 9:05 PM and 4:44 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: How many months are there in 7\/4 of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 41 = 2*k - 31. Let s be (-4 - -1)\/(k\/(-48)) - -1. Let m(w) = -3*w + 4. Let n(h) = 2*h - 2. Give s*n(c) + 3*m(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let p(i) = 31*i**3 + 3*i**2. Let w(k) = -33*k**3 - 3*k**2. Give -6*p(l) - 5*w(l).\nAnswer: -21*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let d(t) = -t**2 + 9*t + 8. Let s be d(8). Suppose -3*v + 2*a + s = 0, 0*v + 5*a = 5*v - 30. Let r(f) = f**2 + 4. Is r(v) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(k) be the third derivative of k**7\/210 - 11*k**6\/90 + k**5\/3 - 145*k**3\/6 - 131*k**2. Let m(z) be the first derivative of u(z). Factor m(h).\nAnswer: 4*h*(h - 10)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 3324618 not equal to 3324620?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Is 5 a factor of 1520985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Is 14871478499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let q(b) be the first derivative of -3*b**2 + b - 6. Suppose -1 + 0 = -y. Let r(i) = i. Calculate y*q(o) + 4*r(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of 846 and 846?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Is 43873092145 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*z - 26 = 4*w, -5*w + 3*w - 2*z = 10. What are the prime factors of (-14 - -6 - w) + 640?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the mth term of 16166, 32313, 48438, 64535, 80598, 96621, 112598, 128523?\n\"Answer: -m**3 - 5*m**2 + 16169*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 66\/49 - -309\/98. What is the closest to l in 4, 2\/3, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -x + 5*x - 1172. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 1051*k**3 - 2483*k + 2483*k - 4*k**2.\nAnswer: 1051*k**3 - 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 109 = -2*h + 381. Suppose 31 = -5*q + h. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -99\/1160 and 99\/29000?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 3 divided by 201695.\nAnswer: 3\/201695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((q**(-2\/25)\/q)**(-21)\/(q**(-3\/8))**(11\/2))**(5\/9) assuming q is positive.\nAnswer: q**(3299\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: In base 10, what is 12 + -11187?\nAnswer: -11175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the fifth biggest value in -6, 1, 5, -3, 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Is 2865390 a multiple of 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((b*b**(-2\/19)\/b)**38\/((b**(3\/8)\/b)\/(b*b\/(b\/(b\/(b*b\/b**(-5))))*b)))**47 assuming b is positive.\nAnswer: b**(-2773\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 24597?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the lowest common multiple of 1052000 and 5141650.\nAnswer: 411332000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 1 - 3*s + 10*s**2 - 10*s**2 - 146*s**3 + 62*s**3 + 75*s**3 to the form d + j*s + y*s**3 + r*s**2 and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {d: 9, p: 6, z: 4}. Give prob of sequence zppz.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let x(r) = -r + 1. Let j(a) = 2*a**2 - 1. Give -j(y) - 2*x(y).\nAnswer: -2*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -0.1? (a) 2 (b) -0.1 (c) -1\/4 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Is 2 at least 118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -16395.83 - -16725. Let j = 347.8 - p. Let u = j + -19. Round u to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t = -92 + 58. Let h = t - -50. Let m = -9 + h. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 8*f - 14*f + 13536. Suppose 11*y + f = 19*y. List the prime factors of y.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from rrzmrmzm?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 6366659?\nAnswer: 13, 489743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -2*c + 5 + 9. Let h(u) = -1. Let k(j) = -j + 1. Let w(q) = -6*h(q) + k(q). Let l be w(c). Solve 0 = -l*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Product of -849 and 48.\nAnswer: -40752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -1 + 3. Let n be (h - 0)*(-2 + 1). Let q = 0.975 + -0.675. What is the biggest value in q, n, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p(l) = 7*l**3 - 194*l**2 - 28*l. Let x(a) = -a**3 - a**2 - a. Let g(y) = -p(y) - 4*x(y). Find the second derivative of g(h) wrt h.\nAnswer: -18*h + 396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in q**2 - 14*q**2 - 12979 + 12979.\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let z(f) = 2*f**2 - 9*f + 1. Let s be z(5). Find the third derivative of s*a**6 + 18 - 18 + 4*a**2 wrt a.\nAnswer: 720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 18\/18*(-2)\/10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 3:04 AM and 5:56 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let n(y) = 3*y + 12 - 3*y - y + 0*y. Let w be n(6). Let b be (-4)\/(-6)*(-10)\/w. Which is smaller: -2 or b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the vth term of -2175502, -2175586, -2175670, -2175754?\n\"Answer: -84*v - 2175418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let t be 4 + (-3 - 4) + 6. Suppose 3*q - 86 = -4*f, f + t*f = 4*q - 68. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -0.5 - -1.25. Let k = -0.69 - -0.44. Let o = q + k. Which is the second biggest value? (a) 7 (b) -1\/8 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*d + 3*d = 4*h + 7, -3*h = 5*d - 31. Suppose r + 1332 = d*r. Let x = 580 - r. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 7*x + 17*x - 973*x**2 - 67 - 217*x**2 - 36*x + 10*x wrt x.\nAnswer: -2380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.4137309 litres in millilitres?\nAnswer: 413.7309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 1340979.\nAnswer: 3, 197, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((t**4)**(-21))**(-3\/14) assuming t is positive.\nAnswer: t**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -1554*f - 1007*f - 3581*f to q*f + m and give q.\nAnswer: -6142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*s + 16 = -4*k, 3*k - 8 = -s - k. Let b be 2\/4 + 74\/s. Let p = 194 + -99. Calculate the highest common divisor of b and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -10 (base 8) in base 14?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is 325 minutes before 3:22 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let f(v) be the third derivative of v**5\/60 + v**4\/24 + v**3\/6 + 538*v**2. Let z(b) = -2*b**2 + b. Let w be z(-1). What is f(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {m: 3, a: 3}. What is prob of sequence maa?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 0.6 + -0.265. Let i = o - 0.235. Which is the fourth biggest value? (a) -4 (b) -7 (c) -4\/3 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express -8574*h**2 - 2*h - 1135*h**2 + 47 - 79 + 32 as n*h + o*h**2 + b and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from gqggqqqsq. Give prob of sequence qgq.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let b(w) = 196*w + 4. Let a = 4 + 2. Let h be b(a). What is h rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 254 + -251.5. What is the nearest to -2\/5 in -4, -2, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is -9921.87 greater than or equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Is 4042463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -140*s - 1 + 1.\nAnswer: -140*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 10011598 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is 173703 to the power of 1\/2, to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((n\/n**3)\/n**(1\/9))\/(n*n**(-2)*n**7)*(n**(-2\/5))**9\/(n**(-1\/5)\/n**(3\/8)) assuming n is positive.\nAnswer: n**(-4009\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Does 12 divide 984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: How many grams are there in twenty-nine fifths of a kilogram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Is 5600 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -40753\/34 + 2397\/2. Let s = -38\/17 - -308\/153. Which is the closest to 0? (a) s (b) -26 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 2*m - 0 + 4. Let i be 10\/(m + (-36)\/(-16)). Calculate the greatest common divisor of 100 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose s - 4 = -1. Suppose 0*v = v - s. Let i(w) = 3*w + 1. What is the tens digit of i(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -388 - -385.95. Let v = -2 - r. Let f = 11\/14 + -2\/7. Which is greater: f or v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 215241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 17 + -28 + -23 - -28.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of 5*s**3 + 7005*s - 7005*s - 36 wrt s?\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (2\/(-9))\/(-463 - -464)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -2 in 3, 983, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 2\/7 in 61\/6, -8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Is 55546675441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*q + 2*q = 15. Suppose -q*z - 2*h = 4 - 18, 0 = -2*h + 2. Suppose 277 = 5*w - z*a, -w - 2*a = 15 - 76. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 3857413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -5*s - 2*t - 65, 3*t = -2*s + t - 32. Let b = s + 23. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m be 12\/(-8)*78\/(-9). Let x(z) = m - 10 - z - 15. Calculate x(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c = -552423\/26 - -21251. Find the common denominator of c and 285\/(-12) - 2*(-6)\/24*7.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is -1 at least as big as -10.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -4*p - 5*d + 19, -8*p + 0*p - 15 = -11*p - 4*d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of 6081 and 378?\nAnswer: 766206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -1 in 1\/4, 0.3, 0.003, -1, -0.11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*p - 16 = -3*p. Calculate the smallest common multiple of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z be (-43)\/(-4) - (5 - (-63)\/(-12)). Suppose -12*c = -z - 109. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*l**2 - 27957*l - 223464 = 0. Calculate l.\nAnswer: -9311, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the pth term of -26605659, -53211323, -79816987, -106422651, -133028315, -159633979?\n\"Answer: -26605664*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (0 + sqrt(7)*-2*-2 + sqrt(7))**2 + (-4 + sqrt(70)\/sqrt(160))**2.\nAnswer: -2*sqrt(7) + 3063\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of -1595*o**2 + 684 + 615 - 1182 wrt o.\nAnswer: -3190*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 880 - 887 - (-3 + 0 - (14 - (-1 + 1))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Round 364 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 730884 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let g(j) = j. Let o be 11\/(110\/75)*8\/10. Suppose 0 = 10*p - 13*p + o. Let a be g(p). Solve -r - a = 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 10, what is 32694 - -27?\nAnswer: 32721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Does 711 divide 40989861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -0.2 in 0.05, 3, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Convert 2 (base 3) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (2*f**3 + 2*f**2 - 2*f**2)*(7147*f + 7602*f - 28215*f) to the form o*f**2 + n*f**4 + j*f + t + u*f**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let a(b) = -9*b - 4. Let y(w) = -8*w - 4. Let x(g) = 4*a(g) - 5*y(g). List the prime factors of x(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 6:12 AM and 11:16 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the third smallest value in -3\/2, -0.103, 2\/3, 1\/6, 0.37, 0.5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Does 703 divide 368561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 105\/(-63)*66\/(-35)*(-28)\/(-32)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let z(b) = -17*b - 222. Let l be z(-25). What is the greatest common factor of 174 and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(w) = w - 3. Let c be m(4). Let a be -10 - (-3 + (0 - c)). What is the units digit of (-194)\/a + 19\/(-57)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 236 minutes after 6:03 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -1440*v + 1386*v + 0 - 77*v**5 + 0 wrt v?\nAnswer: -1540*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*c = -12, -c = -q - 4 + 1. Let s be q - (-2)\/(-3)*-6. Find the second derivative of 4*w**4 + w**5 - 4*w**s + 2*w wrt w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round -57957740 to the nearest 100000.\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -108 + 111. Is (978\/10)\/k*55 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 5:01 AM and 1:01 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 9*r - 63 = -0*r. Suppose r*u = 3 + 32. Suppose 187 = 3*n + z, u*n - 168 - 127 = -5*z. Calculate the highest common factor of n and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (d + 3 - 3 + (-4*d - d + 3*d)*(3 + 3 + 2))*(0 - 3 + 2) to the form u*d + p and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let y(v) = -52*v**3 - v. Let i be y(1). Let l = 55 + i. Suppose 669 = -r + l*r. Is r 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 114730204 to the nearest integer?\nAnswer: 10711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 8623 is divided by 8614.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 5945484 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -40*r**5 + 29304*r**4 + 279238*r**3 - 182476*r**2 - 41592*r + 29680 = 0. What is r?\nAnswer: -10, -2\/5, 1\/2, 742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 125365258.\nAnswer: 2, 79, 317, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 1046026?\nAnswer: 2, 19, 27527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*d - 19 = -5*n + 77, 0 = -2*d - n + 71. Let r(f) = f**2 - 8*f - 5. Let g be r(9). Solve 1 = -q - 3*w + 5, 5*q + d = g*w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(y) = 2*y. Let q(u) be the third derivative of 0*u + 0 + 0*u**4 + 0*u**3 + 7\/60*u**5 + 9*u**2. What is q(l(r))?\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let p be -5 + (21 - (17 - 10)). Solve -44 = p*r - 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} -{"text":"Question: Is 75596 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let y(n) = 14*n - 37. Calculate y(-5).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 44 - 35. Find the third derivative of 150*n**4 + 2*n**2 - a*n**5 - 150*n**4 wrt n.\nAnswer: -540*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 2281 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -2 in -0.5, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Convert -104 (base 5) to base 11.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 9*k - 4*k - 17 = -2*s, -2*k - 3*s - 2 = 0. Let n(d) = -d**3 - 7*d**2 - 7*d - 4. Let b be n(-6). Let l = b + -2. Solve l*o - k*o - 5 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(k) = -k + 7. Let x(l) = 3*l - 25. Let i be x(10). Let a be j(i). Suppose -y - 1 = 0, -a*d - 2*y + 74 = 2*d. What is the remainder when d is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(h) = 2*h**3 - h - 1. Let n(v) = -8*v - 4*v**3 + 136 + 13*v + 12*v**3 - 69*v**3. Let i(t) = n(t) + 5*x(t). What is the first derivative of i(c) wrt c?\nAnswer: -153*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (m*m**(-2\/3)*m**(-4\/7))**(2\/23) assuming m is positive.\nAnswer: m**(-10\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let f(s) = s**3 + 7*s**2 - 5*s + 1. Calculate f(-7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let x(p) be the second derivative of -3*p**5\/140 + 3*p**3\/14 + 3*p**2\/7 + 12*p. Factor x(l).\nAnswer: -3*(l - 2)*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 695 minutes after 9:16 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} -{"text":"Question: Which is the fourth biggest value? (a) -3\/8 (b) 2 (c) 0.4 (d) -35 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 19 + -10. Let v be (q\/(-18))\/((-1)\/(-2)). Is 0 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 11:47 AM and 4:51 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -3 + 2 - i + 2.\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 11.1*0.0327471.\nAnswer: 0.36349281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence vvm when three letters picked without replacement from mvvv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is 265 minutes after 10:46 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -2*w + 4*m + 328, -1 + 9 = -2*m. Suppose 0 = -4*z + 10*z + w. What is z rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -218 divided by 268?\nAnswer: -109\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is -3986.11 less than 143.17?\nAnswer: 4129.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let k(g) = -7*g - 5*g - 7 - 4*g + 10*g. What is k(-5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-6)\/99 + (-20)\/(-8580)*26?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: -0.029 * 35.5\nAnswer: -1.0295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let u(b) be the second derivative of 1\/3*b**4 + 0 - 1\/2*b**2 - 2*b - 1\/6*b**3. Calculate u(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 217647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is -6*(-18)\/27*(-3)\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((b\/(((((b\/b**(1\/12))\/b)\/b)\/b*b)\/b))\/b**(-8))\/((b\/b**(3\/2))\/b)**(5\/3) assuming b is positive.\nAnswer: b**(163\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Factor -67869*p**2 - 7669194*p + 339.\nAnswer: -3*(p + 113)*(22623*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -11*a - 8 - 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Factor -m**4 + 27*m**3 + 119*m**2 + 153*m + 62.\nAnswer: -(m - 31)*(m + 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (6*(-3 + (sqrt(52) - sqrt(156)\/sqrt(3))\/sqrt(4)*1 + sqrt(78)\/(sqrt(30)\/sqrt(5)*-1) + -1))**2 + 5.\nAnswer: 288*sqrt(13) + 1049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Subtract -5448 from 51149.\nAnswer: 56597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Solve -o + 442 = 434 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let x(j) = -1441*j + 14430. Calculate x(10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: How many milligrams are there in 917936.2 kilograms?\nAnswer: 917936200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*u + 4*m - 6 = -154, 0 = -4*u + 3*m + 188. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -0.06? (a) -1\/11 (b) -8 (c) -0.1 (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is 53487 (base 9) in base 4?\nAnswer: 20221003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -3 in -4, -2\/21, 3.9522?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Sort 624, -9, 4.\nAnswer: -9, 4, 624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: ((-18)\/(-2))\/(12*(-10)\/120)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 81 - 79. Calculate the least common multiple of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is i in -2*i**5\/9 + 10*i**4\/9 + 2*i**3\/9 - 34*i**2\/9 - 8*i\/3 = 0?\nAnswer: -1, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred thousands digit of 1589855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 4*s + y + 1, -14*s = -12*s - 3*y - 17 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Convert 22.04835 decades to centuries.\nAnswer: 2.204835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let o = -16 + 94. Suppose v - 2 - 12 = -c, -5*c - v = -o. Calculate the remainder when c is divided by 1\/((-3)\/27)*(-20)\/30.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -21*k + 18*k + 42. Is 5*45 + k\/(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -610 (base 9) in base 5?\nAnswer: -3440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 15*i**3 + 1452*i**2 + 35712*i + 27648 = 0. What is i?\nAnswer: -48, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let i(t) = t**2 - 19*t - 28. Let l be i(23). Calculate the greatest common factor of l and 1728.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 11.9 times 0.035?\nAnswer: 0.4165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Put 0.5, -1\/4, 13, 0.05, -5 in increasing order.\nAnswer: -5, -1\/4, 0.05, 0.5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Factor 3*f**2 + 30972*f - 92943.\nAnswer: 3*(f - 3)*(f + 10327)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let o be (-4)\/(-14) + 600\/56. Calculate the highest common factor of 33 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m = -0.31 - -0.31. Sort 0.3, m, 1\/4.\nAnswer: m, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 23 a factor of 24024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*f + 2*z + 110 = -2*f, -f = 2*z - 46. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 1825093018 to the power of 1\/2, to the nearest integer?\nAnswer: 42721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {v: 2, z: 1, e: 2, n: 1}. Give prob of sequence ve.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Solve 15 = 319957*s - 319954*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 5*y + 3*z - 30, 2*y + 3*z - 26 = -5. Suppose -2*j + 7 = -3*i - 4, y*j + 2*i - 10 = 0. Solve 4*g + j = 4*m, 4*m + 4*g + 6 = -6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 5271 - 81*o - 2607 - 2664.\nAnswer: -81*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let u(k) = -3*k**2. Let i(j) be the third derivative of -j**5\/60 - 8*j**2. Determine u(i(d)).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let p(h) = 3*h**2 + 3*h - 14499996. Let i(d) = 4*d**2 + 3*d - 14499995. Let q(n) = -4*i(n) + 5*p(n). Let k be q(0). Round k to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: 7 - (-19 - (-25 - -22)) - 8\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 33 + 7. Is 20 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 526 minutes before 9:42 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -193 = -12*u + 191. Calculate the least common multiple of u and 18.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(17) - (0 + sqrt(17) + 0)) + -1)*-2 + -3 + sqrt(34)\/sqrt(2)*-4 + (sqrt(136)\/sqrt(4))\/sqrt(2).\nAnswer: -3*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the uth term of 367, 3214, 6049, 8872?\n\"Answer: -6*u**2 + 2865*u - 2492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 201014 is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Convert 3031315 (base 6) to base 11.\nAnswer: 99373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 582214.\nAnswer: 2, 291107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*x + v = x - 4, 2*x + 4*v + 16 = 0. Solve -3*w = 2*b + 3, x - 6 = 2*b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 9088*r**2 + 1278*r**2 + 6*r + 31*r - 37*r.\nAnswer: 10366*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is 2 minutes after 10:05 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is 279 minutes after 2:39 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*k + 3*c - 371 - 510 = 0, 5*k + c = 2170. Suppose 3*u = 5*i - 2180, -5*u + 31 = i - k. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*o + 5*q - 62 = 0, -3*o = -0*o - q + 58. Let p = 21 + o. Suppose -p*b - 27 = 27. Is b smaller than -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 2*q - 5*c = 18, 258*q + 2 = 259*q + c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 133214 + -133129.0376. Let c = m - 85. Let z = c - -0.0375641. What is z rounded to 6 decimal places?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express -1261*u**2 + 1 + u**4 + 1261*u**2 - 2*u**3 as j*u**4 + q*u**3 + g*u + f*u**2 + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Factor 4*y**4 - 104*y**3 - 768*y**2 + 21672*y + 68796.\nAnswer: 4*(y - 21)**2*(y + 3)*(y + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let u(r) = 71*r - 420. Calculate the remainder when 76 is divided by u(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(f) = -5*f + 4*f + 5 - 3. Let d be y(8). Let g be (0 + (-3)\/d)*14. Is 8 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((w**(-20)\/w)\/(w**(-37)*w))\/(w**(-24))**(-6) assuming w is positive.\nAnswer: w**(-129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 266\/57*(-1)\/(-7).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let s = -422\/5025169 + -713797504921\/31266601518. Let z = s - 4\/1037. Calculate the common denominator of z and 33\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 5113?\nAnswer: 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -84, -515, -1680, -3945, -7676, -13239?\nAnswer: -21000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 2 k, 1 g, and 1 m when four letters picked without replacement from {x: 3, h: 4, p: 4, m: 2, k: 3, g: 2}.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: (8 + -14 - -65) + -17 - 20\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let f be 16\/5 + -4 - 16\/(-20). Suppose 4*o + r - 44 = f, 12 = 3*o - 4*r - 40. Suppose 8*w + o = 11*w. Solve 5*x = -4*j - 0 + 9, x - 5 = -w*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*v**3 + 105*v**2 + 90*v - 200 = 0. Calculate v.\nAnswer: -20, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(99) + -3*-1*sqrt(99) + (sqrt(99) - -5*1*sqrt(99)))*-3)\/((-1*sqrt(1296)*-5 - sqrt(1296)) + sqrt(1296) + sqrt(1296) + 4*2*sqrt(1296)).\nAnswer: -5*sqrt(11)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 385362 - 1032362. What is r rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(z) = -4*z**3 - 8*z**2 + 4*z - 4. Let f be u(-6). Suppose b + 48 - f = 0. What is b rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z = 1\/4947 - -4945\/9894. Which is the third biggest value? (a) 0.066 (b) -5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -86*t + 125*t - 231114 = 0. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find f, given that -5*f**2 - 211722765*f = 0.\nAnswer: -42344553, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let w(t) = -5*t - 6. Suppose 2 = -4*q - 14. What is the tens digit of w(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {b: 5, o: 14}.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let u(y) = 58*y. Let o(l) = -52*l - 28. Let v(s) = 25*s + 12. Let f(i) = 3*o(i) + 7*v(i). Calculate 11*f(r) - 4*u(r).\nAnswer: -23*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let b = 1.3 + 0.7. Let u = 68 + -72. What is the nearest to u in b, -3, -3\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(j) = -3*j**2 - j - 5. Let t(g) = -2*g**2 - g - 3. Suppose -3*a = 4*p + 15, 0 = -a + 2*a + p + 5. Give a*t(v) + 3*s(v).\nAnswer: v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let z(u) = 0*u**2 - 1 - u**3 + u**2 + 18*u - 18*u + u**4. Let a(j) = j**4 - 7*j**3 + 5*j**2 + 4*j - 3. Let r(v) = a(v) - 3*z(v). Let r(s) = 0. What is s?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 719723?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is 10\/4*-9*13*4\/130?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-21)\/70*-1*1\/6.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 536? (a) 2\/3 (b) -3\/61 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 4 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let y(x) be the second derivative of 1\/24*x**4 - x - 5\/3*x**3 + 0 + 0*x**2 + 1\/60*x**5. Let w(s) be the second derivative of y(s). What is w(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 1909750 is divided by 7021.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Work out -0.39452 * 67.\nAnswer: -26.43284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*r - 45 = -5*n - 20, -3*n - 2*r + 15 = 0. Suppose 5*k - 98 = -2*i - 14, -i = -n*k + 78. Calculate the least common multiple of k and 3*66\/9 - 2.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -264*d - 1645 - 1262 + 267 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 12381997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 116 and 556.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let i(z) = 1553*z - 254695. Determine i(164).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 0 - 149945.2.\nAnswer: -149945.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -3.5 - -3. Suppose -44 - 682 = 3*y. Let v = -2664\/11 - y. Which is the third smallest value? (a) v (b) 9 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -2*(1 + (sqrt(44) - (sqrt(176)*1)\/sqrt(4))) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let l(r) = -r**3 - 4*r**2 - 12*r - 46. Let x be l(-4). Solve -h - 7 = -5*p, -x*p + 5*h + 7 = -5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 2 h and 2 j when four letters picked without replacement from kjhjh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let k(f) = -f**2 - 12*f + 5. Let b be k(-12). Let -j**b - 13*j**5 + 6*j**4 - 2*j**3 + 4*j**3 + 6*j**3 = 0. Calculate j.\nAnswer: -4\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: (9\/(-135))\/((-34)\/306)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -6*w**2*z**3 - 192*w**2*z**2 - 2*w*z - z**4 + 7*z**3 - 3*z**2 wrt z?\nAnswer: -36*w**2 - 24*z + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let s(i) = -5*i + 33 - i + 9*i - 9. Let y be s(-8). Solve -2 = -y*d + d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 0.1 in -0.4, 1\/6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let r(l) = -10*l - 2. Let q be (4\/5)\/((-6)\/(-15)). Suppose -8 = 2*n + q*n. Calculate the remainder when 70 is divided by r(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -1.7 - -1.4. Let n be -7*1\/((-28)\/8). Sort n, 4, k.\nAnswer: k, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b be (1 + (-2)\/4)\/(2\/(-1284)). Suppose 3*s - 1571 - 163 = 0. Let c = s + b. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the lth term of 17225, 17246, 17269, 17294, 17321?\n\"Answer: l**2 + 18*l + 17206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.007933003 to 4 decimal places.\nAnswer: -0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 861856?\nAnswer: 2, 23, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -103, -103, -101, -97?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let g(j) = j - 2. Let y(b) = b - 1. Let m = -8 + 7. Let p(w) = 4*w - 4. Let z(x) = m*p(x) + 2*y(x). Give 4*g(d) + 3*z(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is 906876510 to the power of 1\/3, to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose l = -107 + 101. What is the tens digit of (1 + l - -2) + 86?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the hth term of -38414, -38814, -39212, -39608, -40002?\n\"Answer: h**2 - 403*h - 38012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -2027 - -2022. What is the smallest value in -0.3, -4\/43, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the first derivative of 1805483*c**2 - 1264819?\nAnswer: 3610966*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*p - 18 = 5*c, 4*p + 25*c + 12 = 23*c. Do -299 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth biggest value in -0.09, -3\/5, -6\/11, -0.005, 0.4, 2?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 0 in 3, 1, 11, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let i(y) be the third derivative of -y**4\/12 - 26*y**2. Let c(g) = 8*g**2. What is i(c(d))?\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Expand (0*t - 7*t + 4*t)*(215 - 105 - 110 + 216*t).\nAnswer: -648*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is 246 minutes before 2:36 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 9*i + p + 45 = 10*i, 0 = -3*i - 2*p + 150. Suppose i*o + 3052 = 52*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of ((-6)\/(-30))\/(18\/120)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (1*sqrt(88))\/(-1*sqrt(1331)).\nAnswer: -2*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -51.6 - -51.60001986. Round p to 6 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j be 2\/(-6) + (-58)\/(-3). Let g = 20 + j. Let z = g - 32. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(z) be the third derivative of -z**5\/60 + 7*z**4\/24 - 4*z**3\/3 + 7*z**2. Let t be r(5). Solve 3 = f, t*m - 3*f + 21 = -2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 8\/59 - 265\/649. Let i(b) = -b**2 + 6*b - 2. Let s be i(5). What is the fourth smallest value in n, s, 0.1, -3\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of 15190270 and 8?\nAnswer: 121522160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: In base 12, what is -3 - 70b34?\nAnswer: -70b37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let u(o) = 3*o + 4. What is the remainder when (6 - 5) + (175\/(-10))\/((-2)\/8) is divided by u(7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence ryfr when four letters picked without replacement from {y: 4, f: 3, r: 6}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let b = 140876 + -140876.057069. Let r = b + 0.057. What is r rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -100, -231, -418, -655, -936, -1255, -1606, -1983?\nAnswer: -2380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the millions digit of 1780007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Product of -11223 and 0.3.\nAnswer: -3366.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 3:48 PM and 5:52 PM?\nAnswer: 124","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} -{"text":"Question: 0 + -23 + (-63)\/(43659\/(-1089)) - -18\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 1\/(14\/14231)*4*(-5)\/(-190)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Put 11, -3, 168, -7, -1 in descending order.\nAnswer: 168, 11, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -9037 divided by -1299.\nAnswer: 9037\/1299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Sort 3, 2\/5, -0.1, 2, 0.2, -0.11.\nAnswer: -0.11, -0.1, 0.2, 2\/5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 4143 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let u(h) = 3*h + 4. Suppose 3 = 2*o + 9. Let m be u(o). Let x = m - -10. What is the remainder when 14 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 6386 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: Round 0.02708308375 to four dps.\nAnswer: 0.0271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -96 = -5*t + 4*h, 5*h - h = 4. Suppose -4*b = 5*j + 2 + 3, 0 = 3*b - j - t. What is the smallest value in b, -3, -2\/21, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d(l) = -184*l. Let x(y) = -3399*y - 3394*y + 6797*y. Give x(d(r)).\nAnswer: -736*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is 11.7897 times 0.29?\nAnswer: 3.419013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from nggdtggx. Give prob of picking 2 g, 1 d, and 1 t.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Sort 5, -11, 1009, -2, 4, 0.\nAnswer: -11, -2, 0, 4, 5, 1009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Expand (3*s - s - 4*s)*(-2*s - 2 + 2)*(29 - 31 + 5*s + 8*s).\nAnswer: 52*s**3 - 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*w + 2*s + 4 = 0, 5*w = 5*s - s + 12. Suppose 5*q + q = 144. Calculate the smallest common multiple of 13\/2 + 36\/q and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: -3 times -308\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {j: 2, n: 7}. What is prob of picking 4 n?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let s = -699 - -699. Suppose s = -299*v + 293*v. Solve 2*j = -2*f - 1 - 7, v = -4*f + j + 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 5919 divide 477984253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let u(j) = -j - 10. Let k(i) be the third derivative of i**5\/60 - 47*i**2 + 2*i. What is k(u(s))?\nAnswer: s**2 + 20*s + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -881 = -12*y + 595. Factor 3504*d + 111*d**2 + d**3 + y*d + 480*d + 50653.\nAnswer: (d + 37)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 813621889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let o(r) = -2524*r + 17815. What is o(7)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is 1376244927 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: (15120\/(-150))\/63*(2 - 11\/(-2))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 103*g**2 + 122*g**2 + 97*g**2 + 151*g**2 + 82*g**2 to m + a*g + c*g**2 and give c.\nAnswer: 555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let l(x) = 3*x**2. Let v(k) = 2633*k**2. What is l(v(a))?\nAnswer: 20798067*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 2:28 AM and 4:12 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is 1950110 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3 = -23*q - 3 + 98. Solve -2*u = -q*u - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 1001163*y**4 - 2*y - 1001166*y**4 - y - 188 to m*y**4 + u*y**3 + c*y**2 + l + t*y and give l.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is 647 minutes after 9:18 PM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -232 - 446 + 254 - 343 - 206*j.\nAnswer: -206*j - 767","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -12225 + 12225. Let t = 5\/49 - -16\/49. Let r be (38\/(-4) - -2)\/3. Which is the closest to x? (a) 2\/13 (b) t (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3*l - 4*b = 11, -l - 2*b + 23 = -6*b for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 17244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let q be 2*(4 - (10 + -4)). Let k(i) = 2*i - 12. Let t be k(8). Let r be (-7 - q - -186) + t. Calculate the greatest common factor of 17 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 14349467 to the power of 1\/2, to the nearest integer?\nAnswer: 3788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 4279 and 1815.\nAnswer: 706035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Which is the biggest value? (a) -3 (b) 0 (c) 9.7 (d) 1\/3 (e) -348\/7 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let j be (-24)\/74*((-352)\/33)\/16. Let u = j + 13\/111. Which is the nearest to u? (a) 0.5 (b) -0.3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 14*f + 1201 - 1151 = 19*f. Let a = -26\/15 - -7\/5. What is the nearest to -2\/3 in a, f, -1\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(c) = -8*c**3 + c**2 - 2. What is a(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {n: 8, g: 5}. What is prob of picking 2 g and 2 n?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -75 - 71 + 155 + 234 - 7*g**2 + 5*g**2 + 98.\nAnswer: -2*g**2 + 341","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second biggest value? (a) 611 (b) -22 (c) 2\/7 (d) 3 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Sort -1, -0.1, 0.5, 0.092, -0.3 in descending order.\nAnswer: 0.5, 0.092, -0.1, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the lth term of -590, -1207, -1824, -2441?\n\"Answer: -617*l + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -803 = -5*j + 102. Let n = j - 180. Let w(h) = h. Let m(p) = 18*p + 1. Let o(r) = m(r) - 2*w(r). Calculate o(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from {o: 1, b: 1, f: 1, m: 1, q: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Is 468457651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Convert 735175.1 meters to kilometers.\nAnswer: 735.1751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 44\/33*(-21)\/(-154).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is 104 minutes before 10:23 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is 4 (base 10) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let r(c) = 4*c - 5. Suppose -1 = -2*h + 1. Let k be 75\/9 + h\/(-3). Let z(f) be the first derivative of -11*f**2\/2 + 14*f - 3. Calculate k*r(b) + 3*z(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is 2871028.7 rounded to the nearest 10000?\nAnswer: 2870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the lowest common multiple of 824 and ((-56)\/112)\/(1\/(-24))?\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2044 - 2009 = z. Let x = 524 + -279. Calculate the greatest common factor of x and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort 6, -3404, -2\/79 in ascending order.\nAnswer: -3404, -2\/79, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 357497 is divided by 178745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((((g\/(g\/g**4))\/g**(-8\/7))\/((g*g\/g**7)\/g**7))**(-3\/37))**(9\/7) assuming g is positive.\nAnswer: g**(-3240\/1813)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let s(a) be the second derivative of 11*a**4\/6 + a**3\/2 - 17*a**2\/2 - 64*a. What are the prime factors of s(3)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.00000502047 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Is 2874 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Express 1977*b**2 - 1002*b**2 - b**4 + 1 - b - 929*b**2 as j*b + q*b**4 + w*b**2 + y*b**3 + m and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -x + 10 = -2*x. Let l = x + 2. Let c be 36\/l*(-1)\/(-3)*-2. Solve 4 = -c*y + 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} -{"text":"Question: 1677\/(-7826)*(-1)\/(-1)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 8115 + -3.\nAnswer: 8112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 69.4 - 74. Let o = m + 4.6000098. What is o rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (102\/(-1785))\/((-2)\/5).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(b) = 7*b + 1. Let y = -45 + 44. Calculate i(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put -2, -6, 9, 2 in descending order.\nAnswer: 9, 2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -8 - -19. Let s = u + -10. What is the closest to s in 2, 0.1, -5\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -5542, -8995, -12448, -15901?\nAnswer: -19354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is -1*(((-28)\/16)\/(-1))\/((-33)\/44)*-1?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 10.941825 + -11. Let v = f - -14.352275. Let m = v - 14.3. Round m to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert -2119 (base 10) to base 12.\nAnswer: -1287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let g(b) = 2*b + 1 - 1. Let y(a) = 2*a - 1. Let u(t) = 3*t - 1. Let s(f) = -u(f) + y(f). Determine g(s(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Is -115\/23819 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Expand (8 - 6*f - 8)*(7 - 1 - 1 + f).\nAnswer: -6*f**2 - 30*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 1? (a) -182 (b) 0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Solve -5*p - 9 = -3*z, 0 = 12*p - 8*p + 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 19 in 1\/6, -0.3, 3\/74, -1\/7, 0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -0.52 + 0.12. Let o(y) = y**3 - 7*y**2 + 9*y - 14. Let s be o(6). Suppose -s*w - 6 = 2*n, 4*n + 1 + 19 = 0. What is the smallest value in w, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -2\/21 in 0.04, 5, -0.4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((m**(-1\/4)*m*m**(-2)*m)\/((m**(1\/2)\/m)\/(m\/(m*(m**13*m)\/m))))**(-1\/4) assuming m is positive.\nAnswer: m**(51\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -2*z**2 - 171*z + 331*z - 160*z.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: -19045 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Is 657 a factor of 44438261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0*y - 3*y = -4*f + 1, -5*y = -2*f + 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: How many micrograms are there in 29\/2 of a milligram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: -689778020 + -2413\nAnswer: -689780433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 0.88 - 0.18. Let z = 5 + -4.2. Let c = z - 5.8. Sort a, -0.2, c.\nAnswer: c, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(c) = -369*c - 1134. Give n(-3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -5 in -3, 5, -2\/9, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is (22 - 17) + 0 + 12 + (4 - 6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 6000?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 2016 - 1131. Suppose 4*w = w + o. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -301 - -281. Is -59\/3 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-6)\/((-10)\/35 - 93\/(-105)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(y) = -y**2 - 8*y - 7. Let u be 2\/12 - (-258)\/(-36). Let q be x(u). Solve d + d + 10 = q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(l) = 4*l**5 + l**4 + 3*l**2. Let p(g) = -6*g**2 + 7*g**2 + 0*g**4 + g**4. Let s(j) = -p(j) + r(j). What is the third derivative of s(y) wrt y?\nAnswer: 240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 16*q + 10 = 18*q. Suppose -5*m + q*k = -0*m - 190, 148 = 4*m - 2*k. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 137249 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 14016.99998571 + -14017. Round f to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z(t) = -t + 2. Let d(v) = v - 1. Suppose 0 = 2*w + 1 + 1. Let y be 1*3\/3*w. What is y*z(i) - 2*d(i)?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Solve -i + 3 = -2*m, 4*m + 8*i + 8 = 12*i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the jth term of -4712, -25556, -82134, -192314, -373964?\n\"Answer: -2978*j**3 + j**2 - j - 1734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {g: 1, c: 2, d: 1, o: 4, z: 1, b: 3}. Give prob of picking 1 g and 1 b.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -203, -206, -209?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let t(g) = g**3 + 5*g**2 - 2. Let k be t(-5). Suppose -u = -2, -n + 10 = 5*u - 1. Suppose 0 = 4*y - 3*a - 3 + 4, -4*a + 20 = 4*y. Sort y, k, n.\nAnswer: k, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of ((-4)\/6)\/(116\/(-2871))*-2?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((v**(-1\/4)*v**(-1\/8)\/v)\/(v**(-2\/3))**(-2\/15))**(5\/9) assuming v is positive.\nAnswer: v**(-527\/648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -0.1 + 0.1. Let l(o) = -6*o - 7. Let r be l(-2). What is the third smallest value in r, u, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find j such that -3*j**4\/7 + 2946*j**3\/7 - 43740*j**2\/7 + 217950*j\/7 - 362625\/7 = 0.\nAnswer: 5, 967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 45 - 49. Put 0.2, -2\/9, 7, d in descending order.\nAnswer: 7, 0.2, -2\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x be (-16)\/(-6) - (-1)\/3. Suppose 0 = -x*g + g + 158. Let z = g + -34. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the lowest common multiple of 10 and 134.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let t be (0 - 3) + -1 + 0. Let g(p) = -8*p + 1. Let b be g(t). Suppose 0 = 31*h - b*h + 20. Calculate the least common multiple of 32 and h.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*o - o + 4 = 0. Let p be (-3)\/(((-9)\/(-2))\/3). Is o bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 3249*m*q**2 - m*q + 2*m - 2*q**2 - q - 218 wrt q.\nAnswer: 6498*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {j: 7, m: 7, i: 2}. Give prob of picking 2 m and 1 j.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let h be 78\/15*(-1 + 11). Is 3150\/26 - 8\/h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from zpzyppxpppxxxp. Give prob of picking 1 z and 2 p.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((-1)\/((-32)\/(-26)))\/((6968\/(-416))\/(-67)).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is 400 minutes before 9:03 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {k: 2, w: 2, e: 4, u: 4}. Give prob of picking 1 u and 2 e.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Sort 0, -42, -3, -1058, 1, -5.\nAnswer: -1058, -42, -5, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -120*i - 127*i - 577*i**2 - 431*i**2 + 245*i.\nAnswer: -1008*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of 688*x**4 + 2*x**2 + 3168.\nAnswer: 16512*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Determine f so that -3*f**4 + 237*f**3 - 7020*f**2 + 92400*f - 456000 = 0.\nAnswer: 19, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -2*n - 3 + 7. Suppose -h = 3*p - 58, n*h - p - 85 = 17. Let f = h + -45. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -4, -2, 0, 2, 4, 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: -655\/178 or -5?\nAnswer: -655\/178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 32 = 8*c - 32. Suppose c + 34 = 7*q. Calculate the least common multiple of q and -14*(3\/(-2))\/3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z = -9 + 49. Calculate the remainder when z is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 198\/36*(-42)\/(-56)*(-48)\/(-18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Factor -4*n**2\/7 - 16*n\/7 + 128\/7.\nAnswer: -4*(n - 4)*(n + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*s = 3*x - 17 - 36, 4*x = -3*s + 48. What is the lowest common multiple of 9 and (21\/(-2))\/(-7) - x\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 2:39 AM and 9:49 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose w + 5 = 0, -3*d - 4*w + 20 = -2*w. What are the prime factors of ((-2)\/3)\/(d\/(-135))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3*b + 120 = -5*w - 7*w, 14 = 5*w + b + 64 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 300 + -301.97. Let d = -3.31 - y. Round d to 2 dps.\nAnswer: -1.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 1329855 and 735?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -9961*l**2 + 43937*l + 1633*l**2 - 43937*l.\nAnswer: -8328*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: -4 - 1 - -3 - 1 - 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence kyk when three letters picked without replacement from ykykyk.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is 12135628 divided by -23?\nAnswer: -527636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let j be 9\/(-2)*(3 - 5). Let a be 6 + j - (0 - -1). Suppose 2*k + 28 = 168. What is the highest common divisor of k and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(z) = -9 + 47*z - 4 + 5 - 40*z. Let c be x(16). What is the highest common divisor of c and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p(d) = 17*d**2 - 11*d - 11. Let j(g) = g**3 - 8*g**2 - 8*g - 3. Let q be j(9). Let b(h) = -9*h**2 + 6*h + 6. Give q*p(t) + 11*b(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (20 + (-81786)\/4085)*1?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-f**4 + 0*f**4 - f**4)*(0 + 2 + 0) + 0*f**4 - 2*f**4 + f**4 + f**4 - 2*f**4 - 38*f**3 - 2*f**2 + 40*f**3.\nAnswer: -6*f**4 + 2*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let g(x) = -x**2 + 3*x + 14. Determine g(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is 138008 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: What is 8.1101878 rounded to 2 decimal places?\nAnswer: 8.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: In base 8, what is -25060 + 101?\nAnswer: -24757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Is 1210981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let n(o) = -o**2 - 6*o. Let b be n(-8). Let c = b - -17. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w be 93\/(-12) - (-2)\/(-8). Let g be (4 - w)*1\/4. Solve -2*v + g*o = -16, 20 = 4*v - o - 2*o for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.00000051164 rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Solve -5*a - 55 = 5*b, 5*a + 3 - 2 = 4*b for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from zzzzzzxzxzx. Give prob of sequence xx.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the yth term of 20, 38, 70, 122, 200, 310, 458, 650?\n\"Answer: y**3 + y**2 + 8*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 26230534 and 2323?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Which is the biggest value? (a) 2\/11 (b) 6\/5 (c) -0.2048 (d) 3 (e) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Express -14295 + 14295 - 67*d + (2 - 2 + 1)*(6*d - 8*d + 4*d) in the form x*d + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let r(p) = 2*p - 2. Let i be r(3). Let n = -15 - -19. Let a(t) = 4*t**2 - 5*t - 39. Let j be a(4). Solve n*w = j*s + 17, -i*s - 2*w = 7 + 17 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(t) = 0*t + t - 90 + 84. Let c be u(3). Let q(a) = -a + 2. Let x(z) = -1. Let w(g) = q(g) + 3*x(g). Give w(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -6*z + 14 = 5*p, -31*z - 24 = -36*z + 2*p. Solve -i = -z*i - v + 12, 0 = 5*v for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -3 + -5. Let m = 5 - 5. Let w = 0.1 - m. Which is smaller: r or w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {s: 1, m: 2, i: 2, a: 5, p: 2, h: 5}. What is prob of picking 3 h and 1 m?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let a(r) be the third derivative of r**5\/60 - r**4\/4 + r**3\/3 + 2*r**2. Let c be a(6). Suppose -2*j - 2*j = t - 92, 30 = j + c*t. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(m) = -35021*m - 10331193. What is k(-295)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -47 or 53?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*d + d + 5 = 0. Suppose u + 21 = 2*u - 5*w, d*u + 2*w - 51 = 0. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 30*z = -8*z - 221 + 601 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is 6671 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Express 4 + t**2 - 4 + (-86333*t**2 + 410525*t - 410525*t)*(-3 + 1 + 3) as u*t + s + g*t**2 and give g.\nAnswer: -86332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -22*j + 666 = -16*j. Suppose 20*c - j = -11. Calculate the remainder when 34 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(z) = 2*z - 24. Let l be y(11). Let r be (l - -1)\/((-8)\/(-16)). Let o = 24 + r. What is the least common multiple of o and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(w) be the first derivative of -5\/3*w**3 + 0*w + w**2 + 0*w**4 + 14\/5*w**5 - 6. What is the third derivative of c(o) wrt o?\nAnswer: 336*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l be -3 - (-2 + (-1 - 1)). Suppose -z + l = -1. Factor -2\/5 + 4*s**3 + 2*s - z*s**4 - 4*s**2 + 2\/5*s**5.\nAnswer: 2*(s - 1)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert 72.57104 millilitres to litres.\nAnswer: 0.07257104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let d(l) = 150*l + 4 - 144*l + l**3 + 2 + 7*l**2. Let p(t) = -3*t**2 + t - 6. Let f be p(0). Give d(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -6*l = -2*l - 144. Let h = -22 + l. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 166472561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let z(p) = p**3 + 6*p**2 + p - 45. Let m be z(-8). Let x = m + 233. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of 497 and 14?\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 4 + 11 - (-122 - -102).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 6*m - 21 = -3*b + 3*m, -3*b + 39 = -3*m. List the prime factors of 4*(b\/4)\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(n) be the second derivative of 0 + 9\/20*n**4 - 6\/5*n**3 + 6\/5*n**2 + 6*n. Factor o(r).\nAnswer: 3*(3*r - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(f) = -f**3 - 2*f**2 - 2. Let k(r) = 638*r**3 + 10*r**2 + r + 10. Calculate -k(j) - 5*x(j).\nAnswer: -633*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Is 198443 a multiple of 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {w: 2, f: 6}. Give prob of sequence wf.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is 1.450296 meters in kilometers?\nAnswer: 0.001450296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is -5 (base 8) in base 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is -2421585 times 39?\nAnswer: -94441815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let t be 1 - -4*(-2 + 3). Let d = -859.6 + 886. Let h = -26.3 + d. What is the closest to 0.4 in h, 4, t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 56 = 6*q + 8*q. Find the second derivative of 3*c**4 + 470*c**3 + q*c - 470*c**3 + 8 - 11*c**2 wrt c.\nAnswer: 36*c**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j = -2779639\/8477322 - 3\/45577. What is the common denominator of 53\/42 and j?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 285042780 a multiple of 940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Divide 228 by 228.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 64 - -13. Is g != 76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 1 - 14 - (-222 + 85 - -115) - -45.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 828944014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 0*2\/((8\/(-4))\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: -34 times 510386\nAnswer: -17353124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let u(w) = -59*w + 5. Let j(a) = -117*a + 11. What is -6*j(o) + 13*u(o)?\nAnswer: -65*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Put 5, -4, -24, 4, -6 in decreasing order.\nAnswer: 5, 4, -4, -6, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Expand (0 - 1 - 1)*(-6*d + 2*d + 2*d + (2 + 0 - 4)*(5*d - d - 2*d) - d - 5*d + 4*d - 2*d + 8*d + 10*d).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let c = 1.5512685 - -0.098768. Let i = -1.65 + c. Round i to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(s) = 6*s + 7. Let m be (-4)\/6*3 + -7. Suppose 3*p - 5*z - 7 = 0, -p - 2*z + 3*z = -3. Let n = m + p. Let c(i) = -7*i - 8. Calculate n*c(l) - 6*f(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let m(r) = 13*r - 72. Let w be m(-8). Let b = w + 310. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4*n - 12*c - 14568 = -14456, -32 = 4*c for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the third biggest value in -2\/3, 21\/2, -0.04, 0.7?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 216 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest value in 4\/7, 225\/2, 2, -3, 9, 1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is 5 + (13 - 9) + -2 - -10?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(f) be the third derivative of -f**5\/30 - 19*f**2. Let h(v) = -13*v**2. Give h(y(l)).\nAnswer: -52*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: 9\/(90\/35) - (-3)\/2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let d = -267 - -269. Suppose -2*x - 7835 = -d*t + t, -2*x = -4*t + 31322. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: -5509 times 41\nAnswer: -225869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*x = 4*m - 12, -4*m - 2*x = -5*m - 2. Suppose k = m*k - 9. Calculate the remainder when k is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (2 + 1 - 4)*(51*h**2 - 56*h**2 - 59*h**2 + (h + 0 + 0)*(-h + 3*h + 2*h) + 3*h**2 - 2*h**2 - 4*h**2).\nAnswer: 63*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-17)\/((-1122)\/12) + (-106)\/(-22).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (11\/(154\/21))\/(30\/16).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let y(d) = 34*d - 16. Let t be y(11). Let z = t - 351. Solve -3*b = -5*q + 25, 0 = -2*q - 2*b + z*b + 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(a) = 7*a. Let b(f) = 293*f**2 - 15*f + 5. Calculate b(l(n)).\nAnswer: 14357*n**2 - 105*n + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let q(d) = 388432*d. Let i(k) = -7*k. Give i(q(b)).\nAnswer: -2719024*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Work out 238235 - -6.\nAnswer: 238241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let h(p) = -p**3 + 8*p**2 + 24*p - 130. Determine h(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence hj when two letters picked without replacement from hwnjq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 19*h - 5*h - 70 = 0. Let t(z) be the second derivative of 0*z**h - z**2 + 0*z**4 + 0*z**3 - z + 1\/10*z**6 + 0. Find the first derivative of t(o) wrt o.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 69*a - 229 = 47. Let k = -0.46 - -0.06. Let t = -30 - -22. What is the third biggest value in a, k, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -12 = -5*w + 13. Suppose 0*a - y = -a + 2, -2*y - 19 = -w*a. Suppose -40 = -a*m + 5*v + 25, v - 13 = -m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(q) = 4*q. Let r(y) = 5*y + 1. Let o(w) = -6*m(w) + 4*r(w). Let i be o(-13). Suppose -4*h + 12 = -i. What is the remainder when h is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -6*m + 32*m - 18379400. What is m rounded to the nearest ten thousand?\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 32147?\nAnswer: 17, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of ((-28950)\/(-35))\/((-78)\/(-728)).\nAnswer: 2, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: 1.867 * 12038\nAnswer: 22474.946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Put together -755189937 and 0.6.\nAnswer: -755189936.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -8 + 5 = -m. Let s(x) = 4*x**3 - 3*x**2 - 4*x + 2. What is the tens digit of s(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert -20 (base 13) to base 9.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: (-2 + 2 - -2)*1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 2*m + 3*a - 19, -1549 = 4*m - 3*m + 2*a - 1563 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 4*m**4 - 31*m**2 - 10566*m.\nAnswer: 48*m**2 - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 2 + (sqrt(66) - (sqrt(66) - (-1*sqrt(66) - sqrt(66))*-5))\/((sqrt(150) + sqrt(6))*-5 + sqrt(6)).\nAnswer: -10*sqrt(11)\/29 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 42*o - 48*o = -54. Suppose -24 = -11*d + o. Put 5, d, -2 in increasing order.\nAnswer: -2, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort 704, -0.5, -0.768.\nAnswer: -0.768, -0.5, 704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: 0.2 * -11702585\nAnswer: -2340517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let f(u) = -8*u + 0 - 1 + 7*u + 9. Let d be f(6). Find the third derivative of 2*r**d - 2*r**2 + 2*r**2 - r**2 + r**3 wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 3*d**2 + 1631969*d - 12 - 1631969*d.\nAnswer: 3*d**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 93 is divided by -6*(40\/(-6) - -4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(x) = -2573*x - 388459. Give r(-151).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let t = -21 + 49. Let y be (3 - 0) + (-8)\/(8\/3). Suppose -5*u + 4*j + 45 = -y*j, 2*j + 10 = 0. Solve g + u = -5*f - 19, -3*g = -5*f - t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 5*f, -3*k = -k - 3*f + 462. Let x = k + 404. Suppose 2*l = -4, 0*l - x = -t - l. Is t a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 494662 a multiple of 272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 3.93 + 0.07. Let h = -2 - 2. Let m = 2\/143 - -276\/715. What is the closest to m in h, -0.5, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second biggest value? (a) -46184\/5 (b) 1\/17 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let f(x) = 10*x - 5. Determine f(6).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third biggest value? (a) -81 (b) 0.6 (c) -1.43 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Is 1221692033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the third smallest value in 11\/4, -0.2, -3\/13?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: 33088785 divided by 22\nAnswer: 33088785\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Is 150560415 a multiple of 1035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -20.5 - 622.5. Sort -0.2, r, -1\/3.\nAnswer: r, -1\/3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 21 - (-1 + (0 + 14 - 3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -618 - -1216. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 3651480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Are 11400980 and 11400980 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 1083*g**4 - 26106*g**3 - 24336*g**2 + 2778*g - 75 = 0. Calculate g.\nAnswer: -1, 1\/19, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: 154 or 2288?\nAnswer: 2288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is 11871 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is -192969900 rounded to the nearest 100000?\nAnswer: -193000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let m(u) = -5*u**2 + 8*u. Let p(o) = -6*o**2 + 9*o - 1. Let f be (2 + 1)*10*(-2)\/(-12). Let c(w) = f*m(w) - 4*p(w). Give c(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of -3658976*c - 527062937.\nAnswer: -3658976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Convert 0.0154218l to millilitres.\nAnswer: 15.4218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let b(z) be the first derivative of 2\/27*z**3 + 2\/9*z + 2\/9*z**2 + 14. Determine y so that b(y) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide 66 by 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Is 15240686 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let s(n) = 3*n**3 + 17*n**2 - 96*n + 95. Determine s(3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -0.139 in 6, 0.3, -61\/5, 63?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*g + 32 = 2*c, -9*g + 15 = -4*g + 35. What is the remainder when (-354)\/(-4) + (-6)\/12 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is -2 at least -419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is (-95)\/(-7) + (67 - 6622\/98)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 4 - 2. Suppose -m = -h*l + 8, -3*l - 2*m - 8 = -20. Suppose c = -l*g + 41, c = -g - 3*c + 29. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*u - w + 39 = 0, -2*w = 4*u - w + 33. Let y(b) = b**2 - 2*b - 11. Does 26 divide y(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c = 1180 - 1139. What is the closest to 0 in 0.4, c, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose n - 6 = -3*d - 3*n, -2*d - n = -4. Let f(a) = a**2 - 2*a. Let c be f(2). Suppose -d*v + c*v + 22 = 0. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 1380?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 18 and 387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let u(b) = b**2 - 6*b + 3. Let r be u(7). Suppose -19994 = r*l - 23*l. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o be (0 + 3 + -2)*-6. Let j = 760 + -772. What is the tens digit of j\/18*837\/o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide -123333 by -6.\nAnswer: 41111\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let z = -9 - -16. Suppose z*l - 134 = 9*l. Let w = -43 - l. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-2*v + 2*v**3 + 2*v)*(-1650 - 573 - 148 - 1369).\nAnswer: -7480*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is -2111893911 minus 4?\nAnswer: -2111893915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 920 is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Is -7579 not equal to -7578?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let y(g) = -3*g**3 - g**2 + 3*g + 2. Suppose -2*d + u - 130 = -489, 5*u - 725 = -4*d. Calculate the lowest common multiple of y(-2) and d.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 207*a**2 + 2 - 42*a**2 + 127*a**2 - 2.\nAnswer: 292*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Solve -5 = 5*m, -2*y - m + 7 - 4 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Sort -1\/3, 4\/3, 4, -3\/7 in descending order.\nAnswer: 4, 4\/3, -1\/3, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*c + 1350 = -92*c for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Solve 8 - 9 = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -1 + -3 + sqrt(11)*-3.\nAnswer: -3*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let l(f) = -25*f - 225. Calculate the least common multiple of l(-15) and 110.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 1832.1 + -2171.36. Let c = l - -339. What is the closest to c in -3\/2, 4\/9, -3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(n) = -n**3 - 79*n**2 + 93*n + 1027. Determine m(-80).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -19095, -19088, -19079, -19068, -19055, -19040?\nAnswer: -19023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Solve -929 = 36*s - 1577 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*x - 3*c = -10, c - 5*c = 0. Sort 14, -1, x.\nAnswer: x, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express -7*z - 4*z - 12*z in the form k + y*z and give y.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: 0 or -2114\/51?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*g - 5*l + 13 + 24 = 0, 3*g + 2*l - 1 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let u(d) = -d**3 + 20*d**2 + 63*d + 91. Let h(m) = 5*m**2 + 16*m + 23. Let n(z) = -9*h(z) + 2*u(z). Is n(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d be -2 + (6\/(-6) - -8). Let j(g) = -g**3 + 9*g**2 + 10*g - 6. Is 4 a factor of j(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fourth smallest value? (a) 3436 (b) 1\/4 (c) -4 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence mr when two letters picked without replacement from rrcammr.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let j be ((-14)\/4)\/((-4)\/(-8)). Let y(n) = -19*n**2 + 12*n + 3. Let x(q) = -43*q**2 + 25*q + 7. Let p(m) = 4*x(m) - 9*y(m). Give p(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 34354 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 437561 and 214513.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 5*h**3*n**3 + 3*h**3*n*u + 15*h**3*u - 6*h**2*n**2*u + 2*h**2*n**2 + 2*h**2*n*u - h*n**3 wrt h?\nAnswer: 30*n**3 + 18*n*u + 90*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Solve 3*o = -2 - 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 o and 2 e when three letters picked without replacement from eovveovvvovo.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3*g = 3*x, 92*g = 89*g + 5*x - 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: -22 - (2 - (33 + -17 - (8 + 1)))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Round -836.08 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let y be (-1)\/2 + (-12)\/(-8). Let s be (6 - 10) + (-1 - y). Let n be -2*2\/s*3. Solve n = -0*d - 2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x be 39 + (2 - (0 + 0)). Suppose x*u - 44*u = 3. Let b be -1*(-2 + -1 + 3)*u. Solve -4*c + 29 - 9 = b for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(k) = 3*k**2 + 7*k + 11. Let o(y) = -174*y - 1397. Let v be o(-8). Calculate r(v).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-11 - 0 - -1) + (7 - 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let j(q) be the third derivative of 0*q + 7\/60*q**5 - 24*q**2 + 0 + 0*q**4 + 5\/3*q**3. What is the first derivative of j(y) wrt y?\nAnswer: 14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(o) = o**2 + o + 2. Let z be b(-2). Solve 0 = z*a + 4*v + 28, 2*v = 2*a - 0 - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of (-2328)\/135*-1 - 16 and -14\/2775?\nAnswer: 8325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 1139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: How many seconds are there in nine tenths of a day?\nAnswer: 77760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Put 708, -2\/3, 0.01, -1.51, 3, 4 in ascending order.\nAnswer: -1.51, -2\/3, 0.01, 3, 4, 708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -1302*i**2 - 3134*i**2 - 1366*i**2.\nAnswer: -5802*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 6:44 AM and 4:29 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {d: 1, j: 12, o: 3}. Give prob of picking 1 j, 1 d, and 2 o.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -36 - 54 = -5*y. Let b = 852 + -369. What is the remainder when b is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 506917485?\nAnswer: 3, 5, 101, 111533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let u(p) = 4*p**2 - 15*p + 7. Let z(r) = -2*r**2 + 7*r - 3. Give -3*u(o) - 7*z(o).\nAnswer: 2*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let y(d) = 16*d**2 + 48*d - 144. Let x(l) = 59*l + l**2 - 59*l. Let g(v) = 20*x(v) - y(v). Determine i, given that g(i) = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is 5 + fad?\nAnswer: fb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Factor -7*u**2 + 229*u + 66.\nAnswer: -(u - 33)*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 6 = 2*c - 14. 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 31499 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let s(v) be the third derivative of -v**6\/30 - 27*v**5\/5 - 39*v**4 - 2218*v**2. Find b such that s(b) = 0.\nAnswer: -78, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of h**5 + 2*h**4 - 117744*h**3 - 8*h + 7046.\nAnswer: 20*h**3 + 24*h**2 - 706464*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let m be 3 + 8 + -9 - (-4 + 0). Put -5, m, -17 in decreasing order.\nAnswer: m, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express (-i**2 - 2*i**3 + i**2)*(-6*i - 2 + 13 + 3*i) as v*i**2 + t*i**3 + w + s*i**4 + z*i and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 72*f - 58400 = 22*f. Calculate the highest common divisor of 32 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r be 2\/2 + 33\/(-39). Suppose 2*s = -4*v + 2, -34 + 29 = -5*s + 2*v. Which is the biggest value? (a) r (b) s (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 10 = -p - 3*p - 5*o, -2*p = 4*o + 8. Let t(w) = w**2 + 7*w + 6. Let m be t(-5). Put m, 4, p in increasing order.\nAnswer: m, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -20 = -h - 3*h, -2*x + 3*h = 29. Let q(s) = -s**3 + 2. Let n be q(0). Suppose n*p - 7 = -2*o + 5, -5*p = o - 22. Are o and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.1426232ms in microseconds?\nAnswer: 142.6232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -8*x + 3*x + 2*s + 47, -3*x + 24 = 3*s. Suppose -3*w - x = 5*t, -9*w = 2*t - 6*w. Sort 0.3, 0, 2, t.\nAnswer: t, 0, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-3 - -5 - -1) + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let s(g) be the third derivative of g**9\/1512 + g**8\/210 + g**7\/70 + g**6\/45 + g**5\/60 - g**3\/6 - g**2. Let n(y) be the first derivative of s(y). Factor n(h).\nAnswer: 2*h*(h + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {l: 5, e: 2}. What is prob of sequence llll?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when (-6)\/13 - 22000\/(-572) is divided by -3 + 29 + 2 + -3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h(k) = 61*k**2. Let r(n) = 23*n**2 + 3253. Calculate r(h(p)).\nAnswer: 85583*p**4 + 3253","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.020441 rounded to 3 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (3 - 3 - 3*t**3)*(-3 + 3 + t)*(4 - 2 - 1) to the form x + v*t**2 + b*t + c*t**3 + z*t**4 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -9 + (15 - 10) + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Convert -3 (base 9) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Convert -112331 (base 4) to base 16.\nAnswer: -5bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve 2*b = 10*n - 9*n + 6, -2*b + 3*n = -2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 24, 95, 214, 381, 596, 859, 1170?\nAnswer: 1529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let g(o) be the first derivative of 0*o**2 - 1\/3*o**3 - 1 + 0*o. Let x(t) be the third derivative of -t**5\/30 + 7*t**2. Determine x(g(i)).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 1175 - 1172. Suppose r*x = 23 - 14. What is the remainder when (39\/9)\/(2\/6) is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (c\/c**0*c)\/(c*c**(-5))*(c*c**1*c*c*c)\/c*c**(-1\/14) assuming c is positive.\nAnswer: c**(139\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let c be -2 - (-9)\/6 - 10524\/(-24). Let j = c - 21023\/48. Which is bigger: j or -1\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -1848 divided by -231?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 474528 is divided by 118611.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is 1814240 divided by -12512?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let w(o) = -o**3 - 53*o**2 - 12*o - 646. What is w(-53)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 80391 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 11:23 PM and 7:35 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Multiply -1.37758 and -6.\nAnswer: 8.26548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Convert 30677.3 decades to centuries.\nAnswer: 3067.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve 1\/2*z + 1\/3 + 1\/6*z**2 = 0 for z.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the uth term of 17, 84, 239, 518, 957?\n\"Answer: 6*u**3 + 8*u**2 + u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: 56.7 times -318\nAnswer: -18030.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Solve -5 = -58*d + 749 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let w(h) be the second derivative of -15\/4*h**4 + 2*h**2 - 112 - 2*h + 0*h**3. Let x(f) = f**2. Calculate w(x(l)).\nAnswer: -45*l**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let q(z) = z**3 - 7*z**2 - z + 9. Let g be q(7). What is the common denominator of 2755\/1276 - (-1)\/4 and 177\/g*(-7)\/(-63)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(2) + -3)*-4*3 + (sqrt(2662)*-2)\/sqrt(11).\nAnswer: -34*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*n + 0*n = 624. Suppose -v = t - n, -839 = -4*v - 4*t + 7*t. Let l = v - -942. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -3988 - -6709. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: 1 divided by -182\nAnswer: -1\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Simplify s\/((s**1*s)\/s)*s\/(s*s*s**(5\/2)\/s)*(s**(-3\/8)\/s)**(-15\/7) assuming s is positive.\nAnswer: s**(25\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let k(l) = 2*l + 11. Let z be k(-4). Suppose 13 - z = -5*j, 0 = -4*m + 2*j + 360. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (3 - (7 + (-1 - -1))) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 37 and 40589?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Is 10007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (11\/55)\/(2\/5)*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 10599947 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -k + 2 = 4*l - 9, 0 = 2*l + 3*k - 3. Suppose -l*p + 5 = -1. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v(c) = 16 + 42*c - 53*c + c**3 + 25 - 12 - 7*c**2. Let t be v(8). Solve -2*z + 8 = -3*p, 0*z + t*z - 6 = 4*p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 2057477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from qlghqqhqlllrhhqq. Give prob of picking 1 l and 2 q.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Solve -k + 7 = 3*u, 2*u - 3*u + 257*k - 67 = 253*k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the ath term of 20, 15, 0, -31, -84, -165?\n\"Answer: -a**3 + a**2 - a + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -521*x + 122*x**2 + 2 + 519*x - 2 to m + o*x**2 + k*x and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((x**(-1))**(-25)*(x**2)**(2\/3))**(1\/16) assuming x is positive.\nAnswer: x**(79\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Expand (6 - 10 - 8)*(-16*s - 431 + 431)*(0 + 0 + 2).\nAnswer: 384*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: How many months are there in thirty-two fifths of a century?\nAnswer: 7680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -0.07 - 0.03. Let t = 2.8 + -3.2. Let i = 26.7 + -27. Which is the nearest to f? (a) t (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -4\/15? (a) 1\/5 (b) 4\/9 (c) -1420\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {l: 6, b: 1, c: 4, s: 5}. Give prob of picking 2 c and 1 s.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Determine j so that 3*j**3\/5 + 681*j**2\/5 + 7797*j + 38307\/5 = 0.\nAnswer: -113, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let v(d) = -10*d**3 + 12*d**2 - 19*d - 116. What are the prime factors of v(-10)?\nAnswer: 2, 3, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -5*(-1*(sqrt(171) + 0 + sqrt(171) + sqrt(171)) + 3 + sqrt(171)*2 + ((sqrt(171) + 4)*4*6)**2).\nAnswer: -538575 - 69105*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Sort -5, 392, 629, -13 in decreasing order.\nAnswer: 629, 392, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*i - l - 420 = -i, i = 4*l + 105. Let w = 10 - 3. What is the least common multiple of i\/14*16\/10 and w?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -62.4 + 62. Is 0 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 6422333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let r(l) = -2*l + 24. Let v(f) = 4*f - 50. Let x(w) = -2*w + 25. Let m(q) = -3*v(q) - 5*x(q). Let o(i) = -5*m(i) + 6*r(i). Let h be o(9). Solve c - h = 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 335225\/2990 + 31\/(10478\/(-39))?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Determine l, given that -27*l**4\/8 + 1101*l**3\/8 + 2649*l**2\/8 - 2949*l\/8 - 387\/4 = 0.\nAnswer: -3, -2\/9, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is 7223477 to the power of 1\/2, to the nearest integer?\nAnswer: 2688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let m(y) be the first derivative of 2*y**3\/63 - 2*y**2\/21 - 2*y\/7 + 2. Factor m(f).\nAnswer: 2*(f - 3)*(f + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 1232*u - 1210*u - 33858 = 0. What is the greatest common divisor of u and 228?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 482*w**3*z**2 + 3*w**3*z + 285*w**3 wrt z.\nAnswer: 964*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let p(c) = -2*c**3 + 5*c**2 - 5*c. Let x(q) = -6*q**2 - 49*q - 11*q**3 - 10*q**3 + 0*q**3 + 55*q**2 + 0*q**3. Calculate -49*p(o) + 5*x(o).\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*v - 5*f + 15 = 0, 2*v + 12 = -0*v + 4*f. Solve 3*g - 2*g = y + 5, g = v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (r**(-2)*r**(2\/5))**(-3\/8) assuming r is positive.\nAnswer: r**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: In base 9, what is -1818 - 75?\nAnswer: -2004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let b(z) = -z**3 - 6*z**2 + z + 12. Let o be b(-6). Calculate the greatest common factor of 93 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z = 1426 + -1425. Which is the nearest to z? (a) -3 (b) 1\/5 (c) -0.05 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -22 + 16. Let l(x) = -x**3 - 5*x**2 + 7*x + 6. Let g be l(h). Suppose -q + g*q = -33. Solve -6*z + q = -z + 2*t, 0 = t - 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -5649*m - 16 = -3*z - 5650*m, 3*m - 48 = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Sum 0.437 and 35612.1972.\nAnswer: 35612.6342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} -{"text":"Question: Suppose 23*i - 175095 = -4*i. What are the prime factors of i?\nAnswer: 5, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 1\/4 in 1\/6, 1\/9, -8468, -2, -2\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 6:38 AM and 9:25 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Is 1506134059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is 4830 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 6:10 AM and 2:50 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 1388 is divided by 65.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 987868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let t be ((-10)\/(-2))\/(2\/(-6)). Which is greater: t or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the kth term of -10182, -10226, -10292, -10380?\n\"Answer: -11*k**2 - 11*k - 10160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the ninth root of 1697899 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 2 + (sqrt(243) + sqrt(243) + 1 + (sqrt(243) + 0)**2 + sqrt(243) - sqrt(243)).\nAnswer: 18*sqrt(3) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -14 + 8. Let h(x) = x**3 + 6*x**2 - 3*x - 17. Let y be h(v). Is y < 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: -21505 divided by 5\nAnswer: -4301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 1780209870.\nAnswer: 2, 3, 5, 59340329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let s be (16\/28)\/(6\/21). Let l(u) = -u**2 + 4*u + 4. Let r be l(4). Let j be 12*1\/r*1. Solve 2*g + 9 = 3*v, j*v = s*g + 8*v - 31 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round -1.94452 to 1 decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Solve -13*a + 95*a + 95*a = 3009 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest value in -3, -2\/7, -5, 6216, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Does 86 divide 106210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Is 8581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 2041?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let r(y) = 2*y**3 + 9*y**2 + 6*y + 7. Let n(d) = -48*d**2 - 14*d - 14. Let h(l) = -17*l**2 - 5*l - 5. Let b(j) = 17*h(j) - 6*n(j). What is -6*b(p) - r(p)?\nAnswer: -2*p**3 - 3*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 3:14 PM and 6:38 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Solve -5*k + 5 = -5*n, 18*k - 128 = -3*n - 89 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -59\/88 and -179\/600.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let c be (16\/(-24))\/((-2)\/1053). Let q = 612 - c. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 1473 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 21 divided by -9.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is (-9)\/58*(66\/(-462) - ((-435)\/21)\/5)?\nAnswer: -18\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 81\/88 and 107\/492888.\nAnswer: 492888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Put 5, -3844, 946 in decreasing order.\nAnswer: 946, 5, -3844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 71512 is divided by 10159.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the gth term of -5097, -10215, -15345, -20487, -25641, -30807?\n\"Answer: -6*g**2 - 5100*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let j be 1\/(427\/(-1692) - (-10)\/40). Let f = 425 + j. Solve 5*t = -2*i - f*i - 11, 0 = -3*i + t + 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p(o) = -14*o + 965. Let v(x) = -11*x + 967. Determine -3*p(l) + 4*v(l).\nAnswer: -2*l + 973","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Round 31341553.1 to the nearest 1000000.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 257541369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Factor -4*i**2 - 395416*i + 120973980.\nAnswer: -4*(i - 305)*(i + 99159)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let j(k) = -74*k + 31. Let c be j(-13). Let o = c + -574. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(p) = 42*p - 465. Determine n(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Solve -n - 5*z = 11, -z - 179 + 177 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Factor -w**2 - 786193618*w - 154525101245982481.\nAnswer: -(w + 393096809)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 2502 is divided by 1303.\nAnswer: 1199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Multiply -24.1125 and 0.41.\nAnswer: -9.886125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Is 5663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is -631 (base 16) in base 7?\nAnswer: -4423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 3*a**4 + 0*a**2 + 0*a**2 + 2*a**2 - 27*a**3 - 2*a**4 - 21*a**3 + a to q*a + x*a**3 + l*a**2 + c*a**4 + j and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (p**(-1)*p*p\/p**(-2\/17)*p)\/(p**0\/p**(1\/7)) assuming p is positive.\nAnswer: p**(269\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let r(t) = t - t - t + 0. Suppose -a - 2*a = -3. Let v(n) = -4 - 19*n + 3 + 3 + 21*n. Calculate a*v(x) + 4*r(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let p = 352 + -210. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.79 times -0.0167841?\nAnswer: 0.013259439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: How many litres are there in 9.016925ml?\nAnswer: 0.009016925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Expand (r**4 - r**4 - 2*r**4 - 2)*(-4 + 6 + 5).\nAnswer: -14*r**4 - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is ((-8 - -12) + -4)*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 6*m**5 - 19*m**2 + 558*m**6 - 560*m**6 + 0*m**5 wrt m?\nAnswer: -240*m**3 + 360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (0*a - 2*a + 0*a)*((3*a - 2*a + 2*a)*(-2 - 2*a + 2) + 202*a**2 - 917*a**2 - 52*a**2) to l + v*a**3 + c*a**2 + p*a and give v.\nAnswer: 1546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is the sixth smallest value in 9\/20, 2\/23, 1\/851, -4\/7, -8, -0.2?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from iuic. What is prob of picking 1 u, 2 c, and 1 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest common multiple of 434 and 6510?\nAnswer: 6510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the wth term of 683, 1407, 2173, 2987, 3855?\n\"Answer: w**3 + 15*w**2 + 672*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let b = 415 + -414. What is the closest to b in -0.1, 8, -2\/15, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate 178*h**2 + 18*h + 43 - 181*h**2 + 57 wrt h.\nAnswer: -6*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t = -23399.519 + 23536. What is t rounded to zero dps?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 3993.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let w(c) = c**2 + c - 1. Let f(t) = -6*t**2 + 7*t + 5. Let o(a) = -f(a) + 2*w(a). What is the tens digit of o(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 333 divide 762636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is 3\/10 of a hour in seconds?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let u(b) = b**2 + 6*b - 3*b + 1 - 7 - 2*b. Let s be u(-8). Suppose -20 = -4*t - 4*n, -3*t + 2*n + s = -2*n. Solve d = -3*r - 3 - t, r = 4*d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {y: 12, j: 3}. Give prob of sequence jyjj.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Is 105012 a multiple of 223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: How many hours are there in 0.747801 milliseconds?\nAnswer: 0.0000002077225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from usuepuyu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -6964444*x**3 + 7*x**2 - 175435453*x wrt x?\nAnswer: -41786664*x + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 351*v**4 - 338221*v**3 + 193491*v - 31 wrt v.\nAnswer: 4212*v**2 - 2029326*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -289.945 - -290. Let l = 0.155 - y. Let q = 4 + -6. Which is the nearest to l? (a) 1\/8 (b) -12 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many microseconds are there in eleven quarters of a millisecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 24*t**3 - 506*t + 506*t - 25*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Solve 148*x + 3*d = -156*x + 308*x + 39, -5*d + 61 = -6*x - 0*d for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 9369318 is divided by 2378?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let n(z) = 1433824*z. Let x(r) = -179*r**2. Calculate x(n(s)).\nAnswer: -367997376072704*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 98 - 32 - 41 - 25 - 254*z to the form f*z + w and give f.\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (2*a**3 - 2*a**3 - 2*a**3)*(12 - 12 - 2*a) - 3*a + 5*a**4 + 3*a to the form c*a**2 + d*a**4 + q*a + m*a**3 + o and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Is 3 a factor of 230769?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let a(r) = 5*r**3 + 6*r**2 - 10*r + 14. Let d be a(7). Suppose -5143 = -4*n - t, 0 = -4*n + 3*t + d + 3194. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -39 minus 349887141?\nAnswer: -349887180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Solve 3*m - 8 = -5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let d = -501 + 507. Solve -s - d*s = -3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -4\/9 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is 743633.5km in micrometers?\nAnswer: 743633500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*t**4\/5 - 546*t**3\/5 - 1149*t**2 - 17514*t\/5 - 12312\/5 = 0. Calculate t.\nAnswer: -171, -6, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -9 - 3. Let k be (8\/h)\/((-2)\/18). Find the first derivative of 10 - k*w**3 + 0*w**3 + 5 - 5*w**3 wrt w.\nAnswer: -33*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 41\/3000 and -89\/150500.\nAnswer: 903000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: (12 - (4 - 10 - (2 + -17))) + 1 + -89\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is 13859.4 rounded to the nearest one hundred?\nAnswer: 13900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let o(g) = -g**3 + 7*g**2 + g. Let c be o(7). Suppose -5*z + c = -53. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(s) be the first derivative of -590*s**6\/3 - 387*s**2 + 2*s + 2637. What is the second derivative of n(y) wrt y?\nAnswer: -23600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-5*(sqrt(2) + 2) + -4*sqrt(20)\/sqrt(10) - (4 + (1 + sqrt(98) - sqrt(98)))*-2)**2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let v(x) be the first derivative of -x**4\/8 - 3*x**3\/4 - 3*x**2\/2 - 13*x + 4. Let n(y) be the first derivative of v(y). Find t, given that n(t) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -11*o + 40 - 18. Put -131, o, -5 in increasing order.\nAnswer: -131, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 51*h + 17 + 136 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Expand -1 + 98*z - 213*z + 1 + (3 - 3 - z)*(2 + 1 - 6).\nAnswer: -112*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 2159815?\nAnswer: 5, 7, 23, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let u be ((-10)\/6)\/(3\/(-9)). Let w(l) = -2*l + 1. Let f be w(-1). Let g(n) = -6*n + 4*n - 9 + f*n. Calculate g(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 13*c**3 - 9*c**2 + 14*c**3 + 13*c**3 - 39*c**3 + 4*c**2.\nAnswer: c**3 - 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Sort 7, -3, 0.1, 1.\nAnswer: -3, 0.1, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the zth term of -408940, -817882, -1226824?\n\"Answer: -408942*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.000984799 rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let f(o) = -5*o**4 + 4*o**4 - 4 + 6*o - 3*o. Let i(y) = 2*y**4 - 4*y + 5. Let z(x) = -5*f(x) - 4*i(x). Find the second derivative of z(n) wrt n.\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -527*j**5 + 573*j + 99*j - 1420*j**3 + 1420*j**3 - j**2 wrt j?\nAnswer: -10540*j**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 1448539264 a multiple of 6256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let l(y) = -3*y**3 + 5*y**2 + 5*y + 35. Let u(a) = 4*a**3 - 6*a**2 - 6*a - 35. Determine 6*l(q) + 5*u(q).\nAnswer: 2*q**3 + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 30934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -42674 = -2*a - 4*j, 960*a + j = 959*a + 21328. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 3 - 18. Let h be (-9 - o)\/((-18)\/140). Let x = -46 - h. Which is the biggest value? (a) -0.1 (b) 3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*k - 6 + 4 = 0. Suppose 4*r - 12 = -4*j + 3*j, -4*r + 4*j + 32 = 0. Let s = k + r. Solve s*f = -f + 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: 1030113476 divided by -1316\nAnswer: -782761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is -197.497 times -5?\nAnswer: 987.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let x(g) = -21317*g + 532926. What is x(25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is 401 minutes after 9:51 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 100*b = 89*b + 44. Let c be 3\/((-15)\/(-24) - 1). Sort c, b, -6.\nAnswer: c, -6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*j + g = 2669, 4*g = -4*j + 5*j - 881. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(s) = -10*s**3 - 3*s + 3. Let x(c) = -10*c**3 - 4*c + 4. Give -4*l(y) + 3*x(y).\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Suppose q + k - 15 = 97, -k - 536 = -5*q. What is the highest common divisor of q and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose q = 6*q - 4*r - 57, 5*r = 2*q - 33. Suppose 249 = 4*y + q. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 0.2? (a) -9\/53 (b) -17 (c) -0.3 (d) 4 (e) -1 (f) 1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 878 = 4*r - 2*b + 16, -2*b = -10. List the prime factors of r.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the pth term of 112, 133, 152, 169, 184, 197, 208?\n\"Answer: -p**2 + 24*p + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 138*q**3 - 44*q wrt q?\nAnswer: 828*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -19*u + 8*u**3 - 2*u**3 + 7*u - 8*u wrt u?\nAnswer: 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -11*w = -39*w + 8*w - 60 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Is -5896 at most -5895?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: ((-1)\/4)\/(-6*50\/480)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is 88.02118km in micrometers?\nAnswer: 88021180000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 208148675?\nAnswer: 5, 7, 997, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Sort -1578\/5, 8, -1\/4 in descending order.\nAnswer: 8, -1\/4, -1578\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 268*p + 30 = 273*p. Calculate the lowest common multiple of p and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 2.97 - -0.03. Let q = 3.5 - t. Let x = q - -3.5. Which is smaller: 2\/7 or x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 8414 greater than 8414?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -113 + 117. Suppose -5*z = -u - 15, 2*u - 31 + 5 = -a*z. Let w(t) = 3*t - 2. Determine w(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(u) = 10*u + 2. Let x be f(2). Let y be (-11 - (-2299)\/11)\/(-1 - 10\/(-4)). Let k be 4\/x + 1032\/y. Let v(p) = -p**2 + 5*p + 10. Calculate v(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Add -2.4091262 and -1.\nAnswer: -3.4091262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Is 58 a factor of 63111888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*b - 59 = -3*w - 87, 4*w + 14 = -2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let h(k) = 7*k**3 + 88*k**2 - 50*k + 16. Calculate the remainder when h(-13) is divided by 37.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put 4, -3, 1784904, 2 in ascending order.\nAnswer: -3, 2, 4, 1784904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 14271\/57116 + 2\/14279. Which is the nearest to 0.1? (a) x (b) 34 (c) -0.9 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 316 divide 99511208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let i(v) = 2*v - 5*v - 7 + 10*v. Let h(f) = 10*f - 10. Let t(j) = -5*h(j) + 7*i(j). Calculate t(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d(j) = 238*j + 4551. Let t be d(-19). What is the third biggest value in 4\/7, 0.1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 8166120 and 5832.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 4*b + t - 2055 + 197, -4*t + 1400 = 3*b. Find the third derivative of 464 - b + 3*l**2 - 88*l**6 + 4*l + 22*l**6 wrt l.\nAnswer: -7920*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 11*f + 93 - 313 = 0. Calculate the remainder when 54 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 1792 and 1176.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is 8886 divided by -2962?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -441 + 303. Let m = 135 + l. Put 3, 6, m in decreasing order.\nAnswer: 6, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -1954*g = -1958*g - y + 116, 0 = 5*g + 4*y - 156 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 0 - 130230*p + 0 + 414821*p.\nAnswer: 284591*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: 0 * -349824\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Express 0*h**2 - 2*h**2 + h**2 + (0*h**2 - 2*h**2 + h**2)*(10 - 3 + 3) as p*h + v + k*h**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -6613 + 178525\/27. Let n = -818\/513 - y. Let f be (28\/(-154) + 444\/264)*2\/(-3). Is f > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} -{"text":"Question: Let g be (-78)\/(-9)*6\/(-4). Let n = 26 + g. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 944259383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 3 + 52\/65*5*11*167?\nAnswer: 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 4 - (5 + (-1 - 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let c(v) = 36*v - 779. Give c(22).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 862762.\nAnswer: 2, 431381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 4*c - 9*c - 6735. Let w be (-32)\/(-6)*c\/(-2). Does 30 divide 8\/60 - w\/(-60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is ((-2)\/28*70*18\/(-35))\/((-1)\/(-21))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Expand (1 - 1 - 4 + (0 - 3 + 1)*(-3 + 2 + 0) - 4 + 2 + 1)*(-3 - z + 3).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-2*h + 2*h + h**4)*(-10727*h + 994*h + 2037*h).\nAnswer: -7696*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from llmylmullllumzmul. What is prob of sequence ly?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -1513 + 1513 - 23*u to b*u + r and give b.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let a(u) be the first derivative of u**3\/3 + u**2\/2 - 5*u + 6. Is 10 a factor of a(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from apvayvyyvpbbvvbapby. Give prob of picking 1 y and 1 p.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 3\/8 + (-163527)\/(-728) is divided by 62?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -1\/4 in -2, 18962.3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 262301 + 2590*n**2 - 262301.\nAnswer: 2590*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let p(k) = -10*k - 1. Let c be p(-1). Calculate the common denominator of -113\/14 and ((-91)\/(-3))\/(6\/c).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-3*o**2 - 22 + 23 - 3*o**4 + 7*o**2)*(-2356 - 1841*o + 1181 + 1175).\nAnswer: 5523*o**5 - 7364*o**3 - 1841*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Solve -12 + 1 = -f + 2*p, -19 = -5*f + p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 1248747 is divided by 462.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence hvk when three letters picked without replacement from khhkkvvvhkvvv.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*d - h + 628 = 3*h, 5*d = 4*h - 782. Let k = d + 361. List the prime factors of k.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the billions digit of 5937478111?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: In base 4, what is -1000320 - -21?\nAnswer: -1000233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 41\/47936 and 55\/251664.\nAnswer: 1006656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Does 27 divide 35886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let l(c) be the second derivative of -c**4\/12 - c. Let q(h) be the second derivative of 2 - 4\/3*h**4 + 0*h**3 + 0*h**2 + 3*h. Determine l(q(v)).\nAnswer: -256*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose j = 4 - 0. Let w(z) = -13*z**2 + 9*z - 9. Let o(p) = 6*p**2 - 4*p + 4. Give j*w(v) + 9*o(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of 129494632*d - 71385708 wrt d.\nAnswer: 129494632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the lowest common multiple of 23034660 and 24?\nAnswer: 46069320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -31614 = -2*g - 4*u, 47475 + 31560 = 5*g + u. List the prime factors of g.\nAnswer: 3, 11, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -519476 divided by 2?\nAnswer: -259738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 1637*d + 156*d**2 + 139*d**2 + 464*d**2 - 1705*d.\nAnswer: 759*d**2 - 68*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: In base 4, what is -2010020233 - 10?\nAnswer: -2010020303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest value in 0.1, 40, 3, -4\/11, -20\/7, -5\/3?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.3 times -4.2?\nAnswer: 1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*a - 1640 = 9*j - 11*j, -4*j + 16 = 0. Calculate the highest common factor of 51 and a.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-1 + 1 + 3*a + (-1 + 1 + 2*a)*(-1 + 3 - 1))*(0*a - 4*a + 15*a) to the form q*a + z + v*a**2 and give v.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {d: 1, r: 1, u: 1}. What is prob of picking 1 r and 1 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is the distance between -2.402133563 and -5?\nAnswer: 2.597866437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let f(w) be the second derivative of -7*w**4\/12 + 2*w + 145. Let t(g) = -13*g**2. What is f(t(z))?\nAnswer: -1183*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of ((-20)\/(-32))\/(2\/((96\/30)\/(-4)))*122?\nAnswer: -61\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Solve -130*d - 137*d = 303*d - 1140 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*k + 0 = -30. Let t(z) = -z**2 - 7*z + 16. Let u be t(-8). What is the second derivative of -k*r + u*r - 6*r - 2*r**2 wrt r?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: ((-293580)\/(-38445))\/(((-5)\/165)\/(3\/(-18)))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 6:24 AM and 3:16 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2998 = 5*v - 4*n, -v - 1792 = -4*v - n. Suppose -2*l + 5*y + 2156 = 0, 2*y + v = l - 479. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose x - 2 - 7 = 2*f, 0 = 2*x + 3*f + 3. What is the tens digit of (1950\/(-13))\/(2\/x*-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -3707*n + 16188*n - 499240 for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*g - 14 + 5 = 0. Let i(t) = 339*t - 336*t - t**g - 4*t**2 + 4*t**3. Give i(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fifth biggest value? (a) 0.01 (b) 0.2 (c) -3\/4 (d) -4 (e) -19\/8 (f) -194\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {w: 2, m: 11, s: 5, e: 2}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of -t - 9104 + 9322 - t - 11*t**2 wrt t?\nAnswer: -22*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 4940 at least 5037?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let h(f) = -14070588*f**3 + 2*f**2 - 1. Let t be h(1). Let r = t - -9145205. Let v = -2725382 - r. Round v to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose m**3 + 2203*m**2\/5 - 882*m\/5 = 0. Calculate m.\nAnswer: -441, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 437174446 to the nearest integer?\nAnswer: 20909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let x be (5682\/21)\/(29\/1421). Calculate the highest common divisor of x and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -42004 + 22604. What is u rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Product of 375 and -516.\nAnswer: -193500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -66*j + 65*j = 4*u, 0 = 2*j - u. Which is the fourth biggest value? (a) -4 (b) j (c) 2 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-7 - (-6 + (-2 - 15) + 8)) + -10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of -218*r*v**3 + 281*r - 2 wrt v?\nAnswer: -654*r*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Divide -86 by 86.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2628*o = -2639*o + 55 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Put 6, 17\/5, -4, 0.09, 1 in increasing order.\nAnswer: -4, 0.09, 1, 17\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 124\/28 - 4 - (-24)\/140?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from mqmbmxmmxx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -480 = -94*x + 14*x. Let b(s) = 2*s - 5 - 2 + 1. What is b(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor 7\/2*i**3 + 41\/2*i**2 - 72 - 69*i.\nAnswer: (i - 3)*(i + 8)*(7*i + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -786? (a) 0.6 (b) 2 (c) -0.07913\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Convert 1002220121201211 (base 3) to base 6.\nAnswer: 1324414204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let p(d) = 4*d**2 - 21*d + 12. Is p(16) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k be 12\/(-20) + (-42)\/5. Let i = k - -27. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: (1\/12)\/((-28)\/((-96768)\/(-405)))*3\/(-4)\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let g(w) be the first derivative of w**5\/270 + w**4\/108 + 2*w**2 + 6. Let x(k) be the second derivative of g(k). Determine h so that x(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third biggest value? (a) 2 (b) 38\/21 (c) -1\/2 (d) -25 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let r(u) = 92*u + 1 + 8 - 1 - 1. Let d be r(-14). List the prime factors of d\/(-18) - (-4)\/(-24).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -23*o + 69, -2*s + 6*s - 3*o - 7 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -3261*j**3*l + 20*j**2*l**2 - 4*j*l**2 + 2508*l**2 wrt j.\nAnswer: -19566*j*l + 40*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 41111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 1 = 2*v - 5. Suppose -4*m + 2*l + 18 = 0, 5*l = v*m - 2*m. Solve -g = 1 - m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -h + 3*h + 6 = 0. Let c be ((3 + -3)\/4)\/(h\/1). Factor c*q - 1\/2 + 1\/2*q**2.\nAnswer: (q - 1)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 5850706 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -39 and 2 + -2 - 192\/136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(s) = 5*s + 9. Let c(g) = g + 1. Let u(y) = -6*c(y) - f(y). Let h(o) = -8*o - 10. Let z(q) = 15*q + 19. Let m(t) = 5*h(t) + 3*z(t). Give 13*m(i) + 6*u(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Is 108 a factor of 21924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 265155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 4 - 3. Let n = l + -6. What is the third biggest value in -0.5, n, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.02844839 times 4?\nAnswer: 0.11379356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -55 - -58. Suppose -15 = 5*z + 5*j, y*j + 10 = j. Solve 0 = z*g - 4*g + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -74 - (-3 + (20 - (17 + 20)))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: 8\/6*27\/630*7\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -2 - 4*z + 30*z - 312*z**3 + 20*z wrt z.\nAnswer: -1872*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 4602934 is divided by 156.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 170 is divided by 88.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -5394, -9834, -14274, -18714, -23154, -27594?\nAnswer: -32034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 5:59 PM and 7:29 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 651 is divided by 33?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 138157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 180 - 182 - (-8)\/5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Put 9, 0.2, 2 in descending order.\nAnswer: 9, 2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.148177 to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is 310286083 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Factor -3*p**2\/8 + 5024046*p - 20096178.\nAnswer: -3*(p - 13397452)*(p - 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Convert 10044 (base 6) to base 7.\nAnswer: 3601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let o be -1 + 5 + (0 - 2). What is the second derivative of -d + 18*d - 24671 - 116*d**o + 24671 wrt d?\nAnswer: -232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((m*(m\/(m*(m\/(m\/(m\/(m*m**(-3\/2))*m)))\/m))\/m)\/m)**(-41)*(m\/(m\/m**4))\/(((m\/(m*m*m**25*m))\/m)\/m))**(-50) assuming m is positive.\nAnswer: m**(-6775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 605 is divided by 246.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Is 141544022 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: How many centimeters are there in 11\/2 of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 18108 or 235396\/13?\nAnswer: 235396\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*k + 31 = 5*t, -4*k + 0*k + 4*t - 12 = 0. Let h = -3693\/5 - -741. What is the common denominator of -43*((-13)\/k - -4 - -2) and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -6 in -0.02, -0.0271, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 217 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let o(l) be the third derivative of -l**5\/15 - 5*l**4\/24 - 11*l**3\/3 - 35*l**2. Let t(q) = 5*q**2 + 6*q + 24. Let m(j) = -6*o(j) - 5*t(j). Determine m(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 97119116?\nAnswer: 2, 97, 250307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is -20724 divided by -3?\nAnswer: 6908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 6*p**4 - 41*p**3 - 64*p**2 + 241529*p?\nAnswer: 72*p**2 - 246*p - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Solve 3*t - 7 = -4*s - 2*t, -2 = 2*t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Factor 3*r**3\/8 + 19557*r**2\/8 + 42497361*r\/8 + 30782255151\/8.\nAnswer: 3*(r + 2173)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Does 101 divide 18281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is -d + 5403?\nAnswer: 53f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -8038 - -11254. Is a a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor 2*v**3\/7 + 998*v**2\/7 + 5902*v\/7 - 986.\nAnswer: 2*(v - 1)*(v + 7)*(v + 493)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 2413291 - 2413148.9891. Let b = w + -142. Round b to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -5 take away 223?\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Add 0.41305 and 737197.\nAnswer: 737197.41305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Put -5292, 0.09, 7 in decreasing order.\nAnswer: 7, 0.09, -5292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let m be (-3 - -4)\/(((-8)\/(-10))\/4). Let k = 6 - 8. Sort -20, m, k in decreasing order.\nAnswer: m, k, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: 2 divided by 151\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Solve -h - 3*y = 83 - 77, -5*y = y - 4*y + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-196 - 5 - 145)*(l - 3*l + 0*l)*(l - l - 3*l).\nAnswer: -2076*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -112 - -219. Let d = g - 106.8. Which is the closest to -0.1? (a) 0.5 (b) d (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h be -1 + 14\/(-2) - -1. Is 0\/(-4) - 5*h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the yth term of -10570, -10574, -10580, -10588, -10598?\n\"Answer: -y**2 - y - 10568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -33 + 31. Let u be 2 - ((-32)\/224 + 146\/42). Let j = -8 - -4. Which is the second biggest value? (a) -0.1 (b) j (c) p (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: 507 (base 13) to base 5\nAnswer: 11402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 0.01 + -0.1. Let p = -0.29 - h. Let l be (-6)\/(-27) + (-4)\/18. Which is the closest to l? (a) 0.1 (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 110121 (base 3) in base 15?\nAnswer: 17a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -57 - -56.999968. Round a to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate 6 + 10 + 1727*y - 1640*y with respect to y.\nAnswer: 87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Work out -3223 * -9.\nAnswer: 29007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Solve 10*b = 113*l - 117*l - 8, -4*l = 5*b - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the qth term of -1402, -1760, -2138, -2530, -2930?\n\"Answer: q**3 - 16*q**2 - 317*q - 1070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let b be 2\/3 - (-2 - -3). Let y = -113 - -113.4. Put 1\/7, y, b in ascending order.\nAnswer: b, 1\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -1690*c + 30514 + 97679 - 40313 for c.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: In base 10, what is -7 + -22?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: 50 (base 11) to base 4\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve -31*l = 43*l + l + 2025 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let r be (6\/(-16))\/(69\/(-552)). Suppose 2*v - g = 31 + 46, -169 = -4*v - r*g. Solve 4*h = -4*m + 8, -2*h - 3*h = -5*m + v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s = -1.2 + -2.8. Sort 1\/5, 2\/5, s in increasing order.\nAnswer: s, 1\/5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: -2 - (3 + -7 - -4) - -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let n(q) = q**3 - 5*q + 1. Let t be n(-2). Let b be 2 - ((-6 - -1) + 2). Solve b*c - t*c = 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 3, what is -1020011 - -2121022?\nAnswer: 1101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (h**(-10\/7)\/(h**(2\/23)*h*h))\/(h\/(h*h\/((h\/h**(-1\/4))\/h))*h\/h**(3\/5)) assuming h is positive.\nAnswer: h**(-10193\/3220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Expand k**3 - k**3 - k**3 + (-20*k + 4*k**2 + 20*k)*(-2*k + 0 + 0).\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: 1\/(13\/78 - 4\/6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is -15 (base 13) in base 7?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 108, 464, 1060, 1896, 2972, 4288, 5844?\nAnswer: 7640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (3 + (20 - 22))*-23.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let w(q) = q + 6. Let x be w(0). Let l(y) = y**3 + y**2 + 3*y + 4. Let u be l(4). Let t = u + -42. What is the highest common factor of t and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -77\/6968 and -115\/9648?\nAnswer: 125424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -3144 in 3, 41, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 248 - 246. Let g = 11 + -21. Let k be 86\/5 - (-2)\/g. Solve -k = -5*i - w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: 0 + (2 - (3 + -1 - 1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 1198 + -1196. Solve -12 = -5*h + 6*k - 10*k, h - v*k - 8 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 13 + (-4420)\/280 - ((-9)\/2 + 2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Is 27126 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let y(h) = 30*h - 2. Let l(v) = -v**3 + 5*v**2 - 3*v - 3. Let g be l(4). Suppose 3*d - 6*d = -30. What is the remainder when y(g) is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 219.8 - 223. Round q to 1 dp.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does -2\/61 = 20\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*k = -g + 2*k + 38, 0 = -4*g + 3*k + 74. What is the greatest common factor of g and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -87 + 138. Suppose 0*c = 4*c - d - 237, c - 3*d = y. Calculate the common denominator of -71\/6 and ((-12)\/(-54))\/(c\/(-1413)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -3*(-7)\/(175\/5)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (1 - -14) + (55 + 5 - 67).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Is 3 a factor of ((-3 + 87\/6)*-1)\/(6\/(-1224))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*x**2 + 175*x - 6670 = 0 for x.\nAnswer: -58, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*t - t = -56. Suppose r - 31 = -4*y + 4, -4*r + 127 = 3*y. Let b = t + r. Solve -1 = b*u + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (1 + 3 - 3)*(4*n**3 + 2*n - 3 + 4 - 2*n**3).\nAnswer: 2*n**3 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {y: 8, e: 3}. Give prob of sequence yee.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*v = -w + 15, -5*w - 5 = -4*w + 5*v. Solve -4*n + 3*g + 24 = 8, -2*g - 3 = w*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-2)\/6*45\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzzzpzzpzz.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let j(b) = -2*b. Let m = -47 + 178. Suppose -130*w + m*w + 2 = 0. Let x(r) = r. Calculate w*j(d) - 3*x(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let l(k) be the first derivative of -3*k**5\/5 - 5*k**3\/3 + 3. Find the third derivative of l(p) wrt p.\nAnswer: -72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i be (96\/(-12))\/((-12)\/(-6)). Suppose -4*b - 16 = b - 4*n, -3*b - 5*n = -20. Put b, i, -1 in decreasing order.\nAnswer: b, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 3811*b + 2 + 25*b**2 - 2 - 23*b**2 - 3811*b.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Expand (4*o - 3*o - 3*o)*((1 + 0 - 3)*(0 + 3 - 5) + (-6 - 96 - 335)*(-4 + 3 + 0)).\nAnswer: -882*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -z = 3, 3*d + 3*z = 2*z. Let s be (1 - -13) + -2 + 2. Suppose -3*t = -n + t + 9, 4*n - 5*t = s. Is d greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -557394963, -1114789924, -1672184885?\nAnswer: -2229579846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let -2*w**3 + 24*w**2 - 42*w - 196 = 0. Calculate w.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence hl when two letters picked without replacement from {h: 2, g: 4, l: 8}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let h(p) = -2*p + p + 2*p + 118505 - 118503. Let w(d) = -d**2 - 8*d - 5. Let c be w(-5). Let i be h(c). What is the greatest common divisor of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the gth term of 45, 124, 257, 444, 685, 980?\n\"Answer: 27*g**2 - 2*g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*f = -f. Sort f, -1, -9.\nAnswer: -9, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-4*(3 + sqrt(15)\/sqrt(3) + sqrt(5))*2 - 2*(2 + (sqrt(720) - (sqrt(720) + -1))))**2 + 4.\nAnswer: 960*sqrt(5) + 2184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*d - 2*z - 12 = 0, d + 3*z = -3*d - 22. Let c = d - -11. Let k = 515 - 497. What is the remainder when k is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 447 - 451.82. Let b = i - 0.18. Put 3, -8, b in ascending order.\nAnswer: -8, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -11*q + 13*q - 24 = 0. What are the prime factors of (4\/q)\/(2\/1044)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 14, what is 7aacd + 2c3?\nAnswer: 7adb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 14\/(-49) + 87*30\/3045.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-330)\/(-81) + (-3)\/((-27)\/(-36))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -9*k + 3*k = 143*k - 2086 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -300*p**2 - 32*p?\nAnswer: -600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: 29 - (5 + 15 + (0 - -9) + -24)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate 6*t**2*v - 1264*t**2 + 72*v with respect to v.\nAnswer: 6*t**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose j - 5*r = 8, -3*j - 4*r + r + 6 = 0. Suppose t = -x + j*t + 95, -x - t = -98. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} -{"text":"Question: What is 19eefb (base 16) in base 15?\nAnswer: 2388a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Simplify h**(-2\/17)*h*h*h**(2\/3)*h*h**8\/h*h**(-4) assuming h is positive.\nAnswer: h**(334\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let p(z) = -4*z**3 + 1. Let n(a) = 11*a**3 + 18*a**2 - 3*a + 3. Calculate n(t) - 3*p(t).\nAnswer: 23*t**3 + 18*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -1133, -2264, -3395, -4526?\nAnswer: -5657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from xxrwrxwrxrxlwrwrww. Give prob of picking 4 r.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let b(x) = x - 2. Let t(p) = -2*p + 2. Calculate -5*b(n) - 4*t(n).\nAnswer: 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 6 - 16. Let v be -2 + (-3)\/(6\/n). Solve 3*j = 0, 3*x = -0*x - 3*j - v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -216872\/3 - -71686. Let y = l - -596. Let f = 14435\/6412 - 2\/1603. Find the common denominator of f and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the zth term of -67, -44, -19, 8?\n\"Answer: z**2 + 20*z - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 1235 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Find p such that 14*p**5\/5 + 718*p**4\/5 + 1004*p**3 + 1376*p**2\/5 = 0.\nAnswer: -43, -8, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Divide -5 by -2398.\nAnswer: 5\/2398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*b + 102 = 3*f, -3*b = f + 2*b - 50. Let u(a) = -a**3 + 23*a**2 + 49*a + 29. Let m be u(25). Suppose -m*s = 6*s - f. Solve s*g - 1 = 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert 11.12324l to millilitres.\nAnswer: 11123.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (g**(-1\/9)*g**2\/g)**17 assuming g is positive.\nAnswer: g**(136\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -381 divided by -3.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-22*(-10)\/55)\/(10\/35)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*q - 134 = -4*z + 4*q, -q - 7 = 0. What is the smallest common multiple of z and 24?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 80972 is divided by 40484.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 905 + -902. Let w(c) be the first derivative of 1\/4*c**a + 9\/4*c**2 + 15\/4*c + 16. Factor w(z).\nAnswer: 3*(z + 1)*(z + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z = 92 + -89. Suppose -749 = -z*u - 743. Find o such that -3\/2*o - 1\/2*o**2 + u = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 2\/9 or 916?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 20292 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 11776 = 1278*d - 1150*d. Solve 0 = d*o + 8*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 19707, 19732, 19797, 19920, 20119, 20412, 20817?\nAnswer: 21352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: In base 13, what is -225514 + 25?\nAnswer: -2254bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -76 - -80. Let m = -185\/3 - -61. What is the biggest value in 0.3, x, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: 825750 divided by -16515\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Solve 29778 = 967*m - 56656 + 29381 for m.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is -100100110 - 100100?\nAnswer: -101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -2\/3 in -3\/7, 6\/13, -3, -15, -0.4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: 8db (base 16) to base 4\nAnswer: 203123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten millions digit of 29029498?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let h(l) = 3*l**2 + 6*l - 4. Let a(b) = b**2 + b. Let d(c) = -7*a(c) + h(c). Give d(-3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -35, -22, 15, 88, 209?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Is 4500074977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (2*5*(-2 + (sqrt(448) + sqrt(448)*-1 + 1 + (sqrt(448) + 2)*1)*-4))**2.\nAnswer: 89600*sqrt(7) + 736400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*p - 2*a + 6 = p, -p - 3*a = -9. Let n = 7 + -11. Put -2, n, p in decreasing order.\nAnswer: p, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -47*g - 16*g - 10*g + 97*g - 15*g.\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*z - 2*z + 19 = 3*b, 24 = 4*b + 2*z. Let a = 23\/129 + -1\/86. Let s = 215\/3 - 71. What is the nearest to 1 in b, a, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 256 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 5:09 PM and 12:13 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let n(k) = k**3 - 3*k**2 - 3*k - 3. What is n(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: How many nanograms are there in 8531.312kg?\nAnswer: 8531312000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 13.2 + -24.5. Let k = -11 - o. Is k less than or equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z = -4 + -73. Let k = 91 - 133. Let c = k - z. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert -1101012 (base 3) to base 7.\nAnswer: -2633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let w(o) = 202*o**2. Let u(j) = -30*j**2 + 7*j + 7. Let f(g) = 48*g**2 - 11*g - 11. Let r(q) = -7*f(q) - 11*u(q). Calculate w(r(a)).\nAnswer: 7272*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let j = -2565109\/486 - -5278. Let c be 1*(-2)\/(-972)*4051. Let q = j + c. Find the common denominator of q and -37\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q be (-693)\/(-135) + 2 + 160\/(-75). Let d(a) be the second derivative of -17\/66*a**4 - 2*a + 1 - 80\/33*a**3 - 64\/11*a**2 - 1\/110*a**q. Factor d(h).\nAnswer: -2*(h + 1)*(h + 8)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s be 5\/15 + 5\/3. Let z(a) = -294*a**s + 6*a + 594*a**2 - 311*a**2. Let x(d) = 10*d**2 - 5*d. Let y(q) = 6*x(q) + 5*z(q). Let p(h) = h**2. What is p(y(r))?\nAnswer: 25*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*n = -0*n. Suppose -3*d = -n*d + 3. Let f = 3 - 2. Put f, d, 2\/7 in ascending order.\nAnswer: d, 2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: 22212020 (base 5) to base 8\nAnswer: 574113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 84764975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -52 - -34. Let w be (-38)\/(-9) - (-4)\/k. Calculate the common denominator of -99\/20 and (2\/w)\/((-3)\/63).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(h) = h**2 - 2*h + 6. Let m(w) = -1. What is -6*m(j) - y(j)?\nAnswer: -j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of ((-112)\/(-1260))\/(34\/(-51))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth biggest value in 7.5, -2, 12, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let x(s) = s**3 + 10*s**2 - 8*s. Let a(f) = f**3 + 9*f**2 - 7*f. Let t(w) = -7*a(w) + 6*x(w). Let h = -8 + 3. Let d = 3 + h. Determine t(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 174449?\nAnswer: 11, 15859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the mth term of 89468, 89479, 89510, 89573, 89680?\n\"Answer: 2*m**3 - 2*m**2 + 3*m + 89465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let b be 94\/8 - 3\/(-12). Suppose 3*q - 39 = -b. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Product of 25 and 15.88.\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 161172 is divided by 4477.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let h be -3*(-4)\/(-654)*-1. Let v = 101\/436 + h. Let m = -215\/7 - -31. Which is the nearest to m? (a) v (b) 5 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f be 21\/(-6)*(-36)\/42. Suppose -r - 19 - 17 = -2*g, 4*g - f*r = 74. Suppose 2*i + g - 127 = 2*t, -47 = -i - t. List the prime factors of i.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 217\/(-62)*(-16)\/(-308)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: 26 + (2 - 38) - (-5 + 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 2192997, 2192993, 2192989?\nAnswer: 2192985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Express -366503*l**3 + 10*l**2 + 366337*l**3 + l**2 as m*l + s + a*l**3 + j*l**2 and give a.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -2*i**2 + 6 - 2 - 2 - 2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let r(l) = 84394*l + 1. Let n be r(7). Suppose -g - 20759 + n = 0. What is g rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 724920.3ng in micrograms?\nAnswer: 724.9203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 z, 1 b, and 2 y when four letters picked without replacement from {b: 2, z: 1, h: 2, y: 4, k: 3}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 79461?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let j be (-1)\/(1480\/(-494) - -3). Let w = j + 502. Does 51 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 7*m - 89430 + 32023. Suppose 8*r - m + 1489 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 1199*z**4 - 3*z**3 - 9178*z.\nAnswer: 14388*z**2 - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Sum 48 and 135.003.\nAnswer: 183.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the lowest common multiple of 7236848 and 7088?\nAnswer: 7236848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*j - 6 = 3*j. Let g(y) = 3*y + 2. Let l(b) = 19*b**2 - 10*b + 19. Let v(z) = 16*z**2 - 8*z + 16. Let t(q) = 5*l(q) - 6*v(q). What is j*g(h) - 3*t(h)?\nAnswer: 3*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from lscsccchcllfhlcofchc. Give prob of picking 1 c, 1 f, 1 h, and 1 o.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Convert 281aa (base 11) to base 3.\nAnswer: 2001002211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of 828732 and 4256.\nAnswer: 881770848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -0.1 + 0.2. Which is the closest to g? (a) 1\/6 (b) 0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h be (-51)\/(-85) - (-2)\/((-30)\/(-261)). Solve h*y - 13*y = 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j be 6\/18 + (-51)\/45. Which is the nearest to 2\/9? (a) -5 (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(o) = o**2 - 8*o + 4. Let r be k(10). Let m be (2 - (28 + -2)) + 2. Let b = r + m. Solve -q - 5 = -b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from ooovvooooo. What is prob of picking 2 o?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -25 + 10 = -5*q. Solve 5*d = -5*b + 25, q*b - 5*b = 3*d - 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the distance between -1413 and 96575709?\nAnswer: 96577122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: How many centimeters are there in three fifths of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 211651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let d(l) = -l**2 + 6*l + 22. Let n be d(10). Let g be 7\/(126\/(-68)) - (-4)\/n. Sort -2, -1, g in descending order.\nAnswer: -1, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 4 + (-3 - 3 - -2) - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*u + 9 = -4*t, 2*u + 5*t = -7 - 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is (-3)\/9*2*-1*1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -14 - (-1 + -3 - (15 + -12 + -1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Factor v**5\/3 + 38*v**4 - 236*v**3 + 1432*v**2\/3 - 320*v.\nAnswer: v*(v - 2)**3*(v + 120)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 q and 2 l when three letters picked without replacement from {n: 2, q: 5, l: 2}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 48 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence irre when four letters picked without replacement from errieiriiei.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the nth term of 1835, 6385, 13967, 24581?\n\"Answer: 1516*n**2 + 2*n + 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: 3304560 divided by -413070\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is 770 divided by 2914?\nAnswer: 385\/1457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -6*a + 16 + 20. Suppose 16*b - 210 = a*b. Suppose -96 = 4*q - 852. Calculate the greatest common factor of q and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -822166433*g*q - 13630876*q + 2 wrt g.\nAnswer: -822166433*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 5813, 7446, 9069, 10682, 12285?\nAnswer: 13878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -85\/6 and 7\/9211119.\nAnswer: 18422238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the third smallest value in -4, -2, 3, 100, 2\/3, -1\/6, 2\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*k = 2*z - 2, 0*k - 5*z = k - 9. Let p(v) = -2*v + 6. Let h be p(6). Let x be (k + 7)\/(h\/(-4)). Solve 0 = 2*n - 6*n - x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*c = o + 19 - 23, o = 2*c + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of 475340 and 472.\nAnswer: 56090120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Is 3450332377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Express 318723 - 15*x**3 - 318723 - 17*x as p*x**3 + v*x**2 + k + h*x and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Does 15 divide 347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let b(w) = 7*w**2 - 2*w + 2. What are the prime factors of b(4)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is -14168 greater than -14160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -11*x + x - 2*x**2 + 3*x**2 to the form z*x + q + n*x**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 1867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (3 - t - 3)*(9*t**2 - 9*t**2 - 4*t**3) to l*t**4 + n*t + a*t**2 + g + h*t**3 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -19 = 4*f - 15, 5*f = 5*z - 30. What is the third biggest value in z, 0.4, 0.08, -2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (m**(-26)*m*m**(-2\/27))\/(m\/m**22)**8 assuming m is positive.\nAnswer: m**(3859\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 3245 and 58459324.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(2)*-3 + -2 + sqrt(2))*-1 + (((-1*sqrt(16))\/sqrt(8))**2 - (sqrt(32) - sqrt(64)\/sqrt(2))**2).\nAnswer: 2*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Is 0.16106 > -458?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is 375957 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: Simplify (((2*sqrt(660))\/sqrt(12) - sqrt(55))\/(sqrt(5) - sqrt(180)*-2))**2.\nAnswer: 11\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let q be 24\/(-42) + 18\/7. Let y(f) = -f**3 + 9*f + 6 + 0*f - 1313*f**q + 1303*f**2. What is the tens digit of y(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(x) = -x**3 + 4*x**2 + 5*x - 3. Let r be n(5). Let w(i) = -10*i - 3. List the prime factors of w(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 2\/3 in 3\/4, 2655574, -13?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let m be 12\/(-8)*(-28)\/6. Suppose -k + 27 = m. Calculate the lowest common multiple of k and 6\/4 + (-4)\/(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there in 42\/5 of a day?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is 10511 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((-2*sqrt(132)*-5)\/(sqrt(1200) + (sqrt(1200) - (sqrt(1200) + sqrt(1200)*2 + sqrt(1200)))))**2 + (-3 + sqrt(1331)*2)**2*1.\nAnswer: -132*sqrt(11) + 21343\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let a be (-4)\/(-6) + 4 + -5. Let m = 3949\/51 + -1305\/17. Sort m, -0.21, a in ascending order.\nAnswer: a, -0.21, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 86 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Round -44880000 to the nearest one hundred thousand.\nAnswer: -44900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-252*a - 490 - 490 + 977)*((-2 + 1 - 1)*(1 - 2 - 2) - 2 - 3 + 4)*(a - 3 + 3).\nAnswer: -1260*a**2 - 15*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of 311*g**2 - 3074*g*s + 1107290*s wrt g.\nAnswer: 622*g - 3074*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 118 and 590?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let o(a) = -465011 + 465011 - 2*a. Let b(m) = -937*m**2. Calculate o(b(l)).\nAnswer: 1874*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: 51 - (81 + 45 + -13)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: 403040 (base 10) to base 12\nAnswer: 1752a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -4*4\/48*(-36)\/(-30)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 4, c: 7}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth smallest value in 0.12, -3, 0.4, 0, -1\/4?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let c(h) = -2*h**2 + 2*h - 15. Calculate c(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of -752 and -2?\nAnswer: 1504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: 102.2 or -0.56?\nAnswer: 102.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let r(p) = -70066*p + 1121242. Determine r(16).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the vth term of 489, 680, 875, 1074, 1277, 1484?\n\"Answer: 2*v**2 + 185*v + 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3215*a + 92135 = -126485 for a.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify w**(-5)\/(w\/w**(-4))*(w*w**(-9))\/(w\/(w\/w**(-5\/6)))*((w\/(w\/(w\/w**4)*w*w))**(-2\/17))**(-6) assuming w is positive.\nAnswer: w**(-2111\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -777 + 763. Let v be 2\/(h\/105*5). Sort 13, v, 4 in ascending order.\nAnswer: v, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -9080 - -9083. Solve -2*r = -4*g - 18, 53*g - 50*g + 9 = -a*r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 51855179 to the power of 1\/3, to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} -{"text":"Question: What is 347749693 to the power of 1\/2, to the nearest integer?\nAnswer: 18648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.005273 to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 12*b = 9152 + 9052. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*o = 23*o - 220. Suppose -4*d = c - 60004, -14*d + 3 = -o*d. Suppose -z - z = -4*s + 40000, -4*s = -3*z - c. What is z rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(f) = -14 - 14 + 27 + 4*f - f**2 + 0*f**2. Calculate c(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the sixth root of 300527293 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Solve 3*c + 8 = -4*x, -x - 5*c - 18 = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (n\/(n\/((n*n*n**(-2\/3)*n)\/n*n*n))*(n\/(n**5*n*n)*n)\/n)**(-14)\/(((n*n*n*n\/(n*n*n**(-3)*n)*n*n*n)\/n**(-2))\/n**(-39)) assuming n is positive.\nAnswer: n**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} -{"text":"Question: Let c = -978 + 888. Is c greater than or equal to -365\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second biggest value in 7\/3, -122, -1\/4, -5, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -192552*c**4 - 406612*c wrt c?\nAnswer: -2310624*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Solve -1366*v + 1381*v - 105 = 60 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Solve 7*w + 13*w = 5*f + 8 - 58, -5*f = -4*w + 30 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 221365 or 221922?\nAnswer: 221365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of -260*o - 55?\nAnswer: -260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let j(u) = -5*u**3 + 8*u - 8. Let p(g) = -2*g**3 + 3*g - 3. Let v(n) = -2*n + 14. Let l be v(11). What is l*p(y) + 3*j(y)?\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {n: 2, p: 3, l: 3, y: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is 405 minutes before 12:44 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -2*l**2 - 2 - 8 - 2*l**3 - 2*l + 0*l + 0*l**4 + 2*l**4 - 10*l**2 to the form j*l**3 + v*l + d*l**2 + g + u*l**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let c = -584.94 - -579. Let u = c - -6. Round u to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 7 a factor of 2047004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let z(v) = -10217*v. Let u(h) = -20429*h**2. Calculate z(u(t)).\nAnswer: 208723093*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Solve 11193*f - 11049*f - 2592 = 0 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 15\/(-450)*-10*6*(-22)\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Express (4 + 4 - 2)*(49*l + 42*l - 26*l) as q + z*l and give z.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(153) - (sqrt(153)*2*-5 - sqrt(153) - sqrt(153)))\/sqrt(9))**2.\nAnswer: 2873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Put 136, -0.1, -3 in ascending order.\nAnswer: -3, -0.1, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 654 and 216473346?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3*p + 7*p - 24 = -4*a, 5*p + 2*a = 18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-6)\/(-3)*1*4\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is 21\/8 of a century in months?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -1779675, -7118613, -16016843, -28474365, -44491179?\nAnswer: -64067285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -498 = 17*k - 19*k. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 270\/(-1782)*(24\/20)\/(-1)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 2? (a) 2\/5 (b) 1\/7 (c) -4 (d) 1\/4 (e) -374 (f) 187\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Round -391675550.5 to the nearest one hundred thousand.\nAnswer: -391700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*o - 5 = 9. Suppose -f = -2*f + 5*c - 12, -2 = -c. Sort f, 5, o, 2 in decreasing order.\nAnswer: 5, 2, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(i) be the second derivative of -i**5\/5 - 2*i**3\/3 + 7*i. Find the second derivative of a(s) wrt s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 4*v - 143*w + 144*w - 14084, -3*v = -2*w - 10552. What is the lowest common multiple of 3520 and v?\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 8.71944kg in grams?\nAnswer: 8719.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 1 - ((37 - 32) + -3 + -9 + -3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -14, -19, -18, -11, 2, 21?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 6*h + 6*h + 4*h - 11*h + h - 2*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Put -10, -4, -6, 629, 0, 3, -67 in descending order.\nAnswer: 629, 3, 0, -4, -6, -10, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Is 123428623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the jth term of -52055, -104109, -156163, -208217, -260271, -312325?\n\"Answer: -52054*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -37*z + 45*z + 56 = 0. Let p(f) = 10 - f - f**3 - 4*f**2 - 3*f**2 + 2*f. What is p(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*y = 0, 0 = -5*d + 5*y - 26 - 34. Let h be 1\/(1 + 5\/(-4)). Let g = h - d. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 41 minutes before 10:33 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let a(t) = t**2 + 5*t - 303. Let j be a(15). Is 2 a factor of 7 + j + 46\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: 27.1122481*0.3\nAnswer: 8.13367443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Solve -39 = 14*l + 45 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 0.1 in 0.4, -3, -9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: 76 or 71?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Express (70239 + 350*t - 70239)*(-3 + 0 + 5) - 1 + 1 - 3*t as a + i*t and give i.\nAnswer: 697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 4800290 and 289.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.4 times 328?\nAnswer: 131.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let w be 32\/5 - 2\/5 - (-3 - -4). Put -2, w, 1 in increasing order.\nAnswer: -2, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (4*a + a - 3*a)*(65*a**2 - 30*a**4 - 65*a**2).\nAnswer: -60*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Factor -a**2 + 4*a + 21.\nAnswer: -(a - 7)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let p(j) = -j**3 - j**2 + j. Let d(t) = 15*t**3 + 8*t**2 - 6*t. Let s(w) = -d(w) - 6*p(w). Determine h, given that s(h) = 0.\nAnswer: -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: 1 or -2\/127399?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let t(d) = -d**2 + 6*d - 7. Let i be t(5). Let s = 1 - 1.1. Let v = -0.075 - -4.075. What is the closest to 1\/3 in s, v, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put -13143, -5, 2167 in increasing order.\nAnswer: -13143, -5, 2167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: 1\/125 or 0?\nAnswer: 1\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is -702609 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -22, -38, -64, -106, -170, -262, -388?\nAnswer: -554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 54131\/39 + -1388. Which is the second biggest value? (a) t (b) -2 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many microseconds are there in 3\/32 of a second?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let a(z) = 7*z**2 + 2*z + 2. Let c(l) = -2*l**2. Let m(q) = -8*q**2 - 6*q - 5. Let k(h) = 6*c(h) + m(h). Give -17*a(f) - 6*k(f).\nAnswer: f**2 + 2*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (v**(1\/3)*v*v**(6\/13)\/v)**(-14)\/((v*v**(-1\/3))**(-41)\/(v\/(v*v**(-3\/4)\/v)*v*(v*v*(v*v**(1\/6)*v)\/v*v*v)\/v*v*v)) assuming v is positive.\nAnswer: v**(3919\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 7 - ((1 - -2 - 5) + (-6 - 2))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let x(h) = 22*h**5 + 4*h**4 + 531*h**2 - 4. Let t(i) = 22*i**5 + 5*i**4 + 528*i**2 - 5. Let o(q) = 4*t(q) - 5*x(q). Find the third derivative of o(y) wrt y.\nAnswer: -1320*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 494, 1562, 3294, 5684, 8726?\nAnswer: 12414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 8, 22, 32, 32, 16, -22, -88, -188?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: (6\/8)\/(((-63)\/108)\/7)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.0078 times 0.141?\nAnswer: 0.0010998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let i(x) be the third derivative of 0*x + 2*x**2 + 7\/3*x**3 - 5\/6*x**4 + 0. Let h(b) = 7*b - 5. Give -17*h(y) - 6*i(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 55.045 - 55. Let k = 4.045 - n. Let h be 9\/30 + 1\/5. What is the fourth smallest value in 3\/7, k, h, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l be (-6)\/(4 - (-1702)\/(-424)). Suppose -l = -7*y + 2495. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor 4*q**2 + 45 + 414 + 165053*q + 6*q**2 + 2*q**2 - 164432*q.\nAnswer: 3*(q + 51)*(4*q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q be (156\/21)\/(16\/7 + -2). What is the highest common factor of q and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c = 1.78 - 2.08. What is the third smallest value in 0.5, 4, -3\/56, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 3057 is divided by 762?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2 = -2*a + a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 48 and 304356?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of -465*c + 11438 wrt c?\nAnswer: -465","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 33671 and 2563?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from bbajctbjtctabtaba. Give prob of sequence btj.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -5939 + 10238. Calculate the remainder when 18\/(-30) - (h\/(-15) - -2) is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the lowest common multiple of 111 and 780219.\nAnswer: 780219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -26471, -52950, -79439, -105938?\nAnswer: -132447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the seventh root of 318273 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let f be (-2047)\/299 + 6 + 1. What is the smallest value in -1, 33, -3\/8, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 53723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is the third biggest value in -44\/181, 4, 6?\nAnswer: -44\/181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -0.82 + 0.12. Let u = 0.4 + w. Which is the biggest value? (a) 0.3 (b) 0.2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*c - 5*b = -17, -c + 4*b - 18 = -3*c. Let j be (3 - 3) + c + -2. Let h be j*(-1 + 2) + 132\/12. Solve -6*x + h*x = 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 26517.365 rounded to the nearest ten?\nAnswer: 26520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 1 - 4. Let h = -329 + 329. Let g = h - l. Which is the nearest to -2\/3? (a) g (b) 0.3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of -1 - 10 + 27*z - 12 - 38*z wrt z.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 19*o**2 + 2*o**4 - 9 - 260*o - 78*o**2 + 2*o**3 + 0*o**2 - 65*o wrt o?\nAnswer: 24*o**2 + 12*o - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 1927 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -3426, -25109, -83982, -198639, -387674?\nAnswer: -669681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: ((-510)\/306)\/((-15)\/9 + 2) + (26 - -6)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (24\/(-42))\/(((-3)\/(-5))\/((-55)\/((-550)\/(-15)))).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the lowest common multiple of 1099 and 3395?\nAnswer: 533015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 2112*i + 618*i + 1886*i - 958*i to k*i + o and give k.\nAnswer: 3658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: 0.1 times -1.59\nAnswer: -0.159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is 331 minutes after 1:19 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2 = -a, 0*n + 2*n + 5*a = -10. Let c = n + 30. Suppose 5*v - 109 = -3*u + 6*u, 2*u + 106 = 5*v. Calculate the highest common factor of v and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 7729*n = 7316*n - 26019 for n.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let o be 1*-2*-1 + -3. Does 2 divide o\/(-2 + (-6)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of 501*x**6 - 1323*x**4 + 4*x**2 - 786*x + 30 wrt x.\nAnswer: 60120*x**3 - 31752*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: 2*((-30)\/6)\/50\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 505534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*h = -0*m - 5*m - 30, 0 = -m - 4. Suppose -4*k = -6*k + u + 787, -5*k + 1970 = -h*u. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s be 6\/9*-3*3\/(-2). Let w(o) be the first derivative of 13*o - 30*o + 5*o**s + 12*o + 23. What is the first derivative of w(c) wrt c?\nAnswer: 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the oth term of -3691, -6461, -13959, -28549, -52595?\n\"Answer: -394*o**3 - 12*o - 3285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 331, 682, 1051, 1438?\nAnswer: 1843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: (-144)\/28 + (2\/14 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 9206 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-130 - -96 - 42) + -30?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-126)\/54 - (-12)\/9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let w be (-10 - -6) + -1*3\/3. Do w and -19\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: 1000 divided by 500\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Expand -686 - 77 - 1414*b**3 + 1416*b**3 + (-3*b + 7*b - 3*b)*(3*b**2 - 2*b**2 + b**2).\nAnswer: 4*b**3 - 763","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Work out -13 + 1068331.\nAnswer: 1068318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the third smallest value in -0.2, 2\/13, -6, -0.92, -1?\nAnswer: -0.92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -q = -0*q - 52. Suppose -4*r + r - q = 4*s, -4*s = -5*r + 52. Let a = 18 + s. Put a, 0, 1\/2 in increasing order.\nAnswer: 0, 1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third smallest value in 1, -9230, -4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((27\/(-6))\/(-3))\/(3\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let z(c) = 3*c**3 - c**2 - 4*c - 2. Let g be z(7). Let o = 1959 - g. Let q be o*1 - (2 + -3). What is q rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(q) = q**3 + 8*q**2 - 11*q. Let p(l) = l - 2. Let j be p(-7). List the prime factors of m(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the distance between -71365899 and -990?\nAnswer: 71364909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Is 4767 a multiple of 227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of ((-1184)\/20)\/((-1124)\/1405)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 14*n - 6*n + 2*n**2 + 2*n**2 + 0*n**2 - 4*n**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 3*h = -q + 8, -h - h = -2*q - 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (i**(-4\/3)*i\/((i\/(i\/(i\/(i\/i**(3\/2)))*i))\/i)*i**(-3\/7)\/i**(-1))\/((((i*i**2)\/i)\/i**2)\/(i\/(i\/i**(1\/2)))**(-11\/7)) assuming i is positive.\nAnswer: i**(-1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.5477542ug in nanograms?\nAnswer: 547.7542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Is 112\/61 bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 5 + -4. What is the smallest value in -8, 0, w?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Work out 0.5 * 7.92435.\nAnswer: 3.962175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 2322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 33432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 151*s**2 - 282*s**2 + 130*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let j = -6.3 + 4.1. Let u be ((-872)\/1635)\/(4\/(-5)). Which is the closest to u? (a) j (b) -4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the lowest common multiple of 28 and 815.\nAnswer: 22820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 0.07 + 1.13. Let v = l - 3.2. What is the closest to 1\/4 in -0.2, v, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -318*-34.\nAnswer: 10812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is 0 divided by 1148367?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Work out -0.0618 + -3564.\nAnswer: -3564.0618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 39 in 41, 3, -1\/10?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let b be (3 + (-7 - -2))*3. Let f = -2334 + 2338. Let p be (-8)\/(-3)*6\/20. What is the closest to 0 in p, f, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -27 - -51. Let c be (a + 0)*6\/12. Does 9 divide (18\/c)\/((-2)\/(-52))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(r) = -r**2 + 191*r + 15. Let z be o(15). Let w = z + -1622. What are the prime factors of w?\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: 1.86142*-3\nAnswer: -5.58426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 27431718 divided by -6.\nAnswer: -4571953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 2*c**3 - 8*c**2 + 23*c**2 - 15*c**2.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: How many millilitres are there in sixty-seven quarters of a litre?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let l(i) be the second derivative of -3*i**5\/20 + 19*i**4\/2 + 79*i**3\/2 + 60*i**2 - 349*i - 2. Factor l(b).\nAnswer: -3*(b - 40)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of -0.32121 and 2?\nAnswer: -0.64242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*v = -7 - 5. Suppose -7*s + v = -10. Solve 5*g = s*f - 32 + 9, 19 = f - 5*g for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -d = -6*d - 703 + 1383. Calculate the remainder when 247 is divided by d.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o be (-3)\/(-5) - (-2)\/5. What is the units digit of (-1 + o - 1) + 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z = -31 - -31. Let y(n) be the third derivative of -n**6\/120 + 5*n**3\/2 + n**2. List the prime factors of y(z).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many micrograms are there in seventeen quarters of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -9464177*i*z + i - 1918760*z - 10 with respect to i.\nAnswer: -9464177*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Is 56\/(-48) - 1438015\/(-114) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 32, -580, -1614, -3076, -4972, -7308, -10090, -13324?\nAnswer: -17016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let n be -4 - (-1 + 1) - 550\/(-132). Suppose -4*s + 9 = -s - 3*i, 2*s = -3*i - 4. Is s bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -5*m + 391 - 96. Calculate the remainder when m is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 3089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 727680410.\nAnswer: 2, 5, 17, 281, 15233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Convert 24214.18ng to milligrams.\nAnswer: 0.02421418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Factor -3*l**3 + 3366*l**2 - 1056384*l + 60955872.\nAnswer: -3*(l - 524)**2*(l - 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Express (4*w - 3*w - 2 + 0*w)*(-4*w - w + 0*w)*(-319*w + 774 - 391 - 385) as q*w**2 + k*w**3 + n*w + b and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: In base 10, what is -420 - -765?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 1 - 6. Which is the nearest to 1\/2? (a) 1 (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 1462759 is divided by 146271?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -2*k + 9 + 7. Factor -4*y**3 + 2*y - k - 6*y**3 + 8*y**2 - 3*y**2 + 11*y**3.\nAnswer: (y - 1)*(y + 2)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 66 divide 209922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Does 13 divide 25576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Convert -1ac (base 13) to base 8.\nAnswer: -467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let u(k) = 78*k - 5. Let g be u(2). Suppose 10 = -f + g. What are the prime factors of f?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(j) = -77*j**3 - j**2 - j. Let w(t) = -t**3 - 3*t**2 + 2*t - 9. Let a be w(-4). Let k be m(a). Calculate the highest common divisor of k and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there in 11\/4 of a hour?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -15028 - -10016. Let f = -2999 - v. List the prime factors of f.\nAnswer: 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve z**4\/8 - 17367*z**3\/2 + 301612689*z**2\/2 = 0.\nAnswer: 0, 34734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 3 + sqrt(88)\/sqrt(2).\nAnswer: 3 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Expand (0*q**2 - 4*q**2 + q**2)*(2*q**3 + q**3 - q**3) - q**5 + 0*q**5 + 2*q**5 + (2*q**5 - 2*q**5 - 2*q**5)*(1 + 1 - 1).\nAnswer: -7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 906096?\nAnswer: 2, 3, 43, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: In base 7, what is -102210 + 5?\nAnswer: -102202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let o(k) = k**2 - k - 1. Let f(w) = 12*w**2 - w - 10. Let y(v) = f(v) - 6*o(v). Let c(a) = -5*a**2 - 4*a + 3. Give 4*c(x) + 3*y(x).\nAnswer: -2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Multiply -85 and -30366.\nAnswer: 2581110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*t + 0*t - 9 = 0. Suppose 3 + t = 3*l. Suppose s = -l*s + 48. Solve -5*q = 3*w - s, 4*w - q - 4*q + 2 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*b - 74 = 7*a, -5*b - 24*a + 32 = -25*a for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the mth term of -263142, -263149, -263168, -263205, -263266, -263357?\n\"Answer: -m**3 - 263141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 6632, 13756, 21358, 29432, 37972, 46972?\nAnswer: 56426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 3\/7 + -65\/119. Sort 34, v, 0.4, -4 in decreasing order.\nAnswer: 34, 0.4, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 12699 and 320688?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -0.3 + -0.7. Let r be (-2)\/8*40\/(-395). Let d = r + -330\/553. Which is the nearest to w? (a) d (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence tg when two letters picked without replacement from {t: 1, g: 1, w: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let n be ((-116)\/(-145))\/((-2)\/(-10)). Which is the closest to 1? (a) n (b) 2\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence wbb when three letters picked without replacement from wbwllllwlwwbl?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the hth term of 369, 369, 371, 375, 381?\n\"Answer: h**2 - 3*h + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 54 - 49. Let j be 2 + (o + -2)\/(3\/2). Suppose c + 3*y - 36 = -2*y, j*c - 4*y = 240. Calculate the highest common factor of c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 2266 a factor of 4921772394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is 84370700 rounded to the nearest one hundred thousand?\nAnswer: 84400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 6525*a**2*h**3*x**2 - 2569*a**2*h**3 + a*h**3 - 106*a*h*x**2 + 3*a - 79*h*x + 13*x wrt a.\nAnswer: 13050*h**3*x**2 - 5138*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the dth term of -36, -58, -126, -264, -496, -846?\n\"Answer: -4*d**3 + d**2 + 3*d - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is five sixths of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 921*o - 917*o + 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the vth term of -1060870, -2121692, -3182502, -4243294, -5304062, -6364800, -7425502?\n\"Answer: v**3 - 1060829*v - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: ((-9220)\/11525)\/((112\/20)\/2)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let j(s) = 5*s**3 + 10*s**2. Let i be j(-2). Solve i = -3*c - 6*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b = 29 + -28.8. What is the closest to 2\/3 in b, 49, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-18)\/75*60\/(-18)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let z(n) = 6*n**3 + 57*n**2 + 39*n - 318. Let y(d) = 13*d + 7*d + 4*d - 4*d + 3*d**3 - 160 + 29*d**2. Let r(l) = -9*y(l) + 5*z(l). Factor r(b).\nAnswer: 3*(b - 2)*(b + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (7 - -7) + -7 - 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let k be (9\/6)\/((-27)\/36). Which is the third biggest value? (a) 5 (b) k (c) -0.42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (5\/(-2))\/((-25)\/(-40)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 13781, 12355, 8479, 929, -11519, -30089, -56005?\nAnswer: -90491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let o = -2 - -16. Let x(k) = -2*k + 6. Let g be x(1). Suppose -o = -g*y + 2. Solve 2*h - y*p + 6 = 0, 2 = -3*h + 4*p - 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -904 + 910. Solve -l + j = -1, 2*l + u*j - 3*j = 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((k*k*k*(k\/k**(2\/3))\/k)**(-44))**(7\/2) assuming k is positive.\nAnswer: k**(-1078\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Solve 191*w = 396*w - 195*w + 80 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -2003\/2 in 162, 13, -1\/8, 0.5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Is 30951019 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {x: 18, o: 1}. Give prob of sequence ox.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is -30551 (base 7) in base 11?\nAnswer: -5694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {l: 7, t: 9, z: 2, o: 1}. Give prob of picking 1 t and 1 l.\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-3)\/2*-2*1851\/(-16659).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.002215335738 to seven dps.\nAnswer: 0.0022153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 84*y**2 + 24602 - 24602.\nAnswer: 84*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 22370?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Sort -3, 2, -198, 0 in decreasing order.\nAnswer: 2, 0, -3, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: 4246643 divided by -9853\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is -5 - -12fd4ba?\nAnswer: 12fd4b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose t - 168 = -4*t - 2*r, 4*t - 140 = 4*r. Suppose -2*l = -t + 12. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -11325 take away 4?\nAnswer: -11329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is 740758.3 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let d(y) = -y**3 + 4*y**2 - 1. Give d(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -198, -191, -208, -261, -362, -523?\nAnswer: -756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -3 - -8. Let q = 1078 + -1075. Sort 1, x, q.\nAnswer: 1, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 10280\/2570*(-2)\/3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is -5 + (-5 - -15) + -1 + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*j = -3*j. Suppose 2*w = -6 - 0, -4*q + w + 23 = j. Suppose 0*t - q*t + 4925 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 136426694 at most 136426694?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Work out -0.11 * -9.\nAnswer: 0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 14144 and 3757?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let b be 5\/(((-21)\/(-6))\/(-7)). Find the common denominator of -57\/2 and -7*(-2)\/8*b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -11 + 43 + (18 - 33)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let q be 4\/14 + 519\/21. Suppose 23 = 4*b - q. Let k(p) = 5*p - 1. Let r be k(5). Calculate the highest common factor of r and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 1698 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Is 364414553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-10)\/18 + -7 + 260\/36.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -8*a + 4*a - 45 = -s, 0 = 3*s - a - 168. What is the smallest common multiple of s and 8?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 11955131?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -7*o + 99 = -4*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve v - 204724 + 204734 = r, 57 = 3*r - 6*v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 k and 2 w when three letters picked without replacement from {w: 13, d: 5, t: 1, k: 1}.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 i and 2 b when three letters picked without replacement from {x: 6, b: 3, i: 6}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 81 + 1.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -3 + (-4*sqrt(1088))**2 - (sqrt(1088) + 0)*-3.\nAnswer: 24*sqrt(17) + 17405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 604 + -603.8. Sort -56, r, -2.\nAnswer: -56, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -416*b + 557 = -7613 - 20602 - 5756 for b.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 71 - 68. Suppose m*x + 2 = x, -2*k + 5*x = -981. Let q = 699 - k. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p be 1\/(2\/(-4 + -118)). Suppose 4*u - 2*i - 220 = 914, -i = 3*u - 843. Let b = u + p. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 7 - 5. Suppose 6*y - 5*n + 25 = y, j*y = -n + 5. Solve -f + 5*f - l - 22 = 0, y = -5*l - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -5 = -6*z + 3*z - 4*p, -z + 10 = 3*p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is 3 + (-22)\/2 - (-651)\/93?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 429920085 is divided by 312.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Solve 2468*a + 102805 - 16425 = 0 for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-52593)\/(-564) - (113 - 22).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(g) = -3*g**2 + 1. Calculate f(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -1\/10 (c) -0.94 (d) 0.23 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -2\/5? (a) 1944 (b) 277 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 44054282 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Is 1258898 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 37 - 34. Let v be (20\/24)\/(x\/(-9)). Put -3, 3, v, 0.05 in decreasing order.\nAnswer: 3, 0.05, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 69 and 5543.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -207 + 212. What is the remainder when 12 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 9:55 AM and 4:37 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Is 1906000 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -21*c**2 + 3 - 32*c**2 + 60*c**2.\nAnswer: 7*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 1 + 24 - 26 + 208*x**2 + 1.\nAnswer: 208*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let u be ((-2)\/(-4))\/(1\/4). Let p be (3 + u)*(-12)\/(-15). Let c = p + 3. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -59, -184, -525, -1190, -2287, -3924?\nAnswer: -6209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let u be (5 + -3 - 2) + 0. Suppose -5*q - 67 + 1632 = u. What is the remainder when q is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 8150975617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 3 - 7. Let m(d) = 2*d**3 + 9*d**2 - 3*d - 9. Let t(a) = -a**3 - 4*a**2 + a + 4. Let p(y) = v*m(y) - 9*t(y). What is the second derivative of p(j) wrt j?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 3416383 to the power of 1\/2, to the nearest integer?\nAnswer: 1848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 148386.\nAnswer: 2, 3, 7, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -1 - -15. Let c = k - 8. Let b = 4256.4 + -4256.3. Sort 5, 0.5, b, c in increasing order.\nAnswer: b, 0.5, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -5, -5, 75, 277, 643, 1215?\nAnswer: 2035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-2 - 1 + 5)*(2*w - 2*w - w) + (0*w + 5*w - 4*w)*(3 - 2 + 0) + (-1 - 4 + 2)*(5*w + 15*w - 5*w).\nAnswer: -46*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Factor -2*k**2\/5 + 1346*k\/5 + 12276\/5.\nAnswer: -2*(k - 682)*(k + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let b(s) = -46*s - 409. Is 24 a factor of b(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 9 a factor of 179882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -0.1 in -2, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 48? (a) 1 (b) 2\/13 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 574*j**2 + 2 - 33*j**2 + 102*j**2 to h*j**2 + x + i*j and give h.\nAnswer: 643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the kth term of -10238457, -20476912, -30715367?\n\"Answer: -10238455*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 8ba (base 15) in base 13?\nAnswer: b8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Sum -6 and -2170588.\nAnswer: -2170594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -103\/133056 and 8\/508761.\nAnswer: 227924928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 569.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -22 = -3*j - 4*h, j - 4*h + 14 = -0*j. Suppose 0 = -3*i + 39 + 6. Let v = i + -11. Solve j*m = 4*a, -v*a - m = -2*m + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t(m) = -250*m**3 - 12*m**2 - 2*m + 9. Let n be t(5). What are the prime factors of (18\/15)\/(n\/7890 - -4)?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 83 divide 5473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Round 325743.94 to the nearest one hundred.\nAnswer: 325700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*s = -s + 5. Let j be 46\/14 + (-4)\/14. Suppose -2*i + 9 = j. Solve u + 18 = 5*o, s*u = -i*o - 7 + 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -440*m + 12430 = -9130 for m.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 172195560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-o + 5*o - o)*(400*o - 51*o - 6*o)*(4 + 3*o - 6 - 6*o) to f*o + d*o**2 + i + w*o**3 and give w.\nAnswer: -3087","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 5200756.\nAnswer: 2, 11, 19, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is 754 + -792 - (2 - (11 + 1))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Sum 15641 and 870427.\nAnswer: 886068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 16 + 39. Suppose 1 = 2*n + 9. Let o = 18 - n. Calculate the highest common factor of l and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -141 + 140.9. Which is the smallest value? (a) l (b) 0.5 (c) 3\/7 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 12 a factor of 13190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Express 1 + 28*q**3 - 4*q**2 + 0 - 26*q**3 - 8 in the form d*q**3 + a*q + o*q**2 + w and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let n(j) be the third derivative of -1\/15*j**6 - 1\/210*j**7 + 0 - 5\/12*j**4 + 0*j**3 + 0*j + 19\/60*j**5 + 90*j**2. Determine x so that n(x) = 0.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 13 + 0 + (-12 - (3 - (-5 - (4 + -56)))).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Solve -n**4\/2 + 838*n**3 + 16910*n**2 + 84800*n = 0 for n.\nAnswer: -10, 0, 1696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 8 = r + r. Suppose r*c - 10 = -5*o, -2*o + 0 = -2*c - 4. Let p(k) = 0 - 8*k + 4 - o*k - 3. Determine p(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 3, what is -20010221222222 - 10?\nAnswer: -20010222000002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -1\/4 (c) -0.2 (d) 2\/5 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 1932\/(-154) + (-18)\/(-33).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 4180 + 1128. List the prime factors of l.\nAnswer: 2, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*h - 43872 = 5*j - 14621, 48765 = 5*h + 5*j. Does 46 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let -8\/9*l - 2\/9*l**2 - 2\/3 = 0. What is l?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -14*q = -16*q + 144. Let v be (2 - (-72)\/(-33)) + q\/33. Solve v*p + 3*p = -5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: -5411+288759703\nAnswer: 288754292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let m(o) = -o**2. Let n(q) = -q**3 - 5*q**2 - 2*q. Suppose -2*x + 18 = x. Suppose 3*b = -3*s - 0*s, -3*s - x = -3*b. Calculate b*n(y) - 4*m(y).\nAnswer: -y**3 - y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the mth term of -27, -67, -107, -147, -187?\n\"Answer: -40*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -0.122 - 0.278. What is the second smallest value in w, 2\/3, 4, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*b - 2*q = -354, -q - 6 = q. Suppose -c = -4*c + 54. What is the greatest common factor of b and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide 586041900 by -195347300.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 7093.\nAnswer: 41, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Sum 45 and -1296.22323.\nAnswer: -1251.22323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let q(a) be the third derivative of 11*a**7\/210 + 7*a**5\/20 + 8951*a**3\/6 + 7656*a**2. Differentiate q(w) wrt w.\nAnswer: 44*w**3 + 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand ((1 - 5 + 5)*(-1 + 0 - 1) + 0 + 3 + 0)*(11 + 5*v - 11).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Find s such that -3*s**2 + 17907*s - 17904 = 0.\nAnswer: 1, 5968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Is 812863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: In base 5, what is 42 - 2012?\nAnswer: -1420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -36 = -m - 0. What is the highest common divisor of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 194304093.\nAnswer: 3, 61, 1061771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: (-92)\/8*(10 + (-30)\/40*8)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: 0.027498 times -0.5\nAnswer: -0.013749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the lowest common multiple of 2634 and ((-3)\/(-18))\/((-2)\/(-192)).\nAnswer: 21072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from yuum. Give prob of sequence my.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Put 4, -4, -1\/2 in ascending order.\nAnswer: -4, -1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let y(j) = j + 1. Let k be y(-1). Let c(s) = -s**2 + 2*s - 51. Let q be c(k). Let m = -28 - q. List the prime factors of m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the first derivative of -16*j**2 + 84380*j - 11250205?\nAnswer: -32*j + 84380","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} -{"text":"Question: Simplify ((-3 + sqrt(425)*2 + sqrt(425) - (2 + sqrt(425) + 1)) + -2 - 1*(sqrt(425) + 1 + 3)*-4)**2.\nAnswer: 480*sqrt(17) + 15364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Is 1217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 9*t = 3*t - 6. Calculate the least common multiple of (-45)\/t - (-8 + 6) and 5.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p(y) be the first derivative of 31*y**4\/4 - y**3 + 7*y**2\/2 - y - 33. Does 20 divide p(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 103 + -72. Suppose 23 = 3*w - u. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 3 + -14 + 25 + -4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Is 29874857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qpqpq.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 0 + 2. Let w be -4*(v + (-36)\/16)*5. Calculate the greatest common factor of 55 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred thousands digit of 39130925?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth root of 45454860 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 1\/3 (c) -1\/5 (d) -5\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Subtract 26045 from 141361.\nAnswer: 115316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the ath term of 8330, 33394, 75188, 133712?\n\"Answer: 8365*a**2 - 31*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let z be ((52\/(-10))\/(-1))\/((-318)\/795). Let n(t) = 4*t**3 - 17*t**2 + 4*t. Let k(a) = 2*a**3 - 8*a**2 + 2*a. Give z*k(i) + 6*n(i).\nAnswer: -2*i**3 + 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let m(k) = k**3 - 5*k**2 + 6*k + 6. What is the remainder when m(5) is divided by (5 - 36\/2)*1\/(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(p) be the third derivative of -p**6\/20 + p**5\/15 + 10*p**2. Find the third derivative of f(j) wrt j.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 60248526 and 458.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} -{"text":"Question: Let s(n) = 2*n. Let m(t) = -t + 1. Let j(d) = -d - 2. Suppose h = -5*q - 0*h - 7, 10 = -5*h. Let g(o) = q*j(o) - 2*m(o). What is g(s(i))?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from dakdkj. Give prob of sequence kkda.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -6? (a) -1\/4 (b) -0.2 (c) 2 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 91\/86 and -67\/8.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 5*k**4 - 66437*k**3 + k - 80140?\nAnswer: 60*k**2 - 398622*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 3:53 PM and 12:06 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Is 104630011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the rth term of -35183, -70365, -105545, -140723, -175899, -211073, -246245?\n\"Answer: r**2 - 35185*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Multiply 194 and 5.\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: -1001100000010110 (base 2) to base 7\nAnswer: -221340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Express 1729 - 66*i**3 - 1729 + i in the form t + q*i**3 + g*i + f*i**2 and give q.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let z(d) = -d**2. Let s(l) = -26*l**2. What is z(s(m))?\nAnswer: -676*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let x be -1 + 0 + 20\/4. Suppose x*h + d = -346, 4*d = -h - d - 77. Let v = -89 - h. Sort -4, v, -1 in decreasing order.\nAnswer: -1, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from nyynynynyyyyyy. What is prob of sequence yy?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -1475, -1259, -899, -395, 253, 1045, 1981?\nAnswer: 3061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let f(n) = 250*n - 7. Let a(z) = -z + 17. Let b be a(16). What are the prime factors of f(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g(d) = -2*d**2 - 36. Let p(t) be the second derivative of 11*t**3\/3 + 3*t - 210. Calculate g(p(k)).\nAnswer: -968*k**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 46 - 51. Sort 1, -2, y, 8 in descending order.\nAnswer: 8, 1, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -1937, -1906, -1875, -1844, -1813?\nAnswer: -1782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*t = -3*w + 17, 5*t + 46*w = 42*w + 32. Solve -5*l = -l + t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (r**9)**(-1\/66)*(r\/(r\/r**(7\/3)*r))**40 assuming r is positive.\nAnswer: r**(3511\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 6*u = 14*u - 15*u + 6888. What is the greatest common factor of u and 1599?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 6:49 AM and 7:56 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Is 3876 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (10 + 267\/(-27))*3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: 4 + 1 + 9 + -16 + 1 + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Round -5.32546944 to three dps.\nAnswer: -5.325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Is 185293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 45 + -136\/3. Let y be ((-1)\/(-15))\/((-5)\/(-30)). Which is the closest to y? (a) -1\/2 (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: -17 * -13546\nAnswer: 230282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let n be 24\/6*100\/2. Let s = n - 115. Let x = 48 + -31. Calculate the highest common factor of s and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((((w*w\/((w\/w**(-20)*w)\/w))\/w)\/((w*w**(-8)\/w)\/w*w))\/(w**(-12))**(-13\/4))**(7\/5) assuming w is positive.\nAnswer: w**(-357\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*o - 24 = -3*j, 0*o - 3*o = -j - 8. Let y = -5 - -9. Suppose -4 - 1 - y + o*u - u**2 + 6 = 0. What is u?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 542810291 to the nearest integer?\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -3*v + 5*h - 4 - 1, -2*v = -2*h + 2. Find d such that 0*d + v - 1\/5*d**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put 0, 2, -3, -8, 39, -264 in decreasing order.\nAnswer: 39, 2, 0, -3, -8, -264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let k(l) be the third derivative of l**7\/105 + l**6\/5 - 701*l**3\/3 + 42*l**2 - l. What is the first derivative of k(u) wrt u?\nAnswer: 8*u**3 + 72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 1111, 1059, 1013, 973, 939?\nAnswer: 911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Is 32 less than -258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let l(j) = -j**3 - 12*j**2 - 12*j + 9. Calculate the least common multiple of l(-11) and 88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (-320)\/224*(-336)\/180?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(q) be the third derivative of -271*q**5\/10 - 3653*q**4\/24 + 2844*q**2 + 3. What is the second derivative of j(x) wrt x?\nAnswer: -3252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w(r) be the second derivative of r**4\/6 + r**3\/3 + 2*r**2 + 3*r. Let a be w(6). What is the highest common divisor of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k be (-70)\/20*(-24)\/14. Suppose -k*b = -5*b. Is -2\/13 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -11\/14 + 277\/406. Let b = -3877853\/580 + 26745\/4. Let y = b - x. What is the third biggest value in y, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 14004 and 49997781.\nAnswer: 3501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: 0.15 * 174\nAnswer: 26.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Expand (5*l - l - 3*l)*(-232*l - 464*l - 612*l + 852*l).\nAnswer: -456*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 287 + -207. Suppose -6*c + 226 = -k. What is the remainder when 145 is divided by c?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 14, what is -1d21 + -3?\nAnswer: -1d24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3*z - 8 = -4*i, 19 = -3612*z + 3607*z + i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: 20270 divided by -5\nAnswer: -4054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: 2.1889*369\nAnswer: 807.7041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -0.1? (a) -1 (b) -13 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 15 and 155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let b = 23.734 - -1.102. Let o = 25 - b. Let u = 0.06 - o. Round u to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert 19.65588 centuries to millennia.\nAnswer: 1.965588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Is 4153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 70791987 = -4*s + 3*v + 224126622, -s + 5*v + 38333646 = 0. Suppose -5*k + 25666339 = -s. What is k rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -r = -8*j - 34, 506*j + 8 = 503*j - 2*r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: -2 + (-11 - -19) + -14\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 16 + -10. Let w(n) be the second derivative of 0 + n**3 + 4*n - 1\/12*n**4 - 7\/2*n**2. Determine w(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many decades are there in 3\/50 of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2 - 16 = -2*o - 3*u, -8 = -2*u. Let h(v) = 8*v. Does 12 divide h(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the xth term of -249, -1995, -6731, -15951, -31149, -53819, -85455?\n\"Answer: -249*x**3 - x**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let u(k) = 3*k + 26. Let n be u(-9). Let f be 1\/(n*3\/(-12)). Let d(p) = 0*p + p + 5*p - f*p. Let l(v) = 3*v. Determine l(d(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*g - 5*g = -14. Let r = -9 + g. Solve -r*c = -3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -5180 + 36259\/7. What is the nearest to f in -3, 3\/4, 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 990*h**3 + 49*h**3 - 142*h**3.\nAnswer: 897*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is -20974140 rounded to the nearest 100000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*q + 4*y = 3, -2*q + 3 + 12 = 3*y. Solve 12 = -q*c, 4*c + 4 = 2*a + c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -0.02 + 8.02. Let y = f - 8. Which is the biggest value? (a) y (b) -1\/3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(x) = x**2 - 6*x + 4. Let v be m(5). Put -3, 4, v in increasing order.\nAnswer: -3, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 7634 and 638?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Expand (23 - 4 + 21)*(h + 2*h - 2*h).\nAnswer: 40*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of ((-30)\/(-12) + 6 + -9)*1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-s**3 + 3*s**3 - 3*s**3)*(-2 + 11*s + 6 - 4).\nAnswer: -11*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 2*d - d - 2. Let r(j) be the first derivative of 3 + 15*j**2 + j**3 - 15*j**d - j**4. What is the third derivative of r(b) wrt b?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(f) = -14*f - 16 + 12*f**2 + 1 - 20*f - 7*f**2 - 14*f. Determine i(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: 323 or 324?\nAnswer: 324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let c = 888 + -744. Solve c - 138 = -r - 5*p, -5*r - 9 = 4*p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 1049840 divided by 2?\nAnswer: 524920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 0 + 0*n - 5 - 3*n.\nAnswer: -3*n - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 4:08 AM and 6:54 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 70 + 38. Let t = a + -215\/2. Let p = 2 - 1.9. What is the closest to 0 in 1, t, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 6*v - 162 = 3*v. Calculate the least common multiple of 10 and v.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*x + 3 = 23. Suppose 3*p - l = 6, -7*p + 10 = -2*p - 5*l. Suppose 0 = d - i - p, -d - 6 = -2*i - i. Solve -x*c - d = 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(a) = -13*a - 5. Let b be m(-5). Let u be 2\/(-11) + (-202)\/(-22). Let k be 3*6\/u*20. What is the highest common factor of b and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the difference between -1.05164 and 0.96153?\nAnswer: 2.01317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Are 94559 and 2174869\/23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -3580 + 3582. Suppose -5*l + 9 + 1 = 0. Suppose j - f*j = -l*j. Solve 0 = -j*q + q - 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.001253906534 rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let o(y) = 52*y**2 - 7*y + 6. Let n be o(3). Suppose 173 = -8*u + n. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -1\/3? (a) 0.3 (b) 7 (c) 0.2 (d) -1\/1523 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 100, 106, 126, 166, 232, 330, 466, 646?\nAnswer: 876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 21 + -22. Let h(i) = -11*i - 3. Let c be h(v). Solve c = -3*w + 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: 9 (base 15) to base 13\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 3*(4*sqrt(490))\/sqrt(5) + (2*(sqrt(216)*3)\/sqrt(3))**2.\nAnswer: 84*sqrt(2) + 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 7.06 + -0.06. Let k = d + -5. Which is the nearest to -1\/3? (a) -3 (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 11*q - 264 = 5*q. Let w = -46 + q. Let m = -5.6 + 6. Put w, m, 4 in decreasing order.\nAnswer: 4, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many seconds are there in seven fifteenths of a day?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let t(z) = 5*z**3 - 5*z + 1. Let q(l) = 4*l**3 - 6*l + 1. What is -6*q(p) + 7*t(p)?\nAnswer: 11*p**3 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is 1624f - 88?\nAnswer: 161c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -13\/17493 and -29\/539?\nAnswer: 192423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -1*110*1034\/(-2585).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred millions digit of 458898059?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -767 + 770.228. Let a = 0.072 + p. Let z = a + -3. Which is smaller: z or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many millennia are there in 3.743145 decades?\nAnswer: 0.03743145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 11 and 869.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let m(f) = f + 47. Let r(v) be the second derivative of -v**4\/6 - 109*v**2\/2 - 2*v. Let z(d) be the first derivative of r(d). Determine m(z(t)).\nAnswer: -4*t + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 2 c, 1 g, and 1 u when four letters picked without replacement from hgyguycc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 47 in -3, -1, 0.0209, -4?\nAnswer: 0.0209","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let x(p) = p - 5. Let i be x(5). Let v(c) = -c**2 + c. Let s be v(i). Find m, given that -24\/5*m**2 + 8\/5*m + 26\/5*m**3 - 12\/5*m**4 + 2\/5*m**5 + s = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l be -247*2 - (-8)\/2. Let x = 49 - 96. Let m = x - l. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: -575e (base 16) to base 15\nAnswer: -6961","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -1*((-1)\/3)\/((-66)\/2178).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(35)\/(sqrt(15)\/(2*sqrt(3)) - sqrt(5)) - 4*sqrt(1008)*2)*-1)**2 + 1 + 2.\nAnswer: 67231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 9:11 PM and 6:55 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {v: 1, r: 4, t: 3, q: 3, d: 3, n: 1}. What is prob of picking 2 t and 1 v?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Expand (5 - 5 + u)*(-2 + 2 - 2*u) - 3*u**2 + 3*u**2 - 2*u**2 + (-2*u**2 + 1 - 1)*(-3 - 1 + 5) + u**2 - u**2 + u**2 + 3*u**2 - u**2 + 0*u**2 - 1 + 1 + 4*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Solve 10*j - 5*j = -4*h - 13, -5*j + 3 = -4*h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is (2\/6 + (-5)\/(-21))\/((-116)\/812)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let x be 8\/(-6)*6\/(-4). Suppose -8*p = -3*p. Let q be (1 + (p - 1))\/2. Solve q*h - 5*h - 17 = 2*k, h + 1 = x*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s = 561190 + -45510. Round s to the nearest one thousand.\nAnswer: 516000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 27755 and 2555?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let t(k) = 227*k - 1778. Let g be t(8). What is the highest common divisor of 7258 and g?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: 86a6 (base 11) to base 10\nAnswer: 11490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Does 1111 divide 57512026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*f = -10*z + 14*z - 1348, 5*z + 2*f - 1694 = 0. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t(q) = 7*q**2 + 289*q + 87. Let p be t(-41). Solve 4*z - 7 = p*u + 5*z, 0 = 5*u + 3*z + 11 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(v) = -23*v. What is the units digit of i(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 96*i**3*u + 12*i**3 + i**2*u + i*u + 2*i + 2745 wrt i?\nAnswer: 576*i*u + 72*i + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let v be 90\/(-27)*(-36)\/10. Let s = v - 0. Let i = -317 - -314. Sort 5, s, i.\nAnswer: i, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s = -182\/27 - 403\/27. Calculate the common denominator of -31\/170 and s.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -2\/3? (a) -2\/5 (b) -18 (c) -27\/2 (d) 5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of (-3610)\/225 - (8 - 23) and -79\/2865.\nAnswer: 8595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in g**2 - g**2 - 127*g**3 - 78*g**3 - 42*g**3 + 23*g**3.\nAnswer: -224*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is (-1)\/(((-4)\/(-2))\/((-20)\/2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 44422 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*m + 3*n = 5, 0 = -103*n + 106*n - 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let y(v) = -483*v - 195616. What is y(-405)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -189 - 31 - 3*c + 5*c - 3*c - 143 + 9*c**2.\nAnswer: 9*c**2 - c - 363","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the qth term of 1422, 1404, 1376, 1332, 1266, 1172, 1044, 876?\n\"Answer: -q**3 + q**2 - 14*q + 1436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let r(l) = -8*l + 12. Calculate r(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the jth term of -441700, -883396, -1325092, -1766788?\n\"Answer: -441696*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let r be -2 - 0 - (-1 + -20). Suppose -4*i = x - r, -3 = -x - 4. Solve -25 = 3*u - 5*a, -u - 3*a + 20 = i for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 345.9 - 345.6817. Round g to 2 decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (((-15)\/5)\/1)\/(27\/(-6)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 0.1? (a) -5\/6 (b) 1\/8 (c) -7940 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 o, 1 d, and 1 l when three letters picked without replacement from {o: 7, l: 6, d: 2, e: 1, f: 1}?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*v = 5*i + 1115, 0*v - 1506 = -4*v - 3*i. Suppose 6*z + v = z. Let d be (12\/z)\/(2\/5). What is the closest to 2 in -0.3, d, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is 2158 + -2?\nAnswer: 2156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: -4 divided by -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-4)\/(-1)*(10\/(-135))\/((-688)\/106812).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Is 31303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: -149942 divided by 1898\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Solve -11*l - 534 = 21765*c - 21766*c, 3*c + 64 = -l for l.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -9048*b*f**5 + 2*b*f**4 - 10*b*f - 4*b + f + 1 wrt f?\nAnswer: -180960*b*f**3 + 24*b*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Does 31 divide 464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 1365.\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 156 is divided by 97.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -2596, -2522, -2446, -2368, -2288, -2206?\nAnswer: -2122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 14.977 - -0.023. Let n = -17 + l. What is the nearest to -1\/4 in n, -2\/3, 0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 q and 3 a when four letters picked without replacement from aqyyayayqqyyja.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -587 + -1.\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let y(t) = 40*t - 13. What are the prime factors of y(3)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 627 minutes after 6:09 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 8:03 AM and 2:28 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -746 + 748. Solve -12*x + u - 2 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the fifth smallest value in -0.04, -2, -1\/2, 0.5, -11793597?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 2\/7? (a) -1 (b) 0.6 (c) -73 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 207\/136 - 28\/17. What is the closest to 3\/5 in f, -1\/4, -5\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand -2*h + 0*h + 3*h + (852 - 852 + 14*h)*(0 + 1 + 0)*(-2 + 0 - 1) + 11*h - 5*h + 13*h.\nAnswer: -22*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 1887895*k*y**2 + 70*k*y - 25*k - y**2 + 2*y + 925 wrt y?\nAnswer: 3775790*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 7:29 AM and 9:24 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 240 and 11400.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 55*w**3 - 45*w**3 + 59*w**3 + (-w + 0*w + 0*w)*(w - w**2 - w) to the form q*w + f*w**3 + y + u*w**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let x be (-4)\/10 - (-4)\/10. Let k = 0.3 - 0.51. Let u = -0.09 + k. What is the nearest to x in u, -2\/5, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let 5*d**5 - 12365*d**4 - 99255*d**3 + 37105*d**2 + 272990*d - 198480 = 0. Calculate d.\nAnswer: -8, -2, 1, 2481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.65734t in nanograms?\nAnswer: 657340000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let a(o) be the third derivative of -1\/35*o**5 + 0*o**3 - 1\/245*o**7 + 0*o + 0 - 4*o**2 + 0*o**4 - 11\/420*o**6. Factor a(d).\nAnswer: -2*d**2*(d + 3)*(3*d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(r) = 2*r**2 + r + 3. Let j be i(-2). Let q(w) = -w**3 + 12*w**2 - 11*w - 14. List the prime factors of q(j).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(s) = -s**3 - 21*s**2 - 11*s + 49. What is the units digit of f(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Work out -11.6 * -0.1.\nAnswer: 1.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is 13\/4 of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*j + 0*l - l - 87 = 0, 4*j - 3*l = 93. Suppose -j*v = -26*v - 55. What is the closest to 2\/11 in -5, 1\/3, v, -0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c = 11\/14 + -2\/7. Let w(b) be the second derivative of -c*b**2 - 1\/12*b**4 + 0*b**3 - 2*b + 0. Differentiate w(f) wrt f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 5*q - 10 - 0. Suppose -z - 4 = -2*w, q*z = -3*w - 2*z + 6. Factor -w*b - 6*b + 31*b**2 - 35*b**2.\nAnswer: -4*b*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g(h) be the third derivative of -h**6\/120 - h**5\/15 - h**4\/12 + h**3\/3 + 37*h**2. Calculate g(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 432*m**2*n**3 - 2*m**2*n - 132*n**2 wrt n?\nAnswer: 2592*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 0 + (3 + sqrt(343))*4 - (sqrt(700) + (sqrt(700) - (sqrt(700)*-2 - sqrt(700))) - sqrt(700))\/(sqrt(20)\/sqrt(5)*4).\nAnswer: 12 + 23*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -5*t**2 - 10*t**2 - 18*t**2.\nAnswer: -33*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*o + 528 = 12. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the cth term of -50, -54, -66, -92, -138, -210, -314, -456?\n\"Answer: -c**3 + 2*c**2 - 3*c - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 3:49 AM and 2:53 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the seventh root of 1986 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 c and 2 z when three letters picked without replacement from {c: 4, z: 4, t: 1, j: 5, a: 5}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is the second smallest value in -0.03, 150\/4847, 2\/9?\nAnswer: 150\/4847","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 2021*c**5 + c**4 - 1178*c**3 - 320242572*c.\nAnswer: 40420*c**3 + 12*c**2 - 7068*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let u(y) = -y**3 + y + 1. Let i(t) = -20*t**3 + 12. Let v be (-2)\/((-3 + 1)*-1). Let h(q) = v*i(q) + 12*u(q). Find the second derivative of h(g) wrt g.\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 8 + -11 + (19 + -78 - -1).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let t(u) = -u**3 + 50*u**2 - 60*u + 269. Is t(41) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 163539127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let q be (10 + -16)\/(5\/(-3) - -1). Solve -q*x = -13*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 14, what is -2a59 + -23?\nAnswer: -2a7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Is 240107599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: -12080 * -0.023\nAnswer: 277.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 r and 2 k when three letters picked without replacement from {k: 3, r: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Is -0.3 at most -2226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let k be (3\/(-9)*0)\/(-2). What is the third derivative of 3*l**2 + 0*l**4 + k*l**4 - l**6 + 5*l**6 wrt l?\nAnswer: 480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor -f**3\/3 - 3386224*f**2\/3 - 955541619439*f + 1911087753846.\nAnswer: -(f - 2)*(f + 1693113)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((sqrt(272) - sqrt(272)*-1) + -2 - (sqrt(272) + -2)*6) + 4 - (-1 + -1 + sqrt(272) - -3*sqrt(272)*-4))**2.\nAnswer: 896*sqrt(17) + 13584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 2 n and 2 m when four letters picked without replacement from tmnnnmn?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Put -3, 12139, -13\/4, -1\/2, 127 in increasing order.\nAnswer: -13\/4, -3, -1\/2, 127, 12139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*j + 50 = 2*j. Calculate the highest common factor of j and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 49\/5 of a second in milliseconds?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 36\/715 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is -1235 (base 6) in base 2?\nAnswer: -100110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: -2\/8212573 or 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Convert -333100 (base 4) to base 2.\nAnswer: -111111010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 20001374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-38)\/798*(-3)\/1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from rxxmmmrxxmmkmm. What is prob of picking 1 x and 1 k?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Is 42 > -7988?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of ((-4)\/3)\/((-140)\/63)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(h) = h**2 + 4*h + 2. Let g be n(-2). Let z = -19523.6 - -19524. Which is the smallest value? (a) 2 (b) 5 (c) g (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 267*z**2 - z + z - 2268*z**2 + 540*z**2.\nAnswer: -1461*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let r be 8\/(-14)*-38*(-1)\/(-8). Which is greater: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 52*r = 49*r + 63. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(r) = 470*r**3 - 11*r**2 + 11*r - 439. Let o(s) = 2*s**3 + s**2 - s. Let c(i) = -22*o(i) - 2*y(i). What is the derivative of c(m) wrt m?\nAnswer: -2952*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -152, -143, -128, -107, -80?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 147\/(-98)*(-70)\/15*-1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*y - 520 = -124. Let w = -5680 - -5675. Sort y, 0, w in decreasing order.\nAnswer: 0, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (12 - ((1 - -14) + 60 + -73)) + -33.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*p + 4*v + 16 = 0, -3*v = -p - 8*v - 26. Let b be (1 + 0 + p)\/(-3). Is b at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the cth term of -90040, -90044, -90048?\n\"Answer: -4*c - 90036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 41 is divided by ((-13)\/(-2))\/((-5)\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -495*j + 887*j + 308*j + 1133*j + 75153 for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((-9)\/(-18))\/(-1)*4*(-15)\/555.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 2*g**3*y**2 + 344605*g**3*y + 844*g**2*y**2 + 1463*g**2*y wrt g?\nAnswer: 12*y**2 + 2067630*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the rth term of -5735, -10614, -14635, -17798, -20103?\n\"Answer: 429*r**2 - 6166*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Put 5, -1, -2, 3 in decreasing order.\nAnswer: 5, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of 50240192*w**3 - 38*w**2 + 325366*w.\nAnswer: 301441152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (36\/36)\/(14\/10)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Solve -10*d**2\/7 + 32*d\/7 - 6\/7 = 0.\nAnswer: 1\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second biggest value? (a) 4 (b) 3 (c) 3039\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Solve -166*r + 576*r = -628*r - 7266 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 12*s - 66 = -30. What is the fourth biggest value in s, 0.8, -1\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 2054, 2053, 2052, 2051, 2050, 2049?\nAnswer: 2048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let b be (80\/100)\/(3 + (-116)\/40). Solve 10*z - 90 = -b*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 8*m + 11*m + 524*m**2 + 91 - 21*m + 658*m**2.\nAnswer: 1182*m**2 - 2*m + 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -15 - -17. Let w = 34 - 34.1. Is w less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 605095 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 91 - 75 = 16*g. Is 25 a factor of g\/1*(6\/(-3) + 777)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 14675940 or 14675922?\nAnswer: 14675922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 1019 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let c = 494 - -1272. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Total of -0.07925 and 8384111903.\nAnswer: 8384111902.92075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 68224 and 926848?\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is -16540033 divided by -3?\nAnswer: 16540033\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4*o - f = -8, 5*f = -2*o - 99 + 103 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Solve -1219 + 1405 = -31*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -8 - (6 + -4 + -1 + (9 - 9)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let s be ((-207)\/63 - 2) + 4\/14. Let x be 6*-3*s\/60. What is the smallest value in 5, 0.39, x, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 38891267?\nAnswer: 31, 1254557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: -2120022000100 (base 3) to base 6\nAnswer: -45122400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of 83\/48 + 4\/(-6) and -3 + (-142)\/(-24) + (-1)\/1?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-4 + 3)*-18 - (-534 + 571).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 29194*n + 3816 = 28240*n. Let r = -0.1 - -0.2. What is the biggest value in -0.09, 0, r, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(f) = -20*f**2 - 54*f + 223. Give m(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: (-2 - -3) + -18 + -11 + 22 + -1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0*k + 35 = 7*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*j = q - 19 - 1, 4*q - 60 = 3*j. Let a be 28\/5*150\/q*1. Round a to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -6*(((sqrt(567) + 0)*-5 + sqrt(567) + (-3*(sqrt(567) + 0) - sqrt(567)))**2 + (sqrt(567) + 1 + 1)**2 + (-3 + sqrt(567)*1 - sqrt(567))).\nAnswer: -221136 - 216*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let -5*k**2 + 5125*k + 56980 = 0. Calculate k.\nAnswer: -11, 1036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let o(p) = -34*p**3 - 30*p**2 + 18*p - 6. Let d(q) = -12*q**3 - 10*q**2 + 6*q - 2. Give -14*d(r) + 5*o(r).\nAnswer: -2*r**3 - 10*r**2 + 6*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let c(u) = -1084*u - 25917. Calculate c(-24).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Is 5819327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: -102a3a8 (base 11) to base 12\nAnswer: -736176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is 532 minutes after 1:40 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -2*z**5 + 7*z**4 + 970*z**3 + 76324*z**2 wrt z?\nAnswer: -120*z**2 + 168*z + 5820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -257587.0933 - -257603. Let n = 17 + -1.1. Let i = u - n. Round i to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: -6 + 3 + (1 + 1 - -1) + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 0.1 in -0.3, 0, 2\/13, -0.23?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the dth term of -30549, -30594, -30617, -30618?\n\"Answer: 11*d**2 - 78*d - 30482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let z be 320\/(-48) - (-6)\/1. What is the closest to -0.1 in -1, -5, z, -168?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -38\/7 - -221\/42. Let a = 0.03 + 0.47. Sort 1\/7, v, a in descending order.\nAnswer: a, 1\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express 24*d**3 - 2*d - 6 + 15*d**3 + 548*d**2 - 547*d**2 + 0 in the form j*d**3 + m*d + p + s*d**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is 81 divided by -330467?\nAnswer: -81\/330467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -280 + 295. What is the remainder when 177 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -162*d - 38*d - 38*d + 2142 = 0 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is 1311042 (base 6) in base 16?\nAnswer: 11762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -2*o**3 + 49735*o**2 - 24828*o**2 - 24794*o**2.\nAnswer: -2*o**3 + 113*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let c = 51.875 + 0.125. Let h = c - 26. Let b = h - 25.87. What is b rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 2538090601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -8 + 12 + 9 + 4 - 3*v**3 - 17.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -1*(-4 + (((sqrt(156) + 2*sqrt(156)*6 - sqrt(156)) + sqrt(156) - sqrt(156)) + sqrt(156) + 3*-1*sqrt(156))\/(3*sqrt(12)*1*3))*3.\nAnswer: -10*sqrt(13)\/3 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the wth term of -295022, -585881, -876738, -1167593, -1458446, -1749297?\n\"Answer: w**2 - 290862*w - 4161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from ommwjwdijwiommi. Give prob of sequence mwwj.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of 83\/368 and -16 + (-17)\/((-1904)\/1842)?\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h(y) = -y**2 + 5*y. Let s(u) = -u**2 + 11*u + 1. Let f = -5398 + 5396. Determine f*s(q) + 5*h(q).\nAnswer: -3*q**2 + 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: -189 divided by 33\nAnswer: -63\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let r(g) = 6*g. Let l(c) = 2628*c. Determine l(r(q)).\nAnswer: 15768*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let p(v) = -v**3 + 15*v**2 - 11*v. Let r be p(14). Let k be r\/(-12) + 6\/(-4). Let s be -1 + k\/(40\/12). Sort s, 2\/9, -1.\nAnswer: s, -1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 3614 and 13483?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.133844398 rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Solve -484*c + 817 = -441*c for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 119401.\nAnswer: 139, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*m + z + 1 = 0, -4*m - 5*z = -2 - 4. Let d(u) = 5*u**2 - 4*u - 3. What is the remainder when d(-3) is divided by (-41)\/3*m + (-24)\/(-72)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -320799*d**3 - 359650*d wrt d?\nAnswer: -1924794*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: In base 4, what is 1133 + 12100?\nAnswer: 13233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let o(h) = 21*h - 4. Let n(s) = 20*s - 5. Let w(f) = 87*f + 691. Let k be w(-8). Give k*n(q) + 6*o(q).\nAnswer: 26*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the second biggest value in 5, -86, -2\/267, -1?\nAnswer: -2\/267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} -{"text":"Question: Let b = -2707 + 2707.2. Let h = 4 + -4. Sort 6\/7, b, -2, h in decreasing order.\nAnswer: 6\/7, b, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many seconds are there in 1\/4 of a minute?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is i in 2*i**2\/5 - 368*i\/5 + 16928\/5 = 0?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 73354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the ith term of -26, 56, 150, 274, 446, 684, 1006?\n\"Answer: 3*i**3 - 12*i**2 + 97*i - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*o - 275 = -5*s, -4*s - o = -4*o - 241. What is the remainder when s is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the first derivative of -496600*a**3 - a**2 + 6*a - 2580626 wrt a?\nAnswer: -1489800*a**2 - 2*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -318 (c) -0.2 (d) -2\/37 (e) 2.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let u(d) = 5*d**3 - 49*d**2 - 9*d + 7. Let z be u(10). List the prime factors of 28*z*(2 + -1).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort -1170814, -1\/7, 9 in increasing order.\nAnswer: -1170814, -1\/7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the th term of -523, -524, -527, -532, -539, -548, -559?\n\"Answer: -b**2 + 2*b - 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-1 + 1 - 2*b)*(-120 - 360 - 43 - 48) to the form q*b + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is (153 - 120) + (2 - (1 - 5)) + -16?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 3650012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of 83*k**4 - 3*k**3 + 2*k**2 - 116.\nAnswer: 1992*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Sort 7, -86, 28, -136, -6 in descending order.\nAnswer: 28, 7, -6, -86, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let b be 8 + 1*(-4 + 5). What is the highest common divisor of b and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 625\/35 + 54\/(-63).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(z) = 27*z**2 - z + 3. Let a be l(3). Suppose 15*o + 48 = 11*o. Is o\/(-42) + a\/7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 17 + -11. Solve -4*l + 5 = -5*q, -36 = 5*q + l - u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 13.1 - -2.9. Let g = d - 15.999921. What is g rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 8301213491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is -5346056 divided by 6?\nAnswer: -2673028\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 12*g**2 - 3*g**3 - 3 + 3 + g**3 - 10*g**2 + 57 + 0*g**2.\nAnswer: -2*g**3 + 2*g**2 + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-1280 + 1280 + 84*p)*(4*p - 4*p + 2*p + (0*p - 5*p + 2*p)*(3 - 4 + 3) + p - 5*p + 3*p) to m*p**2 + u*p + a and give m.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Is 79 at least as big as -149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is 53349 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (4 + (5*(5*sqrt(240)\/sqrt(4))\/(sqrt(12) + (sqrt(12) - (sqrt(1728) - (sqrt(1728) + sqrt(1728)*-1) - sqrt(12)))))**2 + 1)*-6.\nAnswer: -7060\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 2 b, 1 q, and 1 p when four letters picked without replacement from {w: 2, q: 1, a: 1, p: 5, h: 1, b: 3}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 400*b**2 + 4*b - 7.\nAnswer: 800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 4596?\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -56 + 278\/5. Suppose -y - 12 = -2*y. Suppose y = t + 3*t. What is the nearest to a in 0.5, t, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(a) = -3*a**3 - 22*a**2 - 96*a - 56. Give y(-4).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let g(i) = 11*i - 14. Let w(t) = -54*t + 74. Let v(p) = -22*g(p) - 4*w(p). Let s(r) = 9*r - 4. What is 17*s(l) + 6*v(l)?\nAnswer: -3*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Solve 2830 = 11*g + 133*g - 3012 - 10286 for g.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from {j: 1, d: 2, y: 1, b: 1, h: 1, q: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Solve -21*c - 4 = 17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: In base 6, what is 34001 + -105320?\nAnswer: -31315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred thousands digit of 4170770691?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -5*n**3 + 10559*n**2 + 1418*n - 8 wrt n?\nAnswer: -30*n + 21118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -425 + 5*b + 425.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of ((-5)\/6 - (-391)\/345)\/((-6)\/(-30))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -13816, -55297, -124486, -221431, -346180?\nAnswer: -498781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Work out 0.0762 - 167.3.\nAnswer: -167.2238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Does 5864 divide 136830576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of 2769*s**3 + 1174*s**2.\nAnswer: 16614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 290 - 135. Let r = 251 - o. What is the remainder when r is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -68\/183 and 49\/305.\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 3*t - 10 - 44. Suppose -5*s = -3*s - t. Solve -4*a = -s*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 0? (a) -2 (b) 0.4 (c) 2\/3 (d) -1240 (e) 209\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 1036 and 93388.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 1\/(10\/4)*(-22 - -17).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -125\/6? (a) -94 (b) 1\/4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the second smallest value in -2\/15, 4, 5, -7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(60) + sqrt(60) + -5*sqrt(120)\/sqrt(2) + -5*-3*sqrt(60))\/(sqrt(36)\/(sqrt(3) - sqrt(12)) + sqrt(588)*-4).\nAnswer: -12*sqrt(5)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Express (-280 + 269*q + 280)*(4*q**2 - 4*q**2 + q**2)*(1 - 1 - 2*q) - 4*q**4 + 0*q**3 + 0*q**3 in the form d + c*q**4 + p*q**2 + o*q**3 + s*q and give c.\nAnswer: -542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} -{"text":"Question: Let h = 15 - 11. Suppose h*n - 6 = n. What is the smallest common multiple of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 12 and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -10 - -6. Let z be ((-4)\/(-10))\/(a\/40). Let n be (4\/(-6)*3)\/(6\/9). Sort 4, n, z.\nAnswer: z, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round -135586033.8 to the nearest 1000000.\nAnswer: -136000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is 631 minutes before 9:52 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 61350, 61786, 62222, 62658, 63094, 63530?\nAnswer: 63966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (5 - (19 - -2)) + 25.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*w + 6*w = 2*f + 12, w - 4 = -2*f. Let m be (-4)\/(-2) + (w - 3). Let j be (-4)\/(-18) - (-2600)\/936. Solve -q - 7 = -m*r - 0, -j*r + 2 = 4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r be (-1 - -1)*1\/2. Let d be 18540\/(-27398) + (-1 - (-63)\/57). What is the third biggest value in 5, r, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 160675 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the th term of -78464, -156810, -235156, -313502, -391848?\n\"Answer: -78346*b - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let n(l) be the second derivative of l**3 + 18*l + 0 - 1\/12*l**4 + 1\/2*l**2. What is n(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -4768\/5 + 14324\/15. Factor -2\/3*v**3 - 4\/3 + 2\/3*v + p*v**2.\nAnswer: -2*(v - 2)*(v - 1)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -3*q + 48 + 48. Let p(c) be the first derivative of -c**3\/3 + 6*c**2 - 15*c - 5. What is the remainder when q is divided by p(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -282391.5856 + 31?\nAnswer: -282360.5856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Round 53910.73362 to the nearest ten.\nAnswer: 53910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Does 6 divide 642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Convert 1202012 (base 3) to base 10.\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 3918516052?\nAnswer: 2, 11, 89057183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let n be 4\/(-5)*(20\/(-8))\/1. Let x(f) = -1157*f - n*f**2 - 4 + 1154*f - 4*f**2. Let r(k) = -11*k**2 - 5*k - 7. What is 4*r(y) - 7*x(y)?\nAnswer: -2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -1 - 7 = -2*c. What is the greatest common factor of c and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 1270 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.1196 times 2.2?\nAnswer: -0.26312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let k(w) = 5*w**2 + 7*w + 9. Let i(s) = s**2 + s + 1. Let f(t) = 2*t**3 + 8*t**2 - 8*t + 4. Let p be f(-5). Give p*i(q) + k(q).\nAnswer: -q**2 + q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: 13 divided by -5004\nAnswer: -13\/5004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 17 = 4*m + 1. Is m - (-2)\/(2\/555) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 n and 2 l when three letters picked without replacement from {l: 3, n: 3, v: 12}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -97 + 99. Suppose 5*g = 2*m + 7, 2*g + 2*m - m = 1. Let j be (g + 15\/(-10))*p. Sort 0, j, -3 in increasing order.\nAnswer: -3, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 3 y and 1 i when four letters picked without replacement from {a: 1, i: 6, y: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is the third smallest value in 150, -1\/5, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the ninth root of 517069 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 0? (a) -2 (b) -0.04 (c) -0.4 (d) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let q(t) = 8*t. Let a(w) = 3 + 3*w - 3 - 4*w. Calculate a(q(u)).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Add 4.9 and 262.3.\nAnswer: 267.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*a = -u + 7, -5*u = a - 3*u - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 6199 is divided by 292?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 16 = p + 3*p. Let c = -15 - -21. Which is greater: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 621 minutes before 6:00 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} -{"text":"Question: Express 0*t + 6*t - 4*t + 0*t as o + n*t and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*j = -3*f - 323, -5*f + 48 = j - 11. Let z = j + 19. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Determine w so that w**2\/2 - 10*w + 19\/2 = 0.\nAnswer: 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Is 6361478987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -11? (a) 2\/3 (b) -2\/35 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 96756?\nAnswer: 2, 3, 11, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let x(w) = 17*w**2 + 2*w - 4. Give x(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let d(p) = -p**3 + 10*p**2 + 9. Let b be d(10). Let m be 0 + 0 + b + -7. Solve -x = m*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 162*t - 326*t + 161*t - f = -26, 3*t + 14*f = 247 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let j(y) = 5096*y - 3083041. What is j(605)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify sqrt(45)*-6*4 - (((sqrt(135)*3)\/sqrt(9) - sqrt(15))\/sqrt(3))**2.\nAnswer: -72*sqrt(5) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 114 and 1767.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is -2697916 (base 10) in base 15?\nAnswer: -3845b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let f(y) = y + 4. Let j be (-8)\/12 - 8\/(-3). Let r(z) = -2*z**2 + z + 1. Let b be r(j). Let t be f(b). Put 0.1, 1\/4, t in descending order.\nAnswer: 1\/4, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -37 take away -2554?\nAnswer: 2517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 178 is divided by 143.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Sort 0, -19, 12, 4, -5, -4, 46 in decreasing order.\nAnswer: 46, 12, 4, 0, -4, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (f**0)**(-25\/3)*f**(1\/2)\/(f*f*f**6) assuming f is positive.\nAnswer: f**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*z = 3*z - 8. Let p = z + 6. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 166301?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-5*(2*2*sqrt(500)*3 + 3 + (-1 + -1 + sqrt(500) - (sqrt(500) - -5*((sqrt(500)*-1 - sqrt(500)) + sqrt(500)))) + -3))**2.\nAnswer: -17000*sqrt(5) + 3612600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 74290*0.1.\nAnswer: 7429","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} -{"text":"Question: Multiply -0.02 and 2075.3.\nAnswer: -41.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 2.1 + -2. Let y = -2 + 1. Let q = y + -1. Which is the nearest to v? (a) -2\/7 (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (t - 3*t + 4*t + (-2*t + 0*t + 3*t)*(-2 - 2 + 0))*(2 + 5 - 5).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*a = a + 230. Let b = -32 - a. Suppose 0 = -2*f + 10, -p + b = 3*f - 51. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -20.5 + 21. Which is the closest to 0? (a) q (b) 2\/19 (c) -0.4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 1659*a + 177 + 7929*a - 177.\nAnswer: 9588*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -11*t + 812 = 3*t. Is (835\/2)\/(29\/t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(y) = 58*y + 64. Let k(c) = -19*c - 21. Let b(s) = 2*f(s) + 7*k(s). What is the derivative of b(w) wrt w?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(x) = -3*x. Let k(v) be the third derivative of v**5\/20 - 3*v**2. Determine o(k(b)).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -9 - -25. Let t be a\/12 + (3 - 33\/9). Sort t, -4, 2\/11 in decreasing order.\nAnswer: t, 2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the lowest common multiple of 13042242 and 5796552?\nAnswer: 52168968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 8 - 3. Let b(c) be the second derivative of 0 + 1\/2*c**2 + c + 1\/5*c**t + 1\/6*c**4 - 1\/3*c**3. Determine b(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 2108995392 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 35911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: In base 4, what is 3012 + -30?\nAnswer: 2322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the eighth root of 6152 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -21 + 34. Let o be (9\/(-6))\/((-9)\/(-120)). Let z = -16 - o. Solve -3*t - r = -v, -r + z = -t + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the distance between -0.4 and -2818818013?\nAnswer: 2818818012.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Product of 653 and -0.37.\nAnswer: -241.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let v(j) = -2*j - 3. Let g be v(-6). Let q be (12\/g)\/(4\/18). Let d = q - 2. Solve 3 = -d*s + 5*u + 28, -7 = -2*s - 3*u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: 7.3*-0.5\nAnswer: -3.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 6*g - 23 - 37 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 17511 + -17259. Solve 0*u = 84*u - x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.0000754402 rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -58 + 62. Let j be (1250\/u)\/(6\/106368). Round j to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(d) = -d**3 - 12*d**2 + d - 8. Let g be r(-12). Let j = g + 19. Is 59 + (1 + j)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence aii when three letters picked without replacement from {i: 9, j: 1, a: 10}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Express (0*q - q + 0*q)*(-3*q**2 + 3*q**2 + q**2) - 175*q**2 + 175*q**2 - 201*q**3 in the form c + d*q**2 + i*q + b*q**3 and give b.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let y(n) = -n**2 - 9*n - 8. Let a be y(-8). Suppose -9*u - 36 = -a*u. Sort 4, u, -6.\nAnswer: -6, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence ny when two letters picked without replacement from {y: 1, i: 6, n: 2, o: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Express 15 - 13 + 2142*a**3 + a**2 - 567*a**3 in the form s*a + i + g*a**3 + q*a**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let a be (8 - 1)\/((-1)\/28*4). Let v = a - -115. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j be 4\/(-6)*-5*-3. Let s(v) be the first derivative of v**3\/3 + 7*v**2\/2 - 24*v + 13971. Determine s(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 150298?\nAnswer: 2, 75149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the lowest common multiple of 256 and 9404.\nAnswer: 601856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 212 + -124. Suppose -z + 3 + 58 = 0. Let s = d - z. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*n + 56 = -73. Suppose 0 = -3*m + n - 40. Calculate the lowest common multiple of m and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 5784259*v**2 - 5784259*v**2 - 40*v**3 + 54*v**3 + 57*v**3.\nAnswer: 71*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is -5 plus 396?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let j(q) = q + 25. Let z be j(-15). Let l be 3\/(-2) + 2\/(-4). Let i be (-3 + 22\/z)\/l. What is the smallest value in i, -0.5, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round -199059.26 to the nearest one hundred.\nAnswer: -199100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let f(p) = 6*p**2 - 3*p - 3. Let t be (-3)\/4 - ((-531)\/36 - 3). Suppose u = 4*s + t, -4*u - 44 + 7 = 5*s. Let b(q) = -6*q**2 + 4*q + 4. Give u*b(r) - 4*f(r).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (2 - -28 - 17) + -75 + -3 + -8?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 64272 and 44610124.\nAnswer: 5356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the second biggest value in 0.1, 98\/9, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -3758, -7579, -11470, -15437, -19486?\nAnswer: -23623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -518 - -522. Solve -q = r - m - m, 0 = -3*r - 3*m + 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 2 + -3 + 3 + (184 - 192) + 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third biggest value? (a) 25\/12 (b) 3 (c) 176\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: (832\/2912)\/(-4*1\/(-49))\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Convert 14434432 (base 5) to base 4.\nAnswer: 211333201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*v = 6 - 26. Suppose 2*m = 3*w - 13, -w + v = 2*m - 3. Let a be -1 + 2 + 2 + -6. Sort a, m, 5.\nAnswer: a, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of 26.207 and -0.042?\nAnswer: -1.100694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Determine w, given that 3*w**2 + 49593*w = 0.\nAnswer: -16531, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let h(k) be the second derivative of -k**3\/6 - 11*k. Let x(z) = 2*z**2. What is h(x(t))?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 98\/(-9) + ((-114)\/54 - -2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let i = -48 + 52. Suppose -i = -3*m + 7*m. Let n = 0.1 + 0.1. Which is the third smallest value? (a) m (b) 4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 120 - 132. Let p be (-51)\/k - (-20)\/(-16). Solve 2*c + 25 = -5*l, -2*l - 9 = -p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(r) = 10*r + 63. Let k be o(-6). What is the third derivative of 221*g**3 - 160*g**k - g**2 - g**2 + 17 wrt g?\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: 0.6085+27489352\nAnswer: 27489352.6085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -17*x + 76 - 60 - 23 - 8*x**3 to z + u*x**2 + j*x**3 + f*x and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.0000069011 to 7 dps.\nAnswer: 0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of 94\/(-24) + (-1 - -2) and 67\/(-20) - (-28)\/7?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is -2644611 at most -2644678?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-4 + 1 + 2)*(109*q - 207*q + 142*q) to the form p + w*q and give w.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let t(k) = k**2 - k - 1. Let a(l) = -12*l**2 - 12*l - 9. Give -a(u) + 9*t(u).\nAnswer: 21*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let m(j) be the first derivative of -2*j**5\/25 + 4*j**3\/15 - 2*j\/5 + 2. Suppose m(w) = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Are -8 and -27 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let i be (-3)\/5*4\/3. Let h = -6.5 - -2.9. Let p = h + -1.4. What is the second biggest value in i, p, 2\/15?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*f + 7 = 3*g - 2*g, -4*g - 3*f = -6. Suppose -4*o + 405 + 357 = d, -4*o = g*d - 758. Calculate the remainder when o is divided by 50.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 2147309951 to the nearest integer?\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*y - 4*p = -1803 - 1989, -p = -y + 942. Solve y*u = 944*u + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((-36)\/180)\/(1\/15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let p be 15\/(-5) - -6 - 3*-1. Let z(i) = 2*i**3 - 13*i**2 + 8*i - 9. Let q be z(p). Solve -2*w + q = -1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose u + 2*u = 18. Let j be (-4)\/(u\/(9\/3)). List the prime factors of j\/11 - 844\/(-44).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(u) = -2*u**2 - 30*u - 3. Let y be b(-14). Suppose -5*g + 5 = -y. Solve f + g = 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (7 - 3*w - 7)*(10 - 1 - 6 + (0 - 3 + 2)*(5 + 2 - 5))*(1 - 4 - 4).\nAnswer: 21*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -1\/8 and 67\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 1354752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let w(s) = 2*s + 119. Give w(-37).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let d = -1426 + 1427. Is d less than or equal to -249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort 2579, 63, -3, 4, 2 in increasing order.\nAnswer: -3, 2, 4, 63, 2579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 2164557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let u(t) = t**2 - 17*t + 73. What are the prime factors of u(-11)?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -287 - -291. Let c be 21\/6 - (-2)\/(-4). Suppose y*p - 63 = -m + 41, -3*m = c*p - 87. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify sqrt(18)\/(sqrt(600)*-1) + 3.\nAnswer: -sqrt(3)\/10 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 2:12 PM and 7:08 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Convert 0.8504838 millennia to decades.\nAnswer: 85.04838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: In base 8, what is -51171 - -5?\nAnswer: -51164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let v(t) = 4*t**2 + t - 3. Calculate v(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let o(w) be the second derivative of -w**5\/20 - 5*w**4\/12 - 5*w**3\/6 - 5*w**2\/2 - 2*w. Let d(q) = -2*q**3 - 8*q**2 - 8*q - 8. Give 5*d(h) - 8*o(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the gth term of 6478, 12959, 19440?\n\"Answer: 6481*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.6808074 millimeters in micrometers?\nAnswer: 680.8074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 5309640 is divided by 581?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of (198\/225)\/(168\/595) and 34\/9.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(g) = 2805*g**2. Let v(t) be the first derivative of t**2\/2 - 2011. Determine v(c(q)).\nAnswer: 2805*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.2 times -564.888?\nAnswer: -112.9776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: 1\/((-8)\/12)*(-90)\/27\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let j = -7 + 9. Solve j*s = -2*s + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -616791, -616795, -616801, -616809?\nAnswer: -616819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 7 + 92\/(-12) + 1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -4*i - 0*i + 36. Let z = -6 + i. Solve 2*j + 24 = 4*m + 4, -j + z*m = 13 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (5 + -3 - ((-782)\/(-221) + -2 + 2))*1.\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} -{"text":"Question: Solve 1765*t - 87180 = 16295*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(243) - (0 + sqrt(243) - sqrt(243))) + 1)**2 + sqrt(576)\/sqrt(3).\nAnswer: 26*sqrt(3) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let r(o) = o**3 - 7*o**2 + 6*o - 3. Calculate r(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let d(r) = -r**3 - 12*r**2 + 15*r + 19. Suppose 252*n + 44 = 256*n. Suppose -3*t - 11*j - 59 = -7*j, n = -2*t + 3*j. What is d(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 404 minutes after 3:44 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the millions digit of 11692693?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 1\/3 in 0.2, 6, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let p be 504\/3*11\/(-22)*(-18)\/64. Is 24 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -40 + (-26 - -75) - (-1 + 8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Factor 5*s**3 + 530*s**2 + 2525*s.\nAnswer: 5*s*(s + 5)*(s + 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 17 - 7 - 0 - 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let f(v) be the second derivative of -v**6\/15 + v**5\/10 + v**4\/6 - v**3\/3 - 8*v + 1. Find q such that f(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 53346144.\nAnswer: 2, 3, 43, 12923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 14, 28, 40, 50?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 0.1 + -1.1. Let t = -2.5 - -2.8. Which is smaller: d or t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2 = 5*q - 8. Suppose -q*s - 2 - 2 = 0. Let g be 0 - (-3)\/s*-2. Let x(m) = m**2 - 5*m + 3. What is x(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 211 + -1057\/5. Let d = 0.088 + 4.012. Let x = 4 - d. Which is the closest to k? (a) 1\/3 (b) -2\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*j = -q + 14, 4*j + 8 = -5*q + 7*q. Let s = 81 + -61. Which is the biggest value? (a) q (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*g - g = -4*m - 12, -2 = 2*m + g. Let t be ((-2)\/(-3) + -2)*-3. Solve 0 = -p + 3*y - 13, -4*p = y + t*y + m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: -1 divided by -4250419\nAnswer: 1\/4250419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*c + c + 10 = -3*n, -3*n - 35 = -4*c. Let h(s) = 15*s - 3. Let f be h(c). Suppose 0 = -4*u + f + 76. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide -3327844 by 63997.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*l - 5*t + 31 = 0, 5*t = -4*l - 0*l + 13. Let y be -1 + l*4\/(-6). Let a be ((-8)\/(-6))\/(1\/(-3)). Sort 5, y, a in increasing order.\nAnswer: a, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g(s) be the third derivative of -5*s**8\/2184 - 19*s**7\/1365 + s**6\/195 + 532*s**2. Factor g(m).\nAnswer: -2*m**3*(m + 4)*(5*m - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(p) be the second derivative of -2*p**4\/3 - p**3 - p**2 - 17*p. Let t be i(-2). Let s = t - -31. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -2 + -3 + 1*sqrt(112) + ((0 + sqrt(1008))*4 + 0)**2.\nAnswer: 4*sqrt(7) + 16123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 16084.\nAnswer: 2, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {e: 1, x: 1, b: 1}. Give prob of sequence eb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -7*b = -56 + 14. Calculate the remainder when 23 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*t = 5*g - 31, 2*g - 14 = -5*t + 12. Solve -11 - 1 = g*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(b) = -8*b**3 + 560*b**2 + b - 82. Calculate x(70).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 83, 127, 211, 341, 523, 763, 1067, 1441?\nAnswer: 1891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Determine q, given that 5*q**3 + 305*q**2 + 3555*q - 13545 = 0.\nAnswer: -43, -21, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is -11224.88 rounded to the nearest ten?\nAnswer: -11220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (o\/(o\/((o**33\/o)\/o)*o)*o)\/o*o\/(o\/(o**(1\/28)*o)) assuming o is positive.\nAnswer: o**(869\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 7260 and 3300.\nAnswer: 36300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 2*r + 5*r - 17*r + 6*r - r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is 3d6d80 (base 14) in base 16?\nAnswer: 208824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 1 + 1*sqrt(1008) + -3.\nAnswer: -2 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 5058 - 4990. What is the greatest common divisor of j and 16388?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 90678 is divided by 11262.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Put together -223 and 4.\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Is -1399226 less than or equal to -1399263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -53*y + 49*y - 414998 - 400800 + 266470.\nAnswer: -4*y - 549328","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Solve -1129332*c + 1129301*c = -3410 for c.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from ttbttroertotrboezre. Give prob of picking 1 o, 1 t, and 1 e.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Expand (2*n - 5*n + n)*(2 + 2 - 3)*(-3 + 5 + 9).\nAnswer: -22*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from rrmcedmdmrmdrrd.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let o(z) be the second derivative of 4*z - 1\/6*z**5 + 5\/42*z**7 + 0 + z**2 + 0*z**4 + 0*z**3 - 1\/8*z**6. Let w(h) be the first derivative of o(h). Factor w(k).\nAnswer: 5*k**2*(k - 1)*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert 11411 (base 6) to base 13.\nAnswer: 9ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*c = 6*c. Solve c*g + 16 = 4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -117717565 or -117717568?\nAnswer: -117717568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Determine q, given that -5*q**3 + 8295*q**2 + 57045*q - 39554455 = 0.\nAnswer: -71, 67, 1663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*j + 34 = 2*u, 2*u + 1751 = 1757. Let v(c) = c**3 - 4*c**2 - 9*c - 19. Give v(j).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -12.6194 rounded to 2 decimal places?\nAnswer: -12.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let b(y) be the second derivative of -y**6\/180 - y**5\/40 - y**4\/6 - 4*y. Let l(q) be the third derivative of b(q). What are the prime factors of l(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l be 3 - ((-5630)\/4 - (-6)\/(-4)). Suppose l = 4*w - 3*c, 58 = -3*w - c + 1104. List the prime factors of w.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4*p = -2*k - 10, 14*k = 9*k + p - 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is 191 minutes before 9:04 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let a(x) be the first derivative of -x**6\/360 + x**5\/40 - x**4\/4 - 17*x**3\/3 - 17. Let n(h) be the third derivative of a(h). What is n(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g(h) = 19*h**3 + 2*h**2 - h. Let s be g(1). Let v = 30 - s. What is the lowest common multiple of v and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor -2*d**2 - 47678*d.\nAnswer: -2*d*(d + 23839)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the fth term of 10349, 10348, 10347, 10346, 10345, 10344?\n\"Answer: -f + 10350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the oth term of 833430, 3331206, 7494174, 13322340, 20815710, 29974290, 40798086?\n\"Answer: o**3 + 832590*o**2 - o + 840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 55558930 is divided by 13889729?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 3856936.\nAnswer: 2, 482117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is 1001101010110 - -11?\nAnswer: 1001101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Factor -3*b**2\/4 - 7809*b\/2 + 645381\/4.\nAnswer: -3*(b - 41)*(b + 5247)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.060804 take away 1.5560294?\nAnswer: -1.4952254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let q(f) be the third derivative of 0 + 1\/20*f**5 + 4*f**2 + 0*f + 0*f**3 + 0*f**6 + 0*f**7 + 1\/48*f**8 + 0*f**4. What is the third derivative of q(n) wrt n?\nAnswer: 420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*q + 14 = -2*l, -5*q - 60 = -5*l - 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((sqrt(130)*2 - sqrt(130))*-5)\/(sqrt(160) + sqrt(160)*2) - (-2 + -1*(sqrt(1053)*-1)**2)) + -5.\nAnswer: -5*sqrt(13)\/12 + 1050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 1962 and 14.\nAnswer: 13734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Add together -41.089337 and 0.001.\nAnswer: -41.088337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 9876945.\nAnswer: 3, 5, 13, 50651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: (2 - (-258)\/(-93))*(19\/(2888\/(-2907)) + 19)\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 782495 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -q - 2*q + 102 = 0. Let b = 154 - q. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -272366887*a**2 - 3*a**3 - 19*a**3 - 2 + 272366887*a**2.\nAnswer: -22*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -348*t + 174*t + 174*t - 47*t**3.\nAnswer: -47*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -5595, -22283, -50041, -88869, -138767, -199735?\nAnswer: -271773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the seventh root of 5748757 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let a(y) = -6*y - 6. Let m(d) = d**2. Suppose -4*l + u = -8, -u - 2 = -3*l + 5. Let b(i) = l*a(i) - m(i). Let f be b(-3). What is the closest to -1 in 0, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 297*l - 133*l = 143*l + 252 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Is 134533783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((p*p**(-6\/5)\/p*p)\/(p\/p**(1\/6)))\/((p\/(p**(-10)*p)*p)\/(p*p\/(p**(-1\/5)*p)*p)) assuming p is positive.\nAnswer: p**(-59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Solve -6*m - 1753 + 1657 = 0 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Determine q so that q**4 - 361351*q**3 + 32636588775*q**2 + 1273391093575*q - 1306027321000 = 0.\nAnswer: -40, 1, 180695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let z(t) be the first derivative of 266*t**5\/5 + t**4\/2 + 22*t**2 - 123. What is the second derivative of z(d) wrt d?\nAnswer: 3192*d**2 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -0.1 in -0.54, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let k(i) = i**2 + i + 20. Let o be k(0). Suppose -3*m = 2 + 46. Is 5836\/o - m\/(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose d - 4*i - 14 = 0, d - 3 = 5*i + 9. Suppose w + 23 = d. List the prime factors of (w + 3)*715\/26.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten millions digit of 17798425?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let p(j) = j**2 - j + 5. Let d be p(4). Let z = d + -13. Let k(r) = -2 + 4*r + 0 - 2. Give k(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*h = 13 - 29. Suppose -35 = -3*u - 5*v, 0 = 353*u - 352*u + v - 9. Sort -3, h, u.\nAnswer: -3, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -4 + 5*((2 + (sqrt(3) - sqrt(27)))*2*-4)**2 + -4.\nAnswer: -2560*sqrt(3) + 5112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 65\/22682 and 21\/44.\nAnswer: 45364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let i be (-216)\/(-10) + 12\/(-20). Let b be (-12)\/21 + 54\/i. Suppose -3*p + 5 = -b*p. Put p, 4, -4 in decreasing order.\nAnswer: p, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 14*i + 200 = 16*i. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (2*y - 2 + 2)*(1 + 4 - 3)*(-182 - 235 - 34).\nAnswer: -1804*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the second biggest value in 772, 2\/15, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Solve 64*d + 351 - 2525 + 190 = 0 for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 1 - 0.9. Let z = 284\/591 - 70693\/148341. Which is the closest to j? (a) z (b) 0.1 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many tonnes are there in 0.1362741ug?\nAnswer: 0.0000000000001362741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let n(f) = 2*f**3 + 22*f**2 + 58*f + 8. Let k be n(-4). Suppose -2\/19*r**2 + k + 2\/19*r**3 - 4\/19*r = 0. Calculate r.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide 18 by -1226721.\nAnswer: -6\/408907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 17737 - 11134. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c = 171.2619 - 170.48. Round c to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*n + 4*c = -16 - 56, -2*n + 72 = -c. Let s = 3 - 12. Let p = s - -21. Calculate the highest common factor of p and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -290*q**3 + 454*q - 459*q + 290*q**3 - q**2 - 27 + 5*q**4 to w*q**2 + b*q**3 + u*q + j + i*q**4 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let a(w) = 2*w**2 + 53*w + 243. Determine a(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of -805*h**3*v**2 + 3*h**2*v + 59*v**2 wrt h.\nAnswer: -4830*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let v(g) be the third derivative of 126667*g**4\/6 + 2*g**3\/3 + 16*g**2. Let j be v(-3). What is j rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 210 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Convert 1000211012112200 (base 3) to base 7.\nAnswer: 236451540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 3057 + -236. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 7918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let w(j) = 3*j**2 - 9*j + 2. Give w(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 54756 and 72332.\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let l be 440\/(-160)*4*(-1)\/1. Let g(t) = -2*t + 1. Let z be g(-3). Suppose -z*n + 2*n = 0. Solve 2*a - 3*j + n*j = -6, 5*j = 3*a + l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 696 divide 51922296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let u(p) be the first derivative of 6*p**2 - 7. Let w(y) = 10*y**2 + 12*y - 12. Let q(a) = a**2 + a - 1. Let c(n) = 12*q(n) - w(n). Give c(u(l)).\nAnswer: 288*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Which is the smallest value? (a) 0.3 (b) -0.002 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Is 307\/2 at least as big as 155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*f + 4*h - 28 = -2*f, 4*h - 4 = -f. Suppose -13*j + f*j = -20. What is the greatest common divisor of 28 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 12612, 87752, 291710, 688896, 1343720, 2320592, 3683922?\nAnswer: 5498120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let v(p) = 2*p + 3*p + 0*p + 4 - 4*p. Determine v(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 448 minutes before 11:53 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when (2\/3)\/((-7)\/252*-1) is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {z: 1, a: 2, r: 1, s: 1, c: 1, f: 1}. Give prob of sequence ra.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let k(i) be the third derivative of i**5\/60 + i**4\/24 + i**3\/6 + 15*i**2. Let m(w) = -9*w**2 - 5*w - 6. What is 6*k(d) + m(d)?\nAnswer: -3*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let k(n) = 6*n**2 + 18*n. Suppose 7*h = -14*h - 105. Let f(j) = 2*j**2 + 6*j. What is h*k(r) + 16*f(r)?\nAnswer: 2*r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Factor n**2\/2 - 12879*n\/4 - 70895\/4.\nAnswer: (n - 6445)*(2*n + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Round -525300 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Is 1146037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of 119068 and 14370457.\nAnswer: 977191076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the lowest common multiple of 910971 and 81.\nAnswer: 8198739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is -68014390 rounded to the nearest ten thousand?\nAnswer: -68010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 118192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Is 30935332817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*l + 35468 = 3*o, 10*o + 35443 = 13*o - l. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -27*f + 36*f - 243. Solve -5*n - f = 3*w, -3*n - 32 = n + 5*w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence jjjf when four letters picked without replacement from jffjffjffjjfjffgf.\nAnswer: 5\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: (1 - 0 - -10 - 2) + -8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((1*sqrt(76))\/sqrt(4) - -1*sqrt(171)) + 4)*1.\nAnswer: 4 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 31686840 divided by 2112456.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.003942787 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the third biggest value in 3, 0.1, -0.5, -59?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from popoopppppopoppppo. What is prob of sequence pp?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is 3656197 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -2.4 - 7.6. Let n = 9.7 + p. Let v = 5.7 + -0.7. Which is the second smallest value? (a) v (b) 7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(d) = -d**3 + 12*d**2 + d + 4. Is n(12) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 358*n + 17478 = 409*n + 607*n + 313*n for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let m(o) = -7*o. Let l(n) = 21*n. Calculate 5*l(y) + 14*m(y).\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Is 1969651139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let r(c) = 13*c**2 + 15*c + 5. What is the tens digit of r(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o = -1 + 3. Let l = 7992\/143 + -710\/13. Which is smaller: o or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 750.0481 nanometers in centimeters?\nAnswer: 0.00007500481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the ath term of -69192, -67823, -65530, -62307, -58148?\n\"Answer: a**3 + 456*a**2 - 6*a - 69643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 100 = 7*h + 142. Is 75622\/6 + ((-2)\/h - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d(c) = 5*c**2 + 8*c + 6. Suppose 4 = -12*i - 32. Let m be d(i). What is the highest common factor of m and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -3*x - 4*f + 52867, -10*f = -5*x - 8*f + 88051. What is the remainder when x is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(n) = -17*n. Let t(c) = 14538*c**2. Give u(t(h)).\nAnswer: -247146*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 60881574.\nAnswer: 2, 3, 13, 60041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*b + 99 = 5*d, b = -d + 6*d - 103. Are d and 25 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(y) = -y + 2. Let d be 13\/((-91)\/49)*(-6)\/14. Let k(p) = p - 1. Determine d*k(l) + 4*j(l).\nAnswer: -l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let f(y) = -12*y - 460. Let k(a) = -a - 46. Let o(n) = -f(n) + 10*k(n). Let l(w) = -6513*w. Calculate l(o(p)).\nAnswer: -13026*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 695 and 355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the ith term of -118187, -118174, -118175, -118196, -118243, -118322, -118439, -118600?\n\"Answer: -i**3 - i**2 + 23*i - 118208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is -100 - 101011011011111110101001101?\nAnswer: -101011011011111110101010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -n + 320 = 4*b, 7*b = -2*n + 2*b + 643. Calculate the greatest common factor of n and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 7269484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*n = 5, n = j - 4*n + 55. Let u be 1*(-4)\/(-18)*(-270)\/j. Calculate the highest common factor of 8 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Product of -1 and 0.008.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let v be (234\/21 - 13)*-7. Which is the third smallest value? (a) -2\/7 (b) -6 (c) -1 (d) v (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*y - 12 = 3. Suppose -5*x - 27 = -3*j, y*j - 4*x = j + 28. Suppose 0 = -6*l + l + 5*z + 535, -l + j*z = -122. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence lg when two letters picked without replacement from {g: 1, e: 7, l: 6}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of -3*l*w**3 - 3715*l*w**2 + 4779*l*w - 117994840*w**3 wrt l.\nAnswer: -3*w**3 - 3715*w**2 + 4779*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 7\/21*81\/(-837)?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 113 = 10*p + 23. Suppose p*i - 3*i = 708. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-6*h - 9*h + h)*(-h + h + h)*(-h**2 + 2*h**2 + h**2).\nAnswer: -28*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let i(d) be the first derivative of -d**6\/40 - d**3\/2 + d**2 - 1. Let o(m) be the second derivative of i(m). What is the first derivative of o(r) wrt r?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 0.2 - 0.2. Let f = -272 + 270. What is the closest to k in f, -2\/23, 3?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: -1192650 divided by -1192650\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 1.6*1.2.\nAnswer: 1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Sum 1035052327 and 709096.\nAnswer: 1035761423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -76*f**2 - 60*f wrt f?\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let n(m) = m**3 + 5*m**2 + 3*m + 4. Suppose -3 - 5 = 2*y. What is n(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -41*j - 2*j + 36120 = 0. What is the smallest common multiple of 12 and j?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 301020 (base 4) in base 8?\nAnswer: 6110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 22 + 3 + -1 + 1752 + -1679.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -151 + 317. Does 28 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(a) be the third derivative of -a**6\/120 - a**5\/20 + a**4\/6 + a**3\/2 + 43*a**2. Suppose g + 40 = 37. Determine o(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(t) = -t - 10. Let h be r(11). Let l be 0 - 4\/(-4)*h. What are the prime factors of 22\/3 - (-7)\/l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort -4, 206941, -2, 1, -3.\nAnswer: -4, -3, -2, 1, 206941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*f + 3 + 102 = 0. Calculate the highest common divisor of f and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is -1100111 - -1001101111100110?\nAnswer: 1001101101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 6.14 - -1.86. Let b = 8.000635 - n. Round b to 5 decimal places.\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(r) = 11*r**2 - 48*r - 56. Is j(-27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the lowest common multiple of 266076 and 10.\nAnswer: 1330380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -17919*j**2*p**3 + 767*j*p**3 + 2*j*p**2 + 2*p + 1 wrt j.\nAnswer: -35838*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred thousands digit of 2408927?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten millions digit of 95158534?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: ((-4)\/44)\/((-561)\/(-726))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Is 71598001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the third smallest value in 1517, -1, -5, -4.2, -0.03?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Sort 4, -65, -2, -5, -3, 13876 in descending order.\nAnswer: 13876, 4, -2, -3, -5, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {e: 1, n: 1, l: 4, q: 2}. Give prob of sequence nle.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let b(a) = -3*a - 38. Determine b(-18).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 4:07 PM and 11:50 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (k**(-12)*k*k)\/(k\/k**(-5\/16)) assuming k is positive.\nAnswer: k**(-181\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let g be 2\/(-6)*-3 + 2. Let l = -3 + g. Calculate the lowest common multiple of 9 and 0 + (0 - -5) + l.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose p + 0 = 5. Suppose -8*j + 52 = 332. Let f be (7\/(j\/(-10)))\/(-11). What is the nearest to 1\/2 in p, -2\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q(j) be the third derivative of 41*j**7\/42 - j**6\/40 - 2101*j**5\/60 + j**4\/24 - 6274*j**2. What is the third derivative of q(l) wrt l?\nAnswer: 4920*l - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 1 + -2. Let b = 1 + y. Suppose -2*w + b*w - 2 = 0. Which is bigger: -2\/7 or w?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y be (1 - 12) + (-12)\/(-4). Let t = y - -17. Solve 0 = 2*r + r - t for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put -10, 4, 5, -21 in ascending order.\nAnswer: -21, -10, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let q(d) = d**3 + 3*d**2 + 2*d + 1. Let t be q(2). Suppose z - t = -35. Which is smaller: -21 or z?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i be (-4 + 12\/(-8))*-8. What is the highest common divisor of 66 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(r) = r**3 - 25*r**2 + 113*r + 15. Let o be u(19). Sort 4, o, -5 in descending order.\nAnswer: 4, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: -53*51\nAnswer: -2703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.0003446 to 6 decimal places.\nAnswer: -0.000345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let x(h) be the third derivative of 7*h**4\/24 + 15*h**3\/2 + 200*h**2. Let o be x(-6). Solve 4*b + 15 = u, o*u + u = -4*b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate ((882\/378)\/((-14)\/60))\/(2 + 26).\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 2:34 AM and 8:40 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {v: 4, f: 1, u: 7, q: 2, p: 2}. What is prob of picking 2 u and 1 f?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is 5051569 to the power of 1\/3, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let h(g) be the third derivative of g**5\/60 - 3*g**2. Let r(k) be the third derivative of -k**5\/30 + 44*k**2. What is h(r(b))?\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -14 - (-3 + 7) - (40 - 62) - -31.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: -2 or -97\/36?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of -2435*v**3 - 2655*v**2 + 3*v + 279638165.\nAnswer: -7305*v**2 - 5310*v + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let i be (-4)\/(-4) + 0 + -6. Let p = -7 - i. What is the remainder when 44 is divided by (-11 + 9)*15\/p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify l**(-1\/22)*l\/(l**8*l)*(l\/l**(-9))\/(l*(l*((l\/(l**7\/l))\/l)\/l*l)\/l) assuming l is positive.\nAnswer: l**(153\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is -23267972 divided by -4613?\nAnswer: 5044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 188054 to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Is 11\/53 equal to 78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let v(c) = -c**2 - 149399 + 298795 - 6*c - 149396. Let r(h) = 20*h + 17. Let a(k) = 3*k - k + 6 + 5*k. Let w(s) = 17*a(s) - 6*r(s). What is v(d) - 6*w(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let j(n) = n. Let b(k) be the third derivative of -k**4\/8 - 3*k**2. Let i(x) = x + 2*x + 0*x. Let v(g) = 3*b(g) + 4*i(g). Calculate v(j(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*l = -2*t - 0*l + 299, -t - l + 150 = 0. Let s = 259 - t. Calculate the greatest common factor of 36 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t be 3 + (-52)\/(-13) - (16 - 1)\/3. Which is the biggest value? (a) 1\/4 (b) 3\/8 (c) -0.1 (d) -1 (e) t\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 5 + -2 + (6 - 5) - 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Express (1 + 1 - 22)*(-1 - 1 + 5)*(-4*h + 4*h - h) in the form k + p*h and give p.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 2 r and 1 g when three letters picked without replacement from uujgiifrfjffuju.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -4 + 7 + 0 + -11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let v be ((-1)\/(4\/6))\/(21\/14). Let r be (v - 69\/(-15) - 4)*-5. List the prime factors of 922\/4 + (1 - 0)\/r.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -53\/6500 and 103\/31300.\nAnswer: 2034500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let t(m) be the third derivative of -m**6\/810 + m**5\/45 - 4*m**4\/27 + 12*m**3 + 49*m**2. Let s(f) be the first derivative of t(f). Find k, given that s(k) = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -1 in -2, -0.1, 10\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*c = 3*u + 1095, 0 = 2*c - 8*u + 7*u - 728. What is the greatest common divisor of 264 and c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*g - 4*w = -1162, 4*g - w - 928 = -5*w. Calculate the remainder when g is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b = -0.028 + 0.0280115. Round b to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {z: 2, e: 1, p: 2}. What is prob of sequence epp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Determine d, given that -5\/2*d - 23\/2*d**2 - 19\/2*d**3 + 3\/2 - 2*d**4 = 0.\nAnswer: -3, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the biggest value in 3.1, -0.4, 17\/9?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let n(h) = -7*h**2 + 2*h**2 + 2*h**2 + 4*h**2 - 1. Suppose -5*l + 10 = 5*i, -3*l = -5*l + 8. Give n(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from yyd. Give prob of sequence dy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(99)*-1*-5)\/(-1*sqrt(441)) + (-2*sqrt(121)*-6 + sqrt(121))\/(4*sqrt(22)\/sqrt(2) - sqrt(11)))**2.\nAnswer: 63536\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-16)\/48*6\/8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third biggest value? (a) -1 (b) 11 (c) -4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is 36379025 to the power of 1\/3, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((v\/(v*v**(3\/2)))\/(v*v**0))\/(v**2*(v**9*v)\/v))**(-39) assuming v is positive.\nAnswer: v**(1053\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let f(d) = -d**3 - 379*d**2 - 1871*d - 368. What is f(-374)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let s(k) = -81*k + 4. Let g(b) = 146*b - 5. Give 6*g(h) + 11*s(h).\nAnswer: -15*h + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(104)*-3*2 + sqrt(104))\/(sqrt(8) + 5*1*sqrt(8)) + 0 + 5)*-5.\nAnswer: -25 + 25*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is -3 - 16?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: (-2 - -11) + (-5 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Expand 7*a**3 + 51 - 51 + (-2*a + 0*a + a)*(-24*a + 24*a + 2*a**2) + (-3*a + 0*a + 4*a)*(6*a**2 - 2*a**2 - 3*a**2).\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Express 2*d**4 - 8*d**2 + 18665 + 5*d**3 - 5*d**3 - 2*d**2 - 9*d - 18669 in the form s*d**4 + v + q*d**2 + o*d + n*d**3 and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let a(o) = -2*o. Let d(y) = y**3 - 9*y**2 + 8*y + 2. Let f be d(8). Let z be (3\/4)\/((-2)\/(-8)). Let p(k) = z*k**2 - 3*k**2 + k**f. Give a(p(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*g = -2*g. Let p(t) = -t**2 - 2*t - 7. Let r be p(g). Let u(w) = -w - 7. Determine u(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v(y) = 40*y**2 + 90*y + 42. Calculate v(-3).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 3 y and 1 i when four letters picked without replacement from iktkyyykkyi.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let h(m) = m + 3. Let f be h(7). Suppose -73 + f = -b. Suppose v + 2*v - b = -5*z, v - 5*z = 21. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(z) = -z**3 - 51 - 4*z - 5*z + 50 + 8*z**2. Let j be n(6). Suppose -1038 = -j*y + 3484. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence ptz when three letters picked without replacement from tzntrttrprt?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let a(k) = 38*k + 31 - 36 - 35*k. Let w(x) = x - 16. Let p(f) = 2*f - 28. Let h(d) = 4*p(d) - 7*w(d). Give -a(b) + 2*h(b).\nAnswer: -b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fifth biggest value? (a) 2311 (b) -2 (c) 2 (d) -0.05 (e) -0.06 (f) -2\/5 (g) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let d be 50\/6 - (-30)\/45. Suppose 1 + d = h. Suppose 2*u = 5*o + h + 58, 0 = 3*u + 4*o - 56. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j be (-1)\/1 + 2 - (-5 - -2). Solve 0 = 5*k + j*f - 17, -4*k + 5*f - 4 = 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -2647391 + -132026.\nAnswer: -2779417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let p(j) be the first derivative of -1\/5*j - 3\/10*j**2 - 1\/5*j**3 - 1\/20*j**4 + 1. Determine x, given that p(x) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 1024 and 896?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate 31*n + 42*n + 832 - 59*n + 85*n wrt n.\nAnswer: 99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 11 a factor of 167975363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 2155?\nAnswer: 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: 1*-1.38812\nAnswer: -1.38812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let j = -3 + 4. Let w be (26\/52)\/(136\/(-32)). What is the smallest value in j, 0.24, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 0.2 + -0.3. Let v be (1\/(-1))\/(4\/(-20)). Suppose s - 28 = -v*t, 2*s = -3*t - 0*t + 21. What is the third smallest value in t, -0.4, f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 1 = 42\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 67863807 to the nearest integer?\nAnswer: 8238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 176515 is divided by 58825.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: -1 - 0 - (27 + -28)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -2\/7? (a) 0.5 (b) -42 (c) -2\/65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let r be (1 + 1)*-2*(-5 - -2). Suppose -r*h**4 - 130*h + 165*h**2 + 2*h**3 - 10*h**3 - 13*h**3 - 63*h**2 + 3*h**5 + 58*h = 0. What is h?\nAnswer: -3, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of -32903969*x + 176920599.\nAnswer: -32903969","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -15*f + 19*f - 56 = 0. Suppose 2 = 5*j - 23. Calculate the remainder when f is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -193*p**5 + 4*p**3 + 52*p**2 - 9*p wrt p?\nAnswer: -11580*p**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Put -5, -140, 4 in descending order.\nAnswer: 4, -5, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 10791875 is divided by 1021.\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of -348 - 356 + 653 + 66*j wrt j.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor 4*g**2 - 708*g - 20200.\nAnswer: 4*(g - 202)*(g + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 s and 1 y when two letters picked without replacement from {y: 4, s: 1, g: 2, w: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -x + 2 = 5*a + 20, -20 = 5*a. Suppose -2*t = -b - b - 142, 148 = x*t + 4*b. Is 24 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((s*s\/(s\/s**(-19))*s)\/s)**(-48)*((s**(-1\/7)*s*s)\/s)\/(s**(-4\/19)\/s))**(3\/13) assuming s is positive.\nAnswer: s**(345561\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 127441957 and 16868.\nAnswer: 4217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let p be 1*(0\/2 - 0). Let w(m) be the second derivative of m**5\/20 + m**4\/12 + m**3\/6 - 9*m**2\/2 - 2*m - 33. Calculate w(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4 + 4 = s. Let l(w) = -w**3 - 8*w**2 + 18*w - 11. Let q be l(-10). Which is greater: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 6128 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 2 c, 1 r, and 1 k when four letters picked without replacement from {c: 3, w: 5, k: 3, r: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 3774.\nAnswer: 2, 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let t(q) = q**2 - 15*q - 355. Suppose 3*o - 138 = o. Calculate the remainder when o is divided by t(28).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand 5*v**4 - 3 + 3 - v + v**4 + v + (2*v - 2*v + v**2)*(6*v**2 - 2*v**2 - 2*v**2) + 2*v**3 - 2*v**3 + 2*v**4.\nAnswer: 10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let i(u) = -3*u**2 - u + 2. Let b be i(-2). Suppose 0 = d + 5, 5*w = -2*d + 138 - 33. Suppose 4*z + 9 = -w. Is z <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v be ((-10)\/36)\/((-880)\/528). Let p(z) be the second derivative of 3*z + 0*z**4 + 0 + v*z**3 - 1\/20*z**5 + 0*z**2. Find d, given that p(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of t**3 + 1686932*t**2 - 11783716?\nAnswer: 3*t**2 + 3373864*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Is 6503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let s = 7 + 2. Suppose 4*p = -r - 9, -r + p + p = -s. Solve -n - r = 4*a - 0*a, -2*n + 4*a = -6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s be (-216)\/(-594) + 12\/(-22). Suppose 2*k - 2 = k. Which is the biggest value? (a) -0.5 (b) s (c) k (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 13 + -7. Let c be (-12)\/(-3)*6\/24. Sort c, a, 3.\nAnswer: c, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 1012326355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Is 660 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Convert 32 (base 15) to base 4.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Expand (4*i**2 + 0 + 0)*(3 - 3 - 2) - 3*i**2 + i - i + 3*i**2 + 0*i**2 - i**2 - 5*i**2 + 3*i**2 - 5*i**2 - 2*i**2 + 6*i**2 - 2*i**2.\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the lowest common multiple of 18206583 and 24275444?\nAnswer: 72826332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*m**4 - 14700*m**3 - 5*m**2 + 14700*m = 0.\nAnswer: -1, 0, 1, 2940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let o(z) = 74*z**2 - 73*z**2 - 4*z - 2*z. Let w(i) = i. What is o(w(d))?\nAnswer: d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let b = -164 + 164.087. Let u = b - 0.08774. Round u to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(r) = 183*r**2 - 1270*r - 21866. Give f(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -54 + 260 - 58 + 1140*y - 321*y - 91 with respect to y.\nAnswer: 819","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 3168 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -13*z**2 + 3379976 - 3379976.\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let d be ((-8)\/(-10))\/(-4)*180\/378. Let v = 0.44 + -0.04. Sort -0.8, d, v.\nAnswer: -0.8, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Work out -492 * -1.1.\nAnswer: 541.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is 468 minutes after 9:17 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the nth term of 56, 123, 176, 209, 216, 191, 128?\n\"Answer: -n**3 - n**2 + 77*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let k be ((-33)\/2)\/(66\/(-88)). Let l = -11 + k. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 27 - 24. Let n be ((-2)\/(-30))\/(2\/(-5)). Sort j, -20, -1\/2, n in decreasing order.\nAnswer: j, n, -1\/2, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 82147 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let w(h) = 21*h**2 + 8*h + 48. Let z be w(10). Suppose 1225 + z = 3*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 1055*s = 917*s + 4278 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 9 + -5. Suppose -2*i + 0*i = -2*w - 2108, w - q*i = -1039. Let y = w - -3230\/3. What is the common denominator of -3\/10 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many hours are there in 62\/7 of a week?\nAnswer: 1488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Expand -2*t**4 + 3*t**4 + 0*t**4 + (-21 + 21 + 6*t**3)*(5*t - 3*t - 3*t).\nAnswer: -5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (t\/(t*t*t\/(t*t*t\/t**(-2)*t)*t)*t\/t**7*t)**(-11)*(t**(1\/4)*t**(-2)\/t)**22 assuming t is positive.\nAnswer: t**(-77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 759867.\nAnswer: 3, 19, 13331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let n(k) = k**2 - 3*k. Let h be n(2). Let a be 2 - ((h - -3) + 0 - -1). Which is greater: 4\/89 or a?\nAnswer: 4\/89","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -1 + -8 + 26 + -32?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let t(s) = -7*s + 24. Let q be t(4). Let z be 0 - -2 - (2 + -1 + q). Solve -l + z*l = -12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-4*z + 5*z - 3*z + (1 + 1 - 3)*(z + 3*z - 3*z) + 3 - 3 - 10*z)*(3 + 0 - 1).\nAnswer: -26*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*d**3\/2 + 3270731*d**2\/2 + 327073*d = 0 for d.\nAnswer: -654146, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Express (-2 + 2 - 4)*(0*w + w + w - 3*w - 5*w + 6*w + (3 - 3 + 2*w)*(-1 - 3 + 3) + 4 - 4 + w) in the form a*w + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let m be 8\/(0 - -2) + -133 + 4. Let f = -112 - m. Does 2 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 256 - 0.09425.\nAnswer: 255.90575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let b = -111 - -500. Is 8 a factor of b\/9 - (-2)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence dy when two letters picked without replacement from {h: 1, q: 1, y: 1, i: 1, d: 2, b: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*t + 4*w - 5*w = -7523, 3739 = 2*t + 5*w. Let p = t + -26379\/14. Let b = -38991\/20 - -1948. Calculate the common denominator of b and p.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(n) = -n**3 - n**2. Let w be k(-2). Suppose 134 = 2*x - w. Suppose -12*i - x = -13*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put -2525, -0.127, 2, 1\/7 in increasing order.\nAnswer: -2525, -0.127, 1\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -222 + 226. Let f be -2 + (5 - 3\/1). Suppose a + h = 0, -4*a + 1391 = 3*i - f*a. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.0001595504 rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Is 19521 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from hhhwhwhhhh. Give prob of sequence hww.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -2\/3? (a) -5 (b) 219 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let v be (3 + -3)*1\/2. Suppose 4*p + v*l = -l + 21, 5*l - 25 = 0. Solve -224\/3*y**p - 14*y - 16*y**3 + 4\/3 + 130\/3*y**2 = 0 for y.\nAnswer: -1, 1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Total of 65164 and -1.\nAnswer: 65163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 0*f + f - 3*f - 2*f + 6*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((-6*(sqrt(88) - (sqrt(88) + 2*sqrt(88) + sqrt(88))))\/(1*sqrt(200)) - (3 + (sqrt(44) - sqrt(11)) - -3*sqrt(44)\/sqrt(4))*-3)**2.\nAnswer: 1404*sqrt(11)\/5 + 68949\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 34.3211 - 0.0211. Let i = 45 - x. What is i rounded to zero dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j be (-30717)\/90 - 3\/2. Let t = -344 - j. What is the smallest value in -0.6, -5, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 12155543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let k(l) = l - 2. Let p(n) = n - 3. Let a = 104 + -14. Let x = 98 - a. Give x*k(j) - 5*p(j).\nAnswer: 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 0 + 17. Let g = -16.8 + l. What is the second smallest value in -1, -2, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is 205387 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Expand ((-6 - 6 + 3)*(4 + 2 - 1) - 8 - 2 + 5)*(3 - 3 - 2*c).\nAnswer: 100*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Expand 7*j + 7*j + 2*j + (j + 2*j - j)*(-2 + 4 + 0) - 4*j - 5 + 5.\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from {h: 7, e: 5}.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let t(b) = -b**3 - 6*b**2 + 4*b + 11. Give t(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -223 - -443\/2. Let l = 48 - 193\/4. What is the third smallest value in l, k, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(y) be the second derivative of -y**3\/3 - 5*y**2\/2 + y. Suppose 25*z = 22*z + 951. Suppose -z*t = -315*t + 12. Give o(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 9\/54*15*((-66)\/(-275))\/(-3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is -15a350 (base 11) in base 14?\nAnswer: -66532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Does 14 divide 1509385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence gy when two letters picked without replacement from {e: 1, g: 7, y: 2}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 2 h and 2 o when four letters picked without replacement from {h: 4, o: 3}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {a: 3, y: 15}. What is prob of picking 3 y?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of 127\/120 and 43\/2?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 23711195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Is 3614109557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let k(i) be the second derivative of 1\/3*i**3 + 0 + 1\/12*i**4 - 5*i - i**2 + 1\/20*i**5. Give k(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -66*t + 3*w + 43 = -61*t + 41, -t + 3*w + 10 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 19722 is divided by 705?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest common multiple of 1026356655 and 30?\nAnswer: 2052713310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is 134792.9 rounded to the nearest 100?\nAnswer: 134800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.00628163 to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let f(m) = -m**3 - 7*m**2 - 9*m + 5. Give f(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let p(o) = 63*o**2. Let k(d) be the first derivative of -3*d**2 - 4*d + 989. Calculate p(k(m)).\nAnswer: 2268*m**2 + 3024*m + 1008","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 10:32 AM and 5:58 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from hxlts. What is prob of picking 1 l, 1 h, and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let t(c) = 7*c**2 - 137*c + 81. Let k be t(19). Sort -1, k, 39, 3 in descending order.\nAnswer: 39, k, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(q) = -3*q - 107. Give m(20).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*g = 4*m - 34, -2*m - 2*g + 18 = -0. Suppose -2*h = 2*j - 8, 3*h - 10 = 3*j + m. Solve 0 = -h*u + 2*d - 20, -3*u = -7*d + 4*d + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of 58377 and 8235.\nAnswer: 2626965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let z = 17 + -14. Let w be (-1)\/((z\/5)\/(-3)). Sort 1, -4, w in increasing order.\nAnswer: -4, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 21 not equal to 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let f(j) = -j**2 + 7*j + 4. Let m = 48 - 75. Let g be (-46)\/(-6) + 18\/m. Let o be f(g). Solve 2*n + 10 = o*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 49.63 - 50. Let n = -0.08 - -0.11. Let y = n - j. Which is the nearest to 1? (a) y (b) 0.2 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 3 + -3 - (-22 + 4) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 16.9 + -1.9. Let h = -14.99999982 + l. Let n = 0 - h. What is n rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v be -1 + -1 - (-43 - -1). Suppose h - 3*f - 3 = -4*f, h = -4*f. What is the highest common divisor of h and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 o and 1 h when two letters picked without replacement from hohhhththzzzohtoohoh.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let d be 1024\/(-16) - (-1 - (2 + -5)). Let i = 71 + d. Let r = -7 + 10. Solve v + i*t = -15, -4*v + t = -r*t - 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 1005901442*u**2 - 5251*u + 36616 wrt u?\nAnswer: 2011802884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 11.314 - 0.264. Round w to 0 decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(v) = 37*v. Let a(k) be the third derivative of -1\/24*k**4 + 0 - 19*k**2 + 0*k + 0*k**3. Give r(a(t)).\nAnswer: -37*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is -159 divided by -88849?\nAnswer: 159\/88849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*r + 679 + 167 = 0. Calculate the common denominator of 27\/8 and 3 - (-2 - r\/(-32)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 181325 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Solve 152 = -4*l - 4*w, 30 = -l - 18827*w + 18830*w for l.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -3 + (0 + 4*3*((3*sqrt(720) - sqrt(720))*-6 + 2))**2.\nAnswer: -82944*sqrt(5) + 14930493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let l(k) = k**3 + 7*k**2 + k + 7. Let q be l(-7). Suppose -3*d + 751 - 189 = n, -2*n - 10 = q. Calculate the highest common factor of d and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 9, what is 16 + 6?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 5 + (-4 + sqrt(1800)*1)**2 + 6*-5*(sqrt(32) + -3).\nAnswer: -360*sqrt(2) + 1911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let q(z) be the third derivative of -34*z + 0*z**3 - z**2 + 1\/4*z**5 + 0 + 0*z**4. Let x(m) = 10*m**2. Give x(q(w)).\nAnswer: 2250*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the mth term of -107952, -106988, -105384, -103140, -100256, -96732?\n\"Answer: 320*m**2 + 4*m - 108276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 4:20 AM and 2:48 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 7 + -6 + 1 + 4 + (10 - 8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -10*d**6 - 2*d**3 - 795*d**2 wrt d?\nAnswer: -1200*d**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -5399, -5316, -5233?\nAnswer: -5150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Add -2.04248272 and 796.\nAnswer: 793.95751728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 9 and 17523.\nAnswer: 17523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Sort 780, -28, 1995 in descending order.\nAnswer: 1995, 780, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 8 = 5*i - 7. Suppose -a - 12 = -i*a. Let f be (32\/a)\/(-4) + 2. What is the second smallest value in 5, f, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 5, what is 232242 + 200?\nAnswer: 232442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let b be (-3*1\/(-2))\/((-4)\/40). Calculate the common denominator of 109\/(-18) - 10\/b and 31\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-4 - (8 - 8)) + 4 + 4 + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Solve -17*f - 17*f = -408 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the pth term of 1141, 1112, 1083, 1054, 1025?\n\"Answer: -29*p + 1170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: -94 or -106242\/1127?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: In base 5, what is -2 + 233?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Is 7067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let w be (3\/3)\/((-1)\/(-17)). Suppose 4*a - 181 = 295. Calculate the highest common factor of a and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((sqrt(77)*-2 - sqrt(77))*3 + sqrt(77) - sqrt(77)) + (sqrt(77)*-1*1 - sqrt(77)))\/((sqrt(1100) + sqrt(1100) + 3*sqrt(1100) + sqrt(1100))*-2).\nAnswer: 11*sqrt(7)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.0000208872 to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -10*b - 11*b + 24*b + 3 - 6*b**3 - b to k*b**2 + w + c*b**3 + q*b and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let g(w) = 10*w**2. Suppose -4*x - 3*q - 13 = 0, -11*x + q = -6*x + 2. Let y(l) = -l**2 + 1. Calculate x*g(a) - y(a).\nAnswer: -9*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*x = p - 9*x - 10519, 5*x + 21018 = 2*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: 0 or -4\/511883?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -0.6 + -1298.\nAnswer: -1298.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let j(m) = -m**2 - 11*m - 18. Let f be j(-8). Suppose 2*q + 21 = 5*q. Let 2*r**4 - 2*r**2 + q*r**3 - 2*r**5 - 4*r**3 + f*r**3 - 3*r**3 - 4*r = 0. What is r?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the tth term of -9462, -18707, -27554, -35805, -43262, -49727?\n\"Answer: 33*t**3 + t**2 - 9479*t - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let i be ((-11)\/22)\/(10*(-175)\/26000). Factor -338\/7 - 2\/7*x**2 + i*x.\nAnswer: -2*(x - 13)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(l) = 2*l**2. Let b(r) = 383*r**2. Calculate k(b(g)).\nAnswer: 293378*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is 1397106 to the power of 1\/2, to the nearest integer?\nAnswer: 1182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 120\/(-144)*6*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 1, 25, 81, 181, 337?\nAnswer: 561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let b be (-6)\/(-54) - (-3053)\/387. Let z(x) = -x**3 - x + 2. Let v be z(0). Solve v*f = -2*u - b, -2*f - 2*u - 2*u = 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 164306*m**4 - m**2 + m - 3537?\nAnswer: 3943344*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let j(v) = 16 + 2*v - 13 - 5. Let a be 2\/(-9) - (-2)\/9. Let u be 0 - 1*(-2 + a). Calculate j(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 127 = 87*a - 5581 + 314 for a.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let c(h) = 13*h**2 - 2*h - 1. Let f be c(-1). Suppose -4*o = 0, f = 2*b - 5*o - 22. Solve -3*d = 3 - b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -13 - -18. Suppose j + 11 + 0 = 3*r, 31 = 3*r - w*j. Which is the second smallest value? (a) 3\/2 (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 6*c + 31 - 139. Suppose c - 98 = -4*t. What is the greatest common factor of 220 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(a) = a**2 + a + 2. Let t(s) = 2*s - 8. Let w be t(4). Let r be f(w). Solve -5*x - 3 = -2*c, 2*x - 22 = r*c - 7*c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(d) = -d**2. Let c(b) be the first derivative of -5\/2*b**2 - 4 + 0*b. Calculate c(j(y)).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -2? (a) -0.13578 (b) -0.3 (c) 2\/5 (d) -0.2 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 1\/3 in -0.12, -2\/5, 3\/43?\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: -1dc (base 16) to base 9\nAnswer: -578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -1.12 - -1.02. Let q = 12 + -8. Let o = 0.5 - -0.5. Which is the third smallest value? (a) q (b) p (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 4525380 rounded to the nearest 100000?\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let v(o) = o + 1 - 2*o + 3*o - 3*o. What is v(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 44 smaller than 1260\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 3 + -8. Let x = a + 9. Let t(y) = -5 + 0 + 3*y - y**3 + 4 + y + 2*y**2 + 5. What is t(x)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t(l) = 2*l + 2. Let q(b) = -9*b - 10. Let u(n) = -3*q(n) - 15*t(n). Let y(a) = -13*a**2 + 5*a. What is y(u(c))?\nAnswer: -117*c**2 - 15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 380 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Does 265 divide 8217120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Which is the biggest value? (a) -2 (b) 0.5 (c) -7 (d) 0.56 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 5 + (1*-1*sqrt(34) + sqrt(34) + (-2*sqrt(3400) - sqrt(3400)) + sqrt(3400))\/(1*sqrt(4050)*3).\nAnswer: -4*sqrt(17)\/27 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate 1597*d + 1596.\nAnswer: 1597","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (y**1)**2 assuming y is positive.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let m be (-13900)\/(-5894)*20\/(-15). Let x = -28968166\/1263 + 22936. Let w = x + m. Calculate the common denominator of 3\/20 and w.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 786*t - 2258*t + 739*t + 772*t.\nAnswer: 39*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let b(t) = -t**3 + 2*t**2 - 2. Let i(u) = -46*u**3 + 16*u**2 - 14. Determine 8*b(g) - i(g).\nAnswer: 38*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Put 1\/2, -0.4, 3\/7, -5 in descending order.\nAnswer: 1\/2, 3\/7, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Factor -2*w**3 - 30*w**2 + 66*w - 34.\nAnswer: -2*(w - 1)**2*(w + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let s(h) = h - 8. Let o be s(-11). Let r = 19 + o. Differentiate -6*i + r + 0 + 2 with respect to i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 12:27 AM and 2:46 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let t be (22 + -1)\/(4\/4). Let p be ((-11904)\/(-84) - -5) + (-6)\/(-21). Calculate the highest common factor of p and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(k) = k**5 + k**4 + k**3. Let c(o) = 3*o**5 + 3*o**3. Let l(h) = 3*c(h) - 6*x(h). Factor l(m).\nAnswer: 3*m**3*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let -n**3 - 10331096*n**2 - 26682958457829*n - 373559393517534 = 0. What is n?\nAnswer: -5165541, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let z = 0.97997672 + -0.98. What is z rounded to six dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(n) be the first derivative of n**3\/3 + 5*n**2 + 12*n - 3. Let k be (-8)\/6 - (-284)\/(-12). Let u = k + 17. Give y(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -2132146 (base 7) in base 5?\nAnswer: -31310302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 39376 and 1840.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {x: 1, k: 2, b: 5, q: 1}. What is prob of picking 2 b, 1 x, and 1 k?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (c\/(c*c**12*c))**(-23)*c**(-5\/6)\/c**(10\/7) assuming c is positive.\nAnswer: c**(12463\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -47\/2511188 and -35\/6905767.\nAnswer: 27623068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is -278 divided by -1350?\nAnswer: 139\/675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of (-78)\/128*(3 + 99\/27) and -17\/300?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(l) = 5*l. Let i(q) = -7*q + 0*q + 3*q - 2*q. Let g(j) = 6*i(j) + 7*k(j). Give g(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*k = 3*t - 3 - 0, -4*t = -k - 4. Suppose 3*i - m = 5, -m + k*m = 5*i + 5. Suppose 3*c + 4*x = 18, -1 + 7 = c + 4*x. Solve i = 2*j - c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -6012 plus 0.4?\nAnswer: -6011.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 136723?\nAnswer: 47, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence gg when two letters picked without replacement from gggggggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -2? (a) 2\/3 (b) -355 (c) 6\/5 (d) 84 (e) -6\/7 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest value in 2, -5, -27, 2\/9, -2\/7, -4\/5, -26711?\nAnswer: -26711","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let t(j) = -12552*j - 39225. Let d(s) = 3*s + 5. Give 7845*d(m) + t(m).\nAnswer: 10983*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Is 27687986771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let d(w) = -w - 3. Let g be d(-3). Let n be 8\/36 - 50\/(-18). Suppose 0 = -g*z - n*z - 6. Let m(o) = 3*o. Determine m(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: -10120 (base 3) to base 13\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 45649, 103823, 161983, 220123, 278237, 336319, 394363, 452363?\nAnswer: 510313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {a: 2, s: 4, c: 10, n: 3}. Give prob of picking 1 a, 2 n, and 1 s.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of -79*i**3 + 79*i**3 - 137*i**5 - 312*i**2 + 49*i**5 - 2*i**4 wrt i.\nAnswer: -5280*i**2 - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 20146292?\nAnswer: 2, 17, 296269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Sort -5, -75, -137, -3, 3, 2 in descending order.\nAnswer: 3, 2, -3, -5, -75, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Solve 53240*c**5 - 7260*c**4 + 330*c**3 - 5*c**2 = 0.\nAnswer: 0, 1\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Is ((-5451)\/161)\/(2\/(-98)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: -7+-7569379123\nAnswer: -7569379130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 44164390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 2*n + 7 + 25. Suppose -u + 2*p + 88 = 0, -p + 37 = -3*u + 296. Does 7 divide u\/8 - (-12)\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Work out 336 * 28489.\nAnswer: 9572304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Is 57072\/80 - 6\/(-10) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 43614 and 1764.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Work out 4 * -3550.\nAnswer: -14200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: How many milliseconds are there in 45\/2 of a second?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: -283\/9577 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: -2 * 0.2439824\nAnswer: -0.4879648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten millions digit of 21837109?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is -1814.17 rounded to the nearest integer?\nAnswer: -1814","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -85, 4278, 16065, 38972, 76695?\nAnswer: 132930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 12 and 3436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (s*s**4)**(37\/4)*s**(9\/2)*s\/((s*s\/s**1)\/s) assuming s is positive.\nAnswer: s**(207\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let f(p) = -2*p**3 + p**2 + 25*p - 7. Let s(t) = t**3 - 13*t + 4. Let a(n) = -6*f(n) - 11*s(n). Let k be a(7). Is -0.3 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -i**4 - 58005*i**3 + 7154*i wrt i?\nAnswer: -12*i**2 - 348030*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -1\/3 in 2\/5, -7, 1\/5, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Solve -64*u + 376 = 1316 + 724 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((17\/(-119))\/((-6)\/(-6)))\/(6\/(-35)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Is 17439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Divide -78610140 by -534.\nAnswer: 147210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Is 1452109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*q - 4*w = -7*w + 13, -2 = q - w. What is the least common multiple of q and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the oth term of -10, -16, -42, -100, -202, -360, -586, -892?\n\"Answer: -2*o**3 + 2*o**2 + 2*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -11 + 23 - 8 + x**2 + 77 + 17 to the form u*x**2 + g + b*x and give g.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} -{"text":"Question: Convert 0.2364049cm to meters.\nAnswer: 0.002364049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let l be 0 - 4\/(8\/(-86)). Suppose 4*q - l = -5*v, 6 = q + 2*q. Solve -4*m + 4*b = -28, 0 = 4*m + m + 2*b - v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 4602 is divided by 381.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is -1 + -101010111010?\nAnswer: -101010111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Is 14720\/30 - (-1)\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 2869991417 to the nearest integer?\nAnswer: 1421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((5*(sqrt(156) - (sqrt(156) - (sqrt(156) + -2*sqrt(156)*2))))\/(sqrt(60)\/(sqrt(5) + sqrt(15)\/sqrt(3))*1))**2.\nAnswer: 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Solve 11*t - 9 = -2*i, -174*t + 3*i - 2 = -179*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Solve 6*b + 190 = 10*b - 3*x + 198, -6*b = 5*x + 50 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Does 18 divide 1526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Solve -5*f - 138*f = 164*f - 1842 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let c(z) = 12*z - 269. What is c(22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Sort -1, -0.54, 1\/4, 4, 1\/8, -0.2 in descending order.\nAnswer: 4, 1\/4, 1\/8, -0.2, -0.54, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Factor -192*r**3 - 1964016*r**2 - 2454795*r - 767100.\nAnswer: -3*(r + 10228)*(8*r + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let c(h) = -h + 15. Let j(o) = 2*o**2. Calculate c(j(u)).\nAnswer: -2*u**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Solve 19*k - 20*k + f + 20 = 0, 0 = -k - 6*f + 27 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Divide -12810 by -10.\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Round -1.522 to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of -16*m**4 + 3810*m**3 - 768*m - 42148011 wrt m?\nAnswer: -64*m**3 + 11430*m**2 - 768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let x be 0 + -10 + 3\/(6\/8). Let w(s) = -s**2 - 2*s - 1. Determine w(x).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 322*c - 2*c**3 - 318*c - 15*c**3 wrt c?\nAnswer: -102*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of 496 and 3872?\nAnswer: 120032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Is 1687056335 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Is 29000667947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: 3de (base 16) to base 6\nAnswer: 4330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (5\/(-30))\/((-1)\/(-8)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let t be -4*(-1)\/(-12)*-54. Let i be 1\/1*12\/t. Which is the nearest to i? (a) 2 (b) 17\/4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -4325840 rounded to the nearest one hundred thousand?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Factor -2*k**2\/7 + 31516*k + 99013182\/7.\nAnswer: -2*(k - 110753)*(k + 447)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((270\/(-15))\/36)\/(115\/11270*(-2)\/2).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -90? (a) 30 (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 7392340.\nAnswer: 2, 5, 89, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(11) + 3 + -1)*4 + -3 - ((sqrt(88) + -2*sqrt(88))*-5)\/(-2*sqrt(72) + sqrt(72) - sqrt(72)).\nAnswer: 5 + 29*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.50653221 to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -10*3\/18*3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Convert -62 (base 10) to base 9.\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the rth term of -1204, -2407, -3610, -4813, -6016, -7219?\n\"Answer: -1203*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 4041398.\nAnswer: 2, 43, 46993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third biggest value? (a) 28\/1319 (b) 0 (c) 996.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -7 = -3*q + 2. Let d(s) be the second derivative of 1\/2*s**2 + s + 0 - 1\/6*s**q. What is d(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many decades are there in 4926.5 centuries?\nAnswer: 49265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Is 86112 a multiple of 552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Put 3, -5, -3, -12, -4, 267 in decreasing order.\nAnswer: 267, 3, -3, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 884 = -7*g - 271. Let u = g - 34. Is 6 + 2 + -4 - u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-4 + sqrt(539) + -2 + sqrt(539) + 0 + (-2 + sqrt(11) + sqrt(22)\/sqrt(2) - (sqrt(176) + 0)))**2.\nAnswer: -192*sqrt(11) + 1648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -45\/998 and -70\/71853?\nAnswer: 71709294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: How many decades are there in 2847119.1 months?\nAnswer: 23725.9925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let p(c) = -c**3 - 8*c**2 + 38*c + 180. Let j be p(-10). Solve j = -l - 4*u + 13, 17*u - 12*u = 4*l - 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -19*s**2*w*x**2 + 7*s**2*w*x + 12*s**2*w + s**2*x + 653922*w*x**2 + 2*w + 2117*x wrt x.\nAnswer: -38*s**2*w + 1307844*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let w(y) = y**2 + y + 5. Let r(k) = -k**2 - 2*k - 8. Let s = 168 + -164. Suppose 3*n - s + 29 = -5*o, -20 = 4*o + n. Give o*r(q) - 8*w(q).\nAnswer: -3*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let n(j) = 5*j - 12. Let d(k) = -6*k + 15. Let g(w) = -4*d(w) - 5*n(w). Let a(l) = -33*l**2 + 2*l. What is a(g(c))?\nAnswer: -33*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 p, 1 m, and 1 g when three letters picked without replacement from spmpggmmsgpppsrp.\nAnswer: 27\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let t(d) = d - 27. Let m be t(-20). Let c = 44 + m. What is the nearest to 1\/2 in -1, -2\/7, c?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: -1*(-16)\/12*(-90)\/(-10)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let z(h) = -313*h**2 + 133*h**2 + 187*h**2 + 152*h**2. Let x(j) = 8*j**2. What is z(x(g))?\nAnswer: 10176*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is -15935 divided by 5?\nAnswer: -3187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Simplify sqrt(24)\/(sqrt(288)*5).\nAnswer: sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -158, -165, -184, -221, -282, -373, -500, -669?\nAnswer: -886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let r(u) be the third derivative of -u**11\/166320 + u**9\/15120 - u**7\/2520 - u**5\/20 - 3*u**2. Let w(z) be the third derivative of r(z). Factor w(x).\nAnswer: -2*x*(x - 1)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 3910 and 2024.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let y(h) = h**2 - 1. Let b(x) = 6000000*x**3 + 3*x**2 - 2*x - 1. Let g(u) = b(u) - 2*y(u). Let f be g(1). What is f rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 229*s - 239*s - 1 + 1 to t + a*s and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is 43\/9 + -5 + (-564)\/(-108)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(a) = -2*a**2 + 186*a. Let n(d) = -443*d. Determine u(n(r)).\nAnswer: -392498*r**2 - 82398*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 181075752 and 12384?\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(77) + (sqrt(77) + 1*sqrt(77))*-6)\/sqrt(7) + 4.\nAnswer: -11*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -5 - -4. Let y be ((-144)\/(-180))\/(((-10)\/25)\/(4\/14)). Sort -0.5, -2, y, n in decreasing order.\nAnswer: -0.5, y, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b = -39293\/8 - -4905. Find the common denominator of 29\/150 and b.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 19 + -21. Let o be 2\/(0 - g) - 3. Let h be -2 + (1 - o) + -8. Let p(j) = j**3 + 8*j**2 + 8*j + 8. Determine p(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 1088.4438 rounded to one dp?\nAnswer: 1088.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -4572 + 20465. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -78*g = -28*g. Is 1624 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(v) = 10*v**2 - 58*v + 13. Let z be u(9). Suppose 0 = -6*p - 67 + z. Calculate the remainder when 153 is divided by p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express 5*y**2 - 11*y - 617*y**3 + 614*y**3 + 6 - 8 in the form m + j*y**2 + w*y**3 + a*y and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 1\/99 + -302\/495. What is the closest to 44 in n, -0.4, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 21944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 2*d + 3*j + 16, j = 3*d + 28 - 26 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (1 + -3*-2*sqrt(243)*4)**2*3.\nAnswer: 1296*sqrt(3) + 419907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 5*d + 2*b + 31, -22 = 5*d - 378*b + 377*b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 68363 and 130287.\nAnswer: 65013213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is 3803767 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 604054014?\nAnswer: 2, 3, 23, 4377203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let u(z) = 9*z + 40. What is the remainder when u(8) is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -11*o - 8*o - 3686. Let k = o + 193. Which is the biggest value? (a) -4\/5 (b) k (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -1 + (sqrt(3)*2*6 - 3*sqrt(3)*-3)**2 + -2.\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-4*(sqrt(343)*-2 + -4 + sqrt(7) + (sqrt(7) + sqrt(21)\/sqrt(3) - sqrt(7))) + -1)**2.\nAnswer: 1440*sqrt(7) + 16353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let v be (216\/(-36))\/((-2)\/12). Let o = 1 - 4. Let j = 1 - o. What is the greatest common factor of v and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 433774?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 4:58 PM and 2:26 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the lth term of -1526, -1554, -1580, -1604?\n\"Answer: l**2 - 31*l - 1496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 44\/(-33)*3*-2 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -2*r + 7*r - 3*z - 133, 2*r + 5*z = 16. Suppose -m + 11 = -55. Calculate the remainder when m is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (2*a + a - a)*(-906 + 906 - 771*a + (2*a + 4*a - 5*a)*(6 - 4 - 3))*(-1 + 0 + 0).\nAnswer: 1544*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: 80 + (1 - 5) + -31\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let k(t) = 280*t + 41. Let v(y) = 70*y + 10. Let u(d) = -2*k(d) + 9*v(d). Suppose 5*j + 3*a = 64, 0*j + 48 = 3*j + 5*a. Is u(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 4933 is divided by 141.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Sort -5, -4489, 5, -3.\nAnswer: -4489, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let q(b) = 227*b**3 + 2*b**2 + 3*b - 3. Give q(1).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let y be 4 - 4 - (0 - 1). Let v be -1*y + (-10)\/(-50). Which is the nearest to 0.1? (a) 3 (b) 1\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort 5, 0, 15, 265 in decreasing order.\nAnswer: 265, 15, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 575523 to the nearest integer?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 4 + 4*sqrt(57)\/sqrt(3).\nAnswer: 4 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is 720.4705 litres in millilitres?\nAnswer: 720470.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of -272741 and 1?\nAnswer: -272741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -c - 24 = -2*w - 13, -6 = -2*c - 3*w. Let f be 4\/3*c*(-1)\/(-46). What is the second smallest value in f, 0, -3, 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide 57 by 2518.\nAnswer: 57\/2518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3*f**3 + 174*f**2 = 0.\nAnswer: 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let z be -2 + 1 + 1 + 9. Let k be (-6 - (-81)\/36*3)*4. Suppose -k*n = -4*g + 1 - z, -2 = 4*n + g. Solve 4*v = -n*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(p) = -4*p + 10. Let n(s) = -11*s + 31. Let u(h) = -8*k(h) + 3*n(h). Let r be u(6). Let x = 4 + r. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -18186 - 208*p**3 + 18186.\nAnswer: -208*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let i(u) be the first derivative of -u**2 - 6*u + 1290. Calculate i(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: 5100aa (base 14) to base 12\nAnswer: ab6632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (y**(-5\/6)\/y*y*y*y**(-20)*y*y)\/(y**14)**21 assuming y is positive.\nAnswer: y**(-1871\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Solve -h + c - 3 = 0, c - 10 = -2*h - c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*c + 2*j = -8, 12 = -4*c - 3*j - 0*j. Solve -q - 3*a + 2 = 4, -4*q - 4*a - 8 = c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -28663\/6 - -4777. What is the smallest value in u, -1\/8, 2\/7, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 74.03 - 63. Let n = v + -11.029999487. Round n to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 10 + -13. Let i(k) = 10*k - 94. Let s be i(9). Put -1, g, 3, s in descending order.\nAnswer: 3, -1, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 7, what is 2 - 6255330051?\nAnswer: -6255330046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let q(u) = -22*u**2 + 5. Let b(j) = -j**2 - 1. Let c(r) = 5*b(r) + q(r). Let h(f) be the third derivative of f**5\/60 - 108*f**2. Give h(c(p)).\nAnswer: 729*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: -4115 or -4947?\nAnswer: -4115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let b(l) = l**3 + 3*l**2 - 3*l + 5. Let j be b(-4). Suppose 3*g - 5 = j. Suppose 0*n - g*r - 89 = -5*n, 0 = -4*n + r + 73. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort 78, 6, 18382 in ascending order.\nAnswer: 6, 78, 18382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Is 16142065117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = k + 2*d + 3*d - 25, 5*d = -4*k + 25. Let f(j) = -7*j**2 - 9 - 9*j + 4*j**2 + k + 2*j**2. Calculate f(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*n + 27 = -z - 0*z, 5*z = -n - 21. What is the hundreds digit of 259 + 1\/(n + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4*f - 11 + 7 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Is 68 greater than or equal to 105\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the seventh root of 750 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: 9 + (22 - 29) - -5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -367713435, -735426868, -1103140301, -1470853734, -1838567167?\nAnswer: -2206280600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -8*q + 3*q - 7*q**2 + 0*q - 4*q wrt q.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second biggest value in -8, -3\/2, 0, 65\/3, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 9 + -7. Suppose -2*y = -6 + t. Solve -n + y*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -4520*s**3 + 4319*s**2 - 4515*s**3 + 13549*s**3 - 4518*s**3 to w*s**3 + f + n*s + k*s**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is (-12)\/72*(-4 - (3 + -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -10439*p**4 - 524*p + 6 wrt p.\nAnswer: -125268*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 457 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-4*t**3 - 5*t**3 - 4*t - 4*t**3)*(3 + t - 3).\nAnswer: -13*t**4 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Put -1, -201, -5 in descending order.\nAnswer: -1, -5, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let g(r) = -19*r - 61. Let k(i) = -6*i - 22. Determine -3*g(n) + 8*k(n).\nAnswer: 9*n + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 5604 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the first derivative of -13854*c**4 + 50431?\nAnswer: -55416*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Is 4474273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -8*u = -1064 + 1008. Solve 2*b = -u + 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 18 - 17.6. Let u be (8\/(-14))\/((-30)\/(-70)). Which is the third biggest value? (a) k (b) 0.5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express 2*i - 637*i**3 + 0*i**2 + 8*i**2 + 3*i**4 + 635*i**3 in the form s + c*i**2 + j*i**3 + d*i + q*i**4 and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let j = -5.7 - -7.26. Let u = -0.56 + j. What is the nearest to u in 0, 5, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.3837 minus 0.6?\nAnswer: -0.2163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 1247646148?\nAnswer: 2, 7, 44558791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*f + 3*t = -2*f - 28, 5*f - 2*t - 59 = 0. Let r be 6\/15 - 64\/10. Let c(o) = o - 2*o - 2 + 2*o + 0*o. Let u(p) = 2*p - 4. What is f*c(y) + r*u(y)?\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Are 31\/51 and -0.03 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: -66.038 + 415136.55\nAnswer: 415070.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Solve -k**4 + 52*k**3 + 964*k**2 - 2512*k - 8448 = 0 for k.\nAnswer: -16, -2, 4, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let f be 1\/6*(-28)\/(-42). Let s = -2\/685 - -1384\/4795. What is the closest to -0.1 in s, f, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -10 + 45. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 1143*n - 620*n - 15*n**2 - 523*n.\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -k - 7 + 28 = 0. What is the second derivative of -731*y - 726*y + 1471*y + 3 + k*y**2 wrt y?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 138 + -98. Suppose -2*g + o = p - 133, -4*p = -g + 100. Is g a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 6482?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is ((-126)\/(-504))\/(4\/(-16))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: 203341324 (base 6) to base 8\nAnswer: 15352564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: In base 14, what is -d4 + 8c80?\nAnswer: 8b8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let q(t) = 10 - 7 + 4*t - 3*t. Suppose 0 = -3*i - n + 4*n - 267, 0 = 3*n + 15. Let j = i - -91. Calculate q(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-3 + sqrt(13)*2 + 1 + (sqrt(325) - (sqrt(325) + -2*sqrt(325) - sqrt(325))))**2.\nAnswer: -68*sqrt(13) + 3761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let d = -117 - -117.053. Let p = d + 0.547. What is the third smallest value in p, 1\/9, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -m**2 - 4 + 4*m**2 + 4.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((-1 + (sqrt(1573) + -1 - sqrt(1573)) + 2)*-3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -3.61 - -0.61. Which is the closest to 2? (a) -2\/3 (b) v (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many millilitres are there in 59\/5 of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let a(b) = 806*b + 43526. Let z be a(-54). Let v(t) = t**3 - 2*t**2 + 2*t - 2. Let m be v(2). Solve -z*n = -l - 9, -n = -2*l + m*n - 14 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put -3, 0.5, -0.4, -16.02512 in ascending order.\nAnswer: -16.02512, -3, -0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 148792 divided by -2.\nAnswer: -74396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(9)*-2*2 - sqrt(9))*1)\/(-2*sqrt(48)*-1).\nAnswer: -5*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is (4 - ((-9)\/(-1) + -1)) + -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-3*k + 3*k - 2*k)*(-3 + 0 + 1 + (0 - 2 + 1)*(-1 + 0 - 1) + 1 + 0 - 2 - 3 + 1 + 3 + 1 + 5 - 1).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*a + 0*a + 147 = 3*z, 2*z + a - 95 = 0. Let b be (2 - -1)*48272\/z. Suppose 3*d - b = 3973. Round d to the nearest one hundred.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 30453 + -30453.1. Suppose -4*i = -2*g + 24, g - 2*g - 3 = i. Let b be (-1)\/g*(2 - 2). Sort -1\/9, b, m in decreasing order.\nAnswer: b, m, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -661 = 25*r - q - 731, -5*r = -4*r + 3*q + 58 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -0.11 - -26.11. Let t = 26.00017 - y. What is t rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b be 1 - -3 - (-25 - -2). What is the highest common factor of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 124.3 + -132. Let u = o - -7. What is u rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: 1793 * -136871\nAnswer: -245409703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*p = -h, -h - 2 = -3*h + 2*p. Differentiate 2 + 0 - 4 + h*v wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 27925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 45 and 17673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 192*r + 429*r - 324*r + 420*r + 481*r.\nAnswer: 1198*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: How many nanometers are there in seventy-two fifths of a micrometer?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 8*u - 12*u + 116. What are the prime factors of u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert 504a (base 11) to base 7.\nAnswer: 25363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 16*q - 38*q = 53*q - 150. Let y**q - 2\/3*y + 0 = 0. What is y?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the lowest common multiple of 672 and 24752?\nAnswer: 148512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: 2 divided by 46\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.0000357701 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let p(m) = 5*m + 2. Let k(d) = -135*d - 55. Let r(c) = 2*k(c) + 55*p(c). Let v be (-5)\/(-2)*(-4)\/(-5). Let i(z) = v*z + 13*z - z. Determine 6*i(y) - 17*r(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Put 836, -3, 13, 8, -6, 0, 3 in descending order.\nAnswer: 836, 13, 8, 3, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 97.92 - 98. What is the smallest value in -0.2, 2\/3, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 8*r - 465 = 3*r. Let s = 35 - -115. Let g = r + s. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -s - 1096 = -1100 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let h(w) be the first derivative of -5*w**4 - 204*w**3 + 444*w**2 - 256*w - 309. Factor h(a).\nAnswer: -4*(a - 1)*(a + 32)*(5*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t be -1*1\/((-2)\/8). Let j = -11156 + 11158. Solve 0*g - g = -2*h - t, 0 = 3*g + j*h + 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -3.8 + 1.8. What is the nearest to -1 in -2\/7, q, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 2*l + 9*l**3 + 9*l**3 - 21*l**3 to k*l**2 + y*l + a + o*l**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 7036881.\nAnswer: 3, 71, 33037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: In base 10, what is 3 + 42?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let s be (-38)\/(-171) + 1037\/(-9) + -3. Let o = -79 - s. What is the tens digit of ((-12)\/8 - -2)*4 + o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 2*m**4 + m**4 - m**4 + (57*m**4 + 477*m - 477*m)*((-1 - 3 + 3)*(1 + 0 - 3) + 1 + 1 + 0) to the form w*m**3 + z*m**4 + q + v*m**2 + y*m and give z.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} -{"text":"Question: Let y = -23 + 17. Let k(a) = 0*a**2 - a**2 - 22*a + 3 + 18*a. Give k(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 1692*z - 9176*z - 789*z - 5559*z.\nAnswer: -13832*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Is 568311648 a multiple of 808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 61 = 4*r - 3. Let d(p) = 11 + 6*p - r + 5. Let u(f) = -f**2. What is d(u(m))?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Solve -20*w + 29*w = -39*w - 672 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let g be 4 + ((-352)\/(-20))\/(-4). Let q be -6 - (-15)\/((-60)\/(-8)). Let l be (-18)\/4*6\/9. Which is the closest to -1? (a) q (b) l (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide -330528 by 22.\nAnswer: -15024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 90407 = 2*z + 3*s, 0 = 10*z - 8*z - 4*s - 90428. What are the prime factors of z?\nAnswer: 2, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(z) = -6*z**2 - z + 12. Let q(y) = -17*y**2 - 3*y + 34. Let j(w) = -11*f(w) + 4*q(w). Determine j(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*x - 14*v = -15*v - 50, -2*v = 4*x - 44. Calculate the least common multiple of 26 and x.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(h) = -3*h - 39. Let l be o(-12). Let s(x) = -x + 8. What is the tens digit of s(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put 3, 3\/5, 0.5, -2, 317 in increasing order.\nAnswer: -2, 0.5, 3\/5, 3, 317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 p, 1 c, and 1 o when three letters picked without replacement from pccob.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: In base 4, what is 3 - -302?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let o(g) = -g**3 + 12*g**2 + 4*g - 10. Let d be o(11). Suppose -2*h = 3*h - d. What is the remainder when h is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 402 minutes before 1:30 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 229131*x**3\/5 + 1374792*x**2\/5 - 1603881*x\/5 - 42\/5 = 0. What is x?\nAnswer: -7, -2\/76377, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 35 - 35. Which is bigger: 2\/41 or n?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 2695 and 25480?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 539*f - 108 + 387*f - 905*f to the form m + v*f and give m.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let b = 35304 + 74683. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*k - 60 = -68 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(90)\/(sqrt(6)\/sqrt(2)))\/(sqrt(216)*1 + sqrt(216) - sqrt(6)).\nAnswer: sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Is 15458861459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the ath term of -1097562243, -1097562241, -1097562239, -1097562237, -1097562235?\n\"Answer: 2*a - 1097562245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 4*(0 + sqrt(38)\/sqrt(2) + -1*(3 + sqrt(19))) + ((-6*sqrt(76)*1 + -5)*-5)**2.\nAnswer: 3000*sqrt(19) + 69013","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 12.4 + -17.874. What is x rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -52*z - 42 = -59*z. Suppose z*g = -1 + 25. Solve p + 4*s = -0 - 7, g*s = -4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(z) be the first derivative of z**4\/4 - 2*z**3 + 2*z - 2. Let g be f(6). Solve 8*i**g - i + 12*i**4 - 19*i**3 - 7*i**3 + 7*i**3 = 0.\nAnswer: 0, 1\/4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort 0.2, -0.02, -0.0210888 in descending order.\nAnswer: 0.2, -0.02, -0.0210888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let d(t) = -1 + 6 + 23*t + t**2 - 3 + 7. Let i = -3190 - -3177. Let j be d(i). Is -121 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the vth term of 270, 265, 260?\n\"Answer: -5*v + 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -3 + -26 - (-28 - -6 - (-204)\/17).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(y) = y. Let x(c) = -4*c + 18. Let z(q) = 3*s(q) + x(q). Let m(g) = 2*g - 13. What is the least common multiple of z(9) and m(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {o: 1, q: 11}. What is prob of picking 3 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 6*o**2 + 8*o**2 - 16*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -0.854228 + -0.053232. Round w to 3 dps.\nAnswer: -0.907","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: -5 (base 12) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 8346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 0.06 - -1.94. Let k = -1 + u. Is k greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in z + 2*z + 0*z + 338 - 338.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of 39\/182980 and 29\/2940?\nAnswer: 3842580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Is 2145972191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: 237673 (base 8) to base 4\nAnswer: 103332323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is 249 minutes before 12:32 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Round -11841757 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: In base 13, what is 5 + 54?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: In base 12, what is -18 - 0?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: In base 9, what is 517020 - 26?\nAnswer: 516883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 15 + 10. Suppose 4*c + 24 = d + 10, -3*c = 5*d + 22. What is the remainder when u is divided by (-14)\/(-1) + c + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 48\/4331 and 17\/39.\nAnswer: 168909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is -7ab - -f?\nAnswer: -79c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let v(p) be the first derivative of -960*p**3 - 561*p**2 + 1859. Find the second derivative of v(o) wrt o.\nAnswer: -5760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -855 minus 3?\nAnswer: -858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -50*m + 24 = -47*m + 3*u, m + 4*u = 20. What is the remainder when (-3 + 0 + 0)*-14 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is (6 - -1) + 0\/3 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 123*z - 76 = 85*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Put -1, 95.8, -34, 201 in increasing order.\nAnswer: -34, -1, 95.8, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 5817, 22978, 51503, 91392?\nAnswer: 142645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*j = -7*j + 15. Let w(g) = -3*g - 5. Let y(z) be the third derivative of z**4\/6 + z**3 + 4*z**2. Let d(u) = j*w(u) + 4*y(u). What is d(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4 + 4 = 4*h. Let b be (133 - (5 - 11)) + -6. Suppose -3*o + 5*f - 37 = -b, 59 = h*o - 5*f. What are the prime factors of o?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 8, what is -57407 + -33?\nAnswer: -57442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((3*sqrt(105))\/sqrt(5))\/sqrt(3).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*b = -9*b + 1170. Let k = 439 - b. Is 21 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -142 + 177. Calculate the lowest common multiple of v and 15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f be (-6)\/((-24)\/4)*(11 - 1). Suppose -2754 = -f*n + 2826. Is 62 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -2.17465625565 + 0.\nAnswer: -2.17465625565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Divide -73591 by 515.\nAnswer: -73591\/515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 32 + -22. Suppose q + 1 = -11*x. Let i(w) = -3*w - 4. Let h(b) = -b - 1. Let v(k) = x*i(k) + 6*h(k). Calculate v(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*n = 4*n + 5*o - 7, -4*n - o + 27 = 0. Suppose 3*v = 4*v - n. Suppose 4*q - 86 = 3*y, 5*q + 2*y = q + 96. Solve q = 3*c + v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from aadaxxxxxxxxaaxxxada. What is prob of picking 2 a?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let v(o) = 4*o**3 - 9*o**2 - 8*o - 14. Let k be v(10). Is (k\/4 - 1)\/((-116)\/(-232)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 77 - 72. Let h be 10*y\/((-50)\/(-36)). What is the highest common divisor of 180 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -3 + 7 + (4 - 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 28998 and 1257654.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Simplify b*b**4*b\/b**(-6) assuming b is positive.\nAnswer: b**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -8\/101 (c) 0 (d) -1\/6 (e) -6 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 522 and 126498?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let m be 33\/99 - (-1)\/3*1805. Let o = 605 - m. Solve 0 = -o*l + 3*k - 24, -32 = 5*l - 2*k - 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -543*d**3 - 310*d**3 - 481*d**3 + 1805*d**3.\nAnswer: 471*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Is 1924459127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*w + 4 = 4*p, w - 32 = 5*w - 2*p for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: In base 6, what is 525550 + 130?\nAnswer: 530120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Solve 104 - 52 = -13*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let o(u) = -7*u. Let r(k) be the first derivative of -3*k**5\/20 + k**2 + 27. Let l(z) be the second derivative of r(z). Calculate l(o(m)).\nAnswer: -441*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is -7000 rounded to the nearest 100?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 133629045 and 4059.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -2*o + 3*o - 77. Let j = o - 694\/9. Let r = 223\/1266 + -2\/211. Put j, r, 0.4 in descending order.\nAnswer: 0.4, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 3962 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Convert 3 (base 7) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 4:00 AM and 6:47 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Product of -15.19 and -110.\nAnswer: 1670.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Is 252313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 780 and 442208.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Is 3790140 a multiple of 362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (89 + 100 + -188)\/((79\/5)\/((-2)\/(-5))).\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let m = -9 - -9. Suppose 2 = -g + 2*g + 4*u, m = -2*g - 3*u + 14. Suppose -4*r + g - 2 = 0. Solve t + r = 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -13ee8 (base 16) in base 8?\nAnswer: -237350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose h = -4*t + 75, -6*h + 9 = -3*h. Suppose 13*o = t*o. Which is the closest to o? (a) 1\/7 (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(s) = 1381*s**3 - 1. Let t be i(-1). Let c be 4\/14 - t\/14. Calculate the highest common factor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 15662357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is -128.7 rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: -90 - (7 + 2 + -1200 + 1172)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let b be (456\/(-36))\/(1\/(-57)). Suppose 0 = -3*p + 9, -2*p + b = 5*c - 3*p. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from ujujjjjjjj. What is prob of sequence uuj?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -1*(5 + -2 + sqrt(272) + sqrt(187)\/(-5*sqrt(176)))**2.\nAnswer: -109697\/400 - 237*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*j + 0*j + 10 = 0. List the prime factors of j*50\/(-35)*-14.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b = -64 - 60. Let l = b + 177. Suppose 10 = k + k + 4*o, -3*o - l = -4*k. Calculate the remainder when 43 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.5 (c) 34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is 11\/2 of a year in months?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let c = 30176509.606227 - 30176480. Let d = c - 29.7736. Let p = 0.167 + d. What is p rounded to 5 dps?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 1 + -2. Let g = -8 + 10. Let x be g*(-1 - (1 + k)). Let h(p) = 3*p**2 + 3*p + 1. Determine h(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((h*(h**(5\/2)\/h)\/h*h)\/h)\/(h*(h*h\/(h*h\/(h*h**(-2\/23)*h)*h)*h)\/h) assuming h is positive.\nAnswer: h**(-19\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 66 = 10*a - 9*a. What is the greatest common divisor of a and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -318654, -318653, -318652, -318651?\nAnswer: -318650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the mth term of -1839, -3399, -4957, -6513, -8067, -9619?\n\"Answer: m**2 - 1563*m - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -3*g*z**3 - 9038*g*z**2 + 113170*g - 2*z**2 - 2 with respect to z.\nAnswer: -9*g*z**2 - 18076*g*z - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Convert 485914.2 tonnes to micrograms.\nAnswer: 485914200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let f(n) = -n + 4. Let o be f(6). Does 24 divide -1 + (-150)\/(-2) + o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -4927 in 1\/9, -1, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let m = -2363\/4 - -602. Calculate the common denominator of m and 2\/(-5) - 2439\/90.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.00202225049 to five decimal places.\nAnswer: -0.00202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 3753 and 513.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -s - 20 = 3*s. Let v(p) = -39*p + 7 + 18*p + 28*p + p**2. Give v(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 1316 - 391. Let k = 928.97 - o. Let v = 0.03 + k. Sort -2\/7, -4, v in decreasing order.\nAnswer: v, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(h) = 8*h. Let a(l) = l**3 + 13*l**2 - 14*l + 2. Let o be a(-14). Let d(n) = -4 + 6 - 2 - n**o. Determine y(d(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Factor -3*u**2 + 1035*u + 68742.\nAnswer: -3*(u - 402)*(u + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -32\/13325 and 97\/42640.\nAnswer: 213200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let d(i) = 94*i**2 - 11*i + 9. Let b(a) = a**2 - 2*a + 2. What is 5*b(z) - d(z)?\nAnswer: -89*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -119 + 91. What is the remainder when 8\/14 - 1972\/r is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 280164 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Determine n so that 2\/7*n**5 - 16\/7*n + 8\/7 + 2\/7*n**2 - 10\/7*n**4 + 2*n**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -403700 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -71*w + 168*w - 685 = 479. Put 4, w, 91 in decreasing order.\nAnswer: 91, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -65*i + 3 = -64*i. Factor 140*l**2 + 25*l**i + 31*l**3 - 78*l**3 + 17*l**3 + 150 + 295*l.\nAnswer: -5*(l - 30)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the pth term of -2362, -2385, -2408, -2431, -2454?\n\"Answer: -23*p - 2339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let c be -3*(-1)\/1*3. Let m(a) = -a**2 + 9*a + 5. What are the prime factors of m(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put -3, 3, 4, -134, -1284, 0 in ascending order.\nAnswer: -1284, -134, -3, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.00002079062667 to 7 decimal places.\nAnswer: -0.0000208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: 45\/28 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let g(w) = 2*w - 4. Let u(f) = 2*f. Let b be u(2). Let z be g(b). What is the third derivative of z*y**3 + 2*y**2 - 3*y**3 - y**3 + y**3 wrt y?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the qth term of -45, -41, -37, -33, -29, -25?\n\"Answer: 4*q - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let i(c) = 75*c**2 - 43*c - 14. What is the units digit of i(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -4.4756 rounded to 2 decimal places?\nAnswer: -4.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: -578.468 + 5\nAnswer: -573.468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 7128690.\nAnswer: 2, 3, 5, 293, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {b: 3, v: 1, k: 2, f: 9, n: 3}. Give prob of picking 1 n, 1 b, 1 f, and 1 k.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -658 - -659. What is the closest to v in 2, 0.1, -2, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -7 - 16*c**3 + c - 12*c**3 + 2*c**4 - 2 + 2*c**2 + 28*c**3 to the form r*c**2 + w*c**3 + a*c + y*c**4 + h and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.1461 to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Is 1332246 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: How many milliseconds are there in 13\/4 of a second?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let u(l) be the third derivative of l**8\/6720 - 19*l**7\/5040 - 7*l**6\/360 - 2*l**5\/5 + 26*l**2. Let h(t) be the third derivative of u(t). Factor h(d).\nAnswer: (d - 7)*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(q) = -3*q - 1. Let j = 9 + -1. Suppose -2*p - j = 0, -5*y + 13 = -4*p + 2. Let t be c(y). Is 1 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose b + 2*b = 18. Let f = b - 3. What is the second biggest value in f, 0.2, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -518, -4090, -13772, -32618, -63682?\nAnswer: -110018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -193*f**2*i**2 - f**2*i*l + f**2*l**2 - 11*f*i**2*l**2 - f*l + 2*f + i**2*l wrt f?\nAnswer: -386*i**2 - 2*i*l + 2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: 3 + 14 + (183 - 223)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let t = -53 - -53. Let l = -6 - -8. Suppose -5*i - l = 13. Which is the closest to 0? (a) i (b) 2\/5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (22\/44)\/(36\/(-576)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Is 8260 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Solve -a = -28*s + 13*s + 117, -5*a + 24 + 5 = 2*s - 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*g + 3*q = -2*q + 268, 2*g = -3*q + 260. Let c = 255 - g. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand -41*j**2 + 2055*j - 2055*j + (2*j - 4*j + j)*(0 + 0 + 2*j).\nAnswer: -43*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -74, -148, -222?\nAnswer: -296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 738.0864 centuries in months?\nAnswer: 885703.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten millions digit of 292845757?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -0.3 in -49, 0.07, 0.037?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is 453.95 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let z = 2.5 + -3. Let m be (224\/10)\/2 - 1080\/90. What is the fourth smallest value in m, -3, 0.8, z?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 5551 or 5548?\nAnswer: 5548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 13*r**2 + 12*r**2 - 44*r**4 - r**3 - 10 - 788*r + r**5 - 30*r**2 + 796*r wrt r?\nAnswer: 60*r**2 - 1056*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 48851200?\nAnswer: 2, 5, 17, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let o = -219 + 221. Put -2, 4, o in ascending order.\nAnswer: -2, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(z) = -2*z**2 + 16*z - 9. What is the tens digit of b(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -q - 5 = 0, 6*q - 11*q + 4055 = 2*f. Suppose -9944 - f = -28*l. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 132640829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} -{"text":"Question: Suppose -5 = 4*z + 15, -2*z - 26 = -4*r. Let x be (-2)\/r + (-158)\/(-4). Suppose x = 3*y + m, 5*m - 2 = -y + 25. Calculate the least common multiple of y and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 15*r = -14*r + 15*r + 182 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Multiply 2 and 226.\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*b - 2*b - 23984 = -2*r, 3*r - 35992 = 2*b. What is r rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -279*d + 1820 + 4039 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Is -335 less than 0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let r(m) = 4*m - 5*m - m. Let k(j) = -9*j**2. What is k(r(b))?\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*o = 2*t - 281, 0 = t + 3*t - 4*o - 532. Let i be (9\/12)\/(4\/(t\/684)). Which is the closest to 0? (a) 2 (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -0.1 in 0.229, -5\/2, -1\/2?\nAnswer: 0.229","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let k(c) = -5*c**3 - 8*c**2 - 3. Let h(j) = 4*j**3 + 7*j**2 + j + 3. Let a(z) = 4*h(z) + 3*k(z). Let t be a(-3). Solve d - f - 3 = 0, t*d + 3 = 3*d - f for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -893025.9943 - -892924. Let w = -102 - r. Round w to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (4*b - b - b)*(1 + 3 - 6) + 2 - b - 2 - 4 - 5 + 3 - 2*b.\nAnswer: -7*b - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -7*d + 27*d - 4*d + 14*d.\nAnswer: 30*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from uymumuyyeeyuyyyuuumy. Give prob of picking 1 u and 2 e.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Is 115089120 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Put 7, 1, 50, -4, 2 in decreasing order.\nAnswer: 50, 7, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 11439*d**2 - 5716*d**2 + 3*d**3 - 5715*d**2 + 0*d**3 - d**3.\nAnswer: 2*d**3 + 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Simplify v*v**5\/v*v\/(v\/(v*((v*v*v**(-5\/2))\/v)\/v)*v)*(v**9*v)\/v**(-7\/3)*v**9\/(v**(-3)*v)*v**2\/v*v**(3\/5)*v assuming v is positive.\nAnswer: v**(853\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: -2 divided by 3903\nAnswer: -2\/3903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 244 divided by -2.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence mth when three letters picked without replacement from {z: 1, h: 5, m: 2, t: 1, k: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 27209559 is divided by 127.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the second biggest value in -0.13196, 2, -5?\nAnswer: -0.13196","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let a(t) = -t - 2. Let j be a(-2). Suppose j = r - 0*r - 1, -3*m = -r - 23. Solve 2*x = -6, m*x = -4*y + 3*x - 35 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 231150656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let l(x) = 7*x**2 - 27*x + 3. Let m(q) = 8*q**2 - 27*q + 4. Give 6*l(w) - 5*m(w).\nAnswer: 2*w**2 - 27*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Solve 6*t = 5*t - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let r(i) = i - 47. Let x be r(11). Which is the third biggest value? (a) 5 (b) -1\/10 (c) x (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s = -2377 + 2397. Solve 5 = 22*b - s*b + x, -3*x = 2*b - 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 11761000 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the jth term of 46, 47, 48, 49, 50, 51?\n\"Answer: j + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 168.33 + 2.67. Let p = -171.000000628 + u. What is p rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 11 - 8. Let s = -1 + u. Is (-2409)\/(-15) + s\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when (5 - 10\/(-5)) + -4 + 200 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence kp when two letters picked without replacement from {n: 1, k: 1, p: 17}.\nAnswer: 17\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*w - 62 = -4*q + 103, -2*q - 2*w = -84. Let y(v) = 4*v + 3. Let t be y(4). Let k = q - t. What is the remainder when k is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*j = j + 4*d + 7, 5 = -3*j - 2*d for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -11, -30, -47, -50, -27, 34?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the uth term of 6362722, 12725442, 19088162, 25450882, 31813602?\n\"Answer: 6362720*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 1 in 0.11, 0.06, 1\/118, -7\/2, 5?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 17*n**3 + 17*n**3 + 11*n**3 - 49*n**3.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate ((-59)\/(4425\/20))\/((-1*2)\/(-10)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Expand (3*t**2 + 2*t**2 - t**2)*(-2*t**3 + 2*t**3 + 2*t**3) + 2*t**4 - 2*t**4 + 3*t**5 + (t**3 - t**3 + t**4)*(3 - t - 3) - t**5 + t - t.\nAnswer: 9*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let i(d) = d**2 - 15*d + 19. Let q be i(14). Let b be (1\/2)\/((-3)\/(-30)). What is the greatest common factor of q and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -142, -509, -874, -1237, -1598, -1957, -2314?\nAnswer: -2669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 481*o - 6812*o**2 + 208 + 6812*o**2 - 208 - 6343*o**3 wrt o.\nAnswer: -38058*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*u + 0*m + 16 = -4*m, 0 = 3*u - 5*m - 20. Suppose 0 = -4*c + 3*i + 18, 0*i + 2*i = -4. Suppose u = c*o - 44 + 8. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 0 times 0.08317?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 622 - 628. Let f = 0.3 + -0.4. Which is the second biggest value? (a) 2 (b) i (c) f (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 1 or 69\/64937?\nAnswer: 69\/64937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -80\/297 and 13\/264?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from reprrrrrrrleeprrerl. Give prob of sequence ll.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest value in -1\/9, 0, 5, -1\/61?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*g = 4*s, -2*g - 4*s + 3*s = -6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((-5)\/(-4))\/1*((-4536)\/70)\/(-18).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-7 + 31 + 1)*(145*g - 6*g + 33*g) + (-1 - 2 + 2)*(-4*g + 4*g + 2*g) to s*g + x and give s.\nAnswer: 4298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Expand (5*p + 6*p - 8*p)*(0 - 8 - 8)*(2 + 1 - 1).\nAnswer: -96*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let n(v) = -6*v + 40. Let l be n(6). Solve -5*y = -l*y + 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 1206027055639 + -1.9?\nAnswer: 1206027055637.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Is 36552330163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*y**5 + 2694*y**4 - 37430*y**3 + 141450*y**2 - 202688*y + 95976 = 0. What is y?\nAnswer: 1, 2, 9, 1333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Sort 0, -4, -3, 301, 0.3.\nAnswer: -4, -3, 0, 0.3, 301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*s = 2*s - 3065. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -5*z + 3*j - 30 = 0, -5*j + 10*j - 25 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: 1.138247120839165+0.4\nAnswer: 1.538247120839165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let l(i) = -16*i + 52. Let p be l(-16). Let t(k) = 613*k - 308*k - p*k. Let n(y) = 30*y. Give t(n(m)).\nAnswer: -90*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 57108, 57104, 57100, 57096, 57092?\nAnswer: 57088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*i - 348337 = c, 4*i - 6*c + 9*c = 278700. What is the thousands digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence pqaa when four letters picked without replacement from {d: 9, q: 1, p: 6, a: 2, x: 1}.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 152*f**3 + f - 154*f**3 - 855 - f to x*f**3 + t*f**2 + a*f + g and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Multiply -13628106 and 2.\nAnswer: -27256212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 1526507?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -73.22 + 48.128. Let s = -0.092 - k. Which is the third biggest value? (a) s (b) -2 (c) 0.1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -624133*b**3*t**3 + 716*b**3*t**2*x**2 + b*t**3*x**3 - 2*b*t**2*x**2 + 39*b*x**3 + 1 wrt t?\nAnswer: -3744798*b**3 + 6*b*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 747180419?\nAnswer: 747180419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -9*h**3 - 507*h**2 + 14332*h wrt h.\nAnswer: -54*h - 1014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((sqrt(405) - (0 + sqrt(405)))*-6 - sqrt(405) - (0 + sqrt(405) + -4)) + 4 + 4)**2.\nAnswer: -432*sqrt(5) + 1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Which is the smallest value? (a) -3\/29 (b) 1 (c) -0.0596 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 176 = -2*i - 3*i - o, -66 = 2*i - 4*o. Let s = i - -42. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 51\/2 of a micrometer in nanometers?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 141267, 141305, 141343, 141381?\nAnswer: 141419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: In base 11, what is -7 + 167a?\nAnswer: 1673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Is 455351878 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -23 + 25. Let t(r) = 7*r**3 - 2*r**2 - r - 2. Let v be t(n). What is the tens digit of 0 + v + 0 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(i) = -4*i**2. Let p(r) = -r + 6321. Give p(k(f)).\nAnswer: 4*f**2 + 6321","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 161 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: In base 14, what is 3 - -19d?\nAnswer: 1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let j(n) = n**3 - 940*n**2 - 100588*n + 96. Give j(-97).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Multiply -26.48091 and 1.\nAnswer: -26.48091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let z = 3.06744 + -0.06744. Which is the closest to -0.1? (a) -2 (b) 4\/9 (c) z (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(i) = 49*i - 98*i + 50*i + 9. Let o be y(-4). Solve 50*v**2 + 200*v**4 + 11*v - v + 80*v**5 - o*v + 165*v**3 = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (5*j**3 - 6 + 6)*(-j**2 + 2*j**2 - 3*j**2 + (-3*j**2 - j**2 + 0*j**2)*(-4 + 4 - 1)) + 0*j**5 + 2*j**5 - 3*j**5 + (j - 2*j**3 - j)*(-j + j**2 + j).\nAnswer: 7*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -3 + 5. Suppose -3*u = 15, 348*d - 346*d + 3*u + 15 = 0. Determine g, given that 2\/11*g**3 + 0*g + d*g**l - 2\/11*g**5 + 0 + 0*g**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is -1001001100001010110 + 1111?\nAnswer: -1001001100001000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 6 - 4. Let j be -1*(-3 + -1)\/g. What is the third derivative of j*f**2 - 3*f**2 - 4*f**5 + 3*f**5 wrt f?\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i = -38.9 - -39. Which is the closest to -1? (a) i (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 20346 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -0.4? (a) -2.295 (b) -0.4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from jujtwtkwjwjtj. Give prob of sequence ujk.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 11752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: 3 (base 16) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Is 44 a factor of 84847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is 101111 - -100000000?\nAnswer: 100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Expand 0*k**3 - k**3 + 0*k**3 + (4 - 2 + 1)*(3*k**3 - 4*k**3 - k**3) - 4*k**3 + 2*k**3 + k**3 + 2*k**3 + k**2 - k**2.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Is 31207787423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is 3223380 to the power of 1\/3, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is the difference between 106316 and 206107230?\nAnswer: 206000914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -3*y + 5*u + 26, 5*u + 18 = -37*y + 36*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*r = 19*v - 46, -3*r = 2*r + 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let u(j) = -11*j**2 + 9. Let z(i) = -i**2. Calculate z(u(k)).\nAnswer: -121*k**4 + 198*k**2 - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: In base 6, what is -1550 + 3321515?\nAnswer: 3315525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: -11165403 divided by 2991\nAnswer: -3733","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} -{"text":"Question: Let l = -3 + 14. Let v = 40 - 12. Let i = v - 17. Calculate the highest common divisor of l and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*a + 37 = 151. Let p = a - 12. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -4.92 + -0.08. Let u = -5 - 2. Let n = g - u. Are n and 0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(f) = -3606*f. Let o(g) = -1181*g + 1179*g - 2266 + 2266. Give b(o(m)).\nAnswer: 7212*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -144*0.6415.\nAnswer: -92.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Convert 32031310001 (base 4) to base 14.\nAnswer: 6d0133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 47968, 47939, 47874, 47761, 47588, 47343, 47014?\nAnswer: 46589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the sth term of 14, 57, 130, 233?\n\"Answer: 15*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.000000438156 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 45 + -9. Let g = d - 35.878. Round g to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is -65 smaller than -953\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Sort 2\/3, -2\/11, 0.1, 1\/12 in descending order.\nAnswer: 2\/3, 0.1, 1\/12, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*f + 4*k + 7 = 5*f, -14 = -4*f + 2*k. Suppose -f*a + 9 = 3. Which is bigger: 1\/2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 121790.\nAnswer: 2, 5, 19, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is 0 (base 13) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 13*v - 18*v. Suppose 3*f + 2*d - 7*d + 49 = v, 0 = f + 4*d + 5. Let o(y) = y**3 + 14*y**2 + 4*y - 1. List the prime factors of o(f).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -1768, 709, 3184, 5657?\nAnswer: 8128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let o = -116 - -116. Suppose o = 18*u - 2*u - 128. Solve 0 = 4*h - f - u, -3*h + 0*h + 6 = -f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w(s) = -s**2 + 6*s + 7. Let m be w(5). What is the common denominator of (35\/8 - 1) + 1 and (-7)\/5*(-25)\/m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((v\/(v**2\/v)*v)**(4\/13))**5 assuming v is positive.\nAnswer: v**(20\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is 1984313993 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -5*(-1 + sqrt(12) + 2) - ((sqrt(33) + sqrt(198)\/sqrt(6))\/sqrt(11) + -4 + -1 + sqrt(3)).\nAnswer: -13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -2314 + 213*v + 2314 + (2 + 1 - 4)*(6*v - 3*v - v) - 2 - v + 2 to a*v + d and give a.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let n(z) be the third derivative of 0*z**3 + 0*z + 0 - 15*z**2 - 31\/24*z**4 + 7\/15*z**5. Find the second derivative of n(h) wrt h.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (0 - 3 + 1)*(17 + 5 + 5)*(2*w - 7*w + 3*w) to the form c + j*w and give j.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let b be -400*((-8)\/(-40))\/((-8)\/(-20)*-1). Let t be ((-1616)\/(-4) + -2)\/2. Which is smaller: b or t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 48 - 93\/2. Let a(l) be the second derivative of 0 - l + 0*l**3 - k*l**2 - 3\/20*l**5 + 0*l**4. What is the first derivative of a(g) wrt g?\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*i - 3*i = -5*r + 2060, -3*r + 1215 = 4*i. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put -193, -4, 22 in descending order.\nAnswer: 22, -4, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let d = -4.91 - 0.09. Let t = d + 7. Let b = t - -3. Put -2\/7, -4, b in ascending order.\nAnswer: -4, -2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 300719 is divided by 59536?\nAnswer: 3039","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 1272 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let g(c) = 5*c**2 + 63*c - 24. Let v be g(-13). Suppose 2*y = 5*y - 117. Suppose -9 = w - y. Solve -l = -3*l - 5*i + 15, 4*i - w = v*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third biggest value? (a) -397\/9 (b) -0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 63910 is divided by 12782?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is 10.16 plus -23?\nAnswer: -12.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let u(f) = -9*f - 9. Let n be u(-6). Suppose -46*p + n*p = -240. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g(p) be the third derivative of 2617*p**8\/84 + 1919*p**4\/8 + 612*p**2 + 1. Find the second derivative of g(m) wrt m.\nAnswer: 209360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = m + 3*m - 44. Suppose 3*u - 5*s = -m, 0 = 7*u - 3*u + s - 16. Let i = -4 + 13. Calculate the lowest common multiple of u and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve s = 3*s + 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: In base 6, what is 3 - -5450424?\nAnswer: 5450431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Put together -0.5 and 1628519832.5.\nAnswer: 1628519832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let p = 32 + -29. Put 0.1, p, 5 in descending order.\nAnswer: 5, p, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h(b) = 4*b**2 - 9*b + 1. Let n be h(-4). What is the common denominator of (-6)\/8 + 4\/20 and n\/5*5\/(-6)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Subtract -173846952923 from -0.1.\nAnswer: 173846952922.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is 647 minutes before 4:47 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let t(l) = l**2 + 18*l - 32. Let n be t(-14). What is n rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 12443 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -14*j + 9*j + 20. Suppose -6229 = -j*b + 4407. What is b rounded to the nearest one hundred?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: 0.98174*5383\nAnswer: 5284.70642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 h, 1 k, and 1 g when three letters picked without replacement from hghvkhhv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let k(s) = -3*s + 0*s**2 - s**2 + 3*s. Let x be k(-1). What is the remainder when x\/5 + 224\/20 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: -12 (base 6) to base 13\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Determine q so that 8*q**2 - 8*q**2 + q**2 + 660*q - 108900 - 2*q**2 = 0.\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: -7 + 1 + (110 - 88 - 29)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 17 - 10. Suppose -m + b + j = 0, 2*b - 11 = -4*m + m. Solve 0*f = -m*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred thousands digit of 25073673?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let r(v) = -8*v + 6*v**2 + 2 - 2*v**2 + 4*v. Let d be r(2). Let w(y) = 7*y - 68. Let q be w(d). Calculate the greatest common divisor of q and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -5\/22704 and -95\/2994.\nAnswer: 11329296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -3 in -43, -4, 2, 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when -31*13\/52*(-3 + -369) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -a + 8 = -5*a. Is (196\/a)\/(-2)*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -38\/5727 and 58\/3.\nAnswer: 5727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -7492 + 1531897383.\nAnswer: 1531889891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Sort -4, -0.048, 31 in increasing order.\nAnswer: -4, -0.048, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Does 847 divide 632690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let u(s) = -3*s**2 + 4. Let k be 3\/(0 - -1 - 2). Let v be 3 - 0 - (k + -3). Let g = 13 - v. Let z(q) = q**2 - 1. Give g*z(m) + u(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the fifth root of 4156098 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Is 43 a factor of (-5)\/(174 + -180 + (251037\/13947)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2 = -0*h + h. Suppose 5*y - 5 = 0, 0 = -2*l - l - 2*y + 14. Let w(n) = 2*n**2 - 122*n - 520. Let p be w(65). Solve -l*u + h + 6 = p for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find f, given that 3*f**4 - 3714*f**3 + 25893*f**2 - 51726*f + 29544 = 0.\nAnswer: 1, 2, 4, 1231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let b be (78\/(-9))\/(4\/6). Let a = 16 + b. Suppose -a*s + 2*s = -4. Solve 3*u + 1 = 4*r, 2*r = -4*u + 6*r + s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(m) be the second derivative of 5*m**4\/12 - m**3\/6 + 2*m. Let t be a(1). What is the second derivative of -k**4 + k + 2*k**4 - 3*k**t wrt k?\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 3300 divided by -34.\nAnswer: -1650\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let a(v) = 2*v**3 - 12*v**2 + 3*v + 18. Let k be a(6). Solve -38*q + k*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of ((-644)\/(-42) - 16) + (-22)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*h + 5*h = 8. Suppose -9 = c - 4*b, 41*c - 43*c = 9*b - 16. What is the hundreds digit of c + (-3 + h)*185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.29116 to two dps.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Does 39 divide 34671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Express (2 - 20*a + 47*a - 15*a)*(-7*a**2 + a**2 + 4*a**2) in the form y*a**3 + t*a + v + n*a**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 10.8 + 4.84. Let y = w + -15. Let g = 0.47 - y. Which is the biggest value? (a) 0.3 (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 7, what is -2 - 21?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the uth term of 12, 123, 416, 981, 1908, 3287, 5208, 7761?\n\"Answer: 15*u**3 + u**2 + 3*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (0 - (0 - -3 - 3)) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the third biggest value in -0.114, 4\/5, -6.4, 3?\nAnswer: -0.114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -24 - -65. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express (201*v**2 - 201*v**2 + 116*v**3)*(3*v - v + v) as m + d*v + h*v**4 + r*v**3 + k*v**2 and give h.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let t = -168 + 432. Suppose -5*i - 5*g - 850 = 0, 10*i + 4*g - 496 = 13*i. Let q = t + i. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the vth term of -8326682, -8326684, -8326698, -8326730, -8326786, -8326872, -8326994?\n\"Answer: -v**3 + 5*v - 8326686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 20033 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Simplify r**(-1\/2)*r*r**(-7)*r*r**5\/(r\/r**(-5\/4)) assuming r is positive.\nAnswer: r**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of 27\/1813 and -34\/1295?\nAnswer: 9065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 83\/54 and -89\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: 0.153 * -1\nAnswer: -0.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is 2209814 to the power of 1\/3, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 9975 and 741.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(343)*-1)\/sqrt(7))\/(-2*sqrt(7)*4)*5.\nAnswer: 5*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 0.057? (a) 13 (b) -7 (c) -2\/9 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let k(m) = -19*m**3 - 4*m**2 + 4*m + 98. Let t(f) = 18*f**3 + 5*f**2 - 5*f - 98. Let b(w) = 5*k(w) + 4*t(w). Differentiate b(u) with respect to u.\nAnswer: -69*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*r - 24 = -4*s, r + 30 = -s + 5*s. Let g(f) = -f**3 + 6*f**2 + 6*f + 9. Let j be g(s). Suppose 0 = j*t + 34 - 148. List the prime factors of t.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*x + 6*q = q + 122400, -30600 = -x + 4*q. Round x to the nearest 1000.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 2:54 PM and 1:10 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -155\/2543886 and -137\/188436.\nAnswer: 5087772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-2*b**2 - 3*b**2 + 3*b**2)*(-b + 2*b - 3*b) + 423*b**3 + 792*b**3 - 699*b**3 + (2*b - 3 + 3)*(3 - 3 + 2*b**2).\nAnswer: 524*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-1 - -6) + (7 - (0 + 13))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let y(b) = -b**3 - 3*b**2 - b - 3. Let u be y(-3). Let v(j) = 153 - 159 + j**2 - j + 69. What is the remainder when v(u) is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 2 x and 1 a when three letters picked without replacement from aaxaaxaaxxaxa?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((-5*sqrt(272)*-3)\/sqrt(8))\/(-1*sqrt(72)*-4).\nAnswer: 5*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -2\/379? (a) -243\/4 (b) 0.3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Is -32223292 at least -32223289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let q(y) = -2*y**3 + 12*y**2 + 3*y - 1. Let u be q(6). Suppose -10 = -7*k - u. Let w(z) = -z**2 + 3. Let f(d) = -1 - 3 + 5. What is k*w(v) + f(v)?\nAnswer: v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let u(w) = -w**2 + 3. Let q = -17 + 20. What is u(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-19)\/(-608)*296 + -9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: How many decades are there in 3\/5 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let k(h) be the third derivative of h**6\/120 + h**5\/10 + h**4\/24 + 2*h**3\/3 + 15*h**2. What is k(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -33*1*(-2238)\/(-8206)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -4*x + 16 + 8. Suppose 4*s - x = s. Is (s\/((-4)\/(-94)))\/1 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(z) = -51*z. Let f(n) = 63560 + 5*n**2 - 63560. Determine f(c(g)).\nAnswer: 13005*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Sort 2, 1, -17, -1, -4 in decreasing order.\nAnswer: 2, 1, -1, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3*p - 2 - 24 = 4*n, -2*n - 3*p - 16 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 39 + (36 - 87 - 96)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let i(m) be the first derivative of -m**4\/2 - 5*m**3\/3 - 3*m**2\/2 - 2*m + 5. Let h be i(-3). Solve -5*u + u = -h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 2375 (base 9) in base 2?\nAnswer: 11011101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Divide 4 by -113130.\nAnswer: -2\/56565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -1077*z + 32 = -1075*z. Solve -5*r = -y - z, -4*y + 31 = r + 11 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 3393?\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the xth term of -580, -1187, -1810, -2455, -3128?\n\"Answer: -x**3 - 2*x**2 - 594*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let n(w) = 2*w. Let a(r) = -767*r**2 - 15. Determine a(n(f)).\nAnswer: -3068*f**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 48654 is divided by 507?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is 546492700 rounded to the nearest one million?\nAnswer: 546000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -160442499 + 272542499. What is w rounded to the nearest 1000000?\nAnswer: 112000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 15, what is -39 - bb7?\nAnswer: -c01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 11190, 22414, 33662, 44940, 56254, 67610, 79014, 90472?\nAnswer: 101990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from kokkodk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: ((-1610)\/(-308) + -5)*(-2)\/(-5)*-6\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 20584?\nAnswer: 2, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -8*k + 1512 = k. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -141 (base 16) in base 14?\nAnswer: -18d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: 253228\/2950 + -86 - (-6542)\/(-50)\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is 46.10509 millennia in months?\nAnswer: 553261.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let y be (-2)\/3*93\/(-31). Let a(t) = t**2 + 3*t - 3. Give a(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 1336*g - 133824 = 247*g - 305*g for g.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -57 + 92. Suppose 0 = 2*h - 7*h + f. Let m(s) = s + 9. Calculate the remainder when m(h) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 4:40 AM and 5:49 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Work out -3641 * -13.\nAnswer: 47333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -7322666.65 + -30.\nAnswer: -7322696.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 4425 is divided by 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let j(l) = 29 - 93 + 2060*l + 30 + 34. Let p(f) = f. Calculate p(j(z)).\nAnswer: 2060*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Sort -1.6, -5, 48\/5, 113, -2 in decreasing order.\nAnswer: 113, 48\/5, -1.6, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let a(j) = -j**2 + j - 1. Let b(o) = o**2 - o. Let f(q) = 3*q**2 - 4*q. Suppose -28 = z + 13*z. Let t(x) = z*f(x) + 7*b(x). Give -2*a(d) + t(d).\nAnswer: 3*d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let t = -2596 + 2596.00012106. What is t rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third biggest value in -0.17, 8, 0.61, -3\/2?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let x be (-115)\/(-23) - (1 - 1). What is the third derivative of -1487*p**5 + 8*p**2 - p**2 + 1468*p**x wrt p?\nAnswer: -1140*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 1288 + -1310. What is the closest to 1 in -1, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 13, what is -71 - 4?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let t be (1 - 10)\/((-2)\/2). Suppose 2362*y - 419 = 2317*y + 256. Calculate the highest common factor of t and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 63327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let x be -2*184 + 1 - -3. Let u = x + 243. Let k = -80 - u. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z(y) = -158*y + 4745. Give z(31).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -13 + 10.3. Let y = -3 - k. Let i = -0.5 - y. Which is the closest to -2\/7? (a) 4 (b) i (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((g**(5\/2))**5)**4 assuming g is positive.\nAnswer: g**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Express 3*l - 3*l + 2*l**3 + (-3*l + 3*l + 2*l)*(l**2 + l**2 + 0*l**2) + (2*l**3 + 0*l**3 + 0*l**3)*(-5 + 1 + 3) as a*l**3 + y*l**2 + d*l + r and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: -4322215 (base 6) to base 7\nAnswer: -1545110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -608 = -21*v + 13*v. Suppose 20 = -4*f + 4*z - v, 2*f + 2*z = -40. Let o(x) = 4*x + 15. Let h(u) = u + 4. Give f*h(c) + 6*o(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -28*a + 693 = -147. Suppose 10 = -5*b + a. Let w(u) = u**3 - 6*u**2 + 6*u - 4. Determine w(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -6\/5 in -5, 5, -3, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let u(n) = 2*n - 10. Let p be u(8). Let l = 6 - p. Suppose 5*z - 136 = 4*x, 0 = -l*x - x - 4. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(s) = 2*s + s**2 + s + 0*s. Suppose 6*b = -55 + 49. Let n(w) = -w. Let p(u) = b*r(u) + 2*n(u). Find the second derivative of p(m) wrt m.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 2 divide 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 5919, 5916, 5911, 5904, 5895, 5884?\nAnswer: 5871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 7767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.4913 - 79981?\nAnswer: -79980.5087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Is 16351979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let y(t) be the first derivative of 2451*t**4\/4 - 174*t**2 + 7*t + 1451. Find the second derivative of y(x) wrt x.\nAnswer: 14706*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s = 1876 + -5627\/3. Which is the nearest to -0.03? (a) -2 (b) 3 (c) 1 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 1367 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Does 26 divide 60051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let d = -83 - -90. Suppose -3*u = -t - d*u + 122, 0 = 2*t + 5*u - 238. Calculate the greatest common divisor of t and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: -2203628 - 86126.36\nAnswer: -2289754.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 1 or 219?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 0.14 + -0.1. Round j to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(x) = 81*x - 25715. Determine f(316).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of 44022*i**5 - 5*i**2 + 33*i - 63.\nAnswer: 2641320*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Round -9480068400 to the nearest one million.\nAnswer: -9480000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(153) + -5)*4*-3.\nAnswer: -36*sqrt(17) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 1672.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Does 38 divide 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 2066 is divided by 518.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (y*y*y**(-1\/4))**(-13\/3)*y**(-7)\/(y*y**(3\/10)\/y) assuming y is positive.\nAnswer: y**(-893\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the hth term of 1103, 2091, 2983, 3785, 4503?\n\"Answer: h**3 - 54*h**2 + 1143*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Is 13 a factor of 164557566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 0 in 20\/7, 342, -2\/5, 3\/7, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: In base 10, what is 14613 + -191?\nAnswer: 14422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -30 = -2*z + 22. Round z to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 209123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 12.9 - -84.1. Let f = o - 97. Sort 67, -0.5, f in descending order.\nAnswer: 67, f, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 486 - q + 227 - q - 713.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Factor -4*r**2 + 324*r - 4*r**3 - 2*r**2 - 12 - 304*r + 2*r**2.\nAnswer: -4*(r - 1)**2*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round -457720.3856 to the nearest 10.\nAnswer: -457720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Is 1369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Is 24902 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 2513 - 2486. What is the remainder when 108 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 946 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: -20021020100000 (base 3) to base 13\nAnswer: -8c8242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 0 + -3. Let z = -1 - h. Suppose y + z*y - 57 = 0. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w(b) = 8*b - 24. Calculate w(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Is -33\/106 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is 3\/5 of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*b**3\/13 - 406*b**2\/13 + 9730*b\/13 - 38250\/13 = 0.\nAnswer: -225, 5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} -{"text":"Question: Let 2*y**2 + 124078*y + 6075020 = 0. What is y?\nAnswer: -61990, -49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 2585 + -2583. What is the remainder when 372 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-4 - 4 + 2)*(-113 - 7*m - 112 + 222).\nAnswer: 42*m + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(2) + (sqrt(2) - (sqrt(98) + 2) - sqrt(2) - sqrt(2)) + sqrt(20)\/(-1*sqrt(10)))**2.\nAnswer: 32*sqrt(2) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is 432 minutes before 8:27 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let s(i) be the first derivative of i**7\/420 + i**6\/240 + i**2 - 4. Let k(d) be the second derivative of s(d). Suppose k(j) = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(y) = -14*y**2 - 13*y - 14. Let s be b(-1). Let w be (s - -10) + 4\/(8\/42). Solve 6*p = 2*p - w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 61 = 28*i - 79. Let q be (82\/(-3))\/((-4)\/6). Suppose h + q = u + 278, 3*u + 1191 = i*h. What is h rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 560603 and 1317?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 14*d = 13*d - x + 1177, 3*d + 5*x - 3535 = 0. Suppose -d - 1753 = -24*v. What is the remainder when v is divided by 36?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n be 10*(-3)\/(6\/(-8)). Suppose 0*b = -4*b + n. Solve -4*d + 2*q - b = 0, 0*d + 3*d = q - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 5 - 3. Suppose b - 20 = c, -b = q*b - c - 58. Suppose 5*k - 2*k - 3*t - 102 = 0, -k = 3*t - 46. What is the remainder when k is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 8294865 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 147 + -147 + (-3 + 0 - 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-6 + 4 - -9) + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let b(y) = 13*y**2 + 8*y + 1. Let v(h) = 25*h**2 + 15*h + 2. Let s(n) = -7*b(n) + 4*v(n). Let o be s(-3). What is the greatest common divisor of 14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 292\/429 + -2\/143. Let j be 0 + 1 + (-6848)\/28. Let a = j + 244. What is the smallest value in a, n, 0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 8 + -8. Suppose -706 = -3*d - s, x*s - 710 = -3*d + s. Let a be d\/(4\/2) + 2. Calculate the highest common factor of 48 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 7*i + 424 - 389 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (4 + (sqrt(24) + (sqrt(1536) - sqrt(24))*-1)\/(sqrt(56)\/(sqrt(7) - sqrt(28))))*2.\nAnswer: 8 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let x be 2\/(12\/2)*9. Let r = -40 + 42. Find w, given that -2*w**4 + 4 + r*w**3 + w**5 - w**x - 4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 471 - 5184. Let c = -3095 - d. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*c = -5*f + 85, -5*c - 172 + 104 = -4*f for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Divide 90335 by -18067.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 44*b = 45*b - 47. What is the lowest common multiple of -6 + (-420)\/(-75) + 222\/5 and b + -6 + (-1 - 0)?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(k) = 4*k - 14*k + 9 - 9*k. Let p(u) = -3*u + 8. Let z(x) = -11*x + 26. Let y(f) = 19*p(f) - 6*z(f). Determine 4*b(g) + 9*y(g).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let l(h) = -h**3 + 30*h**2 - 56*h + 11. Let z be l(28). Let i = z - 11. Solve -6*r + 0 + 6 = i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-6)\/(-9)*(-36)\/(-64)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Round -42326 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 10 and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 1500 + 964 = 4*t - 1132. What are the prime factors of t?\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put 10095, -3, -92 in increasing order.\nAnswer: -92, -3, 10095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-11)\/(-198) + 1\/6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Is 5711793121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is 41 minutes after 12:52 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*q - 13 = 3*o + q, 0 = 2*o - 4*q + 6. Let j(y) = 2*y + 3*y + 2*y - 3 - 3*y + y**2. Let h be j(o). Solve 0 = h*t + 8, 2*s - t - 14 = t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 4*f - 6*f + 8. Suppose -f*q = -84 + 4. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 76 divide 5538196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -80 = -4*w + 52. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 165984 and 2767648?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 4 divided by -5782778.\nAnswer: -2\/2891389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*h**5\/5 + 272*h**4\/5 - 4268*h**3\/5 - 20688*h**2\/5 - 16146*h\/5 = 0. What is h?\nAnswer: -3, -1, 0, 23, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 230848105.8644217 + -230848057. Let d = f + -47.85444. Let c = -1.01 + d. What is c rounded to 6 decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Subtract -2794776175163 from -0.4.\nAnswer: 2794776175162.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Multiply -8768 and -2.\nAnswer: 17536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 136\/945 - 2\/189. Let y be (-6)\/(-10)*(-3)\/(-81). Let n = y - -1\/5. What is the second smallest value in -2\/3, n, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from ccpccpc. Give prob of picking 4 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -83054, -166097, -249126, -332135, -415118, -498069, -580982, -663851?\nAnswer: -746670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Is 1513330097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*k**2 + 46*k + 44 = 0. Calculate k.\nAnswer: -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (o**(-20)\/o**(-1))**(-37) assuming o is positive.\nAnswer: o**703","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Is 216129629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 52*u - 2 - 2*u - 23*u - 6*u - 50*u - 33*u.\nAnswer: -62*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Solve -58835*s - 218112 = -56563*s for s.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 1569496 and 512?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(171) + sqrt(171) + -2*sqrt(171)*-4)**2*-1.\nAnswer: -17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Convert 10523516 (base 8) to base 9.\nAnswer: 4241263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of ((-8)\/(-4))\/((-2)\/(-29)*(-2189)\/4378)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -2.3 + 1.6. Let b = k - -2.2. Let f = 2.73 - b. Round f to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 75 + 1328. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 8244666*i**2 - 766*i**3 - 8244666*i**2.\nAnswer: -766*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -9308522, -18617034, -27925546, -37234058, -46542570?\nAnswer: -55851082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is -b95c (base 14) in base 13?\nAnswer: -1176b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let z(v) = -2*v**3 - 9*v + 5*v**3 - 4*v**3 + 10*v**2 + 3. Let s be z(9). Suppose s*j - 22 = 4*k + k, -12 = -4*j - 2*k. Solve -j*p - 16 = 4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(m) = 17175*m - 51586. Calculate u(3).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 50, 48, 46, 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Is 23480593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 19 + -21. Let k be 1\/(-1) + (1 - 1). What is the closest to 0.2 in k, 0.4, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence kck when three letters picked without replacement from {j: 1, z: 1, m: 2, d: 7, c: 3, k: 4}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -1 - -2. Let f be (-3)\/(-90) - -1*2\/(-10). Which is the closest to g? (a) 4 (b) 2\/11 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -26843, -26850, -26861, -26876, -26895, -26918, -26945?\nAnswer: -26976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 316.2415 - -37.3875. Let p = -217 + 571. Let u = v - p. Round u to two dps.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(z) = -7*z**2 + 4*z. Suppose 4*r - 24 = -4*t, -2*t + 4*t - 8 = 0. Let c(j) = -286 - 2*j**r + 286. Calculate i(c(p)).\nAnswer: -28*p**4 - 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-2)\/(13 + 1)*(-2275)\/(-650).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: How many decades are there in seven quarters of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 935 and 463930?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Solve 62 - 60 = -s, 0 = 4*q + 4*s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: (-3 - -30 - 28) + (-4 - -1 - -6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {z: 1, w: 1, e: 1, o: 1, y: 1}. Give prob of sequence eoz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let j(s) be the third derivative of 9*s**5\/10 - 2*s**2. Let o(r) = 243*r - 129*r - 114*r + r**2. Give j(o(p)).\nAnswer: 54*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Solve 8*o = -7 + 63 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let g(k) = k + 35. Let b(d) = -10*d - 22. Let p be b(-3). Let f be g(p). Suppose -3*y = -f - 95. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -1 + 3. Suppose -m + k = -2. Suppose 4*n + 0*s - m*s = 20, -n - 4*s = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 403*q - 44 = 381*q. Solve 2*n - 3*m - 15 - q = 0, 5*n = 4*m + 25 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort 7, 0, 42, 5, 109 in ascending order.\nAnswer: 0, 5, 7, 42, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Sort -0.334, 2\/3, 22 in decreasing order.\nAnswer: 22, 2\/3, -0.334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from fmmsfhttsafasmsma. What is prob of picking 1 a and 2 f?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 4.5 - 5. Which is the closest to -2\/3? (a) g (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*m - s + 6 = 0, 3*s + 11 = 3*m + 5*s. Let o be 23*(0\/m + 1). What are the prime factors of -7 + 4 + o + 0?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third biggest value? (a) 1.52 (b) -5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let b(m) = -m**3 + 39*m**2 - 51*m - 131. Let l be b(37). Let i = -720 + l. What is the third biggest value in -4\/7, -8\/15, i?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4590 - 19498 + 369 = -188*f - 6079 for f.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let p(z) = -7*z - 11. Let c(h) = 11*h + 16. Suppose -202*d + 204*d = 16. Let y(n) = d*p(n) + 5*c(n). Give y(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p be -4 + 21\/9 + (-42)\/(-9). What is the fourth biggest value in 4, 3\/5, -16.2, p?\nAnswer: -16.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 2 + -12 + (-35 - -38)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let z(u) = -u**3 - 10*u**2 + 88*u + 264. Determine z(-3).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Sort -3\/7, -4, 10.7, -2\/25, 4, 1\/3 in ascending order.\nAnswer: -4, -3\/7, -2\/25, 1\/3, 4, 10.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 89*i - 629*i + 444*i + 2*i**2 + 1785*i + 1537*i to x*i + n + k*i**2 and give x.\nAnswer: 3226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: How many milligrams are there in 0.4597652ng?\nAnswer: 0.0000004597652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 4.04 + -4. Let q = u + 0.46. What is the closest to -1\/4 in q, 2\/9, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q(j) = 28*j - 10. Suppose 4*r + 97 = 1. Let n be r\/7 + 3 + (-45)\/(-7). Does 17 divide q(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 530 + -529 + 1 + 0 + 18 + -6.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let p(z) = 8*z**2 + 1453*z - 5956. What is p(4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is 56 (base 16) in base 11?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 117 - -54.1.\nAnswer: 171.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Expand (1 - 1 + x)*(477*x**2 + 192*x**4 - 477*x**2) + 4*x**4 - 4*x**4 + x**5.\nAnswer: 193*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 137\/42 and 92\/105.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is -9 - (2\/1 - 8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 18304909.\nAnswer: 7, 2614987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -435*c + 8687 = -508*c. Is -72 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w(z) be the third derivative of 223*z**5\/60 - 73*z**2 - 35. Let q(b) = -20*b**2. What is q(w(p))?\nAnswer: -994580*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let f(u) = -2*u**2 - 5*u - 1. Let v(g) = 3*g**2 + 5*g - 5. Let l(a) = 2*f(a) + v(a). Give l(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: -2 - ((1 - -9) + -6 + -7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let f(y) = -y**3 + 6*y**2 + 2. Let d be f(6). Suppose -10*g = -6*g - 28. Sort 1, d, g in descending order.\nAnswer: g, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (-410)\/(-1476)*108\/45?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth biggest value in 5, 38, 40, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Round 1.61528 to two decimal places.\nAnswer: 1.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Put -1, -104, 5 in ascending order.\nAnswer: -104, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.055 minus 27?\nAnswer: -26.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let r be -4*(-9 + 14)*(-2)\/8. Let i be 14\/(-1890)*-87 - 1\/r. Factor 2\/9*n**4 + i*n**2 + 0*n - 2\/3*n**3 + 0.\nAnswer: 2*n**2*(n - 2)*(n - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 1250.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Is 5194 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Determine k, given that 3*k**5\/5 - 1257*k**4\/5 + 23739*k**3\/5 + 80061*k**2\/5 + 55062*k\/5 = 0.\nAnswer: -2, -1, 0, 23, 399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence hmxh when four letters picked without replacement from {x: 1, f: 1, h: 1, m: 2, y: 1, o: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 10 + -5. Let z = -0.45 - 0.05. Let k = z - -0.9. What is the biggest value in k, 2\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -9*g*z**3 - 2*g*z**2 - 41895*g*z - 69*z**3 + 2*z**2 wrt z?\nAnswer: -54*g*z - 4*g - 414*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -9*c + 7*c + 12. Is c\/(-8) + (-5705)\/(-28) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand -j + 2*j + 2*j + (-j - 4*j + 6*j)*(-2 - 3 + 0).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let i = -6309 + 6359. What is the highest common factor of i and 3200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*s = 2*o, 1 = -4*o + 5*s + 19 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*h - 20 = 3*q - 45, -2*h - 20 = -4*q. Solve g - 8*l + q*l + 23 = 0, -l = -g - 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify y\/(y*y**(2\/17)\/y)*y**(-1\/3)*(y\/(y\/(y\/y**1)))**(-46)*(y**0\/y)**(10\/9)\/(y**0*y**(-2)*y*y) assuming y is positive.\nAnswer: y**(-86\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 61408835.\nAnswer: 5, 12281767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let x(t) = 140*t - 54884. What is x(392)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose d + 98152 = -1012*c + 1015*c, 130895 = 4*c - 5*d. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 z and 1 k when two letters picked without replacement from {k: 6, z: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Divide -141228 by 261.\nAnswer: -15692\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the yth term of 69, 112, 155, 198, 241?\n\"Answer: 43*y + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of -2*d**3 + 36*d**2*s + d**2 - 1677*d + 1484057*s wrt d?\nAnswer: -6*d**2 + 72*d*s + 2*d - 1677","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((g\/(g*g**(-8)\/g*g))\/g)\/(g*g**(1\/5))*(g**(-7)*g)\/g*g**(-2\/15) assuming g is positive.\nAnswer: g**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the first derivative of 5298 - 3852*c + 858*c - 199*c wrt c?\nAnswer: -3193","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -17 + 47. Let a be l\/5*6\/9. Put 5, -1, a in decreasing order.\nAnswer: 5, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 0 - (5 + (4 - (16 + (-1 - 2)))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 791873 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 576335 is divided by 288146?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 198 and 704.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -8*f - 24 = -11*f. Let l be -18*((-76)\/f + 1). Suppose -5*g = 3*v - l - 48, 2*v - 5*g = 109. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*a = -4 - 36. Let u(o) = 8*o - 55*o**2 - a + 51*o**2 + 5*o**2. Calculate u(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of 987448 and 400?\nAnswer: 49372400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let o(j) = 20*j**2 - 14*j - 6. Suppose 53*g - 29*g - 26*g = 22. Let t(y) = 7*y**2 - 5*y - 2. Determine g*t(p) + 4*o(p).\nAnswer: 3*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Simplify v**(-1\/18)\/(v\/(v*v*(v\/(v**(1\/15)\/v))\/v))*v**4\/((v*v\/v**(-6))\/v) assuming v is positive.\nAnswer: v**(-101\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Convert -1010a (base 11) to base 6.\nAnswer: -152220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: How many years are there in 276995.4 centuries?\nAnswer: 27699540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: -413 (base 7) to base 14\nAnswer: -10a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let h(l) be the first derivative of -2*l**2 + 37*l + 37. What is the remainder when 48 is divided by h(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of 870 and 18270.\nAnswer: 18270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let s(i) be the first derivative of i**4\/4 + 10*i**3\/3 + 4*i**2 - 5*i - 773. Give s(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v(g) = 45*g**2 + 4 - 4*g + 4*g - g - 49*g**2. What is v(-3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express -26*j + 101*j + 92*j + j + 4*j as s + c*j and give c.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence vt when two letters picked without replacement from {r: 1, v: 9, t: 1}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let s = -41 + 33.75. Let c = -7 - s. Let w = 3.25 - c. Put -0.3, 0.05, w in decreasing order.\nAnswer: w, 0.05, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u be (-112)\/12*(-36)\/42 - 2. Solve -l - 2*b = u, -4*l + b = 5*b + 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -17.072 + 18. Let o = y - 0.9. Round o to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(g) = -5*g + 3. Let l(x) = -18*x + 9. Let a(w) = -8*w + 4. Let u(r) = 14*a(r) - 6*l(r). Let h(t) = 2*b(t) - 3*u(t). Let p(c) = -2*c. What is p(h(d))?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Solve -131*z - 1592 = 2202 - 1043 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let l be 4\/48*4 - 19\/12. What is the biggest value in 1, 4, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b be 189\/42*((-11)\/(66\/8))\/(-1). Let i = -2 + 0. Put b, i, 3, -6 in ascending order.\nAnswer: -6, i, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: -9.205 times 3\nAnswer: -27.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Is 11 a factor of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is -81 divided by 113?\nAnswer: -81\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let l(t) = t. Let m be l(7). Solve i = -5*q - 13, i - m = q - i for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(b) = b**2 - 10*b - 7. Let h be n(10). Let r be (1 - h - 3) + -1. Find the second derivative of -o**5 + r*o**5 - 2*o - 2*o**5 - 4*o**5 wrt o.\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (h\/(h**(6\/7)\/h))\/(h\/(h**(-16)\/h))*h**(-1\/16)*h*(h\/(h**(10\/3)\/h))\/h assuming h is positive.\nAnswer: h**(-6133\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the nth term of 57, 73, 87, 99, 109, 117?\n\"Answer: -n**2 + 19*n + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Is 489941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let z = -10 - -67\/7. Let l = 0.28 - -21.72. Let k = -21.9 + l. Which is the nearest to -3? (a) 0.4 (b) k (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z = -32 - 6. Let b = 371 + -331. Let o = z + b. Do 2 and o have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from vvzyvytvzzz. Give prob of picking 4 z.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Find d such that 2*d**5 + 50960*d**4 - 3991560*d**3 - 115355840*d**2 - 974988800*d - 2669481984 = 0.\nAnswer: -25558, -8, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let a(m) be the first derivative of 11*m**2\/2 + 1. Let p(j) = -j**2. Give a(p(t)).\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 67 = 4*b - 3*p, 5*b + 2*p - 1 = 77. What is the highest common factor of b and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 584 minutes after 1:48 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Expand 0 + t + 0 + (0 - 2 + 4)*(3 - 3 - t) - t + 2*t - 2*t + (-2 - 2*t + 2)*(20 - 67 - 12) - 4 + 4 - 2*t.\nAnswer: 114*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 7142 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 2710899, 5421797, 8132695, 10843593, 13554491, 16265389?\nAnswer: 18976287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2375 = 92*a - 3019 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 d and 1 z when two letters picked without replacement from mffmdpzdpppqmmppmpmp.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fifth smallest value? (a) 4\/3 (b) 110 (c) 1 (d) 0 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 2015?\nAnswer: 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {m: 6, i: 9, f: 4}. Give prob of sequence fmf.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Work out 15.66814 - 2.2.\nAnswer: 13.46814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 3 + (sqrt(19) + sqrt(19)*2)*3 + (-1*sqrt(95))\/sqrt(5).\nAnswer: 3 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 1305961 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is -1242 divided by -69?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let k be 12\/(-8) + 14\/4. Let p(c) = -650000*c**3 + c**2 - 2*c. Let d be p(k). Round d to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 6 - (3 - 2 - (2 + -4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Expand -h + 3*h + 0*h + (4 - 28 - 4)*(5*h + 5 - 5).\nAnswer: -138*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -10.2 + 0.2. Let m = -8 - r. What is the nearest to -1\/2 in -2, m, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {l: 2, g: 5, s: 5, a: 7}. What is prob of picking 1 l, 1 g, and 1 s?\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let a(w) be the second derivative of w**4\/6 + 3*w**2\/2 - 3*w + 34. Let c(u) = -u**2. Determine c(a(h)).\nAnswer: -4*h**4 - 12*h**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 6? (a) 5 (b) 0.1 (c) -181.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Put 6, -40, -1, -9, 4 in ascending order.\nAnswer: -40, -9, -1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let p(x) = x**2 + 6*x - 11. Let k(d) = d**2 + 9*d. Let s be k(-8). Let u be p(s). Put 3, u, 1 in increasing order.\nAnswer: 1, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(n) = n**2 - 2*n + 4. Let a be r(3). Suppose -a = -u + 13. Suppose u = 4*j + j. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {a: 4, q: 6}. Give prob of picking 2 q and 1 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*y + y = 5*z - 63, -y - 35 = -3*z. Suppose -5*i = -19 + 4. Let -z*n + 2*n**3 - 4 + n**i + 0*n**3 + n**2 = 0. What is n?\nAnswer: -2, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(o) = -o**2 - 7*o + 35. Let y be b(3). Let z(j) = 2*j**2 + 2*j + 3. Let v be z(-1). Put 2, v, y, -4 in increasing order.\nAnswer: -4, 2, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z be (-792)\/(-45) - 7 - (-6)\/(-10). Let a(h) be the second derivative of -h**5\/20 - h**3\/6 + h. Let j be a(0). Solve j = -5*q - 15 - z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 2\/9 (c) 3\/5 (d) 788 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Round -138038.997 to the nearest ten.\nAnswer: -138040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Convert -3585416 (base 10) to base 8.\nAnswer: -15532610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve 199*j = -564*j - 3815 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 15891090?\nAnswer: 2, 3, 5, 17, 31159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -1 or -1\/161426858?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is 89.84802 centuries in decades?\nAnswer: 898.4802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 3, i: 7, l: 5, d: 2}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let y(q) = 32118*q + 160593. Let d be y(-5). Find j, given that 17\/5*j - 1\/5*j**3 + d + 1\/5*j**2 = 0.\nAnswer: -3, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(g) = -g**3 - 12*g**2 - 12*g - 10. Let d(y) = 2*y**3 + 25*y**2 + 23*y + 21. Let w(v) = 9*c(v) + 4*d(v). Is 18 a factor of w(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 16089347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Expand ((-3 - 3 + 0)*(-513 + 21*n + 513) + n - 2 + 2)*(-2*n - 2 + 2).\nAnswer: 250*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -3\/16 in 17, -4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let s be 1*((-3 - -4) + 18). Suppose 4*g = s - 7. Solve -g*a - 7 + 3 = -2*t, -2*t - 4*a + 4 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 20*v - 952 = 6*v. Calculate the remainder when v is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 48447 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let r(c) be the second derivative of -11*c**8\/56 - 7*c**4\/6 + 6*c. What is the third derivative of r(v) wrt v?\nAnswer: -1320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the lowest common multiple of 7 and 149?\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 1959236?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -66*q**3 - 145*q**3 - 478*q**3 - 114*q**3 + 7*q**3.\nAnswer: -796*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-8*f + 21 + 38 + 10*f)*(6 - 2 - 1).\nAnswer: 6*f + 177","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Sort 69, 85, -2 in decreasing order.\nAnswer: 85, 69, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let q(i) be the third derivative of 5\/3*i**3 - 1\/105*i**7 + 0*i + 2\/5*i**5 - 1\/30*i**6 - 7\/6*i**4 + 0 + 15*i**2. What is s in q(s) = 0?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(k) = -2*k**3 + 73*k**2 - 41*k + 191. What is x(36)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 1:55 AM and 9:21 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 3:09 PM and 10:17 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Put 1454, -92, 4, -49, 2 in decreasing order.\nAnswer: 1454, 4, 2, -49, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: (((-10404)\/510)\/51)\/(((-606)\/(-10))\/3)\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 0.05? (a) 2\/23 (b) 0.02 (c) 2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 1\/3? (a) 49 (b) 4 (c) 8074 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: -564 or -29916\/53?\nAnswer: -564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 2? (a) 1\/4 (b) 0.1 (c) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is 8 - (6 - (7 + -17 + 5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let s(m) = 523*m**2 - 1. Let o be s(0). Which is the closest to -0.1? (a) -1\/2 (b) 0.1 (c) o (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(p) = 2*p**2 + 2*p + 1. Let r be o(-2). Let c(b) = -b - r + 9*b**2 + 2 + 2. Is c(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -9 + -3 + (6 - 13 - -15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 406, 310, 226, 160, 118, 106?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 29154?\nAnswer: 2, 3, 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let b be (5 + 780)*9 - 3. Suppose 16*w = 794 + b. What are the prime factors of w?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 8553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence et when two letters picked without replacement from {j: 3, e: 1, t: 3, y: 6}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is 5443915 to the power of 1\/3, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -157023393 - -157023392.717340774. Let u = -37.717340094 + y. Let i = 38 + u. Round i to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 63.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of -q**6*r - 6*q**4 - 53*q**3*r**3 - q**2*r**3 - 3*q**2*r**2 - 2*q*r**3 - 56*r wrt q.\nAnswer: -120*q**3*r - 144*q - 318*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is 627 minutes before 8:07 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*q - 22 = -5*y + q, -2*y + 5*q + 15 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -1 + sqrt(1100) - (sqrt(11) - -2*sqrt(44)).\nAnswer: -1 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Is 22476001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 0.5 - -1.5. Let p be (-2 + (-18)\/(-12))*8. Which is the closest to -1\/2? (a) x (b) p (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 4:20 PM and 2:09 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Sort 4, -3\/10, -24.5 in decreasing order.\nAnswer: 4, -3\/10, -24.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from wwwwwwnhwwwwwhh. Give prob of sequence hhhw.\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of 5 and -1401.05?\nAnswer: -7005.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -45030 divided by 10.\nAnswer: -4503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*d = -11 + 103. Let j = -47 + d. What is the second biggest value in -4, j, 0.1, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: 513\/27*(-4)\/((-4)\/(3\/3))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 2739 is divided by 97.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 1 + sqrt(27)\/sqrt(576) + 5*(((-2*sqrt(198))\/sqrt(11))\/sqrt(6))**2.\nAnswer: sqrt(3)\/8 + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from chcccchhhhhhh. Give prob of picking 1 h and 2 c.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 15 - 20. Let b be 1\/y + 45\/(-25). Is b < -9\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -1\/10 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let d(x) = 6*x**2 + 3*x + 7. Let h(l) = -2*l**2 - l - 2. Let c(r) = 6*d(r) + 21*h(r). Find the second derivative of c(z) wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(x) = 6*x**2 - 9*x - x**2 + 8 + 2*x**3 - x**3 + 1. Let t be y(-7). Round t to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -3 + 4*(-3 + 0 + sqrt(1053)) + -2 + -3.\nAnswer: -20 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-391)\/34*(-6)\/138.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 22444 - 22444 - 7*f + 3*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 1089447.\nAnswer: 3, 363149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 2790 and 30132.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let g(o) = o**2 + 69*o + 608. Calculate g(-11).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*w + 104*w - 108 = 0. Solve 16 = -4*k, 4*d + 3*k - w = 3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Determine z, given that -3*z**5\/5 - 73326*z**4\/5 + 3820209*z**3\/5 - 20941128*z**2\/5 + 30421548*z\/5 = 0.\nAnswer: -24494, 0, 3, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let v(m) = 3*m - 4. Let p(c) = 3*c - 38. Let i(d) = 2*d - 27. Let a(x) = -7*i(x) + 5*p(x). Determine 6*a(u) - v(u).\nAnswer: 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 92 and 463795?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 6905915.\nAnswer: 5, 29, 97, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 2*-3*(-1 + (sqrt(396) + (sqrt(396) - -2*sqrt(396)))**2 + 2).\nAnswer: -38022","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: -2163 divided by -109\nAnswer: 2163\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let l(r) = r**2 + 3*r - 2. Let m be l(-4). Let w = 2823 + -2824. List the prime factors of -4 + (m - w) - -35.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (-195 - -165) + -17 + 27?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {y: 10, j: 2}. Give prob of picking 2 j and 1 y.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: (-354 - (-31 - 68))\/3\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Does 9 divide 487413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -271*m - 885*m - 6651*m**4 - 3045*m - 4171*m**4 wrt m.\nAnswer: -129864*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 946 - -20781.91?\nAnswer: 21727.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let c = -22317 + 22317.5. Sort 1413, 0.2, c, -4 in decreasing order.\nAnswer: 1413, c, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -49926.4 minus 232544?\nAnswer: -282470.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let z = 1771 - -17359. What is the thousands digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (m**(-11)*m**14)**15 assuming m is positive.\nAnswer: m**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 6.72 - 7.52. Let x = -1807061.6999983 + 1807062.5. Let n = x + w. Round n to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate ((-12)\/(-264))\/(((-685)\/(-548))\/((105\/18)\/7)).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -421 = 5*g + z, 4*z + 0 = 16. Let f = -19 - g. What is the remainder when f is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -17 + 15. Let x be ((-1016)\/(-16) + -3)*1*h. Let f = 210 + x. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*m**2 - 30*m - 112 = 0 for m.\nAnswer: -8, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 6 + 9 = -5*m + 5*r, -4*m + 3*r = 9. Let j(u) = -4*u + 52. Let p be j(14). Let l be 168\/30 + p\/(-10). Solve m = -d + l*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 36622170371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: -49 + 24 - (-3 + (-4 - -6))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.9881732 millilitres in litres?\nAnswer: 0.0009881732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of 6 and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is -2134 (base 12) in base 8?\nAnswer: -7070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Expand (7 - 3 - 2)*(937*k + 2714 + 2100*k - 2714).\nAnswer: 6074*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -16 + 38*z**2 + 43*z**2 - 122*z**2 + 42*z**2.\nAnswer: z**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the lowest common multiple of 22330 and 303050.\nAnswer: 2121350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Put -25, -5, 11, 2, -2 in descending order.\nAnswer: 11, 2, -2, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Is 3 a factor of 9369234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 15*h - 60*h + 27*h - 16*h - 82*h.\nAnswer: -116*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let j = -51.2 + 47. Let l = 4.41 + j. Let v = 0.210017 - l. What is v rounded to six decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*q - 1 + 14 = 3*c, 5*c = 4*q + 26. Let l be 7 + -8 + c + 2. Solve 0 = l*f - 8 - 27 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v(o) = -18*o**2. Let p(m) = -2*m**2. Calculate 108*p(x) + 2*v(x).\nAnswer: -252*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: -5 (base 13) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let l(h) be the second derivative of -h**5\/20 - h**4\/3 + 2*h**2 - h. Let d = -14 - -9. Calculate the remainder when l(d) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b be (-8 + 288\/30)\/((-2)\/7). Suppose -2*q + 3 - 13 = 0. Which is bigger: b or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 38*o = 37*o + 11. Suppose o = -4*y + 3. Is y bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ddddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: In base 5, what is 2 + 43212024?\nAnswer: 43212031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Sort 24, -4\/25, 3\/5 in increasing order.\nAnswer: -4\/25, 3\/5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: -196 times 0.04\nAnswer: -7.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -26 - -21 - (-3 - 3 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let u be 3\/9 + 32\/36*-6. Which is the second biggest value? (a) -11 (b) u (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 4 - 2*u + u - 4.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Is 7*46*(-1)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: 1\/(1474\/134 + (-2424)\/220)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -101\/61042 and 3\/782.\nAnswer: 1037714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is 5 divided by -418803461?\nAnswer: -5\/418803461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -5 in -0.3, -5\/6, -0.4?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let i(u) = 4*u**2 + 2*u - 1. What is i(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -2 + -8 - (-28 + 11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Expand -1 + 8*y - 11*y - 2*y + (3*y - 5*y + 4*y)*(-6 + 1 + 0).\nAnswer: -15*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 66 - 46. Suppose -b = b + a. Let n = b - -15. Solve -6*w + w - 25 = -4*y, -n*y - 3*w = -22 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w be (-1245726)\/51160 + 27\/45. Let g = -1\/2558 + w. Let i = -321 - -583\/2. What is the common denominator of i and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 11, what is -1a997 - 3?\nAnswer: -1a99a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -3942 - -4722. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 105*l**4 - 187*l**4 - 473*l**4 + (-2*l - 2*l + 2*l)*(2*l**3 - 2*l**3 + 2*l**3) to the form i*l**4 + g*l**2 + q*l**3 + k*l + j and give i.\nAnswer: -559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let k(v) = 3*v**2. Let m(y) = -1713*y + 6. What is m(k(o))?\nAnswer: -5139*o**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -12219*p**5 - 11*p**4 + 10539145*p**2 wrt p?\nAnswer: -733140*p**2 - 264*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*o + 26 = i - 13, 54 = i + 3*o. Suppose -i = 2*g - 7*g. Solve -2*x + g = x, a - 4*x + 9 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten millions digit of 7570475926?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is 10 minutes before 6:37 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -424618 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Is 24713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-534)\/(-1958)*(-165)\/54.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third smallest value? (a) 0.04 (b) 0.06 (c) 2\/9 (d) -2.21 (e) -0.022 (f) -0.1 (g) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Sort 19, -151\/4, 3.\nAnswer: -151\/4, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Sort -2\/3, 2, 93, 1\/7, 2\/7 in descending order.\nAnswer: 93, 2, 2\/7, 1\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let a(i) = 6*i**2 - 10*i**2 - 7*i - 2*i + 6*i**2 - 7. Let r be a(-1). Put r, 22, 2, -4 in ascending order.\nAnswer: -4, 2, r, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-76)\/25992*19 + (-1144)\/(-5040)?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (1974 - 1935) + (14 - 4).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 1628 - 1036. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 0 + 8 + -1 - 2 - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -3*m + 83 + 49. Let t = 55 - m. Calculate the remainder when t is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 2333.674 minutes in seconds?\nAnswer: 140020.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Convert -67b8 (base 12) to base 9.\nAnswer: -16715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve 88*p - 2*p = -137*p + 3791 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let s(y) = 2803*y + 647509. Give s(-231).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Is 8773900 a multiple of 1178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is the tenth root of 24801931 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Does 31 divide 336121406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 0.1 or 0.368?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -8*v = -6*v - 4. Factor 0*x + 0 - 2\/3*x**v.\nAnswer: -2*x**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 48 a factor of 2256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let c(q) be the first derivative of -2*q**3\/21 + 3*q**2\/7 - 16. Find v, given that c(v) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fifth smallest value? (a) 1\/3 (b) 2\/9 (c) 5\/4 (d) 0 (e) -2 (f) -3\/5 (g) -76\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*r + 24 = 2*r. What are the prime factors of ((-60)\/r)\/(1\/2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(119)*-2*3 - sqrt(119)*1*-1)*4*6)\/((sqrt(700) - (sqrt(700)*-3*4 + sqrt(700))) + sqrt(700) + -2*sqrt(700)*1).\nAnswer: -12*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: How many millilitres are there in 881.8423l?\nAnswer: 881842.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve 608 = 281*i + 137 - 372 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let h(n) = -3*n**2 - 16*n + 1. Let o(f) = 2*f**2 + 8*f. Let g(y) = -3*h(y) - 5*o(y). What is g(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 1123156859 - 1734696859. What is u rounded to the nearest one million?\nAnswer: -612000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(g) = -16*g**2 - 4*g + 10. Let j(s) = s**2 - 13*s + 14. Let v be j(12). Let x be c(v). Let r = x - -114. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -30*n + 90 = -24*n. Suppose -n*t = -18*t + 735. What is the units digit of 3\/(t\/354 + (-12)\/18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*z - 8*s = -7016, 913*z - 7007 = 911*z - 5*s. What is the lowest common multiple of 76 and z?\nAnswer: 3496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 287753 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let i(c) = 3*c**3 + c**2 - c. Let l be i(1). Let n be 18\/4*2\/l. Suppose 8 = o + n*o. Solve 0 = o*s - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -195*d - 2*r + 50992 = -192*d, -5*d + 84991 = -r. Which is smaller: d or 16999?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.0218444 to 3 decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 78265640.\nAnswer: 2, 5, 1153, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {q: 4, s: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence tti when three letters picked without replacement from itittittptitiittiti.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 2*(-2 + (0 + sqrt(684))**2 + 3 + 4 + (1 + sqrt(76))**2).\nAnswer: 8*sqrt(19) + 1532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -68641 or -68640?\nAnswer: -68641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let w be 2\/(-9) - (-2)\/9. Suppose w = 3*j - j - 18. Let c = -5 + j. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(y) = y. Let q(i) be the third derivative of i**7\/1680 + i**5\/15 - 18*i**2. Let b(g) be the third derivative of q(g). Give k(b(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Divide -2 by 6136.\nAnswer: -1\/3068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let t(m) = -13*m**2 + 8*m - 31. Let s(n) = 7*n**2 - 4*n + 15. Let z(k) = -9*s(k) - 4*t(k). Let f(r) = 5*r**2 - 2*r + 5. Give -13*f(x) - 6*z(x).\nAnswer: x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third smallest value? (a) 3\/4 (b) -3291 (c) 0.2 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -79237 - 5*d**2 + d**3 - 79231 + 237659 + 5*d**2 - 79191.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 3*s**4 + 832723*s**3 - s**2 + 328248996*s?\nAnswer: 36*s**2 + 4996338*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Express -7*r + 4 - r**2 - 5 - 1 as h*r**2 + t*r + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Put 2, 0, 5059, -18, -2 in descending order.\nAnswer: 5059, 2, 0, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*c = 3*f + 41558, 3*f = 5*c - 2*c - 24936. List the prime factors of c.\nAnswer: 8311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 11*y + 5*c = 23*y - 567 + 301, 0 = 3*y - y + 4*c - 54 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let k(c) = 15*c + 120. Let i be k(-8). Solve i = 4*d + d, 3*b - 6 = 5*d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand a**3 + 0*a + 0*a + (-4 - 2 + 4)*(-3*a + a + 0*a)*(-1 + 1 - 2)*(378*a**2 + 107205 - 107205).\nAnswer: -3023*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Determine a, given that -4*a**3 + 896*a**2 - 16652*a - 81200 = 0.\nAnswer: -4, 25, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 7484 - 4350. What are the prime factors of a?\nAnswer: 2, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest common multiple of 840 and 1754466?\nAnswer: 35089320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: 0.015 + 39909026617\nAnswer: 39909026617.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let y(t) = -t**3 + 16*t**2 + 15*t + 41. Let j be y(17). Suppose -d = -j + 5. Differentiate -33*o**d - 6 + 17 + 16 wrt o.\nAnswer: -66*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 3*(-4*((-2*1*sqrt(343))**2 - (sqrt(343) + ((sqrt(343) - (sqrt(343) - sqrt(343)*1))*-6)**2 - sqrt(343))) + 5).\nAnswer: 131727","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 379943 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -11 + 13. Let j = -2 + g. Let d = 2 - 0. Put d, j, -4 in increasing order.\nAnswer: -4, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 745 + -740. Suppose 0 = 3*s + 2*d + 14, -4*s - 7 = -2*s - d. Let x be 0*(-2)\/s - 0. Solve m*v + x*v = 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 25852011?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Is 12 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 1371 and 1785499?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Round -28.938 to 0 dps.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Divide 2 by -79565.\nAnswer: -2\/79565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (g**(-1\/4))**(-15)\/(g**(2\/15)\/(g*g*g*g**2*g)) assuming g is positive.\nAnswer: g**(577\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the fth term of -529, -1086, -1643, -2200, -2757, -3314?\n\"Answer: -557*f + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 32756 is divided by 32719?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: -0.49 * 13\nAnswer: -6.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Express 157*i**4 - 156 + i - 164 - 160 + 635 - 163 in the form r*i**2 + p*i**4 + q*i**3 + l*i + x and give p.\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let a(r) = -16 - 312*r - 3 + r**2 + 303*r. Calculate a(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express -5*t**3 - t + 0*t**2 + 1363*t**4 - 2*t**2 - 1361*t**4 in the form g*t + a + w*t**4 + s*t**3 + r*t**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 5*8\/148*2226\/11130.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((j**(2\/5))**(-32)*(j\/(j*(j**0*j)\/j*j))\/(j\/(((j**4*j)\/j*j)\/j*j)))\/((j*j**1*j)**31\/(j**(-6)\/((j**(-3)*j)\/j*j))) assuming j is positive.\nAnswer: j**(-534\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let k be (-1)\/(2*1\/(-4)). Let v(z) be the first derivative of -6*z + 5*z + 3 - 3*z + k*z**2. What is the derivative of v(d) wrt d?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: -50114 or -50112?\nAnswer: -50112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is 285 divided by 74?\nAnswer: 285\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let z = 29 - 47. Let g = 92\/5 + z. Factor g + 4\/5*s + 2\/5*s**2.\nAnswer: 2*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -3015, -5857, -8699, -11541?\nAnswer: -14383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of 25\/692856 and 59\/1385712?\nAnswer: 1385712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Is (-25)\/2*(-32)\/40 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3*o - 5*h + 11 = 19, 5*o - 8 = -3*h for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let o(a) = a**2 + 8*a - 8. Let q be o(-8). Let f = -6 - q. Let l = -2618 - -2620. Solve 0 = l*c - 2 - f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (-4066)\/76*1*((-4)\/10)\/(22\/(-110))?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 74167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -167 + 76 = 7*p. What is the thousands digit of (247\/p - -13) + 1 + 1866?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d(b) be the first derivative of b**3\/3 + b**2\/2 + 6*b - 2. Let p(s) = s**2 + 6. Let o(h) = 4*d(h) - 3*p(h). What are the prime factors of o(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(o) = -3*o - 10. Let z be f(-6). Suppose -23 = -3*r + 3*v - z*v, 4*r = v. Let b(g) = 1. Let k(i) = -6*i + 2. Calculate r*k(x) - 2*b(x).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 88 and 484.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 3331446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from ddkdkkdddddkk. What is prob of sequence dk?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Sort 4, 1, 111.\nAnswer: 1, 4, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let y(a) = a**3 + 6*a**2 - 69*a + 308. Determine y(5).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Express -3*g**3 + 3 + 2*g - 1 + g**3 - 6 as d*g**3 + w*g + a*g**2 + p and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Is 416126929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*w + 0 = -2*u + 6, -2*u + 4*w + 14 = 0. Find the third derivative of -2*f**3 - f**2 - f**5 + 73*f - 2*f**u - 74*f wrt f.\nAnswer: -180*f**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 4\/(-48) + (11\/(-4) - -3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(s) be the third derivative of 4*s**7\/15 + 127*s**3\/6 + 2*s**2 + 5. Differentiate l(i) with respect to i.\nAnswer: 224*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((c*c**(-14))**(-4))**17)**(-2\/129) assuming c is positive.\nAnswer: c**(-1768\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: ((3 - 1)*3)\/(-6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let p(r) = -r**2 + 15*r + 60. Let g be p(18). Is (-10)\/4*(g - (-1212)\/(-30)) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(p) = p**2 - 42009. Give f(-205).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 66 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 9 - ((-8 - -15 - -6) + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 28 + -29. Do w and -372 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.0000004899 rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let m = -3 - -6. Let y = m + 0. Solve y*s + 3 = -9 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 0 + 3. Suppose -t*z + 0 + 27 = 0. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((s**(1\/3))**35)**(-18) assuming s is positive.\nAnswer: s**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -13 + 8.2. Let h = k - -4.775. Let v = 2.725 + h. What is v rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(r) be the second derivative of -r**3 + 7*r**2\/2 + 2*r. Let z be f(-7). Solve 5*v = -3*m + 19 - z, 0 = -3*m - 2*v - 21 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(p) = 11*p. Let r(x) = -8124*x + 2031*x + 2041*x + 2043*x + 2031*x. Calculate 7*b(a) - 4*r(a).\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -35\/258 and 121\/243189080.\nAnswer: 729567240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 6*(4 + sqrt(1100) + -2 - (sqrt(1100) + (sqrt(1100) + 1 - sqrt(1100))*2))**2 - ((-3 + 0 + sqrt(1100) + 3 + sqrt(1100))**2 + -1).\nAnswer: -4399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from ppppnnnppnppnnnpnnp. Give prob of picking 2 n.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Solve o - 31 = 7*z - 0*z - 106, 8*z - 206*o - 96 = -210*o for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -861*n - 875*n + 3081*n - 1328*n.\nAnswer: 17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -q**3 + 5*q**3 - 1 - 6 with respect to q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 2202 - 9421 + 2784 - 2*k + 1394.\nAnswer: -2*k - 3041","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 13, -84, -333, -806, -1575, -2712?\nAnswer: -4289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 57956926 is divided by 1264.\nAnswer: 1262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let x(c) = -23*c + 4*c - 8 + 12 + c + 7*c. Let r(t) = -t**3 - 6*t**2 + t + 2. Let o be r(-6). Is 8 a factor of x(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z(x) = -4*x. Let t(j) = 131*j**2 - 2427*j. Let o(h) = -30*h**2 + 560*h. Let f(y) = 35*o(y) + 8*t(y). What is f(z(v))?\nAnswer: -32*v**2 - 736*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let d(g) = 138 + 6*g - 140 + 2*g + g. Suppose 0 = 4*y - 0*z - z - 57, -3*z = 15. Let k = 3 + -9. Let p(s) = 4*s - 1. Give k*d(w) + y*p(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Work out 1629865 + -0.538.\nAnswer: 1629864.462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -7*w - n - 1 = -10*w, -4*w + 3*n - 2 = 0. Let p(i) = 3*i + 3*i**2 - 4*i + i**2. Let x be p(w). Solve -x*s + 4*m + 12 = -0*m, -2*s - m = -8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*w - 2*w = 3*p + 21, 5*p + 28 = -2*w. Suppose 0 = -7*f + 4*f - 30. Let z = f - p. What is the third smallest value in 0.2, z, -2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -103 - (-96 - (31 + -74)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 22788294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Work out -813 * 0.5.\nAnswer: -406.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is 1311603257 to the power of 1\/4, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 9 - 5. Let k(c) = 6*c**3. Let j(q) = -7*q**3 - q. Let m(l) = i*k(l) + 3*j(l). Factor m(n).\nAnswer: 3*n*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z = -104563 + 32575. What is z rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 165 + -170. What is the fourth biggest value in h, -6, 2\/3, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*r + 3*b + 69 = 0, 0 = -3*b - 0*b - 15. Suppose 0 = 4*a - r + 11. Factor 2\/5*c**a + 0*c**3 + 0*c + 0 - 2\/5*c**2.\nAnswer: 2*c**2*(c - 1)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -1620 divided by 405.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let j(h) = h - 38. Let g(s) = 125*s**2 - 371*s**2 + 120*s**2 + 125*s**2. Give g(j(i)).\nAnswer: -i**2 + 76*i - 1444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let y(c) = 13*c + 90. What is the remainder when 142 is divided by y(-4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 405 = 3*m - 804. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*g + 3*c + 23 = 4*g, -4*c - 28 = -4*g. What is the common denominator of 92\/(-16) + g + -1 and 71\/6 + (-2)\/(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -8548*u**6 + 89*u**2 - 2*u + 2 wrt u?\nAnswer: -1025760*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Sort -22, 5, 8, 1, -216, -2 in increasing order.\nAnswer: -216, -22, -2, 1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.00018383 rounded to 5 decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let i(j) = -j**3 - 4*j**2 - 2*j + 4. Let x be 30\/12 + (-2)\/4. Suppose 2*f - x*g + 12 = 0, 2*f + 4*g - 3*g = -21. Let l be (6\/(-18))\/((-1)\/f). Calculate i(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 0.066 - -51.934. Let s = n - 52.00036. Round s to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -5*v + 4*v + 5*r = -16, 3*r + 12 = 3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the lth term of -47757123, -47757116, -47757107, -47757096, -47757083, -47757068?\n\"Answer: l**2 + 4*l - 47757128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let d(x) = x**3 + 4*x**2 - 5*x + 6. Let m be d(-5). Let l be (-8)\/m*(88 - 1). Calculate the lowest common multiple of 8\/12 - l\/6 and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort 67, 60, -5, -8, 10 in descending order.\nAnswer: 67, 60, 10, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is 816301 (base 9) in base 5?\nAnswer: 110433241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -0.1? (a) -2\/13 (b) -3 (c) 1\/7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let g(c) be the first derivative of c**5\/10 + 5*c**4\/8 - 7*c**3\/6 - 5*c**2\/4 + 3*c + 33. Let g(b) = 0. What is b?\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 58*g - 37017 + 36437 = 0 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Convert 3014 (base 6) to base 7.\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of 12474*j**6 - 10*j**5 + 195514*j**2.\nAnswer: 1496880*j**3 - 600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from qqolvl. Give prob of picking 1 l, 2 q, and 1 o.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Solve -b + s + 11 = 0, 11*b - 122 - 64 = -2*s for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Express 4*x**3 - 369*x - 415*x + 786*x - 1 - 11*x**4 - 3*x**2 in the form o*x + y + j*x**3 + m*x**4 + d*x**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 193703894.\nAnswer: 2, 73, 1326739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*n = -0*n - 82. What is the remainder when n is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v(x) be the second derivative of x**3\/6 - 2815*x. Let y(w) = -1537*w. Calculate y(v(z)).\nAnswer: -1537*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the millions digit of 208324467?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((a*(a**(-3\/4)\/a)\/a*a)\/(a*a*a*a*a**(1\/19)\/a*a*a*a))\/(a\/a**(-1)*a**(-9)) assuming a is positive.\nAnswer: a**(15\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Convert 443 (base 5) to base 16.\nAnswer: 7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the third smallest value in 3\/17057, 4, 0, 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is 125397 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Solve -10*c = -13*c + 12, 5*u + 10*c = 25 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: (-13)\/((-520)\/(-32))*10\/(-4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is 40 minutes before 9:15 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 69895284 divided by 1.\nAnswer: 69895284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Does 29 divide 783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Factor -48*b**2\/7 + 3269976*b\/7 - 55691370003\/7.\nAnswer: -3*(4*b - 136249)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 101\/180 and 52\/357.\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let o(y) = -2*y**2 - 13*y - 18. Let t be o(-4). Sort t, -2, -11 in ascending order.\nAnswer: -11, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 24662 + -24466. Solve -k*u = 5*c - 193*u - 11, 2*u = 2*c + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 455079 is divided by 5230.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: In base 7, what is -5 + -12644?\nAnswer: -12652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 68448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is -1962.76677 rounded to the nearest ten?\nAnswer: -1960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the xth term of -6, -11, -10, 3, 34, 89?\n\"Answer: x**3 - 3*x**2 - 3*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -6*k + 3 + 69. Solve -5*h + k = -3*m, -3*h = h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 b and 2 c when three letters picked without replacement from cccbrmbrmcm.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Solve -5*y - 3*x = -3, -2*y + 0*x - 2 = 2*x for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 371 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {o: 5, k: 11}. Give prob of picking 4 o.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 59, 54, 47, 38?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -4*p + 8, 4*p - 3 = u - 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Express -26 - 10*k**3 - 42 + 39*k + 68 in the form p + w*k**2 + l*k**3 + a*k and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(343) + 1 + sqrt(343)*-1 + -6*(sqrt(7)*1 + 1) + (1*sqrt(700)*-2 + -2*sqrt(700)*-1)*-3)**2.\nAnswer: 60*sqrt(7) + 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let z(g) = g - 9. Let b(w) = w - 4. Let s(c) = c**3 - 1. Let p be s(1). Suppose 0*l - 3*l + 6 = 2*f, 4*l = p. Let h(t) = f*z(t) - 5*b(t). Calculate h(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*v = 14 + 16. Let y = v + -5. Suppose -4*z + y*z = 32. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of 0 and 17370?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4 - 22 = -2*z. What is the third derivative of 2*a**4 + 7*a**2 + z*a**4 + 17*a**2 - 7*a**4 wrt a?\nAnswer: 192*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 12\/(-22)*((-30)\/(-120))\/(9\/4)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 14 = 5*i - 2*t - 0, 3*t + 4 = -i. Solve -120*c - i = -119*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 1 = -7*y + 8*y. Let m = -36 - -34. What is the nearest to m in -0.06, y, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth root of 928295123 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let i be (-2 + (-6)\/(-3))\/(-1). Let z be (-1 + -1 + 2)*1. Suppose i*q - 5*q + 45 = z. Calculate the least common multiple of q and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort -5, -4, -8, -3 in descending order.\nAnswer: -3, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 170795 is divided by 628?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: In base 11, what is 2 - -26629?\nAnswer: 26630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let a(d) be the first derivative of 0*d**4 - 1 + 1\/15*d**5 + 0*d + 2\/3*d**3 + 3\/2*d**2. Let b(z) be the second derivative of a(z). Differentiate b(q) wrt q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 66219.537 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(208) + 4 + (sqrt(13) + (sqrt(13) - sqrt(117)))*-6)**2*-6 + 3 + (sqrt(104)\/sqrt(72) - (sqrt(1053) + -1 - sqrt(1053))))*-4.\nAnswer: 5756*sqrt(13)\/3 + 31568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((d**5\/(d\/d**16))**(1\/8))**0)**(5\/3) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is 34 + (-5 - 17) + (-38 - 7)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is -66 divided by 400?\nAnswer: -33\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let n(u) = 15*u - 6. Let l(i) = 3*i - 1. Suppose 5*c = 8 + 2. Let b(q) = c*n(q) - 11*l(q). Calculate b(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(w) be the third derivative of w**5\/60 + 7*w**2. Let k(l) = -7*l**2. Give k(b(z)).\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Multiply -2 and -2.91.\nAnswer: 5.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -1 - 3 - (3 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let v(c) = 0 - 3 - 2*c**3 - c**2 - 2*c + 4 + 5*c. Let r(m) = -2*m**2 - 8*m + 14. Calculate the smallest common multiple of v(-2) and r(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -27*x**4\/2 - 1930*x**3 + 196055*x**2\/2 + 2461850*x - 91314 = 0. What is x?\nAnswer: -178, -19, 1\/27, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Convert 0.0024 decades to millennia.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let i = -78 - -80. Solve i*x = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the distance between 0.9 and 0.38?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {i: 12, j: 1}. Give prob of sequence ij.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -38672, -77275, -115878, -154481, -193084?\nAnswer: -231687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} -{"text":"Question: Calculate (-2 + 5 - -6) + -2 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is -1111111101 + -10?\nAnswer: -1111111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the kth term of 190, 759, 1700, 3007, 4674, 6695, 9064, 11775?\n\"Answer: -k**3 + 192*k**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is (3*28\/(-735))\/(6\/(-7))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Is 415619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence gpb when three letters picked without replacement from bbgbgbggpbbpbpbpp.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let m(h) = -h. Let i(a) be the third derivative of -a**4\/6 - a**3\/6 - 4*a**2. Suppose -x = -4*j - 7 + 24, 4*j = 5*x - 11. Give j*m(t) + i(t).\nAnswer: -10*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -20132027 or -20132022?\nAnswer: -20132027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 7:05 PM and 12:23 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Sort 1, -4786, -21 in ascending order.\nAnswer: -4786, -21, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let m be 2\/2 + -1 + 0. Suppose x = -m + 22. What is the greatest common factor of 22 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Determine h, given that -4*h**2 - 472*h = 0.\nAnswer: -118, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let a(u) = -2*u**3 - 11*u**2 - 6*u - 2. Let c be a(-6). Let f = c - 1113\/16. Find the common denominator of -17\/4 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round -1305.1856962 to 2 dps.\nAnswer: -1305.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 2 - 1\/((-12)\/(-55)) - -2 and 17\/33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -239 (base 14) in base 11?\nAnswer: -373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let f(h) = 11*h**3 + 2*h**2 + 58*h + 4. Let a(i) = 2*i**3 + i**2 + 1. Determine 4*a(m) - f(m).\nAnswer: -3*m**3 + 2*m**2 - 58*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is -1644.5 rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Sort 0.1, 4, 1, -0.3, -0.077 in ascending order.\nAnswer: -0.3, -0.077, 0.1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 2069026?\nAnswer: 2, 1034513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Express -3*d**3 + 0*d**3 + 2*d**3 + (-d**2 - d + d)*(11*d - 40*d - 4*d) as b*d**3 + o + t*d**2 + r*d and give b.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.0000087 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*u = u + 2. Suppose -3*g + 2 = -u*g + 5*s, 0 = g - 2*s - 2. Suppose 20 = 5*w - 2*p, g*w + p = -0*w + 8. Put w, 5, -4 in descending order.\nAnswer: 5, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d(c) = c**2 + 2*c - 2. Let j be d(-4). Let m be 73\/2*j\/(-3). Let l = 162 + m. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s be 1*6 - 0 - -2. Suppose -s = -3*c - c. Find the third derivative of 2*i**c - 3*i**2 - i**6 - i**2 wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 26141420 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 769 is divided by 138.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 667031, 667021, 667011, 667001, 666991, 666981?\nAnswer: 666971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -0.47 (c) -17458 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-8 - (-8 - -3)) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -r = -4*r - 33. Let c(i) = i**3 + 11*i**2 - 10. Let u be c(r). Let b = u - -20. Solve g = -g - b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*u - 828275 = -2*g, -g - 444835 = -4*u + 217772. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(x) = -x**3 - 8*x**2 + 9*x + 3. Let w(z) = z**2 + 7*z - 9. Let v be w(-7). Let h be m(v). Which is the biggest value? (a) 0.05 (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b = -3 + 7. Suppose b*y + 0*y - 48 = 0. Calculate the remainder when 13\/(-39) + (-206)\/(-6) is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 451, 449, 447, 445, 443?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -95868*c**2 - 3*c - 34*c**3 + 95868*c**2 - 20*c**3 + 14*c**3.\nAnswer: -40*c**3 - 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -2 + (4 - -3) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the fifth root of 28970776 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is 1861450977 to the power of 1\/2, to the nearest integer?\nAnswer: 43145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let x be -3 + 0\/1 - (-1 + 7). Let t be (-474)\/14 + -2 + 1\/(-7). Let c = x - t. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 318349?\nAnswer: 318349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let o(j) = -40*j + 80. Let i be o(9). Let b = 835\/3 + i. Sort -0.3, -1\/4, b, 3 in descending order.\nAnswer: 3, -1\/4, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r be (251\/(-3))\/((-8)\/6). Let z(d) = -32*d + 1. Let c be z(2). Let b = r + c. Which is bigger: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(h) = h**3 - 9*h**2 + 6*h + 11. Let w be n(8). Let a be w - (0 + -1 - 3). Let z be (4 - (-21)\/(-3))*a. Let x(y) = -y - 3. Give x(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 2? (a) -71 (b) -0.3 (c) 0.5 (d) -6\/13 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let y be 3*((-12)\/(-9) + 0). Let x(f) = 7*f**3 - f - 5*f**3 - y*f**2 - 5 - f**3. Determine x(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose x - 2*i - 1958 = 0, 3*x - i - 4551 = 1313. Is x a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence kot when three letters picked without replacement from kvtuuok.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let g be -1 - (0 + -3)\/(-1). Suppose 0 = 2*j + 10, -5*t - 2*j - 306 - 579 = 0. Let v = g - t. What is the greatest common factor of v and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(p) = 2*p**2 - p + 25. Let x be s(0). Solve -3*m - 3*u = -21, 4*m + 3*u - x = -0*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 186 - 111. Calculate the remainder when q is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a be 37\/5 + 6\/10. What are the prime factors of (a\/(-14))\/(6\/(-21))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the rth term of -94, -98, -102, -106?\n\"Answer: -4*r - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let w(z) = -z**3 + 22*z**2 - 23*z + 37. Let q be w(21). Let i be ((-16)\/20)\/(-4) + 21\/q. Which is the nearest to 1\/3? (a) i (b) -0.1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -2*r**3*t*z**2 - 7*r**3*z**3 + 9*r**3*z + 71*r**2*t**2*z**3 - 12*r**2*t**2*z**2 wrt z?\nAnswer: -42*r**3 + 426*r**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 52 + -154\/3. Let 0 - 1\/3*m - 1\/3*m**3 + n*m**2 = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v(f) = -f**3 - 7*f**2 - 5*f + 1. Let d(x) = -x**3 - x**2 - x. Let r(t) = -5*d(t) + v(t). Let k be r(1). Let g(w) = 3*w + 3. Calculate g(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 4547.\nAnswer: 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -0.48852 + -0.01148. What is the closest to 4 in 0, -0.04, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(u) = 39*u - 1994. Let g be o(51). Let c(f) = 3*f**2 + 6*f. Give c(g).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from bnz. Give prob of sequence zb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let t(o) = 247*o**2 + 5*o + 29. Is t(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is ((-4)\/((-40)\/3))\/((-8349)\/456412)?\nAnswer: -82\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.000003943 to seven decimal places.\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Expand (31 - 3 - 5)*(x**2 - 4*x**2 + 4*x**2 + (-2 + 2*x + 2)*(4*x - 7*x + x) - x**2 + 2*x**2 + x**2).\nAnswer: -23*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is 526 minutes before 9:56 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*q - 3*o - 2490 = 0, 0*o - 1005 = -2*q + 3*o. Suppose -q = -3*b + 492. List the prime factors of b.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3 = 3*b - 5*a, 5*a = -2*b - b + 27. Suppose -k = -b*w - 280, 2*k + 2*w - 572 = 6*w. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q(y) = -217*y**3 + 4*y**2 - 5*y. Let d(i) = 438*i**3 - 9*i**2 + 11*i. Calculate -4*d(l) - 9*q(l).\nAnswer: 201*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let p be 1\/(-10) - (1 - 24\/15). Which is smaller: p or -86?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 33\/64 and (-2358)\/(-2080) + (-154)\/(-1001).\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 5, 31, 59, 89, 121, 155, 191?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Is 4576150631 a multiple of 235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Is 62 a factor of 990264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: -5294874 divided by -6\nAnswer: 882479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Sort 1, -3, 38, -4, 1539, 3 in increasing order.\nAnswer: -4, -3, 1, 3, 38, 1539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 305 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.19585 rounded to three decimal places?\nAnswer: 0.196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let d = -15 - -20. Solve -2*r + 20 = -5*m + 3, 3*m = 5*r + d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put together -430 and -84.\nAnswer: -514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 1103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Factor 3878278656*s**2 - 10525536*s + 14283\/2.\nAnswer: 3*(50848*s - 69)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let g(f) be the first derivative of -f**4\/24 + 5*f**3\/6 + 17*f**2\/2 - 17. Let b(w) be the second derivative of g(w). Suppose -2 + 22 = 4*d. Determine b(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence pjp when three letters picked without replacement from jpjjjjjpjjjjjjpjjj?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let h be (3\/(-6) + 3)*4. Let r(g) = g**2 - 16*g + 20. Let d be r(h). Let w = -5 - d. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 80 - 35. Let z = 42 - k. What are the prime factors of 87 + -8 - (z - 0)*1?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 571445 divided by -16327.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let n(z) be the third derivative of 1\/8*z**4 - 1\/6*z**3 + 0*z + 1\/6*z**5 + 2*z**2 + 0. What are the prime factors of n(2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(x) = -20*x + 63. Calculate c(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Put 883, -9, 265 in decreasing order.\nAnswer: 883, 265, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of 10389*b**2 + 35*b**4 - 17*b**3 - 27*b**3 - 8362*b**2 wrt b.\nAnswer: 840*b - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 11, what is -170417 + 0?\nAnswer: -170417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 17*q - 397 = -108. Is 17 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor -5*x**2 - 63075*x - 63070.\nAnswer: -5*(x + 1)*(x + 12614)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((z**(-3\/7)\/(z**(-4\/3)\/z))\/((z*(z\/(z*z**3))\/z*z)\/z**(-2\/25)))**(-21) assuming z is positive.\nAnswer: z**(-2008\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2\/3*l**3 + 2\/3*l + 2\/3*l**2 - 2\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (9 - 14) + 5 - (-5 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is 272.09 minus -5?\nAnswer: 277.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (1*sqrt(153)\/sqrt(3)*-5*5)\/((sqrt(33) + sqrt(165)\/sqrt(5)*5)\/(((sqrt(22)*2 - sqrt(22)) + sqrt(22))\/sqrt(2))).\nAnswer: -25*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 17 - 12. Let m(q) = 2*q**2 + 75*q + 569. Let z be m(-28). Solve -5*s - l*k = -k - z, -12 = -4*k for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(y) be the first derivative of 1\/2*y**4 + 6 + 0*y**2 + 0*y - 4\/3*y**3. Find the third derivative of b(v) wrt v.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -45863, -91443, -136741, -181757, -226491, -270943?\nAnswer: -315113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the seventh smallest value in -3, 5, -1288, 4, 28, 2\/5, 0?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let z be -1*(0 + -5 - -3). Suppose -18 = -z*r - l - l, 5*l + 5 = 5*r. Solve 0 = -r*u - 18 + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -20.07 - -22.4. Let f = 0.12 + p. Let w = f + -0.45. What is the nearest to w in -4, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 30137663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-2*s - 2*s + 3*s)*(-23*s - 21*s + 48*s**2 + 44*s) to g*s**2 + o*s + y*s**3 + p and give y.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 108 + (-19 + 14 - 48).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((n**(2\/39))**(-3\/25))**(-35) assuming n is positive.\nAnswer: n**(14\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -1664 + 2384. Suppose -y = 135*k - 140*k. What is the highest common divisor of 16 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 647 minutes after 1:03 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -2 + -2 - (2 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Find b such that -9*b**5 + 88836*b**4 - 219247225*b**3 + 145927958*b**2 + 487005540*b + 194833800 = 0.\nAnswer: -2\/3, 2, 4935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let v(l) = -l**2 + 311*l - 7455. Determine v(26).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let y be 2\/8 - (-18)\/(-40). Let g = 4 + -4.1. Let j be ((-6)\/8)\/((-357)\/136). Which is the biggest value? (a) y (b) j (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n be (2 + 0 + 3)*-1. Let t = 0 - 0.2. Let v = -1.2 - t. What is the closest to v in -0.2, n, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(j) = j**2 + 8*j + 5. Let q(z) = -1. Let p(c) = 2*q(c) - r(c). Let y be p(-6). Factor -6*m**5 + 4*m - 5*m**5 - 8*m**4 + 8*m**2 + 4*m**5 + 3*m**y.\nAnswer: -4*m*(m - 1)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-20 - 16 - 4)*(j**4 + 0*j**4 - 2*j**4 + (j**2 - 4*j**2 + 2*j**2)*(j**2 + 0*j**2 + j**2)) + 3*j**4 + 2*j**4 + 3*j**4.\nAnswer: 128*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let f(p) = 22*p - 751. Let u be f(35). Calculate the greatest common factor of 1102 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(f) = f**2 + 2*f. Let n be j(-3). Let b(a) = 4 + 5*a**3 - 3*a + 0*a**3 - 4*a**n - 10*a. What are the prime factors of b(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -47847, -47575, -47119, -46473, -45631?\nAnswer: -44587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let o(y) = -y**2 + 5*y - 3. Let s be o(3). Suppose 3*r - s - 3 = 0. Let i be (r + 20\/(-6))*-3. Solve l - 21 = -4*u, i*u - 8*u - 4*l + 24 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is -1315221 at most -48663196\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: -513224 (base 7) to base 4\nAnswer: -111120131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: In base 12, what is 2 - -129?\nAnswer: 12b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*j + 48 = 2*k, 20*j - 21*j = 4*k - 96. Calculate the least common multiple of 88 and k.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d = -3481\/4 - -871. Which is the smallest value? (a) 1\/5 (b) d (c) 2\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -2574 divided by 11?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let v(x) = 6*x**3 + 49*x**2 + 2*x - 46. What is the remainder when 516 is divided by v(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 27\/257710 and -123\/4640.\nAnswer: 119577440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let z(r) = -6*r + 6. Let m be z(-7). What is the greatest common divisor of m and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Subtract 0.42293 from -0.239.\nAnswer: -0.66193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let l(u) = -3*u**3 - u**2 - 3*u - 2. Let o be l(-1). Suppose -3 + 0 = o*a. What is the lowest common multiple of 2 and (-774)\/(-72) - a\/4?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Is 1216161368 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 f and 1 e when two letters picked without replacement from {g: 1, u: 1, q: 2, f: 1, e: 1, b: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 56 + 14 = 5*n. Let z = n - 7. What is the remainder when 27 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: -1 + 1 + -9 + (-11 - -13)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let n be -3 + (-1)\/(-4)*-2*-6. Let y = 2 - -3. Which is the closest to n? (a) 1\/10 (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 13\/(-12)*(300\/(-96))\/25*-36.\nAnswer: -39\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 7471932356?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: -9a2 (base 16) to base 8\nAnswer: -4642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: In base 4, what is -210011 - -1?\nAnswer: -210010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let s(a) = -a**3 - 29*a**2 + 68*a + 6. Let g be s(-31). Let w = g + 22862\/127. Which is bigger: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 21 a factor of 20076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Solve -153*y + 390*y - 183*y - 139*y = -2125 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let b(y) be the second derivative of 17*y**6\/40 + 10*y**3 - 40*y**2 - 50*y - 2. Let x(w) be the first derivative of b(w). What is the derivative of x(a) wrt a?\nAnswer: 153*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the fth term of -1533, -1627, -1723, -1821, -1921?\n\"Answer: -f**2 - 91*f - 1441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Sum -85.36148 and -228750.\nAnswer: -228835.36148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: In base 4, what is -1110232023310222 + -11?\nAnswer: -1110232023310233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the sixth root of 35903934 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let a(l) = 105*l**2 + 195*l - 36. Determine a(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let y(k) = -k**2 - k - 7. Let p be y(0). Let c = p + 10. Solve 2 = s + c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the fifth biggest value in -5, -0.2, 0.32, 2\/5, -14, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of 71312*d**2*o**2 - 2*d*o**2 - 2*o**2 - 5*o + 1959 wrt d?\nAnswer: 142624*d*o**2 - 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is three eighths of a week in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (b*b**(-2)\/b*b*b\/(b**5*b)*b**(-3)\/b**(1\/7))\/(((b\/b**(2\/5))\/b)**3*(b*b**(-5)*b)\/b**(-2\/5)) assuming b is positive.\nAnswer: b**(-187\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 0.1 - -1.9. Let r = 2.00000056 - x. What is r rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 13, what is -6365c - 1?\nAnswer: -63660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Subtract 1 from 14.128321.\nAnswer: 13.128321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: 174276 divided by -564\nAnswer: -309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Convert -6 (base 15) to base 2.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -14? (a) -2\/3 (b) 0.4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -31*t**2 - 2*t**2 - 20*t**2 - 8*t**2.\nAnswer: -61*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2529 = -312*r + 3711 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is -2 - (-7)\/(21\/(-9))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Divide 87934 by 22.\nAnswer: 3997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 2951 - 4802. Let p = 2641 + a. Round p to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 1285, 4352, 9465, 16624?\nAnswer: 25829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let v be (-82)\/6 - 2\/(-3). Let d(i) = i**3 + 12*i**2 - 15*i - 12. What are the prime factors of d(v)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -33 + 40. Solve 5*p - 22 = -q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (12 - 35 + 56 + (-2 + 0 + 0)*(3 + 2 - 3) + 2 - 1 - 3)*(2682*i + 0 - 2681*i + 15) to the form d*i + h and give h.\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Expand (0 - 4 + 1)*((2 - l**2 - 2)*(-3*l + 3*l + l**3) + (22*l**2 + 27*l - 27*l)*(5*l - 2*l**3 - 5*l)) + (-4*l**5 + 3*l**5 - l**5)*(0 + 1 + 1).\nAnswer: 131*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Convert 101121100 (base 3) to base 6.\nAnswer: 55443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose r = 7 - 2. Let b(j) = 4*j + 5. Let f(u) = 2*u + 2. Let o(w) = -2*b(w) + 5*f(w). What is the units digit of o(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(n) = 5*n**3 + 21*n**2 + 67*n + 18. Let v(k) = 6*k**3 + 20*k**2 + 66*k + 24. Let g(s) = 4*a(s) - 3*v(s). Factor g(b).\nAnswer: 2*b*(b + 5)*(b + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify sqrt(190)\/(2*sqrt(10)) + sqrt(171)*3.\nAnswer: 19*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Convert -10011 (base 3) to base 11.\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Is 3629975280 a multiple of 1776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let q be -1 + -48 + 1 + 0. Let x be (3\/(-6))\/(1\/q). Let o = -16 + x. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 6, what is -2504 - 1?\nAnswer: -2505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the vth term of -1334, -2564, -3784, -4988, -6170, -7324, -8444?\n\"Answer: v**3 - v**2 - 1234*v - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 71258\/5 - 14251. Factor 33\/5 + 6*t - v*t**2.\nAnswer: -3*(t - 11)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(o) = -25*o**2. Let x(w) = 1 + 1287*w - 4 - 1279*w + 4. What is x(r(c))?\nAnswer: -200*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Is 1 bigger than -2\/96395?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.000001681 to seven decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -1\/2 in 2\/3, -0.5, 13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 0.1 + -5.1. Let k = -3.1 + 0.1. Let o be (-3 + 4)\/((2 - 8)\/(-3)). What is the closest to o in 3, k, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -12 + 25 + -21 - (-2 + 6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let t(f) = 3*f**3 + f**2 - 5*f - 3. Let w be t(-2). Let v = 12 + w. Let r be 1\/(20\/(-72)) + 3. Which is smaller: v or r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h(i) = i**3 + 9*i**2 + 17*i + 28. Let o(n) = 2*n**2 - 4*n - 5. What is the remainder when o(4) is divided by h(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (5\/70)\/((-3)\/(-4))*-3.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of (-210)\/9*((-28)\/(-4) + -13) and 260.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*g = -3*g - 2. Let x(z) = z**3 + 14*z**2 - 15*z. Let q be x(-15). Let c be q + -1 - 21\/(-18). Is c at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*b - 4 = 3*u - 7*u, 4 = 4*b + 4*u for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-19 - ((18 - 9) + 0 - (5 - -1))) + -4?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let s = -502.9 + 503. What is the biggest value in -57, s, -0.09?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 618 is divided by 65?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Round 4172.501 to the nearest 100.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is -5 - -1516997?\nAnswer: 1516992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Simplify b*b*b*b**(2\/11)*(b*b\/b**(-3\/10)*b*b)\/b*b*b**(-2\/3)\/b**0 assuming b is positive.\nAnswer: b**(2249\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((q\/(q*q*q**(-4\/5)*q))\/(q**11*q))\/(q**(-3\/5))**9 assuming q is positive.\nAnswer: q**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -42*s + 41*s = 0. Solve -2*f + 10 = 2*h, s = -f - 0*f + 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 85978557.\nAnswer: 3, 7, 47, 9679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 388808 to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 6986?\nAnswer: 2, 7, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 656 - 647. Suppose r - 6 - 17 = 0. Suppose -3*a + 43 = 4*g, -4*g - a = -18 - r. What is the least common multiple of f and g?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 892126, 892123, 892120, 892117, 892114?\nAnswer: 892111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the lowest common multiple of 8308 and 24.\nAnswer: 49848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 38.8 - 38.627. Which is smaller: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 126 + -122. Suppose 2*g - 233 = -m*d + 123, 0 = -2*g - 2*d + 364. Suppose 0 = 2*h - a - g, -111 = -h - 4*a + 9*a. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest value in -7, 114390\/17, 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -1704711 - -17066993\/10. Let y = h - 1981. What is the common denominator of y and -90*(30\/8 + -4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 17*j + 18*j = -40*j + 2*n + 3294, -8*j + 3*j + 232 = 4*n for j.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Is 1925\/39 at most 50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 21*k - 19*k = 0. Sort 4, 3, k in decreasing order.\nAnswer: 4, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 0.07? (a) 1\/5 (b) 804 (c) -342 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Which is the smallest value? (a) -3\/7 (b) -5 (c) 1 (d) -120\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let h(v) = -v**2. Suppose -4*r = -90 + 82. Let l(k) be the second derivative of -2\/3*k**3 + 0 + r*k + 0*k**2. What is h(l(u))?\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of j**3*l*y**3 - 4*j**3*l - 136*j**2*y**2 + 18*j*l*y**3 - 2*l*y**3 + l*y**2 wrt y?\nAnswer: 6*j**3*l + 108*j*l - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 73.7 - 74. Let q = 10 + -9.6. Which is the nearest to h? (a) -2\/5 (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (320\/(-280))\/((-4)\/(-14)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let o(q) = 6*q**4 + 12*q**3 + 4*q**2 + 2*q - 2. Let g(s) = s**5 - 11*s**4 - 25*s**3 - 8*s**2 - 5*s + 5. Let w(h) = 2*g(h) + 5*o(h). Factor w(n).\nAnswer: 2*n**2*(n + 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 26 + -176. Let i be 2\/(-7) + a\/(-378). What is the biggest value in -5, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-3 + -3 + sqrt(567) - sqrt(567))**2 + ((sqrt(567) - -2*sqrt(567))*1 + sqrt(567))**2.\nAnswer: 9108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let i(f) = -717*f - 269329. What is i(-375)?\nAnswer: -454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate 2*g*u**2 - 213*g*u - 2*g - 2*u**2 - 63*u - 2 wrt g.\nAnswer: 2*u**2 - 213*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -270*o**4 + o + 151 wrt o?\nAnswer: -3240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 23 - 24. Suppose -2*w + 10*m = 78, -2*w - 5*m = -7*w - 135. Sort -5, w, 5, l in increasing order.\nAnswer: w, -5, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(i) = 3 + 11*i - 38*i - 4 - 10*i. Is x(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*t + 127 = -3. Let y = t - 24. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (2*w + 0*w - w + 3)*(2 + 2*w - 2).\nAnswer: 2*w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -5*x + 3*x. Let q be ((-1)\/(-3) - x)*12. Suppose -2*z = -q*h - 30, z - 5*h - 35 = -z. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 14 and 46067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let t be 13 + -15*(3 + -2). Sort 34, 1, t in decreasing order.\nAnswer: 34, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 16 - 16.03. What is the nearest to r in -3, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -6*m = -10*m - 5*g - 30, -2*m = -36*g - 62 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: 1.1 * -40\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Round 42942000 to the nearest one hundred thousand.\nAnswer: 42900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the kth term of -50, 121, 540, 1285, 2434?\n\"Answer: 13*k**3 + 46*k**2 - 58*k - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Solve 3 = -3*d + 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let g be 11 + (-2)\/(2 - 0). Let s(l) = 2*l**2 + 0*l + 0*l - 13. Is s(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k be (1*5\/(-35))\/(16\/(-84)). What is the closest to 4 in -0.2, 0.12, 4, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 997840123 - 997840123 - 39*d**2.\nAnswer: -39*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is -1 + 1000010101010010101011010?\nAnswer: 1000010101010010101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*j + 976 = -1448. Is (3 + j)*(-2)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(k) = -1. Let c(y) = 2*y - 8. Let n(w) = c(w) - 8*r(w). Let s(o) = 7*o. Determine s(n(h)).\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 1277, 2546, 3815?\nAnswer: 5084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -229 = 8*q + 27. Let p = q - -34. Determine i, given that 0*i**3 - 2\/5*i**4 + 0*i + 4\/5*i**p - 2\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(h) = -4*h + 3. Suppose -5*r - 3*v = 39, -3*r + 3*v + v - 6 = 0. Suppose 2*c = q + 6, 5*c - 16 = -0*q + 2*q. Let j(k) = -k + 1. Calculate q*x(d) + r*j(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 974686562 to the nearest integer?\nAnswer: 991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 35 = -0*s + 2*s - 5*r, 4*r = -4*s. Solve 2 = 2*z - 2*f + 6, z - s*f = -22 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y be 2*((-5)\/6)\/5. Let n = 78\/371 - -4\/53. Which is the biggest value? (a) 1.1 (b) n (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 43323741 and 1206?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 0.039 - -0.161. Which is the closest to o? (a) -4 (b) -2\/11 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 1.3008747 rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let i = -12 - -15. Solve 0 = -5*k - 4*r + i - 10, 3*k + 6 = -3*r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -5 + (-1 - 2) + (0 - -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: 1\/(10\/(-8))*134\/((-1287740)\/775)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Factor 2*b**2\/5 - 19136576*b\/5 + 45776067625472\/5.\nAnswer: 2*(b - 4784144)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*s + 27 = 2. Let i(b) = 10*b**2 + 3 - 11 - 4*b - s. Suppose 2*t = -3*a - 0*t, t + 7 = -5*a. Let f(j) = 3*j**2 - j - 4. What is a*i(o) + 7*f(o)?\nAnswer: o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Is 36809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 1\/(30\/16*1140\/59850).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let a(n) = -n**2 + 1. Let j(q) = -24*q**2 + 29*q - 2. Let g = 20 + -19. Let k(r) = g*j(r) + 2*a(r). What is the second derivative of k(u) wrt u?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -22 + 25. Suppose 5*w + 13 = r - 12, -25 = -r + v*w. Solve 5*k + r = 0, 3*k + 0*k + 25 = -2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d(c) = c**3 + 5*c**2 + c - 8. Let s be d(-4). Solve 3*w = s*b + 3, -1 = 2*b - 2*w + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: 0.21883 times -0.8\nAnswer: -0.175064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Is (-78 - -82)*341\/2 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: -3558 or -3486?\nAnswer: -3486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -0.05? (a) -1\/7 (b) 621 (c) 2\/11 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 802286354.\nAnswer: 2, 401143177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose v - 32 = -3*y, 2*v + 2 = 2*y - 22. Suppose -2*m + y + 7 = 0. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence vmm when three letters picked without replacement from {m: 5, v: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -15.5 - -6. Let h = 9 + v. Let w = 0.4 - -3.6. Which is the second smallest value? (a) 5 (b) w (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 3106 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -226, -2393, -6006, -11065, -17570?\nAnswer: -25521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-2*h - h - 5*h)*(4 + 19 - 4)*((2 - 4 + 3)*(0*h + h - 3*h) + h - h - h) to the form b*h + x*h**2 + k and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 2 + (2 - 6 - -4) + -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: -422 * -33\nAnswer: 13926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let w be 590\/30 - (2 - (-8)\/(-6)). Suppose -w*f + 89763 = 17240. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 134*j + 8797 + 5808 - 132*j to v*j + y and give y.\nAnswer: 14605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 712 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is 2579000 rounded to the nearest one hundred thousand?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Expand 3 - 3 - 2*t + (2*t - t + 0*t)*(-2 - 2 + 20).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of (78\/(-12) - 6)*14*-1.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round 2621000 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Is 102 a factor of (-215385)\/(-25) - 51\/(-85)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(n) be the first derivative of -n**8\/1680 + n**7\/525 - n**6\/600 + 10*n**2 + 7. Let t(r) be the second derivative of x(r). Suppose t(z) = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-1)\/((-66)\/9*(-3)\/4).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 8 = 63*s - 59*s. Suppose -5*a - 3*p + p = -8, 12 = 5*a - s*p. Solve -a*j = 10 - 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 8:14 AM and 4:37 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -2*t - 4*t + 8*t to the form m*t + f and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -2*i**3 + 44 + 3*i**3 + 278*i + 2*i**3 - 2*i**2 - 17 - 276*i to r*i**3 + n*i + t + w*i**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} -{"text":"Question: Let q = -7.98 - -7.97541. Round q to four dps.\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: -3068850 divided by 613770\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence ro when two letters picked without replacement from {x: 8, e: 1, o: 6, r: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Put 16, -902, 0.2, 12, 5, 2 in decreasing order.\nAnswer: 16, 12, 5, 2, 0.2, -902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let 813\/4*p**3 - 921\/4*p**2 - 69\/2*p - 9\/2*p**4 + 66 = 0. Calculate p.\nAnswer: -1\/2, 2\/3, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(q) be the third derivative of q**6\/120 + q**5\/15 + q**4\/8 - q**2. Let p be f(-3). Let n = p - -2. Solve -n*v + 4 = -0*b - b, 3*b = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: -2\/9 or 0.44?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 10:23 PM and 11:22 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Sort 6, 1\/4, 4, 0.05 in descending order.\nAnswer: 6, 4, 1\/4, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let w(b) = -40*b + 3. Let n be (-4)\/(-2) + 2\/2. Suppose -5*c = 3*t + 1, -n*c + 2 = t + 1. Is w(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*k + 25 = 3*s + 4, 5*k + s - 23 = 0. Find the second derivative of k*r**2 - 41*r**2 - 26*r + 45*r wrt r.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 8? (a) 2\/7 (b) -38.2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the lowest common multiple of 1202 and 279.\nAnswer: 335358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 9.083 + -7.083. What is the third biggest value in a, 0.2, 38, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is -28 - -539?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let i be -3 - 44\/(-99)*228\/32. Let n be (4\/54)\/(1*2\/3). What is the second biggest value in i, n, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -6 - (7 + -9 + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let l(s) = 52*s**3 + 187*s + 82. Give l(0).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Find y, given that -y**5\/2 - 3*y**4 = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let u(v) = 23*v + 5. List the prime factors of u(3).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -10 - (39 - 13 - 33).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let o(t) be the third derivative of t**8\/504 + t**7\/315 - t**6\/180 - t**5\/90 + t**2. Factor o(w).\nAnswer: 2*w**2*(w - 1)*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the jth term of -139206, -278115, -417048, -556017, -695034, -834111, -973260, -1112493?\n\"Answer: -2*j**3 - 138895*j - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: How many millimeters are there in 79\/2 of a centimeter?\nAnswer: 395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let b be -1*((-63)\/(-35))\/((-3)\/10). Suppose l - 39 = -b. What is the remainder when l is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the tenth root of 345596 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -73*w + 565 = -186*w. Sort 1, 2, w, 4, 18.\nAnswer: w, 1, 2, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p = 0.02 - -0.28. Sort 5, p, -1 in descending order.\nAnswer: 5, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 1171?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let w(i) = 85*i + 97*i - 182*i + i**2. Let g(x) = -991*x + 991*x + 2 - 9*x**2. Determine w(g(c)).\nAnswer: 81*c**4 - 36*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: 2661 * -4\nAnswer: -10644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -1\/3? (a) -0.4 (b) -2888 (c) 0.1 (d) -1\/6 (e) -0.241\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 2*a**2 - 2*a**2 - 2*a**2 + (0*a - 4*a + 2*a)*(-11*a - 15*a + 5*a) to the form r*a + h*a**2 + n and give h.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of 32 + 123 + 200*u**3 + 333*u**4 - 88 - 335*u**4 + 155 wrt u?\nAnswer: -8*u**3 + 600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 9\/9*5\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 770 - 1111. Let p = -338 - g. Sort -4\/37, -5, p.\nAnswer: -5, -4\/37, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (r\/((r\/((r*r\/(r**14\/r))\/r))\/r))\/((r\/(r*r\/(r*r**33*r*r)))\/r) assuming r is positive.\nAnswer: r**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 76*j**3 + 0*j**3 - 39*j**3.\nAnswer: 37*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let b = -20165\/6 - -3370. What is the common denominator of (-9)\/36*204\/14 and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(r) = -2*r. Let h be ((-2)\/(-4))\/((-1)\/6). Let c be s(h). What are the prime factors of (-8)\/((-4)\/c - 0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor 64\/9*s + 2\/9*s**3 - 40\/9 - 26\/9*s**2.\nAnswer: 2*(s - 10)*(s - 2)*(s - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 172 + -856\/5. What is the third biggest value in 0.5, 0.3, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Work out 4609638 * 4.\nAnswer: 18438552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is 102 minutes before 1:59 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let g(i) = i**2 + 3*i - 4. Let y be g(-4). Suppose y = -5*p - 3*w + 129, 3*w = 4*p + p - 111. Solve 5*k + 25 = 2*u, -5*k + 3*u - p = -2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 258258 is divided by 1667?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -117, -250, -389, -528, -661?\nAnswer: -782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 23270537 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*g + 5*j = -0*g + 20, -g = 2*j - 3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Is 4265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Expand (0*c + 3*c - 2*c)*(7 - 10 + 1).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let k(q) be the first derivative of -q**4\/4 + 4*q**3 - 24*q**2 + 64*q - 3. Factor k(z).\nAnswer: -(z - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -3\/443408 and -73\/560.\nAnswer: 2217040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: How many days are there in 221.959008 seconds?\nAnswer: 0.00256897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let i(d) = 33 - 6*d - 66 + 30. Let x(y) = y**2. Give i(x(r)).\nAnswer: -6*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Factor 49*n**4\/8 + 217*n**3\/8 - 215*n**2\/4 + 47*n\/2 - 3.\nAnswer: (n - 1)*(n + 6)*(7*n - 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: 4 + (4 - (-1 - 0 - -8))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let g be (-1)\/(-4)*(3\/(-3) - -5). Is g bigger than 1\/126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(o) = 6*o - 1. Let t be i(1). Let k be 14\/(-21)*-3 + (-261)\/(-3). Let p = -84 + k. Solve -15 = -p*n - t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 z and 1 u when two letters picked without replacement from {u: 1, z: 11, o: 5, c: 3}.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the dth term of 249, 533, 817, 1101, 1385?\n\"Answer: 284*d - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let n(h) = -h**2 + h. Let l be n(0). Let f = 32\/19 + -454\/247. Is l at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -3359560, -3359481, -3359402, -3359323?\nAnswer: -3359244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: In base 9, what is -57757 + -16214?\nAnswer: -75072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let q(o) = 2*o**3 - 12*o**2 + 12*o - 8. Suppose 385 = -23*t - 24*t + 150. Let n(r) = r**3 - 5*r**2 + 5*r - 3. What is t*q(l) + 12*n(l)?\nAnswer: 2*l**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -19 - -24. Let q be -2 + 2\/(-2 + 0). What is the closest to -0.1 in v, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -474049, -948043, -1422039, -1896037, -2370037?\nAnswer: -2844039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of -22*p**4*y + p**4 + 14*p**2 - 399*y wrt p.\nAnswer: -528*p*y + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 z and 1 q when two letters picked without replacement from {z: 8, l: 2, y: 3, q: 2}.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {p: 10, r: 2, n: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let q(u) = 26*u**3 - u**2 + 2*u - 1. Let c be q(1). What is the units digit of (6\/(-3) - -3)*c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose s + 9*s = 60. Let a(q) = -q**3 - q. Let h(z) = -5*z**3 + 7*z**2 - 13*z - 2. Let v(n) = 4*a(n) - h(n). Let b be v(s). Is -1\/2 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 3437?\nAnswer: 7, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth root of 143597 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Expand 3*a**3 - 2*a**3 + 0*a**3 + (-1750 + 1750 + 70*a**3)*(-1 + 2 + 0).\nAnswer: 71*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 11696*i**2 - 5901*i**2 - 5788*i**2.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of -33*s**5 - 4519*s**4 - 31567*s**2 + 6*s wrt s.\nAnswer: -1980*s**2 - 108456*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Put 5, 192689, 0.26 in increasing order.\nAnswer: 0.26, 5, 192689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth root of 13870666 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Factor 3*v**3\/2 - 195*v**2\/2 + 441*v + 540.\nAnswer: 3*(v - 60)*(v - 6)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -73 + 78. Which is the nearest to 2\/7? (a) 1\/4 (b) h (c) -18\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(w) = -w**3 + 8*w**2 - 9*w + 16. Let m be i(7). Suppose u - 2*y = -148, u + y - m*y + 152 = 0. Let n = 287 + u. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 376 minutes before 1:08 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let s(l) = l**3 + l**2 + 2*l - 1. Let n(y) be the second derivative of y**5\/10 + y**4\/6 + 5*y**3\/6 - 3*y**2\/2 + 14*y. What is -2*n(h) + 5*s(h)?\nAnswer: h**3 + h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -2*-6*49\/(-1260)*3.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let m be (-10)\/(-5) - -1*3. Suppose -25 = -h - 0*h - 2*d, -4*h + m*d + 113 = 0. Find the second derivative of -2*p - h*p**2 - 5*p + 8*p wrt p.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort 0, -3, 88 in ascending order.\nAnswer: -3, 0, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Factor -k**2 + 11461*k - 490974.\nAnswer: -(k - 11418)*(k - 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let z = -293 + 297. Sort -367, z, -2 in decreasing order.\nAnswer: z, -2, -367","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v be ((-9)\/6)\/(6\/(-40)). Let g be 6\/3*1 + v. Suppose -q - 3*q + g = 0. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 1126 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Is 5639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -69 + 14\/(10\/5) + (-18 - -31).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let p be -4 - -3 - -280 - (-2 + 1). Calculate the highest common divisor of 40 and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -7*b**2*q**4 - 3*b**2*q**2 - b**2*q + 4761*b*q**6 + 2*b*q - 122*q**2 wrt q?\nAnswer: -168*b**2*q + 571320*b*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -1853, -2086, -2329, -2588, -2869, -3178, -3521, -3904?\nAnswer: -4333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Factor 4*n**2 + 580396*n.\nAnswer: 4*n*(n + 145099)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Round -114.313159 to the nearest integer.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let w(h) = -2*h**2 - 47*h - 22. Determine w(-23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Solve -7 = -264*b + 271*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4*q + m = -4538 + 4552, -3*q = -4*m + 17 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 14 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is 11188 (base 14) in base 15?\nAnswer: c451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let v(o) = o**3 - 5*o**2 + 7*o - 6. Let d be v(4). Suppose 200 = d*l - l. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q be 2\/(-13) + (-1790)\/26. Let y = -209\/3 - q. Which is the closest to 1\/4? (a) y (b) 7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i = -17 + 18. Let m(c) be the first derivative of 0*c**3 + 1\/2*c**2 - i + 1\/4*c**4 + 0*c. Find the second derivative of m(j) wrt j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: -2150.682 - 1.2\nAnswer: -2151.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of 67\/2304 and 71\/6638313?\nAnswer: 5098224384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is 55\/6 of a day in minutes?\nAnswer: 13200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 18883081 is divided by 292.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {d: 6, a: 1, g: 6, n: 3, m: 3, q: 1}. What is prob of picking 2 m?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 1257679.\nAnswer: 151, 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let x(n) = -n**3 - 6*n**2 - 2*n + 6. Suppose 0 = c - 3*q - 11 + 2, -2*c - 3*q = -9. Let w be (-2)\/c*(11 - 2). Let g be (30\/9)\/(2\/w). What is x(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -o + n + 499 = 0, -5*n = -9*n + 20. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -1394*t + 462*t + 96 + 464*t - 20 + 469*t.\nAnswer: t + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 u, 1 q, and 1 b when three letters picked without replacement from {b: 2, q: 11, u: 1}?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let j = -2207 - -3949. Is j a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h be (2 - 27)*(-3)\/5. Suppose 5*q - 3 = 12. Calculate the highest common factor of q and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: (-9)\/((-315)\/(-10))*7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((r**37*r)\/r)\/(r\/(r\/r**(-1))) assuming r is positive.\nAnswer: r**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 12 + -1. Let m = 19 - h. Calculate the greatest common factor of m and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: 1*(-24)\/16*138*2\/18\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 17 + -12. Let u(x) = -x**2 - 14*x + 22. Let d be u(-15). Suppose g*z - d = q + 44, -19 = -2*z - q. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u be ((-6)\/4)\/(4 - 1)*-40. Solve 4*w + w = u for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -2629640850 rounded to the nearest 100000?\nAnswer: -2629600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 83695 and 190?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Solve -84*h + 83*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 93057?\nAnswer: 3, 31019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -1.082 - -0.082. What is the closest to y in 0.13, 1, 3?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(t) = -3753*t - 90087. What is a(-24)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.02355778822 to 4 dps.\nAnswer: -0.0236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -22*i = 14*i - 37*i + 579. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(g) = -g**2. Let d(r) = -56*r. Give d(l(x)).\nAnswer: 56*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -1723*x + 136*x + 8836 + 8621 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-4*k + 6*k - 4*k)*(4*k**2 + 0*k**2 - k**2)*(-743*k**2 - 691*k**2 + 1639*k**2).\nAnswer: -1230*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Sort -5, 0, 4, -6, 2, -8252, -4 in descending order.\nAnswer: 4, 2, 0, -4, -5, -6, -8252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let m = -0.085 - -93.085. Let d = -89 + m. Let i = -17 - -11. Which is the second biggest value? (a) d (b) i (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (4\/((-96)\/(-20)))\/(1055\/(-23421))?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -22*a + 16 = -x - 25*a, 0 = -a - 9. Calculate the remainder when 243 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand c - 2*c + 8*c + (-c + 3*c + 0*c)*(-4 + 2 + 0).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 1055965273?\nAnswer: 11, 277, 346559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let l(m) = -22*m. Calculate l(2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence efe when three letters picked without replacement from eeeeefef.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -v = -4*v + 9. Let f(o) be the third derivative of -o**6\/120 + o**5\/30 + o**4\/6 + 15*o**2. Calculate f(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -n - 0 - 6. Let v be ((-2)\/4)\/(15\/n). Which is the smallest value? (a) v (b) -2\/5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r be 4\/10 + 34\/(-10). Let x(f) = -41*f**3 + 16*f**2 - 15*f + 8. Let m(p) = 19*p**3 - 7*p**2 + 7*p - 4. Let c(a) = 13*m(a) + 6*x(a). What is c(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -464 - 362 + u + 199 + (1 + 0 - 2)*(-4 + 2*u + 4) to d + j*u and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Factor -980*t**3 - 1540*t**2 + 795*t - 90.\nAnswer: -5*(t + 2)*(14*t - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 12 = m - 18. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -19485*n + 9347*n + 8107*n - 478*n**2 wrt n.\nAnswer: -956","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 14, what is -d1 - 7?\nAnswer: -d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose j - 3*j = 2*b - 18, 0 = -3*b + 2*j + 22. Solve 5*r - 7*r = b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(y) = -4 + 0 + 31*y + 5. Let q = -5 - -3. Let t be l(q). Round t to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from {u: 1, j: 7, g: 2}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*g - 3 = 2*m, 3*m + 4*g + 15 = -0*m. Let i(h) = h**3 + 3*h**2 - 2*h - 2. Let b be i(-4). Which is smaller: b or m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 13, what is 5 + -212c?\nAnswer: -2127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is 21\/4 of a hour in minutes?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve 2*j + 4 = 0, 2*j - 103 = -5*u - 122 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let w be ((-32)\/20)\/(-4 - -2). Suppose -162*d - 35*d = 52*d - 747. Find v such that 4\/5*v**d - w*v + 0 + 4\/5*v**4 - 4\/5*v**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify u**(-3\/10)\/(u\/(u\/u**(-1\/4))) assuming u is positive.\nAnswer: u**(-1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let f(x) = 3*x**3 + 18*x**2 - 6*x - 12. Let v = -155 - -149. Let c be f(v). What is the highest common divisor of 144 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*n + 20 - 60 = 0. Let a be 12\/n*16\/6. Let k(t) = t**2 + 3*t - 5. Determine k(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 3535 - 4992. Let d = -1456.999999271 - x. Round d to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-4*x + 2*x + 0*x)*(-6*x**2 - 8*x**2 - 3*x**2)*(-2 + 8 + 1)*(3*x - 2 - 4*x - 5) to the form u*x**3 + c*x + r + n*x**2 + j*x**4 and give u.\nAnswer: -1666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} -{"text":"Question: -0.1*-0.052\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Work out 1460 + 0.20339479.\nAnswer: 1460.20339479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 1.848 - 1.849207. Round q to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*i = 7*i. Suppose 12 = -i*d + 3*d + 3*p, -3*d + 8 = -p. Let u(w) = d*w**2 + 9*w**3 - 2 - 4*w - 6*w**3 - 2*w**3 + 0*w. Calculate u(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 2:02 PM and 11:15 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -1196 - -784. Let v = n - -8654\/21. Let d be (2\/(-3))\/(4\/(-18)). Which is the closest to -3\/4? (a) d (b) -0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the xth term of 19, 41, 63?\n\"Answer: 22*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Solve 67978 = -1664*z + 28000 - 114768 + 14970 for z.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let s(u) = -u**2 - 24*u - 77. Let a be s(-20). Let t be (-32)\/8 - (3 - (a + 784)). What is t rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -8*895\/(-6444)*(-4)\/(-10).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let t be (1*66)\/(18\/81). Suppose -9*p = -12*p + t. Suppose -10*d + 7*d + p = 0. Which is greater: 32 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x be -8*(-8)\/128*6. Solve b = x*b - k - 5, 3*b + 4*k = 13 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 5*(2 + -5*(sqrt(2) + (sqrt(2) - (2 + sqrt(32)))) + -4*(sqrt(8) + 0) + (sqrt(1152) + 0 - sqrt(8)))**2.\nAnswer: 2880*sqrt(2) + 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 57, 58, 59?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {o: 2, l: 1, z: 3, f: 1}. Give prob of sequence fl.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is 7.6047 rounded to one dp?\nAnswer: 7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let c be 1462\/357 - 15\/35. Let a be 7\/(-6) - (-2)\/3. Which is smaller: c or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put together 1757230055 and 1.1.\nAnswer: 1757230056.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} -{"text":"Question: Let a = 63 - 34. Suppose -2*g - 11 = -a. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 212*x = 207*x + 280. Calculate the highest common factor of x and 392.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 38781 - 38786. Put -3\/7, -0.5, -0.05, -1\/41, y in descending order.\nAnswer: -1\/41, -0.05, -3\/7, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v be 2*-6*68\/(-16). Let u = 99 - v. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 920337623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is 1.1341553 rounded to 3 dps?\nAnswer: 1.134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 0.007 - -0.193. Let b = 6.15 - 0.15. Is b greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*h + i = -1261, -4*h + i - 4*i + 2497 = 0. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 101111101 (base 2) in base 8?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the biggest value in -0.1, -36, 0.02845, -1\/6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*p - 25 + 16 = -v, 0 = -2*v - 4*p + 4. Solve 22*s - 54 = v*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -8*y = -2*y - 30. Suppose -2*s = -0 + 32. Let a = 29 + s. Solve 3*h + l = -11, h = -h + y*l - a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 14666 a factor of 5883555396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred thousands digit of 6039718?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let o(k) = -k**2 - k + 2. Let g(v) = -18*v**2 - 9*v + 39. Let q(d) = -g(d) + 15*o(d). Factor q(c).\nAnswer: 3*(c - 3)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify m**(-1\/50)*m**24 assuming m is positive.\nAnswer: m**(1199\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let m(s) = -s**2. Let r(x) = -7*x**2 + 7*x + 2. Let b(a) = -6*m(a) + r(a). Calculate b(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: 0.02 times -78877\nAnswer: -1577.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -4*k + 4185 - 7*k - 4185 + 0*k.\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 15 + -17. Let c be (3 - (1 - 0)) + i. Suppose c*p + 5*p = 25. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*k - 6 = -2*r - 189, -2*r + k - 163 = 0. Let c be (-14)\/r - (-2)\/6. What is the closest to 2\/3 in 0, 2\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 341478 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -1 (c) -4 (d) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from wwoljpljlwlojj. Give prob of picking 1 l and 2 j.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 62 - 57. Suppose 5*s + 4*n = 2*n + 2, 0 = s - m*n + 5. Suppose s*h = -3*q + 4*h + 1511, -2565 = -5*q - 5*h. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 71770 and 200?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {l: 5}. Give prob of picking 4 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -5*u - 2395 - 1880. Let n = 917 + u. Suppose 2*z = 4*w + 10, 1 = z + 2*w - 5*w. Calculate the remainder when n is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(x) = -5*x**2 - 51*x - 34. Let d(j) = -j**2 - 10*j - 7. Let s(c) = 11*d(c) - 2*f(c). List the prime factors of s(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide -5 by 122.\nAnswer: -5\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let y(i) = 2*i**2 - 73*i - 2507. Give y(58).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} -{"text":"Question: Let y(n) be the second derivative of -1\/2*n**3 + 0 + 1\/2*n**2 - n. What is the derivative of y(x) wrt x?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 100.2 + -543.2. Let n = r + 441. Which is the third biggest value? (a) -1\/6 (b) -67 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide 29630 by 3264.\nAnswer: 14815\/1632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-30)\/2*(-217)\/434*2\/1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 286812 and 18724.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the zth term of 42546, 42542, 42528, 42498, 42446, 42366, 42252, 42098?\n\"Answer: -z**3 + z**2 + 42546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((-4*(4 + (-1*(1 + sqrt(304) + sqrt(304)) + sqrt(304) - sqrt(304)) + (1 + sqrt(304))*-6) + 0)*5)**2.\nAnswer: 76800*sqrt(19) + 7786000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is 628 minutes after 8:13 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second biggest value? (a) -48 (b) 3\/4 (c) -0.2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 9849256 and 24344?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -20.5 - -25.5. Put -4, 1\/5, y in descending order.\nAnswer: y, 1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of -0.0202 and -0.541?\nAnswer: 0.0109282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 2\/999 + 275\/28971. Let b = -409\/65 + 103174\/16965. Let r = b - j. What is the biggest value in -0.2, 2\/11, r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(m) = 12*m**2 + 42*m - 18. Let o be b(-13). Let i = o - 577. List the prime factors of i.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(h) = -620*h. Let r(z) = -5*z + 13. Determine r(k(u)).\nAnswer: 3100*u + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let r be (-2)\/5*2\/(-4). Let l = 5\/6 - 1\/2. Let y = 34.6 + -34.5. Sort y, l, r in increasing order.\nAnswer: y, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -9*q - 4*t + 63 - 43, 5*t - 58 = -3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -45073\/22 + 2050. Let t = 1645 - 1123. Calculate the common denominator of t\/16*4\/(-6) and y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify l\/(l\/l**3)*l*l\/l**(-1)*l*((l*l\/(l*(l**(-1\/6)\/l*l)\/l))\/l)\/(l*l**(-4\/9))*(l**(-1)*l\/(l*l**(1\/5)))**(2\/9) assuming l is positive.\nAnswer: l**(661\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Add -0.057619 and 8716.2.\nAnswer: 8716.142381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -2153 + 2161. Let l(q) be the first derivative of r*q**3 + 6*q**2 + 0*q + 15\/4*q**4 - 13 + 3\/5*q**5. Factor l(a).\nAnswer: 3*a*(a + 1)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: -2 times -1510181\nAnswer: 3020362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 69\/160 and 61\/20.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -76*z + 294*z + 97*z + 186*z - 65*z to y + i*z and give i.\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate 58 + 11*j**3 + 62*j - 14*j**3 - j**2 + 5*j**3 + j**2 wrt j.\nAnswer: 6*j**2 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -o**4 + 12742521*o**3*u**3 + 4*o*u**3 - 2*o*u + 11*o + 2*u**3 + u**2 - 5635*u wrt o.\nAnswer: -12*o**2 + 76455126*o*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Is 11 a factor of 2125640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (k**(1\/3))**(-1\/49)\/(k\/(k**0\/k*k))**(8\/5) assuming k is positive.\nAnswer: k**(-1181\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 1788 and 12897589.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Solve -47*x - 2755 + 3742 = 0 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let b(y) = y**2 + 4. Suppose -16 = -3*m + 2*k, 0*k = -5*k - 10. What is the units digit of b(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*n + 5*t - 1 = -0*t, 2*n + 4*t = -2. Solve -i - 16 = -2*g - 3, -g - n = 4*i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -5*(-10)\/250*(-30)\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((q*q\/(q\/(q\/q**3))*q*q*q)\/q)**(22\/7) assuming q is positive.\nAnswer: q**(22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 8*h - 104 - 4*h - 2*h - 3*h.\nAnswer: -h - 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (55 - 100) + 21 - (-13 - -2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -4*(sqrt(9)\/sqrt(3) + 1 + -4).\nAnswer: -4*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: -100.3*-0.03\nAnswer: 3.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let v(c) = c + 9. Let k(p) = -9*p**3 + 1. Let b be k(1). Let o = -9 - -4. Let y(m) = -m - 6. Let s(f) = b*y(f) + o*v(f). What is the derivative of s(g) wrt g?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -24310 - -24317. Solve -17 = -4*p + 5*q, -2*p + q + f = -0*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(t) = -t**3 + 26*t**2 - 147*t - 2. Calculate the remainder when u(15) is divided by 88.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y be -2 + 3 - (-9 - -7). Solve -y*r + 3 + 9 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put 6, -104, -3\/7 in decreasing order.\nAnswer: 6, -3\/7, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is 3 (base 8) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of (-362)\/(-7) + (-50)\/(-175)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (1 - -43) + (114 - -53) + -143.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is (-10)\/(-8)*20\/(-100)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let q(o) = 5*o + 18. Let h be q(0). What is the greatest common divisor of 45 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 1.28 in 2\/3, 0.2, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is eleven halves of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -10*f + 480 = 2*f. Is 16 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(f) = -2*f**3 - 2*f**2 + 2*f + 2. Let y(u) = 3*u**3 + u**2 - u - 3. Suppose 13 = 3*q + 28. Let i(t) = q*l(t) - 4*y(t). Factor i(x).\nAnswer: -2*(x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-146)\/511 + (-675)\/14 + -11*(-2)\/44.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -0.05076 - -3.85076. Let z = 0 + -0.2. Let m = p - z. Which is bigger: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 1 - (-2 - -1) - (-22 - (15 + -42)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let p(r) = 13*r**2 + 13437*r + 11289606. Let c(f) = 23*f**2 + 26875*f + 22579210. Let x(l) = 3*c(l) - 5*p(l). Find t, given that x(t) = 0.\nAnswer: -1680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v be (-234)\/336 - (-24)\/42. Sort 1\/8, 0.5, 0.3, v.\nAnswer: v, 1\/8, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand -1490*l**5 - 1494*l**5 + 2979*l**5 - 52*l**4 + 4*l + l**5 + 3*l**3 - 3*l**3 + l**5 + 2 - 2 + (2*l**4 - 4*l**2 + 4*l**2)*(4*l - 4*l - 2*l).\nAnswer: -7*l**5 - 52*l**4 + 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -2\/11 and 0 + -5 + (-36)\/15.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 1476 - 1001. What are the prime factors of q?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p(b) = -b + 8. Is p(-9) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((-5)\/(-20))\/((-5)\/4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 2? (a) -2\/5 (b) 4 (c) 12 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -10*a = -2*a - 24. Let r(z) be the first derivative of 0*z**a + 1\/2*z**2 + 0*z + 6\/5*z**5 + 11 + 0*z**4. What is the second derivative of r(o) wrt o?\nAnswer: 72*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x be -12*((6 - 8) + -5). Calculate the highest common divisor of 840 and x.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((2*2*-1*sqrt(480))\/((-6*(sqrt(120) - (sqrt(120) + sqrt(120) + sqrt(120) + sqrt(120) + (sqrt(120) - -2*sqrt(120)))))\/(sqrt(36)\/sqrt(3)*3)))**2.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (689\/(-78) + 11)*81\/585.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -0.009 - -2.939. Let t = 0.07 + y. Let g = -39 - -155\/4. Which is the nearest to g? (a) 2 (b) t (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 10:39 PM and 1:26 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 294 and 168?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 1? (a) -3 (b) 27 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*x + 3481 + 169 = 0. List the prime factors of x.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many milliseconds are there in 538.955s?\nAnswer: 538955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*p**5\/9 + 361034*p**4\/3 - 48880844528*p**3\/3 + 1026444663776*p**2\/9 = 0.\nAnswer: 0, 7, 270772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let h(n) = n**2 - 29*n + 287. List the prime factors of h(42).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -701 = -63*p - 117*p + 1819. Solve -92 = -p*h - 134 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -16 = -q - 5. Put -1, q, -3, 2 in descending order.\nAnswer: q, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence zx when two letters picked without replacement from vopxoxobozxxxovx.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Determine c, given that 585*c**3\/2 - 576811*c**2\/2 + 142184651*c\/2 - 243049\/2 = 0.\nAnswer: 1\/585, 493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -36 + 46. Suppose -3*q - 28 = -4*t + 2*q, -3*q - v = t. What is the second derivative of -2*a**t - 33*a + 54*a - 35*a wrt a?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 349482835*c**5 - 36043607*c.\nAnswer: 6989656700*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of -2351*n**2 + 117*n**3 - 117*n**3 - 2887*n**6 - 582*n**6 + 496*n**6 wrt n.\nAnswer: -356760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 411.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 3693 + -1963. Calculate the highest common divisor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v(k) be the first derivative of 0*k**2 - 1\/3*k + 1\/9*k**3 + 1. Solve v(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide -48688 by 136.\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let m(v) = -2*v**3 + 29*v**2 - 9*v + 13. Let h(o) = -o**3 + 15*o**2 - 4*o + 6. Let s(n) = 11*h(n) - 6*m(n). Let b be s(8). Solve 0 = -2*q - b + 14 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 7340928 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is 274 minutes before 10:47 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {c: 4, m: 3, j: 6, x: 2}. What is prob of sequence xj?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Put 1, 0, -5, 13 in decreasing order.\nAnswer: 13, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let j = -661 + 661. Let v be (1 - 2)\/(2\/22). Let o = 5 + v. Put 3, o, j in descending order.\nAnswer: 3, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(n) = -n**3 + 1. Let j be s(1). Suppose 12 = -j*a + 3*a - 2*w, -4*w = -5*a + 22. Suppose -3*u - a*u = -60. Calculate the remainder when 35 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 372.816397 rounded to 0 decimal places?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is -471*(-5)\/(4 - 19) - 195\/(-15)?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Is 7994868001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 766293?\nAnswer: 3, 11, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Put -2\/5, -102, 9 in decreasing order.\nAnswer: 9, -2\/5, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let o be (2\/(8\/(-2063)))\/((-235)\/564). Let y = 1238 - o. Factor 2\/5 + 1\/5*s - y*s**2.\nAnswer: -(s - 2)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 756*s - 64*s + 3695*s + 272*s = 554421 for s.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let b(f) = -2*f**2 + 2*f - 6. Let d(l) = -3*l**2 + 3*l - 7. Give -5*b(j) + 4*d(j).\nAnswer: -2*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -a - 16 = -18. Suppose -a = -w - 3, 5*j - 8 = -2*w. Let n be 6 - 2\/j - 0. Solve g + 21 = n*o, -g + 4*o - 15 = -2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -82 + 84. Suppose -9 = a - 4*a, u*a - 7 = v. Sort -5, v, 1, 18 in decreasing order.\nAnswer: 18, 1, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 86408 divided by -14?\nAnswer: -6172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (j**(-8)*j)\/(j*j**(8\/7))*(j*j**0*j)\/(j\/j**9) assuming j is positive.\nAnswer: j**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 40 + -33. What is the remainder when f is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 10*h**5 + 198*h**3 + 2*h**2 - 22*h - 2070.\nAnswer: 200*h**3 + 1188*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 3\/4? (a) 1\/4 (b) 3\/5 (c) -3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let n(a) = 40*a. Let m(f) = 129*f + 36034. What is n(m(y))?\nAnswer: 5160*y + 1441360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -0.8 - -0.4. Let v be ((0 + 12)\/(-2))\/(-4 + 0). Let h = 2 + 1. Which is the nearest to h? (a) 2 (b) v (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*n = -116 - 114. Let a = n + 49. Suppose 0 = -4*f - 4*w + 252, 3*w + 116 = a*f - f. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -13 - -10. Let a(c) = c**2 + 2*c + 1. Let p be a(q). Solve s + 0 = -2*g - 1, -4*s - p*g + 4 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (0 - 1 + 2)*(1 - 1 + a) + 128 - 128 + 6*a to s*a + i and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is the lowest common multiple of 33 and -7*(2\/(-6))\/((-8)\/(-264))?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v(f) = -f + 6. Let x be v(3). Let g = x + 4. Let j = -8 + g. Which is the closest to j? (a) 0.4 (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(s) = -3*s + 18. Let c be j(6). Put c, -1, -5 in ascending order.\nAnswer: -5, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 387897099 to the power of 1\/2, to the nearest integer?\nAnswer: 19695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is 766293593 to the power of 1\/2, to the nearest integer?\nAnswer: 27682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let k(n) = n + 16. Let f be k(-11). Suppose -f = -3*p + 1. Suppose -p*i + 9 = 1. Calculate the remainder when 5 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 1 - (-54)\/280 - (-463072)\/(-405188).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let u be (-10)\/(-6) - (1 - -1). Let p = 29.75 + -29.8. Which is bigger: u or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (t**(8\/5)*t**(-18\/7)*t)**(15\/4) assuming t is positive.\nAnswer: t**(3\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*y + 2*y - 36 = 0. Suppose 5*q - 1515 = -5*x, 0*x - 4*q + 608 = 2*x. What is the units digit of 2\/y - x\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (20\/124)\/((-160)\/128)*(-1 - -2).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 141306.\nAnswer: 2, 3, 11, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: 0.00147 times -1.689\nAnswer: -0.00248283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Is 1298949853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the oth term of -1432, -5614, -12582, -22336, -34876, -50202, -68314?\n\"Answer: -1393*o**2 - 3*o - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4*h + 0 = 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (((-28028)\/693)\/(-26))\/(((-4)\/(-6))\/2)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let n(y) = y**3 - 22*y**2 - 9*y + 195. Let z be n(22). Let l(w) = w - 2. Let b(i) = 4*i - 10. Determine z*b(p) + 14*l(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let i = -88.8 - -90.7. Which is the closest to i? (a) -1\/5 (b) 2\/9 (c) -5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 11 - 8. Suppose -10*p = -h - 15*p + 27, 4*h - 13 = -p. Let v be (-14 - -14)*h\/(-4). Solve u*m + v*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 h and 1 a when two letters picked without replacement from {h: 4, a: 7, d: 8, u: 1}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let x(q) = q**3 + 26*q**2 + 65*q + 94. What is the smallest common multiple of x(-22) and 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the lowest common multiple of 1406 and 6?\nAnswer: 4218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let u(o) = -20*o**2 + 13564*o + 64. Let i(h) = -3*h**2 + 2087*h + 10. Let w(p) = 32*i(p) - 5*u(p). Determine l so that w(l) = 0.\nAnswer: 0, 259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-127 - 4*v + 127)*(3 - 3 + 5*v)*(-10 + 2 - 6)*(-2 + 2 - v) to the form h*v**2 + n + u*v + g*v**3 and give g.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let h be (-2)\/(-8) - 7\/(-4). Suppose -4*n + 6 = -2*x - h*n, -n + 1 = -2*x. Factor 20*s - 8*s - 2*s**3 + 6*s**3 + 8*s**x - 8*s.\nAnswer: 4*s*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((d*(d*d**(-11)\/d*d)\/d*d)\/(d**(-1\/23)*d))\/((d\/(d**17*d)*d)\/(d*d**(-4)*d)) assuming d is positive.\nAnswer: d**(93\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let k be -2*(1 + -16)*(-3)\/(-18). Sort -3, k, 206 in ascending order.\nAnswer: -3, k, 206","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -166 + 389. Let n = v - 36. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 i and 3 m when four letters picked without replacement from {i: 4, j: 1, m: 3}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Solve -12*q + 134 = 218 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let b(k) = -4*k + 4. Let w = 118 + -120. Let m be w\/((-6)\/13) + (-2)\/6. Calculate b(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the biggest value? (a) 7483 (b) 2\/7 (c) -3 (d) 40 (e) -4 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let x be 2\/2*(-11 + 4 + 10). Solve -2*l + 1 = 3*p + 17, 4*l = -x*p - 26 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 9:54 PM and 11:25 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Is 535349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Sort 47, 0.02, 3 in ascending order.\nAnswer: 0.02, 3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 214, -2002, -5376, -9908, -15598, -22446, -30452?\nAnswer: -39616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 0 - (-11 + (-88 + 82 - (25 + -1)))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -6 + 5. Let j be ((-14)\/(-49))\/(y\/(-7)). Factor -4\/3*a - 1\/3*a**j - 4\/3.\nAnswer: -(a + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c = -163 + 399. Is c a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(x) be the third derivative of x**4\/24 - 11*x**3\/6 - x**2. Let j(r) = -r**2 - 71*r + 8. Let h be j(-71). Calculate u(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 8, what is -4 + 2633?\nAnswer: 2627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 8:42 PM and 4:43 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -145 - -149. Is ((-12)\/48)\/((-1)\/r) - -488 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 1311056 is divided by 131105?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*h - 16*h - 567 = -3*c, -12212*h + 12214*h + 30 = -5*c - 37 for h.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the lowest common multiple of ((-428)\/280 + 30\/300)*7\/(-1) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*u - g + 2*g + 700 = 0, u - 3*g - 345 = 0. Let v = 5263\/15 - u. What is the closest to 0 in 0.2, -1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {c: 17, x: 3}. What is prob of sequence xx?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Solve -11 = m, 19 - 60 + 7 = 2*u + 4*m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 1659322 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: 2+26\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*j = 2*c - 5*j + 13, -3*j = -4*c - 29. Let g be (-3)\/6*4 + 22. Let w = g - 25. Is c < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert 4719.77cm to kilometers.\nAnswer: 0.0471977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of b**4 + 24*b**2 - 24*b - 5 wrt b.\nAnswer: 12*b**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is 87349536 divided by -14558256?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 808 is divided by 552?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -1 + 1 + g + (-48 + 114 - 17)*(g + 5 + 9 - 1) to j*g + y and give y.\nAnswer: 637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-7 + 18 - 88)*(-q + q + q).\nAnswer: -77*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is 8109.14 + -30.9?\nAnswer: 8078.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose w = -w + 2. Let s be (1 - 2) + w*5. Calculate the highest common factor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 32697207 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let v be (0\/(-1))\/((-14)\/7). Suppose v = 5*q + 2*c - 0*c - 204, 2*q - 87 = c. Suppose 6*k - 3*k = q. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second biggest value? (a) -0.02 (b) 27\/4 (c) 3\/5 (d) -758\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let p be (-12077)\/(-13) - 2*(-5)\/5. Calculate the highest common factor of p and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Total of 0.11 and 2481212857751.\nAnswer: 2481212857751.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let h(f) = f**2 - 4*f - 4. Let a be h(-6). Suppose -x + 5*s = -46, a = 2*x + s - 47. Is 5 a factor of (-14)\/21*x\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -2.01 + 0.01. Let y = 129.5 - 123.5. What is the nearest to y in 0.1, q, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (27\/(-3))\/(-3)*23575\/(-1725)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} -{"text":"Question: Let y be 1*7\/(-105)*5. Which is the nearest to y? (a) 2\/15 (b) -4 (c) 4 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many kilograms are there in 0.1643562 tonnes?\nAnswer: 164.3562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: In base 13, what is -6 - 1a?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -x**3 + 10*x**3 - 281*x**2 + 312*x**2.\nAnswer: 9*x**3 + 31*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Is 24 a factor of 61758823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -191\/210 and 79\/18?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 307 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is 35 minutes after 8:09 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let z(w) = w**2 - w - 3. Let i(j) = -2. Let c(v) = 3*i(v) - 2*z(v). Let f be (8\/(-32))\/((-31)\/124). Let l(g) = g**2 - g. Give f*l(n) + c(n).\nAnswer: -n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let j be ((-4)\/(-6))\/(6\/45). Suppose -28 = -2*d + t, 2*d + 5*t = j - 1. Let l = -4 + 27. Calculate the remainder when l is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 113464110683 + -113464110783.200001146. Let z = 100.2 + h. What is z rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p(y) = -y**2 + 35*y + 391. Determine p(44).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Sum 0.0612031 and 1.\nAnswer: 1.0612031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let f(q) = -q**2 + 8*q - 3. Let v be f(5). Let t(j) be the first derivative of 2*j**3 - 14*j + 0*j**3 - 6 + v*j. Differentiate t(b) with respect to b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: -9*(69696\/(-1080) - -67)*10\/6\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.131 to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Solve -7*z = -7 - 35 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 58951 + -40966. What is o rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 12*x - 6*x + 3 = 2*x + 5*x, 2*k - 10*x + 44 = -36 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 20400 and 94200.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 13116 and 9210711.\nAnswer: 3279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 211 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Expand (110*u**4 + 1135*u**3 - 1135*u**3 + u)*(u - u + 3*u).\nAnswer: 330*u**5 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 2335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Is 29 a factor of 5423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let t(n) be the third derivative of 3*n**7\/70 + n**5\/15 + 3*n**2. What is the third derivative of t(o) wrt o?\nAnswer: 216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -2*n - 7*m - 228 + 322, -23 = n - 4*m + 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 116831930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -2 - -4. Let x be (-1)\/2*65\/(-130)*-4. Sort -4, x, n, -3 in increasing order.\nAnswer: -4, -3, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (5 + 1*sqrt(125))*-3.\nAnswer: -15*sqrt(5) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let a be -2*14*3\/(-12). Suppose -3*z - 12 = -5*f, -2*z - a - 1 = 3*f. Let s(k) = -36*k + 5. Is s(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 3\/734 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (z*z\/z**19*z*z\/z**(2\/5))**(16\/3) assuming z is positive.\nAnswer: z**(-1232\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: ((-2)\/10)\/(16\/40)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -1754 - -1906.8. Let y = u - 16.8. Let t = y + -136.000097. Round t to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 47 a factor of 163*(7 + -2) + -5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express -54*t - 3*t**2 + 54*t + 30*t**3 + 10*t**3 in the form p*t**2 + g*t**3 + c + y*t and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Add together -0.06 and 458.6.\nAnswer: 458.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Solve 39 = -m + 41 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is 4 take away -7536.1?\nAnswer: 7540.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let h be 6\/27 + (-762)\/27. Let d be (-6)\/(-21) - 48\/h. Suppose 2*n + d*n = 0. Let o(x) = -x - 6. Determine o(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l be (-4 + 6)*21\/6. Suppose l*d = -35 - 42. Which is smaller: d or 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z(h) be the first derivative of -h**7\/35 - h**3\/6 + 3*h**2\/2 + 2. Let n(j) be the second derivative of z(j). What is the derivative of n(f) wrt f?\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(v) be the first derivative of -7*v**4\/2 + 6*v**2 - 2. Find the second derivative of r(o) wrt o.\nAnswer: -84*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 3\/5 in 2, 0.4, -2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Put -15, 3, 4, -2 in decreasing order.\nAnswer: 4, 3, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let q be (-54)\/6 - (-1 + -1 + 0). Let w be (-3)\/q - (-216)\/84. Solve 0 = -7*r + w*r + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(t) = 15*t - 2. Let w(h) = 1139*h - 153. Determine -153*o(v) + 2*w(v).\nAnswer: -17*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let b(u) = u**2 + u. Let g(t) = -5*t**2 - 3. Let m(v) = 6*b(v) + g(v). List the prime factors of m(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 15 + 1 = -4*k. Let a(f) = -9*f**2 - 8. Let p(w) = -26*w**2 - 24. Let g(s) = k*p(s) + 11*a(s). What is the first derivative of g(z) wrt z?\nAnswer: 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor -5*s**3 + 4450*s**2 + 67955*s - 72400.\nAnswer: -5*(s - 905)*(s - 1)*(s + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let j be 3 + -255997*(-1)\/1. Let k = 19 + -14. Suppose -q = -k*q + j. Round q to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 41253.28 micrometers in centimeters?\nAnswer: 4.125328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 5*x**4 - 4*x**4 - x**3 - 3*x**2 + x**4 + 2*x**2 to the form j + d*x + y*x**2 + b*x**3 + m*x**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let m = -447218 - -3773176981\/8437. Let i = 478315\/1298 + -737\/2. Let x = m - i. What is the nearest to -1\/5 in 4, -1\/2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*n + r - 6020 + 28790 = 0, 3*n = -4*r + 17087. List the prime factors of n.\nAnswer: 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*f - 5 = 5*b, 2*b + 3 + 3 = f. Let v = b - 5. Let c be 2 + (9\/(-3) - v). Solve 5*r = 4*t - 31, -c = -r - t - 2*t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*p = -d - 3, 5*d - 2*p - 23 = -p. Let j be 9 - (-1)\/((-4)\/8). Solve 2*i = j*i - d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -92 - -137. Let p = 49 - k. Suppose 4*w = 5*y + 44, -p*y + 11 = 4*w - 3*w. Calculate the remainder when 32 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5 = -l + 3*d, -d = -l - 5*d + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is two sevenths of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third smallest value? (a) 4 (b) 1\/8 (c) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -26? (a) -1 (b) -2\/13 (c) -0.2 (d) 53.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let u(n) be the third derivative of n**5\/12 + 32*n**3\/3 + 44*n**2 + 3*n. Let i(r) = -3*r. What is i(u(w))?\nAnswer: -15*w**2 - 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let b(i) = -9*i + 6. Let z be b(-6). Let y(k) = k + 7. What is the lowest common multiple of 8\/6*z\/8 and y(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -22*r - 2001 = -9701. Let l = 360 - r. Let b = -262 + 372. What is the highest common factor of l and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -88\/15 and -41\/5727273.\nAnswer: 28636365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Work out -0.48374 + 614182689.\nAnswer: 614182688.51626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -40669386*v**5 - 2370349*v**2 - 6?\nAnswer: -2440163160*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 114738019 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Sort -2, 1, 469 in increasing order.\nAnswer: -2, 1, 469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -207*l**2 + l**3 + 102*l**2 + 105*l**2.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Simplify sqrt(55)\/(4*1*sqrt(11)) + sqrt(55)\/(sqrt(99)*1 + sqrt(99)).\nAnswer: 5*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 1.728455 - 1.7673. Let l = k - -0.039. Round l to five dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h(z) = -2*z**2 + 9*z. Let f(a) = -a**3 - 6*a**2 - 7*a - 4. Let r be f(-5). Calculate h(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g(q) = -13*q + 43. Let b be g(3). Suppose 2*r + 3*f + 43 = 3*r, 5*f + 25 = 0. Suppose -r = b*m - 160. Is m a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 59268.8748 + -59029.8748294. Let k = o + -239. Round k to six dps.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: 2527 or -1\/47?\nAnswer: 2527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -1 + (sqrt(57)\/(sqrt(3)*1) + 1 - (sqrt(19)*-2 + 1)*1).\nAnswer: -1 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let t(v) be the second derivative of 4*v**3\/3 - 3*v. Is 16 a factor of t(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(z) be the second derivative of 0 - 1\/42*z**4 + 4*z**2 - 1\/210*z**5 + 1\/420*z**6 + 0*z**3 + 10*z. Let b(h) be the first derivative of a(h). Factor b(p).\nAnswer: 2*p*(p - 2)*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: -17 divided by -233\nAnswer: 17\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Do 189 and 163 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -7 + (5 - 6) + 10 + 64\/(-28).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence vven when four letters picked without replacement from {v: 5, e: 4, b: 5, n: 6}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from faaewetv. Give prob of sequence ta.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -41*j - 48*j**4 + 70*j**4 + 11*j wrt j?\nAnswer: 264*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 3546190 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 104*d - 45 = 101*d. Let j(u) = 6*u - 55. Let t be j(d). Suppose -5*w = t - 150. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 94 - 15 = w. Let n = w + -2. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y be ((-8)\/(-6))\/1 + (-11)\/33. Suppose 5*u = -3*u + 6*u. What is the third biggest value in 0.2, u, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 6236051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-j + 4*j + 0*j + (1 - 2*j - 1)*(-1 + 3 - 3) - j + j - j)*(j - j + j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let m(a) = -a**2 - 7*a. Let r(w) = -23*w**2 + 6*w**2 + 8*w**2 + 7*w**2. Calculate m(r(t)).\nAnswer: -4*t**4 + 14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 7 + -6. Calculate the least common multiple of 10 and (-7 - -23)*l\/2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of (553\/2)\/((-42)\/(-28))*6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(a) = -4626*a**2 - 4618*a**2 - 4569*a**2 + 13812*a**2. Let w(i) = 3 - 4 - 53 - i. Give l(w(f)).\nAnswer: -f**2 - 108*f - 2916","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let w(o) = -5*o**2 - o + 26. Let c be w(-2). Let d(q) = -q**2 + 15*q - 58. Give d(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 2417?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 891 - 888. Suppose -6*r = -2*r - 3*h + 37, -2*h = -r - d. Let j = 2 - 5. Is j smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 4094, 4095, 4098, 4103, 4110, 4119, 4130?\nAnswer: 4143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Solve w + 2 = -2*n + 4*n + 1, 2*n - 592*w - 5 = -595*w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 8*w = 4*w - 12. Suppose -4*y + v - 20 = 0, y - 3*v + 5 = -2*v. Let i be ((-22)\/33)\/((-2)\/15). Put i, w, y in ascending order.\nAnswer: y, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 2698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 1120 = -5*d + t, d = t - 108 - 120. Let a = d + 275. What is the greatest common divisor of a and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten millions digit of 65902928?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 82553682?\nAnswer: 2, 3, 31, 443837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 50*y = 67495 - 736995. Round y to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z = -6209 + 7640. Calculate the greatest common divisor of z and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 5 + 0 - q**2 + q**2 + q**2.\nAnswer: q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 16 in -2, -4\/3, 2\/23, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: In base 11, what is 6a56 - 4?\nAnswer: 6a52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -v + 6*v - 5*g - 1429705 = 0, 4*v - 1143728 = -5*g. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor 2*a**4\/5 + 3678*a**3\/5 + 1663038*a**2\/5 - 5155974*a.\nAnswer: 2*a*(a - 15)*(a + 927)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3*l - 79 + 71 = -a, 3*a - 13 = -2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 53 - 49. Suppose y*o + v = 16, -o - v = -4*o + 5. Suppose -4*b - 2*g + 102 = 0, -3*b + 2*g + 141 - 54 = 0. What is the least common multiple of o and b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 873 plus 0.134398994?\nAnswer: 873.134398994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of -78313 and 232?\nAnswer: -18168616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: 1794493 * 0.3\nAnswer: 538347.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Convert 949702.5 millennia to months.\nAnswer: 11396430000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 36982, 37209, 37426, 37633, 37830?\nAnswer: 38017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let v be (15\/2)\/(6\/(-8)). Let a be -2*2*5\/v. Factor 1\/3*y**a - 2\/3*y + 0.\nAnswer: y*(y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -1534*f + 1538*f = -12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let v(y) = 13*y**2 + 2*y + 12. Let r be v(6). Suppose 11*t = 15*t + r. Let b = -50 - t. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (2*w**5 - w**2 + w**2)*(1 - 3 + 0) - 2302*w**5 - 23195*w**4 + 23195*w**4 + (-3 + 1 + 4)*(0*w**2 - 2*w**5 + 0*w**2).\nAnswer: -2310*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Is 0.9 greater than -542938.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let i be (3*3)\/(3\/2). Suppose 18*f = 29*f. Suppose 0*k + 3*k + i*k = f. Solve 5*c + 4*w - 10 = -k*c, 4*c + 2*w - 8 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 2 + sqrt(57)\/sqrt(3) - (0 + -1 + sqrt(19)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 339 + -339.2. Suppose 3*v - y = 5*v - 2, 0 = -5*v - 5*y + 15. Sort 37, v, x, -3\/2 in increasing order.\nAnswer: -3\/2, v, x, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 934 - 925. Calculate the highest common divisor of 21 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 4325332856 to the nearest integer?\nAnswer: 1629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third biggest value? (a) 4 (b) 1\/1961 (c) -2\/11 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Does 15 divide 122912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is 154 minutes after 10:54 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 169\/750 and 79\/2600.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4*q + v - 3*v = 14, -2*q + 3*v = -13 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {z: 1, p: 1, c: 4, n: 1, r: 5}. What is prob of sequence czc?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: 2\/3*(-24)\/(-4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 131\/3 - 44. Suppose 3*o - 8 = d - 3*d, 0 = 2*d + 10. Suppose -4*h + 1 + 3 = -3*u, -3*h = -3*u - o. Which is the nearest to l? (a) u (b) 2\/15 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert -2590948 (base 10) to base 2.\nAnswer: -1001111000100011100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let i(q) = 21*q**3 - 15550*q**2 - 10327*q + 27. Let f(o) = -16*o**3 + 11664*o**2 + 7745*o - 21. Let m(u) = 9*f(u) + 7*i(u). Determine z, given that m(z) = 0.\nAnswer: -2\/3, 0, 1292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -1.4 - -2.6. Let b = 1378331.9000002 - 1378330.7. Let q = g - b. Round q to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(s) be the third derivative of 621*s**8\/112 - s**5\/5 - 2*s**4 + 64*s**2. What is the third derivative of i(v) wrt v?\nAnswer: 111780*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 99126073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 2.5 - 1984272.\nAnswer: -1984269.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let n(t) = t - 4. Let i(x) = 3. Determine -3*i(a) - 2*n(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 46, 185, 416, 739, 1154?\nAnswer: 1661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 572007343 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -0.77? (a) 0.2 (b) 0.1 (c) -15\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Is 19571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -77 - -155. Let u = 80 - x. Let k = 0.092 + -3.092. What is the closest to u in k, -13, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 266 is divided by 57.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Convert 4 (base 10) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -124 + 18 - 181*r - 173*r + 67 + 39.\nAnswer: -354*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Is 610063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the hth term of -4970, -4965, -4960?\n\"Answer: 5*h - 4975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the ninth root of 69805 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Work out 0.467320267 + -4.\nAnswer: -3.532679733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -8*u - 250 = 286. Let d = 348 + u. What is the first derivative of d + 6*k**4 - 257 + 13*k**4 - 3*k**4 wrt k?\nAnswer: 64*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put -3, 0, 869 in descending order.\nAnswer: 869, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 29*b + 22*b - 696 = -36*b. Solve -146*a - b = -145*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.321818 to three decimal places.\nAnswer: 0.322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (286\/28 - (30 + -20))*2\/(-9).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: 1\/293 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose c = -0*c - 2, 7 = v - 5*c. Which is smaller: 2\/11 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify v*(v*v**5*v)\/v*v*v**(3\/5) assuming v is positive.\nAnswer: v**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the nth term of 15668, 31436, 47214, 63008, 78824, 94668, 110546, 126464?\n\"Answer: n**3 - n**2 + 15764*n - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let g be 20\/(-15)*3\/(-2). Let p(u) = -u**3 + 7*u**g - 3 - u**2 + 0*u**2 + 9*u. What is the units digit of p(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g(z) be the first derivative of 33 + 0*z + 1\/2*z**3 - 1\/12*z**4 + 33\/2*z**2. Let t(q) be the second derivative of g(q). Calculate t(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i be 47\/(-9) + (-4)\/(-18). Let f(b) = 4*b - 2*b**2 - 2 + 0 + 3*b**2. What is the units digit of f(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 882 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: 1 or -175263684?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*d - 4 + 12 = 0. Let o be 1 + d\/2*1. Solve o*n - 21 = -9 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 14292030 to the power of 1\/3, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let t(v) = -v**3 - 31*v**2 - 13*v + 71. Calculate t(-31).\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -1*-60092.\nAnswer: 60092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 6:19 PM and 11:47 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let n(o) = 239*o**2 - 41*o - 24. What is the ten thousands digit of n(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the vth term of 1, -1, -1, 1?\n\"Answer: v**2 - 5*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -2*r + 1122 - 3927 + 4*r.\nAnswer: 2*r - 2805","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: (-2 + 33\/17)*-2\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the zth term of 65, 46, 17, -22?\n\"Answer: -5*z**2 - 4*z + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 93244682.3583793 + -93244675. Let h = v + -7.358. What is h rounded to five decimal places?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 368 + -7730\/21. Let g = 1811 + -1797. Sort g, x, 2\/5, -3 in decreasing order.\nAnswer: g, 2\/5, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find d such that -2*d**5\/5 - 78*d**4\/5 + 526*d**3\/5 + 30318*d**2\/5 + 29716*d\/5 = 0.\nAnswer: -34, -23, -1, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -13 + 9 + 4 - 165*m**2.\nAnswer: -165*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(170) + 4*(sqrt(170) + sqrt(170)*1) + 1*sqrt(170)*2 + sqrt(170))\/(((sqrt(100) + (sqrt(100) - -3*sqrt(100)))*6)\/sqrt(10)).\nAnswer: 2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Solve -5*x + 16 = -4*j, -2*x + 926 = -5*x + j + 937 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Round -1925.032 to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let i(l) = 2*l. Let s(t) = -6*t. Let v(g) = -17*i(g) - 6*s(g). Let x(d) = 14*d**2. What is x(v(b))?\nAnswer: 56*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -0.26 - 0.47. Let h = x + -0.17. Let f = h + 0.9. Which is the closest to -2? (a) -2\/21 (b) 0.2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*h = -4 - 6, -5*h = 5*x + 2985. Let r be (0 + -2)\/(8\/2194). Let b = x - r. What is the common denominator of -81\/10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 53378.59m in millimeters?\nAnswer: 53378590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {y: 7, p: 3, x: 1, b: 7, m: 1}. What is prob of picking 1 x, 1 y, and 2 p?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -6*h - 12 = -2*h. Let b be 2\/(-2) + 2 + -6. Put b, h, 2 in descending order.\nAnswer: 2, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 14116321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 12:03 PM and 1:14 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Express 3298*q**3 - 57*q**2 - 66*q**2 - 3301*q**3 + 92 - 92 in the form r*q**2 + t + y*q + w*q**3 and give r.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*f - 3*d - 2*d - 100 = 0, 4*f + 2*d - 80 = 0. Suppose 3*b - 24 = 4*u, -40 = 4*u + b - 0*b. Let g = u + f. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -46 divided by -85?\nAnswer: 46\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 8*v = 4*v + 4. Let x be 9\/12 + (-35)\/20. Which is bigger: x or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -1 - -2. Let x be -2 - -5 - (1 + (-12)\/6). Calculate the remainder when (105\/25 - 3) + x\/5 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(22) + sqrt(110)\/sqrt(20) + sqrt(22) + sqrt(22) + (sqrt(66) - sqrt(66)*-2)\/sqrt(3))\/(-4*(sqrt(12) - sqrt(36)\/sqrt(3)*-2)\/sqrt(6)).\nAnswer: -13*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Work out -258553 + 1353.79.\nAnswer: -257199.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (2*-3*sqrt(56))\/(sqrt(392)*1 + sqrt(392)).\nAnswer: -3*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Express ((2 - 1 - 2)*(0 - 1 + 3) + 4 - 1 - 2 + 2 + 2 - 2)*(2*y - 2 + 2)*(y + 3*y - y) + (4*y**2 - 2*y**2 - y**2)*(13 - 11 + 7) as t + z*y + d*y**2 and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -4*(-332)\/2464 - (-444)\/(-2442).\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(d) = -6*d + 2*d - 6 - 1. Let i(x) = 20*x + 35. Let g(l) = -3*l**2 - 46*l - 54. Let n be g(-14). Let y(o) = n*i(o) + 11*j(o). Calculate y(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 2*a - 3*w - 23, 4*a + 319*w - 321*w = 26 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let 54863649*h**5\/4 + 274377501*h**4\/4 + 55011797*h**3\/2 - 109697650*h**2 - 118504*h - 32 = 0. What is h?\nAnswer: -4, -2, -4\/7407, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is -37 divided by -1098?\nAnswer: 37\/1098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -3 + a + 3 + 67 - a + 0*a - 81 - 2*a + 4*a + 0*a + (0*a + a - 3*a)*(4 - 4 + 2) to the form c + y*a and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let b = -19.014 + 19. Let h = -42 - -42.128. Let p = h - b. What is p rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 11957843965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let a(v) be the second derivative of -v**6\/10 - v**5\/5 - 41*v**4\/3 + 200*v. Find the third derivative of a(k) wrt k.\nAnswer: -72*k - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (((-25)\/4)\/(-5))\/((-15)\/(-6)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is -4 + -2 + ((16 - 44) + 11 - -4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Sort -6, -5, -1, 19.\nAnswer: -6, -5, -1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -54*i + 14*i**2 - 2 - 51*i - 34*i**2 + 78*i.\nAnswer: -20*i**2 - 27*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is 7710 less than -59979.124557?\nAnswer: -67689.124557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Express -2*g - g + 122 - 143 in the form q + m*g and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Is 449942166 a multiple of 2502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -7*g = -12*g - 60. Let a be (-18)\/(-5)*(280\/g)\/(-7). What is the tens digit of (-633)\/(-4) + a\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 12, what is 103bb2 + -5b?\nAnswer: 103b53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -115\/120348514 and -69\/10?\nAnswer: 601742570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Is ((-6)\/(-4))\/(33\/22)*947 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 50*s - 56*s = -37*s - 82 - 817 for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 40 + -48. Let q(l) = l + l - 8*l - 3 - 6*l + 14*l. Calculate q(d).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(a) = -a**3 + 305*a**2 - 471*a + 50743. Give c(304).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of o**4 - 33009254*o**3 - 30438421*o.\nAnswer: 12*o**2 - 198055524*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 7797 and 276?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Convert 680.5245 millimeters to nanometers.\nAnswer: 680524500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of 31\/8135490 and -48\/4895?\nAnswer: 8135490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 2\/13 in 1\/9, 6, 1\/11, 0, 2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -33*u + 2003 - 2003.\nAnswer: -33*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let x(p) = p**3 + 17*p**2 - 151*p - 325. Determine x(-23).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from nnynynnnlnln. What is prob of sequence ynny?\nAnswer: 14\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let s(t) = -t**2 - 41*t - 105. Calculate s(-38).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Solve -114*d + 1 = 4*a + 17, -1 + 2 = 3*d - 2*a - 7 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is 324 minutes after 2:44 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -6*((sqrt(1872) - (0 + sqrt(1872))**2)*-4 + -1*sqrt(1872) + 5 + ((-2 + sqrt(1872))*3 + -2)**2).\nAnswer: -146430 + 3816*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let m = -207\/5 - -42. What is the nearest to -0.1 in 2\/7, -1, m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: 1203 or -87?\nAnswer: 1203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Sort -9, 2\/15, 34, 0.1, -4.\nAnswer: -9, -4, 0.1, 2\/15, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Is 153601067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -2*q - l - 0*l + 16, 5*q + 5*l - 50 = 0. What is the remainder when 15 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 119 - 56. Let n = -148 - -210. Let f = k - n. Solve 0 = 2*i - 4*q, -2*i + q = -i + f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 41, 62, 97, 146, 209?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Round -52.1 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: ((2\/(-10))\/(-1))\/(-1)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Work out -250.9 - 25874.\nAnswer: -26124.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.5 + -2.11617?\nAnswer: -1.61617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 4 + 1. Suppose 0*f - 3 = -3*f. Suppose 5*c - 6 = -f. Solve w = g*v - 10 + 24, -2*v - c = -5*w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y be 185\/(-74)*(-8)\/(-30). What is the closest to 1 in -4, y, -0.4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 1188 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -z - 5*r + 61, 0*z - 61 = -z - 4*r. Calculate the remainder when z is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert 14a7161 (base 11) to base 13.\nAnswer: 6c0707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -48*x**3 - 22*x**2 - 15*x**3 - 24*x**5 - 132*x**4 + 5 + 61*x**3 wrt x?\nAnswer: -1440*x**2 - 3168*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q(w) = 987 + 3*w**2 - 388 - 599. Let h(d) = 2 + 0 + 4*d**2 - d**2. Determine h(q(i)).\nAnswer: 27*i**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 4:18 AM and 5:09 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 1:56 PM and 7:40 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (70*(-14)\/105)\/(10\/(-30)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 171.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let h be (-325)\/91 - 4\/(-1). What is the nearest to 0 in -1\/2, h, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(i) = -i**2 + 926*i - 36. Let y(c) = c**2 - 924*c + 48. Let g(v) = -4*n(v) - 3*y(v). Let o(b) = 2*b. Determine g(o(f)).\nAnswer: 4*f**2 - 1864*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 1311485 = 5*d + 4*v, -2*v - 557464 = -5*d + 754051. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 65 - 71. Let z be 2\/((-2)\/y + (-185)\/510). Let r = z + 74. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*u - 409 = -3*d, 54*d - 58*d + 15*u + 437 = 0. Solve -p = -137 + d for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d be (-1 - (1 + 0))\/(3\/(-765)). Suppose -1587 = -9*y + d. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(i) = -i + 21 - 9 + 2. Let x be u(-6). Is 21 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 7 a factor of 5666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let l(y) = -11*y - 40. Let t be l(-6). Suppose -3*v - 2 = -t. Suppose -1140 - 548 = -v*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -22\/627703 and 17\/627703.\nAnswer: 627703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is 892 divided by -46?\nAnswer: -446\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: In base 13, what is 0 - 1435b1?\nAnswer: -1435b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Solve 14453 = -574*p + 5336 - 14991 for p.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is 3 + (-2 - (-8 + -5 + 5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.0004944106 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the ninth root of 612 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 18468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Does 34 divide 40902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -4*u + 3*h - 40, u + 2 = -u - 3*h for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the third smallest value in -2, 2\/9, -9\/9010?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the lowest common multiple of -2 - 0 - (-9 - (-1 + -3)) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 937 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Expand -3 - 2*k + 3 + (-2 + 1 + 2)*(-k - 4*k + 3*k) + k + 2*k - 5*k + 21*k + 22*k + 30*k - 3*k + 2*k - 2*k.\nAnswer: 64*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Is 5737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -86933, -347761, -782507, -1391195, -2173849, -3130493?\nAnswer: -4261151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 686.6977km in micrometers?\nAnswer: 686697700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is 6927464241 rounded to the nearest 100000?\nAnswer: 6927500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (1 + (sqrt(200) + -1 - sqrt(200))*2 + -4 + (((0 + sqrt(200) + sqrt(200))*-1)**2 - (sqrt(200) + 0)*4))*4.\nAnswer: -160*sqrt(2) + 3180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let p(b) = -3*b. Let d(c) = 115*c. Give p(d(n)).\nAnswer: -345*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -8 + -9 + 20 - 62\/20.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: 5 - 510621483\nAnswer: -510621478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 7:02 PM and 4:38 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 1? (a) 0.4 (b) 71 (c) 3\/8 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 1619508715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let f(u) = 5*u. Let k(z) = 21*z. Let o(r) = -r**3 - 12*r**2 + 2*r - 2. Let g be o(-12). Let t be 6 + (3 - 3)\/(0 - -3). Calculate g*f(i) + t*k(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 419875?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: In base 8, what is 615 - -34763?\nAnswer: 35600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Is 62509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -0.5 - -4.5. Let b = -4.1 + a. What is the nearest to b in 0.2, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 30\/(-105)*(-7)\/14?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Is 585800\/13 at least as big as 45063?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 7:55 AM and 6:25 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is 20599306 to the power of 1\/3, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((f*f*(f*f*f**5\/f)\/f)\/f*f)\/f**(-4))\/(f*f**(2\/7))**(10\/3)*((f*f\/f**1*f)\/f)**(-33)\/(f**5*f**(-1\/3)) assuming f is positive.\nAnswer: f**(-650\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let g(r) be the third derivative of r**4\/24 + r**3\/3 - r**2. Let n = -13165 + 13155. Determine g(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third biggest value? (a) 85 (b) 4 (c) -14 (d) 429\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the hth term of 20, -10, -90, -244, -496?\n\"Answer: -4*h**3 - h**2 + h + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the kth term of 8008, 8007, 8006, 8005?\n\"Answer: -k + 8009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the ninth root of 1201489 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4*y + 8*l - 12*l + 32 = 0, -80 = -6*l - 10*l for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let w(h) be the third derivative of -h**8\/2352 - h**7\/1470 + h**6\/840 + h**5\/420 + 8*h**2. Suppose w(x) = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 1 + (sqrt(72) + 1)*-6.\nAnswer: -36*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from yjjbyjjzz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 41753\/99 - 4638\/11. Find q such that -x*q - 1\/9*q**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -s - 0*s + y + 49, -5*s - y + 257 = 0. Calculate the common denominator of 13\/30 and (-34)\/s + 266\/(-60).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -31\/35 and 330\/(-84) + (-6)\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.0001115801064 to six decimal places.\nAnswer: -0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Factor -3*g**2\/8 + 92221503*g\/4 + 553329045\/8.\nAnswer: -3*(g - 61481005)*(g + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let m = -4901\/20 - -585399\/2380. Let y = -1\/17 + m. Factor -2\/7*q - 6\/7*q**3 + 0 + 2\/7*q**4 + y*q**2.\nAnswer: 2*q*(q - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5 = 57*h - 62*h. Is h*(-8958)\/18 - (-4)\/(-6) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 31 divide 6510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 187*l - 482221 = 1004443 + 821664. List the prime factors of l.\nAnswer: 2, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 10? (a) -1\/3 (b) 0.2 (c) -2 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 141505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*v - v = 25, -5*h + 2*v = -30. Suppose -3*d + 5*b + 26 = -d, -d + 3*b = -15. Suppose d*u = h*u - 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 -10*l**4 + 3*l**4 + 3*l**4 + (-l**4 + 0 + 0)*(-4 + 25 + 5)*(0 + 1 + 1).\nAnswer: -56*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 13*n - 7168 + 1357 = 0. Let p = n + -472. Does -103\/4 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 8182088*o + 171 - 84 - 87 - 8182110*o.\nAnswer: -22*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let n(j) = -4*j + 59. Let o be n(19). Let t(r) = -r**2 - 18*r - 9. Let i be t(o). Solve 2*l + 14 = 2*x, -i*l = -3*l - 2*x + 29 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(t) = 8*t - 6. Let w be f(2). Let u(a) = a**3 - 9*a**2 - 13*a + 28. What is u(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 6987*h**2*t**4 + 55*h**2*t + 3*h**2 + 2*h*t**3 + h*t**2 + 4*h wrt t?\nAnswer: 167688*h**2*t + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the ith term of -159, -262, -365?\n\"Answer: -103*i - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let i(k) = k**2 + 8. Let z be (18 - 22) + 95 + -1*2. Suppose 18*q + z = -19. Let m(l) = -l**2 - 9. What is q*m(w) - 7*i(w)?\nAnswer: -w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let q be -4*(-9)\/(-8)*-2. Let x = -12 + q. Let o(z) = 2*z**2 + 3*z - 1. What is the remainder when 21 is divided by o(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of 18648 and 6216.\nAnswer: 18648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 4*f - 4*l, -3267*l - 20 = 4*f - 3266*l for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let s = 17153 + -5858. Is 70 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -4*a**2 + 27*a**2 - 52*a - 14*a**2 - 12*a**2 wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 5 minus -0.454078075?\nAnswer: 5.454078075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Subtract 436.0171966535 from -257.\nAnswer: -693.0171966535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 4994175 and 8323625.\nAnswer: 24970875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Factor 5*i**4 + 3259870*i**3 - 9779640*i**2 + 9779650*i - 3259885.\nAnswer: 5*(i - 1)**3*(i + 651977)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -20*c + 35*c + 60 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 18617\/21 + -5529\/7. Let q = o + -97. Put q, -1, 2\/5, -3 in ascending order.\nAnswer: -3, -1, q, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-93)\/(-15) - (-4)\/150*30 - 1*5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -f - 1608 = -2*n, 16*f + 4832 = 13*f + 4*n. Let a be (-2)\/((-1054)\/1058 + 1). Let g = a - f. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert 470 (base 10) to base 4.\nAnswer: 13112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let o(r) = 4*r**2 + 13*r + 5. What is the remainder when o(-7) is divided by 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m be (1*-41)\/(19 + -20). Let j be (m\/4 - -4)\/(3\/36). Calculate the highest common divisor of 19 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the kth term of -137, 43, 813, 2461, 5275, 9543, 15553, 23593?\n\"Answer: 48*k**3 + 7*k**2 - 177*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Is 29432921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Is 1\/4 at least as big as 188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let p(w) = -10*w + 3. Let t = 5 - 10. Is p(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor -4*y**2 - 624248*y - 24355347844.\nAnswer: -4*(y + 78031)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 2075296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: In base 14, what is 1a - 13a51?\nAnswer: -13a35","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 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let u(z) = z**2 - 2*z - 2. Let v = 1 + 3. Suppose 3*l = -5*n - 2, 0*l + 2*l + v = -2*n. Give u(l).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -8035*x - 7996*x + 16031*x - 30*x**2.\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred thousands digit of 17099066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let w(t) = t**3 - 12*t**2 - 9*t - 10. Let u be w(13). Let g = u - 75. Let i = g + 94. What are the prime factors of i?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 1011470 is divided by 2510?\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 40*308.9.\nAnswer: 12356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let a(h) = -61 + 27 + 2*h + h + 28. Let y(p) = -6*p**2. Let d(g) = -13*g**2. Let c(t) = 2*d(t) - 5*y(t). Determine a(c(n)).\nAnswer: 12*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 1\/4 in -39\/7, 0.1, 2135\/3, -0.2, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is 1250597 divided by 211?\nAnswer: 5927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let c be (-2 - 0)\/(3 + 1573\/(-517)). Suppose 19*y + 142 - c = 0. What is the closest to 1\/6 in -1, -0.3, 0.5, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from mzanzay. Give prob of picking 1 m and 2 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is 154 minutes before 7:46 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*s + 390 = -3*s. Let f = 116 + s. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort 0, -2, 29 in descending order.\nAnswer: 29, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let p(c) = -999*c - 7003. Give p(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 8 - -4. What is the smallest common multiple of 22 and h?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -18 + 26. Suppose j - 17 = h, -3*h = -5*j + 68 + 25. What is the remainder when j is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(f) = -f**3 - 2*f**2 + 2*f - 12. Let w be c(0). Calculate the remainder when 100 is divided by (w\/(-15))\/((-4)\/(-130)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is seven eighths of a millennium in months?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let c(m) = -4*m**5 + m**4 + m**3. Let v(w) = -2559*w**5 - 11*w**4 - 11*w**3 + w - 171. Let s(a) = -11*c(a) - v(a). What is the second derivative of s(l) wrt l?\nAnswer: 52060*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d(n) = -n**3 + 23*n**2 - 45*n + 25. Let q be d(21). Let o be -8*(-4)\/(-8) - q*1. Suppose -4*z - 2*x = o, 5*z - x = -5*x - 38. Which is bigger: -11 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -7 - 12493*r + 3 + 4.\nAnswer: -12493*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the first derivative of -1282*m**2*o**2 + 738*o**2 wrt m?\nAnswer: -2564*m*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Does 11 divide 470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from ikfxfixixfikkkfkiii. Give prob of sequence xi.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Is 53734073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let b(s) = -s**3 + 4*s**2 + 13*s - 3. Let u be b(6). Suppose -u = -0*z - z. Suppose -36 = z*f - 114. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((d\/((d*d**(-5))\/d*d)*d)\/d*((d**3\/d)\/d)\/d)\/(d*d**(1\/9)*d*d**(8\/3)*d) assuming d is positive.\nAnswer: d**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -9*w + 11*w - 4. Suppose -2*f + 7 = -o + 3*f, 0 = w*o + 4*f. Calculate the smallest common multiple of 2 and (-7 + 10)*5\/((-5)\/o).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-2)\/(-4) + (-14 + 20)\/(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(f) = 3*f. Suppose -14*c + 19*c = 0. Suppose 4*w - d - 13 = c, -d + 0*d - 11 = -3*w. Let v(s) = 33*s**2 + 4*s**2 - 9*s**w. Determine v(m(p)).\nAnswer: 252*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*q = -0*r + 3*r - 12, -3*r - 4*q + 6 = 0. Let c(p) = -8*p + p + 14 - 5*p + 3*p + 4*p. Give c(r).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is -5876 greater than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -5 - -2 - (-3 + -2 - (-14 + 11 + -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} -{"text":"Question: b\"What is the sth term of 294, 587, 880, 1173, 1466, 1759?\n\"Answer: 293*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: -4*4591.816\nAnswer: -18367.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Is 340 a factor of 1954137390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: ((2550\/(-119))\/(-25))\/((-102)\/1785)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 3\/2*18746\/(-3276) and 131\/750.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -297 - -351. Let f be 396\/w*3\/2*1. Calculate the greatest common factor of f and 341.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*n + 3*r - 159 = -0*n, -5*r + 212 = 4*n. What is the remainder when n is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (3 + 3 - 2 + 4*a)*(-23*a**4 + 25*a**4 + 15*a**4).\nAnswer: 68*a**5 + 68*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let o = -21899 + 21903. What is the third biggest value in o, 5028, -2\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*j - 11*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is 26 times -355?\nAnswer: -9230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 10209602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let l be (-15)\/12 + (-6)\/24*19 - 2. Let a(k) = k**2 + 6*k + 6. Determine a(l).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2 = -4*d + 18. Suppose d*v - 11 = 29. Calculate the lowest common multiple of 16 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(w) = 1564*w**2 + 7*w + 354. Let l(g) = 782*g**2 + 4*g + 181. Let u(a) = 4*i(a) - 7*l(a). What is the first derivative of u(t) wrt t?\nAnswer: 1564*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -9*j = -6*j + 12, 3*j + 15 = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is -1 - 418\/(-280) - (-29 - (30784\/(-130))\/8)?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the ninth root of 43688 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*z = -z + 15. Let o(g) = g**3 + 3*g**2 + 2*g + 2. Let m be o(-2). Suppose 0 = -z*s + 4*a + 4 - m, -s = 5*a - 7. Sort s, 4, 3 in descending order.\nAnswer: 4, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor -r**5 + 4*r**3 - 66*r**4 + 2*r**5 + 70*r**4.\nAnswer: r**3*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the ninth root of 494129 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -19273.04 - 0.\nAnswer: -19273.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let n(h) = -2*h**3 + 3*h**2 + 5*h - 11. Let y(p) = -p**3 + p**2 + 3*p - 6. Calculate 3*n(l) - 5*y(l).\nAnswer: -l**3 + 4*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*o + 4*o = 3*h - 18, 12 = -4*o. Suppose -3*b - 23 = -u + b, h*b - 27 = -5*u. Let c = -2 + u. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: ((-1)\/(-85))\/(9195\/76625*10\/6*-1)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 19*g + 190043778 - 95021986 - 95021792.\nAnswer: 19*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is 592 minutes before 12:13 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {y: 6, q: 11, l: 1}. What is prob of picking 4 q?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Is 10256064 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve -59 = -8*p - 19 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is 4230 divided by 2?\nAnswer: 2115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Which is the biggest value? (a) -3\/8 (b) -98\/11 (c) 0.1 (d) 1\/4 (e) -2 (f) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: In base 6, what is 52341522 + 2?\nAnswer: 52341524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the third smallest value in -2\/3, -4\/7, -88, -2\/13, -2, 0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let y(q) be the third derivative of -q**5\/90 - 127*q**4\/9 - 64516*q**3\/9 + 141*q**2. Determine c so that y(c) = 0.\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 193894821, 193894822, 193894823, 193894824, 193894825, 193894826?\nAnswer: 193894827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let t(m) = -2*m + 3. Let g(d) = -d + 4. Determine 3*g(h) - 2*t(h).\nAnswer: h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Is 11 a factor of 97046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the mth term of -513, -516, -529, -558, -609, -688?\n\"Answer: -m**3 + m**2 + m - 514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: How many decades are there in 6\/5 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 x and 1 u when two letters picked without replacement from xuuuxuuuvxvxu.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 3:02 AM and 3:58 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Simplify h**(-3)*h\/h**(2\/29)*(h**1)**(-2\/31) assuming h is positive.\nAnswer: h**(-1918\/899)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of 330 and 16566?\nAnswer: 82830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -114 = -3*m - 2*g, -40 - 34 = -2*m - 2*g. Let f(h) be the first derivative of -1\/15*h**3 - 8\/5*h + m + 9\/10*h**2. Factor f(v).\nAnswer: -(v - 8)*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*p - 17*p = 182. Let u(f) = -6*f - 49. What is the remainder when u(p) is divided by 2\/8 - (-220)\/16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t = -155 - -158. Suppose 2*d - 22 = -4*s + 2, -s - 64 = -3*d. Solve 2*w + t*w + d = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor -2*t**3 - 938*t**2 - 30158*t - 251430.\nAnswer: -2*(t + 17)**2*(t + 435)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is 36173 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -89\/260084 and 101\/2024.\nAnswer: 520168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((y*y**8)\/y*y*y**(-5)\/y*y)\/(y\/y**2)**(-24) assuming y is positive.\nAnswer: y**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*d - 27 = 4*g, 6 - 18 = -2*d + 2*g. Solve 2 = -5*q - d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 2*y + 5*y - 28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Sort 5, 1, 11810, 3, -3 in decreasing order.\nAnswer: 11810, 5, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -20 - -32. Let t = h + 48. Let y = t + -31. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z(y) = 4*y**3 - 15*y**2 + 16*y + 11. Let c be z(12). Let r = -3532 + c. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l be (16\/12)\/((-2)\/(-3)). Put 1, l, -4 in decreasing order.\nAnswer: l, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*v + 303 = 2*u, -7*u + 11*u = -4. What is the remainder when v is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v(a) = 25*a + 1054. Let p be v(-44). Is 0.3 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the cth term of 309, 540, 691, 762?\n\"Answer: -40*c**2 + 351*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let p = 806\/11 + -73. Is 1 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -1084253*s - 594126.\nAnswer: -1084253","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let f be ((-7)\/14)\/(3\/(-36)). Solve f*n + 59 = 77 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 171 minutes before 5:29 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-5 + 0 - 5)*(-31*n + 0*n - 2*n) to the form k*n + p and give k.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is -530753 (base 11) in base 13?\nAnswer: -239c10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: 508*-354\nAnswer: -179832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of 4*m**3 - 23*m**2 + 4*m - 21 wrt m.\nAnswer: 12*m**2 - 46*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 0 + 5*-6*(((4 + sqrt(108) + 0 - 4*sqrt(108)*-2) + 0)**2 + 0).\nAnswer: -262920 - 12960*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 211 + -156. What is the third derivative of 7*v**5 + 10*v - 22*v + 12*v - o*v**2 wrt v?\nAnswer: 420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 44, 47, 52, 59, 68, 79?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 92743 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: 635 (base 15) to base 16\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -7.8 + 0.8. Let j = x - -7. Which is the nearest to j? (a) -1\/2 (b) -2\/3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 83311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 13881?\nAnswer: 3, 7, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -z + 0*z = -20. Let q = 32 - z. Suppose -2*p = -3*g + q, -6*g + 16 = -2*g - 2*p. Calculate the remainder when 5 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 14 a factor of 48302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Express -k - 826*k**2 - 2 - 686*k**2 + 1504*k**2 as b*k + g + z*k**2 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Convert 49 (base 12) to base 3.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 26148 is divided by 4343?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -179 = -5*m - 4*d, 213*m - 4*d - 38 = 211*m. Solve -m*x + 7*x = 96 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -555 - -555. Solve -11 = -j + 2*y - 2, 4*j - 5*y - 24 = u for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q(y) = y**3 - 7*y**2 + 7*y - 5. Let s be q(6). Let c be 72\/15*s*50. Round c to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 4380 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is 41\/(1968\/(-32))*6\/(-8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the rth term of -2289888, -2289884, -2289880?\n\"Answer: 4*r - 2289892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of 2.9277 and 9.6?\nAnswer: 28.10592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let c = 29 - -9. Is 19 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 7, f: 3}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let z be 1 - (-13*1 - 0). Let v(m) = 11*m**3 - 3*m**2 - 4*m + 4. Let d be v(-2). Let h be d\/1*133\/(-76). Calculate the highest common factor of z and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 5:23 PM and 1:02 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let v(z) = z**2 + 4. Suppose -3*g = -4*g. Let r = g + -4. What are the prime factors of v(r)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -14 in 11.9, 3\/2, -0.1, -2, -540?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 7965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is -d - -8c0b?\nAnswer: 8bfe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let c be 95 + 4 + (0 - (-4 - -6)). Let h = -97 + c. Suppose z - 4*r - 109 = h, 4*z + 5*r - 526 = 3*r. List the prime factors of z.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert 7279 (base 10) to base 9.\nAnswer: 10877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Expand (65*q**4 - 71*q**3 + 71*q**3)*(9*q - 2*q + 29*q).\nAnswer: 2340*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let y(l) be the first derivative of 2*l**2 + 0*l + 0*l**4 - 7\/5*l**5 + 10 + 0*l**3. Find the second derivative of y(f) wrt f.\nAnswer: -84*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(r) = -145*r + 277*r + 4 - r**2 - 135*r + 2. What is c(6)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -10 = y - 2. Let o = y + 8. Solve o = 5*x + 25 - 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -1 + 6. Suppose 0 = -k*b + 3*b + 44. Calculate the highest common divisor of 55 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (((-42)\/3)\/7)\/(6\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Factor 8*y**3 - 30364*y**2 + 28804048*y + 14409616.\nAnswer: 4*(y - 1898)**2*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: 19551 or 19582?\nAnswer: 19582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let n(b) be the third derivative of 0 + 0*b**5 + 22\/3*b**4 + 0*b - 95*b**2 + 0*b**3 + 37\/40*b**6. Find the second derivative of n(s) wrt s.\nAnswer: 666*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f be -7*2 - 6\/(-2). Let u be (-190)\/(-440) + 2\/f. Put 0, -1, u in decreasing order.\nAnswer: u, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 94*y - 2*y**2 + 0*y**2 - 98*y + (-2 + 2*y + 2)*(-y - 3 + 3) - 6*y**2 + y**2 + 3*y**2 - 2*y**2 - y**2 + y**2 to x + j*y + r*y**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Expand (121 - 121 - 6*y)*(1 + 0 + 0)*(-3*y - 3*y + 4*y + (-3*y + 4*y - 3*y)*(3 - 1 + 1) + 2*y - 3*y - 5*y + (y - 4*y + y)*(7 - 4 - 1)).\nAnswer: 108*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let w(q) = -10*q + 2. Let u be 12194\/4 + 174\/(-116). Let j(n) = -3047 + u - 2*n + 0*n. Calculate w(j(o)).\nAnswer: 20*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -1093\/3 - -365. Determine d so that 56\/3*d**5 + 0 - 2\/3*d**4 + k*d**2 - 20*d**3 + 4\/3*d = 0.\nAnswer: -1, -1\/4, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 62, 63, 30, -55, -210, -453, -802?\nAnswer: -1275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*b**3 - 100*b**2 + 385*b + 1210 = 0.\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 554032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: How many nanoseconds are there in one tenth of a microsecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -592 + 588.9. Let y = 0.066174763 - 3.166174113. Let i = y - u. What is i rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 17 divide 184146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2690 + 2579 = 37*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Put 2, 3, 1\/81, 1\/2 in descending order.\nAnswer: 3, 2, 1\/2, 1\/81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {s: 2, n: 5, j: 1, u: 3, r: 1}. Give prob of picking 1 s and 1 r.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3930 - 1952 + 2267 = -65*j + 4380 for j.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is 1180 - 22938154?\nAnswer: -22936974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let f(q) = -q - 2. Let h be f(2). Let w(k) = -k**3 - k**2 - k + 5. Let l be w(0). Which is the second smallest value? (a) l (b) 0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -9256 or 15?\nAnswer: -9256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let d(h) = h**3 + 19*h**2 - 43*h. Let j be d(-21). Suppose -2*v - 2*t = -7*v + 30, t + j = 4*v. Let l(o) = -o**3 + 7*o**2 - 5*o + 1. What is l(v)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 43502 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 0.077 + -24.077. Let v = 20.9 + f. Let x = -0.2 - -0.2. Which is the biggest value? (a) v (b) -0.3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} -{"text":"Question: Let t = -0.48 + 5.28. Let j = 0.02 - -0.78. Let s = j - t. What is the second biggest value in -0.2, 0.3, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(d) be the second derivative of 0*d**4 - 6*d + 0*d**5 + 9*d**2 + 1\/6*d**6 + 0*d**3 + 0. Differentiate n(c) with respect to c.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 3294, 26038, 87750, 207906, 405982, 701454?\nAnswer: 1113798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 46073.98 decades in centuries?\nAnswer: 4607.398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {i: 1, y: 5, h: 1, g: 3}. What is prob of sequence hy?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 3 + 5 - (-7 - -28 - 4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let g(i) = 5*i**2 + 25*i - 14. Let d be g(-6). Let k be (-84)\/9*4\/d*-6. Solve -3*f - v = -6, 0 = -2*f - v - 3*v + k for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -7*j - 119 = 4*d - 2*d, -7*d = -3*d + 3*j + 183 for d.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence ttbb when four letters picked without replacement from bibibdiitbtdbddbdd.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest value in -101\/7, 0, -111?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Does 15 divide 5460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the wth term of -261, -343, -479, -669, -913, -1211, -1563?\n\"Answer: -27*w**2 - w - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let a(o) = 2*o - 4. Let n be 9\/2 + 2\/4. Give a(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -90*t = -99*t + 2*u - 20, 2*u - 10 = 4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Is ((-10029)\/(-9) + (-2)\/6)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((f**(-7\/3))**33)**(-45) assuming f is positive.\nAnswer: f**3465","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Express -9*m**4 - 11*m + 9*m + 21*m**3 + 5*m**4 - 3 - 3 - 5*m**4 in the form b*m**2 + n*m + l*m**3 + t*m**4 + r and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 0 + 7 + (8 - 9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let k(h) = 451*h**2 + 2717*h + 17. What is k(-6)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is 3 (base 4) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Expand (1 - 2*f**2 - 1 + (2*f + 0 + 0)*(-4 + 4 - f) + f**2 + 0 + 0)*(22 - 10*f + 31*f - 20*f).\nAnswer: -3*f**3 - 66*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 40302134*n*s**5 - n*s - 5677*n - 151*s + 2 wrt s.\nAnswer: 806042680*n*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-1*sqrt(110)*1)\/(sqrt(10) - sqrt(1210)*1).\nAnswer: sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Is -21\/72827177 equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Divide 0 by -174.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Express 16*q**4 - 27 + 27 - 3*q**4 - q**4 + 3*q**4 + (-3*q**3 + 5*q**3 + 0*q**3)*(-q - q + 3*q) as t*q**2 + x*q**4 + k*q + a + o*q**3 and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 16.956 - -0.044. Let l = 19 - a. Let r = -8 - -4. Are l and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand 5*f**5 - 2*f**5 + f - 5*f**5 + (-2*f**3 + 0*f**3 + 0*f**3)*(3*f**2 - 4*f**2 - f**2) - 41*f**3 + 41*f**3 + f**2 + 6*f**5.\nAnswer: 8*f**5 + f**2 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 61? (a) 2\/11 (b) -1.038 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -164*l - 161*l + 12656 = -333*l. Is -1582 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 2 i and 1 p when three letters picked without replacement from ppipupia.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: In base 13, what is 116857 - 0?\nAnswer: 116857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Is 51776046 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from ennneexlexxxnex. What is prob of sequence xe?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -415714 + 1461324. Suppose 0 = 2*d - x - 1254390. Round d to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-1 - 2*u**2 + 1)*(-u + 0 + 0) - 3*u**3 - 2*u**3 + 4*u**3 + 1 + 3*u**3 + 2 - 5.\nAnswer: 4*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 116 and 78698344?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (86 - 1) + -116 + (19 - -144).\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 31240?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 29*-14.463.\nAnswer: -419.427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of (-253)\/(-33) + 2\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v be (-79)\/(-348) - 6\/(4 + 20). Is 1 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 1, -14, -59, -140, -263?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let j(c) be the first derivative of -13 + 7 - 2*c**2 + 9. Calculate j(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 13 and 923.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -0.094? (a) -4\/7 (b) 281 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let i(a) = a**3 - 5*a**2 - 325*a - 856. What is i(-14)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 6:35 AM and 4:20 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Convert 8973.41 decades to years.\nAnswer: 89734.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -10870, -13165, -16980, -22315, -29170, -37545?\nAnswer: -47440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 50496 is divided by 163?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -609642*x**2 - 13 + 609642*x**2 + 14*x**3.\nAnswer: 14*x**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 8908*u - 8929*u - 84 = 0. Sort 10, 9, u, 7 in descending order.\nAnswer: 10, 9, 7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s = 0.61 + -0.3. Let l = 15.69 + s. Do 1 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 1:24 PM and 9:16 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the distance between 1 and 6868?\nAnswer: 6867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 1 + 3. Let j be (-18)\/m*(-30)\/9. Suppose 5*l - 10 = j. What is the remainder when 9 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express 18*d - 31*d + 12*d + 4*d**3 - 2 in the form x*d**2 + f*d**3 + i*d + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 0.1? (a) 6.9 (b) 0 (c) -4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 19661?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Put 12, 4, -9, 2\/11, -1, -69 in decreasing order.\nAnswer: 12, 4, 2\/11, -1, -9, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let z = -0.02 - -0.02. Let t = 0.5 - 0.1. Let q = 0.0955 + 0.0045. What is the closest to 0 in q, z, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 2*x + 2*x**2 - 1 - 4 + 418*x**3 - 258*x**3 + 6 to z*x**2 + p*x + q + j*x**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is 65809 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -7 - -6.98. Let i = 1.12 + v. Let m = 1.09999955 - i. Round m to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -39*n + 3100 = -139*n. Suppose -z - 244 = z + 2*v, 6 = -3*v. Let o = n - z. What are the prime factors of o?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: (8\/(-110))\/(3\/(((-990)\/12)\/(-11)))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let q(s) be the second derivative of s**3\/6 + 5*s**2\/2 - 2*s. Let h be ((-860)\/(-516))\/(3\/(-9)). What is q(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*a = a - a. Suppose 0 = 8*j - 3*j + 20, a = l + 2*j + 13. Which is bigger: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort 4, 5, -3, -11, 1 in descending order.\nAnswer: 5, 4, 1, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -8 - 7.1. Let n = q + 3.1. Which is greater: 3\/4 or n?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -19*q - 5665 = -24*q + 4*d, 0 = 3*q + 3*d - 3426. What is the remainder when q is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(w) = -w. Let k(f) = -3*f. Let b(i) = k(i) - 4*y(i). Suppose -3*o = -19 + 1. Let v be b(o). Solve h = -h + v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((sqrt(156) - (sqrt(156) + -2*sqrt(156)))*4)\/(sqrt(48)\/sqrt(64)))**2.\nAnswer: 13312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is n in 8*n**3\/11 + 38*n**2\/11 + 24*n\/11 = 0?\nAnswer: -4, -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest value in -4, -3, 0.1, -26, -1234?\nAnswer: -1234","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Expand (0*j - 2*j + j)*(2 + 2 - 5) - 24*j - 5 + 14*j + 7*j.\nAnswer: -2*j - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the ath term of -3, -14, -41, -90, -167, -278, -429, -626?\n\"Answer: -a**3 - 2*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let j(b) = -3*b**3 - 6*b**2 - 51*b - 175. What is j(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let h be 2 + (-5)\/((-130)\/(-48)). Let m = 3 - 3. Which is the third biggest value? (a) -0.05 (b) m (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -9*p = 3*u - 4*p - 5, 0 = 5*u - 5*p - 35 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the ith term of 5, 14, 29, 50, 77?\n\"Answer: 3*i**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let i(l) = -28 - l + 28 + 6*l**2. Let r be i(1). Let v(f) = -2*f**2 + 3*f + 189. Let g be v(-9). Solve n + g - r = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f be (3 - (0 - -2))\/((-6)\/(-192)). Calculate the greatest common divisor of 176 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express -6 - 8*s**4 + 94*s**3 + 8*s**4 + s**4 - 99*s**3 as n*s + g*s**2 + l*s**3 + o + q*s**4 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -9 + 8. Let v(c) = -4*c. Let i be v(a). Let p(r) = 2*r**3 - 2*r + 3. Let q be p(2). Solve 4*l = i, -q = -5*s - 5*l - 0*l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*n + 5 = -v, 4*v - 22 = n - 0*n. What is the third derivative of 4*g**2 + 0*g**5 + g**v - 2*g**5 wrt g?\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g be ((-6)\/18 - -1) + 5754\/9. Calculate the greatest common divisor of g and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -64 - -12 - (-351 - -272)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence vvg when three letters picked without replacement from {g: 4, v: 16}?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Do 28524 and 28513 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Is 210828977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 908 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let i be ((-112)\/4368)\/((-34)\/12). Which is the second biggest value? (a) i (b) -5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express (-3 + 4 + 4)*(0 - 1 - 2)*(0*l**2 - 4*l**2 + 3*l**2) + (2*l - 4 + 4)*(938*l - 1348*l + 983*l) as z + v*l**2 + g*l and give v.\nAnswer: 1161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: 11 - (446 + -446 - (19 - 1)) - 7\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let j(m) = -m**3 - 3*m**2 - m + 4. Give j(-5).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify sqrt(57)\/sqrt(3) + 0 - sqrt(57)\/sqrt(48).\nAnswer: 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let t(g) be the third derivative of -1\/735*g**7 - 1\/140*g**6 - 2*g**2 + 0*g - 1\/84*g**4 + 0*g**3 - 1\/70*g**5 + 0. Determine z, given that t(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d(c) = -7*c - 19. Let l be d(-3). Suppose 4*y + 62 = l*y. Let t = -22 - y. Solve t = 3*x + 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.1 + 1985?\nAnswer: 1984.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence hphp when four letters picked without replacement from ppppphphp.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Is 2715787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-3*q**2 + 6*q**2 - q**2)*(-q + 3*q + 0*q)*(511*q + 28432 - 28432).\nAnswer: 2044*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let k(f) = 3*f**3 - 218*f**2 - 144*f + 238. Is k(79) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 104*-233.\nAnswer: -24232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 258519677 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from lccbahh. What is prob of picking 2 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((h\/h**(-6))\/h**5*(h\/((h*h**(-2\/7))\/h))\/(h**(5\/3)\/h))\/((h*h**(-2\/7))**(-37)\/(h*h*h*(h**(-7)*h)\/h*h*h*h*(h*h**(-2))\/h)) assuming h is positive.\nAnswer: h**(547\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.000450646 rounded to 5 decimal places?\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Is 91 a factor of 285261795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -3 + 5 - -16 - ((24 - 2) + -15).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Solve -118*t - 282*t + 157*t = -1785 - 8421 for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -4\/175 and -65\/56?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 1291*k = 1312*k - 420. Solve 28*z + k + 8 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the lowest common multiple of 22365 and 4605.\nAnswer: 6866055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*y + 31 = -3*j, -3*j = -3*y + 5*y + 7. What is the remainder when 7 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 12106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 608*f**3 + f**2 - 693*f**3 + 150*f - 289*f + 139*f.\nAnswer: -85*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 8:19 PM and 9:15 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the distance between -0.02 and 16786?\nAnswer: 16786.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let w(z) be the second derivative of 0*z**2 - 1\/2*z**4 + 0 - 1\/2*z**3 - 6*z - 3\/20*z**5. Determine y so that w(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: (7 - 1) + (-8 - -7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 49473, 49349, 48985, 48261, 47057, 45253, 42729?\nAnswer: 39365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Sort -459, -4, 6, 2, -1, 4.\nAnswer: -459, -4, -1, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -35 - -288. List the prime factors of r.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: 1 - -15 - (-11 - (-17 + 7 + -3))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 180938046 to the nearest integer?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let f be 8\/32 + 7\/4. What is the tens digit of (3\/f)\/(3\/72)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(u) = -u**2 - u. Let a(r) = 7*r**3 + 56*r**2 + 56*r. Calculate 3*a(b) + 168*i(b).\nAnswer: 21*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Solve -a + 11 = v, 4*a = v + 2*a + 13 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(78) - (-3*3*sqrt(78) + sqrt(78))) + (sqrt(78) - (2*(sqrt(78)*2 + sqrt(78)) - sqrt(78))))\/(5*sqrt(216)*2).\nAnswer: sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -5 + 7. Suppose 2*k - 184 = -y*k. Is k a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*v = 38*v + 20094. Let f = -441 - v. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-3*d + 3*d + d)*(4 + 5 - 3) + (2 - 7 + 1)*(-5*d - 3*d + 5*d).\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is -1011 (base 3) in base 14?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is 524 minutes before 5:07 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Round -155.5133797 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Express (-l - 2 + 2)*(-20 - 10 + 10) in the form n + v*l and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Round -2858.2 to the nearest one hundred.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: 9a5 (base 13) to base 7\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 7\/260 and 103\/68.\nAnswer: 4420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of (-25)\/5*(-1008)\/5 + -1.\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -0.1 - -0.3. Let w = 122 - 122. Which is the closest to -1? (a) -4 (b) w (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d(r) = r**3 + r - 1 - 4*r**2 + 0*r**3 - 2*r**2 + 4*r**2. Let f be d(0). Let z(l) = -l + 2. Let b be z(f). Solve 6*o = b*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 5*r + 81 - 101. Let s(z) be the second derivative of 0 + 1\/42*z**r - 1\/7*z**2 - 1\/42*z**3 + 1\/140*z**5 + 5*z. Let s(d) = 0. Calculate d.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(r) be the second derivative of -2\/3*r**3 + 0*r**2 + 1\/20*r**5 - 69*r + 1\/3*r**4 + 0 - 1\/30*r**6. Solve m(s) = 0 for s.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-f + 0*f - 15*f)*(f**2 + 3*f**2 - 2*f**2) + 9*f**3 + 37*f**2 - 37*f**2 to the form r*f**2 + k*f**3 + q*f + u and give k.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is (9 - 2) + -8 + 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: 27945a9 (base 13) to base 3\nAnswer: 212120001111211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 17*p + 476 = 510. Put 7, p, 0 in decreasing order.\nAnswer: 7, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the biggest value in 0.27, -2\/9, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 1482 - 1486. What is the third biggest value in n, 6, 10?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 402 less than -9\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 284 = 4*v + 220. Suppose -29*f = v - 74. Solve 7 = -3*a - f*h, -2*h = -0*a + 4*a + 10 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: -12*(-11)\/(-1144)*4\/(-6)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is c in -4*c**3 - 13268*c**2 + 670916*c - 8363628 = 0?\nAnswer: -3367, 23, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let z(u) = -u**3 + 10*u**2 - 12*u + 6. Let h be z(8). Suppose 5*f = t + h, f - 4*t + 16 = 2*f. Let k be f\/6 - (0 - -2). What is the smallest value in -2, 2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 230 is divided by 34.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 6421156*o**4 + 25730236*o**3\/3 + 6481999*o**2\/3 + 5080*o + 3 = 0. What is o?\nAnswer: -1, -1\/3, -3\/2534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 2418 and 156?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate ((-2)\/4)\/(6*(-20)\/2400).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -63*h + 2*h**3 + 4*h + 32 + 7*h + 9*h - 54*h to the form w + f*h**3 + d*h + r*h**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth biggest value in -1\/7, 0.2, -4\/7, 0.207, 1, -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = j + 2 - 8. Suppose 4*n = 102 - 30. Let k = n - j. Solve -4*v = -k - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of -44*c**2 - 38*c**2 - 42*c**2 - 45*c**2 + 2079*c**3 + 132 + 168*c**2 wrt c.\nAnswer: 12474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 64 divide 17031690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 28899 is divided by 146?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let u(l) be the second derivative of -l**4\/12 + 17*l**2 - 6*l + 4. Let j(d) be the first derivative of u(d). Let y(o) = 16*o**2. What is j(y(g))?\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of -1159017*j*n**3 - 19456*n**3 + n**2 - 2*n + 51 wrt j.\nAnswer: -1159017*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the gth term of -1, 43, 153, 359, 691?\n\"Answer: 5*g**3 + 3*g**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let h(d) = 3 + 28*d - 23*d - 9. Let l(x) = -x**2. Determine l(h(f)).\nAnswer: -25*f**2 + 60*f - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 113297?\nAnswer: 19, 67, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*d - 84 = d - 3*v, 0 = 3*d - v - 63. Round d to zero decimal places.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor s**4\/2 - 1879669*s**3 + 50750820*s**2 - 456756651*s + 2740537719\/2.\nAnswer: (s - 3759311)*(s - 9)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the vth term of 29477, 58955, 88433, 117911, 147389, 176867?\n\"Answer: 29478*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 49\/261 - -1\/29. Let 4\/9*c**2 - 2\/9*c**4 - 2\/9*c - x + 4\/9*c**3 - 2\/9*c**5 = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -4*y - 3*m + 15, -4 = 3*y - m + 1. Solve 4*b = -y*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -1 = p, -4*v + 0*p + 2*p = -10. Let b = -47 - -62. Let d be -1 - (-7)\/(35\/b). Solve -v = -4*z + d for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(b) = -b**3 + 2*b**2 + b + 1. Let l(y) = 4*y**4 - 45*y**3 + 134*y**2 + 45*y - 147. Let n(q) = l(q) + 3*o(q). Factor n(j).\nAnswer: 4*(j - 6)**2*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there in three tenths of a hour?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 295*l**3 - 4134*l + 4134*l.\nAnswer: 295*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let f be (5 - -1)\/((-3)\/(-2)). Suppose 3*i - 5*q = -45, -20 = -2*i + 3*i - 2*q. Solve i*s = 8*s + f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 51 and 871527.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -6*sqrt(76)\/sqrt(4)*6 + (2 + -2 + sqrt(931) + sqrt(931))**2.\nAnswer: -36*sqrt(19) + 3724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 3? (a) 1\/9 (b) -0.16 (c) -20 (d) -2\/3 (e) -54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let w(x) be the second derivative of 1\/20*x**5 + 0*x**3 - 1\/2*x**2 - 1\/4*x**4 + 4*x + 0. Suppose -j = j - v - 11, 19 = -2*j - 5*v. What is w(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((2\/6)\/1)\/(1\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Put 4, -385, -2 in ascending order.\nAnswer: -385, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-3006)\/5010 - 265\/(-275).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -22474*p**3 - 23105*p**3 + 45583*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let g(f) = 2 + 8*f + 0 - 4*f + f. Let i(y) = 6*y + 3. Determine 5*g(r) - 4*i(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 167 or 36990?\nAnswer: 167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*f - 284 = 5*o, 11*o - 288 = 16*o + f. Put o, -5, -2, 3 in ascending order.\nAnswer: o, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -13064568, -13064566, -13064562, -13064556, -13064548, -13064538, -13064526?\nAnswer: -13064512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Round 10682480.3 to the nearest one thousand.\nAnswer: 10682000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Is 4096 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let o(z) be the third derivative of 0*z + 12*z**2 + 0*z**3 + 0 + 3\/8*z**4. Let s(c) = 2*c. Determine o(s(f)).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let j be (-8)\/((-576)\/(-567)) + 8. Let w(k) be the second derivative of -7\/48*k**4 + 8*k + 0 + 0*k**2 - 1\/120*k**6 - j*k**3 - 1\/16*k**5. What is x in w(x) = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 7837872439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -35\/104 and -111\/14.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is 250 minutes before 6:31 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*k**2 + 24762922*k - 247629020 = 0.\nAnswer: 10, 12381451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let r(m) = 9*m - 39. Let n(h) = -3*h + 13. Let t(f) = 8*n(f) + 3*r(f). Let x be ((-1)\/1)\/(7\/(-40 + 5)). Give t(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand -12*k**5 + 5*k**5 - 3*k**2 + 9*k**5 + 5*k**5 - 2*k**5 - 2*k**5 + (-k**3 + 0*k**3 - k**3)*(-3*k**2 - 4*k**2 + 3*k**2).\nAnswer: 11*k**5 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -0.0899*-13.\nAnswer: 1.1687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is 1683487 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: Let d(g) = -g**2 + 15*g - 9. Let y be d(9). What is the greatest common divisor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(a) be the second derivative of -2*a**7\/105 + a**5\/15 - 6*a**2 - 12*a. Let w(l) be the first derivative of k(l). Suppose w(z) = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(c) = -62*c + 493. Let z(m) = 38*m - 328. Calculate -5*s(j) - 8*z(j).\nAnswer: 6*j + 159","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -j - 2*h - 2, -3*j = 2*j - 5*h + 25. Let n be 22\/j - 10\/(-2). Let d = 0 + 3. What is the third smallest value in 0, d, n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(l) = -l**2 + 3*l - 4. Give f(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is 145411 to the power of 1\/2, to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((h*h**(-1)*h)**(3\/14)*(h**(-1))**(-5\/6))**(-35) assuming h is positive.\nAnswer: h**(-110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -47, -125, -217, -329, -467, -637?\nAnswer: -845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 24\/1305769 or 1?\nAnswer: 24\/1305769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 69122.\nAnswer: 2, 17, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 20331 and 2345344?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Solve 2*s**2\/5 + 4706792*s\/5 + 2769236366408\/5 = 0 for s.\nAnswer: -1176698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of 376737008*o**4 + 287795927*o**2 wrt o.\nAnswer: 9041688192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange p**4 + 1616*p**3 + p + 0*p + p**2 - 863*p**3 - 1104*p**3 to the form n*p**2 + a + l*p**4 + c*p + i*p**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -4*(-3 + (4 + sqrt(144)\/sqrt(3))**2 + (sqrt(96)\/sqrt(2) + 2)**2 + ((1*sqrt(480))\/sqrt(10) - sqrt(48))**2 + -5).\nAnswer: -432 - 192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -10? (a) 2\/3 (b) 1\/3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -617 + 787. What is the highest common divisor of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 615131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let p(w) = -w - 7 + 4 + w**2 - 2*w + 4*w. What is p(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u be (76\/20 + -5)*10\/3. Let m be 9\/(-4)*(u + -4). Which is smaller: 16 or m?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 14, what is 2c9 - -866?\nAnswer: b51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Round 1250 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: 4 (base 11) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let w(v) = -v**2 + v + 1. Let d(q) = -26*q**2 - 2*q - 4. Give -d(r) - 2*w(r).\nAnswer: 28*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -0.03 - -0.04. Let r = v + 0.23. Let p = -0.04 + r. Round p to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is r in -r**4 - 20*r**3 - 77*r**2 + 98*r = 0?\nAnswer: -14, -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -13*p*v**2 + 4287*p + 2250*v**2 - 14 with respect to p.\nAnswer: -13*v**2 + 4287","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is 154 minutes after 12:56 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let v be 58\/(-5) - (-2)\/(-5). Let f be ((-8)\/v)\/((-1)\/(-132)). Let q = f + -43. Calculate the highest common factor of 30 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t(g) be the second derivative of -11*g**5\/10 + 9*g**2 + 13*g. Differentiate t(y) wrt y.\nAnswer: -66*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(d) = -d**3 - 9*d**2 + 9*d - 5. Suppose 0 = -0*b + 5*b + 50. Let f be m(b). Suppose 25 = 5*r, -27 = -2*v + 2*r - 5*r. Solve 0 = s - v*s - f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(a) = -5*a**3 + 4*a**2 + 6*a. Let j(k) = -k**3 + k**2 + k. Suppose -2*h = -0*h - 2, 2*l - 4*h = -14. Let p(v) = l*u(v) + 30*j(v). Solve p(x) = 0 for x.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(s) = -s**3 - 2*s**2 - 2*s. Let l be c(-2). What is the units digit of l\/6 + 6\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the hth term of 60, 126, 198, 276?\n\"Answer: 3*h**2 + 57*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-4 + 27*z - 27*z + z**2)*(9 + 1 + 0)*(4*z + z - 6*z).\nAnswer: -10*z**3 + 40*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 331 + -148. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(y) = -5*y**3 + 2*y**2 - 2*y + 1. What is i(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -773.68 + 697.5. Round q to 0 decimal places.\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 0 greater than or equal to -81\/131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Sort -5, 30, 6 in ascending order.\nAnswer: -5, 6, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is 1179453621168 + -0.7?\nAnswer: 1179453621167.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 291738495?\nAnswer: 3, 5, 19449233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 742764.\nAnswer: 2, 3, 11, 17, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 563890935 to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is 81 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is the seventh root of 1483 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (u**(-1\/7)\/(u\/u**(-5\/6)))\/(u**(3\/14))**(-44) assuming u is positive.\nAnswer: u**(313\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -1.2 + 1. Let m be (-6 - -1)*(130\/(-25) - -6). Which is the nearest to p? (a) -0.02 (b) -5 (c) m (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {s: 2, v: 5, i: 2}. Give prob of picking 1 s and 1 i.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.00017022051 rounded to seven dps?\nAnswer: 0.0001702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Is 2444982119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is -1022 (base 4) in base 14?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is (-26)\/(-1)*14\/91?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: How many microseconds are there in 8719.167 days?\nAnswer: 753336028800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*d**2 + 1028*d - 2048 = 0.\nAnswer: 2, 512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of ((-39)\/65)\/(-4 - (-74)\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of 46\/27 and 5\/783?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let q be (0\/(-4) - 4) + 6789. Let h = q - 364. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 5690739*c**3 - 5690729*c**3 + c**2 - c**2.\nAnswer: 10*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let d(f) = -f - 2. Let v(l) = 3*l - 2. Let z be v(1). Let m(s) = 1. Let i(c) = z*d(c) - m(c). Suppose 0 = 13*a - 5*a + 72. Determine i(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(r) = -2*r - 7. Let p be a(-5). Let d(c) = -3*c**2 + 43*c + 34. Let n be d(15). Solve 3*q - p*z + 4 = -8*z, 0 = n*q + 5*z + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 6, what is 45 + -14?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 2 y and 1 i when three letters picked without replacement from {y: 2, x: 1, w: 3, i: 6, l: 3}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is 1\/3*12\/(-8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*z + 84 = -4*n, 15006*z = 2*n + 15002*z + 66 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 3791119.\nAnswer: 17, 223007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth smallest value in 1\/15, -1, -2\/3, -2\/13, -117, 3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 6\/2485 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -42 = 4*a - 418. Let o = a + 56. What is the common denominator of 145\/6 and (-1885)\/o - 4\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: -144142 (base 6) to base 10\nAnswer: -13886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the oth term of 30, 98, 212, 372, 578, 830, 1128?\n\"Answer: 23*o**2 - o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let d = -20 + 22. Let k(q) be the first derivative of -q**4 + 3*q**4 - 32 + 4*q**d + 41. Find the second derivative of k(i) wrt i.\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (2 - 2 - 2)*(-4*n + 2*n + n)*(1 - 11 + 8)*(-2 + 2*n + 2).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Divide -2712150 by -904050.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is 663 minutes after 6:35 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let i be -3 + (-4 - -3)*-1. Let u(j) = 16*j - 1. Let h be u(i). Let o = h - -116. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 1184.4525 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: -645 or -643?\nAnswer: -643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Factor -31*q**2 + 16*q - 6*q**3 + 4*q**4 + 3*q**4 + 20*q**3 - 5*q**4 - q**4.\nAnswer: q*(q - 1)**2*(q + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w(a) = 4*a**2 - 10*a. Let d(q) = 9*q**2 - 21*q. Give 3*d(b) - 7*w(b).\nAnswer: -b**2 + 7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is 24263 (base 10) in base 6?\nAnswer: 304155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -5 + -1*(3 + (sqrt(1584) + 0 + (sqrt(1584) - (sqrt(1584) + 1)) + sqrt(1584) + sqrt(1584) + -1*(sqrt(1584) + 0 - sqrt(1584)))**2 + -5) + 2.\nAnswer: -14258 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: In base 15, what is 293a5db - 3?\nAnswer: 293a5d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 99378 is divided by 4967.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second smallest value? (a) 84 (b) 4 (c) 2\/3 (d) 0.3 (e) 2289 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: How many seconds are there in fifteen quarters of a minute?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((-12)\/(-12))\/(14250\/(-228)).\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 1768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is 9919.14863 rounded to zero dps?\nAnswer: 9919","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -27 - (4 + -7) - (-19 + 9 - -7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let d = -0.14 + -0.36. Let i be (-19)\/(-3) - (-4)\/(-3). Which is the biggest value? (a) d (b) i (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t(i) = 2*i**2 - 4*i - 8. Let o(v) = 3*v**2 - 6*v - 12. Suppose 2 = -2*b - 2*l + 14, 0 = -2*b + l + 18. What is b*t(m) - 5*o(m)?\nAnswer: m**2 - 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the lowest common multiple of 3369091 and 552310?\nAnswer: 33690910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence ccw when three letters picked without replacement from {c: 15, w: 4}?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Is 540279251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let t = -52.4 + 52. Let q be ((-9)\/8 + 1)\/(28\/72). Let k = -43\/308 - q. Which is the third smallest value? (a) -0.2 (b) k (c) t (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-y + 6*y - 3*y)*(13*y + 3*y - 4*y).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let i(n) = n**2 - 17*n + 43. Give i(15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate ((-4)\/14)\/(((-645)\/90)\/(-43) + 0).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 961 + -691. Calculate the least common multiple of 7 and k.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {y: 2, d: 4, w: 1, z: 2, i: 2, u: 4}. Give prob of picking 1 y, 1 i, and 1 u.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is 610 minutes before 11:53 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let o(s) = s**3 + 436*s**2 - 2383*s - 467994. Give o(-439).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is -188010 rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let x(y) = -y**3 + 4*y**2 + 2*y - 6. Let a be x(4). Let m(w) = -6*w**2 + 3*w**a + 2*w**2 + 4*w**2. Let g(l) = 2*l**2. Give g(m(p)).\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the fth term of -155, -415, -849, -1457, -2239, -3195, -4325?\n\"Answer: -87*f**2 + f - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 1081 divided by -7272.\nAnswer: -1081\/7272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let t = -1.88 - -0.08. Let z = -1.6 + t. Let i = z - -3.2. What is the second biggest value in i, 0.2, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 274312782 and 714.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 345138 is divided by 2238?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let z be ((-63)\/(-14))\/((-3)\/(-4)). Suppose -3*y + z = -0. What is the first derivative of -s**2 + 0*s**y - 2 - s**2 + 0*s**2 wrt s?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: -4799 * 0.0993\nAnswer: -476.5407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let s = -20242 - -20194. What is the closest to 0.1 in -2.2, s, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 157 + -157.071. Let y = 0.471 + h. What is the second biggest value in y, -29, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round -7715563.74 to the nearest 100000.\nAnswer: -7700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (71 - 126)\/(0 + -5).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let t(j) = -j + 2 - 1 + 0*j. Let v(m) = -2*m**2 - 3*m + 3. Let w(d) = 6*t(d) - 2*v(d). Let i(z) = -3*z + 3*z - 2*z**2. Calculate i(w(c)).\nAnswer: -32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is 32534 (base 8) in base 15?\nAnswer: 40aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Is 0 - 7680\/(-7 - -3) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 14, what is -7 - -1c9?\nAnswer: 1c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*b + 3*y + 16 = 0, -261*y = b - 266*y - 19 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((f*f**(-3\/4)*f)\/(f*f\/f**(1\/5))*(f\/f**6*f)\/f**(-1\/9))\/((f*f**6*f**(-3\/8))\/(f\/(f*f*f**6)*f*(f*f\/(f\/f**(-1\/5))*f)\/f)) assuming f is positive.\nAnswer: f**(-1171\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let s = -2.2 + -139.8. Let z = 4255.15641 - 4397.158. Let j = z - s. What is j rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 45 a factor of 54567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -0.313 - 102.687. Let x = -102 - v. Let j = 39 + -25. Which is the nearest to x? (a) 0.4 (b) 0 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 22*x + 40 = -4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Convert -1 (base 13) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let x be (-3)\/9 + 176\/33. What is the second derivative of -2 - x*o**5 + 7 - 8 - o**2 + o wrt o?\nAnswer: -100*o**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 1080 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let s(y) = -y**3 - 10*y**2 - 12*y - 13. Let d be s(-9). Suppose -4*u + d - 6 = 0. What is the third derivative of 5*x**3 - 9*x**u + 0*x**2 - 5*x**2 wrt x?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(x) = x**2 - 48*x - 5. Let q be o(54). Which is smaller: 318 or q?\nAnswer: 318","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -7495.737 + 7496. What is the third smallest value in 4\/3, -0.1, w?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 6366495 to the power of 1\/2, to the nearest integer?\nAnswer: 2523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -40929 divided by -13643.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((j**(-2\/3)\/j)\/j**(-1\/10))\/(j\/j**(1\/3))**23)**32 assuming j is positive.\nAnswer: j**(-2704\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -2.6 - -2.92. What is r rounded to 2 dps?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(q) = -119*q**3 + q**2 - 4*q - 13. Is j(-4) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence yjjy when four letters picked without replacement from bjnymyj?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the mth term of -23, -30, -45, -68, -99?\n\"Answer: -4*m**2 + 5*m - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 889 - 884. Solve -l*o - 2 = -27 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 67, 51, 17, -41, -129, -253?\nAnswer: -419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Does 719 divide 1888652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -12068 - -12060.341. Let v = w - -7.5. Round v to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 4082 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -2\/5 in -13, -2, 0.5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-2 + (0 + (sqrt(76) - (sqrt(76) - (sqrt(76) + 1 - sqrt(76)))) + 2 + sqrt(76) + sqrt(76) + 1 + 1 + (sqrt(76) + 1)*-1)*-1)**2.\nAnswer: 24*sqrt(19) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Is 4337581895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4 = -4*g - 4*x, 46*x = -4*g + 51*x - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let a be (((-54)\/(-12))\/(-3))\/(3\/(-6)). Suppose -4*y + a*t = -2*t - 30, 5*y = -5*t + 15. What is the lowest common multiple of y and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u be 6\/(-5)*(-10)\/3. Let d(k) = -k**2 + 5*k. Calculate d(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from athaamtia. Give prob of sequence mth.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 3:50 PM and 6:23 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten millions digit of 1399809479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: In base 10, what is 3 - -45800?\nAnswer: 45803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -11 = -7*f + 24. Sort f, -1, 0 in decreasing order.\nAnswer: f, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 14 - 12 + 132*d - 248*d - 2 + 45*d**2 + 134*d.\nAnswer: 45*d**2 + 18*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 6597 - 22*p - 6561 + 2*p**2 + 32*p to the form t*p + y*p**2 + c and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 213657921.\nAnswer: 3, 17, 31, 107, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 38405 is divided by 53?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest common multiple of 171 and 58463?\nAnswer: 526167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*z = p + 6, 0 = 5*z - 7*p + 2*p - 5. Let y(v) = 2*v + v + 12*v**2 - 2*v**2 - 2*v. What is y(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from kkgnkgknggnkygne. Give prob of picking 1 e and 3 g.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Factor -3*y**3\/7 + 9*y\/7 + 6\/7.\nAnswer: -3*(y - 2)*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*w + 59 = 9. Suppose 4*f - w = 55. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -18 - -20. Let u(s) = 4*s**2 - 5*s**2 + 4*s**p. Let d(v) = -v. Determine d(u(w)).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is -5740340 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 156 in -5, -1, 100, -1\/5?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let f be (-1)\/2 - 2\/(-4). Let y(x) = -3*x**2 + 26*x - 25. Let g be y(7). Let l be (4 + 1)*(-8)\/g. Put f, l, 1 in ascending order.\nAnswer: l, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the dth term of -39278, -39472, -39796, -40250, -40834, -41548?\n\"Answer: -65*d**2 + d - 39214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Does 433 divide 5022800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let d(a) = -4*a**3 - 4*a**2. Suppose 4*z + 36 = -4*i, -4*i - 2*z + 3*z = 11. Let k(r) = 3*r**3 + 4*r**2 + 5*r**2 - 6*r**2. Determine i*d(u) - 5*k(u).\nAnswer: u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: -184532.2*-0.06\nAnswer: 11071.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -18*r + 55*r = 74. Solve -4*p + 9 = -3*a, -1 - r = a for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: (2\/7)\/(200\/(-700))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 22451947?\nAnswer: 7, 47, 9749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -0.2? (a) -1\/3 (b) -3\/4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Express 21*d + 14*d + 9 - 9 as n*d + x and give n.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.9732931 micrometers in meters?\nAnswer: 0.0000009732931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the xth term of 146, 571, 1272, 2255, 3526, 5091, 6956?\n\"Answer: x**3 + 132*x**2 + 22*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Is 36377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: (15 + 14 - 16) + -28 - 6\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Solve x - 232 = -3*n - 214, -5*x + 42 = 3*n for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -10 + 8*p + 10 + (4*p - 6*p + 6*p)*(4 - 3 - 2) to the form d + f*p and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is -4622436 divided by -34?\nAnswer: 135954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten millions digit of 3101960475?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let n be (-2299)\/44 + (-6)\/(-4). Let q = n - -50. Let c be ((-1)\/2)\/(2\/4). Which is bigger: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (0 + 1 - 3)*(-15*z**2 - 13*z + 13*z) + 220*z - 220*z - 4*z**2 + 1.\nAnswer: 26*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {x: 14, a: 5}. What is prob of picking 4 a?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -72962, -72852, -72732, -72602, -72462, -72312, -72152?\nAnswer: -71982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -2.98 - 0.72. Let d = -60 + 61.3. Let y = d - h. What is the third smallest value in 2, -2\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 2 q and 1 n when three letters picked without replacement from qqiggqggqnd.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -6*-2*4\/264.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 54 - 52. What is the third derivative of 6*u**3 + 4*u**3 + 6*u**3 - 24*u**2 - v*u**4 - 17*u**3 wrt u?\nAnswer: -48*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j = -9 + 6. Let s = 3 - 3. Is s less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(f) = -563*f + 9471. Determine y(17).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 h, 1 k, and 1 s when three letters picked without replacement from {k: 2, s: 3, h: 3}?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let p(f) = 2*f**3 - 2*f**2 - f - 2. Let d be p(2). Suppose -5*v = -2*c + 24, -2*c + 7*c = d*v + 26. Let a = c + 2. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r be (1 - 3)*-2*(-2)\/(-4). Let f be ((-6960)\/377)\/(-1*r). Which is smaller: 10 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} -{"text":"Question: Let b be (-32)\/6*(-1 + 7\/28). Solve 3*a = -3*h + 6*h + 24, -5*a + b*h + 35 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -361*v + 328*v - 660 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Work out 1022.075 + -0.0410527005.\nAnswer: 1022.0339472995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -2\/7 in 1\/2, 2, 3, 74?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 143\/50568 and 75\/6794.\nAnswer: 3994872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Sort 1, -33, 0.\nAnswer: -33, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let j be 396\/44 + -5*1. Which is the smallest value? (a) 17 (b) j (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 0.4 + 1.6. Let z = r - 0. Let h = -3159 - -3174. Which is the fourth smallest value? (a) -2\/11 (b) h (c) -0.3 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the gth term of 312463, 624969, 937475, 1249981?\n\"Answer: 312506*g - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let b(m) = -m**2 - 6*m + 2. Let r be b(-6). Solve 0*y - 4*y + t = 22, -y = -r*t + 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 223 minutes before 12:03 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is -1.74 - -13272.4?\nAnswer: 13270.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 7.9 - 8.98. Let v = k - -0.978. Let n = -0.102 - v. What is the second biggest value in 1, n, 2, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*c - 2*u + 25 = 0, 3*c + 5*u = -c + 31. Let g be (262\/120 + -2)*c\/24. Let p = -12127\/480 - g. What is the common denominator of p and -13\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -11 + -5 + 21 - (0 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let k(q) = 1473*q**2. Let y(n) = -25*n - 3. Determine y(k(v)).\nAnswer: -36825*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Solve -195*u + 11 = -199*u + 5*d, 4*d = 5*u + 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let b = -498408\/137 - -3638. Suppose -2*m + 4 = 3*m - 4*p, p = -1. Is b less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 8:15 AM and 12:27 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 82484687 is divided by 265.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 69732.\nAnswer: 2, 3, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Put 6, -5, 2, -1\/7, 49, -6 in decreasing order.\nAnswer: 49, 6, 2, -1\/7, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*a - 6 - 5 = 3*l, 0 = l - 3*a - 11. Let u be 6 - (0 + 2) - l. Let s be (0 + 15)*22\/u. Calculate the greatest common divisor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Multiply 78468598 and 0.03.\nAnswer: 2354057.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 26*w - 26 = 234. Suppose 0 = w*i + 10 - 0. What is the nearest to 0.06 in -4, 0.1, 3, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 91\/75 - 27\/25. What is r in y*r + 4\/15 - 2\/15*r**3 - 4\/15*r**2 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 20\/(60\/(-3))*(190\/50)\/((-132)\/(-55))?\nAnswer: -19\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 103035, 95466, 82859, 65220, 42555, 14870, -17829?\nAnswer: -55536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: 42*(-5)\/5*(15840\/336)\/(-55)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (7\/1)\/(42\/(-42))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Sort 855\/8, 3, -2475.\nAnswer: -2475, 3, 855\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from boveare. Give prob of sequence oaoa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 163458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Is 1495357697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 186 and 297.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 109? (a) -1 (b) 4 (c) -2 (d) 152 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let v(c) = -c**2 + 5*c - 2. Let f be v(2). Let x be 264\/42 + f\/(-14). Suppose 0 = -4*q + x*q. Solve -k + 5*z - 30 = 0, q*k = 3*k + 3*z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Solve 2*g = 6*g - 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 46721 is divided by 15200?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*o - 16 - 4 = 0, 5*p - 5*o + 10 = 0. Let u be ((-320)\/3)\/(p\/(-24)). Let s = u + -7657\/6. Find the common denominator of 69\/2 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 50989856 to the power of 1\/3, to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 23*z - 24*z + 3. Let o(i) = -32*i**2 - 3*i - 21. Let k(y) = -y - 1. Let j(g) = z*k(g) - o(g). What is the derivative of j(u) wrt u?\nAnswer: 64*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m be -1 + 0 - (-1 - 0). Let f be 6\/(-18)*(0 - m). Factor -16*b**3 + 0 - 30*b**4 - 8\/3*b**2 + f*b - 50\/3*b**5.\nAnswer: -2*b**2*(b + 1)*(5*b + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(h) = -21*h**2 - 165*h - 170. Let m(o) = -10*o**2 - 82*o - 84. Let z(p) = 6*k(p) - 13*m(p). Factor z(d).\nAnswer: 4*(d + 1)*(d + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o be -6*1\/(-12)*-4 + -771. Let g = -16225\/21 - o. Calculate the common denominator of g and 71\/57.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 599 minutes before 10:08 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let q(n) = n**3 + 5*n**2 + n + 7. Let z be q(-5). List the prime factors of (24\/(-10))\/(z\/(-10)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(i) be the first derivative of 0*i**2 + 2 + 0*i + 0*i**4 - 1\/3*i**3 + 0*i**6 + 0*i**5 - 3\/7*i**7. Find the third derivative of f(c) wrt c.\nAnswer: -360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 9670.4845 rounded to zero dps?\nAnswer: 9670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 111931 is divided by 709?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Total of 539.1132 and -212.\nAnswer: 327.1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: In base 10, what is -175235 - 107?\nAnswer: -175342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 0.338 - -0.162. What is the biggest value in -0.2, -41, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of 17395 and 575?\nAnswer: 2000425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Find p, given that -4*p**5\/5 + 948*p**4\/5 - 33896*p**3\/5 + 223152*p**2\/5 - 63648*p = 0.\nAnswer: 0, 2, 6, 34, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Sort -7, 0.664, 5, -5.\nAnswer: -7, -5, 0.664, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 240, 940, 2106, 3738, 5836, 8400, 11430?\nAnswer: 14926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 4*-417.3984.\nAnswer: -1669.5936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -6651 - -6656. Let l(a) = -2*a**3 + 19*a**2 - 7*a + 6. Let f(p) = p**3 - 9*p**2 + 4*p - 3. Let o(u) = 7*f(u) + 3*l(u). Determine o(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w(a) = 13*a**3 - 30*a**2 - 1484*a + 2978. Give w(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 367 is divided by 87.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -30 = 5*m - 11*m. Suppose 2*g = 4*k + 6*g + 268, 2*g - 4 = 0. Let s be 3 - k\/(-12) - -3. What is the nearest to -2 in -0.3, s, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort -45, 9, -1550.\nAnswer: -1550, -45, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Solve -29*c - 19 + 205 = -104 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.1 + -0.465?\nAnswer: -0.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Divide 1378122 by 40533.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -1 + 1. Suppose w = 4*i - 210 - 190. Suppose 2*r = -3*r + i. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 5 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 19*d - 100 = -d. Solve -d*l + 11 = -14 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 85? (a) -0.12 (b) 0.4 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: (232\/(-174))\/(-1*10)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of -14 + 20 + 4*q**2 + 2*q**2 wrt q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: 39 + -25 - (-35 - (-46 + 31))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Is 2 a factor of 4620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 404752?\nAnswer: 2, 41, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -107*j**3 + 4*j**2*q**2 - 47*j**2*q - 2*j*q + 110200*q**2 - 2*q wrt j.\nAnswer: -642*j + 8*q**2 - 94*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 110 and 594?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 3817378?\nAnswer: 2, 53, 36013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 130 and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Solve -309 = 38*y - 30 + 25 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -500\/37 - -3463\/259. Which is the nearest to -21\/8? (a) 8\/5 (b) 0.1 (c) y (d) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 18381 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth smallest value in 2, 1\/3, 5, -0.5, -0.3, -11.48?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -20983 - -22407. What is the greatest common divisor of 1602 and f?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (d**(-5)\/(d**(-1)\/d))**(-1\/8) assuming d is positive.\nAnswer: d**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let f(q) = 286*q**2 + 4948*q - 9899. Calculate f(2).\nAnswer: 1141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Divide 7820 by 68.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Find u such that 3*u**3\/7 - 93*u**2\/7 = 0.\nAnswer: 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*n + 3*r - 7 = 0, n - 4*n + 1 = 4*r. Let z(h) = 21*h - 1. What is z(n)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 2*k + 1 = h, -15*k + 10*h - 14*h + 50 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Is -4.2 at least -9971736?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Is 46997407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Convert 11 (base 2) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -465227742*i**3*m**2*y - 2*i**3*m - 7028180*i**2*y - 2*i*m**2 - 2*m**2 + 36*m*y wrt m.\nAnswer: -930455484*i**3*y - 4*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let l(u) = -u**2 + 8*u - 7. Let h be l(6). Solve -h*r - 8 = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*k - 7 + 95 = 0. What is the greatest common factor of 66 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*r + 18 = -2*r + 4*x, -11 = 4*r - 3*x. Calculate the greatest common divisor of 1 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -2*t - 0*t + 4*g + 30, -4*t = 3*g - 16. Calculate the remainder when 13 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: -147742 - 0.3\nAnswer: -147742.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let t be (3 + -4)*1\/(-5)*3. Put -1, -4, -4\/3, t in ascending order.\nAnswer: -4, -4\/3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -88*v**2 + 20*v**2 + 69*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let c = -57 + 59. Differentiate 4 - 3 + c + 1 + 10*m with respect to m.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*d - 287 = 4*c + 273, -4*c = 0. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: -103332515 (base 6) to base 2\nAnswer: -111000011000001111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let n(m) = -m**3 + 17*m**2 - 14*m - 1. Give n(16).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-4*5*(sqrt(88) - (3*2*sqrt(88) + sqrt(88))))\/((sqrt(56)\/sqrt(7) + sqrt(8))*-5 + (sqrt(8) - -4*sqrt(8) - sqrt(8))*3).\nAnswer: 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let i(z) be the first derivative of -5*z**6\/3 + 9*z**4\/2 + 10*z - 36. Let t(n) be the first derivative of i(n). What is the third derivative of t(f) wrt f?\nAnswer: -1200*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 105548232.\nAnswer: 2, 3, 101, 43543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Solve -30*b = 4539 - 3909 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose n = 5*p - 15, -15 = -2*n - 0*p - 5*p. Suppose -2*j - 3*o + 34 = 0, 5*j - 2*o - 38 - 28 = n. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(u) = -3*u**2 - 116*u - 949. Calculate r(-26).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 6642.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Is 43 a factor of 32895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let l be ((-84)\/16)\/((-6)\/(-16)). Sort 0, l, 2 in decreasing order.\nAnswer: 2, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (-3)\/6*-1*(-3)\/(-3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Sort -3, 0, 12, -1, -2, -38, 84.\nAnswer: -38, -3, -2, -1, 0, 12, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -15 - -10. Let j(i) = -4*i**2 + 5*i + 5. Let c(q) = -q**2 + q + 1. Let o(f) = l*c(f) + j(f). Let z(m) = -28*m**2. What is o(z(a))?\nAnswer: 784*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: 1 or 177\/5423?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the ath term of -18189, -18271, -18411, -18615, -18889?\n\"Answer: -a**3 - 23*a**2 - 6*a - 18159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let m be 0\/(0 + -2 + 1). Let k be m\/(-1 + -2 + 4). Let c(l) = -l**2 - 9*l - 16. Let r be c(-5). Solve 0 = f - r - k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -n - 3*n + 16. Suppose 0*f - 7 = -4*h + f, n*h - 11 = -3*f. Find the third derivative of 4*t**2 + h - 2 + 8*t**3 - 6*t**3 wrt t.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Work out -22.3 * 0.004.\nAnswer: -0.0892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 90 divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Convert 0.4527811mg to tonnes.\nAnswer: 0.0000000004527811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 5*k + t - 805, -2*t = -k - 0*t + 161. Is k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Work out -0.4 * 2562.\nAnswer: -1024.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from {n: 2, y: 6, v: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Find z such that -5*z**3 - 246512*z**2\/3 - 1898221*z - 754906\/3 = 0.\nAnswer: -16411, -23, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (w\/w**(2\/9)*w**1*(w**(-2\/5)\/w)**(-1\/31))\/(((w**(-1)\/w)\/w)\/(w\/w**(-5))*(w*w\/(w*w**1*w))**(-3\/4)) assuming w is positive.\nAnswer: w**(56207\/5580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 13274347*b**3*m**3 + 13164*b**3*m**2 - 10*b**2*m**2 - 2*b*m**2 - m**2 - 5 wrt m?\nAnswer: 79646082*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let l(u) = 4 - 4 - u**2. Let q(t) = 7*t**2. Let b(k) = 4*k**2. Let n(w) = 5*b(w) - 3*q(w). Calculate n(l(h)).\nAnswer: -h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is 323 minutes after 6:30 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -24 - 6 = -o. Let h(k) = 22*k + 2. Let v be h(-1). Let x = v - -36. Calculate the remainder when o is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5 = -6*c + 7*c. Suppose 0 = 2*p - u - 17, p - c*u + 8*u = -9. What is the first derivative of 17 + 5*m**3 - 6 + p*m**3 wrt m?\nAnswer: 33*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -v - 40784 + 40811 = 5*y, -8*y = -48 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence cchm when four letters picked without replacement from {c: 2, w: 1, m: 3, h: 6}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -40 - 19*y**3 - 8*y**2 + 44 + 63*y**2.\nAnswer: -19*y**3 + 55*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-18 - (-10 + 2) - (-1 + -2)) + -14.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let b = -4 + 13. Suppose -b*m + 7*m + 10 = 0. Calculate the highest common divisor of m and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -338, -925, -1770, -2873, -4234?\nAnswer: -5853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: 6233 or 5292?\nAnswer: 6233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 60? (a) -0.2 (b) -5 (c) -2\/7 (d) 11\/3 (e) -0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 5 + -14. Let n be 2\/k - 136\/36. Let x = -5\/21 + 11\/21. Which is the closest to 1\/2? (a) n (b) 1\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put -5, -57958\/5, -22 in descending order.\nAnswer: -5, -22, -57958\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (z**(-1))**(-46)*((z**(9\/5)*z)\/z)\/(z**10*z) assuming z is positive.\nAnswer: z**(184\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let j(c) = c**2 - 27*c - 171. Is 16 a factor of j(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 2130409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Solve 34 = -2*r - 123*y + 135*y + 126, y + 288 = 5*r for r.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: 21511 (base 8) to base 12\nAnswer: 5289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 63 + -35. What is the units digit of 20\/7*q\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 93 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -3 + -2 + 5 + 9 + -10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the wth term of 54492, 108960, 163428, 217896?\n\"Answer: 54468*w + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let w be 1\/(-6) - (-6 + 1*426\/36). Which is the smallest value? (a) 13 (b) -0.5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 2 + 7 - (-5 + -12 + 40).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Sort 1\/3, 0.2, -1899\/4.\nAnswer: -1899\/4, 0.2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 7 = -4*l - 29. Let s = l - -10. Is s smaller than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round 3.5125589 to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let k(n) be the third derivative of n**7\/630 + n**6\/60 + n**5\/15 + 5*n**4\/36 + n**3\/6 - 7*n**2. Factor k(r).\nAnswer: (r + 1)**3*(r + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 1? (a) -0.2 (b) 3 (c) -3 (d) 0.4824 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.0000296122 rounded to seven decimal places?\nAnswer: 0.0000296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let p be (2 + -17)*-1 + 2. Let d be 66 + 4 - (3 + -1). Calculate the greatest common factor of p and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*t = -4*n, -2*t = 4*n - 0*t. Let u(a) = a**3 - a**2 - a - 6. Determine u(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 16 - -17. Let q = o + -20. What is the remainder when 23 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put 0, 1, 12 in descending order.\nAnswer: 12, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let i be 6*(-4)\/(-60) - 1. Let q = -227 - -1363\/6. Let y = 109\/5 - 22. Sort q, y, i in decreasing order.\nAnswer: q, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -5*l + 4*b + 1100, 3*b + 0*b = 0. What is the highest common divisor of l and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) 247 (c) -2 (d) 2\/7 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 140 in 0.2, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 1\/1703 in 4, 2\/19, 0.4, -4, 5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_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: Suppose -30*a - 831558 = -6679548. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 9:18 PM and 8:34 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: -11.856+1945160\nAnswer: 1945148.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 526 is divided by (-24)\/(-15)*(-1100)\/(-40).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 w, 1 f, and 2 e when four letters picked without replacement from fefeeewej?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 1:43 AM and 12:07 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 101 + -66. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h be (2\/(-6))\/((-2)\/6). Let m = 11 - 8. Is -2 + h - (-102)\/m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find j, given that 5*j**5 - 1163105*j**4 + 10467580*j**3 - 9304480*j**2 = 0.\nAnswer: 0, 1, 8, 232612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(2057) - (4 + sqrt(2057)))**2 + -2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 35100.2 + -35100. Put 85, -9, n in increasing order.\nAnswer: -9, n, 85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*q + 736*l = 741*l + 68, -9*l - 72 = 0. Let m(j) be the third derivative of j**6\/120 + 2*j**5\/15 + 7*j**4\/24 - j**2. Give m(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-3*d**2 + d**2 - 3*d**2)*(2 - 2 - 2) - 210*d**2 + 1001 - 1001 to l + a*d**2 + n*d and give a.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 316 - 13. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -28050*r**3 + 1626916*r**2 + 1654022*r - 944 = 0 for r.\nAnswer: -1, 8\/14025, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 2*f + 1 - 5*f**2 + f**2 + 13*f**4 - 2 + 3*f**2 to the form t*f**2 + q*f**3 + u*f**4 + x + j*f and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*l - 7 = 9. Suppose 0 = -0*r + l*r. Suppose r*a = a - 15. Solve 5*n - a = 0, -3*p + n + 1 = -2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -31a7464 (base 12) in base 2?\nAnswer: -100011111101011111001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is (172\/30 - 0)\/(732\/(-915)) - -7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is -2203 (base 7) in base 4?\nAnswer: -30103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Round 829283 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Add -25.595 and 0.023.\nAnswer: -25.572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Product of 0.3 and -0.49.\nAnswer: -0.147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: -0.5*7277079\nAnswer: -3638539.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is -1a (base 11) in base 14?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Expand (0 + 2*y**2 + 0)*(-y + 0*y + 0*y) + (8*y**2 - 2*y**2 + 0*y**2)*(1 - 1 - 2*y) + 472*y**3 + 317 - 317.\nAnswer: 458*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Solve 438*f - 439*f = 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -7*u + w + 200018 = 13175, -2*w = -5*u + 133467. What is the thousands digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4*w + 39*p = 37*p + 22, -p + 5 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 22530?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from mytyynt. What is prob of sequence tymt?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let n(y) = 41*y**3 - 8*y**2 + 13*y - 4. What is n(1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Expand (2 + 0 - 3)*(36*z + 2 - 4 - 37*z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let g(p) = p**3 + 2*p**2 - 3*p + 2. Let l be g(2). Let k = l - -12. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -4*v - 3*f + 19, -4*f + 17 = -11*v + 8*v. Sort -2\/17, 3, v, 9\/5 in increasing order.\nAnswer: -2\/17, v, 9\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 664446 is divided by 128?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let s be 9\/(-1 + -2) - -3. What is the closest to s in -4, 0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest value in 3, -2, 145292055?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let o be -2 + 0\/(1 - 2). Let w(m) = -2*m**2 + 3*m - 3. Let r(t) = t - 1. Suppose -b - 2*z = -15, -33*z - 8 = -b - 34*z. What is b*w(v) + o*r(v)?\nAnswer: -2*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 1260?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Sort -1, -2\/111, -16 in descending order.\nAnswer: -2\/111, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -505*k + 519*k + 1774*k - 832612 + 830817 wrt k.\nAnswer: 1788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s = 0.206 + 1.454. What is the second smallest value in -0.3, 4\/3, s?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -126506*a**2 - 1 + 126506*a**2 - 3661*a**3.\nAnswer: -3661*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 7777504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let z(j) = j**2 - 5*j + 3. Let h be z(1). Let s(b) = -b**2 + 2. Let v(d) = d**3 - 2*d**2 + 3. Let n(o) = -3*s(o) + 2*v(o). Determine n(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: -23535 divided by 5\nAnswer: -4707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let t = -0.35 - -2.5. Let b = t + 0.25. Let a = b - -0.6. Which is smaller: -0.1 or a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from aqzrf. What is prob of picking 1 z and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Expand (x + 2*x - 5*x)*(-161*x**2 + 161*x**2 - 14*x**3).\nAnswer: 28*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: 7 + -51772424\nAnswer: -51772417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let i = -3 - -8. Let n(u) = 39*u - 54. Let y be n(4). Suppose -3 - y = -21*k. Solve -k*t = 20 - i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 13909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4*r = -w - 12 + 6, -27*w + 30*w = -4*r + 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eeewweeee?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 30, 148, 418, 900, 1654?\nAnswer: 2740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 692 minutes before 8:42 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the fth term of 2995, 6029, 9063, 12097, 15131, 18165?\n\"Answer: 3034*f - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -1.811 - 59.\nAnswer: -60.811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence lz when two letters picked without replacement from {h: 3, f: 1, z: 4, k: 1, l: 4}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Is 3588749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the vth term of -25, -46, -103, -214, -397, -670, -1051?\n\"Answer: -3*v**3 - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Solve 2*v - 99*v + 7626 = 5*v + 84*v for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 121062 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 2 - 3 + b - 2*b**2 - 5*b**3 + 2 + 4*b**3 to the form u*b**2 + t + s*b + r*b**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let 9\/5 + 3*q - 8\/5*q**2 - 16\/5*q**3 = 0. Calculate q.\nAnswer: -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the smallest value? (a) -0.5 (b) 7242 (c) 2\/4119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Solve -6*n + 22 = -28*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is ((-52)\/156)\/(((-55)\/(-225))\/11)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from rxykvxzvz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Suppose 2*o + z - 182 = 0, 4*o + 0*z - 366 = -3*z. Solve 0 = -3*m - 78 + o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort -2, 47, -36516, 0.2 in descending order.\nAnswer: 47, 0.2, -2, -36516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -20 - (-11 - ((5 - -17) + -13))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let z(l) = 6*l**3 + 505*l**2 + 2883*l - 143. Calculate z(-78).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 8\/37 + 13\/111. Let h = 0.02 - -0.98. Let o = 2 - h. What is the nearest to -0.1 in k, o, -3\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g(m) = 2*m**2. Let w(c) = -c**2 + 802*c. What is w(g(s))?\nAnswer: -4*s**4 + 1604*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let s(r) = r**3 - 3*r**2 - r + 2. Let p be s(3). Let g = -3 + -6. Let y be p*(-6 + 2 + g). Solve 14 = -4*l - h - h, -y = 2*l - h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -24*z + 45*z = 148*z - 35941. What is the highest common divisor of z and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -3.79 + -0.21. Let y = -12 + 7. What is the closest to 1\/3 in q, 4, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 161\/90 and 103\/900.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 103293, 103353, 103413?\nAnswer: 103473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 25.41 + -42.36. What is x rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -168 + 205. Suppose 5*w + 3*y - 350 = 0, 3*w - y = p + 173. What is the smallest common multiple of w and 63?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -1 - 2. Let f = -6 - a. Let c = 2.1 - 6.1. Sort c, f, 2 in decreasing order.\nAnswer: 2, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from upuppu. What is prob of sequence ppuu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((f**(2\/7)*f*f)**(-1\/23)*(f*f\/(f\/(f\/(f**(1\/3)*f)))*f*f)**(2\/171))**(1\/7) assuming f is positive.\nAnswer: f**(-5632\/578151)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 44*t - 433 + 433 to x*t + y and give x.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Expand (2 + 1 - 2)*(-3 + 2 + 2)*(24 + 24 + 48 + r).\nAnswer: r + 96","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Solve 68*a + 1933 + 771 + 1568 = -352 for a.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let g(b) = -32*b + 96 - 20*b + 47*b. Let n be g(18). Solve n*q - 12 = 10*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g be (4\/(-6) - (-294)\/9)\/(-6 - -4). Sort g, 5, -3, -94 in decreasing order.\nAnswer: 5, -3, g, -94","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(b) = -2181*b + 104659. What is s(48)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {h: 7, v: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is 14453*95\/534470*58?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let z(g) = -g**2 - 5*g - 4. Let x be z(-3). Suppose x*p + 0*p - 2 = 0. Suppose -20*q = -17*q - 15. What is the smallest common multiple of q and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 7, what is -165 + 21121?\nAnswer: 20623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 24*m**3*o**4 + m**3*o**2 + 2*m**3 + 2*o**4 + 110 wrt o?\nAnswer: 576*m**3*o + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let i(w) be the first derivative of 3*w**2\/2 + 6*w - 4. Determine i(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-1 + 2 + 3)*(-14 + 14 + 2*w).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 4 and 326867704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 201 = 8*n - 199. What is the remainder when 199 is divided by n?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 39034 is divided by 57.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the sixth root of 1143 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Is 8583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 6:37 PM and 11:20 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is -9492798 divided by -21?\nAnswer: 452038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((c**(-1\/8))**(7\/3))**(-7\/2)\/((c**(-2\/3)*c)**(-3\/4)*c**(1\/6)\/(c*((((c**5\/c*c)\/c*c)\/c)\/c)\/c*c)) assuming c is positive.\nAnswer: c**(245\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -3 + 3 - 4298*y**2 - 1525*y**2 + 1021*y**2.\nAnswer: -4802*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Solve -55*i + 60*i + 10 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 1 = -f - 2. Let j = -14.66 - -10.66. What is the second biggest value in -2, j, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*c**4 - 356*c**3 - 5276*c**2 - 11404*c + 17040 = 0. What is c?\nAnswer: -71, -15, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let o = -48 + 40. Let w(x) = 2*x + 17. Let h be w(o). Let u = 0 + 0. Which is the closest to h? (a) -1 (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c be (-24)\/300 - 102\/(-25). Let l(o) = -451*o**2 + 121*o. Let p(w) = 15*w**2 - 4*w. Determine c*l(v) + 121*p(v).\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Is 326691 less than 326691?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*f = 5*l + 8, 3*l = -2*l + 4*f - 36. Which is the closest to l? (a) 0.6 (b) 0 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t(o) = -3*o**2 - 19*o + 17. Let g be t(-7). Solve -52 = -g*v - 10*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(t) = -144*t**2 - 13536*t + 124. Calculate k(-94).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is (57\/(-9)*-3)\/(((-3024)\/(-28))\/(-36))?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.0367986991 rounded to five decimal places?\nAnswer: -0.0368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Is 78941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*w - 122 = -3*w - 105 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 11088400?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {b: 4, c: 5, j: 10}. What is prob of picking 2 b and 1 c?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let r(l) = 3*l + 60. Let v be r(-18). Differentiate -34*f + 15*f - v*f - 36 wrt f.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 16232347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Simplify sqrt(304)*-4 + 4*sqrt(38)\/sqrt(2).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 94 - 94. Let r = -7.3 - -7. Which is the third smallest value? (a) v (b) 1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w(a) be the second derivative of -1271*a**5\/4 + 1447*a**2\/2 + 2845*a. Differentiate w(l) wrt l.\nAnswer: -19065*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -113\/2016 and -1\/294.\nAnswer: 14112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Are -1 and 26\/12911541 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let z(o) = o**2 + 6*o - 3. Suppose 0 = -5*r + 20, -4*r - 2 - 14 = 4*f. Let y be z(f). Let w(l) = -l + 6*l + 7*l**2 - y*l + l**3 - 4. Give w(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r be 8802\/(-15) + (-12)\/(-15). Let s = r - -611. What is the lowest common multiple of s and 40?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the vth term of 4965, 5020, 5073, 5124?\n\"Answer: -v**2 + 58*v + 4908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let y(j) be the first derivative of 2*j**5\/15 - j**4\/4 - j**3\/9 + j**2\/2 - j\/3 + 15. Factor y(m).\nAnswer: (m - 1)**2*(m + 1)*(2*m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 9.071 + -9.46. Let g = m - -1.389. Is g >= -0.328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(u) be the first derivative of u**2\/2 + u + 22. Let v(w) = w**2 - 4*w - 5. Let b(h) = -5*f(h) - 5*v(h). Factor b(i).\nAnswer: -5*(i - 4)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round 23280000 to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let k(u) = -u**2 - 3*u - 1. Let m be k(-3). Let s be (-2)\/6*-3 + m. Put s, -4, 3 in descending order.\nAnswer: 3, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -36064 (base 7) in base 12?\nAnswer: -5477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 225 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (b**(-6)*b\/(b\/b**3)*b**(-5)\/(b*b\/(b*b*b**6*b)))\/((b**(1\/2)\/(b**(2\/11)*b))\/(b\/(b*b*(b*b\/b**(-4))\/b*b*b)*b\/(b**(-4\/7)\/b))) assuming b is positive.\nAnswer: b**(-885\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: -9\/146 or -46?\nAnswer: -9\/146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let y be (5 - 5)\/(-1 + 2). Suppose -5*j = -y*j - 65. Let b(s) = -s + 17. Let u be b(j). Solve -3*c = -4*c + u for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o = -1.0839 + 0.0839. Let h = 0.2 - 0.6. What is the closest to h in 0.3, 2\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 49\/8 and 115\/132.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let v(b) = -289*b + 150. Let c(o) = -292*o + 149. Let h(x) = -4*c(x) + 5*v(x). Let r be h(-28). What is r rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify o**16*o**(-7)*o assuming o is positive.\nAnswer: o**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let w(n) = 16*n**2 - 11*n - 11. Let q(t) = -3*t**2 + 2*t + 2. Suppose 137*v - 140*v = 18. Give v*w(y) - 33*q(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -407*d**5 + 51*d**4 - 94*d**3 - 189*d**2 - 6*d - 890 wrt d?\nAnswer: -24420*d**2 + 1224*d - 564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the fth term of -13760, -15370, -18052, -21806?\n\"Answer: -536*f**2 - 2*f - 13222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Is 79771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {e: 3, m: 1, t: 1, x: 2, r: 6}. What is prob of sequence rrx?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -36 + 25. Let x = y + 14. Sort -3\/4, x, 0.1 in decreasing order.\nAnswer: x, 0.1, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand 102*w - 91*w - 92*w + (1 - 5 + 2)*(-w + 2*w - 3*w).\nAnswer: -77*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 102\/220 + 44\/(-121).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Put -47, -1, 3, -2, -4, 5 in increasing order.\nAnswer: -47, -4, -2, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let i(t) = 156244*t**2 - 312400*t**2 + 156178*t**2. Let j = 0 - 1. Calculate i(j).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.00000847244284 to 7 dps.\nAnswer: 0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let j be (2\/3)\/((-5)\/285). Let a = j - -68. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f be (4 + (-253)\/(-22) - 14)\/((-1)\/(-2)). Solve 2*n = -f*a - 10, -2*n = 4*a + 7 + 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -2243 + 2234. Let p(r) = 4*r + 11. Let s(u) = -5*u - 10. Let w(g) = -3*p(g) - 2*s(g). Let b be w(h). Put -1, b, 4, -5 in descending order.\nAnswer: b, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*z - 3*i + 5 = 0, -2*i = -3*z + 2 - 6. Sort 5, z, 4.\nAnswer: z, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round 9.64347019 to 2 dps.\nAnswer: 9.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -6.05 - -5.7. Which is the closest to 6\/5? (a) 0.1 (b) f (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -27358, -57605, -87852, -118099?\nAnswer: -148346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: How many centimeters are there in 5526.45 nanometers?\nAnswer: 0.000552645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 2436 + -1522. List the prime factors of t.\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w(k) = k**3 - 7*k**2 + 6*k + 1. Let t be w(6). Let h(v) = -v. Let s be h(t). Let j = -1 + s. Put j, 0.1, 4 in ascending order.\nAnswer: j, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand o**4 + o**4 - 4*o**4 + (o**3 + 3 - 3)*(-3*o - 2*o + 3*o) - o**4 + 5*o**4 - o**4 + (0*o**3 - 3*o**3 + o**3)*(25*o - 12*o - 15*o) + o**4 - 2*o**4 - o**4.\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: In base 12, what is 465a81 - -4?\nAnswer: 465a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let q(b) = -32*b**3 - 10 - 2*b**2 - 2*b + 3 + 6. What is the remainder when q(-1) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor 14*b**3 + 7*b**3 + 36*b**2 - 25*b**3 - 60*b + 28.\nAnswer: -4*(b - 7)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find r such that -2*r**5 + 683*r**4 + 2409*r**3 + 2071*r**2 - 343*r - 690 = 0.\nAnswer: -2, -1, 1\/2, 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: -1552 divided by 8\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the rth term of -2143586, -2143598, -2143610, -2143622, -2143634, -2143646?\n\"Answer: -12*r - 2143574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the mth term of 64, 90, 128, 184, 264, 374?\n\"Answer: m**3 + 19*m + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 1\/(-11 + 392\/35)*-2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 0.199 - -12.801. Which is the third biggest value? (a) 3 (b) -4 (c) -19 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 108*p - 109*p + 13. Solve -14*j + p*j = -2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-4*h**3 + h**3 + 2*h**3)*(8 + 3*h - 8) + (-2*h**2 + 0*h**2 + 5*h**2)*(-h**2 + 1 - 1) to the form g*h + w*h**4 + u + t*h**3 + f*h**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: In base 12, what is -991 - -2?\nAnswer: -98b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence mpr when three letters picked without replacement from rmmmmkkpdmkd.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Find z, given that z**2\/3 - 58*z\/3 + 19 = 0.\nAnswer: 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let l be 2*6*(-3)\/(-4). Suppose 0 = 5*x - 6 - l. What is the second smallest value in x, 2\/13, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(v) = 2*v**2 + 13*v - 2. Give o(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let v(c) = -c**3 - 7*c**2 - 7*c - 7. Let a(n) = -n**3 - 4*n**2 - 4*n - 4. Let p be ((-6)\/12)\/(27\/(-14) - -2). Calculate p*a(r) + 4*v(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Factor -5*t**2\/7 + 6821*t\/7 - 15408.\nAnswer: -(t - 16)*(5*t - 6741)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from jppqdiqqiqpppiqqiip. Give prob of sequence pqd.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -9\/5? (a) 3 (b) 0.5 (c) -33 (d) -1\/4 (e) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Solve -50*b - 202*b = 536*b + 18124 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -13*g**2*m**2 - 3952*g**2*m - g**2 - 2695*m**4 + m wrt m?\nAnswer: -26*g**2 - 32340*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let j be -37 - -40 - 9*-1. What is the greatest common divisor of 108 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-2*(-30)\/8)\/((-45)\/(-30)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let g be ((-1)\/(-3))\/(2\/36). Suppose 2*p = 4*p - g. Let t = p - -23. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 65191254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let z be 6\/(-9) - 80\/(-12). Let a be (-1)\/2*(-60)\/z. Suppose -4*b = -3*o + 4, 5*b = 3*o + 2*o - 10. Put a, b, 3 in increasing order.\nAnswer: b, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the lowest common multiple of 12 and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is -1a377 + 8?\nAnswer: -1a36f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {b: 1, d: 2, e: 1, h: 1, v: 1, r: 9}. What is prob of sequence rbd?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 32 - 141. Let i = w - -121. Suppose -i*o = -7*o - 300. Calculate the highest common factor of 36 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 423*q - 30 = 425*q + f, 2*q + 966 = -27*f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of -0.5 and -839?\nAnswer: 419.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the oth term of 4727, 3198, 1679, 176, -1305, -2758, -4177, -5556?\n\"Answer: o**3 - o**2 - 1533*o + 6260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 17865.2702 rounded to the nearest one hundred?\nAnswer: 17900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Is 243 - (2\/4)\/(5\/30) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 54558338, 54558343, 54558348, 54558353?\nAnswer: 54558358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Is 63777059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let x be 2670\/(4 - 7) + -4. Let v = x + 1508. Let w = v + -434. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 12, s: 1}?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 65631 and 5010.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let s = 552 + -3299\/6. What is the common denominator of s and 42\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -2 + 509*v + 34*v**2 - 509*v to a*v + h*v**2 + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Is 46 a factor of 19424466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.000001229539 to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: How many millimeters are there in five eighths of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 36 - 29. Let b = l + 4. What is the smallest common multiple of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z = 34 + -34. What is the nearest to z in 2\/3, 3, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 52 minutes before 7:11 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -2.5 - -2. Let q be (3 - (-3)\/3)*(-52 + 22428\/432). Which is the nearest to -1\/4? (a) y (b) q (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence xxp when three letters picked without replacement from {x: 2, p: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Solve -y + 797 = 5*s + 2*y + 746, -s + 27 = 2*y for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Expand (0 + 1 + 0)*(0 - 1 - 2)*(1 + 2*d - 1 - 2).\nAnswer: -6*d + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 6*(2 + (sqrt(120)\/(sqrt(48)\/sqrt(4)))\/(-1*sqrt(2)*1)*-3).\nAnswer: 12 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Convert -123 (base 6) to base 2.\nAnswer: -110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-2*((5 + (-1 + sqrt(475) - sqrt(475) - sqrt(475)) - 1*(-1 + sqrt(475)))*3 + 3)*2)**2*6 + -5.\nAnswer: -103680*sqrt(19) + 1672699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Expand -5*i**3 + 3*i**3 + 4*i**3 + 9*i**2 - 5*i**3 - 9*i**2 + (2*i - 3*i + 0*i)*(-i**2 + 0*i**2 + 5*i**2) + 2*i**3 - 2 + 2.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Solve 3*t - 39 = 5*m, t - 3*m - 27 = m for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 2024204868 to the nearest integer?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let x(t) = 40*t**3 + 5*t**2 - 23*t + 64. What is the units digit of x(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ggpgp.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 8080 and 1733867?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Is 4518319699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is 68341 to the power of 1\/2, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -5365957*-0.7.\nAnswer: 3756169.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 76 and 342.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let x(d) = -d - 26. Give x(-14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 1818? (a) 0.1 (b) -77\/12 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let v(h) = -h**3 - h**2 - h. Let n(b) = 10*b**3 - 42*b**2 + 90*b - 40. Let w(x) = -n(x) - 6*v(x). Factor w(i).\nAnswer: -4*(i - 10)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: (425\/(-51))\/(-25)*(9\/(-42) + (-56)\/(-147))\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(y) be the third derivative of y**7\/525 - y**6\/300 - 42*y**2. Solve u(a) = 0 for a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(c) = c**2 + 102*c - 1492. Let w be o(13). Suppose 0 = -d + 4*d. Suppose d = 2*g - 3 - 7. Sort g, w, -1 in decreasing order.\nAnswer: g, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -311*b + 4248 = 1124 - 3407 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 84\/(-560)*(-30)\/9*(-3)\/5.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the eighth root of 5511 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 8087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: -721 or -2167\/3?\nAnswer: -721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let i = -8711\/215 + -210\/43. Let l = 45 + i. Which is the closest to 1? (a) 4 (b) l (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*b - 2*b + 6 = 0. Let a(j) = -10*j**3 - 9*j**2 + 12*j. Let o(x) = 7*x**3 + 6*x**2 - 8*x. Let i(g) = 5*a(g) + 7*o(g). What is i(b)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: (-5 - (-3 + 2)) + (-2 - -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let u be -1 - (12\/28 + 90\/(-14)). Solve 3*g + 15 = 0, 6*a + 19 = 3*a - u*g for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 32529857 and 19312?\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -67, -85, -103, -121?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 3834875 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Is 11400848 < 11400847?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -1 + -1*sqrt(1900)*-6 + (4*5*-2*sqrt(1900))**2.\nAnswer: 60*sqrt(19) + 3039999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let k be (-6)\/(-27) - -4*(-4)\/72. Let z = k + 2. Suppose -2*p + 24 = 2*p. Solve z*d = -p - 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate ((-3)\/(-9))\/((-3)\/(-486)*6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 7:55 AM and 11:51 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let l(d) be the third derivative of 0 + 10*d**2 + 0*d + 7\/60*d**5 + 0*d**4 + 0*d**3 + 1\/12*d**6. What is the third derivative of l(o) wrt o?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -36 + (-7 - -37) + 48.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is (13*-1)\/(-21 + (-5)\/(210\/(-896)))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Express -23*c**4 + 5*c + 91 - 3*c**2 - 200 + 109 in the form l*c**4 + i*c**2 + v + r*c + g*c**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 39 + 48 - 34 - 3*x + (-2 + 0 + 6)*(4*x - 4*x + x) + 2*x - 1 + 1 to the form n*x + q and give q.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let t be (-55)\/4 - 2\/8. Let f be (-102)\/t + 2\/(-7). Let a(m) = m**3 + 14*m**2 - 14*m + 29. Let j be a(-15). Calculate the greatest common factor of j and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {l: 3, v: 2}. Give prob of sequence vv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 1083750 divided by -867.\nAnswer: -1250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (3*((sqrt(7) - (sqrt(49) + (sqrt(98)\/sqrt(2) - sqrt(49)))\/sqrt(7)) + sqrt(7) + 0 + (sqrt(7) - (-5*sqrt(7) + sqrt(7)))))**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -42 + 60. Suppose -3*g + q - 9 = 0. What is the second derivative of -11*a + 1120*a**g - 1120*a**3 + 20*a**5 wrt a?\nAnswer: 400*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the oth term of 5854, 11699, 17544, 23389, 29234?\n\"Answer: 5845*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let m(p) = -p**2 - 9*p + 4. Let h be m(-9). Let l be h\/(-24) - 62\/(-12). Suppose 52 + 33 = l*b. Is 17 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 15560 minus 102?\nAnswer: 15458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -57\/1066 and 71\/2?\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 2904 and 787809.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let p(t) = 1 - 6*t**2 + 5*t**2 + 3*t**3 - t**2 + t**2. Let y be p(1). Solve 0 = -2*o + y - 11 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 2? (a) 4 (b) -27 (c) -9 (d) 22.5 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: -19*57*(-12)\/(-110466)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -372 - -376. Let i(c) be the third derivative of 0*c**4 - 1\/15*c**5 - v*c**2 - c**3 + 0 + 0*c. What is the first derivative of i(k) wrt k?\nAnswer: -8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -793, -548, -301, -52, 199, 452?\nAnswer: 707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 168 and 13496.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is ce (base 15) in base 7?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let k be 2980\/(-24255) + 4\/(-18). Let a = -8\/49 - k. What is the third smallest value in 0.3, a, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 3 a factor of 533574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Is 40 a factor of 16440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let d(z) = -15*z + 162. Let a be d(11). Let j = 6 + -5. Let v(t) = -6*t**3 + j + 3 - 4*t**2 + 5*t**3. Calculate v(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 15000 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Is 46 a factor of 485833206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 78952 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose i = 10*i - 18. Find the third derivative of 0*g**4 + i*g**4 + 6*g**4 + g**2 wrt g.\nAnswer: 192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -51, -69, -87, -105?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 163\/560 - -19\/70. Let b = 51 + -79. Let j = b + 28. Which is smaller: m or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-3)\/(-9*1\/(-15)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*r - 3*s = -8*s - 3, -2*r + 10 = 2*s. Solve 3*h + r - 19 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -153 + 158. Suppose 0 = g*n - 2*w - 78, 5*w = 4*n + 9*w - 68. Solve -4*h - n = -4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: -3ae96 (base 15) to base 16\nAnswer: -2e1f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -46*p + 35*p - 51*p + 186 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is 3 (base 16) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let j(g) = -g**3 + 7*g**2 + 15*g - 95. Suppose -5*b = 5*t - 70, t = -4*b + 8 + 27. What is j(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (n**2*n)**(-18)*(n**(-3))**34 assuming n is positive.\nAnswer: n**(-156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*k**4 + 18*k**3 - 6*k**2 - 50*k + 36 = 0. What is k?\nAnswer: -9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let b = 469 + -122. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from zkkkezzzekkzkezzz. Give prob of sequence ek.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let c(b) = -b + 1. Let u be c(-4). Suppose -5*i + 228 = -i + 4*x, u*i - 280 = -4*x. Is 26 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(19) - sqrt(2736)*1)*5*4 + 2.\nAnswer: -220*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Solve -15035*u + 8896 = -15174*u for u.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let o be 0\/(-8 + -4 + 4). Suppose o = -31*t + 66 + 2786. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -162 - -165. Let y be l*((-26)\/22 + 1). Let c be ((-4)\/(-10))\/((-9)\/15). Is y <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand 7 + 14*b**4 - 7 - 28*b**4 + 15*b**4 + 33*b**4 + (-2 + 1 + 2)*(-5*b**4 + 0*b**4 + b**4).\nAnswer: 30*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let v(m) = 2*m**2 - 12*m + 9. Let g(x) = -3*x**2 + 13*x - 10. What is -4*g(l) - 5*v(l)?\nAnswer: 2*l**2 + 8*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -32 - -31.36. Let n = a - -3.64. Let d = 0.08 + -0.02. Sort d, -2, n in decreasing order.\nAnswer: n, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is -64 bigger than -3987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 o and 1 k when two letters picked without replacement from okm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Sort -0.3, 7, 2, 0, -0.4 in ascending order.\nAnswer: -0.4, -0.3, 0, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -55? (a) -0.201 (b) -3\/5 (c) -702\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of 298*g**3 - 34*g**2 + 3*g - 638769 wrt g.\nAnswer: 894*g**2 - 68*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*o**5\/2 + 155*o**4\/2 + 135*o**3 - 295*o**2 - 275*o\/2 + 435\/2 = 0.\nAnswer: -29, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*n - 2*y - 118 = 0, y = -0 - 5. Let s = 96 - n. What is the least common multiple of s and 3?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(h) = -146*h**2 + 8*h + 1. Let c be m(-5). Let f = 6550 + c. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 28 or 13\/335027?\nAnswer: 13\/335027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Divide -10 by 971194.\nAnswer: -5\/485597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: 1 (base 3) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 26792 - 25037. Calculate the highest common divisor of 1287 and q.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -22133 - -22173. What is the remainder when 5199 is divided by y?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -51\/96635 and 139\/110440.\nAnswer: 773080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 31\/231 + 5\/33. Let f be ((-16)\/7)\/(-4)*1. Factor 2\/7*m**4 + 0*m**2 - f*m - g + 4\/7*m**3.\nAnswer: 2*(m - 1)*(m + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3 = 4*y + 5*q + 18, 9 = -3*q. Let h be 4 + 2 + y + -1. Suppose -h*a - 7 = 18. Sort 2, a, 3 in descending order.\nAnswer: 3, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -281, -246, 79, 694, 1599, 2794?\nAnswer: 4279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: In base 15, what is -1 - 11?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is 236 minutes after 7:03 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Put -71, 4, -3 in increasing order.\nAnswer: -71, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is (-140800)\/(-4169440) - (-1)\/103?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (b**4 - 4*b**4 + 2*b**4)*(-1 + 1 - 2) + (-3*b + 2*b + 0*b)*(-15*b**3 - 34*b**3 - 6*b**3).\nAnswer: 57*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let j = -31 - -52. What is the lowest common multiple of j and 33?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w be 4*2*(-45)\/(-40). Suppose j - s - 9 - w = 0, 27 = 4*j + 5*s. Calculate the remainder when 24 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 4 divide 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 121\/356076 and -29\/1764.\nAnswer: 2492532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Product of -6 and -0.701.\nAnswer: 4.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Factor -1\/7*f**4 + 0 + 4\/7*f**2 - 4\/7*f + 1\/7*f**3.\nAnswer: -f*(f - 2)*(f - 1)*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 0.218 + -0.518. Which is the nearest to -18? (a) x (b) -1\/3 (c) 3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -20*l + 2324 - 104 = 0. What is the remainder when 249 is divided by l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 43506 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is 5.27784 rounded to 1 dp?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (s**(4\/7)\/(s\/(s*s**(2\/5)))*s**(2\/23)*s**(-4))**29 assuming s is positive.\nAnswer: s**(-68672\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let f(s) = -s**3 - 4*s**2 + 14*s + 20. What is the lowest common multiple of f(-6) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 5431 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Solve 3*x = -2*g - 8, -2*x + x - 14 = -5*g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Solve -574 = 12*w - 610 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is -202220121010 (base 3) in base 13?\nAnswer: -11545b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let c(h) = h**3 + 9*h**2 + 8*h - 8. Let a(k) = -k**3 + 7*k**2 - 14*k + 49. Let p be a(6). Let r be -3 + (-11 + 6)*p. Determine c(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 4059 and 1493876.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 1001 = 336*r + 329. Let f(k) = 3*k**3 - 6*k**2 - 2*k - 5. What is the lowest common multiple of r and f(5)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 4\/1 - (-22125)\/(-5625).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 33*q = 2*g - 35, 2*q - 2*g - 3 = 4*q - 3*g for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is -3157.6645 rounded to the nearest 10?\nAnswer: -3160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Solve 121*p + 223*p - 2920 - 7744 = 0 for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let p = 15 - 12. Let i = -2.7 + p. Which is the closest to 1\/2? (a) -1\/7 (b) i (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.11 times -161?\nAnswer: 17.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is eighteen fifths of a century in decades?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the distance between -0.2 and -17613.03?\nAnswer: 17612.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is 97 minutes before 4:13 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 2937.2 + -2938. What is the second smallest value in n, 0.4, 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 5751737 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Is 254397838 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let l(v) = -10 - 2815*v**2 - 3*v + 3 - 1471*v**2. Let a be l(-7). Round a to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 69599?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 67047\/10 + -12985\/2. Let s = i + -1277\/6. Let a = -3\/10 - s. What is the smallest value in 1, 1\/2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*m - 2*d + 2638 = 0, -3*m + 3915 = -5*d - 74. Calculate the greatest common divisor of 756 and m.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -v + 37 = 3*k, 7*k - 58 = 2*k + 2*v. Suppose 4 + 10 = 7*d. Suppose 90 = -d*l + 11*l. Calculate the remainder when k is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide 3 by -4640950.\nAnswer: -3\/4640950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let c be (-16 - -19)*(1 - 0). Let p = -2 + c. Let o(r) = 4*r. Give o(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3 = -0*f + f. Suppose 0 = h - 2*o - 33, -5*o + 110 = f*h - 0*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify a**(8\/9)*a\/(a\/a**(-41))*a assuming a is positive.\nAnswer: a**(-352\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.5 times 56160585?\nAnswer: 28080292.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*o - 9373 = -4*p - 3*o, -4*p + 2*o = -9366. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -5*b - 34 - 1. Let h(a) = -3*a - 12. Calculate the remainder when 17 is divided by h(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 440\/20 + (-12426)\/513.\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 2403?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of 93\/271754 and 65\/826?\nAnswer: 271754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-2)\/(-7)*1227\/(-818).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (k**(-2\/7))**(-19)\/(k*k**(-3))**(-50) assuming k is positive.\nAnswer: k**(-662\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let w be (30\/(-4))\/(-15) + (-7)\/42. What is the nearest to 0 in -3, 39, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (l**(-8)*l**(-5))\/(l**(-1\/10)*l*(l*l**(-1\/2)\/l)\/l) assuming l is positive.\nAnswer: l**(-62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let p be 14*34 - (10 + -6). Let h be 1 - p\/(-10) - 2\/10. Calculate the greatest common factor of 72 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Product of 1 and 1.84.\nAnswer: 1.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let q(g) = -5679971*g + 44. Let u(n) = 8519956*n - 65. Let i(l) = 7*q(l) + 5*u(l). Let v be i(-1). Round v to the nearest one hundred thousand.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 17 + -5. Let y be (-4 - -14) + 1 + -3. What is the highest common factor of y and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(t) = 7*t - 20. Let q be u(5). Let c = q + -12. Let m = -2 - 1. Sort 5, c, m.\nAnswer: m, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -2249.3 - -2249.2. Let j = -1 - -2. Sort l, -3, j, 0.3 in ascending order.\nAnswer: -3, l, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {c: 2, x: 3, i: 1, p: 1, g: 2, w: 6}. What is prob of sequence xxgx?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: 3 (base 16) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let a(u) be the third derivative of -u**6\/480 - 29*u**5\/120 - 841*u**4\/96 - 332*u**2. Factor a(l).\nAnswer: -l*(l + 29)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t(q) = -2*q + 12. Let v be t(5). Suppose -2*h + 4 = -3*o, -o - h - v*h + 17 = 0. Solve 6*y = o*y - 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 6845 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let c be (-6)\/42 - 40\/(-35). Let r be (7 - 2\/1)\/c. Solve r*l + 5 + 0 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the fifth biggest value in 7, 2\/7, -2\/7, -1, -0.078365, 1, 0?\nAnswer: -0.078365","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let n be 40\/22 + (-28)\/(-154). Let u(w) = -3*w - 3 + 5*w - 5*w + w**n. Calculate u(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*a + 4 = 2. Let h be a*(3 + -108 - 1). Let r = 399 + h. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(g) = 27*g + 1. Let c be m(-1). Let f = 8 - c. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 89*u + 88*u = 7109 - 1091. What is the highest common factor of u and 16303?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -b + 1488 + 841 - 467 + 418 to the form t + j*b and give t.\nAnswer: 2280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Solve 45*a = 162*a - 585 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let f be (-2)\/6 + 80\/15. What is the third derivative of -3*k**6 + 13*k**2 + 10*k**6 - f*k**6 wrt k?\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v(t) = -t**2 + 20*t + 84. Calculate v(-8).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is -10110000000011000001 - 11100?\nAnswer: -10110000000011011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 714269?\nAnswer: 223, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is the first derivative of 1970*d**3*q**3 + 12781*q**3 wrt d?\nAnswer: 5910*d**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -358*b + 137005 - 120179 for b.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: ((-525)\/(-750))\/(7\/14 + 0)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 9 + -7. Suppose 5*a + 1 = -3*g + 34, 0 = -n*a - 6. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 50, 129, 182, 197, 162, 65, -106?\nAnswer: -363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -2*y**4 + 1049*y**3 + y**2 + 1744*y.\nAnswer: -24*y**2 + 6294*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-2*sqrt(63)\/sqrt(3)*-6)\/(1*(sqrt(243) + (-3*sqrt(243) - sqrt(243)) + sqrt(243))) + 2.\nAnswer: -2*sqrt(7)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is 112596003 to the power of 1\/2, to the nearest integer?\nAnswer: 10611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*f - 21 = -5*f. Suppose 5*j - d = -31, 2*d = 5*j + f*d + 25. Is j less than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put -6, 31, 4, -3, 53 in ascending order.\nAnswer: -6, -3, 4, 31, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred thousands digit of 804343?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let n be (6 + (-39)\/6)\/((-2)\/12). Let f = -0.93 - -0.9. Which is the second biggest value? (a) -3 (b) 2 (c) f (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g(z) = -z. Let y(q) = -139*q**2 - 17 + 6 - 46*q**2 + 11. What is g(y(w))?\nAnswer: 185*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Does 28 divide 3035087104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of 27 and 18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (j*j**(-5))**19\/(j*j\/j**(1\/3))**(14\/3) assuming j is positive.\nAnswer: j**(-754\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -3 - (-3)\/(-36)*2 and 77\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 13311392 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -73\/48 and -51\/32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*i - 3*w + 16 = 0, -2*w = -5 + 1. Let h be -1*(0 - 1)*i. Let g(m) = 8*m + 21. Let n be g(0). Solve -r - 5*y + 11 = -3*r, -3*r + n = h*y for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 229473 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest common multiple of 108\/8*(-8)\/(-4) and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (10\/(-40))\/(1\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Is 2706186887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 20.88123 or -82?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*r = 67*r - 257344. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 336\/(-36)*36\/42?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let b(t) = t**3 + 2*t**2 + 13*t + 9. Let x be b(-1). Let j(k) = -k**3 + 5*k**2 + 6. Let w(o) = -3*o**3 + 14*o**2 + 17. What is x*w(q) + 8*j(q)?\nAnswer: q**3 - 2*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let m(s) = s**3 + 5*s. Suppose -o + 96 = 2*o - 3*r, -2*o = 3*r - 49. Let t = -31 + o. Let z(p) = 2*p. What is t*m(i) + 5*z(i)?\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 8 - 20 = -2*c. Calculate the smallest common multiple of 4 - ((-18)\/(-8) - 13\/52) and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(t) = -38*t. Let l(n) = 12415*n - 12415*n - 2*n**2. Calculate j(l(r)).\nAnswer: 76*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -101702*s - 101678*s + 203378*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 18864 is divided by 178?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.00013593 rounded to six dps?\nAnswer: 0.000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from vnrrpnrnpvr. Give prob of picking 3 r and 1 v.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Sort 142, -0.5, 1\/17.\nAnswer: -0.5, 1\/17, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Is 12 <= 129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let o be (-9)\/(-30)*-4*(-5)\/39. Which is the biggest value? (a) 187 (b) -0.1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort 69, -4, 68, 88, 4 in increasing order.\nAnswer: -4, 4, 68, 69, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence uv when two letters picked without replacement from {l: 2, z: 2, s: 1, v: 5, u: 4}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let c = -52 + 40. Let f be (-6)\/10*10\/c. Sort 2, f, 1 in ascending order.\nAnswer: f, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 4.2 - 3.83. Let i = -2.63 - f. What is the nearest to 0.1 in 10, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 704 minutes before 11:11 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (g**(1\/2)\/(g\/(g*g**(5\/3))))\/(g**(2\/17)\/g**(3\/13)) assuming g is positive.\nAnswer: g**(3023\/1326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (w**(15\/7)*w**(1\/2)*(w*w**12*w*w)\/w**13)**(18\/5) assuming w is positive.\nAnswer: w**(117\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let l(q) = 2*q**2 + 180*q + 2144. Determine l(-69).\nAnswer: -754","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let h(y) = y + 7. Let i be h(-6). Let v(l) = 3*l - 2. Let q(a) = -a. Let b(m) = i*v(m) + 2*q(m). Differentiate b(d) wrt d.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 460447878 divided by 3.\nAnswer: 153482626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 4966902.\nAnswer: 2, 3, 275939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let q(v) be the third derivative of 7*v**5\/30 - 3*v**4\/8 + 2*v**2. What is the second derivative of q(x) wrt x?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert 3446536 (base 8) to base 4.\nAnswer: 3210311132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is 610 minutes before 9:24 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let f(i) = i**2 + 1. Let n be f(1). Let j be -3*3\/(-6)*n. Suppose 0 = 6*q - j*q - 4*x - 123, 4*q - 145 = -x. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q(u) be the second derivative of u**4\/72 + 4*u**3\/9 + 16*u**2\/3 + 19*u - 2. Factor q(z).\nAnswer: (z + 8)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(z) = -z**2 + 13*z + 2176. Calculate f(53).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 43706 and 464858.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence tfee when four letters picked without replacement from {t: 3, b: 1, e: 4, y: 2, f: 1, z: 7}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 17066.8*-2.\nAnswer: -34133.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -1779 - -2285. Which is the closest to -1? (a) p (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -27*j + 10409 = -10867. Let u = j - 777. Solve u = 3*f + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -11*-8481.\nAnswer: 93291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is (-55)\/(-132)*(-20)\/(-5)*-1?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let b(l) be the third derivative of l**8\/112 + l**7\/35 - l**6\/20 - 2*l**5\/5 - 7*l**4\/8 - l**3 - l**2. Let b(k) = 0. What is k?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w be (-2)\/9 - (1 + 94\/(-18)). Solve 0 = g - u - u - 7, -1 = -g - w*u for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b = -1 + 4. Suppose -2*h + 3*l = -14 + 5, -h + l + 4 = 0. Factor i**h - 2*i - 6*i**b + 2*i**2 - 9*i**2.\nAnswer: -i*(i + 1)*(5*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 5, what is 4141104 - -4?\nAnswer: 4141113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 30 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -8*a = -7*a - 20. Suppose -5*r + 52 = 22. Suppose r*f + 35980 = a*f. What is f rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (2 - 17*s + 8 - 34)*(-4 + 2 + 5)*(26 - 14 + 2)*(0 - 1 + 2).\nAnswer: -714*s - 1008","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Add 389149.474 and 0.33.\nAnswer: 389149.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 6, o: 7}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let c(f) = 146*f + 1714. What is c(-14)?\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*p + 2 = u, -5*p + 21 = 4*u - 0. Suppose 0 = -5*f + 19 - 4. What is the units digit of f*(-1)\/(-1) - p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(f) be the first derivative of f**6\/360 - 23*f**3\/3 - 4. Let i(g) be the third derivative of c(g). Let k(d) = -7*d + 18*d - 4*d + 20*d. Determine k(i(s)).\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 11*r + 6959 - 1393. Which is greater: r or -507?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put 133.539, -300, 5, 2 in ascending order.\nAnswer: -300, 2, 5, 133.539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 28959506 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 53\/20 and 71\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 33\/5737814 and -27\/18931.\nAnswer: 63115954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the lowest common multiple of 524 and (-4)\/42 - ((-88006)\/168 - 13\/52).\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.000034407 rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Put together -0.2 and -440214.3221759.\nAnswer: -440214.5221759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 2*a + 2*a - 3*g + 38, -g = 4*a + 30. Let i = a - -11. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*r + 79 = 3*c + 6, -4 = 4*c. Let t(n) = 3*n**3 - 3*n**2 + 3*n - 1. Let z be t(1). Solve 2*d - d + 4*m = r, 0 = -z*d + m + 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -2840 + 2848. Which is the nearest to 0.02? (a) g (b) -0.2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 12 and 4638.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is 502 minutes before 9:26 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Solve -5*g - 9 = 11 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4*p = p + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: In base 5, what is 10 - 232?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is -4 - -66c64?\nAnswer: 66c60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yyzyzyyyyyy?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the third biggest value in -3, -58, -1249, 1\/2?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -2*b**2 - 6*b**2 - 7*b**3 + 2*b**2.\nAnswer: -7*b**3 - 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: In base 7, what is 1 - -254664?\nAnswer: 254665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let b(h) = -h**2 + 84. Let f be b(9). Solve -1 = f*r - k + 6*k, -2*r = -5*k - 16 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -6*p - 28*p**3 + p + 5*p.\nAnswer: -28*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let i(d) = 6*d**3 + 6*d**2 + 5*d - 10. Suppose -4*r + 5*l = -21, -3*l + 3 = 2*r - 2. Is 10 a factor of i(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(x) = -x**3 + 65*x**2 - 4*x + 216. Give i(65).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let a(v) = -48*v**3 - 27*v**2 - 27. Let j(w) = 4*w**2 + 8*w**3 + 0*w**2 + 4 - w**3. Suppose -51 = -2*g + 3*l, -130 = -5*g + l + 4*l. What is g*j(b) + 4*a(b)?\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 1:24 PM and 11:42 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Which is the biggest value? (a) 1.4 (b) -2\/205 (c) 349\/38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Convert 0 (base 15) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*v = -8*v + 380. Suppose 3*f + 7 = -z + 8*f, -5*z - f + v = 0. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor t**4\/6 - 5*t**3\/2 + 6*t**2 + 2*t\/3 - 8.\nAnswer: (t - 12)*(t - 2)**2*(t + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*d + 44 = -4*d - 4*x, 5*x + 19 = d. Let i = -3 - d. Let k be (-1)\/4 - 91\/(-28). Solve 0 = 2*f + 5*q + 26, 6 - i = k*f - 3*q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 377 and 1276.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 5879 is divided by 39.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Sort 0.3, -5, 2, 307.32, -29, 0.5 in descending order.\nAnswer: 307.32, 2, 0.5, 0.3, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 384951 and 357.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 1\/438 - 4541\/6570. Let y = 4\/45 + t. Which is the third smallest value? (a) 2\/3 (b) y (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -4 + 7\/2. Let t = -5.31 + 1.31. What is the nearest to 2\/3 in u, 2\/11, t?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -7 in 2\/23, -7, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 6594 and 34818?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Convert 110da (base 14) to base 16.\nAnswer: a188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 5*o - 2*h + 28, -3*h = -0*o - 5*o - 32. Let r = o + 7. Suppose -t + r + 12 = 0. Calculate the highest common factor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(r) = -r**2 - 3*r - 3. Suppose -52 = -5*v + 8. Suppose -6*u = v - 0. Let h be 1\/((7\/(35\/u))\/2). Determine m(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -7*i + 93 = 44 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let k(q) = -7*q - 8. Calculate the remainder when k(-8) is divided by -17*(2 + (-12)\/4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 7, what is 4 - -65?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let f(k) be the first derivative of -k + 16\/3*k**3 + 0*k**2 - 10. What is the first derivative of f(p) wrt p?\nAnswer: 32*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h(x) = 14*x**2 - 11. Let k(b) = -1578*b. Calculate k(h(z)).\nAnswer: -22092*z**2 + 17358","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 103 - 102.9. Let m = r - 0.062. Let u = m - -0.062. Round u to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: -8 divided by -39622557\nAnswer: 8\/39622557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let n be 30\/2 - (1 + 0). What is the common denominator of 4\/n - (-898)\/140 and (1 + 36 + 5)\/((-11)\/1)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -7*w = -20 - 22. Suppose -3*s = -0*f + 4*f - 639, -2*f + w = 0. What are the prime factors of s?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(f) = 3*f**2 + 15*f - 99. What are the prime factors of u(-41)?\nAnswer: 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -3\/40 in -10, -3, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Is 518996\/10 + (-342)\/570 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k be (2 + (0 - -34))*2\/4. Suppose -11*q = -20*q + k. Factor 4\/3*g**3 + 0*g + 4\/3*g**q + 0.\nAnswer: 4*g**2*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.44 rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -44 + 45. Solve -4*v - q + 9 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor 14*b**3 + 6836*b**2 + 101282*b + 28380.\nAnswer: 2*(b + 15)*(b + 473)*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 6719?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -1*sqrt(931)*-1 - sqrt(931).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 0.01 + -6.01. Let r = 6.2 + x. Let c = 6.08 + -0.08. Which is bigger: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 62490 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the jth term of 13, 111, 267, 475, 729, 1023?\n\"Answer: -j**3 + 35*j**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Solve 2*h - 3 + 4 = 3*w, 4*w - 24 = -3*h for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((l\/(l\/(l\/(l\/(l**1\/l)))))**29\/(l**4*l\/l**(-2)*l))**13)**(-11\/3) assuming l is positive.\nAnswer: l**(1144\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let n(u) = -20*u**2 + 29*u - 15. Let k(r) = 9*r**2 - 14*r + 8. Let w(h) = 9*k(h) + 4*n(h). Let z(i) = -i**2 + 9*i - 11. Let t(y) = 5*w(y) + 6*z(y). Give t(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of -a**5 - 12109*a**4*r**2 - a**3*r - 2816*a**2*r**2 - 5*a**2*r + 6*r**2 wrt a.\nAnswer: -60*a**2 - 290616*a*r**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is 424 minutes before 12:25 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*r = 4*b + 28, -r - 14 = b - 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 55045487.\nAnswer: 7, 7863641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Put -0.002, 16299, 2\/47 in descending order.\nAnswer: 16299, 2\/47, -0.002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 4 in 2, -40.2, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Divide 7 by 1821275.\nAnswer: 7\/1821275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -3 + 5. Suppose 10*v - p*v = -40. Which is the nearest to -1? (a) -3\/5 (b) 0 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence babc when four letters picked without replacement from baassaaayaycbaababs.\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is -6890 divided by -689?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let z be 606\/42 + 6\/(-14). Let c(q) = z*q**2 - 10*q**2 - 7*q**2. Let w(v) = 0*v**2 + 0*v**2 + 2*v**2. Determine w(c(k)).\nAnswer: 18*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 556, 1111, 1666?\nAnswer: 2221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -1 in 3\/5, -1, 1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let y(h) be the second derivative of -h**5\/20 - 139*h**4\/6 + 3723*h**2 - 7073*h. Find the first derivative of y(o) wrt o.\nAnswer: -3*o**2 - 556*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 299811882 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -105 + 105.3. Put 5, r, -20 in descending order.\nAnswer: 5, r, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: 753 divided by -753\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -1541, -1441, -1341?\nAnswer: -1241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Express 5 + 5 - 3*n**2 + 4*n**2 + 66*n**3 - 8 as s*n**3 + h*n**2 + p + a*n and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Is 31 a factor of 10292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let s(n) = -1512*n - 629. Is s(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(a) = 3*a**2 - 16*a + 10. Let v be k(5). Differentiate 20*o - 2*o - 2*o - v*o - 205 + 3*o wrt o.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 2*u + 3132 - 1689 + 1555 - 3*u to n + i*u and give n.\nAnswer: 2998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 296 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let z(t) = -t**3 - 3*t**2 - 3*t - 3. Let a be z(-3). Let v be (-646)\/a + 2\/(-6). Does 9 divide (-4)\/(-2 - v\/56)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 96 is divided by 35?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let s(c) = 106*c**3 - c**2 + 4*c - 3. What is the tens digit of s(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 292 + 93 - 4*j**3 - 385.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let z = -3791743 + 891743. Round z to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*z - 3*o - 23 + 283 = 0, 5*z - 255 = -2*o. What is the remainder when 261 is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p(i) = -i**2 + 2*i + 2. Let g be p(2). Let l be 270\/63 - (-2)\/(-7). Let a = 7 - l. Solve -11 = -g*c - a for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 13.7 + -30.5. What is y rounded to 0 decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*s + 1640 = 4*w, -w - 1236 = -4*w - 3*s. List the prime factors of w.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 141013834?\nAnswer: 2, 13, 29, 6449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 0.49 (c) 3 (d) 0.066\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Factor -n**3\/4 + n**2 - n\/4 - 3\/2.\nAnswer: -(n - 3)*(n - 2)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Factor 116\/3*o**2 - 8*o**3 + 0 + 1\/3*o**4 - 48*o.\nAnswer: o*(o - 18)*(o - 4)*(o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*i = -i - 2, -2*l - 2*i + 30 = 0. Let o = -2 + 7. Let u = l - o. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the th term of 64524, 64528, 64530, 64530, 64528, 64524, 64518?\n\"Answer: -b**2 + 7*b + 64518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Work out -7.8302 + -27.43.\nAnswer: -35.2602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let v(b) be the second derivative of 7*b**6\/20 - 6*b**5\/5 - 3*b**4\/8 + 4*b**3 - 3*b**2 - 54*b + 3. Find f such that v(f) = 0.\nAnswer: -1, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -40482 + 40489. Let h = -0.6 + 3.6. What is the nearest to r in h, 5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-486*s + 195*s + 226*s - s**3)*(-7*s - 4 + 4).\nAnswer: 7*s**4 + 455*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Is 51534589 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -2*(-2)\/(-8)*(-711 - -671)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let z(j) = -j + 25. Suppose -20 = 4*g + 5*x, 4*x = 3*g - g - 16. Let y be z(g). Suppose y = s - 8. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide 5197955 by 1039591.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let b = 111 + -111. Let p be (-2)\/7 - (b - 74\/14). Let r = 122 - 127. Sort r, p, 2\/19, 0.08 in decreasing order.\nAnswer: p, 2\/19, 0.08, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: 12 or 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Expand 568336*k**2 - 754*k**3 - 568336*k**2 + (3 + 0 - 4)*(-k**3 + 0*k**3 + 0*k**3).\nAnswer: -753*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let u be (-16)\/8*(-2)\/(12\/9). Let m(z) = 19*z**2 - 3*z**2 - z**u + 4*z**2. Let n be m(20). Solve n = -2*g - 0 - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -13701263.5 rounded to the nearest ten thousand?\nAnswer: -13700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fourth biggest value? (a) 1034 (b) 5 (c) -2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: (6 - 22) + 8 + 5 + 1 + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is (-1)\/((-1)\/(-15))*(-42)\/(-9)*(-2926)\/(-1862)?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is -5451000 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is (-40)\/(-100) + (-18)\/70 + 1 + -1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from dykgffdcykcdcfy. Give prob of picking 1 g and 2 y.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let s(o) = o. Let p(f) = 14*f**2 - 2*f + 2*f. Calculate s(p(r)).\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let u(z) = 27*z**2 + 27*z - 42. Let o be u(-4). What is the highest common factor of 24 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate 1640*i + 1640*i - 291 - 3327*i + i**4 wrt i.\nAnswer: 4*i**3 - 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 64104 to the power of 1\/2, to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: In base 12, what is 9 - -38?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -9 - -4. Let i = -12 + 8. Let y be (2\/i - -1)*1. Which is the smallest value? (a) y (b) f (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten millions digit of 175488026?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 1.6621 + -2.6621. What is the closest to 1\/3 in -2\/21, q, -7\/5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: -26a21 (base 12) to base 5\nAnswer: -3201210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 17*p = 16*p - 5*q + 2627, -4*p + 10490 = 2*q. Calculate the highest common factor of p and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 1057.\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -1 - 2 - (-14 + 25) - -6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 18*z**2 - 5*z**3 + 2*z**3 + 21*z**2 - 63*z**2.\nAnswer: -3*z**3 - 24*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is 16031876 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: Let o = -4049\/20 - -1019\/5. What is the common denominator of -113\/20 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 2961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4*f**3\/7 - 1052*f**2\/7 - 19680*f\/7 + 156816\/7 = 0.\nAnswer: -242, -27, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 1? (a) 1 (b) -1 (c) 0.3 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 55 + -51. What is the first derivative of -2*d - h*d - 7*d + 7*d - 16 wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t(a) = 46645*a - 17771746. Calculate t(381).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Is -2\/21 at most -112\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is 23 minus -27435?\nAnswer: 27458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: In base 4, what is -11 + -2133332303100?\nAnswer: -2133332303111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the millions digit of 27725233?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let d(r) = 3*r**2 + r - 103. Determine d(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from qqllqjqlqqqqjqqqqjq. What is prob of picking 2 q?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*b - 4*h = -12, 3*h = -3*b + 2*h + 3. Let f be 170\/((-20)\/(-4)) + b. Suppose -35*y + f*y + 60 = 0. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 148, 294, 440?\nAnswer: 586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 1467463 to the power of 1\/2, to the nearest integer?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is the seventh root of 1060 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 1432.41 + -1425. Round m to one decimal place.\nAnswer: 7.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-3*k + 5*k - k)*(-1150 - 1763 + 35 + 66 - 325).\nAnswer: -3137*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Is 19 a factor of 16967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Solve -8*o - 58 + 42 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(192) + -1)**2*4 - (sqrt(192) - (5 + sqrt(192) + (sqrt(192)*-2)**2)).\nAnswer: -64*sqrt(3) + 1545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -1.83 - -1.53. Let y = -106 + 111.1. Let t = y + -5. What is the closest to t in 6, -1\/6, h?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} -{"text":"Question: Let g(h) = h**2 + h - 12. Let i be g(-4). Solve -n - 2*p + 4 = i, -6*n - 4*p + 20 = -n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -1163 - -1166. What is the lowest common multiple of 76 and x?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 7:19 PM and 9:59 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: -39.42 - -112.333\nAnswer: 72.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-18)\/9*75\/(-60)*392\/((-21)\/3)?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let o = -21 + 26. Suppose -o*l + 34 = 2*j, l - 2*l = 3*j - 25. What is the highest common factor of j and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v be -4 + 4 + -1 + 4. Let a(z) = -z**3 + 2*z**2 - z. Let w be a(1). Let s be (4\/(-10))\/((-1)\/5). Put s, w, v in descending order.\nAnswer: v, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 20 a factor of 2098354200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (n**(-3)*n)**17*n**(2\/33)*n**(1\/2) assuming n is positive.\nAnswer: n**(-2207\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 96 = 4*z - 2*z. 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: Which is the fifth biggest value? (a) -507 (b) -0.44 (c) 0.5 (d) -0.1 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*i = 4*n + 4*i - 208, 0 = n - 4*i - 37. Calculate the remainder when 182 is divided by n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round -1514604200 to the nearest 1000000.\nAnswer: -1515000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*d + 4 = 3*f, 7*f = 2*d + 6*f. Let q = 5 - d. Let b(g) = g**2 - 3*g + 3. Give b(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 62 - 42. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third biggest value in 4\/3, -0.01, -0.1, -1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 1:22 AM and 12:22 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the mth term of 14861, 10541, 6237, 1955, -2299?\n\"Answer: m**3 + 2*m**2 - 4333*m + 19191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Is 507769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Is 14943277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -0.1 in 4, 5, -0.49, 0.006, 24, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let i(j) = 2*j + 9. Calculate i(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.0000042881 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let x(q) = -q**3 + 168*q**2 - 306*q - 4245. Give x(166).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Round 39.98 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let o(h) be the third derivative of -7*h**6\/120 + 7*h**3\/6 - 7*h**2. Differentiate o(b) wrt b.\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 48 - 46. Suppose -z = m*r, 4*r = z - r. Let q = 2 - 3. Which is the closest to z? (a) q (b) -3\/2 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Work out -0.2 * 7960.\nAnswer: -1592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Divide 301920 by -5920.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 14 - 25. Let h = 6 + d. Let m be 3\/(-18) + h\/24. Which is bigger: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -65*z = -2*b + 837, b - 2*b + 8*b - 27 = 4*b + 3*z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the ath term of 84098, 336435, 756996, 1345781, 2102790?\n\"Answer: 84112*a**2 + a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 208492.\nAnswer: 2, 47, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let f(w) = -7*w**2 + 3. Let c(a) be the first derivative of -50*a**3\/3 + 22*a + 93. Determine 6*c(o) - 44*f(o).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Sort 3, 343, 1426 in ascending order.\nAnswer: 3, 343, 1426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let q(s) be the second derivative of s**7\/1260 - s**5\/24 + 2*s**4\/3 + 11*s. Let b(v) be the third derivative of q(v). Differentiate b(g) wrt g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 15 and 70056465?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is 310030301 (base 4) in base 9?\nAnswer: 355255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let x(q) = q - 4. Let a be x(2). Is -2 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.0001255919 to seven decimal places.\nAnswer: -0.0001256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 91321\/508 - -252\/127. Let j = h + -187. Let l = 49 - 97. Calculate the common denominator of l and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 3579984369 to the power of 1\/3, to the nearest integer?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of 36*l**2*x - 85*l**2 + 23*l*x - 12*l - x + 24 wrt x.\nAnswer: 36*l**2 + 23*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let o(w) be the third derivative of -7*w**5\/30 - 65*w**4\/24 + 20*w**3\/3 - w**2 - 5. Let x(k) = -3*k**2 - 16*k + 10. Let l(c) = 2*o(c) - 9*x(c). What is l(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: 1 (base 5) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 140978025 and 1530.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: 1213 or 2\/17?\nAnswer: 1213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (2*(sqrt(108) - sqrt(27)))\/sqrt(9) - (2 + -6*(sqrt(48) + sqrt(3) + sqrt(3))).\nAnswer: -2 + 38*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 1125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let b = 88 + -50. Suppose 0 = -5*s + 22 + b. What is the greatest common divisor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 215*16\/(-8)*(-9)\/(-1755)*39.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the vth term of -78, -159, -242, -327, -414, -503, -594?\n\"Answer: -v**2 - 78*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 65 + -63. Suppose 3*f - 4*i + 2*i + 1 = 0, -h*i + 6 = 2*f. Does -2\/191 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 28 and 1579550?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Solve -132*x - 3262 = -31*x + 1182 for x.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -137 - v + 86 + 48 + 3.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of -56*f**2 + 44*f**5 + 32*f**2 - 7*f**5 wrt f.\nAnswer: 2220*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 652 minutes before 2:46 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Sort 983, 50.8, -0.3, 5.\nAnswer: -0.3, 5, 50.8, 983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let j(t) = 138*t - 29. Let y be j(17). Suppose 8*s - y = s. List the prime factors of s.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*c + 11 = -3*o + 5*o, -2*c - 3*o + 14 = 0. Let b = 0.01 + -0.03. Let j = 1.98 - b. What is the closest to c in 0.5, -1\/4, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 331567785 to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Solve 3*p - 28 + 38 = 2*f, -3*f - 2*p - 11 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -2*(((sqrt(528) - sqrt(528)*2) + sqrt(528) + sqrt(528))*2)\/(sqrt(1584)*-2*-5).\nAnswer: -2*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 0 + (6 - 3 - -5) + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 6\/28*308\/66?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from nxdgsnsv. Give prob of sequence gx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let d(n) be the third derivative of n**9\/72 + 2*n**5\/15 - 10*n**2. Find the third derivative of d(w) wrt w.\nAnswer: 840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d(w) = 63*w**2 - 46*w + 380. Does 30 divide d(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*x + 18 = 4*x. Put x, 1, -23 in increasing order.\nAnswer: -23, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p(w) be the second derivative of w**4\/12 - 7*w**3\/3 - 44*w**2 + 2*w + 5. What are the prime factors of p(-10)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 9, what is -10065 + -260217?\nAnswer: -270283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 1081 + 123. Is 24 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Determine b so that -57\/5 - 3\/5*b**3 + 31*b + 49\/5*b**2 = 0.\nAnswer: -3, 1\/3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k be -3*(-4)\/6*3. Let f be (12\/(-8))\/(51\/136). Which is the third smallest value? (a) 0.5 (b) k (c) -4\/3 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second biggest value? (a) -70.095 (b) 0.3 (c) -3 (d) 3\/2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -1\/3 in 5\/12, 42243, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: -271*-2176\nAnswer: 589696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second smallest value? (a) -10 (b) -23\/7 (c) 52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose r - 4 = -r. Suppose -6 = 67*t - 69*t - 2*p, t + 5*p + 1 = 0. Solve 0*v - v = -2, -r*a = -5*v + t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h(v) = -2*v**2 + 1. Let x(z) = 160*z**2 - 12. Calculate -10*h(n) - x(n).\nAnswer: -140*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*w = -4*u + 469, -u - 3*w + 0*w + 119 = 0. Suppose 151 + u = 3*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 3.2 - 7.2. What is the nearest to r in 1, 0.9, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 986043491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-31 - 10 + 9)*(2*v**3 - 4*v**3 + 4*v**3).\nAnswer: -64*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 7 in 2, -0.2, -4, -3\/5, -0.4, -821?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is 11 minutes after 6:37 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -z - 3 - 12*z**3 + 13*z**4 - 14*z**4 + 8*z**3 to the form i*z**4 + a*z + d + w*z**2 + l*z**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.65853 times 1014?\nAnswer: 667.74942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -1525, -3051, -4577, -6103?\nAnswer: -7629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is -46 divided by -234?\nAnswer: 23\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let c(m) = 18*m. Let r(s) = -s**3 + 5*s**2 + 8*s - 13. Let t be r(6). Let l be (12\/54)\/(t\/(-9)). Let a(v) = l*v - 3*v + 2*v. What is c(a(d))?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 13\/454944 and -41\/255906.\nAnswer: 4094496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Solve -17*v + 4*w + 55 = -4*v - v - 9*v, 4*v = w + 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -6 - ((17 - 11) + (-30 - -5))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 0 divided by -69.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let o(u) be the third derivative of u**6\/480 + 7*u**5\/120 - 49*u**4\/96 + 17*u**3\/12 - u**2 - 177*u. Factor o(m).\nAnswer: (m - 2)*(m - 1)*(m + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 108 + -99. Solve -7*g = d + 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -5954 + 5956. Solve -46 - v = -8*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 55 + 0 - (-3 - -7) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express -200*m**2 + 198 - 55*m + 199*m**2 + 53*m in the form z + p*m**2 + y*m and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let i(n) = 8*n - 95. Let b(w) = -7*w + 94. Let o(a) = -4*b(a) - 3*i(a). Let p be o(24). Solve 0 = -p*u - j + 19, u + 4*u - 3*j - 3 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -10 - -77. Suppose 0 = -2*l + q + 163. What is the greatest common factor of l and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(a) = -a**3 - 4*a**2 - 7*a - 1. Let k be l(-6). Suppose 359*d - 2341 = -112*d + 49940. Which is smaller: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put 3\/5, 3, 6, -5 in increasing order.\nAnswer: -5, 3\/5, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -0.0661 - 0.0155. Let r = k - -0.08023. Round r to 5 dps.\nAnswer: -0.00137","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence pvl when three letters picked without replacement from {z: 1, u: 1, v: 3, r: 1, l: 2, p: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let n(c) = c**2 - 2314*c. Let t(m) = 349*m**2. What is n(t(r))?\nAnswer: 121801*r**4 - 807586*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let v be (2 + -6)\/((-264)\/12). Let d = 59\/63 + -5\/7. Let a = -11 + 14. What is the nearest to v in a, -0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -79\/8 and -27\/892.\nAnswer: 1784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let s(x) = 37*x**3 - 2*x + 1. Let y be s(1). Suppose -2*c = 1 - 5. Suppose m - 3*a = 18, -c*a = 2*m - 4*a - y. Calculate the remainder when 34 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -2879*d**2 - 17*d**3 + 2879*d**2.\nAnswer: -17*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let r(p) = -p**3 - 4*p**2 - 9*p - 3. Let n be r(-4). Find the first derivative of x**3 - n + 26*x**2 - 20*x**2 + 3*x**3 wrt x.\nAnswer: 12*x**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w(r) = -3*r. Let i(z) be the second derivative of z**6\/20 + 7*z**4\/6 + 3*z**2\/2 - 2*z - 42. Let g(t) be the third derivative of i(t). Give w(g(m)).\nAnswer: -108*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(1700) + -2)*-2)**2 + 4 + ((sqrt(51) - (sqrt(408)*1 - sqrt(408))\/sqrt(8))\/((sqrt(24)\/sqrt(4))\/sqrt(2)))**2.\nAnswer: -160*sqrt(17) + 6837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let n be (-1402)\/10 + 10\/50. What is the hundreds digit of 0*(-3)\/12 - n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(t) = -30364*t + 546565. Give u(18).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -37 + 80 + 9*x - 43 - 7*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 49\/468 and -49\/108.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (2*sqrt(208)*-2*-4*-2 - ((sqrt(13)*3 + sqrt(13) + 1 - 4*sqrt(13)*-1) + 3))**2.\nAnswer: 1088*sqrt(13) + 240464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.0232544906 rounded to 5 decimal places?\nAnswer: 0.02325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 21 = 5*j + 3*k, 3*j - 4 + 1 = 3*k. Find the common denominator of -41\/10 and 202\/(-28) - 1*j\/3.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -20455*q + 20455*q - 4*q**3.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 1\/6 or -4369?\nAnswer: -4369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 c, 1 p, 1 z, and 1 y when four letters picked without replacement from {y: 1, p: 2, c: 1, x: 2, z: 1, w: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Divide -3 by -20873.\nAnswer: 3\/20873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: In base 10, what is -851 + -331484?\nAnswer: -332335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: (45 - -1) + (77 - 207 - -122)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 1136 + -11373\/10. Let o = 21499\/4048 + 3\/2024. Calculate the common denominator of o and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*v**2\/15 + 1264*v\/15 + 596102\/5 = 0 for v.\nAnswer: -681, 1313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 1787333602 to the nearest integer?\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 1721.\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the lowest common multiple of 223000 and 400650.\nAnswer: 1786899000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {q: 3, c: 4, y: 2, v: 2, b: 6, s: 1}. What is prob of sequence bq?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let x be ((-35)\/(-20))\/((-1)\/16). Let l = x - -44. What is the remainder when 47 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide -5180 by 4.\nAnswer: -1295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: -11.2 - -9\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of 3*h*k**3 - 26*h*k + 72537564*h + 1115*k**2 + 48*k - 1 wrt k.\nAnswer: 9*h*k**2 - 26*h + 2230*k + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2 + 0 = -2*x, -13829 = -3*j - 2*x. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g(b) = -953*b - 23402. Calculate g(-24).\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -w = 3, 0 - 1 = -v - w. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the wth term of 7, -16, -83, -218, -445?\n\"Answer: -4*w**3 + 2*w**2 - w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let p(v) be the second derivative of -11*v**5\/10 - 23*v**2\/2 - 11*v. What is the derivative of p(z) wrt z?\nAnswer: -66*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 43892 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: Which is smaller: -1\/29887 or 0?\nAnswer: -1\/29887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the fifth biggest value in 8\/51, 0, -8, -4\/9, -186?\nAnswer: -186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 0.4*-0.0017.\nAnswer: -0.00068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest value in -1\/3, 3.311, 12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let h(k) = 3*k**2 - 9*k - 2. Suppose -2*n - 28 = -16. Calculate the remainder when h(n) is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*v - 10 = -v. Let q = -7 + v. Let c = q - -9. Solve 3*s - c*s - 11 = -4*w, -4*s - 2*w = -10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the sixth biggest value? (a) -2 (b) -0.4 (c) -5 (d) -0.1 (e) -2\/9 (f) 4358\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let w(l) = l**4 + l**3 + l - 1. Let b(g) = -g**5 - 5*g**4 - 5*g**3 - 3*g**2 - 5*g + 5. Let c(r) = -b(r) - 5*w(r). Find the third derivative of c(z) wrt z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 8097203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 6 - 5.9945. What is t rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor -2*o**2\/13 - 1412724*o\/13 - 249473637522\/13.\nAnswer: -2*(o + 353181)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 3 - 30. Let w be 2\/3 - 10620\/k. What is the units digit of (-22)\/55 + w\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 3\/(-4) + 65\/60.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: In base 5, what is 3 - 434?\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let w be (101 + -1)*(-11721 - (-209)\/19). Round w to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the hth term of -12514, -25131, -37748, -50365, -62982?\n\"Answer: -12617*h + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -21 - -22. Which is the biggest value? (a) -0.5 (b) q (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -u - p + 1252, 4*p - 1688 = -3*u + 2072. What is the greatest common factor of 858 and u?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 3864.19146 + 101.338.\nAnswer: 3965.52946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -2.5 + 2. Let y = 0.4 - 0.06. Let i = 0.06 + y. What is the third smallest value in x, 0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Multiply 100 and -36351.\nAnswer: -3635100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is 3 minus 3043?\nAnswer: -3040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (d\/(d\/d**(-2\/5)))**(2\/37)*((d**(-1)*d)\/d)**(1\/70) assuming d is positive.\nAnswer: d**(-93\/2590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Put 2\/3, 4, 0.3, -36\/53, 1 in descending order.\nAnswer: 4, 1, 2\/3, 0.3, -36\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-1 + 1 + 1)*(0*r - r + 2*r) - 21*r - 82*r - 15*r.\nAnswer: -117*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Product of -0.16 and -0.34.\nAnswer: 0.0544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: (-17184)\/88605 - (-2)\/33\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 347612?\nAnswer: 2, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the qth term of -40, -72, -100, -124, -144, -160, -172?\n\"Answer: 2*q**2 - 38*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in p**2 - 2*p**2 - 30*p**3 + p**2 + 27*p**3 + 4*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let o(g) = 53*g - 147. Calculate o(4).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 31\/2650 and -101\/8.\nAnswer: 10600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let h(v) = -v**3 - 3*v**2 + 8*v - 3. Let d be h(-6). Suppose 13 = 2*y - d. Find the common denominator of 97\/20 and (y - 2)\/((-56)\/(-12)).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -4*o + 11 + 17. Let h = o - 3. Sort h, 1\/4, -0.4 in descending order.\nAnswer: h, 1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -196*m = -184*m + 7848. Let a be (-1)\/2 + m\/4. Are 2\/9 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -2 - -7. Suppose -5*c + 1674 = 1479. What is the remainder when c is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (i\/(i**(-10)*i))**36*i**(-3\/13)*(i*i\/(i**25\/i))\/i assuming i is positive.\nAnswer: i**(4378\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let v be (-4 - 344)*((-40)\/12 - -4). Let i = v - -235. Let c be (5\/(-10))\/(2\/(-8)). Solve c*g + 4*a = -g, g - i*a = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*d = 7*d. Solve -4*q - 8 + d = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 2*j**2 + 403*j - 805*j - 2 + 400*j + 2.\nAnswer: 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let k be (-2)\/15 + 840\/2925. Suppose 10 = 3*y + 13. Is y at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 7, what is 120622522 + 5?\nAnswer: 120622530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -27, -31, -53, -99, -175, -287?\nAnswer: -441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 13 = 2*j - 5*z, -4*j = -0*z - 2*z - 18. Suppose -u - 93 = -j*u. Is (u - -3)\/(1\/1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i be (0\/1 + 0)*-1. Suppose -11*v = -1519431 + 53659. Suppose i = 3*f - v - 190748. What is f rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*b + 7 = 1. Solve 2*q - 4*y + 26 = 0, -8 = -0*y - b*y for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(t) = 154*t**2 + 92*t + 20. Calculate the smallest common multiple of l(-8) and 6.\nAnswer: 27420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 11851 is divided by 1408.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Express 62 - 4*k + 3*k**3 - 6 - 18 in the form c*k**3 + d + n*k + h*k**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 9*r = 131 - 104. Solve -r*b = 5*v - 12 - 15, -b = -4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t(n) = n**2 - 42*n + 3. Let m be t(42). Let i be 9\/(0 - 3) + 5. Suppose 3*z = i + 10. Solve z*s - 3*s - 1 = -2*b, -5*b - 14 = -m*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 9*g**5 - 16532*g**2*r**2 + g*r**2 - 2*g*r - 3*r**2 + 2*r - 8698 wrt g?\nAnswer: 180*g**3 - 33064*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (k**2\/k*k**(-5\/7))\/(k**(-1\/4)\/k)**(-20) assuming k is positive.\nAnswer: k**(-173\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let i(s) = 6*s**2 + 8*s - 5. Let o be i(-7). Suppose -4*n + 0*n + 5*t = 10, 6 = 3*n + 3*t. Suppose n = -u + 2*u - o. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r be 3*(-7)\/(-7) + 122\/(-42). Which is the closest to -1? (a) -0.2 (b) -17 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(s) = -23*s**2. Let q(m) = -32 + 52 + 3*m**2 - 20. What is f(q(r))?\nAnswer: -207*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = a - 4*r - 31, -a + 137 = 2*a - r. What is the remainder when a is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 36897959729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from cqcq. What is prob of picking 1 c and 1 q?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Put 9, 1, 0, -168, -14 in decreasing order.\nAnswer: 9, 1, 0, -14, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let g(s) = 14551*s + 873199. What is g(-60)?\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Express (-3*g**3 - 4*g**3 - 18*g**3)*(-95*g + 89*g - 139*g) in the form h + j*g**4 + c*g**3 + b*g + v*g**2 and give j.\nAnswer: 3625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate ((-4)\/63)\/((-172)\/(-258)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-1 + sqrt(128) + sqrt(288) + -2 + sqrt(16)\/(sqrt(72)*4))*-3.\nAnswer: -241*sqrt(2)\/4 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let f be (30\/9 + -2)*3. Suppose f*w - 2 = 3*w. Suppose -g + 24 = 5*b - w*g, 0 = -2*g - 8. Solve -3*z + b*z + 2 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(x) = 56*x**2 + 2*x + 1. Is k(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of -78*g - 7*g**5 + 17*g**5 - 8*g**2 + 78*g wrt g.\nAnswer: 600*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(p) = -p**3 - 70*p**2 + 1299*p + 2034. What is x(-85)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: 5 - (-10 + (-8 + 9 - -8))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*c = 2*s - 19, 1 - 23 = -5*s + c. Calculate the greatest common factor of s and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 1765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((v\/v**(-1\/4))\/(v*v*v\/v**4))**(25\/2))**(5\/8) assuming v is positive.\nAnswer: v**(1125\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let x be (21 - (7 + 15))*-18. Suppose 5*w - 4*y = -3*y + 1711, 3*w = 4*y + 1030. Calculate the highest common divisor of x and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the eighth root of 48297085 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let k be -4 - (-7 + 3 - 1). Let f be 37 - ((-2 - k) + 5). Suppose -3*c = 7*s - 2*s - f, 5*c - 37 = -3*s. Solve 0 = -s*u - 0 - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*s + k + 7268 = 0, 6 = 3*k - 6. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 6\/(-4)*6\/21*7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*n = 9, n = 3*i - n + 138. Suppose 0 = 4*s - 3*s - 63. Let v = s + i. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 199 divided by -1453.\nAnswer: -199\/1453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 c, 1 x, and 1 v when three letters picked without replacement from ixxxcggxcvfgxgf.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*p = -4*a + 100, -5*p - 193*a + 126 = -189*a. Solve 8*y + p = 21*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -3*r - 5 - 4. Let j be r\/1 + 487\/156. Let p = j - 1\/26. Is 0 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -34001 - -34001. Let m(l) = l**3 + 3*l**2 - 6*l - 4. Let r be m(-4). Solve -4*i = u, -5*i + 4 = r*j - 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 4*f + 19*d - 15*d - 36, -2*d = 5*f - 45. What is the remainder when 23 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((a**(-18)\/a**16)\/(a**11)**(-33))**48 assuming a is positive.\nAnswer: a**15792","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (5850\/2860)\/((96\/(-44))\/(-4)).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let n(x) = -4*x**2 - 52*x - 95. Let d(m) = -m**2 - 17*m - 32. Let k(p) = 21*d(p) - 6*n(p). Factor k(w).\nAnswer: 3*(w - 17)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -8467985360 rounded to the nearest 1000000?\nAnswer: -8468000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -390140, -1560617, -3511412, -6242525, -9753956?\nAnswer: -14045705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Add together 696677407394 and -27.\nAnswer: 696677407367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-152*a + 291*a - 101*a)*(-5 - 1 + 3).\nAnswer: -114*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-2*75\/70)\/((-145)\/1218).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -j = -2 + 3, -3*c - j + 95 = 0. Calculate the lowest common multiple of c and 44.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 1194503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 30 and 19906230.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is five eighths of a millisecond in microseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -3*b**3*d**2*f**2 + 3*b**3*d*f**2 - 4*b**2*d*f + 2*b*d*f**2 + 3*d**2*f**2 + 2*d**2*f wrt d?\nAnswer: -6*b**3*f**2 + 6*f**2 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest value in -2, 1, 0.2, 0.6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Is 15222041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Expand (171 + 63 - 5)*(-24*v**2 + 29*v - 29*v) + 0*v + 0*v - v**2.\nAnswer: -5497*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 477 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0*p - u + 6 = p, 3*u = -p + 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is 41815456 to the power of 1\/2, to the nearest integer?\nAnswer: 6466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -49255 + 126043 = 316*l. Let w be (-3)\/2*-18*1. Calculate the highest common divisor of w and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u be ((-9)\/6)\/(-9 - (-2 + 1)*3). Let n = -0.5 - 5.5. Which is the closest to 6? (a) -3\/4 (b) -0.1 (c) u (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -116.33 + 2.33. Let t = 127 + u. Which is the nearest to t? (a) 0 (b) -0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: 62705 divided by 12541\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is the second biggest value in 2\/5, 8\/7, 26\/9, -3\/4, 5, -3075?\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {i: 5}. What is prob of sequence iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: In base 3, what is 11121022010 + -1121?\nAnswer: 11121020112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Is 388 a factor of 443265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence euue when four letters picked without replacement from {u: 17, e: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third smallest value? (a) -2\/19 (b) -3 (c) 0.6 (d) -3\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 45354045?\nAnswer: 3, 5, 11, 17, 19, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the rth term of 12273, 12266, 12247, 12210, 12149, 12058?\n\"Answer: -r**3 + 12274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -3215, -6437, -9659, -12881, -16103?\nAnswer: -19325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Solve -25 = -19*y + 24*y - 4*l, -14*y + 4*l - 34 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 29971365 divided by -78665.\nAnswer: -381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Is 61545\/8 smaller than 7692?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 209 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: -653 (base 9) to base 4\nAnswer: -20112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third smallest value? (a) 1 (b) -5 (c) 2\/5 (d) -40 (e) -1.7 (f) -156\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -0.23 in -3\/4, -0.1, -0.4, 7\/13, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the nth term of 23, 29, 33, 35, 35?\n\"Answer: -n**2 + 9*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 2\/5? (a) 0 (b) -5 (c) -2\/5 (d) -208\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Solve 3*s = 4*g - 1, g - 41 + 37 = -3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Solve 22353 = 248*g - 1301*g - 35562 for g.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is 11010110001010110011110 + 100?\nAnswer: 11010110001010110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 14 - 14. Which is the nearest to -2\/7? (a) h (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 36\/(-2)*134\/402 + (23 - 3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 2193 and 969?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -r + 6*r = 3*u - 2, 3*r = 5*u - 14. Which is bigger: r or -8\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h(c) = -7*c - 1. Let y(d) = 15*d + 2. Let t(o) = -13*h(o) - 6*y(o). Let n be t(-7). Let v = n - -21. Is 15 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Determine o so that -2*o**2 - 6\/5 - 14\/5*o - 2\/5*o**3 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort -0.1, -1, -5\/6, 0.1, 8, -75 in ascending order.\nAnswer: -75, -1, -5\/6, -0.1, 0.1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of -1 and 0.015?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*a + 3*p = 310, 0 = 2*a + 2*a + 2*p - 246. Let t = a - 36. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 730937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is 37 divided by -11?\nAnswer: -37\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let q be 0 - (6\/3 - 6). Let k be -1*(-12)\/2 - q. Solve 3*t + 13 = 5*m, 2*m = -k*t + 13 + 5 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-68)\/(-306)*9\/5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: -1 (base 3) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-1 + -2 - (-4 - -12) - (-431 + 421)) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is a4cde8 (base 15) in base 10?\nAnswer: 7839893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (x**(2\/7))**(-5\/3) assuming x is positive.\nAnswer: x**(-10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let q(a) be the third derivative of -a**4\/24 - a**3\/2 + 15*a**2 - 14*a + 3. Determine q(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w(u) = -2*u**2 - 4*u + 3. Let g be w(2). Let i = -8 - g. What is the common denominator of i\/2*2\/(-6) and 79\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(i) = 3*i - 8. Suppose 30*l = 26*l + 16. Calculate m(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the lowest common multiple of 12 and 876.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the first derivative of -139*k**3 + 120?\nAnswer: -417*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: 0.58 times -24210.6\nAnswer: -14042.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let u(k) = 8*k - 4. Let m = 9 - 6. Suppose -15 = -2*r - m*r. Let h be u(r). Solve 0 = a + 4*a - h for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*m - 1 = -3*v + 13, -5*v - 4*m + 2 = 0. Suppose -2*a - v = 2*t, 3*a - 5*t - 14 = 5*a. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(k) = 3*k**2 + k**2 + 24*k**2 + 8*k**2 - 14*k**2. Let u(x) = -6*x + 11. What is u(r(o))?\nAnswer: -132*o**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Does 36 divide 1234667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is 3 + (-19 - -22 - (0 - -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the wth term of -15997, -63936, -143835, -255694, -399513, -575292, -783031?\n\"Answer: -15980*w**2 + w - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 180352619?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (9*u + 8*u - 4*u)*(-4*u + 2 - 2)*(0 + 7 + 0) - 4*u**2 + 2*u + u**2 + u**2 to the form z*u**2 + g*u + s and give z.\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 15984 is divided by 176?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Is 260171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 31 + -32. Which is the closest to 2? (a) -2\/7 (b) l (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 220 is divided by 50.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is -4 minus 1277?\nAnswer: -1281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let u be (0\/(-1))\/(-1 + 3). Suppose 5*s + 3*w - 15 = u, -3*s + 4*w = -2 - 36. Suppose s*p - p - 35 = 0. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p be (-4 + 4)\/2 + -2. Let z(f) = 3*f**2 + 3*f + 3. Let j(v) = v**3 - 2*v**2 - 2*v - 2. Calculate p*z(b) - 3*j(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {i: 3, u: 2, z: 10}. What is prob of sequence zu?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the hth term of 62, 133, 254, 431, 670, 977, 1358, 1819?\n\"Answer: h**3 + 19*h**2 + 7*h + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let r(q) = -4*q**3 - 30*q**2 - 28*q - 9. Let n be r(-6). Which is greater: -58 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 16 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Round -28.99 to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 3.79 - 4.79. Let n be (70\/(-8))\/7 - 1 - 1. Is f not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p = 30 + -14. Solve 2*d + 4*s + p = 2*s, -d + 8 = -3*s for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 1\/6 of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -m = -0*m. Let b = 2 + m. Sort 4, 1, b in ascending order.\nAnswer: 1, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 604 divide 889564556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Put -4, -1, -3, -8, -7, -2, -10 in ascending order.\nAnswer: -10, -8, -7, -4, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 35 - 11. Let r = -10 + o. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(v) = 4*v**2 - 7*v - 28. Let q be n(8). Differentiate -119*i**2 + 66 - q + 88 with respect to i.\nAnswer: -238*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -k**2 - 5*k**3 + 38*k**3 + 20*k**3 + (k - 2*k + 3*k)*(-4*k**2 + 4*k**2 - k**2) to v + s*k**2 + u*k**3 + a*k and give u.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Factor 3*u**3\/2 + 583779*u**2\/2 + 28398367233*u\/2 - 142006431015\/2.\nAnswer: 3*(u - 5)*(u + 97299)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let p(r) = -r**3 - 8*r**2 - 7*r - 1. Let m be p(-7). Which is bigger: m or -2\/41?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {g: 4, b: 3, w: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let i(d) = 2417*d - 4848*d + 2424*d. Let c(l) be the second derivative of -2*l**3\/3 + l. Let m(s) = -s. Let x(b) = c(b) - 6*m(b). Determine i(x(v)).\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Does 3 divide 661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let x be (0 - 0 - -4)\/1. Suppose -478*v + 25 = -473*v. Suppose 0*u + x*o + 1 = -u, -30 = 5*u - v*o. Let a(h) = h**3 + 5*h**2 - h + 1. Calculate a(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*q + 475 = 8*q + 5*h, 3*q - 4*h - 313 = 0. Suppose -c + 5*n + 62 - 5 = 0, 0 = 2*c - 5*n - q. What is the highest common factor of c and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 20444332 to the nearest integer?\nAnswer: 4522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 3:47 PM and 12:33 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 19*d**3*i - 2*d**3 - 606*d**2*i + 10*d**2 + 441566*d - 5*i + 40 wrt d.\nAnswer: 114*d*i - 12*d - 1212*i + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 1 = -0*s + s + 2*q, s - 7 = q. Factor -t**4 + t**2 + 2*t + 5*t**2 - s*t**2 - 2*t**3.\nAnswer: -t*(t - 1)*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 5\/4? (a) 0.04 (b) 0.1 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let u(n) = 5*n. Let s(i) = -68*i**2 - 3 - 38*i**2 + 1 + 2. Calculate s(u(h)).\nAnswer: -2650*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (w*w**(-2\/7))**(-1)\/((w\/(w*w**0*w*w))\/(w*w*(w\/(w*w*w**(-9)*w)*w)\/w*w)) assuming w is positive.\nAnswer: w**(79\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Express (4*g**2 + 6*g**2 - 5*g**2)*(g**2 - 4*g**2 - 2*g**2) in the form u + p*g**2 + k*g**4 + z*g**3 + t*g and give k.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -s + 5*z - 2 = 0, 3*s - 14 + 2 = -3*z. Let n(u) = 3*u**2 - 2*u - 1. Let c(l) = 2*l**2 - 2*l. Let d(r) = -4*c(r) + 3*n(r). Determine d(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*r - 1270 = -3*r - 5*s, -3*s - 3 = 0. Suppose 0 = -246*h + r*h - 27. Do h and 8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 22 + -14. Let o = h + -11. Let m(y) = -y + 2. Calculate m(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the seventh smallest value? (a) -6 (b) -4\/7 (c) -33 (d) 2\/7 (e) -0.5 (f) 0 (g) 50\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -2\/24451 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.256628 to two decimal places.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let d be 58\/10 + (13 + 7)\/(-4). What is the nearest to -0.1 in d, -18\/31, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put 955, 1, 2, 0, -2, 6, -17 in descending order.\nAnswer: 955, 6, 2, 1, 0, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let b = 61.01 + -54. Let x = -7 + b. Let j = x + -0.11. Is j less than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*u + 9 = m, m - 11 = -3791*u + 3796*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 249*f - 9438 - 5004. What is the greatest common divisor of f and 10962?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of 2355*v - 2735.\nAnswer: 2355","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is 17\/4 of a millennium in years?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Does 10 divide 12188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let q(u) = -10*u - 2. Calculate q(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of -237 - 301*v + 2*v**2 - 290*v - 306*v + 914*v wrt v?\nAnswer: 4*v + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Product of -1.5 and -0.27.\nAnswer: 0.405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -156*y = 5*o - 151*y - 537370, 3*o = 4*y + 322443. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(h) = -h**2 - h + 1. Let x(c) = -23*c**2 + 8*c + 13. Let u(b) = 2*r(b) + x(b). Let g be u(-16). Let j = -981 - g. Round j to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand -g**5 - 2*g**5 + 0*g**5 + (-1 + 3 - 3)*(0 + 0 + g**5) + 1 - 1 + 2*g**5.\nAnswer: -2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: In base 15, what is a0 - b?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from qqzzqq. Give prob of sequence qqz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 963 is divided by 160?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is 24854\/(-6936)*(0 + -2 + (-646)\/19)?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 1 + (sqrt(17) + 1*sqrt(17) - sqrt(17)) + sqrt(153)\/(sqrt(81)\/sqrt(9)) + 4.\nAnswer: 5 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Solve -1092*n - 5268 = 17017 - 106369 for n.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Add together -3059733566 and 55.956.\nAnswer: -3059733510.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let b(f) = f**2 - 3*f - 2. Let w be b(-2). Suppose 0*k + 5*k + 2*k = 0. Suppose -200 = -n - l, -3*n + w*n - 4*l - 991 = k. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (16 + 7 - 3)*(1556 - 1556 + 26*y)*(0 + 1 + 1)*(0 - 1 + 0 + 2*y).\nAnswer: 2080*y**2 - 1040*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((h\/(h*h**2))**(-35))**(-9) assuming h is positive.\nAnswer: h**(-630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let w(l) = 2*l. Let j(f) = f + 1. Let b(q) = -j(q) + w(q). Let y be b(3). What are the prime factors of (7 - y) + 0 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the sth term of -13, -17, -19, -19, -17, -13, -7?\n\"Answer: s**2 - 7*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (124\/(-6))\/(1813\/1029 + (-4)\/(-7) + -2)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -2*m**4 - 140*m**3 - 2*m**2 + 592*m - 89.\nAnswer: -24*m**2 - 840*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 9 - 8.7. Which is the second smallest value? (a) 2 (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(o) be the second derivative of -o**5\/120 + o**4\/12 + o**3\/2 - o. Let y(s) be the second derivative of u(s). What is the first derivative of y(b) wrt b?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 20 a factor of 1620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is 409938 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 5 - 0. Suppose 2*j + 2*d - 12 = 0, j + 0*d = -2*d + 8. Let l(c) = 6*c - n*c - j*c + 8*c. Let o(f) = -4*f. Calculate l(o(q)).\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let d(x) = x**3 + 16*x**2 + 4*x + 17. Let k be d(-16). Let w = k - -28. Let f(h) = h**3 + 19*h**2 - 2. Let o be f(w). Sort o, 18, 0 in decreasing order.\nAnswer: 18, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert 48513.28m to millimeters.\nAnswer: 48513280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (4\/21)\/((-26)\/(-39))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Expand (3 - 3 - 2*c**2)*(0 - 1 + 0)*(1 - 1 - 2) + 1 - 1 + c**2 + (1 + 0 - 3)*(-3*c - 2*c**2 + 3*c) + 0*c**2 - 2*c**2 + 0*c**2 + 3*c**2 - 3*c**2 + 2*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*q = 3*l + 2145, -2*l = 4*q + 393 + 1007. Calculate the common denominator of -71\/14 and l\/160*(-4)\/(-3).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -8268 divided by 2067?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -12 - 3. Let w be ((-6)\/(-4))\/(x\/1120). What is the remainder when 27 is divided by (-3)\/2*w\/12?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c be (-10)\/(-15) + (-316)\/6. Let n = 52 + c. Let i = n - -113. What are the prime factors of i?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 85687572577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten millions digit of 30264291?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 14 + 8*z - 19 + 5.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let f(k) = 16*k**3 + 4*k**2 + 4*k + 7. Let l(o) = 8*o**3 + 2*o**2 + 2*o + 3. Let i = 5930 - 5926. What is i*f(h) - 9*l(h)?\nAnswer: -8*h**3 - 2*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 1687544 is divided by 1687475?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.4599923 millilitres in litres?\nAnswer: 0.0004599923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let s(m) be the second derivative of 0*m**3 - 4\/15*m**6 + m + 0 + 1\/6*m**4 - 3\/10*m**5 + 0*m**2. Find k, given that s(k) = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -570*y - 1016 + 6299 + 10648 = -4019 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -65 + 61. Which is the second smallest value? (a) y (b) -0.06 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*w = -w - 45. Let q be 2\/2*4\/(-1). Let t be q\/12 - (-92)\/6. What is the highest common divisor of t and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -34131*k - 8340 = -34548*k for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let w(b) = -3*b**3 - 2*b**2 + 2*b + 2. Let p be w(-2). Suppose 89 = -5*j - 1. Let n = 0 - j. Solve 7*g - 4*g - n = -3*u, 4*g - u - p = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 56.7 - 56. Let f = q - 0.3. Sort f, -2, -6, 1 in increasing order.\nAnswer: -6, -2, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((-2*sqrt(216)*-6 - (sqrt(216) + -6*(sqrt(216) + sqrt(216)*-1 + sqrt(216) - sqrt(216)) + sqrt(216)))\/(sqrt(80)\/(sqrt(20)\/sqrt(2)*-3)))**2*-6.\nAnswer: -145800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 3\/(36\/82) + (-55)\/66?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Expand -1 - 5*f**4 - f**3 + f**3 + (0 + 0 + f**2)*(0*f - f**2 + 0*f) + (2 + f - 2)*(3*f - 9*f**3 - 5*f + f).\nAnswer: -15*f**4 - f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*d + 1 = 2*d. Let p = d - -3. What is the derivative of -z - p + 4 + 0*z wrt z?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(y) = 19*y**2 + y. Let t be i(1). Let a = 94 - t. What are the prime factors of a?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find g, given that 5*g**4 - 178680*g**3 + 1596327120*g**2 = 0.\nAnswer: 0, 17868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let o be (4 + -2)\/((-2)\/(-8)). Let u be 10*(-7)\/((-70)\/o). What is the greatest common factor of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p(t) = 2*t**3 - 3*t**2 - 2*t - 2. Suppose 14*b - 20 = 18*b. Let y(z) = -4*z**3 + 7*z**2 + 5*z + 5. What is b*p(f) - 2*y(f)?\nAnswer: -2*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -6*j + 10*j. Solve -a - 4*n + 5 = -12, j = -2*a - 4*n + 18 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y be 0*(0 + (0 - -1)). Suppose 5*o - 143 - 67 = y. Let p = 26 - -2. Calculate the greatest common factor of o and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-200*3\/(-4)*-1)\/((-411288)\/(-274192))?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -15*h**6 + 7*h**4 - 7*h**4 - 5649*h**2 + 6847*h**2 + 8*h**4 wrt h?\nAnswer: -1800*h**3 + 192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t(x) = -5*x**3. Let h be t(-1). Suppose 3*y = -h*i - 227, -i = 3*y + i + 224. Let l = -36 - y. Calculate the remainder when l is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r be 9\/(-40) - 11\/(-88). Sort -5, 0, r, 2\/17 in ascending order.\nAnswer: -5, r, 0, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 2599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let c = -9426 - -15337. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 9:20 AM and 12:00 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Expand (h**4 - 20*h**2 + 22*h**2 - 4 + 0*h**2)*(-2 + 2 + 2 + 3 - 5 + 4 + (1 - 5 + 2)*(-1 + 1 - 1)).\nAnswer: 6*h**4 + 12*h**2 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let r(s) be the second derivative of -s**5\/5 - s**4\/4 + 2*s**3 + 25*s. Let j be r(12). What is j rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -82*g + 2626 = 16*g + 3*g. What is the highest common factor of 104 and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find i such that -4*i**5\/7 + 64*i**4\/7 + 599*i**3\/7 - 1241*i**2\/7 - 6922*i\/7 - 440 = 0.\nAnswer: -7, -5\/2, -1\/2, 4, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -o = -3*o. Suppose o*r - 4*y + 4 = 4*r, 4*r = y + 9. Suppose 0 = -r*l + 4, -4*i + 5*l - 1 - 1 = 0. Solve 4 = 3*h - i*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: 63 divided by 1\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 52*i**3 + 71*i**3 - 35*i**3 + 84*i**3 - 23*i**3.\nAnswer: 149*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 432329 and 1067.\nAnswer: 4755619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 14791266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: (-11 - (96\/(-14))\/(45\/70))\/((-79)\/(-6))\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(l) = l**3 + 7*l**2 + 5*l - 4. Let g be x(-6). Let f(i) = 29*i - 3. Is f(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 614966.7 millilitres in litres?\nAnswer: 614.9667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*q - 5*i = -4*q + 5, -5*q = -2*i - 19. Suppose 3*h + 113 = 5*f - 1, 2*f - q*h = 57. Suppose -152 = f*v - 25*v. What are the prime factors of v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} -{"text":"Question: Let p(s) = -99 + 28 + 64 + 62 + 6*s. Let u be p(-10). Let c(t) = -t**3 - 3*t**2 + 6*t - 7. What is c(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 48*y - 23*y = -42*y. Solve 56*u - 44 + 380 = y for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*m = 3*m. Suppose m = -3*p - p - 12. Let z be 1\/(6\/(-8)*14\/21). Sort p, 4, z in ascending order.\nAnswer: p, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(m) be the first derivative of -m**3\/3 + 7*m**2\/2 - m - 1. Let u be (2 + -2 + 2\/(-6))*-9. Suppose u = k - 3. Determine s(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 3*o + 5*z - 83, 4*o + 3*z = 3*o + 21. Find the common denominator of 18\/o - (-105)\/(-16) and -29\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(w) = 4*w**3 - 9*w - 4. Let m(i) = 9 + 6 + 3*i**3 + 3*i**3 - 14*i - 36 + 15. What is -7*k(f) + 5*m(f)?\nAnswer: 2*f**3 - 7*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 16 - 11. Solve -2*k + 0*a + a - 13 = 0, 0 = -5*k - 5*a + t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 0.34024 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 24*x - 151*x = -10*x - 8190. What is the smallest common multiple of x and 532?\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: 7\/28*-3 - 5\/(400\/(-188))\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let s be (-1)\/8*2 + 0. Suppose 16*w = 58 + 38. Suppose 0 = -4*f - 3*m + w, f + 2*m - 6 = -m. What is the nearest to f in s, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*u = -4*y + 3036, 13*y + 4 = 14*y. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the smallest value? (a) -2\/19 (b) 42 (c) 0.5 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Is 1172527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Solve 2*w = n + 6, 1965*n - 1960*n = 2*w - 70 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from muggufbfufgbfgfff. Give prob of picking 1 f, 2 g, and 1 m.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 929101?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let t(m) = 7*m + 2. Give t(-4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 33824800 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let h(x) be the second derivative of -x**3\/6 + x**2\/2 - 25*x + 2. Let c(l) = 2*l - 8. Let o(b) = -1. Let n(k) = -c(k) + 3*o(k). Determine 3*h(m) - n(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((((i*(i*i**(5\/4)*i)\/i)\/i*i)\/i)\/i*i\/((i**(2\/9)\/i)\/i*i)*i**(-1\/11)\/(((i\/(((i*i**(3\/2)*i)\/i)\/i)*i)\/i)\/i))**(1\/20) assuming i is positive.\nAnswer: i**(1757\/7920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*w - j = 12, -3*w + 4*j + 64 - 55 = 0. Let z be 5*(-1)\/((-1)\/1). Solve -z*n = 5*t + 30, w*t + 2*n - 8 = 6*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 695b (base 14) in base 15?\nAnswer: 5659","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Sum 21531 and -2429.25.\nAnswer: 19101.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.1 times -4853?\nAnswer: 485.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is 1 - 1 - (15 - 4) - 4 - 11?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -12*u + 47*u + 105 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 1? (a) -1 (b) 0.2 (c) -1\/2 (d) 0 (e) -3\/374\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (u**(1\/7)\/u)\/u**5*u**1*u*u*u\/u**(-2\/15)*u assuming u is positive.\nAnswer: u**(-76\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -53 + 52.9. What is the nearest to -1\/3 in 0, 2\/11, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -3*t + 3*t + f + 6*f - 49, -3*t + 4378*f - 4 = 4380*f for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -127\/153540 and -89\/10236.\nAnswer: 153540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 3 + -2. Let b be -4 + 3 + 0\/(-2). Let l be (-6)\/4 + 1 - b. What is the nearest to m in l, -2, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 269069698 to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let f(p) be the second derivative of 2*p**2 - 1\/6*p**3 + 0 + 2*p. Suppose -4 - 2 = -2*m. Calculate f(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.693116 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let n(c) = c**3 + 4*c**2 - 3*c - 25. Let a be n(-5). Let l = 39 + a. Solve -l*d = -9*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 689 minutes before 3:08 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let c(f) = 19*f**3 + 2*f**2 + 26*f + 7. Let w(p) = 11*p**3 + 2*p**2 + 14*p + 3. Let v(k) = 5*c(k) - 9*w(k). Factor v(u).\nAnswer: -4*(u - 1)*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i = -649 - -648.999998408. What is i rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let i be 12\/((-20 - -21)\/(-4 + 5)). Solve -4*z - 20 = 16*m - i*m, 0 = -z + 3*m + 11 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 0.44 + 5.06. Let a = l - 5.97. Round a to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 8887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let p(u) = -u**2 - 8*u - 11. Let f be p(-3). Solve -f*t = -6*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of -0.5 and 3775.3?\nAnswer: -1887.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let a(f) = f**2 - 8*f - 4. Let m = 3 - -6. Let l be a(m). Suppose g - l*g - 72 = -5*x, 4*g = x - 8. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*s = -1 - 5. Suppose 0 = -7*k + s*k. Suppose k = -0*m + 5*m - 30. What is the greatest common factor of m and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i be (-4)\/1*2\/(-4). Suppose -14*y + 51 = -33. Suppose 0 = -y*c + 8*c - 38. Solve z - 3*w - c = 0, 9 = -i*z - 2*z - 5*w for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -119*i**4 - 90*i**4 + 2*i**2 - 23*i**4 + 60*i**4 - 4*i**2 + 54 wrt i?\nAnswer: -4128*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 2774 and 177682.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 96\/(-1088)*12\/18?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*v + 1 = -5, -3*v + 171 = 3*r. Suppose 5*j - 141 = -2*x + 3*x, 2*x - r = -2*j. Solve 0 = -4*k - 4*i + j, 4*k - 12 = -2*i + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 75*j - 62*j - 65 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Is 28 a factor of 93856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let g(d) = -d**3 + 23*d**2 + 52*d - 226. What is g(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {k: 2, w: 1, x: 1, d: 2}. What is prob of sequence kkx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Simplify m\/(m\/m**5)*(m**(-11)\/m)\/m*(((m\/(m*m*m**2))\/m)\/m)**(-15\/2) assuming m is positive.\nAnswer: m**(59\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (i**(-4\/15)\/(i*i**(-3\/22))*i\/i**(-16)*i\/(i\/i**16))**(-40) assuming i is positive.\nAnswer: i**(-42068\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let m be ((-4)\/(-5))\/((-1)\/(-5)). Suppose f - m = 4. What is the least common multiple of f and (-32)\/(-20) - 6\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find r such that 252*r**3 + 191528*r**2 + 6080*r = 0.\nAnswer: -760, -2\/63, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let r(k) = 184127*k. Let q(w) = -29*w + 1. Calculate r(q(x)).\nAnswer: -5339683*x + 184127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let x(w) = 3*w + 9. Let i be x(-6). Let m(g) = -g**3 + 7*g**2 - 6*g - 2. Let a be m(6). Let s = a - i. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third biggest value? (a) -0.05 (b) -0.478 (c) 2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 7 + -22. Let f be 3\/1*(-80)\/k. Solve -4*w - f = 0, 3*m + 8 = 2*m - 2*w for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(z) = 3*z**3 + 2*z + 2. Let f(w) = -16*w**3 - 11*w - 11. Suppose -j = -1 + 2, -3*p + 62 = 4*j. What is p*c(i) + 4*f(i)?\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let w(z) be the second derivative of -z**7\/1260 + 11*z**4\/4 + 18*z. Let p(o) be the third derivative of w(o). Let j(y) = y. Give p(j(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: How many days are there in 1794.0945 hours?\nAnswer: 74.7539375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -272 - -271.871. Let u = 0.441 - p. Round u to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(a) = -164*a**3 - 18*a**2 - 16*a - 2. Let j be r(-3). Calculate the remainder when j\/55 + (-68)\/20 + 3 is divided by 32.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: 5020486 or 20081939\/4?\nAnswer: 5020486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-2 + sqrt(143)\/sqrt(11))**2*4.\nAnswer: -16*sqrt(13) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let q(u) = 5*u. Let y(x) = -10*x. Let i(a) = -5*q(a) - 2*y(a). Let v be i(1). Sort -2, v, -4 in descending order.\nAnswer: -2, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 13 = -2*g - 3*g - 2*z, -5*g - 5*z - 25 = 0. Let b(x) be the second derivative of x**4\/12 - x**3\/3 + x. Let c(u) = u. Determine g*b(o) - 2*c(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 6:04 PM and 5:04 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(153) + (sqrt(153) - (sqrt(153)*-1*-5 + sqrt(153)) - sqrt(153)) + sqrt(153) - sqrt(153))\/(-3*sqrt(9)*-4))**2.\nAnswer: 425\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 1548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 143 + -127. Calculate the remainder when f is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 32*j - 832 = 0, -2*d + 30 = 2*j - 11 + 10 - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is 1\/4 of a day in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the mth term of -32, -3, 28, 61, 96, 133?\n\"Answer: m**2 + 26*m - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Expand ((1 - 1 + 1)*(2 + 1 + 7) + 2 + 72 + 16)*(0*j**4 + j**4 + 0*j**4).\nAnswer: 100*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of -533*q**2*w**2 + 4*q**2*w - 2*q*w - 2*w**2 - 25897*w wrt q.\nAnswer: -1066*q*w**2 + 8*q*w - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let c(q) = -7*q**2 + 2*q - 8. Let f(d) = d + 1. Let g(m) = -c(m) - 3*f(m). Let b(a) = -20*a**2 + 14*a - 14. Give -5*b(s) - 14*g(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let t(f) = -19*f**2. Let u(i) = -i**2 - 12599*i - 6. What is u(t(w))?\nAnswer: -361*w**4 + 239381*w**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -4 + 7*v + 6 - 4 + 1 + 2*v**2 to m*v + f + y*v**2 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the th term of -78, -705, -2442, -5853, -11502?\n\"Answer: -94*b**3 + 9*b**2 + 4*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 1469178 + 2806313 = -11*u. Suppose 3*l + 433362 = l. Let w = u - l. Round w to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 3*f - 3*m, -3*f - 7*m - 7 = -3*m. Let u be (-1)\/(-2) - f\/(-2). Let g(q) = -q**3 + q**2 + 51. What is the remainder when g(u) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(t) = 2*t. Let h(l) = 38258*l**2 - 470*l + 235. Let g(n) = 327*n**2 - 4*n + 2. Let m(f) = 705*g(f) - 6*h(f). What is i(m(u))?\nAnswer: 1974*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*l + 29 = -267*u + 272*u, -l - u + 7 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose s + 3 = -0*s, j + s = 105. Suppose -86*c + j*c = 1980. Calculate the least common multiple of 18 and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 5 + -3*(0 + (sqrt(1053) - (sqrt(1053) + -4)) + -3 + 0)**2*-2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Round 8.634 to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Expand (25*h - 25*h - 28*h**2)*(-8 + 2 + 0)*(h - 1 + 1).\nAnswer: 168*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -2\/3 in -18.1, 1\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 17880*h**3*j*q**2 + 14*h**3*j*q + 227*h**2*j*q**3 + 13*h*j*q - 10*h*q - 2*j + 102*q wrt q.\nAnswer: 35760*h**3*j + 1362*h**2*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let m(q) = q**2 - 14*q - 11. Let r be m(15). Let z be (-2863)\/273 - -10 - r\/(-26). What is the smallest value in -0.4, z, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 2*sqrt(5)*6 + -3.\nAnswer: -3 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Is 21 a factor of 5065998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let x be 1 - 2 - 1*-2. Let k be (1 + x)\/((-2)\/13). Let j be -2 - (k + 0 - 0). What is the greatest common factor of j and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(w) be the first derivative of -3901*w**5\/5 - w**4\/4 - 2696*w**3 + 842. What is the third derivative of y(r) wrt r?\nAnswer: -93624*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -b - 4*i + 112 = 0, 0*b + 583 = 5*b - 3*i. Let j = b + -112. Let d(a) = 16*a**2 - 5*a**2 - j*a**2 - 8*a**2. Let y(p) = -20*p**2. Determine y(d(f)).\nAnswer: -20*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: (112\/(-30) + 4)*(16 + (-738)\/48)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the jth term of 3341, 6678, 10015, 13352?\n\"Answer: 3337*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let z = 13 - 9. Let d(l) = 1743*l + 15. Let x be d(z). Suppose t - 2485 - 1705 = -3*v, 2*t + x = 5*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(a) = -2*a + 2*a**3 + 6 - 5 - 5 - 3*a**2. Let b(x) be the second derivative of x**5\/4 - 7*x**4\/12 - 5*x**3\/6 - 9*x**2\/2 + x. Determine -3*b(m) + 7*n(m).\nAnswer: -m**3 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Is 17495297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third biggest value? (a) -2 (b) 0 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Expand 20 - 20 - 11*p**2 + (2*p - p + p)*(p + 0*p + 0*p) + 2*p**2 - p**2 + 2*p**2.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Does 1405 divide 2792999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Add 65854919673 and 0.4.\nAnswer: 65854919673.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} -{"text":"Question: Let u be (6 + (2 - 4))*-1. Let s = 10 + u. Suppose s*m - 2*m + 156000 = 0. Round m to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-2 - 2) + -11 + 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {p: 1, i: 5, e: 5, l: 1}. Give prob of sequence eep.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Add -5 and 281.112.\nAnswer: 276.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-2*(sqrt(2) + (sqrt(2) - (-5 + sqrt(288)))))**2.\nAnswer: -400*sqrt(2) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is 3.436086 kilometers in centimeters?\nAnswer: 343608.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let i(g) = -17*g + 96. Let v be (-2)\/(-3)*(10 - 15 - -14). Determine i(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(u) = -39*u + 100. Let h be a(-4). Let g = h + 152. Is 18 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of -479144499*a*g**3 - 4*a*g**2 + 4491*a - 426*g**2 wrt g.\nAnswer: -2874866994*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 15442 + -8346. Suppose 0 = -12*k + y + 4052. Does 20 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h(p) = 2*p + 1. Let l be -2*-3*(-6)\/(-36). Give h(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide -3816351 by -9.\nAnswer: 424039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let f(p) = -5246*p + 31414. Determine f(6).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 6 + (7 + -12 - (1 + -4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 1*(-57)\/76*12.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Multiply -3254 and -0.2.\nAnswer: 650.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (10\/(-50)*(-10)\/2)\/55*2?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (2 + -11 - (-30645)\/3465)*(-112)\/(-24).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 920263551.\nAnswer: 3, 31, 9895307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is 26 + 12 + -29 + 12?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -15? (a) -1.1 (b) -5 (c) 0 (d) -187 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Put -730, 0, 382 in decreasing order.\nAnswer: 382, 0, -730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose s = 5*n - 206541, s = -7*n + 4*n + 123931. Find the second derivative of 2*o**3 - 14*o + n*o**2 - 2*o**4 - 5 + 4 - 41309*o**2 wrt o.\nAnswer: -24*o**2 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -5*x + 365 + 195. Let j be 32\/x + 24\/14. Calculate the common denominator of j\/(-8) + (-1897)\/84 and -57\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 1512467?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: -0.4 times -13472\nAnswer: 5388.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4*i = -3*n + 21, -459 - 449 + 862 = 4*n + 7*i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let r(g) = -3*g**2 + 4*g - 2. Let s(t) = 3*t**2 - 4*t + 3. Determine -5*r(q) - 4*s(q).\nAnswer: 3*q**2 - 4*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let z(l) = l**2 - 21 + l**2 - 10 + 17*l - l + 53. Give z(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z(k) = k**3 - 4*k**2 + 5*k - 2. Let b be -4*2*9\/(-8). Let c(w) = w**2 - 8*w - 5. Let m be c(b). Let s be z(m). What is the highest common factor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 38*m - 323 = 399. Solve 7*u - m*u + 12 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((s*s\/(s\/s**(-8))*s)\/s**(-5))\/(s**1)**(-10\/7) assuming s is positive.\nAnswer: s**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the third biggest value in -31, -2.3, -2, 5?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Add together 0 and -3856426721.\nAnswer: -3856426721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let b(q) = 9*q - 1. Let a(t) = 38*t**2 + 49*t**2 - 86*t**2. What is b(a(u))?\nAnswer: 9*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let k(y) = 2*y**2 - 1328*y - 149167. Let g(r) = -9*r**2 + 5310*r + 596664. Let t(v) = 5*g(v) + 21*k(v). Factor t(f).\nAnswer: -3*(f + 223)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 9*r + 5 = 4*r. Let i = 7 + 5. Let g = r + i. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 6\/20*(-7 + 423\/54).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -426*b + 62*b - 3 + 17 + 15*b.\nAnswer: -349*b + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 10:11 AM and 11:05 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -1954, -3909, -5864, -7819, -9774?\nAnswer: -11729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Work out 18392 + -0.2249876364.\nAnswer: 18391.7750123636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4105 + 22204 - 1856 = f. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 446633425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -29*t**5 - 1207*t**3 + 8689503*t.\nAnswer: -580*t**3 - 7242*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*o + r - 8 = 0, 6*o + 10 = 5*o + 3*r. Suppose 3*v - 14694 = -2*x - 2*v, -x + 7349 = o*v. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 2 r and 1 f when three letters picked without replacement from {f: 1, q: 1, h: 4, a: 3, r: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is 29 - 34 - (2*-2 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(x) = -2*x**2. Let h(m) be the first derivative of 0*m**2 + 0*m - 46\/3*m**3 - 120. Give h(i(s)).\nAnswer: -184*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((-732)\/305)\/((-3)\/1*3\/(-30)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 12:29 AM and 7:25 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -115\/31768 and -39\/16.\nAnswer: 63536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 759935 is divided by 759226.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the third biggest value in -0.1, -1, 248, 2\/9, -4.3, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let d = -32 + -9. Suppose 5*x + 4*a + 34 = 0, -x + 4 - 2 = 3*a. Let i = -30 + x. Which is bigger: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of a**2*r**2 + 1101*a**2*r + 6*a**2 - 2*a*r + 106274*r**2 - 1 wrt a.\nAnswer: 2*r**2 + 2202*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange ((14 - 1 - 3)*(0 + 5 + 4) - 3 + 3 + 2)*(-3*f**3 + 5*f**3 + 4*f**3) to the form c*f**3 + x + o*f + a*f**2 and give c.\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let b(u) = -2*u - 24. Let s be b(-14). Solve 5*m = -s*q + 28, -m + 2*m - 2*q = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -1\/232 in 25, 49, -25, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -3 + sqrt(228)\/(-3*sqrt(12)*2).\nAnswer: -3 - sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred thousands digit of 101389241?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 3772 and 533?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let f(v) = 2*v + 4*v - 3*v. Let y(u) = 26*u + 2*u - 33*u. Give y(f(t)).\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 568 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Factor g**2\/7 - 782644*g + 120526692\/7.\nAnswer: (g - 5478486)*(g - 22)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let n(y) = -y**2 - 8*y - 7. Let u = 62 + -71. Let g be ((-15)\/(-6))\/(u\/(-6) - 2). What is n(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(w) be the third derivative of w**8\/112 + w**4\/4 + 5*w**2. What is the second derivative of s(h) wrt h?\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o = -180.0766 + 0.0766. What is the biggest value in o, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 222*v - 200*v = 5852. Calculate the remainder when v is divided by 52.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -47.44 + 0.44. Let x = 35.8 + r. Let i = -11 - x. Are 3\/14 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 5 + 1131*a - 901*a - 1473*a - 1736*a.\nAnswer: -2979*a + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Is -3\/31287131 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 2650 is divided by 58?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is -12554 (base 7) in base 8?\nAnswer: -6453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -7\/4 in 0, 0.5, 5, 52\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Sort -68, 4, -5, -85 in decreasing order.\nAnswer: 4, -5, -68, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*c + 14 = -1. Let l = 0.136 + -0.004. Let j = l - 5.132. Put 3, c, j in decreasing order.\nAnswer: 3, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (2 + (sqrt(1008) - (sqrt(1008) + (1 + sqrt(1008) - sqrt(1008)) + sqrt(1008))) + 1 + 1)**2.\nAnswer: -72*sqrt(7) + 1017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the pth term of -660, -1310, -1960, -2610, -3260?\n\"Answer: -650*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Determine z, given that -2*z**5\/11 + 18*z**4\/11 - 58*z**3\/11 + 78*z**2\/11 - 36*z\/11 = 0.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let b(s) be the third derivative of -1931*s**5\/20 - 3887*s**3\/6 + 5314*s**2 - s. What is the first derivative of b(o) wrt o?\nAnswer: -11586*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b = -10 - 215. Let v be 50\/b - 4\/(-18). Suppose v*h + h - 50 = -2*d, -70 = -3*d + h. What is the smallest common multiple of 27 and d?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -22278942402*g**2 - 5*g**3 + 4*g**3 + 22278942402*g**2.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: How many grams are there in 2\/125 of a kilogram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -0.1 in -24, 20, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let w(g) = -2*g**2 - 4*g - 1. Let x = 75 + -64. Let m(q) = -q**3 - 11*q**2 - 21*q - 5. What is x*w(b) - 2*m(b)?\nAnswer: 2*b**3 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of 860 and 8.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let j = -11.4 - -11.48. Let m = 4.92 + j. Which is the biggest value? (a) m (b) 14 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -10.65 + -0.35. Let x = 116.1 + -116. What is the third biggest value in p, 1, 1\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor -3*t**3\/5 - 33*t**2\/5 - 54*t\/5.\nAnswer: -3*t*(t + 2)*(t + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (l\/l**(-5)*l*l\/(l**(4\/13)\/l*l))\/(l*l**(-4))**44 assuming l is positive.\nAnswer: l**(1816\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Is -819 at least as big as -819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is 32052 + -2?\nAnswer: 32050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let a(x) be the first derivative of 3*x**6\/14 + 34*x**5\/35 + 23*x**4\/14 + 8*x**3\/7 + x**2\/14 - 2*x\/7 - 1. Solve a(s) = 0 for s.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m be 160\/560 + (-4058)\/(-7). Let y = m - 688. Which is greater: y or -111?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 6 (c) 0.05 (d) -2\/9 (e) -2\/5 (f) -0.021\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -23 - -26. Solve -3*l + 2*l = -w + 3, -5 = -l - q*w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 4 divided by 187871.\nAnswer: 4\/187871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the ith term of -228, -195, -112, 45, 300, 677, 1200, 1893?\n\"Answer: 4*i**3 + i**2 + 2*i - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 2:30 AM and 10:16 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Solve -238 = 9*y + 5*n, 275*n + 107 = -4*y + 138*n + 136*n for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 457 + -509. Suppose 665 = -2*x - 1015. Let p be (-6)\/39 + x\/h. Put 3, p, -2 in increasing order.\nAnswer: -2, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Determine g, given that -9*g**5 - 556*g**4 - 1145*g**3 + 229062*g**2 - 1563740*g + 336200 = 0.\nAnswer: -41, 2\/9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose q - 10 = 285. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d(g) = g**2 + g + 1. Let r(l) be the first derivative of -l**5\/120 - 5*l**3\/3 - 2. Let z(o) be the third derivative of r(o). Calculate 2*d(t) + 2*z(t).\nAnswer: 2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is eleven quarters of a millennium in months?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -0.3 in -0.2, 1\/6, 2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let z(g) be the third derivative of -g**6\/60 - g**5\/20 - g**4\/24 - 4*g**2. Let b = -93 - -91. What is the lowest common multiple of z(b) and 17?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -22 = -4*p + 62. Suppose -16*r + 21*r = 410. Calculate the remainder when r is divided by p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h(o) = -5*o**2 - 10*o - 3. Let m(s) = -11*s**2 - 20*s - 7. Let k(i) = 9*h(i) - 4*m(i). Give k(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence wkwe when four letters picked without replacement from {e: 1, k: 2, w: 4, m: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let v(u) = 3*u**2 - 3*u + 1. Let i(x) = -16*x**2 + 13*x - 3. Let z(b) = -2*i(b) - 11*v(b). Determine z(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -129 + 261 + 3*c - 132.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Total of -0.5 and 65136043048691.\nAnswer: 65136043048690.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -143\/36260 and 23\/1225?\nAnswer: 181300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (j\/j**(-24)*j*j**(-3\/2)*j\/j**(-14\/3)*j*j\/j**(1\/19))**(3\/5) assuming j is positive.\nAnswer: j**(3661\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 123\/2740 and -61\/48.\nAnswer: 32880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.0000013287 to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 186 and 2511?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: In base 8, what is -145013 - -5631?\nAnswer: -137162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let y be (2 + 2 - 3)\/((-1)\/9). Let t(q) = -2*q**3 + 20*q**2 + q - 7. Let s be t(10). Let o be ((-8)\/6)\/(s\/y). Solve -4*p - w - 8 = -5*w, 0 = o*w - 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -193 + 81 + 112 - 5*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence hn when two letters picked without replacement from {y: 1, o: 1, j: 2, x: 1, n: 2, h: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let s(y) = -y + y - y**2. Let c(t) = 2*t**2 - 16*t**2 + 8*t**2 + 4*t**2. Give c(s(k)).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is -21203 (base 4) in base 16?\nAnswer: -263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: 2.40756275616 - 30\nAnswer: -27.59243724384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -67.6844 - -1.6144. Let k = r + 66.1. Which is bigger: -3\/4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 9, what is 2 + -4378?\nAnswer: -4376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 11:14 PM and 2:19 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -72271125*v**2 - 4164695*v?\nAnswer: -144542250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -2041\/14 - -1024\/7. What is the third biggest value in 1\/395, f, 5?\nAnswer: 1\/395","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {d: 5, y: 2, o: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is the sixth root of 37540 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -11*m - 70193 = 25*m - 811505. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 1068 (base 9) in base 4?\nAnswer: 30113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let q(d) = -d**2 + d + 1. Let m(c) = 10*c**2 - 5*c - 6. Determine m(x) + 5*q(x).\nAnswer: 5*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) -1\/6 (c) -7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 295 is divided by (-1404)\/(3 + -16)*(-2)\/(-8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 1206 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((m\/(m\/m**4*m))\/m**6*(m**15\/m)\/((m**2\/m)\/m))**(-33) assuming m is positive.\nAnswer: m**(-363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: In base 14, what is -393b - dc97?\nAnswer: -137d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Divide -20 by -200396.\nAnswer: 5\/50099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of 2 + (-484)\/231 - 4442\/(-7392) and -107\/132?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: -92535 (base 11) to base 15\nAnswer: -2a04e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let u(j) = -j**3 + 2*j**2 + 0*j**3 + 3*j - 3998 - j + 3996. Let r(x) = x**2 + 4*x + 2. Let t be r(-2). Let g(m) = -3*m**2 - 3*m + 3. Calculate t*g(d) - 3*u(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 924*p**3 + 10077*p**2 - 15*p + 609357 wrt p.\nAnswer: 5544*p + 20154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*z - 1 = 39. Let t be (-2)\/z - (-1)\/(-5). Solve 2*n - 5*r + 21 = t, -3*n - 2*r + 3*r + 1 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -17 + 12. Let n = 10613 + -10618.027. Let m = -0.027 - n. Which is the closest to 0.1? (a) 2\/11 (b) m (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 36\/17 and 39\/1955.\nAnswer: 1955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (6*-4*(sqrt(576) - sqrt(36)))\/(sqrt(84)\/((sqrt(7) + sqrt(7)*1)*-3)).\nAnswer: 432*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -34 + 29 + -10 + -10?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -7.46 - -7.46718. Round l to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q(u) = 104 - 104 + u. Let x be q(6). Suppose y = x*y - 3*t - 9600000, 1920000 = y + 2*t. What is y rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -2 + w**2 + 1 + 2*w - 20479*w**3 + 20359*w**3 to the form o*w**2 + p*w**3 + r*w + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: -13 - (-6 + (-35 - -21)) - 18\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {w: 1, n: 1, e: 1}. Give prob of sequence nw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -s**2 - 482767*s - 153263 wrt s.\nAnswer: -2*s - 482767","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -10 + 0 + -1 - (9776 + -9829).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} -{"text":"Question: Let c = -16318 + 16329. Let h be 1 - 1 - 58\/2. Let t = 1 - h. Calculate the remainder when t is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: 10022211101102 (base 3) to base 9\nAnswer: 3284342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((-3*sqrt(99)*-1 - sqrt(99))\/(sqrt(9) + sqrt(9) + -3*sqrt(18)\/sqrt(2)))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: How many millennia are there in 1.956363 years?\nAnswer: 0.001956363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let u be 2*2\/(-28)*(-34 - -35). Which is the closest to -1\/4? (a) -2\/11 (b) u (c) -5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 11:40 PM and 4:32 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let t(n) = -2*n. Let x(g) be the second derivative of 7\/4*g**4 + 0*g**2 + 0 + 0*g**3 + 2*g. Calculate t(x(l)).\nAnswer: -42*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -5\/2? (a) -0.2 (b) -1 (c) 0.2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: 219 (base 12) to base 15\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let y(v) = v**3 - 16*v**2 - v + 17. What is y(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: In base 14, what is -5 - 5a7b6c?\nAnswer: -5a7b73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 18*g**2 + 8*g - 1 + 71*g + 0*g + 2*g - 83*g to the form b + h*g**2 + l*g and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: -4 - 0 - (3 + -3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Round -297911 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (55\/(-33))\/((-35)\/(-84)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let q be 1\/(-2) - 9\/18. Let v(h) = h**2 + h. Let f be v(6). Let p = -2144\/51 + f. Is q bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of 181\/369900 and 29\/360?\nAnswer: 739800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Put 7, -6, 1, -5, -9, 4, 3 in ascending order.\nAnswer: -9, -6, -5, 1, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 904578702 and 447.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -13\/7? (a) -5 (b) -1 (c) 1.194\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is -108 divided by -584370?\nAnswer: 6\/32465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is (-24)\/(-32)*(-2)\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 70773071.\nAnswer: 70773071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.1 take away 216762974.1898?\nAnswer: -216762974.0898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*m + 3*p = m - 8, -4*p = 3*m + 4. Let z(r) = -15 - 2*r + 5*r - m*r. Let j be z(-13). Put j, 0.4, 1 in decreasing order.\nAnswer: 1, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 1325822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: -18494597\/18 or -1027477?\nAnswer: -1027477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let n(z) = z**3 - 4*z**2 + z + 4. Give n(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*q = -3*i - 22, -20*i - 3*q - 10 = -15*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((((p**(-2\/31)\/p)\/p)\/p)\/p**(-2\/13))**(-1\/4) assuming p is positive.\nAnswer: p**(1173\/1612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let u(g) = g - 5. Let h be u(8). Suppose -b + 2*m = -635, h*b + 0*b - 1905 = 3*m. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 1218\/261 - 23142\/(-9).\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 785635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 w, 1 s, and 1 x when three letters picked without replacement from sswwsssxwxxww.\nAnswer: 75\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let o be ((-2)\/(-4))\/(-3 - (-2860)\/952). Is (o + 2)\/((-14)\/(-14)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify sqrt(931) + (sqrt(931) + 0)**2 + 0 + (-2*sqrt(931) + 3 - sqrt(931))**2 + 3.\nAnswer: -119*sqrt(19) + 9322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence gege when four letters picked without replacement from rgnnzvegezrngngvrv?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Expand -2*m**4 - 3*m**4 + m**4 + (-3 + 2 - 8)*(-35*m**4 + 72*m**4 - 38*m**4) - 2*m**4 + 0*m**4 + m**4.\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Expand ((-k**2 + 4*k - 4*k)*(1 + 3 + 2) + k**2 + 0*k + 0*k + (-2*k - 1 + 1)*(-3*k + k + k))*(-2 + 1 + 3).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((u*u**7*u*u)\/u*u*u**1\/u*u**(-3\/2)*(u\/u**(-3\/2))\/u)**(8\/3) assuming u is positive.\nAnswer: u**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 2 n and 1 k when three letters picked without replacement from nqnnnnmqiikqn.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: -20012.8*5\nAnswer: -100064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: (-78942)\/8850 - 4\/((-4)\/9)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -2145626*i + 1069856*i + 1075790*i.\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let s(d) = 10*d + 301. Let b be s(-30). Let y be (-1330)\/(-988) + 4\/26 - b. Let g = -2.7 + -0.3. What is the closest to 0 in g, y, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify k**5\/((k\/(k*k*k**(-24)))\/k)*k\/(k\/(k\/(k*k**(3\/17)*k)))*k**(6\/17) assuming k is positive.\nAnswer: k**(-303\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Factor 2*b**2 - 21173348*b + 56038833191138.\nAnswer: 2*(b - 5293337)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Convert -5 (base 11) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3*u + 17 = 29, 2*s + 3*u + 10 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {e: 1, r: 1, d: 3, x: 4, n: 4}. What is prob of picking 1 r and 1 d?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let s = -35.1487193 + 35.32872. Let w = s - 0.18. What is w rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let b(t) = 30*t**3 + 34*t**2 + 12*t + 12. Give b(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let q(r) = -r**2 - 10*r - 8. Let s be q(-9). Put s, 2, -5, -1 in decreasing order.\nAnswer: 2, s, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -0.4731 + 2.1731. What is the nearest to -0.14 in x, -3, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 2 - (3 + 4 + 0) - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is -20886.354 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 84 is divided by 39?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 100707 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 38*d - 34*d - 8 = 0. Suppose -d*p - p - 15 = -2*i, 3 = 2*p + 3*i. Is p > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -1? (a) -2\/19 (b) -0.08 (c) -5 (d) -2.42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let v(p) be the second derivative of -3*p**4\/4 - p**3\/6 - 451*p. Give v(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from llvvff. Give prob of sequence vl.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Solve 23*m + 45*m = -846 - 73 - 1937 for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 341 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 49559 = 5*c + 3*m, 135*m - 134*m = 2*c - 19817. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 1 + 15. Let n = 19 - i. What is the nearest to 0.1 in n, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Work out 2 * -960732.\nAnswer: -1921464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: 0.6679404 - -422\nAnswer: 422.6679404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 1369422 is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the qth term of -76, -78, -80, -82, -84?\n\"Answer: -2*q - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (q**(-1\/2)\/q*q)**(-45)\/(q*(q*q*q*q**(6\/7))\/q*q**12) assuming q is positive.\nAnswer: q**(93\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let r(t) = 7*t + 11. Let j(v) = 4*v + 6. Let l(a) = -11*j(a) + 6*r(a). Let g be l(11). Let w = g + 90. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 1012 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Multiply 104.5 and 0.4.\nAnswer: 41.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Express (-3 - 13*f + 7*f + 0*f)*((3*f + 0*f - 2*f)*(-3 + 3 + 3) + 3*f - 7*f + 2*f)*(-13 - 11 + 8) in the form h + o*f**2 + z*f and give o.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -2350843 + 168.86233.\nAnswer: -2350674.13767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -0.416 - 0.084. Sort 2\/7, f, 5, 0.1 in increasing order.\nAnswer: f, 0.1, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is fifty-four fifths of a micrometer in nanometers?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.085751 to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 1753\/4 + -438. Factor 1\/4*u**2 - 1\/4*u**3 - 1\/4 + x*u.\nAnswer: -(u - 1)**2*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(d) = d**3 + 18*d**2 - 14*d - 3. Let u be m(1). Solve -7*x + 9*x = w - 8, 0 = -2*w + u*x + 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p(w) be the second derivative of w**6\/40 + w**5\/20 + w**2 + 9*w. Let s(r) be the first derivative of p(r). Factor s(a).\nAnswer: 3*a**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (4 - 1 + 9)*(21*y + 7*y - 18*y)*(4*y**3 - 5*y**3 - 2*y**3).\nAnswer: -360*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let l be (-7 - -4)*(-11702)\/6. Let u = l + -87731\/15. Let x = 114203\/12 + -9526. Calculate the common denominator of x and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of 39\/227 and -93\/10?\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 84 and 5788986?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let c = -56 + 335\/6. Let v = -50891 - -50887. Sort v, c, 3 in decreasing order.\nAnswer: 3, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -705*i**2 + 701*i**2 - 352*i**2.\nAnswer: -356*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is ((-7)\/4)\/(46445\/(-95544))?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((p**0\/p*p)**(-11))**(13\/2)*(p*p\/p**(1\/4)*p*p*p*p**(-1\/3)*p)\/(p**(-2\/5)\/p**(-1\/2)) assuming p is positive.\nAnswer: p**(319\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Which is the smallest value? (a) -681393\/14 (b) 5 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 334763 is divided by 213?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -20*w**4 - 46173*w**2 + 4604563*w wrt w?\nAnswer: -240*w**2 - 92346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let d(l) = l**2 + 5*l - 2. Suppose 39*f + 357 = 84. What is d(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(d) = 15*d + 34. Let u be f(22). Suppose 0 = -2*i - j + 124 + 62, 4*i + 4*j - u = 0. List the prime factors of i.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 592121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Suppose z - 3*z + 8 = -5*a, 2*z + 4*a = -28. Let r = z - -21. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(o) = 2*o + 1 - 1. Let q(m) = m. Let h(z) = 44*z - 20*z - 21*z. Let d(a) = -3*h(a) + 5*q(a). Determine d(x(j)).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is 1 divided by -3057914?\nAnswer: -1\/3057914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let g(n) = 93*n. What is the tens digit of g(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is -344 at most -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is 2567961 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let v be -1 - 0 - (-4 - 0). Suppose -5*r + v*z + 18 = -r, -z = -2. Calculate the least common multiple of r and 256.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*i = -0*i + 20. Let f(k) = 0 + k**2 - i*k + 3*k + k**2 - 1. Let t(p) = p - 9. Let m be t(8). Calculate f(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(b) be the first derivative of 0*b**5 + 0*b - b**3 + 0*b**4 + 0*b**6 + 6\/7*b**7 + 0*b**2 - 2. What is the third derivative of l(y) wrt y?\nAnswer: 720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 5392540 bigger than 37747786\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: In base 6, what is 121 + 2033525?\nAnswer: 2034050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 554721026*g**3 - 963*g + 39432?\nAnswer: 3328326156*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let m = -1.128 - -0.938. What is the fifth smallest value in m, 3, -4, 2, 2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v(o) be the first derivative of -o**5\/30 + 3*o**2 - 6. Let s(n) be the second derivative of v(n). Let l(c) = -3*c. Give s(l(d)).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.01 plus 38.1449?\nAnswer: 38.1549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 3*(3*(1 + sqrt(1872))*5 + 3 + sqrt(1872)*2 + 4)**2*-1.\nAnswer: -1624476 - 26928*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*i = -2*o - 2, o - 6 = -4*i + 6*o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let y(i) = -i**3 + 4*i**2 + 19*i + 20. Calculate y(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -0.1*49439.89.\nAnswer: -4943.989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let c(s) = -9*s - 4. Let u be c(-1). Let a = 2 - 5. Let j = 228 + -227.8. What is the nearest to a in j, u, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 77962 and 39315778.\nAnswer: 4586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 1420799375.\nAnswer: 5, 2273279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Put -212, -2\/5, -0.74, -0.09 in descending order.\nAnswer: -0.09, -2\/5, -0.74, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the difference between 16.535 and 23.93205167?\nAnswer: 7.39705167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 3 + (sqrt(77)\/(sqrt(63) - sqrt(7)) - (1*sqrt(11) + 5)).\nAnswer: -2 - sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Solve -105 = 4*h - 101 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is 211 minutes before 6:37 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is -55324 (base 7) in base 2?\nAnswer: -11011000111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let j(u) = -u**2 + 20*u - 16. Suppose 66 = -3*k + 7*k - 2*l, -l - 84 = -5*k. What is the tens digit of j(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p be 2 - (-25)\/(-9) - -1. Let l = -118 + 121. Which is the smallest value? (a) p (b) l (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express (-7 - 6*v + 7)*((-11 - 10 - 7)*(2*v - 2*v + 2*v) + (-25 - 7 - 3)*(-4*v + 5*v + v) + 2*v + 0*v + 0*v) in the form c*v**2 + g*v + p and give c.\nAnswer: 744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (c**(2\/23)*c*c**5\/c)\/(c**0)**10 assuming c is positive.\nAnswer: c**(117\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: -422 (base 12) to base 10\nAnswer: -602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let p(u) = 29*u. Let v(x) = 608*x. Let r = -37175 - -37111. Determine r*p(b) + 3*v(b).\nAnswer: -32*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Is 36893 a multiple of 319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: 32214 divided by 59\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-3*p**2 + 5*p**2 - 4*p**2)*(478*p - 12 - 481*p + 37).\nAnswer: 6*p**3 - 50*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -217 + 153 = 32*q. Sort 5, 2, -119, q in decreasing order.\nAnswer: 5, 2, q, -119","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the gth term of -475, -2500, -7655, -17506, -33619, -57560, -90895?\n\"Answer: -261*g**3 + g**2 - 201*g - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -12 - 1 - (-4 - 8 - -6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 5*y + 2*c - 1 - 6, 4*c = y - 19. Suppose -818181 = y*a + 381819. Round a to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand 2*w**2 + 8*w**2 - 16*w**2 + (-6*w + w + 4*w)*(-2*w + 4*w + 0*w) + w**2 + 3*w**2 - 6*w**2.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -10770691 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let z(r) be the second derivative of -r**5\/12 - 5*r**4\/24 + 5*r**3 - 5*r**2\/2 - 22*r. Let i(y) be the first derivative of z(y). Factor i(d).\nAnswer: -5*(d - 2)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the smallest value? (a) -1\/6 (b) 2 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-6 + 460\/75)\/(10*(-52)\/195).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let q(m) = 1 + 2*m**2 - m**2 + 0*m**2 + 7*m. Suppose 3*p = -a - 3, -4*p = -3 + 11. Calculate the least common multiple of q(-7) and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q be 0 + 1*(0 + 3). Let y = 0 + q. What is the derivative of -5 + 6 - z**y - 2*z**3 wrt z?\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a be 4 + -1 + -2 + 1. Suppose 0 = -p + a + 1. Calculate the lowest common multiple of 8 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 1450*a - 27943 - 18457 for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of ((-7)\/((-63)\/6))\/(((-28)\/21)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let a(p) = -p**3 + 7*p**2 + 11*p + 4. Let o be a(8). Let u = o + -36. Suppose -l = l + 14. Is u < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 742627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 2:52 PM and 8:59 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -948 - -557. Let n = r - -390.366. What is n rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o be -1 + (-3 - 1 - -92). Suppose 2*s = -3*x + o, 0 = -4*s + 5*x - 43 + 162. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: 2*0.227\nAnswer: 0.454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.26104 rounded to three decimal places?\nAnswer: -0.261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Work out 0.2 * -1381.7561.\nAnswer: -276.35122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 3546 is divided by 77.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 5:20 PM and 7:52 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 15446 + -15448. Let p(r) = r. Let j be p(6). Which is the closest to -4\/7? (a) j (b) l (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 6, what is -4243342211 + -4?\nAnswer: -4243342215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let j be 190\/1476*(-26)\/(-60). Let w = -3\/164 - j. Let p = 20 - 21. Which is smaller: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sum -443695.2 and -1.1.\nAnswer: -443696.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Which is the biggest value? (a) -0.5 (b) -4\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let y be (10\/(-15))\/(2\/(-3)). Let d(k) = 3*k**2 - 2*k + 1. Let s be d(y). Solve 0 = -3*z - 5*x - 14, -x + 2*x - s = -3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 54310113 to the power of 1\/3, to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Which is the biggest value? (a) -2 (b) 4 (c) 5\/6 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 183 is divided by 42.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let g(w) be the second derivative of w + 1\/4*w**4 + 0 + 0*w**2 + 1\/2*w**3. Determine y so that g(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -2\/13 in 3, 4, 1\/2, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 312 is divided by 179?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 2008976 is divided by 1004465?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*r + 14 = -r. Does 7 divide (-2 - 4)*r\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*d - n + 0*n = 397, 186 = d + 2*n. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 2140 divided by 428.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let m(o) = o**2 + 12*o - 8. What is the common denominator of (-6)\/(-3 + 0) - 34\/18 and m(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 876 divided by -33?\nAnswer: -292\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 161448.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 167 + -172. Which is the closest to -0.1? (a) w (b) 3 (c) -7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d be 0 + (12\/10)\/((-16)\/(-40)). Suppose -8 = -2*k, -3 = q + k - 11. Find the third derivative of g**3 - 2*g**2 + 0*g**3 + d*g**2 + q*g**2 wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is 13cd - -1a?\nAnswer: 13e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is 1878899252 to the power of 1\/2, to the nearest integer?\nAnswer: 43346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is 374 minutes before 6:41 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when (-137)\/(-4) + 6\/8 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from njtdndhjhdxdnhhhjht. What is prob of picking 1 d and 2 j?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 88 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let a(w) = -2*w**3 + w**2 + 2*w**2 - w**3 - 4*w**2. Let m = 83 - 79. Suppose 4*v = -m*l - 5 + 1, -l - 6 = -4*v. What is a(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -39 minus -0.19?\nAnswer: -38.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: In base 4, what is 122 + -110?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let s = -0.163 - 18.537. Let b = s + 18.7317. What is b rounded to 3 decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -0.0900698953 + -207.9099310147. Let w = 208 + u. Round w to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m = -6 + 9. Suppose 53 + 67 = m*g. What is the smallest common multiple of g and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 101833439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 2*g**6 - 4445*g**4 - 35*g**3 + 225*g**2 - 30*g - 2?\nAnswer: 240*g**3 - 106680*g - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is k in -2076722*k**2\/11 + 97824*k\/11 - 1152\/11 = 0?\nAnswer: 24\/1019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -2463\/5 + 278. Let z = -3449\/15 - x. What is the common denominator of z and (2\/2)\/((-10)\/(-119))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -0.92 - -1.28. Put x, 5, -2 in decreasing order.\nAnswer: 5, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 1419376 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let l(s) = 15*s + 17. Let p(c) = -5*c - 6. Let g(a) = -3*l(a) - 8*p(a). Let r be g(-1). Suppose -q = -n + r*n, -16 = -n + 3*q. Solve -n*x - 9 - 11 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -6610 + 6610 + 27*p - 27*p - 1499*p**2.\nAnswer: -1499*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 2 - 0. Sort x, -1, 2\/105.\nAnswer: -1, 2\/105, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 47*z = 43*z + 120. Solve 5*i + z = 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put -1, -2, 54.082, -12 in ascending order.\nAnswer: -12, -2, -1, 54.082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let s(b) = b**3 + 4*b**2 + 28. Let n be s(-5). Let x(v) be the first derivative of -5\/4*v**4 + 0*v**2 + 2*v + 0*v**n - 11. What is the derivative of x(m) wrt m?\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 611698 is divided by 21093.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let z(u) be the third derivative of u**5\/90 + u**4\/12 + 27*u**2 + u. Factor z(k).\nAnswer: 2*k*(k + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 670027730?\nAnswer: 2, 5, 311, 215443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Expand -170*n**5 + 45*n**5 + 2318 - 2318 + (4 + 1 - 7)*(-3*n - 2*n**2 + 3*n)*(-n**3 - 4*n**3 + 4*n**3).\nAnswer: -129*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is 11556605 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: Sort 12, -14, -0.5, 3\/10 in descending order.\nAnswer: 12, 3\/10, -0.5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let t be (0 - (-64)\/(-272))\/2 + 32\/(-17). Put -5, 3, t, -4729 in decreasing order.\nAnswer: 3, t, -5, -4729","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 50754358 is divided by 16918115?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let g(x) = 2 - 7 + 69*x - 62*x - 6. Let h be g(2). Suppose h*y - 297 = 2*i + i, 2*i - 495 = -5*y. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*y - 28 = -3*f, -5*f - 12 + 2 = -3*y. Suppose -4*r + 2*r + 20 = 4*k, -4*k = y*r - 20. What is the closest to r in -1\/6, -0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m = -1991 + 1986. Which is the second smallest value? (a) m (b) -3\/7 (c) -3\/10 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v(c) = c**2 - 11*c - 5. Give v(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Sort 1, -5, -7, -11, -10, 0.\nAnswer: -11, -10, -7, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 3*j - 2*j + 13. Let z be 2 + -3 - (-14 - -18). Put 0, z, j in ascending order.\nAnswer: j, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2676 = -52*v + 64*v. What is the remainder when v is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 30288229.\nAnswer: 30288229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let n(a) = 2*a**3 + 4*a**2 + 2*a. Suppose 4 = -4*j - 8. Let l be ((-24)\/18)\/((-2)\/j). What is n(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(t) = t**2. Let x(g) = -2*g + 28. Let d(h) = 260*h + 109. Let c(w) = -d(w) + 4*x(w). Give s(c(y)).\nAnswer: 71824*y**2 - 1608*y + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: 147*-39741\nAnswer: -5841927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {t: 1, p: 1, c: 1, a: 3, n: 1}. Give prob of sequence cna.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*j - 3*j + 1344 = 0. Let v = j - 182. Solve 4*g - v = 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 1652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 60154 = t - b, -3*b + 77198 = 3*t - 103240. What are the prime factors of t?\nAnswer: 2, 3, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest value in 1\/5, -5, -43, -0.1?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Sort 253, 128, -1 in decreasing order.\nAnswer: 253, 128, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let l(c) = -15*c + 3. Let b(a) be the first derivative of 4*a**2 - 2*a - 2263. Give 5*b(k) + 3*l(k).\nAnswer: -5*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -10 - -13. What is the lowest common multiple of l and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 9 (c) -1\/11 (d) -726\/19 (e) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let u(j) = j**3 - 2*j**2 + 2*j - 7. Let h(z) = 5*z**3 - 11*z**2 + 11*z - 36. Give 2*h(s) - 11*u(s).\nAnswer: -s**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the second smallest value in 1, 5, -31\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 2*sqrt(51)\/(sqrt(3) + (-3*sqrt(3) - sqrt(3)) + sqrt(3)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let x(h) = h**2 - h + 2. Determine x(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Expand (0*o**2 - 8*o**2 + 4*o**2)*((0*o + 3*o + 2*o)*(3*o - 6*o + o) + o**2 + o**2 - 4*o**2).\nAnswer: 48*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is (616\/7)\/((-1)\/((-17)\/255*-15))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Expand (5*n - 3*n + 0*n)*(-2*n**2 - 4*n**2 + 4*n**2) + 414*n**3 + 687*n**3 - 342*n**3 - 3 + 2*n**2.\nAnswer: 755*n**3 + 2*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 6141 is divided by 75.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let l be (52\/(-7))\/((-6)\/(-133)). Let f = l - -165. What is the second smallest value in -4, 2.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 614688, 2458404, 5531264, 9833268, 15364416?\nAnswer: 22124708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: 0 (base 5) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is 19353.33 decades in years?\nAnswer: 193533.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence jfj when three letters picked without replacement from {w: 3, d: 1, f: 1, t: 1, j: 5, u: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is 968598 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Solve 57513 - 57452 = -3*g - 5*s, -4*g = 4*s + 84 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let b(h) = -3*h**2 - 5*h + 4*h - 3 + 4. Let u(t) = -t**3 - 10*t**2 - 14*t + 21. Let v be u(-8). Suppose 0 = 5*g + 5, 0 = m - 2*m - v*g - 4. Calculate b(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v(l) = -l + 2. Let a(w) = 3*w + 0*w + 6 + 0*w - 4. Let h = 11 + -7. Let u(g) = -2*g - 2. Let j(c) = h*u(c) + 3*a(c). Calculate -4*j(d) - 5*v(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 43964679 and 4767.\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Divide 13320 by 74.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (4*(-1*1*sqrt(300) + sqrt(300) + sqrt(300) + sqrt(300) + -6*(sqrt(300) + (sqrt(300) - (-1 + sqrt(300)))))*-6*-1)**2.\nAnswer: 276480*sqrt(3) + 2785536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Sort 24, 0, 26 in decreasing order.\nAnswer: 26, 24, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is 27494.60244 rounded to the nearest 10?\nAnswer: 27490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Determine v so that 4*v**3\/9 - 56*v**2\/9 - 2044*v\/9 + 8816\/9 = 0.\nAnswer: -19, 4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*a = -2*y - 44 + 8, 5*y - 10 = 0. Let t be (a\/4)\/(25\/20). Find the third derivative of 23*r**t - 44*r**2 - 26*r**2 - r**2 - 45*r**4 wrt r.\nAnswer: -1080*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of 1026*w**4*x**2 + 4*w**3*x**2 - w**3*x - 583*w**2*x**2 - w*x + 4*x**2 wrt w.\nAnswer: 24624*w*x**2 + 24*x**2 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let b(d) = 3*d + d**3 + 6 - d**2 + 5*d**2 - 4. Let z be b(-3). Let v(n) = -1 - z*n**2 + 3*n**2 + n**2 - n. What is v(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(275) + sqrt(275)*2 + sqrt(11) - sqrt(66)\/(sqrt(216) + sqrt(6)))**2.\nAnswer: 135531\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 483536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 6*t = -8*t. Suppose 2*g + 17 = -5*m, -3*g + t*g - 8 = 4*m. Which is the nearest to -0.05? (a) 0.3 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert -10210020111221 (base 3) to base 12.\nAnswer: -810714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let a(c) be the second derivative of 23\/30*c**6 + 1\/6*c**3 - 1\/20*c**5 - 31*c**2 + 0 - 22*c + 0*c**4. Find the second derivative of a(n) wrt n.\nAnswer: 276*n**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the th term of -11922, -11921, -11920?\n\"Answer: b - 11923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 75 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let z = -2.12 - -2.322. Let a = z + 93.798. Let j = a + -72.4. Round j to zero decimal places.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: -7 - (8 - (0 - -12))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is p in 2*p**5\/5 - 186*p**4\/5 + 3348*p**3\/5 + 3536*p**2\/5 = 0?\nAnswer: -1, 0, 26, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Is 157969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (100\/(-150))\/((-10)\/(-3))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(l) be the first derivative of 8*l + 4 + 2\/3*l**3 + 4*l**2. Factor u(w).\nAnswer: 2*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f be 2\/(-3) - (-245)\/21. Let o(p) = 3*p + 9. Let r(i) = -i - 3. What is f*r(k) + 4*o(k)?\nAnswer: k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 3727\/154 - 178\/7. Let k = 45929\/10 + -4584. Calculate the common denominator of k and i.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence yq when two letters picked without replacement from {d: 2, q: 12, y: 4, w: 1}?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Factor -125*q**3 - 102838325*q**2 + 41135345*q - 4113535.\nAnswer: -5*(q + 822707)*(5*q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 400650 and 469600?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from eeee. What is prob of sequence eee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of h**6 + 3*h**4 + 3543400*h**3 + 1553*h**2 + 427*h - 2 wrt h.\nAnswer: 120*h**3 + 72*h + 21260400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 3585071, 3585074, 3585077, 3585080, 3585083?\nAnswer: 3585086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Sort 23, -1\/3, -1, 2\/15.\nAnswer: -1, -1\/3, 2\/15, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 279 and 2201?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -48616*m**3 + 97370*m**3 - 2*m - 48622*m**3.\nAnswer: 132*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Is 1447805497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let o(m) = -13*m**2 - 492*m - 242. Let f(j) = -5*j**2 - 164*j - 88. Calculate -11*f(b) + 4*o(b).\nAnswer: 3*b**2 - 164*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let b(n) = n**2 - n - 1. Suppose 2*w = 3*w - 2*m + 6, -w - 3*m = -14. Let d be b(w). Suppose -26 = -2*z - 28. Sort d, -2, z.\nAnswer: -2, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -1153456 divided by -5.\nAnswer: 1153456\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let o(i) = -i - 4. Let d(c) be the first derivative of 3*c**2\/2 + 28*c + 29. Let r be d(-10). Let v(j) = 2. Determine r*o(p) - 5*v(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from ttttttmttmttttttttt. Give prob of sequence mtmt.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -2\/9? (a) 2\/25 (b) -67 (c) 6.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: 78\/1721 or -0.2?\nAnswer: 78\/1721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let j(f) = -21*f + 19*f + 10 + 1 + 3. Let c = 15 + -8. Let a be j(c). Solve a = -4*u - 15 + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -17? (a) 3 (b) 26 (c) 4 (d) -36\/5 (e) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Is 2046 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred thousands digit of 94405906?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let t(k) = -2*k**3 + 3*k**3 + 5 + 4 + k**2. Let r be t(0). Solve r = -4*j - 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 9:22 PM and 12:27 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let f be (-5)\/(-7) - (-12)\/42. Is (5 - f) + 2 + 139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 97 - 438. Let k = t + 377.2. What is k rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 2293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((1 + sqrt(5))*-4 + 3)*4)**2*-4.\nAnswer: -5184 - 512*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -474 - -354.2. Let f = 175 + k. Round f to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 6*q - q - f + 18, -5*q - 30 = 5*f. Let y = 7524 + -7527. Let t be (-5)\/(-1*(1 + 0)). Put y, q, t in decreasing order.\nAnswer: t, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*j = -0*d - 3*d + 13, j - 13 = -5*d. What is the second derivative of -4*f - 4*f - f**3 - 5*f**d wrt f?\nAnswer: -36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q(s) = 6415*s**2 + 8*s + 12. Let v(i) = -1052061*i**2 - 1310*i - 1965. Give -655*q(d) - 4*v(d).\nAnswer: 6419*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is (36\/12)\/(2\/16*-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.3 minus 0.507?\nAnswer: -0.807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let p(g) = -g. Let z(s) = -s**2 - 14*s - 2. Let i be z(-12). Let h(o) = -8*o - 2. Let b(n) = 41*n + 11. Let m(w) = i*h(w) + 4*b(w). Give m(p(j)).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let k(v) be the first derivative of -v**2\/2 + v - 40760. Let n(y) = 2*y - 1. Let a be n(1). Let w(u) = u. Calculate a*w(z) - 2*k(z).\nAnswer: 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -21910*z + 21937*z = 1485. What is the highest common factor of 1639 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 76174?\nAnswer: 2, 7, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: 415 divided by 10767\nAnswer: 415\/10767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {k: 9, q: 3, j: 4}. What is prob of picking 2 j and 1 q?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -b + w - 9 = 0, 2*b + 11 = b - w. Let s(f) be the second derivative of -f**4\/12 - 11*f**3\/6 - 4*f**2 - 73*f + 5. Determine s(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round 10212.359 to the nearest ten.\nAnswer: 10210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of 95120965 and 0.1?\nAnswer: 9512096.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Simplify z**(2\/5)\/z*z**19 assuming z is positive.\nAnswer: z**(92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Convert 4614.847 litres to millilitres.\nAnswer: 4614847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Is 108041257787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let u(m) = m**2 - 8*m + 8. Calculate u(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let t(k) be the third derivative of k**6\/3060 + 2*k**5\/255 - 5*k**3 - 5*k**2. Let a(m) be the first derivative of t(m). Factor a(l).\nAnswer: 2*l*(l + 8)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 30*l = -59*l + 178 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Solve 172*u + 140 = 137*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: -20082 divided by -6\nAnswer: 3347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of ((-203)\/(-4))\/((-2)\/(-8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round 82.20933 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Convert 0.2929936mm to nanometers.\nAnswer: 292993.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 254 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let q(b) = 23*b + 13. Let f(c) = 11*c + 6. Let g(u) = -9*f(u) + 4*q(u). Let k(y) = 6*y. Calculate k(g(p)).\nAnswer: -42*p - 12","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} -{"text":"Question: What is the biggest value in 2\/7, -0.2, 2\/9, 414, -23, -4\/5?\nAnswer: 414","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let i be -4 - (0 + (-1 - 1)). Let z be -2*(9\/6 + i). Differentiate -a + 3 + 1 + 4*a + z wrt a.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from phphppfppppphpp. What is prob of picking 2 h and 2 p?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the qth term of 48310, 49449, 51344, 53989, 57378?\n\"Answer: -q**3 + 384*q**2 - 6*q + 47933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*i = -n + 5, -6*i + 14 = -i + 4*n. Let u(p) be the third derivative of 7*p**4\/12 + 5*p**3\/6 + 7*p**2. Is u(i) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Work out 0.4 * 115.646.\nAnswer: 46.2584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let k(n) = 3635*n + 167229. Calculate k(-46).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -d + 90 + d - 7088*d**3 + 7081*d**3 + 5*d**2.\nAnswer: -7*d**3 + 5*d**2 + 90","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let h(x) = x**2 - x - 1. Let y(z) = -3*z**2 + 5*z + 4. Let n(q) = 2*h(q) + y(q). Let k be n(2). Find the first derivative of -5 + 2*a**2 + k - a**2 wrt a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v(h) = -14*h**2 - 2120*h + 20263. Calculate v(9).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from fddffddd. Give prob of picking 3 d.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -0.134 - -1797247450.\nAnswer: 1797247449.866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Express (0*l + l - 3*l)*(0 + 3 - 1) + 5*l - 209*l - 227*l as v*l + i and give v.\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 705?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Product of 648710.48 and -0.5.\nAnswer: -324355.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let l(t) = 12*t - 80. Let q be l(7). Let i be (6\/(-2))\/((-3)\/4). Suppose -i*y + 6*y = 10. Solve 0 = r + q*r + y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Add -2660 and -5.\nAnswer: -2665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -1358 in 18, -1\/4, 0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let i be (-2)\/(-2) + 3 + 0. Let m be -2 + 0 - (-115)\/1. Suppose -5*b + 15 = 0, 4*s - 12 - m = b. Solve 0 = 3*d + 5*n + s, 5*n = 4*n - i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -4*l**3*q*w + 32*l**3 + l**2*q*w - 3*l**2*q + q + 3*w wrt l?\nAnswer: -24*q*w + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is 31 (base 6) in base 14?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Divide 1 by -5410.\nAnswer: -1\/5410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 9 + 404 - 87*p**2 + 70.\nAnswer: -87*p**2 + 483","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Does 165 divide 107745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 1 in -0.1, -642, 3\/8, 16?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of 1622.88 and 0.02?\nAnswer: 32.4576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 132 - 120. Suppose g*u - 1232 - 724 = 0. Calculate the remainder when u is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 8 + -13 + 14 + -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 89561\/28 - 3198. What is the common denominator of (0 - (-6)\/10) + 28160\/(-3600) and d?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: 53 * 1.99039\nAnswer: 105.49067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let x(m) = -2*m**2 - 2*m + 3. Let n = 49 - 45. Suppose 2*d + 3*q = -2*q + 19, n*d - q = -17. Calculate x(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of 315 and 135.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is 270 divided by 15?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*i = -i - 24. Let r = i - -12. Suppose -5*l = u - 3*u - 5, 3*u = 3*l + r. Solve -f = -l - 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put -8719, 64, -36 in ascending order.\nAnswer: -8719, -36, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 29.83082 + -29.89. Let s = h - -0.34048. Let b = s + -0.33. Round b to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 3733 + 6816 - o - 2478.\nAnswer: -o + 8071","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 8280 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 7 + -4. Suppose -k + 224 = 3*k. Is r\/2*k\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q be (-1 - (-20)\/8)*24. Calculate the greatest common divisor of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 13, what is 30632 - -2?\nAnswer: 30634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 73 - 50 - -44 - 49.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*z + 3*r + 36 = 0, 0 = -2*r + 4*r + 10. Let q be 24*(22\/(-11) - 13\/(-4)). Suppose -21*l + q*l - 9 = 0. Solve -4*u + l = -z for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 19313316 to the power of 1\/3, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 3:46 PM and 4:35 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*j = j, j + 42 = 3*l. Let w be (3 - l\/6)\/((-1)\/6). Let x(h) be the first derivative of h**4\/4 + 4*h**3\/3 - h**2\/2 - h - 1. Determine x(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -101\/296 and -119\/172344.\nAnswer: 6376728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -10 - -12. Suppose 2*w - 68 = -u*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 287 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 256 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Is 44 a factor of 224 - 44 - (10\/2 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 81.73 plus -31863113?\nAnswer: -31863031.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is 253 minutes before 12:49 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Is -836 greater than -835?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 0*w + 8*w + 0*w**3 - 8*w + 2*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 745821, 745870, 745917, 745962, 746005, 746046?\nAnswer: 746085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Is 10 a factor of 124805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Express (0 - 2*c + 0)*(28 + 2*c + 35 - 16) - 5*c**2 + 4*c**2 + 0*c**2 as h*c + b + l*c**2 and give h.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-3*u**3 - 4*u**3 + 5*u**3)*(6*u - 2*u + 2*u) + (0 - 1 + 2)*(-3*u**2 + 3*u**2 + u**4) to the form n + g*u + q*u**2 + w*u**3 + o*u**4 and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Is -0.09235 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let m = -821 + 861. Solve 18*f = 8*f - m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 3*z + 76*z + 318 = 26*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence by when two letters picked without replacement from iyobyozzzzyoyzzz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let z(y) = -63*y - 61. What is the tens digit of z(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -112.622 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (w**(-2\/11)*(w*w**(-6)*w)\/w)\/(w**(-1\/3)*w)**(2\/45) assuming w is positive.\nAnswer: w**(-7739\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let i be 4 + -3 + 2 + -1. Let q = -98 - -201\/2. Which is the fourth biggest value? (a) 5 (b) -0.2 (c) i (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*a - 135 = -8*a. Does 19 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(b) = 7*b. Let z(s) = -13376*s. Determine z(a(k)).\nAnswer: -93632*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Convert 6 (base 7) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve 6*q**3 - 111*q**2\/2 + 27*q\/2 = 0 for q.\nAnswer: 0, 1\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let i(q) = 16*q**2 - 6*q - 6. Let c be i(5). Suppose -c = -6*p + 170. Calculate the remainder when p is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -562*t - 140*t = -10*t + 2768 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 155.2 or -0.113?\nAnswer: -0.113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 651, 1041, 1445, 1869, 2319?\nAnswer: 2801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let n(g) be the first derivative of -g - 1\/2*g**2 + 1\/3*g**3 + 2. Let c(b) be the first derivative of n(b). Differentiate c(v) with respect to v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 12, what is 15 - -655?\nAnswer: 66a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is 33 minutes after 8:43 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -510, -518, -540, -582, -650, -750, -888?\nAnswer: -1070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 255, -317, -887, -1455, -2021, -2585, -3147?\nAnswer: -3707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Simplify y\/(y*y**(-21)*y)*y*y*y*y\/y**3*y**(-5)\/(y**16*y) assuming y is positive.\nAnswer: 1\/y","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Round 1.24515 to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let b = -4\/127697 + 766202\/638485. Factor -23\/5*d + 7\/5*d**2 + b.\nAnswer: (d - 3)*(7*d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 2.5 + -2.4. Let w be 3\/(-6) - 2\/(-20). Which is greater: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(96)\/(2*sqrt(6)))\/(sqrt(8) + (1*sqrt(88))\/sqrt(11)) + -5.\nAnswer: -5 + sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let b = -23738 + 23743. Suppose -3*f = 4*q + 14, q - 2 = -2*f + 4*q. Put 11, 3, f, b in ascending order.\nAnswer: f, 3, b, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express 14*t**2 + 63*t**2 + 50*t**2 as m + z*t**2 + y*t and give z.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is -3 + (-3 - (14 + 5)) - (-1 + 2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let z = -0.200308 - -0.305965. What is z rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 1929*f**3 + 5*f**2 - 5*f**2.\nAnswer: 1929*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Suppose k - 167 = -3*t, -4*t + 221 = -0*t + 3*k. Suppose -o = -57 + t. Find the common denominator of 27\/2 and 69\/12*(o + -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: (17 - 4) + (722 - 684)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 9461*a**2 - 4735*a**2 - 4740*a**2.\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let o = -118 - -170. Suppose -o = -3*s + 83. Suppose s*v = 46*v. Solve 3*k - 2*k - 4 = v for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -646*d = -666*d - 20 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 1946 + -1913. Sort 0.1, -0.1, 4\/3, l in ascending order.\nAnswer: -0.1, 0.1, 4\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -1*2*2\/(-38)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Sort 50, -3, -25, 1, 0 in increasing order.\nAnswer: -25, -3, 0, 1, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let h(u) = 320*u**3 - 423*u**2 + 8*u. Let n(j) = -214*j**3 + 282*j**2 - 5*j. Let r(v) = 5*h(v) + 8*n(v). Find the third derivative of r(q) wrt q.\nAnswer: -672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose l = -5*g - 368, -2*g = -4*g + l - 150. Let b = -48 - g. What is the remainder when 48 is divided by b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of 579303 and 579303.\nAnswer: 579303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 645 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate ((-91)\/(-49))\/(117\/1638).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Is 5304612701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: How many weeks are there in 16499960.82ms?\nAnswer: 0.02728168125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let s(k) = -k**2 + k - 1. Let f(i) = 59*i**3 - 18*i**2 - 5*i + 5. Let j(d) = -f(d) - 5*s(d). What is the third derivative of j(a) wrt a?\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -7 in -2\/9, 0.2, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let x(j) = -3*j**3 + 2*j**2 - j + 6. Let p be x(3). Put -4, p, -3 in ascending order.\nAnswer: p, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*s = -7 - 3. Let c(v) = 10*v**2 - 4 - 9*v**s + 2 - 5*v. Is c(9) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from forrerg. What is prob of picking 1 o and 1 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Is 35173612865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Is 96743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 8*n = 3*n. Suppose -5*t + 2*i = -93, 3*t + 3*i + n*i = 39. Let o(g) = g**2 - 38*g + 377. What is the remainder when o(23) is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -84 + 300. Let k be 27*(-9)\/(n\/(-688)). Calculate the highest common factor of k and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 a and 1 n when two letters picked without replacement from {d: 5, n: 1, a: 4}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*k = -4*m + 693, 222 = 2*k + 5*m - 240. What is the greatest common divisor of k and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: -1985.6 - 515681\nAnswer: -517666.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let g(q) be the second derivative of 1\/2*q**2 - 3*q - 1\/6*q**3 + 0 - 1\/12*q**4. Let l(b) = -b**3 - b**2 + 4*b + 1. Let p(m) = 4*g(m) + l(m). Give p(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(j) = 18*j - 196. Let l be s(11). Let i(m) = 57*m - 101. Let q be i(l). What is the greatest common divisor of q and 299?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((l**(4\/3)*l)**28)**(-16)\/((((l*((l\/l**5)\/l)\/l*l)\/l*l*l)\/((l**4*l)\/l))\/(l**(-1)\/l)**(-47)) assuming l is positive.\nAnswer: l**(-2833\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let j(l) = 2*l**2. Suppose -2*v = -5*v + 3. Let h(m) = -1 + v + 22*m + 0. Give h(j(w)).\nAnswer: 44*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -393399 or -393242?\nAnswer: -393399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 921056790?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(12)\/(sqrt(2) - (sqrt(2) + sqrt(10)\/sqrt(5))))\/(sqrt(33)\/(2*sqrt(11))).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*o = 9, 0 = -h + o - 5*o + 7. Let f be h\/(-3)*(4 - 31). Let g = -26 - f. What is the remainder when 56 is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -95*v + 31*v - 64 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let b = -0.00842 - -9.22642. Let u = -10.82 + b. What is u rounded to 1 dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 276\/207*(-63)\/60?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Divide 2684136 by 4.\nAnswer: 671034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let g(l) = l**3 - 420*l**2 + 403*l + 6723. Give g(419).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (1\/(-4))\/(40\/(-64))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 0 - (3 + (-4 - -6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 2915\/123 - 4\/123. Let s = g - 23. Factor 8\/3 + 8\/3*n + s*n**2.\nAnswer: 2*(n + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 63.4 - 63. What is the smallest value in 21, n, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z(f) = 5*f**2 + f. Let u be z(-1). Suppose 3*r - 48 = w + 2*w, 4*w + 50 = 3*r. Suppose 28*l = 26*l - 2*c + 12, -3*l = -c - r. Are u and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 32107.739864 - 32108. Let m = 11.74 - 12. Let r = t - m. What is r rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Total of 2 and 587.\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (18 - -2) + -3 - (-2005600)\/(-117760).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (x\/x**10)**13 assuming x is positive.\nAnswer: x**(-117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Solve 11*h**2 + 191*h + 240 = 0.\nAnswer: -16, -15\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -23*p + 1 - 20*p + 42*p + (2*p + 2*p - 3*p)*(4 - 1 + 3) to f + j*p and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let t(d) = -5 + 6*d**2 + 4*d - d + 2. Calculate the remainder when (((-237)\/2)\/3)\/(172\/(-344)) is divided by t(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 9, what is -263706 + -12?\nAnswer: -263718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is -11948360 rounded to the nearest 100000?\nAnswer: -11900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: In base 3, what is -10122111220 + -11?\nAnswer: -10122112001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -5*(((1 + sqrt(1008) + sqrt(1008) - sqrt(1008))*-6 + 4 + sqrt(1008)*2 + (sqrt(1008) - 1*sqrt(1008)*-2)*-6)*-2)**2.\nAnswer: -9757520 - 21120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let g be (9 - 51\/6)*(-1)\/(-4). Let n(c) be the second derivative of g*c**2 + 0 - 1\/48*c**4 + 2*c + 0*c**3. Factor n(f).\nAnswer: -(f - 1)*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 9091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 131648 - 83713. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 1101*l - 1112*l**2 - 1101*l.\nAnswer: -1112*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let o be -1*4\/2 + 14. Let t be 5\/((-15)\/(-6)) - -1. Suppose -t*b + 5 + 10 = -q, -q - 11 = -2*b. Solve -b*a - o = -4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*v + 5*a = -4*v - 32, 5*v + 27 = -3*a. Let u = 73 - 73. Let h be (-3)\/((-3)\/2 - 0). Put h, u, v in descending order.\nAnswer: h, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -18687 + 18686.99985404. Round u to 6 decimal places.\nAnswer: -0.000146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 2020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate ((-2394)\/189)\/((70\/(-21))\/(-10)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Sort 14, -38, -1, -2, 759.\nAnswer: -38, -2, -1, 14, 759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -7 = -4*o - 47. Let i(x) = 3*x - 5. Let s(b) = -2*b + 3. Suppose -j - 2*y = 3*j + 16, -14 = 5*j + 4*y. Determine j*i(v) + o*s(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let g(v) = 2*v - 3. Let l be g(5). Let p(w) = -w - 3. Let b be p(l). Let r be (-2 + b)\/(-2) + -3. Which is smaller: 3\/2 or r?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -4880 - -4913. Let m(f) = f**3 - f**2 - 2*f. Let r be m(2). Suppose r = -n + 10 + 5. Solve 4*k - v = 5*a, 2*a + n = -a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide 120 by -6.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 4711427?\nAnswer: 7, 29, 23209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is 689 minutes after 11:36 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let i(o) = o**2 - 7*o + 2. Let d be (-3)\/(-2) - 11\/(-2). Let q be i(d). Suppose -3*v - m + 5 = 0, 6*m = 4*m - 8. Solve v = r - q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 84735 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -879 - -1626. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h(b) = 41*b - b**2 + 20 - 32*b - 9*b. Give h(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: 86520 divided by 8\nAnswer: 10815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Factor c**5\/7 + 6*c**4\/7 + 9*c**3\/7 + 4*c**2\/7.\nAnswer: c**2*(c + 1)**2*(c + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Sort 3\/8, -20, -0.4, 0.\nAnswer: -20, -0.4, 0, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -631 - 19 = 5*i. Let c = 239 + i. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of 6 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -2 in 1, 5, -1953?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let c = 26 - 24. Let x be (-1)\/((3\/2)\/(-3)). Let m be (-5)\/(-110)*(x + (-8)\/(-4)). Sort m, c, -2.\nAnswer: -2, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth biggest value in 0.3, 1\/4, -11.1, 268, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-3*(sqrt(228) + (-2*sqrt(228) - sqrt(228))) + 4*sqrt(228)*-1)\/(sqrt(24)\/((sqrt(2) - -3*sqrt(2))*4)).\nAnswer: 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let p(n) = -n**2 + 28*n + 3. Let v = 120 - 92. Let j be p(v). Suppose x + 13 = 4*q, -2*q = -2*x - 7*q + 26. Solve 2*r - 1 = 3*t, x - 6 = -3*r + j*t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -180*a + 608*a + 3128 + 9712 = 0 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is 3\/((9 - 15)*(-3)\/(-12)*-3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is (168\/21)\/24*(-300)\/4?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 5:33 AM and 4:35 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let l(c) be the first derivative of -2*c**6\/3 + 4*c**4 + 17*c**2\/2 - 18*c + 846. What is the second derivative of l(q) wrt q?\nAnswer: -80*q**3 + 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p = 12 - 7. Suppose p*j + 1 - 16 = 0. Find the third derivative of -3*r**2 + 5*r**2 + 2*r**3 - 3*r**j wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 13, what is a6 - -177b4?\nAnswer: 1788a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let b = 14 - 9. Suppose -3*w = -k + 2, -b*k + w + 10 = 5*w. What is the first derivative of n**4 + 0*n**4 - 1 - k*n**4 wrt n?\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-3 + 3 + 4*c**2)*(3 - 3 - 2*c) - 3*c**3 - 3 - 6*c + 6*c.\nAnswer: -11*c**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is 3 - -95?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Is 1994916353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -37416 + 37419. Solve 0*i**2 + 0 + 1\/3*i - 1\/3*i**a = 0 for i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the lowest common multiple of 66956 and 18?\nAnswer: 602604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -73 = 4*w - 945. What are the prime factors of w?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*k = 5*j + 20, -j - 4463*k + 4461*k - 12 = 0. Factor 1\/2*w**5 - 7\/2*w**2 - 3*w + 7\/2*w**j + 0 + 5\/2*w**3.\nAnswer: w*(w - 1)*(w + 1)**2*(w + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 722697 is divided by 188?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Simplify sqrt(33)\/(sqrt(3) + 3*(sqrt(3) + 4*sqrt(3) + sqrt(3)) - sqrt(3)).\nAnswer: sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let c = -527 - -501.8. What is c rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from zrrzrxsgzrmrrzrgss. What is prob of sequence gg?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -501621*i**3*n**3 - 16*i**3 + 2*i**2*n + 2*i - n**2 - 139*n wrt n?\nAnswer: -3009726*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second biggest value? (a) 1\/1414 (b) 0.044 (c) 3\/8 (d) 4\/39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 2 x and 1 m when three letters picked without replacement from {m: 2, x: 3, n: 4, s: 9}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 612 and 21.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let m be (-10*1\/3 + 4)*-12. Let q(n) = 23*n**3 + 3*n**2 - 16*n - 44. Let a be q(m). Round a to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 22 in 80, 0.023, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 1014 and 5408.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let i = -737 + 739. What is the second derivative of -160*g**i - 3 - 5 + 7*g - 6*g - 17 wrt g?\nAnswer: -320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 6 >= 390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Is 1110243 a multiple of 458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 1 = -z - h, 0 = 4*h + 3 + 9. Suppose 20 = 5*m, -6*w + 3*m - 4 = -z*w. Factor w - 3*u**2 + 2 - 5 + 4*u.\nAnswer: -(u - 1)*(3*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth biggest value in 501156, 4, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let a(p) = p**3 + 39*p**2 + 29*p + 295. Is a(-37) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p(y) = 90277*y**3 - 3*y**2 + 11*y + 6. Let g be p(-6). Round g to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence uc when two letters picked without replacement from uyuycuuuy.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let o be (-12)\/(-20) + -3 - -4. Suppose 12*d + 13 = 13*d. Suppose -d = 4*n - 21. Do o and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 9, what is 207 - 631?\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 1359895, 2719949, 4080005, 5440063?\nAnswer: 6800123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 60 + 139*x - 60.\nAnswer: 139*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let t(a) = -39*a - 1033. What is t(-19)?\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Sort -3, -4, 52, -19, -1, -5, -2.\nAnswer: -19, -5, -4, -3, -2, -1, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -w = w - 14. Suppose 6*c - 2*c = 4*h + 4, 0 = c + 3*h - 17. Suppose 2 = -j - 3*n, 2*j + 6*n = c*n + 21. What is the remainder when j is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve h**2\/5 - 56*h\/5 = 0 for h.\nAnswer: 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 57306390 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 1 + 9. Calculate the lowest common multiple of 7 + 5 + -3 + -5 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 21*g - 18 - 66 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 228 and 45258?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 1378428.\nAnswer: 2, 3, 17, 29, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let h**5\/3 - 4*h**4\/3 - 26*h**3\/3 + 32*h**2\/3 + 25*h\/3 - 28\/3 = 0. What is h?\nAnswer: -4, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let o(s) = 9*s**2 - 14*s**2 + 2 - 6*s + 6*s**2. Let m = 66 + -40. Let y = -22 + m. Give o(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-x + 5*x + 2*x)*(-14*x + 16*x + 10*x).\nAnswer: 72*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Convert 9995.728ng to milligrams.\nAnswer: 0.009995728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the zth term of 151074, 151054, 151024, 150978, 150910, 150814?\n\"Answer: -z**3 + z**2 - 16*z + 151090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -493*s**5 + 65*s - 2.\nAnswer: -9860*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let z = -31305442.3 - -29330251. Let c = z + 1975192.4000043. Let r = 1.1 - c. Round r to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 6788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let s(j) = -7*j**2 + 26*j**3 + 17 + 10*j + 0*j**2 + 19*j. Let h(t) = -9*t**3 + 2*t**2 - 10*t - 6. Let k(c) = 17*h(c) + 6*s(c). Factor k(i).\nAnswer: i*(i - 2)*(3*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -38538*t**4 + 1784*t - 6 wrt t.\nAnswer: -462456*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate 2*s**4 + 15066*s**3 - s - 26986.\nAnswer: 8*s**3 + 45198*s**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Is 778439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 0.1 in 0.13, -3, -4, 0.2?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the nth term of 137624, 135175, 132726, 130277, 127828, 125379?\n\"Answer: -2449*n + 140073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fifth smallest value? (a) -2\/3 (b) 1\/3 (c) 2\/7 (d) -2\/5 (e) 2\/119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -3432, -13822, -31148, -55410, -86608, -124742?\nAnswer: -169812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 581 - -544. Suppose 5*z + q = 10*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 26447836*y**2 + 20371116*y.\nAnswer: 52895672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let n(l) be the third derivative of 11*l**9\/252 + 23*l**5\/60 + 13*l**2. Find the third derivative of n(p) wrt p.\nAnswer: 2640*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor 2*p**2\/7 - 787274*p\/7 - 9447576\/7.\nAnswer: 2*(p - 393649)*(p + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 0.085*570.\nAnswer: 48.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let k(t) = 12 - 6 + 11 + 7*t. Let p(d) = -28*d - 69. Let a(m) = 9*k(m) + 2*p(m). What is the remainder when a(5) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*s - 3 = -4*g - 0, 0 = 5*g - 2*s - 12. Solve 4*j - 16 = g*u, -2*j - 16 = 4*u - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 289652 and 79973916?\nAnswer: 9988","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Solve 10*q - 18 = -8*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 1 = 3*i - 11, -3*z - 3*i = -165. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort -4, -7, 3, 871 in ascending order.\nAnswer: -7, -4, 3, 871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: In base 15, what is -4 - -66?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -80189\/16 - -5010. What is the common denominator of 0 - (1 + (-67)\/(-32)) and h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.9 times 2554?\nAnswer: -2298.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let y(i) = 26*i - 6. Let j(l) = -8*l + 2. Let b(g) = -16*j(g) - 5*y(g). Let z be b(-6). What is the tens digit of (-473)\/(-3) + (-4 - z\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 12974805?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Solve -87*t - 23*t - 37*t - 7150 = -4*t for t.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Work out 3455 - 15009.9261.\nAnswer: -11554.9261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of ((540\/(-15))\/12)\/((-210)\/(-36) + -6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 1\/4 (c) -38\/5 (d) -152 (e) 0.05 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let f(r) = r**3 - 3*r**2 + 4*r + 5. Let a be f(5). Let c be (-4)\/10 + 10530\/a. What is the highest common divisor of c and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 4*(sqrt(2) + (sqrt(2) - sqrt(50)*-3) - sqrt(10)\/(sqrt(245) + sqrt(5))).\nAnswer: 135*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Expand 2*x**2 + x - x + (-2*x + 0 + 0)*(13 + 7*x - 13) - 2*x + 2*x**2 + 2*x + (-2 + 2 + x)*(2*x - 2*x - x).\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Convert 41.8529um to kilometers.\nAnswer: 0.0000000418529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -111 divided by -6.\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let c(k) = k - 1. Let a be c(1). Let y = 13 - a. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p(c) be the third derivative of -c**6\/8 + 38*c**3\/3 - 28*c**2. What is the derivative of p(j) wrt j?\nAnswer: -45*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 71*x**2 + 6209 - 6209 + (4*x + 0*x - 2*x)*(-3 + x + 3) + 237 + 47*x**2 - 237 to a*x**2 + q*x + t and give a.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from {i: 5, j: 15}?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: In base 14, what is -139 + 0?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 16 and 1258296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let s(q) = q + 7. Let v be s(-5). Suppose v*u = -0*u. Let b = 9 + u. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is ((-100)\/(-135))\/((-104)\/(-1404))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of 17299146*k + 14453682 wrt k?\nAnswer: 17299146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 67009 and 565.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -11, -85, -281, -659, -1279, -2201, -3485, -5191?\nAnswer: -7379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 7267334 and 8074?\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let r(j) = -5*j + 2. Let i(l) be the third derivative of 5*l**4\/12 - 5*l**3\/6 - 6*l**2 - 2*l. Determine -2*i(u) - 5*r(u).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the kth term of -936, -892, -848, -804, -760?\n\"Answer: 44*k - 980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let x(b) = b + 25. Let g be x(-12). Put -1, g, -3 in increasing order.\nAnswer: -3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 1 or 53\/1203291?\nAnswer: 53\/1203291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Is 3264396481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let f(u) = 22*u**2 - 16*u + 67. What is the hundreds digit of f(-28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort 181413, 1, 32 in increasing order.\nAnswer: 1, 32, 181413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 3350206851 to the nearest integer?\nAnswer: 1496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let z(p) = -p**3 - 15*p**2 + 15*p - 43. Let l be z(-16). Suppose -6*u - 2*u = 208. Which is smaller: l or u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((v*v*v**(-5)\/v*v*v)\/(v**(2\/13)*v))\/(v*v**(-1\/4))**(-8\/7) assuming v is positive.\nAnswer: v**(-209\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of 1130343007*a**2 + 9856*a - 14889 wrt a?\nAnswer: 2260686014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {m: 2, l: 5}. What is prob of sequence mlml?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Convert 8.233845cm to meters.\nAnswer: 0.08233845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.00006729 rounded to 6 decimal places?\nAnswer: -0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -b - 3*b - 2*j + 2, -3*j + 113 = 5*b - 0*b + 111 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: -305211 (base 7) to base 16\nAnswer: -cc12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence nv when two letters picked without replacement from {o: 2, v: 1, n: 2, c: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from gsfsssspp. What is prob of picking 1 s, 1 g, and 1 p?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let j(d) = -189*d. Let l(v) be the first derivative of -21*v**2\/2 + 5222. Calculate l(j(r)).\nAnswer: 3969*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3 = y - 3*l, -36*l + 61 - 127 = 5*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let w(n) = 6*n**2 - 2*n - 4. Let m be (8\/6)\/(15\/(-45)). What is the hundreds digit of w(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 3*s**3 + 15*s**3 + 3*s**3 - 7*s**3 + 23*s**3.\nAnswer: 37*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Expand d + 0 + 0 - d + 4*d - 4*d + (-7 + 2*d + 7)*(-1 - 1 + 1) + d - d - 2*d - 1 + 1 - 3*d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 1109 - 1106. Let z = 0 - 0.07. What is the nearest to f in 2, z, -5\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide -325 by 1.\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 1788509 is divided by 191?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -9*r + 3*r - 9 - 8*r**2 + 5*r + 172*r**3 - 326*r**3 + 162*r**3 to a*r + j + s*r**3 + l*r**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: 72816\/22140*(-135)\/(-6)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 46 - 0.068.\nAnswer: 45.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -251 = -10*n - 11. Let m = -146 - -160. What is the least common multiple of m and n?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 4314048103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*b - 5*s + 9 = -7, -47 = -3*b + 4*s. Calculate the remainder when b is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide -966 by 14.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -29\/21 and 14\/13?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let y(q) = 5*q**2 + 3*q - 37. Let i(j) = 14*j**2 + 9*j - 104. Let l(g) = -6*i(g) + 17*y(g). Calculate l(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-183)\/87 - (-45)\/27*((-574)\/(-70) - 7).\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -15\/7 and 27\/3311602?\nAnswer: 3311602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 13\/16386 and -95\/21848.\nAnswer: 65544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Multiply -6284 and -22423.\nAnswer: 140906132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 182 - 177. Solve 5*m = -0*m + 5*d - 20, 0 = 5*d - a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 0*(-44)\/1056 - (1 + -33).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let -f**2\/2 + 2993*f - 8958049\/2 = 0. What is f?\nAnswer: 2993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -5 + (3 + 0 + sqrt(117) + 4 - (-3*(sqrt(117) - sqrt(117)*-2) + sqrt(117) + -4*sqrt(117)*2 + sqrt(117)))**2 + -3 + -5.\nAnswer: 672*sqrt(13) + 29988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is the biggest value in 0.2, 5, -4\/3, -16\/13, -5, -20, 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the millions digit of 11662509?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(44) + -1)*3.\nAnswer: -3 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let y(g) = -3*g. Let p(q) be the second derivative of -q**4\/8 - 12*q**2 - 5*q. Let z(x) be the first derivative of p(x). Give y(z(v)).\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*w - 1 + 0 = -b, -5*w = -5. Let i be (-2)\/b*(-2)\/3. Let a = -2465.4 + 2465. What is the nearest to -4 in a, 1\/4, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-6 - -3) + -9 + (5 - (-20 - 0)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Expand (2712 + 572*f - 2712)*((1 - 5 + 3)*(-4 + 1 + 4) - 3 - 2 + 3 - 1 + 1 + 2) + 0 + 0 + f - f + 0 + 0 - 2*f + 4*f - f + (3 - 2 + 1)*(5*f - 2*f - f).\nAnswer: -567*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 224 - 65. Let g = 159.00069 - l. Round g to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 7137 = -155*h + 948*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Work out -0.5 * -1.97856.\nAnswer: 0.98928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let c = -4 - -7. Let g(r) = -r**2 - 8*r - 4. What is the least common multiple of g(-6) and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round 43.312 to the nearest integer.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 37102 is divided by 205?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Does 301 divide 2128672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 16\/5 - 27\/10. Let l(d) be the second derivative of -3\/20*d**5 - g*d**4 + 0 - 6*d + 0*d**3 + 0*d**2. What is the third derivative of l(a) wrt a?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i = -0.405 - -0.505. Which is the closest to 0? (a) i (b) -33 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 21 divide 6090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Express -d**3 + 5*d**3 - 2*d**3 + (29 + 5*d**2 - 29)*(-8 - 4*d + 8) as q + l*d + v*d**3 + j*d**2 and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Convert -183 (base 14) to base 9.\nAnswer: -375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 21818734 divided by 5507.\nAnswer: 3962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 1515360 and 107338.\nAnswer: 25761120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 4960788 is divided by 438?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is 12171006 (base 9) in base 4?\nAnswer: 112231001022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-4 - 238\/4) + (275\/(-50) - (-13 + 6))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(u) = -4*u. Let f(w) = w + 4. Let k be f(-3). Let z(a) = k - 1 + 0 - a**2. What is o(z(h))?\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*t = 0, -5*t - 10 = -2*n - t. Suppose 2*o + 11 - 34 = n*i, 0 = -5*o + 5*i + 65. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(m) be the first derivative of 0*m**2 + 0*m + 5 - 80\/3*m**3 + 49\/4*m**4. Find the third derivative of b(z) wrt z.\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-48)\/(-24)*(-4)\/(-2)*16\/(-4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Expand -172932 + 172932 - 192*p**3 - p**4 + (2 + p**3 - 2)*(4*p - 2*p + 0*p) + 7*p**4 + 7*p**4 - 7*p**4.\nAnswer: 8*p**4 - 192*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((-5*sqrt(66))\/sqrt(11))\/(sqrt(12)\/(2*sqrt(6))).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 3360 and 78685600.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Express 9 + 27*x - x**4 - 2*x**2 - 12*x**3 - 9 + 14*x**3 - 2 in the form f*x**3 + i*x + j*x**4 + l + r*x**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is the millions digit of 466453174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Product of 3.9 and 1417.01.\nAnswer: 5526.339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred thousands digit of 2007663907?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from mmsiiistmiwi.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let c be ((-2)\/8)\/(1\/4). Let f(d) = 4*d**2 + 2*d + 2. Does 4 divide f(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is -11268 less than -11268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 7.07 + -387.07. Let u = f + 380.1. Which is greater: 0.06 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -3765737*j**5 + 2*j**2 - 1276682*j?\nAnswer: -75314740*j**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 688874 is divided by 125.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*v - 12 + 0 = 0. Calculate the remainder when 28 is divided by 2 - (2 - 34)\/v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(g) = 14*g - 17. Let r(z) = -9*z + 11. Let h(n) = -14*n + 8. Let o be h(0). Let b = 27 + -22. What is b*k(c) + o*r(c)?\nAnswer: -2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {c: 1, r: 5, e: 3, y: 3}. Give prob of picking 2 e and 2 y.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 5466 + -43661\/8. Let j = g + -977\/88. Find the common denominator of -19\/2 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: 1723420 divided by 20\nAnswer: 86171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Is 36243059693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 541950 and 1350.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 3*y - 9, -2*y + 6 = -61*f + 60*f. Let h(l) = -l**2 - 2*l - 45. Calculate h(f).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 10*j - 7*j = 6. Let x(f) = -f**j + 2*f**3 - 5 - 2*f + 6*f + 2*f + 5*f**2. Is x(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(48) + sqrt(12))*3.\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when -14*24\/(-42) - -121 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence wjn when three letters picked without replacement from wnwnnwwnnjnwn?\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Suppose b - 224 = -212. Suppose 0 = -14*q - b*q + 104. Factor 0 + 3\/4*w**5 - 3\/4*w**3 + 3\/4*w**2 - 3\/4*w**q + 0*w.\nAnswer: 3*w**2*(w - 1)**2*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of -3674.7 and -0.1?\nAnswer: 367.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 627, 603, 659, 837, 1179?\nAnswer: 1727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -20159, -40319, -60479?\nAnswer: -80639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let n(m) be the first derivative of 20*m**6\/3 - 332*m**5\/5 + 1469*m**4\/8 - 359*m**3\/6 - 14*m**2 + 8*m - 12217. What is a in n(a) = 0?\nAnswer: -1\/5, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((v*v**(-1\/5))\/v*v*v*v*v**(-8\/5)\/v*v)**(-47) assuming v is positive.\nAnswer: v**(-282\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Solve 7*t = -87986 + 88084 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -2158, -2159, -2160, -2161, -2162?\nAnswer: -2163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*h = 2*g - 446, h - 4*h + 3*g + 276 = 0. Let s = -55 + h. 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 q = 2746589\/17 - 161563. What is m in -20\/17*m**2 + 2\/17 + q*m = 0?\nAnswer: -1\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round -356901.8 to the nearest ten thousand.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*k = 2*t - 32 + 22, 9 = -4*k - 0*k + 3*t for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Put 0.13, -4, -131.7898 in descending order.\nAnswer: 0.13, -4, -131.7898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-1)\/7 - (-220)\/560.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Express -3*p**3 + 4*p**3 - 3*p**3 + (-5*p**2 - 17*p + 17*p)*(2*p - 7*p - 11*p) as h + q*p**3 + x*p + y*p**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: (0\/107)\/(((-18)\/30)\/(7\/(-35)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: -506 or -507?\nAnswer: -506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Solve 2*b - 4 = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 101 + -363. Let c = k - -377. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-v**2 + 5*v**2 - v**2)*(5 + 4*v**2 + 5*v**2 - 16*v**2).\nAnswer: -21*v**4 + 15*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Does 1277\/455 = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the second smallest value in -2\/3, 83246, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is 7776 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 64530 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -1*(-3 + 3 + sqrt(1053) + 1).\nAnswer: -9*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 q and 2 z when three letters picked without replacement from jjzbjjjzq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 4:43 AM and 7:28 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 2\/8*(-160)\/72 and 64\/21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -4 - -8. Suppose -5*z - 11 = j, -j - u*z - 8 = -0*j. Suppose -j*m - 5 + 117 = 0. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 123200 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -l + 6*n = 9*n + 11, 5*l - n + 23 = 0. Suppose m = -3*m + 16. Let g(p) = p**3 + m*p**3 - 4*p**3. Let z(h) = 2*h**3 + 1. What is l*g(q) + 2*z(q)?\nAnswer: -q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 10.32 - 13.32. Which is the nearest to 0.2? (a) 2\/11 (b) 0.5 (c) n (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (h\/h**(-6))\/(h**(-10)\/h)*(h\/(h*(h\/(h*h\/h**(-8))*h)\/h*h))\/h**(1\/12) assuming h is positive.\nAnswer: h**(311\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 8597 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of (13\/((-39)\/2))\/(328*(-114)\/90) and 71\/164.\nAnswer: 3116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is -10047 greater than or equal to -10047?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let x be 0 - -4*(-2 - -3). Let t be (-2 + x - -1)*-11. Is (t + 19)\/(4\/(-86)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*h = 8 + 2. Let d(b) = b**2 + 8*b + 3. Let f be d(h). Let j be ((-1)\/(-2))\/((-3)\/f). Let g(m) = 4*m. Calculate g(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u be 0\/5 + (-79905692)\/(-4). Let o = -87972307 - -154648730. Let s = o - u. What is s rounded to the nearest one million?\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l be 4\/((-56)\/70) - 33\/(-1). Solve l + 2 = -6*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 29189*k**3 - 3*k**2 + 2*k - 323 wrt k?\nAnswer: 175134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let x(h) = -3. Let l(b) = -b - 13. Suppose 6*m - 45 = m. Let k be 6*(10\/6)\/(-5). Give k*l(q) + m*x(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of (205\/(-18))\/(-1) + -3 and -133\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: 3 + (-3 - 0) + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let u(d) = 13*d**2 + d - 1. Suppose -3 = 5*x + 4*j, 4*x = -4*j + 2 - 6. Is u(x) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(p) = -56. Let r(k) = k - 16. Let y(t) = 2*i(t) - 7*r(t). Let q(d) = -d - 4*d + 4*d. Give y(q(w)).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Solve -5*b + 3*d + 2 - 13 = 0, 0 = 3*b - d + 9 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Expand (3 + j**2 - 3)*(j - j - 2*j) + 3197*j**3 + 5*j**2 - 3229*j**3 + j**2.\nAnswer: -34*j**3 + 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*u - 2*m = 12, -3*m = 4*u - 7*m. Suppose -4*a = 4*q + 40, 0 = -2*a + 4*q - 30 - 2. What is the least common multiple of u and (a\/16)\/((-2)\/8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange c**4 + c - 30345*c**3 + 30299*c**3 + 1 + c to y*c**3 + u*c**4 + j*c + s + l*c**2 and give y.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Work out 16088 * -1.293.\nAnswer: -20801.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is 472 minutes after 4:43 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -1158 = 5*f - 2*u, -3*u + 229 = -5*f + 4*f. Let p = 29 - f. Suppose -7 = 2*k - p. List the prime factors of k.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*l + 41 = -4*u, -2*l - 2*u + 14 = -4. Solve -2*k - p = -3*k + 5, 0 = 2*k + 5*p + l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -44*a + 25*a + 16*a + 86*a**2.\nAnswer: 86*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 1 and 604223?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Solve -t - 97 + 2 = -59*y, 5675*y - 2*t - 71 = 5676*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: -2758\/2699 or 2\/47?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 5 + -5. Differentiate -4*l**3 + a + 7*l**3 + 1 wrt l.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 2 - 2. Let s(p) = p**3 - p**2 - p + 5. Let a be s(v). Let h(c) = -15*c**3 + 167*c**2 - 25*c + 31. Let g be h(11). Sort g, -10, a in decreasing order.\nAnswer: a, g, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(i) be the second derivative of -i**5\/20 - 7*i**4\/12 + 7*i**3\/6 - 3*i**2\/2 + 22*i. Let n be l(-8). Suppose n*k = 2*k + 9. Solve -2 = k*f + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(p) = 943895 - 19*p - 943895. Let x(q) = -13*q. Calculate -5*m(z) + 7*x(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Is 1 >= 5125\/339317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let v(y) = -14*y - 584. Let l be v(-43). Let g(d) = -d**2 + 5*d + 1. Let n be g(4). Suppose -7 = n*x + l, -h = -3*x - 134. What are the prime factors of h?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express -p**3 - 2373*p**2 + 3*p - 36 + 3*p**4 + 31 + 2371*p**2 - p**4 + 20 in the form n*p**2 + q + w*p**4 + g*p + z*p**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let x(b) = b**3 + 8*b**2 - 8*b + 11. Let l be x(-9). Suppose l*y - y = 0. Suppose 27*c - 22*c - 700 = y. What are the prime factors of c?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is ((-12)\/(-40))\/((-729)\/1215)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 7 - 6. Let y(i) = 2*i**3 - i**2 + i - 1. Let f be y(g). Which is the biggest value? (a) -0.1 (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(q) be the second derivative of q**4\/24 + 5*q**3\/6 + 19*q**2 - 64*q. Let k(g) be the first derivative of c(g). What is k(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(v) = -2*v**2 + 4*v - 2. Let d(p) = -2*p**2 + 5*p - 2. Let g(l) = 2*d(l) - 3*k(l). What are the prime factors of g(3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand ((-j + 0*j - j)*(-3 + 2 - 1) - 2*j + 2*j + 4*j)*(-2*j + 12*j - 4*j)*(-5 - 10*j + 5).\nAnswer: -480*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.1 - 492.4427092?\nAnswer: -492.5427092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*g + g + 20 = 0. Let m = 21 + g. Calculate the remainder when 2\/(141\/69 + -2) is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 1467*i**4*r + 2*i**4 + 315*i**3*r - 2*i**2*r - 132355061*i**2 wrt i?\nAnswer: 35208*i*r + 48*i + 1890*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 5122 - 5122 + 2*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 1055807 or -697?\nAnswer: -697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 1020372 is divided by 1228?\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is (-1*(-3)\/(-6))\/((-29)\/(-58))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(z) = -z**3 - 3*z**2 + 2*z + 5. Let u be n(-2). Which is the nearest to 9\/5? (a) 4\/7 (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 173 + 187 = -45*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the uth term of 5876548, 11753121, 17629694?\n\"Answer: 5876573*u - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0*z - 20*z - 601 = -161 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the fifth root of 3684536718 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 4 and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: In base 6, what is -342 + -4?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let d(k) = -498*k - 126. Is d(-14) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of -3330 + 50*p**2 - p**6 - 48*p**3 + 2*p**6 + 3330 wrt p.\nAnswer: 120*p**3 - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(m) = -7*m - 10. Let p(t) = 21*t + 17. Let k(a) = 11*a + 8. Let f(d) = 5*k(d) - 3*p(d). Let b(c) = c + 3. Let x be b(2). What is x*f(n) - 6*s(n)?\nAnswer: 2*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(24) + (sqrt(24) - (sqrt(144)*2)\/sqrt(6)))\/(sqrt(432)\/sqrt(12)))\/(-4*1*-2*sqrt(192)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let k(g) = -1157*g - 19674. Determine k(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let x(v) = -v - 8. Let m be 1\/(((-7)\/(-2))\/(-7)). Let g be m\/(-1)*22\/(-4). Is x(g) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w be (0\/2 - -1)\/(22\/(-10054)). Let t = w - -459. Find i such that 4\/13*i - 18\/13*i**4 + 0 - 4\/13*i**3 + 18\/13*i**t = 0.\nAnswer: -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (1344*y**2 - 1214*y**2 + 1113*y**2)*(-2*y - 3 + 3)*(-4*y**2 + y**2 + 2*y**2).\nAnswer: 2486*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-1*((2*sqrt(114)*2)\/(sqrt(36)\/sqrt(6)*-4) + -2))**2*2.\nAnswer: 8*sqrt(19) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -x + 0*x = 2*x. Let m be 96\/48 - (0\/1 + x). Suppose 2*s + 4*g = 154, 5*s = -0*s - m*g + 425. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 0? (a) 2 (b) 5 (c) 50.8 (d) 17 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is -2373 divided by -7?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: -285652.5 - -0.045478\nAnswer: -285652.454522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -2492 + 2449.06. Let p = 46.938 + n. Let z = 4 - p. What is z rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 27715000 rounded to the nearest one hundred thousand?\nAnswer: 27700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Is -26 greater than -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*w - 4*w = 10, -l = -w - 8. Suppose 0 = b - 2*b + 3. Differentiate -2*m + 2*m - 1 + 4*m**b - 10*m**l wrt m.\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(l) = 3*l**2 - 111*l + 482. Let q be c(32). Solve 3*m - 34 = -4*n - 41, 0 = -q*m - 5*n for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert 231.9576 years to decades.\nAnswer: 23.19576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 11*m - 9*m = 10. Solve -5*k - 29 = -2*x, -2*x + m*k + 27 = -x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten millions digit of 596756167?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Is 1888981379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} -{"text":"Question: Let s(r) = -25*r**2 - 1003*r - 118. Let t be s(-40). Solve -4\/11*v - 4\/11*v**t - 1\/11 = 0.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -8824032*c + 47771 - 47771 + 8824031*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Work out -4 - 0.05876.\nAnswer: -4.05876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 5*(-1 + 4*(-3 + (-1 + sqrt(448) - sqrt(448)) + 4))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {v: 17, d: 1}. Give prob of sequence vvvv.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let s be (2 + -8 + 7)*2. Let k(h) be the third derivative of h**6\/20 + h**5\/60 - h**4\/6 + 2*h**3\/3 + h**2. Is 8 a factor of k(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (1 - 5 + 0)*(-2*c**2 + 3*c**2 + 7*c**2).\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 69*k - 281*k + 42745718 = -779814282. Round k to the nearest one hundred thousand.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-2190)\/(-146)*3\/(45\/(-6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose h = -3, 14*j - 11*j = -2*h + 6. Calculate the common denominator of 17\/16 and (-10)\/j*2241\/6615.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second smallest value? (a) -0.14 (b) 96 (c) 0.3 (d) -0.4 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 10321, 41399, 93209, 165751, 259025, 373031, 507769?\nAnswer: 663239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -891*y**2 + 3*y**3 + 100*y**2 - 467*y**2 + 127*y**2.\nAnswer: 3*y**3 - 1131*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Solve 44*u = -43*u + u + 4*u - 2624 for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (1084\/(-1355))\/(6\/15*-9)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the sixth root of 403673845 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 6 - -10. Let g(t) = -t**3 + 16*t**2 + 5*t - 1. What are the prime factors of g(h)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -8*x - 0*x. Suppose -12 = -6*s + 2*s. Let r be 1\/(-4) - (-17)\/4. Solve -3*h + r*h + s = x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide 66250875 by -2137125.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 287657 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 26330 + -14679. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n be (-7 - -5) + (-6 - -5) + -10015. Round n to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 3698315426 to the nearest integer?\nAnswer: 60814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is -37 divided by 15?\nAnswer: -37\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*b + 4*c = -12, -4*b + 3*c - 2*c = -3. Solve b = 3*v + v - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((m**(-26)\/m)\/m**(-3)*(m\/m**(-14))**26)**(10\/11) assuming m is positive.\nAnswer: m**(3660\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -11296 or -4492?\nAnswer: -11296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is 170 minutes before 6:33 AM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -3 - -1 - 3 - (38 - 45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of (10\/15)\/(-1) + 11206\/7800 and 67\/820.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 3*w**4\/4 + 1281*w**3\/4 - 18225*w**2 - 347664*w + 365568 = 0.\nAnswer: -476, -16, 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (2*w + 4*w - 4*w)*(-5*w + 0*w + 2*w) to v*w + t*w**2 + r and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Is 236046*(568\/(-48) + 12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 29 + -24. Which is the third smallest value? (a) 2 (b) t (c) -2\/3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: (3\/(-4))\/(11 + (-1176)\/96 + (-24)\/(-9))\nAnswer: -9\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.8626 rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Product of 0.22 and 1.622.\nAnswer: 0.35684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 73, 228, 395, 580, 789, 1028?\nAnswer: 1303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let x be (-3 - 1) + (-1 + -3)\/(-2). Let u(t) = -5*t**3 - 3*t**2 + t + 2. Let z be u(x). What is the greatest common factor of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 16264 + 16272 - 19*o - 32539.\nAnswer: -19*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 257367 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let t(l) = 6*l - 7. Let r be t(2). Suppose -3*u - 2*g + 2 + 2 = 0, 0 = -3*u - r*g + 10. Solve -5*b - 17 - 3 = u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 16 + 4. Let y = i - 13. Suppose y*b - 12 = b. Solve -4 = -b*c - j - j, -2*c + 5*j = 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 195336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(180) + 0 + sqrt(180) + -1 + 1 + (-6*sqrt(45)*1)\/(sqrt(9)*-1*-1))**2 + 5 + 0.\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 10305108 and 20352.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 1667 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 0.2 + -0.209. Let s = -20 - -19.691. Let d = m - s. Which is the second biggest value? (a) d (b) 5 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(k) be the third derivative of k**5\/60 - 7*k**2. Let u(a) = -a**2 - 1. Let q(s) = -4*s**2 + 3. Let h(m) = -q(m) - 3*u(m). What is l(h(w))?\nAnswer: 49*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 21*k - 5*k = 64. Let a(j) = 5*j**2 + 3*j - 4. Let o(h) = 4*h**2 + 3*h - 3. Give k*o(x) - 3*a(x).\nAnswer: x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -120, -236, -352, -468?\nAnswer: -584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let b(u) = -2*u**3 + 5*u**2 + 8*u + 10. Let s(r) = -r**3 - r**2 + 2. Let n(l) = -b(l) + 3*s(l). Let g be n(-7). Solve -5*m = 3*k + g - 0, 0 = 3*m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 57 divide 7106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let w(f) = f**2 - 9*f - 57. What is w(13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -4*((sqrt(2156)*-2)**2*-5 - 4*(sqrt(2156)*-1)**2).\nAnswer: 206976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Sort 4, -3, -14, 1, 18.\nAnswer: -14, -3, 1, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Sort 3, -818, -19089, -4 in ascending order.\nAnswer: -19089, -818, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Solve 347*m - 2808 = -4*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let x be (8\/(1 - 5))\/(-1). Solve x*u = 3*u - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 11 - 11. Sort -5, 5, v.\nAnswer: -5, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z be 190\/(-15) - 2\/(-3). Let u = -7 - z. Let s(p) = -p - 2*p - 6 + 2. Let f(h) = 3*h + 3. What is u*s(n) + 6*f(n)?\nAnswer: 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Solve h - 12 = 28*j - 33*j, -2*j = h - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let -n**3 + 11237*n**2 + 56216*n - 67452 = 0. What is n?\nAnswer: -6, 1, 11242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let j(v) = -8*v - 75. Let i be j(-9). Let f(n) be the second derivative of -12*n**5\/5 - n**4\/6 - n**3\/6 - 2*n**2 - 6*n. Is f(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 o and 2 m when three letters picked without replacement from {m: 10, l: 3, z: 1, a: 2, o: 1}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Expand (0 - 9 + 3*x**2 + 16)*((2*x + 3*x - 4*x)*(-1 + 0 + 2) + 0*x + 2*x + 0*x - 2*x - x + x + 2*x + 3*x - 2*x).\nAnswer: 12*x**3 + 28*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Is 290692783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Solve -45188*p + 45234*p - 5*n + 13 + 32 = 0, 220 = 5*n - n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose g - 388 = 5*s - 24, 5*g - 164 = 2*s. Let y be ((-5)\/2)\/(6\/s). Suppose y = 12*j - 7*j. What is the remainder when 9 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h(n) = 2*n**2 - 1304*n - 34123. Determine h(-25).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let y(m) = m**2 + 15*m + 9. Let t be y(-16). Suppose 1404 = t*c - 12*c. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (32\/(-40))\/((-1554)\/(-105)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -38385, -77235, -116097, -154977, -193881, -232815?\nAnswer: -271785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let t = -125 + 225. Let d = -100.1 + t. Which is the closest to d? (a) -5 (b) -0.3 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence gbgb when four letters picked without replacement from gbgbgbbb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let w be 4\/3 - 2 - -1. What is the closest to 1 in -2, w, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h(b) = b**2 + 6*b + 4. Let k be h(-6). Let m be (2\/4)\/(k\/8). Solve 4*o - 16 = 4*x, -3*o = m - 13 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(h) be the first derivative of -4 + 0*h + 3\/2*h**2. Let u(c) = -7*c - 8*c + 10*c + 14*c. What is r(u(z))?\nAnswer: 27*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let n(f) = 8*f**2 + 36*f - 10. What is the remainder when 86 is divided by n(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(r) = -r - 7. Let f be n(-9). Factor -6*d**f + 0*d**2 + 4*d**2 - 2*d**3 + 0*d**2 + 2*d**5 + 2*d**4.\nAnswer: 2*d**2*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -350 + 216*l**3 - 9*l**2 - 215*l**3 + 9*l**2.\nAnswer: l**3 - 350","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} -{"text":"Question: Round -23287.468 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let z be (8 + -8)\/(1 + 0). Let i be 6 - (4 - (-2 + 4)). Solve 5*x - 4*k = 20, -x - i*x - 2*k + 20 = z for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort 303069, -2, 3, 38.\nAnswer: -2, 3, 38, 303069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: 0.363 times 0.5\nAnswer: 0.1815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -0.3? (a) -2\/3 (b) 19.787 (c) -267\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Expand (7*f + 7*f - 4*f)*(116*f**4 + 13*f**2 - 35*f**2 + 22*f**2).\nAnswer: 1160*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 0.1 in 0.4, 4\/7, -6, -156\/29, -0.3, -55.32?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: In base 9, what is 200447 - -5?\nAnswer: 200453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*l = -5*l. Let g(z) = z**2 + z + 9. Let v be g(l). Solve -3*r + 0*r + v = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h(v) = 6*v**2. Let o be h(-1). Suppose 3*s + 930 = o*s. Let g = 463 - s. 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 the value of (-43 + 20 - 7) + 48?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(112)\/(-4*sqrt(2)*-4))\/((sqrt(8) - (sqrt(128) - (sqrt(128) + sqrt(128)*-1))) + sqrt(648)*-3).\nAnswer: -sqrt(7)\/480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: In base 13, what is 17c5b5 + ca?\nAnswer: 17c6b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -1 + (sqrt(76) + (sqrt(76) - 4*(sqrt(76) + 4)) - -1*(sqrt(76) + 0))**2.\nAnswer: 64*sqrt(19) + 331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 1417752 and 128702.\nAnswer: 449427384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Suppose c + 5*u = -49, 0 = 5*c - 8*c + u - 99. Suppose -46 = -2*q + 3*q + 5*i, -4*q - 69 = -3*i. Let y = q - c. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 2576*s**3 + 2*s**2 + 911*s**3 - 2*s**2.\nAnswer: 3487*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Put -30\/7, -21\/5, -1 in descending order.\nAnswer: -1, -21\/5, -30\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let g be 6\/(-8) - (-3)\/(-12). Let f = 118 + -179. Let s = -64 - f. Sort s, 0.2, g in ascending order.\nAnswer: s, g, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 5*z + 5 - 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let s = 0.8 - 5.8. Let h = 0 + -0.06. Let z = h + -0.24. Sort 2\/3, s, z in decreasing order.\nAnswer: 2\/3, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-7*v**3 + 5*v**3 - 6*v**3)*(-16*v - 69*v**2 - 94*v**2 + 151*v**2 - 51*v**2).\nAnswer: 504*v**5 + 128*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -1573587\/152 - -10352. Find the common denominator of -97\/76 and k.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 5 + -9 + 0 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let z be 4\/16 + (-15)\/(-36). Put 1, -0.1, z in descending order.\nAnswer: 1, z, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 1387126645.\nAnswer: 5, 17, 71, 229847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*l = -t - 23, 4*l + 3*t - 38 = t. Let x(c) = 2*c - l + 6 + 2*c - 4*c**2 + 2*c**3. Is x(4) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q be 9 + (9 - (12 - 6)). Let r(s) = -s + 4. Let b be r(0). Let n(k) = 2*k - 12. Let h be n(7). Solve 0 = -i - o - b, -i = -5*o - h - q for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of (2 + (5 - 43))\/(-1 + 0) and 28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p(t) = t - 9. Let h be p(-6). Let w be h\/35 - (-1 - -1). Let n = 688.9 + -689. Are n and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 5 a factor of 3672571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let t(y) = -286*y - 69776. Determine t(-244).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the third biggest value in 27, -5, 2\/43, 3\/7, -3\/4?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let t(g) = -409*g - 1158. Is t(-18) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Work out 0.5 * 105873.\nAnswer: 52936.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -577865, -1154773, -1731681?\nAnswer: -2308589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate 992*t*u**3 - 118*t*u**2 + 67759*u**3 with respect to t.\nAnswer: 992*u**3 - 118*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence qeh when three letters picked without replacement from qqcehww.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: ((-84)\/(-8))\/(6*5\/((-120)\/(-3)))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 25564*r*v**2 - 12654*r*v + v**5 wrt v.\nAnswer: 51128*r + 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: How many grams are there in 4.301115 milligrams?\nAnswer: 0.004301115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Factor 2*j**2 - 46406198*j - 185624824.\nAnswer: 2*(j - 23203103)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Expand d - 3*d - 3*d**4 + 5*d - 3*d**4 + 2*d**4 - d**4 + (d**2 + 24*d**2 + 12*d**2)*(d**2 - 3 + 3).\nAnswer: 32*d**4 + 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Is -5 not equal to -7835676?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Sort -3, -21, 4, 3.\nAnswer: -21, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 28\/(-16)*((-28)\/(-35))\/(7\/(-70)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let j be (-1)\/(-1*(-4)\/(-28)). What is the greatest common factor of j and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Product of 0.032 and -1.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -7 = 3*j - 16. Let q(r) = r**3 - 2*r**2 + 4*r - 5. What is the smallest common multiple of q(j) and (-8)\/6*1*-6?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -47\/156 - -2\/39. Let s = 1 + 1. What is the nearest to -1\/3 in s, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -9*v - 12*v + 5*d - 24 - 22, 4*v + 2*d = 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} -{"text":"Question: In base 4, what is 11310 - -120122?\nAnswer: 132032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Is 35 a factor of 7048284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -0.0351 - 0.3649. Which is the third biggest value? (a) 2 (b) l (c) -3 (d) -2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d(p) = 7*p**2 + 3*p - 4. What is d(-3)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let b(s) = -s**2 + 22*s - 40. Suppose 8*h - 103 = 57. Let z be b(h). Solve w + 5 - 4 = z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 152 = 53*t - 113. Suppose t*a + 4*l = -l + 1035, a = -2*l + 206. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -390*l = -426*l + 3780. Calculate the remainder when 7663 is divided by l.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 3, what is 102202 + -200?\nAnswer: 102002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Expand -2*v**2 - 15*v**2 - 7*v**2 + (0 + 0 - 2)*(-2 + 2 + 2*v**2) + 2*v**2 + v - v + (1 - 1 - v**2)*(-4 + 4 + 1).\nAnswer: -27*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of 676 and 2704.\nAnswer: 2704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Is 97095665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let f(p) = 16*p**2 + 13*p + 2. Let i(u) = -8*u**2 - 6*u - 1. Let s(h) = 6*f(h) + 13*i(h). Find the first derivative of s(r) wrt r.\nAnswer: -16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 16280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is -1b54c (base 16) in base 3?\nAnswer: -12200120020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let d(t) = -4*t**3 - 4*t**2 + 5*t - 1. Give d(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is 5b + -1a?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -12*i + i + 33 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -q + 5 = -0. Suppose -21 = -c - 4*i, 2*c + 0*i - 36 = -q*i. Let o be (-44)\/4 + (-230)\/(-2). What is the highest common factor of c and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 697720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: -0.2 * 87\nAnswer: -17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let u(v) be the third derivative of 7*v**6\/12 - v**5\/60 + 5*v**4\/6 - 67*v**2. Find the third derivative of u(g) wrt g.\nAnswer: 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 253, 603, 955, 1309?\nAnswer: 1665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -5 + 8 + (0 - 4) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let c(b) = 2*b**3 + 4*b**2 - 32*b + 76. What is c(-6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Solve -82 = 88*y + 270 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let i(d) = -2*d**2 + 3*d - 3. Suppose -14 = 2*c - 20. Determine i(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -59*h**3 + 2*h**3 - 47*h**3 - 28*h + 2 + 27*h to p*h**2 + g + o*h + d*h**3 and give d.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from avnntnnntanv. Give prob of sequence nv.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -1*8 + ((-1 - 0)\/(50\/100))\/1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Is 3 a factor of 1090683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let f(d) be the first derivative of -d**4\/4 - 2*d**3\/3 + 3*d**2\/2 + d + 1. Let t be f(-3). Suppose 0 = 29*h - 28*h - 3. Solve h*o = t + 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 1 bigger than 3\/118931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*x - 10 = -k - 0, 15 = 2*k - 3*x. Suppose 3*v - 86 = -5*s, -4*s = -12*v + 11*v + k. Calculate the remainder when 307 is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -973.000447 + 973. Round n to five decimal places.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((x\/((x*x*x\/(x\/x**(-46)))\/x)*x)**17)**(-5\/6) assuming x is positive.\nAnswer: x**(-3995\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let r be 3\/6*(-9 + -5). Which is the second biggest value? (a) 0.3 (b) r (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(i) = 1. Let o(m) = -m - 4. Let y(h) = -2*o(h) - 6*s(h). Suppose r + 4 = 2. Let q be 42\/(-8) + r\/(-8). Determine y(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 39, 273, 707, 1341, 2175?\nAnswer: 3209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -1019 - -1022. Suppose -4 = d - 3*d. Suppose -v*m = -d*m - 5. Solve 0 = 2*n - u - m + 10, 4*n = 4*u - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -29\/333081 and -74\/15432753.\nAnswer: 46298259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let h be (-2)\/((8 + -7)*(-1 + 0)). Suppose 2*o = -h*o + 12. Suppose -o*r = -369 - 198. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand -2*v + 3*v - 2*v + (2*v - 2*v - 3*v)*(-2 + 7 - 4).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Is 837377003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let n(z) = -z**3 + 5*z**2 - z + 7. Let l be n(5). Suppose 2*f + 36 = -l*f. Let d = 28 + f. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3*b - 12 = 5*c, -4*c - 4*b - 1 = 7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (24055\/561 + -43)\/(4\/42).\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*f = -5*j - 44, 4*f = -3*j - 2*j + 84. Do f and 16 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b = 3.8 - -0.2. Let h = 28 - 29.3. Let u = h + 1. What is the smallest value in -3, u, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 3:07 AM and 3:45 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*h - 146 = -5*c + 7*h, 5*h = 2*c - 55. Suppose 5*w + c = 40. Is 890\/(-5)*w*(-3)\/12 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -423 - -421. Let q = 2.2 + -2. Let o = 0 - -0.1. What is the smallest value in y, -1, o, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 5:51 AM and 7:42 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (r\/r**(-2\/13)*r*(r*r*r\/(((r**(-8)*r)\/r*r)\/r))\/r)**(6\/7) assuming r is positive.\nAnswer: r**(948\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let i be 20*((-12)\/(-10))\/3. Suppose -15 + 6 = q. Let w be 6*q*(-4)\/3. Calculate the highest common factor of w and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -200*m - 132*m + 1530 = 9830 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let l(q) = 258*q + 33. Determine l(0).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 17*i - 9*i. Let d = 0.07 + -0.16. Let b = -4.91 + d. What is the nearest to 0.2 in i, b, 5\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 196736 is divided by 98267?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} -{"text":"Question: Divide 2 by 829.\nAnswer: 2\/829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Factor o**2 - 310823*o + 8080722.\nAnswer: (o - 310797)*(o - 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 95\/8 and 99\/940.\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 7 - 7. Suppose n = w - 1 - 4. Solve w*v + 2 = 17 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 1088 + 0.039631164657.\nAnswer: 1088.039631164657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the jth term of -83, -166, -251, -338?\n\"Answer: -j**2 - 80*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -7*g + 3*g + 291 = -3*t, -t + 202 = 3*g. Find the second derivative of -48*k**4 + 9 - 9*k - g*k**4 + 117*k**4 - 209*k**5 wrt k.\nAnswer: -4180*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 2761, 11046, 24839, 44128, 68901, 99146, 134851, 176004?\nAnswer: 222593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 5264\/5 + -1052. Let q(i) be the second derivative of 4\/15*i**3 - 1\/10*i**4 - 1\/25*i**5 + 36*i + o*i**2 + 1\/75*i**6 + 0. Factor q(p).\nAnswer: 2*(p - 2)**2*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (3 - -2) + 3 + (-4 + -1 - -9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Expand 10 + 6*x**4 - 10 + (-12*x + 9*x - 13*x)*(-x**3 + 2*x**3 + 0*x**3) + 4*x**4 - 2*x**4 + x**4.\nAnswer: -7*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let w be (-1)\/((-5)\/(-90))*20\/(-3) - -8. Calculate the highest common factor of w and 7232.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(j) = 35*j - 49. What is the hundreds digit of b(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -12 + (5 + -8 - (4 + -6 + 5)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of ((-1)\/(-8))\/((-54)\/(-12528))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 2 f and 1 e when three letters picked without replacement from eefffffffffefe.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of 3634 and 13478?\nAnswer: 1064762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is 82010 - 29478?\nAnswer: 52532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 10569, 12601, 14633, 16665, 18697, 20729?\nAnswer: 22761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.01094949903 to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.001279559725 rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is 225\/(-54)*148\/(-185)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 12 + -10. Suppose o*a = 10, -m = m + 3*a - 31. Suppose 2*i - 16 = -4*r + 16, 5*r = 4*i - 51. Calculate the lowest common multiple of m and i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 44483029681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 4 + 0. Let c = -3332 + 3312. What is the tens digit of 635\/r - (1 + c\/16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (1 + t**3 - 1)*(2*t - 4*t - 1928 + 635).\nAnswer: -2*t**4 - 1293*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Solve -19 = 3*n + s - 10, -2*s = -16*n - 26 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let t(b) = -5*b - 12. Let w be t(-7). Let j = w - 16. What is the highest common factor of 49 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 3620286 is divided by 1428?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -34*i = -36*i, -5*d + 2*i = -1395. What is the remainder when d is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 10781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 100 + -99. Which is the third smallest value? (a) -3\/4 (b) y (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 638570.6604 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let g be 5*(-174)\/(-2755)*(-38)\/(-4). Solve 0 = 4*r - 7*r - g*u + 6, 2*r = 4*u + 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -13 + (-21 - (-18 + -55)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: 17.0831 times -1.1\nAnswer: -18.79141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 189216 and 12009303.\nAnswer: 5913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*o + d + 34 = -2*d, 3*o - 2*d + 9 = 0. Let m = 7 + o. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: -1 or -114\/85?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 6*g = 14 + 76. Let x be 3*4\/36*g. Solve -x*a = -0*a - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(w) = -33*w**2 + 9*w + 47. Let g(y) = -16*y**2 - y. Let u(z) = -2*g(z) + x(z). Determine u(15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is l in -6*l**3\/11 + 126*l**2\/11 + 9180*l\/11 - 12432 = 0?\nAnswer: -37, 14, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let y be 9\/6*(-2 + 0). What is the nearest to 0.3 in y, -2\/7, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(d) = -d - 4. Let u be a(-6). Let q(t) = t**2 - 2*t - 12. Let y be q(5). Does 15 divide -9*(u + (-15)\/y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t(m) = 3*m**3 + 2*m**2 + m - 5. Suppose 0 = n - 108 + 103. Does 25 divide t(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 3*a + v + 2895, -5*a = -a + 4*v + 3852. Suppose 2 = p + 7. What is the common denominator of 16\/7 - 2 - 1817\/a and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 6.8511 + -530.3411. Let k = 529 + i. What is k rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -a - 4*w - 210 = -9*w, -3*a + 2*w - 669 = 0. Let u = a + 261. Solve -5*n = 4*x + u, 2*x - 4*n = 13 - 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: -6 times -0.30961\nAnswer: 1.85766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Find f such that 72\/7*f - 4\/7*f**2 + 76\/7 = 0.\nAnswer: -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*o = -y + 7, 4*y + 7 + 0 = o. Let b be ((-2)\/(-1 + o))\/((-2)\/(-36)). List the prime factors of 3\/9 + 2*302\/b.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 x and 1 o when two letters picked without replacement from oxxoxx.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is 27 - 3 - (24 - (3 + 7))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let x(a) = a. Suppose -3*j + 6*j = -0*j. Let d(t) be the second derivative of 9*t - 1\/2*t**3 + j + 0*t**2. Determine d(x(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -26240 = 583*r - 168492. Suppose r*d**3 + 12\/5*d**4 + 41208\/5*d**2 + 457776\/5*d - 157216\/5 = 0. Calculate d.\nAnswer: -34, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 918*v - 2550*v + 887*v + 3*v**2 + 883*v - 138*v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 1? (a) 2 (b) -1\/28 (c) 4 (d) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (3*sqrt(117)*-1*-5)\/(sqrt(576) + sqrt(576) + -1*sqrt(576)*-1 + sqrt(576)).\nAnswer: 15*sqrt(13)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let v(p) = -52*p - 130. Let u = 6 - 16. List the prime factors of v(u).\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -15 + (-87 - -92) + (7 - 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: 50616.4 + 38\nAnswer: 50654.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -5 divided by -338562.\nAnswer: 5\/338562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 985*h**5 + 7*h**2 + 712*h.\nAnswer: 19700*h**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 11749 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Solve 19*s + 11383*o = 11382*o + 90, o - 20 = -5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Are -1777\/123 and -14 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 4\/(-322)*(-3108)\/1776.\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is 4366701 to the power of 1\/2, to the nearest integer?\nAnswer: 2090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: (-3)\/((114\/(-95))\/(14\/5))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 3728 - 2586. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 37732914 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -5 + (4*(sqrt(112) + -5))**2*-2 + (sqrt(336)\/sqrt(3) - sqrt(7) - (sqrt(7) - sqrt(252)\/sqrt(9))).\nAnswer: -4389 + 1284*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -56*k**2 - 50*k**2 + 214*k**2 + 33*k - 54*k**2 - 56*k**2.\nAnswer: -2*k**2 + 33*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Divide 4 by 93.\nAnswer: 4\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 2980 and 5848250?\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: 9*-0.03085105\nAnswer: -0.27765945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is 9d (base 15) in base 13?\nAnswer: b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let o(x) = -x**2 + 54*x + 363. Determine o(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 46 - (-13 + (-32 - -82)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -32*u + 19*u + 2197. Solve 158*h - u*h + 11 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 5 + -6. Let i = n - -1.3. Which is the nearest to 1? (a) 0.2 (b) -0.4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*s - 2 + 2 = 0. Suppose s = c - 2*c - 4. Sort c, -5, -2 in descending order.\nAnswer: -2, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(a) = -a + 4. Let q(s) = 5*s**2 + 114*s - 25. Let j be q(-23). Let z be (j*2\/(-6))\/(2\/9). Let x(y) = -1. Calculate z*x(i) + l(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.1464 plus 0.09?\nAnswer: 0.2364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Put 2, 1\/3, 3\/4, -4.35, 0.5 in decreasing order.\nAnswer: 2, 3\/4, 0.5, 1\/3, -4.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 1? (a) 0.16 (b) -63 (c) 1 (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let j be ((-21)\/(-9) + 0)*-3. Let s(k) = -k + 3. What is the tens digit of s(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 182.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 6419 and 12771976?\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let k be (-60122)\/(-20040) + (-2 - 0) + -1. Let q = k + 15781\/5010. Calculate the common denominator of -5\/18 and q.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -126817 divided by 4607?\nAnswer: -126817\/4607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((a\/((a\/(a\/(a\/(a*a\/(a*a**(3\/4))))))\/a))**(-3\/22)*(a*a**(-19)*a)**(-1\/47))**(-38) assuming a is positive.\nAnswer: a**(-15029\/2068)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (3\/18)\/(198\/36).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Is -71449 at most -71454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 26 + -26. Let x = t + -3. Put x, 0, 2 in decreasing order.\nAnswer: 2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Divide -1268340 by 10.\nAnswer: -126834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Is -305 at most as big as 2.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let l(u) = u**3 - 8*u**2 + 7*u + 4. Let y be l(7). Solve -6*v + y*v = 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 1\/40 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 22236 and 6976.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 76342845?\nAnswer: 3, 5, 43, 118361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*x + 12069 = 4*n, -16*x + 20*x - 15094 = -5*n. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence xjai when four letters picked without replacement from {g: 3, x: 4, j: 6, i: 1, a: 1, c: 1}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is -51090 rounded to the nearest 1000?\nAnswer: -51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let m(y) = 325*y**3 - y**2 + 3. What is the lowest common multiple of 33 and m(1)?\nAnswer: 3597","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -1043*y - 24 = -1046*y. What is the highest common factor of y and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 19295300 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 2\/17? (a) 1 (b) 285\/58 (c) -4 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest common multiple of 297451 and 77260?\nAnswer: 5949020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-19)\/(-5130)*30*(-2)\/2.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Work out 950 - 0.091013153.\nAnswer: 949.908986847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is 0 plus -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -70*((-4)\/(-8))\/(45\/72).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -68 = 2*h - 356. Calculate the smallest common multiple of 10 and h.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 90147129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} -{"text":"Question: Is 3761839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -r + 2*l - 11, 19*r - 2 = 17*r - 4*l. Let o be (r\/210*-7)\/((-3)\/6). Which is the nearest to 1\/2? (a) o (b) 0.04 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the vth term of -16840, -33673, -50506?\n\"Answer: -16833*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -r + 4*r - c - 20 = 0, -4*r = 3*c - 44. Suppose -209 = -3*n - 4*h, r = -2*n + 3*h + 136. Suppose -n = -p - 22. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 530 - 455. Let g(z) = 70*z**2 + 70*z**2 + q*z**2 - 214*z**2 - 5*z. Determine g(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: ((-519)\/173)\/((-110)\/280*-6)\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -15 + 9*r**2 + 8*r**2 + 114.\nAnswer: 17*r**2 + 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 5516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let m(g) = -g - 8. Let a(f) = 3*f + 11. Let w(h) = a(h) + m(h). Let v(r) = -r. What is 3*v(z) + w(z)?\nAnswer: -z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Express 0*w**3 + w**3 + 0*w**3 + (-20*w - 15*w + 10*w)*(0*w**2 + w**2 + w**2) in the form q + y*w + r*w**2 + x*w**3 and give x.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is 672 minutes after 2:30 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let a(v) = 4*v**3 - 194*v**2 + 518*v + 114. Give a(46).\nAnswer: 2782","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 258477261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Solve 3*a = -n - 10, n - 15*a + 13 = -19*a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*p + 283 = 5*r, p = 134 - 133. Solve 17 = -10*c + r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*s - 5 = -0, -5*s = g - 246. Suppose 2*h = -195 - g. Let i = 314 + h. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -921? (a) 0.022 (b) -4 (c) -2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let m be 36\/10 + 2\/5. Suppose -y - 2*y + 15 = 0, m*u - 2*y + 2 = 0. Let s be 1*u - (-6 - -6). Is s > 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -6.7372 rounded to 1 decimal place?\nAnswer: -6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let q(s) be the third derivative of -s**7\/5040 - s**5\/60 - s**2. Let j(a) be the third derivative of q(a). Let o(r) = -4*r. Determine j(o(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Product of -56 and 538513.\nAnswer: -30156728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.2564471 micrometers in meters?\nAnswer: 0.0000002564471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 2:36 AM and 12:28 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let z(i) = 5*i + 12. Let v(r) = r**2 + 8*r - 104. Let t be v(7). Let k(c) = -c. Calculate t*z(x) + 6*k(x).\nAnswer: -x + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Is 14031477 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Is -71990 at least as big as -71989?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let p(v) be the second derivative of -23*v**4\/12 + 10*v. Let c(w) = 3*w + 2. Let g(h) = -10*h - 7. Let z(a) = -14*c(a) - 4*g(a). Give z(p(d)).\nAnswer: 46*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to -1 in 2, -153, 35, -1\/16, -0.6, 1\/3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second smallest value? (a) 26723 (b) -25 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is 28 times -854?\nAnswer: -23912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4 = -2*f - 2. Let l be ((-2)\/(-3))\/(26\/117). Which is bigger: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence ee when two letters picked without replacement from ooeeeeo?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 2145974 or 2145804?\nAnswer: 2145804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3\/7*v**3 + 0 + 75\/7*v**2 - 198\/7*v = 0 for v.\nAnswer: 0, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: 1628 divided by 11\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest value in 1, -3, 10\/31?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*w + v = 1619, -w = -5*v - 17 - 312. Is w less than 326?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 57 is divided by 2*-4 - (37 + -49).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -5? (a) -2.3 (b) -2 (c) -0.143 (d) -4 (e) 1 (f) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*g = -3*y + 12, 3 = 3*y + 5*g - 11. Solve 0 = -y*w + 6*w + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l = -20434 + 102168\/5. Sort 0.0188, 0.4, 1\/2, l, 0.3 in ascending order.\nAnswer: l, 0.0188, 0.3, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(t) = -7*t**2 - 71*t + 5. Let y(m) = -8*m**2 - 70*m + 6. Calculate 6*u(g) - 5*y(g).\nAnswer: -2*g**2 - 76*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let x be 9 - (-2 - -1 - -1). Find the common denominator of 5\/x*(-66)\/(-4) and -39\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 13125887.\nAnswer: 17, 599, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -0.4? (a) -10\/43 (b) 4 (c) 0 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let s = 0 + 4. Suppose a = s*a - 15. Let f = 21.7 + -17.7. What is the nearest to 2 in 2, a, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(f) = 34*f - 108. Let s(k) = 36*k - 111. Let y(g) = 4*l(g) - 5*s(g). Differentiate y(x) wrt x.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 225.91848 months in years?\nAnswer: 18.82654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Is 456027 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Does 13 divide 6354275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of 13.53 and -0.2?\nAnswer: -2.706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of -336057051*k**2*u**6 - 60887*k**2*u + 35*k*u**2 - u - 2 wrt u.\nAnswer: -40326846120*k**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the uth term of 5827, 11697, 17617, 23593, 29631, 35737, 41917?\n\"Answer: u**3 + 19*u**2 + 5806*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Simplify y**(8\/7)*y*y**(-2\/73) assuming y is positive.\nAnswer: y**(1081\/511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is (-3)\/6*-39 + (-22 - -3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let c = -32 + 46. Suppose 26*g - 22*g = 16. Solve 2*v - 10 = -s, g*v - c = -3*s + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from vjqfsssfjuqssuffs. Give prob of sequence jvq.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of g*u**2*x**3 - 2*g*u**2*x + 4*g*u - 2920*u**2*x**4 - 2*u**2*x - 60*x wrt x?\nAnswer: 6*g*u**2*x - 35040*u**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -38, -416, -1406, -3314, -6446, -11108, -17606, -26246?\nAnswer: -37334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Does 16 divide 92107693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let l be (2 - 5 - -2) + 3. Suppose y + 0*y - 9 = 0. Suppose y + 21 = 3*d. What is the highest common factor of l and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -11 - -14. Suppose -600 = -3*q + c, -g*q + 600 = -4*c - c. Suppose 0 = -5*p + q - 10. Calculate the remainder when p is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (3 + -2 - 3) + 14 + -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the fth term of 50946, 101909, 152872, 203835, 254798, 305761?\n\"Answer: 50963*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 17505 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let u be 6*-1 + (-2070)\/(-161). Which is bigger: 8 or u?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(j) = j**3 - 1. Let b(a) = -a**4 - a**3 - 3*a**2 - 4*a + 9. Let g(o) = b(o) + 5*n(o). What is u in g(u) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 677373, 677377, 677381, 677385?\nAnswer: 677389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -17*h + 1 + 6*h - 1.\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Factor -4*u**2 + 146216*u - 76654816.\nAnswer: -4*(u - 36022)*(u - 532)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let a(p) be the first derivative of 2*p**3\/33 - 4*p**2\/11 + 6*p\/11 - 62. Find y, given that a(y) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -1120*s - 40 = -1110*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 12 and 11148?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is 305 minutes after 3:49 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 1865 and 164537014?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let q be ((-13)\/(-3))\/(118\/(-6)). Let s = -13544788 + 7192280246\/531. Let i = s - q. Find the common denominator of -31 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-2*c - 4*c + 2*c)*(-c + 9*c + 11*c) + 0*c - c - c - 2*c**2.\nAnswer: -78*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: -3 (base 10) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*y = 4*b + 11, -y - 2*b - b = -8. Suppose l = 6*l + s + 77, 0 = -y*s - 10. Let w = l - -19. Solve 0 = a + w*a + 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(s) = 2*s**3 + 16*s**2 - s + 19. Let p(c) = -5*c**3 - 33*c**2 + 2*c - 38. Let b(g) = 7*i(g) + 3*p(g). Let u be b(13). Solve 0 = -3*k + u*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(b) = 19*b**2 - 79*b. Let p(c) = -9*c**2 + 39*c. Let i(q) = 7*p(q) + 3*x(q). What is the second derivative of i(m) wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 134*w**2 - 38*w**2 - 42*w**2 - 23*w**2 - 29*w**2 + 107.\nAnswer: 2*w**2 + 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 7 + -6 + 2 + (15 - 13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the fifth root of 5038250 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let v(p) = -4*p**2 + 31*p - 42. Let t be v(5). Solve -34 = -t*x + 44 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(q) = -5*q + 25. Give n(13).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (3 + 3*sqrt(3))*-6.\nAnswer: -18*sqrt(3) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from khhuuup. What is prob of picking 1 k and 2 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 15, 9, 3, -3, -9, -15?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is 39911391 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Put -1\/5, 0.06, -5, -0.26, -1 in ascending order.\nAnswer: -5, -1, -0.26, -1\/5, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Convert -cb00d (base 14) to base 10.\nAnswer: -491189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -10*o - 12 - 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let g = -8.67 + 8.66512. Round g to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round -4.840671 to three dps.\nAnswer: -4.841","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Factor -t**3 + 401468*t**2 + 115684992*t + 8330812416.\nAnswer: -(t - 401756)*(t + 144)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 86770923?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*y + y = 138. Let b = -21 + y. What is the greatest common divisor of 26 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 0 - (-375)\/(-112) - (-28)\/98 and 117\/28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(b) be the third derivative of b**7\/630 + b**6\/72 + 2*b**5\/45 + b**4\/18 + 7*b**2. Factor l(y).\nAnswer: y*(y + 1)*(y + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence uvu when three letters picked without replacement from {u: 7, v: 4}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Expand (0*s - s + 0*s)*(-2 + 0 + 0)*(-14*s + 15*s + 1108 - 293).\nAnswer: 2*s**2 + 1630*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 19 - 39. Let r = -15 - j. Let x be 3\/6 - 2\/20. What is the biggest value in r, x, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 335117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the biggest value in 0, 10, -5\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 2 + -12 + 0 + -2548 + 2592.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: In base 13, what is 10053 - 63?\nAnswer: ccc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Round -28340000 to the nearest 1000000.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: -974 - -984 - (-1 - 0)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: -200121131 (base 4) to base 13\nAnswer: -4852a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -30? (a) -0.1 (b) 6 (c) 4 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is the biggest value in -0.3, -0.2, -83, 0.31, 1\/9, -4?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 3104.972 + -3100. Let d = 0.1597 + -0.2877. Let l = d - w. Round l to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: -1 or 6802?\nAnswer: 6802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 0 or 1\/494?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 0.64 + -0.44. Let p = -11 + 6. What is the nearest to 0 in p, -1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((sqrt(315) - sqrt(315)*2)*4 + sqrt(315) + 2*(sqrt(315) + ((sqrt(315) - 2*sqrt(315)) + sqrt(315) - sqrt(315))) + sqrt(315))\/(1*sqrt(112)*-1*-5))**2.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of 10 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the mth term of 104542, 418283, 941194, 1673275, 2614526?\n\"Answer: 104585*m**2 - 14*m - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*c - 6 = 58. Let f be c + 37 - 54\/11. What is the smallest value in -28, -3, f?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put together -20140 and -29.2264.\nAnswer: -20169.2264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the cth term of -5091063, -10182128, -15273193, -20364258?\n\"Answer: -5091065*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let m(q) = 9*q + 1. Suppose 13 - 15 = 2*d. Calculate m(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is -3 < 5\/144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: In base 13, what is -1 - -bb05?\nAnswer: bb04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let s be -16*1\/6*(-27)\/18. Calculate the lowest common multiple of 28 and s*9\/90 - (-138)\/5.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of 61150*o**3 + 5*o**2 - 13671201 wrt o?\nAnswer: 183450*o**2 + 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*n + 4*a = 300, 3*a - 79761 + 79456 = -5*n for n.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -2*o - 2*i - i + 81, -5*o + 260 = -4*i. Suppose 5*x = 2*x + 108. What is the greatest common divisor of o and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 313 = -39*w + 118. Let c(m) = -5*m - 7. Calculate c(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 741082 is divided by 740933?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2*f**2\/9 + 31766*f\/9 + 3486256\/9 = 0.\nAnswer: -109, 15992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 14 + -3 + 0 + -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let y(h) = 8*h**2. Let s(c) be the first derivative of 2*c**2 + 4*c + 58. Calculate s(y(g)).\nAnswer: 32*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*k**5\/19 + 18*k**3\/19 - 8*k**2\/19 - 24*k\/19 = 0. Calculate k.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred thousands digit of 316823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (4104\/2793)\/((-42)\/(-2156)*11).\nAnswer: 48\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let y**5\/2 + 9*y**4 + 5*y**3\/2 - 440*y**2 - 1218*y - 784 = 0. What is y?\nAnswer: -14, -8, -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is six fifths of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 10:27 AM and 2:27 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 2\/7? (a) 1 (b) 0.2 (c) 3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is -11010001111001 + 11?\nAnswer: -11010001110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Divide -158 by -79.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let c = 5 + 1. Find the third derivative of 0*i**3 - c*i**3 - 2*i**3 + 7*i**2 wrt i.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (c*c*(c**(1\/13)\/c)\/c)\/(c*c**(-4)*c) assuming c is positive.\nAnswer: c**(27\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence kmtt when four letters picked without replacement from vkvmktkktcccttkk.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 0.4 in -0.107, 10, -0.13, -1?\nAnswer: -0.107","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} -{"text":"Question: What is the value of 7 + -1 + -2 + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is ((-4)\/14)\/(1 + (-20)\/14)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the yth term of -58312, -116754, -175324, -234022, -292848, -351802, -410884?\n\"Answer: -64*y**2 - 58250*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*o + f = 6*o - 7, -3*o - 3 = 3*f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Express -7*c**3 + 13*c**3 - c**2 - c**4 - 7*c**3 in the form w + g*c + r*c**2 + y*c**4 + s*c**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 34 + 6 = 8*v. Suppose v*a = 66 + 199. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d(v) = v + 15. Let m be d(-3). What is the greatest common factor of m and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -278*u**3 + 131*u**3 + 130*u**3 + 1 to n*u**3 + f*u**2 + y + o*u and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 382\/7 - 38617\/707. Let f = m - 3889\/1010. Calculate the common denominator of f and 66\/8*42\/7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from dqqd. Give prob of picking 1 d and 1 q.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: -4*7171\nAnswer: -28684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let m(h) = -47*h - 1073. Calculate m(-22).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 38 and 1159?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 6*t + o = 2*t + 158, 0 = -3*t - o + 118. Suppose -5*p + t = 35. Let u(d) = d. What is the remainder when u(3) is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 3:21 AM and 5:55 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 2*z - 15 + 11, -z - 5 = 7*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*o - 5*r + 45 = 0, 85 = 3*o - 294880*r + 294885*r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Expand -4*w - w + 3 + 3*w - w - 1 + 1 + (-w - 1 + 1)*(4 - 8 - 5) + w + 4 - 4 - w - w + w + (-1 + 2 + 1)*(0*w - 5*w + 4*w) - w + 0*w + 2*w.\nAnswer: 5*w + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let g(r) = 3*r - 10. Calculate the remainder when 49 + 0 - (-3)\/1 is divided by g(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r = -3 + 9. Let h be ((-3)\/r)\/((-1)\/182). Let d = 88 + h. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 219661 is divided by 54905?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: ((-198)\/891)\/(-3*4\/(-18))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -16 + 76 = 3*v. Suppose 2*m = -8 + v. Suppose 0*k = -k - 4, k = 3*l - 73. What is the remainder when l is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((g**(-1)\/g)**(-1\/26))**(-1\/5)\/((g**(-1\/4)*g\/g**(2\/21))\/(g\/(g**(-1)*g)*g*(((g*g**(1\/7)*g)\/g)\/g)\/g)) assuming g is positive.\nAnswer: g**(2581\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Solve 798*h + 5095*h + 2943*h - 1711*h = -441750 for h.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Does 22 divide 501073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Solve -30 = -3*b - 2*o - 2*o, 54*b - 28*o - 672 + 152 = 2*b - 2*o for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*f = 4*p - 93 - 5, -4*p = -f - 101. What is the remainder when p is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-14*(-989)\/(-644))\/((-2 + (-5)\/(-2))*-1).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 2*sqrt(95)\/sqrt(80).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 3288*h**3 - 1158*h**3 - 1191*h**3 + 11*h**2 + h - 1125*h**3.\nAnswer: -186*h**3 + 11*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -48*a**2 - 38*a**2 + 78*a**2 - 22913*a**3.\nAnswer: -22913*a**3 - 8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence pq when two letters picked without replacement from qqqqpqqpqq.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Express -2*k**4 + k**2 - k**2 + (-935 + 935 + 13*k)*(k**3 - 3*k + 3*k) in the form r*k + y*k**3 + b*k**4 + o*k**2 + w and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let n(x) = 974*x**2 + 402*x**2 - 506*x**2. Let p(b) = b**2. Give p(n(r)).\nAnswer: 756900*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Work out -0.27 * 10.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 2 - -1. Suppose -58 = -k*i - 5*f + 26, f = i - 28. What is the remainder when (-1016)\/(-28) + (-8)\/i is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*v + 5*d = 1, -v - d - 4 = -1. Let n be 1 - v*(5 - 354). Let y = -380 - n. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 2? (a) 2\/21 (b) 0.4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let g**4\/9 - 2*g**3 + 20*g**2\/3 - 56*g\/9 = 0. Calculate g.\nAnswer: 0, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Convert 824794.3nm to micrometers.\nAnswer: 824.7943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is -14 (base 13) in base 5?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Round -672380 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let s = 0.26 - -0.04. Let y = -7\/31 + 181\/527. Let r = 0.1 + -0.1. Which is the closest to r? (a) y (b) -2\/13 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t be (-5 - 27141\/(-153720)) + (-2)\/(-10). Let j = 21171 + -27120053\/1281. Let m = t + j. What is the common denominator of 125\/18 and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 14685.\nAnswer: 3, 5, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: 1000001001101111000100 (base 2) to base 9\nAnswer: 4016405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 0.4 - 0. Let n = l - 0.8. Let z = -145\/4 + 1571\/44. Which is the third smallest value? (a) -2\/9 (b) n (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (9\/(-108)*10)\/5.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: -525 divided by 61\nAnswer: -525\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the oth term of 302, 299, 294, 287, 278?\n\"Answer: -o**2 + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Multiply 2 and -66.702.\nAnswer: -133.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 1125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let d(k) = -2*k**3 - 22*k**2 + 2*k + 25. Let a be d(-11). Solve 0 = f + 2*h + a, -3 = -3*f - 5*h - 10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} -{"text":"Question: Which is greater: 1 or 2\/228819?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3*r + 4*o = -11, -111*o = 4*r - 108*o - 23 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What is 43\/4 of a microgram in nanograms?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Which is bigger: 122\/443275 or 0?\nAnswer: 122\/443275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (q\/q**(1\/5))**(-20)*q**(-2)*q\/q**5 assuming q is positive.\nAnswer: q**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 54 - 54. Suppose -15 = -3*t - n. Suppose 2*z + 126 = t*b - 2*z, -5*z - 47 = -2*b. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 352*u**2 - u - 120.\nAnswer: 704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*y = 3*c - 273, 3*y + 163 = 5*c + 544. What are the prime factors of y?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v be 1\/(-2)*(-3 - 6\/(-2)). Let c be (-7)\/(812\/8) + v. Put c, 5, -1 in increasing order.\nAnswer: -1, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -s + 2*r + 3*r - 35 = 0, -2*r = -8. Let g be 2\/(-4)*(-49 + s). What is the units digit of g + -29 + 0 + 76?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 2985.99996374 - 2986. What is h rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from tdabbattabbbdabab. Give prob of picking 1 t and 1 d.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let d be (2562\/(-15))\/(27\/135). Let f = -710 - d. Calculate the smallest common multiple of f and 96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n be ((-50456)\/(-221))\/(1*-2). Let s = 114 + n. What is the nearest to -1 in 1, -0.4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d(i) = 1247*i**5 - 2*i**2 - 517*i + 1. Let a(r) = 2496*r**5 - 3*r**2 - 1034*r + 1. Let w(s) = 3*a(s) - 5*d(s). Find the second derivative of w(m) wrt m.\nAnswer: 25060*m**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(y) = -y**2 - 9*y - 6. Let h be s(-8). Suppose -d + 2*f = -15, -h*f = -0*f + 10. Solve 2*i**3 - d*i**3 + 11*i**2 + i**3 - 5*i**2 = 0 for i.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Are -2208534 and -2208543 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 660584?\nAnswer: 2, 71, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 60*n + 280 = 70*n. Differentiate -57*v + 55*v + 29 + 7 - n*v**2 with respect to v.\nAnswer: -56*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f be 12*(15\/(-9) - -3). Suppose -5*h = -59 - f. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 36\/16 + ((-92)\/(-16))\/(-23).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -113\/282 and -11\/1934517?\nAnswer: 181844598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from jxgyjgxujuygxgjunn.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((o**(-1\/42)*o**(-3\/5)*o)**23)**(-1) assuming o is positive.\nAnswer: o**(-1817\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let q(p) = p + 5. Let x be q(0). Let y = x + 3. Let r = -9 + y. Are r and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -7*w = 4*w - 220. List the prime factors of w\/50 + 446\/10.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p(b) = b**2 + 2. Let u(t) = t - 12. Suppose 30 = 2*l + l. Let j be u(l). Let g be p(j). Solve -2*a = -4*a - g for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 1 in 1.4, -190, -56\/3, -0.49?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Is 86244094099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let s be (6 - (-1 + 4)) + 8. Differentiate -s*y - 93 + 2*y - 34 - 26 + 23 + 11*y**2 with respect to y.\nAnswer: 22*y - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 131 + -92. Let b = 68 - o. What is the remainder when 85 is divided by b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 5, what is 1 - 111101130?\nAnswer: -111101124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let d(n) = -4*n**2 + n - 3. Let b be 2*(2 - (-11)\/(-2)). Let s = -12 - b. Let k(o) = 2*o**2 + 1. What is s*k(w) - 2*d(w)?\nAnswer: -2*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: -1.419 - 1361\nAnswer: -1362.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let f(t) = t**3 + t**2 + t. Let x be f(-1). Let c be (2\/6)\/(x\/(-3)). Let o be 4 - (c\/1 + -2). Solve -8*p + 3*p + 15 = -3*v, 5*v + 25 = o*p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 3, what is -11111020 + 10?\nAnswer: -11111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is -10236 (base 7) in base 13?\nAnswer: -11c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is 17 + (19 - ((-19 - -16 - -17) + 23))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let o = -11 - -16. Suppose o*h = 5*j, 2*h - 4*j = 7*h. Sort -1, -4, h.\nAnswer: -4, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*b + 819 = 12*b. What is the remainder when b is divided by 2 - (2 + (-2 - 28))?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 958 = -2*a + 9*t, 8*a + 343*t - 173*t - 171*t = 4*a - 114 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4055*r**2 - 8370*r - 520 = 0 for r.\nAnswer: -2, -52\/811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 1625 and 164411.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let d(a) = -91*a**2 - 2*a + 14. Calculate d(1).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let c(q) = 38*q - 171. Calculate c(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from mdmgrgmrrdrrdgdg. Give prob of sequence mr.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -9*t**2 - 23*t - 14*t - 30*t + 67*t.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 1078 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*n + r = 3*r - 5, -n + 5*r + 13 = 0. Let w(v) = -v**3 + 4*v**2 - 2*v + 3. Let z = 10 - 0. Calculate the remainder when z is divided by w(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: (2 - (82 - -5)) + (5 - 2) - (-27 + 16)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Divide -1738 by 7154.\nAnswer: -869\/3577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let h(q) = 62*q**3 - 114*q**2 + 25*q - 45. What is h(2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*z = -4*h - 4, 0 = -z + 3*z - h - 7. Suppose p - 16 = -4*r, 4*p = -8*r + 3*r + 42. Let a(v) = -v**2 + p + 14*v + v**z + v**2 - 23*v. Determine a(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p(y) = 6*y**2 + 80*y + 31. Let d be p(-13). Solve 4*r - d = 2*k + k, 3*r = -k - 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -42*p + 65*p - 2288 = -65*p for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 8691*f**2 + 1 - f - 7888*f**2 - 1 to the form o*f**2 + u + j*f and give o.\nAnswer: 803","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 25131808.\nAnswer: 2, 13, 60413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let l be 17\/((-952)\/48)*-4928. Solve 4*f + 4212 - l = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort -27, 117, 1, 5.\nAnswer: -27, 1, 5, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let v(j) = -4*j**3 + 5*j**2 + 2*j - 6. Let x(w) = 12*w**3 - 16*w**2 - 7*w + 19. What is -7*v(h) - 2*x(h)?\nAnswer: 4*h**3 - 3*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let b(n) = 5356*n + 41903. Calculate b(-8).\nAnswer: -945","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -863 + 1209. Suppose n = 19*q + 23. Solve -2*r = -5*r + o + q, -4*o = -5*r + 40 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {o: 2, k: 9}. What is prob of sequence oo?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Simplify w**2*w**(-3\/8)*(w**(-1\/5)\/w)\/w**(4\/9)*(w**(2\/15)*w*(w\/((w**(-4)\/w)\/w)*w*w)\/w)\/(w**(-1\/4)\/w**4) assuming w is positive.\nAnswer: w**(4811\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -7*f + 20 = 3*f. Calculate the least common multiple of f and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 0? (a) -5 (b) -2\/47 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let x be 3*(-4)\/3 - -3. Calculate the remainder when (-216)\/(-3) + x + 0 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express 2*b**3 - 5 - 71*b**2 + 1254*b - 1 - 2510*b + 5 + 1252*b as u + v*b**3 + s*b**2 + n*b and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*r + 19 = o, 6*o = 5*o - 3*r + 16. Let l = 64 + -33. Find the second derivative of 21*u - o*u**2 - l + 31 wrt u.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the sixth biggest value in -4, -0.4, -28111, 5, 1, 0.1?\nAnswer: -28111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let c(j) = 10*j + 8. List the prime factors of c(8).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third smallest value in 0, -40, -56\/31?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 688 + -673. Suppose 3*p - 5005 = 4*m, 2*m = h - 11. What are the prime factors of p?\nAnswer: 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*p - 6 + 32 = -5*x, -5*x + 2*p - 32 = 0. Let m(a) = 31*a + 208. Calculate the least common multiple of m(x) and 190.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a be ((-24)\/(-28))\/((-4)\/(-28)). Suppose a = m - 0. Suppose -m*y + 13471 = 253. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 143*p - 4*p**3 - 95*p + 68*p + 2*p**3.\nAnswer: -2*p**3 + 116*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 3153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let w(n) = -38*n**3 - n**2 + 1. Let y(g) = 39*g**3 + g**2 - 1. Let f(t) = 4*w(t) + 5*y(t). What are the prime factors of f(1)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth smallest value in 0.07, 15, 1\/5, 3\/7, 7.1?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 60 - 43. What is the remainder when 89 - (-1 + -2 + 4 - -9) is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from dhicwcl. What is prob of picking 1 d, 1 c, and 1 h?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 14636845 is divided by 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is 495715 to the power of 1\/2, to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*j + 26 + 4 = 0. Suppose -3*m + 33 = -j. Solve 5*p + 3*w = -19, 0 = -3*p - 4*w - m - 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*a = -5*d + 1 + 24, -5*a = -4*d - 7. Factor -2\/5*j**5 + 6\/5*j**a - 8\/5*j + 8\/5*j**2 + 0 - 4\/5*j**4.\nAnswer: -2*j*(j - 1)**2*(j + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h(l) = 714*l**3. Let x(g) = 17*g**3. Give -2*h(p) + 85*x(p).\nAnswer: 17*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is 214.98275 rounded to the nearest 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Sort -122, -40, -6, 7, -4, -2, 5 in decreasing order.\nAnswer: 7, 5, -2, -4, -6, -40, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let u be (-22)\/(-12) - (-5)\/30. Suppose 0 = -h - 0*h - 21. Let k = h + 26. Solve -u*w = -k*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(54)\/(sqrt(6)*2))\/(-6*sqrt(6)\/sqrt(2)) - (1 + sqrt(147)*-1*2)**2.\nAnswer: -589 + 335*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Is 5347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: In base 14, what is 2c - -164?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -40*t - 39 + 43 + 76 = 0. Calculate the remainder when (17\/3 + -1)*3 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 27*s - 27 = 29 + 25 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let c(d) = -6*d. Let j(w) = 29*w - 21. Let m(l) = 20*l - 255 + 502 - 262. Let b(f) = -5*j(f) + 7*m(f). Give b(c(q)).\nAnswer: 30*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-4*sqrt(17) + -5)*3.\nAnswer: -12*sqrt(17) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -21*l**3 + 0*l**2 + 2*l**3 + 0*l**2.\nAnswer: -19*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let u be 0*(-2)\/(-8)*-2. Suppose -v + 65 = 6*j - 3*j, -3*j - 4*v + 71 = 0. Let a be (14\/j)\/(4\/6). Solve -t + 3 - a = u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -o + 4*o - 5*i - 65, -3*i + 48 = 4*o. Suppose 1177*v - 8 = 1176*v. Let a be o\/20*v\/3. Sort a, -4, -2 in descending order.\nAnswer: a, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand 158*w**3 - 50599 + 50599 + (-2*w + w + 0*w)*(183 - 183 + 8*w**2).\nAnswer: 150*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Is 122530141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 38 - 34.3. Let w = n + -3.8. What is the fourth smallest value in -1, w, 4\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 2 h and 1 z when three letters picked without replacement from hhtmhzzhzzt?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of -41 + 34 - (5 + -3 + (2 - 20))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Is -963 < -962?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Is 1454781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (v\/(v**6\/v)*v\/v**8*((v**(-6\/7)\/v)\/v)\/(v*v\/(v**(-1\/7)\/v*v*v)))\/((v**(1\/3)*v)**(-2\/157)\/(v**(-7)*v*v**(-3\/8))) assuming v is positive.\nAnswer: v**(-80477\/3768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Solve b = -12 + 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -6 = 4*h + 6, 0 = -5*v - 5*h - 94365. Is v\/(-8) - 11\/(-44) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.033 (c) -375\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 138768 and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let t(l) = 0*l + 15*l**3 - 1 - 7*l + 3. Let s(k) = -k**3 + 4*k**2 - 2*k - 2. Let z be s(2). Let r(c) = -8*c**3 - z + 1 - 7*c + 11*c. Give 11*r(v) + 6*t(v).\nAnswer: 2*v**3 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Suppose q = -0*q + o + 1311, 0 = -4*q - 2*o + 5244. Let u = -698 + q. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f = -19 - -11. Let p(t) = -38*t - 15. Let u(h) = -18*h - 7. Let q(w) = -4*p(w) + 9*u(w). Is q(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(q) be the second derivative of -q**6\/360 - q**5\/160 + q**4\/96 + q**3\/6 - 37*q**2\/2 - 4*q. Let f(p) be the second derivative of j(p). Factor f(c).\nAnswer: -(c + 1)*(4*c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred millions digit of 126138495?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 23041\/14 + -1649. Let q(c) = -c**2 + 3. Let r be q(3). Find the common denominator of (r\/(-8))\/((-11)\/462) and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence co when two letters picked without replacement from {c: 2, o: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -24182*0.044.\nAnswer: -1064.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the distance between 317548 and -0.09?\nAnswer: 317548.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let s = 32.03 + -32.4. Which is the smallest value? (a) -2\/3 (b) 0.4 (c) -6 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 929099986?\nAnswer: 2, 464549993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Is 0 less than -8\/129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -b = -33 + 30. Solve -2*h + 13 = b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 21 - 98.176?\nAnswer: -77.176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -324*g + 2776 = -316*g. What are the prime factors of g?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((c**2*c*c*c**(-1)*c)\/(c*c**(-1\/4)\/c)**(14\/15))\/((c**(-2\/3))**50\/(c*c**(-4)*c**(4\/7))) assuming c is positive.\nAnswer: c**(7379\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Are -0.1 and 3224 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {x: 1, u: 5, n: 2, z: 3, g: 7, t: 2}. What is prob of sequence zux?\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: In base 3, what is -10010 - 2?\nAnswer: -10012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of 154\/8 - 8\/32 and 3?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 1:26 PM and 2:04 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 17\/2266 and -105\/2266.\nAnswer: 2266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let s be (7 - 2)\/(1\/1). Let v(b) = b**3 + 10*b**2 - 12*b - 6. Let m be v(-11). Suppose a - 4*x - 13 = 0, 2*a + m*x = -2*a - 11. Solve a = 6*w - s*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-1*(-1*sqrt(6) - sqrt(6)))\/(sqrt(3) - (sqrt(3) - -1*sqrt(12)\/sqrt(4)) - sqrt(3)) + 1.\nAnswer: -sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let r(j) be the third derivative of j**6\/600 - 2*j**5\/75 - 53*j**4\/120 + 2*j**3 - 24*j**2 + 6*j - 8. Factor r(o).\nAnswer: (o - 12)*(o - 1)*(o + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g(j) = j - 2. Let m be g(2). Solve 0 = t - m*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the zth term of -11, -4, 5, 16?\n\"Answer: z**2 + 4*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -69\/26728472 and -74\/9.\nAnswer: 240556248","meta":{"dup_signals":{},"source":"numbers__lcm_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: Solve -111*k - 24024 - 26041 = -3056*k for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 10702806 and 192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: 2\/69379161 or -1?\nAnswer: 2\/69379161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from fff. What is prob of sequence ff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is 95285 to the power of 1\/2, to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 0.12 - -0.28. Suppose -5*h + 0*h = 0. Suppose h = u + u. Put u, -1, g in increasing order.\nAnswer: -1, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 249 = 3*f + 102. Let m(c) = c**2 + c + 2. Let i be m(5). Let n = f - i. What is the remainder when n is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 4, what is 2110 + 300?\nAnswer: 3010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let s(o) = -784*o. Let z(n) be the third derivative of -11*n**4\/24 - 105*n**2 + 28*n. Determine z(s(u)).\nAnswer: 8624*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 2 t and 1 g when three letters picked without replacement from {t: 7, g: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Expand -11*w**4 + 0*w**4 + 3*w**4 + (-5*w + 5*w + 13*w**2)*(-2*w**2 + w**2 - w**2).\nAnswer: -34*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Solve 3*h + 255 = 20*g, 4*g - 52102 = -5*h - 52079 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 5:28 PM and 10:37 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -16*b**2 - 4 + 5 + 0.\nAnswer: -16*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let d = -61 - -37. Let f be ((-10)\/39)\/(d\/(-36)). Which is smaller: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of h**2*x**3 - 10*h*x**3 - 52*x**3 wrt h?\nAnswer: 2*h*x**3 - 10*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Put -2, 4, 1, -1, 2, -51 in increasing order.\nAnswer: -51, -2, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 6016\/7 - 14002\/21. Let z = -164 + h. Let r = z - 28. What is the nearest to 0 in r, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -117\/620 and 161\/2178990.\nAnswer: 4357980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 73581?\nAnswer: 3, 24527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Does 200 divide 33872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is 1198.3 minus 9?\nAnswer: 1189.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is 2038 divided by 2?\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -9 = -s - 6. Let i(k) = k**2 - k + 1. Let l(b) = 0*b + b - 4*b - 88*b**2 + 44*b**2 + 46*b**2. What is s*i(u) - l(u)?\nAnswer: u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*h + h = -20. Suppose l + 84 = 5*p, -h - 31 = -p + 5*l. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put 2\/9, 5, -107\/5 in decreasing order.\nAnswer: 5, 2\/9, -107\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-2 + sqrt(325))**2 + -4*1*sqrt(13).\nAnswer: -24*sqrt(13) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 53918504.\nAnswer: 2, 19, 354727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Is 9418163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Find y such that 45*y - 9*y + 108*y - 69*y**2 + 129*y + 3*y**3 + 1521 = 0.\nAnswer: -3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z(q) = 18*q. Let j(o) = -4*o + 12*o - 5*o - 4*o. Give j(z(t)).\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let r be 10\/75 + 4\/90*-3. Suppose 6*l - 49 - 65 = r. Find the first derivative of -22*m**3 - 6 + l - 19*m**3 + 17 wrt m.\nAnswer: -123*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 3*q - 2*q + 15. Let n = 21 + q. Calculate the remainder when 16 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 202*r - 161*r - 3895 = 0. What is the remainder when 2562 is divided by r?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express 30 + 2*k + 13 - 22 + 105*k**2 - 15 in the form x + y*k**2 + r*k and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-1577*t + 1577*t + 514*t**2)*((-3*t - 2*t**2 + 3*t)*(-4 + 1 + 1) + t**2 - 4*t**2 + 4*t**2).\nAnswer: 2570*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: 5*((8 - 4) + -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(o) be the third derivative of -3\/8*o**4 - 1\/60*o**5 + 0 + 0*o + o**2 + 0*o**3. Let v be n(-7). Calculate the greatest common factor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of 10061.135 and -2?\nAnswer: -20122.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -55, -63, -91, -151, -255, -415?\nAnswer: -643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(40)\/(sqrt(196) + sqrt(196) + (sqrt(196)*4 - sqrt(196)) - sqrt(196)))\/(4*-2*sqrt(98)).\nAnswer: -sqrt(5)\/1568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 1920658575.\nAnswer: 3, 5, 11, 2328071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of 55*f**5*o - 2561*f**3*o - 2*f**2*o + 4*f**2 + 253*f*o wrt f.\nAnswer: 3300*f**2*o - 15366*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((-248)\/(-434))\/((60\/35)\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is 1 (base 6) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let d be (-9)\/(-5)*(-11)\/(-33). Let f = 0.3 + -0.8. Which is the biggest value? (a) d (b) 3\/8 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o(b) = -2*b**2 + 16*b + 73. Calculate o(-6).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -43906366963.9 - -240.\nAnswer: -43906366723.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let o be (-3)\/9 + 9\/25. Is 1 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put -52, 5, -4 in descending order.\nAnswer: 5, -4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest common multiple of 31 and 7?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*m**2 - 22750*m + 22745 = 0 for m.\nAnswer: 1, 4549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: -4220 (base 5) to base 2\nAnswer: -1000110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the lowest common multiple of 183 and 17?\nAnswer: 3111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*q = -5*t + 18, 3 = t + q - 3. Suppose 0 = -2*a - t*a + 116. Suppose 23 = 4*g - a. Solve 1 = 4*x + g for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 2.186 + 0.374. Let t = g - 3.06. Which is the second smallest value? (a) 1 (b) t (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is ((-3)\/33)\/((-2)\/(-4))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 3351756 is divided by 372413?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is -100 + 10101111011101110101110110?\nAnswer: 10101111011101110101110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 67464 = 46*x - 37*x. Let v(p) = 7496 - x - 12*p. Let n(z) = -z. What is n(v(d))?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -5*c + 4*z + 10 + 4, -2*c - 8 = -5*z. Let m(f) = 2*f**2 - 13*f + 15. Let b be m(c). Suppose -v - 7 = -b. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 16, what is -1 - 4d02?\nAnswer: -4d03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Is -1\/19 not equal to -6648?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Product of -1.27 and 20125.\nAnswer: -25558.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the kth term of 276, 279, 282?\n\"Answer: 3*k + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 5\/4? (a) -0.1 (b) 3\/4 (c) -2\/7 (d) 789 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Expand s**4 - 2*s**3 - 3*s**4 + s**2 - 2*s**2 + (0 + 0 - 2*s**4)*(-8 + 43 - 20).\nAnswer: -32*s**4 - 2*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Is 1421573 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the lowest common multiple of 289659 and 24.\nAnswer: 2317272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(121) + 6*-1*sqrt(121))\/(sqrt(1331)*-1) + -2)**2.\nAnswer: -20*sqrt(11)\/11 + 69\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let m(y) = -y**3 + 27*y**2 + 105*y - 3885. What is m(25)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 48\/3691 (c) 595\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth smallest value in 817, 1, -18.2, -3?\nAnswer: 817","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Express (4 - 4 + 2*t)*(2 + 0 + 0)*(2 - t + 2*t - 1) as k*t + a + r*t**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let u(r) = r**2 - 5*r + 3. Let z(s) = -2*s**2 + 4*s - 2. Let d(y) = -4*u(y) - 5*z(y). Let n be d(2). Is n at least 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g(a) be the first derivative of -a**4\/2 - 3*a**3 - a**2\/2 - 6*a + 78. Does 24 divide g(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: 140 * 0.0595\nAnswer: 8.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -66*b**2*l**4*o + 2*b**2*l**2 - 3*b*l**2 + 2*l**6 + l**2*o - 2*o wrt l?\nAnswer: -1584*b**2*l*o + 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Is 3104444815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = d - 5*o + 1 + 25, d = o - 6. Let l(b) = -14*b. What is l(d)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is -576 at least -1732\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let v(f) = -19 + 0*f + 2 + 8 + 9*f - 5*f**2. Let n(h) = h**2 - 2*h + 2. Let j(u) = 18*n(u) + 4*v(u). Let m(d) = 5*d**2. Determine j(m(t)).\nAnswer: -50*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Is 29 a factor of 27318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let v(r) = -20*r**3 - 14*r**2 - 22*r - 8. Let u be v(-1). Solve -25*k = -u*k + 5*m + 15, 0 = 5*m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l be 20\/(-3)*(-1 - 62). Let f = l - 10. Suppose -f = -s - s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m = -1375242 - 17678329. Let d be m\/(-5) + (-1)\/5. Suppose -t = d - 210714. Round t to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 409396907.\nAnswer: 17, 24082171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 921 is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the qth term of 359, 370, 389, 416, 451, 494, 545?\n\"Answer: 4*q**2 - q + 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let k(m) = 2*m**2 - 5*m - 4. Let s(v) = 0 + 3 - 2 - 7 + 3*v**2 - 7*v. Determine 7*k(h) - 5*s(h).\nAnswer: -h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -3 + 189195*q - 1 + 4.\nAnswer: 189195*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Work out -0.496 * 4.\nAnswer: -1.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Factor 917*l**2\/2 - 229*l\/4 + 7\/4.\nAnswer: (14*l - 1)*(131*l - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 15 + -12. Sort 26, 0, m in ascending order.\nAnswer: 0, m, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 1.41 - 0.01. Let g = -1.6 + r. Which is smaller: g or 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3\/2*g + 0 - 19\/2*g**2 - 33\/2*g**3 - 9\/2*g**4 = 0. Calculate g.\nAnswer: -3, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 166 divide 1620084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let j be 2\/(-4)*(-16 - -6). Let a be (-25)\/(-2)*4\/5. Suppose 4*o + a = j*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o = -425 - -1271\/3. Which is the smallest value? (a) -20\/7 (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -67 or -48\/1075?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 389560, 389405, 389250, 389095, 388940, 388785?\nAnswer: 388630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (19 - -69) + -54 + -72.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 1 + 0 = -a + q, -4*q = -5*a - 1. Suppose -176 = -2*g - 2*o, 272 = a*g - 12*o + 7*o. List the prime factors of g.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {x: 4, f: 4, l: 1, b: 1}. Give prob of sequence xfxf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*q + 16*x - 12*x = -5, 4*x = -4*q - 8. Find the third derivative of 45*k**2 + 11*k + 13*k - 2*k**4 + 3*k**q - 22*k wrt k.\nAnswer: -48*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 3886?\nAnswer: 2, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 77991489\/25 or 3119661?\nAnswer: 77991489\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is 4 (base 6) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -15, -267, -949, -2277, -4467, -7735, -12297?\nAnswer: -18369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 53 - 51. Which is the nearest to 0.4? (a) 4 (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -17*m = -0*m - 272. Let v be ((-4)\/m)\/((-2)\/112). Calculate the greatest common factor of v and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 10, what is 1 - 19194461?\nAnswer: -19194460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-134)\/(6*2*(96\/8)\/72).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 69\/5*l**3 - 384\/5*l + 1\/5*l**4 + 314\/5*l**2 + 0 = 0. Calculate l.\nAnswer: -64, -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d(s) = s**3 - 7*s**2 + 3*s + 2. Suppose 3*m = -2*m - 30. Let r be (2\/3)\/(m\/(-63)). Is d(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -4*o + 3*v + 55273, -36*v + 34*v = 5*o - 69120. List the prime factors of o.\nAnswer: 2, 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 684682 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 301*p = 299*p + 7392. Is p a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round 8601400 to the nearest ten thousand.\nAnswer: 8600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Put -0.1, -24, 2\/77 in increasing order.\nAnswer: -24, -0.1, 2\/77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: In base 14, what is 5004 + -42cc?\nAnswer: b16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of 748*h**2*p**2 + 2*h**2 + 15*h*p**2 + 2*h - 11904 wrt p.\nAnswer: 1496*h**2*p + 30*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 28*k - 2*k + 8*k + 272. Let p(v) = v**3. Let o be p(-1). Let f = -0.271 - 0.129. Which is the third smallest value? (a) k (b) o (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundred thousands digit of 500446?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let v be (-1)\/(-6) - 0\/2. Let s be 5781\/(-5904) + (-10)\/480. Put 15, s, v in descending order.\nAnswer: 15, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 2 + -5. Let u = 2.2 + -2. Let q(b) = b**3 + 6*b**2 - 8*b - 8. Let x be q(-7). What is the closest to x in 4, u, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -s + 49 = -3*d, 3*s - 172 = -0*s + 4*d. What is the highest common factor of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve a - 9 = -2*c, -a + 13*c + 24 = 18*c for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-143)\/11*280\/455.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 1\/59 + 113\/295. Let c = -15\/13 + 101\/65. What is i in -f*i**2 + 0*i - c*i**4 - 4\/5*i**3 + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (k**3 - 4*k**3 + k**3)*(-42 - 47 + 89 + 3028*k - 4279*k).\nAnswer: 2502*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Determine z, given that -5*z**3 - 670*z**2 + 341745*z - 1019070 = 0.\nAnswer: -338, 3, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 23\/196854 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 1236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 3 z and 1 d when four letters picked without replacement from {z: 1, d: 3, k: 7, b: 2, q: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is -3 (base 6) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Sort 165, 5, 91337, 4 in increasing order.\nAnswer: 4, 5, 165, 91337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 27.17 + -27.17. Which is the closest to 0.079? (a) 3 (b) 0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify z**(5\/2)\/z**12 assuming z is positive.\nAnswer: z**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to -0.7 in -0.2, 24\/3835, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -359, -1437, -3245, -5783, -9051?\nAnswer: -13049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the rth term of 663, 1342, 2021?\n\"Answer: 679*r - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 2\/15 in 4754, 0, -2051?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the oth term of 179631419, 359262838, 538894259, 718525682, 898157107, 1077788534?\n\"Answer: o**2 + 179631416*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let m = -2299 + 2299. Solve 2*z + m = -2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 2\/(-7) + 8030\/77 + -17 is divided by 35.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t be (1 + -2)\/((-2)\/6). Suppose -a + 31 = -t. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: -bb8942 (base 12) to base 16\nAnswer: -2d7a42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let a = -3496142\/87 + 40185. Calculate the common denominator of (-22)\/12 + -2 + 11 + (-4 - 3) and a.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 1 in 0, 1140, -1\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: 570 divided by 15\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Determine i, given that 2*i**3\/3 + 10396*i**2\/3 + 463858*i\/3 + 453464\/3 = 0.\nAnswer: -5153, -44, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Convert -101011111011000000110 (base 2) to base 10.\nAnswer: -1439238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -0.084 - -3.084. Let s = -0.0366 - -0.2966. What is the biggest value in 0.2, s, v, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(j) = -3*j**2 - 63*j - 13. Determine k(-21).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -1077, -4120, -9183, -16260, -25345, -36432, -49515, -64588?\nAnswer: -81645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-520)\/(-6)*(-26910)\/22425?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is 21\/4 of a minute in seconds?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (j**(-10)*j**(2\/19)\/j)**(4\/7)*((j*j**5)\/j**(-4))\/(((j\/j**(-7\/5))\/j*j)\/j**7) assuming j is positive.\nAnswer: j**(5569\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 514 + 258. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -22388 plus -25?\nAnswer: -22413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*v - 2*v + 15 = 0. What is the remainder when 9 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 18 a factor of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let m(i) = 5*i - 8. Is m(14) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 50 - 25. Calculate the remainder when 48 is divided by l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k be 0 - 3*(-2 - -1). Let l = 2 + -2. Let n = -0.1 - l. Sort k, n, -0.2 in decreasing order.\nAnswer: k, n, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 91668?\nAnswer: 2, 3, 7639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let t(p) = 156*p - 1711. What is t(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let l(y) = 7*y**3 + 2*y**2 + 6. Let r(t) = 29*t**3 + 9*t**2 + 24. What is -9*l(p) + 2*r(p)?\nAnswer: -5*p**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let n(y) = -75*y**2 + 369*y**2 + 402*y**2 + 148*y**2. Let k(a) = 19*a. Give n(k(l)).\nAnswer: 304684*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 87\/10 and -4 + -2*(-123)\/(-36).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.0552 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Simplify c**(-10)\/(((c\/c**12*c)\/c)\/c*c) assuming c is positive.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is 2 - (5 - (9 - 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Are -21 and 3314202\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Expand -18*j**5 - 8*j - 7*j + 16*j**5 + (-3 + 3 - 2*j)*(j**4 - 3 + 3).\nAnswer: -4*j**5 - 15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 6, 25, 62, 123, 214, 341, 510, 727?\nAnswer: 998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 91082813?\nAnswer: 79, 1051, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let b = -106 + 106. Suppose -3 = -3*w + 3. Let z = -288 - -288. Solve -w*v + z - 4 = b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 v, 1 i, and 1 q when three letters picked without replacement from qvvvxxitxvx.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((q\/q**(-1\/6))\/((q*q\/q**(1\/2))\/q))\/((q*q\/(q\/q**(-1\/4)))\/q**3)*(q**(-1\/2)\/(q*q*q**2))**(1\/92) assuming q is positive.\nAnswer: q**(1583\/552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -31 = -7*j + 11. Solve 4*n - 14 = -q, -n + q = -j*n + 18 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 3183 is divided by 33.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is -64 divided by -32?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((f*f*f*f*((((f**(2\/9)*f*f)\/f)\/f)\/f)\/f*f)\/(f*f*(f*f*f\/(f\/(f**(-5)\/f*f*f))*f*f)\/f))\/(f\/(f*f**(-1\/4)*f))**(-47) assuming f is positive.\nAnswer: f**(-1189\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) 21 (c) -125 (d) 0.3 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*m + 0*h + 5 = 3*h, -h + 2 = -2*m. Let l = m - -3. Find the first derivative of 0 - g**2 + l - 3 wrt g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q = 316 + -314. Let s be (-25 - 50)*(q\/3 - 1). Solve -3*z = -b + s - 10, 3*z = -4*b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the least common multiple of ((-16)\/5)\/((-2)\/5) and 1\/4 + 63\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 0 divided by -62.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -86 - 0 - (-153 - -32 - -115).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let g = 1 - -3. Let j = 4 + -4. Differentiate j + i**4 + 1 + i**g wrt i.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -470*i - 6561 + 13951 + 11512 = 257*i for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let h(y) = -3*y - 1. Let c be h(-1). Is 11 a factor of c\/(272\/132 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 10, what is 15 - -23?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let o(v) = -v**2 - 7*v + 8. Let r be o(-8). Let c(k) be the second derivative of -k**3\/6 + 7*k. Determine c(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -5*j + 10*j - 21 = -3*u, j = 4*u - 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Work out 8818111 * -2.\nAnswer: -17636222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 4414 is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let b(r) = 115*r**3 - 2*r + 1. Let n = 12 + -11. What is the remainder when b(n) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 1303, 2395, 4211, 6751, 10015?\nAnswer: 14003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -1992095189.7 + 0.8.\nAnswer: -1992095188.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Total of 0.5 and 0.5522.\nAnswer: 1.0522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 7572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Is 31 a factor of 2821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -0.4*-2145565.\nAnswer: 858226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 624205 + -319064. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: 0.3 + -24260\nAnswer: -24259.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Put -18, 4, 0, 3\/7 in descending order.\nAnswer: 4, 3\/7, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 6*d - 1283 = 109. List the prime factors of d.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put 13, -18, -1\/4, 5 in decreasing order.\nAnswer: 13, 5, -1\/4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let w(s) = -4*s - 1. Let q(h) = -84*h + 7. Let k(x) = q(x) - 28*w(x). Let b be k(1). What is the highest common factor of b and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z be 133 + (3 + 2)*-1. Suppose -z*g = -126*g - 26. What is the remainder when 116 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v(g) = g**2 - 2*g - 8. Calculate the smallest common multiple of v(6) and (-110)\/(-2)*(24\/(-10))\/(-6).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(r) = 6*r - 6*r + 9*r - 5*r. Let v(s) = 2*s**2 - 7*s. What is a(v(z))?\nAnswer: 8*z**2 - 28*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is -374084 divided by 2?\nAnswer: -187042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: -1 divided by -46125001\nAnswer: 1\/46125001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let o = -243 - -189.4. Let n = o - -50.6. What is the biggest value in -2\/9, n, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 186 + -122. Suppose 2*c = -2*c - a. Let m = -5 - c. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c = 925 + -505. Suppose 5*j - v = -c, 0*j + 155 = -2*j + 3*v. What is the smallest common multiple of (-374)\/j - 4\/10 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 33\/12136 and 89\/740.\nAnswer: 60680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Round -30251.63 to the nearest one hundred.\nAnswer: -30300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let c(x) = x**3 - 7*x**2 - 2*x + 7. Suppose 3*j = -3*j + 42. Let q be c(j). Calculate the common denominator of -35\/18 and (q\/(-25))\/((-12)\/510).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -14*25\/(-40425)*(-28)\/4*-9.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let d be 9\/(-12) - (-2 + 1). Let c = -590.05 + 590. Is c smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 22 in -1\/2, 96, 2, -1\/68, -1, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Is 2317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 3 + ((-2 + sqrt(128))**2 - (sqrt(200)*2)**2)*-3.\nAnswer: 96*sqrt(2) + 2007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Is 0 at most 87\/221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -48 = -0*d - 4*d. Let l(c) = 240*c - 9756. Let s be l(41). What is the highest common divisor of s and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h be (19 + 2 - 1)\/1. Let j be ((-8)\/12)\/(1\/(-33)*2). Solve -5*c + p + 11 = -j, -5*p = c - h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n(k) = -k**2 - 5*k - 4. Let q be n(-4). Let t = 11 - 8. Suppose t = 3*l - 6. Solve -2*f + l*f - 3 = q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q(a) = 6*a**2 + 14*a - 33. Determine q(6).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 6461*s**2 - 34*s**3 - 6461*s**2 + 45*s**3.\nAnswer: 11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: 0 divided by -33188\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-6 + 3 + 1 + (-2 - 1 + 2)*(0 + 1 + 2) + 4 - 4 + 1)*(7*k - 1 + 1) to w + s*k and give s.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let z be 16\/(-12) + (-3)\/(-9). Let w be (-3)\/((-12)\/20) + z. Solve -3*t = -w*r - t + 6, -4 = -4*r + 4*t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 80, 93, 128, 197, 312, 485, 728?\nAnswer: 1053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence mbm when three letters picked without replacement from {n: 1, m: 2, b: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(143) + sqrt(143)*-2)*3)\/(sqrt(176)*1 - sqrt(11))*6.\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.009712 to 4 decimal places.\nAnswer: 0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 138 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*d + d = j + 15, 3*d + 36 = -j. Let g = j - 76. Let p = -60 - g. List the prime factors of p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u(c) = c**2 + 3*c + 2. Let s be -1*(1 + -2)*1. Suppose r + 3 = -s. List the prime factors of u(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -32 = -5*x + 78. Suppose -28*c = -30*c - x. Let d be ((-33)\/(-12))\/c - 7\/(-4). Do 2\/3 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*o - 11 = -1. Let x(v) = -3*v - o - 2*v**3 + 3*v**2 + 4 + v. Suppose -3*c + 7 = 1. Calculate x(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 157 + -155. Solve m = -k*m + x - 10, m + 4 = x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*x + 3*m + 17 = 0, m = -0*x + 5*x. Sort 1, x, 0, 5 in descending order.\nAnswer: 5, 1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(i) be the first derivative of 0*i + 1\/2*i**2 + 0*i**4 + 1\/20*i**5 - 1\/2*i**3 - 1. Let r(m) be the second derivative of y(m). Find u, given that r(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f(h) = h**3 - 21*h**2 - 15*h + 58. What are the prime factors of f(24)?\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 144644489?\nAnswer: 11, 29, 41221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let s be 16746*(-2)\/(-3)*2. Suppose -3*j + s = 233. Suppose -8635 = -4*v + j. What is v rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 188668748.\nAnswer: 2, 79, 597053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: 0.027 times -40.3\nAnswer: -1.0881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 2*k**5*v + 2910*k**5 + 17*k*v - 10*k - v wrt k.\nAnswer: 40*k**3*v + 58200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 13*v = -15*v - 11004. Find the common denominator of 37\/18 and v\/90 + (-2)\/12 + 0.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the ninth root of 35367306 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let r be 1\/(((-6)\/(-9))\/(-2)). Let t be 2 + -5*(-2 - r). Let x be (-4)\/(-12)*18\/t. Let p(z) = z**3 - 2*z**2 - 2*z. What is p(x)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the lth term of 198245442, 198245439, 198245426, 198245397, 198245346, 198245267?\n\"Answer: -l**3 + l**2 + l + 198245441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let x(z) = z - 3. Let b(h) = -h + 1. Let i(s) = s - 1. Let v(l) = -4*b(l) - 5*i(l). Let r(a) = 2*v(a) + x(a). Let o(u) = -2*u**3 + 2*u + 3. Give o(c) + 4*r(c).\nAnswer: -2*c**3 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let t(h) = -h**2 + 6*h - 3. Let m be t(2). Suppose m*j = 3*k + 8, -5*j + 40 = -k + 6*k. Sort j, -3, 2 in decreasing order.\nAnswer: j, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(v) be the first derivative of -v**6\/9 - 2*v**5\/5 - v**4\/3 + 4*v**3\/9 + v**2 + 2*v\/3 - 14. Factor x(t).\nAnswer: -2*(t - 1)*(t + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of ((-18264)\/30)\/((-5)\/50)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 94*r + 80 = 92*r. What is the units digit of ((-605)\/(-4) + 3)\/((-10)\/r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*r - 2*t - 21 = 0, 5*r - 6 - 16 = -t. What is the remainder when (-5)\/100 - (-522)\/40 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 48950368?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} -{"text":"Question: Let m = 167 - 156. Calculate the remainder when 28 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-4 + 4 + 2*q)*(2 - 2 - 3) - 13*q + 5 - 5 + (-2 + 3 - 3)*(0*q - 2*q + q).\nAnswer: -17*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is y in 1\/5*y**3 + 71\/5*y - 21 - 3*y**2 = 0?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.671215 rounded to two dps?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let p(j) be the first derivative of -80*j**3\/3 + 152*j + 40. Differentiate p(w) wrt w.\nAnswer: -160*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*b + 42 = 7. Suppose 0 = 4*q - 5*k - 10, -1 = 4*q + 4*k + b. Solve q*d = 5*d - 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Work out 0.111 * -0.69.\nAnswer: -0.07659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (x**31)**0 assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 1394?\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let k(x) = -9*x - 6. Let l be k(-6). Let f = -109 - -121. Suppose 59*a = 58*a + f. Calculate the greatest common factor of l and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d(i) = -8*i. Let v be -4 + (0 + 2 + -3)\/(-1). Give d(v).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {n: 5, g: 10, u: 4}. Give prob of sequence nunu.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 481 and 148?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -3 + (5\/((-90)\/(-612)))\/1.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -3035\/9 - -337. What is the third biggest value in 3, -52, q?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y(s) = -2*s - 13. Let f be y(-10). Let p(x) = -x**3 - x**2 + 7. Let j be p(0). Let z = j - f. Solve -4*t = -20, -h = -z*t - t + 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (-8 - -11 - -19) + 9 + -18 + 5.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -11*n**2*t**3 + 818*n**2*t**2 - 17*n*t**3 - 9*n*t**2 + 4*n - 2*t**3 wrt n.\nAnswer: -22*t**3 + 1636*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let -5*w**2 + 588005*w = 0. Calculate w.\nAnswer: 0, 117601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*z + z = 6. Let k(c) = -2*c**2 + 3*c - 2. Let v be k(z). Let t(g) = g**3 + 4*g**2 - 3*g - 4. Let x be t(v). Solve a = -a - x for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x = 117 + -112. Which is the third biggest value? (a) 1 (b) 0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -24*q + 25*q = 4*r - 122508, 5*q + 91898 = 3*r. List the prime factors of r.\nAnswer: 2, 15313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 3*i**3 - 100*i**4 - 4*i**2 + 101*i**4 - 2*i**3 - i to the form w*i + j*i**4 + b*i**3 + f*i**2 + c and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence rlu when three letters picked without replacement from {h: 1, u: 1, r: 1, l: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 y, 1 t, and 1 l when three letters picked without replacement from tlymybylymymmllymm?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Which is the biggest value? (a) -0.57 (b) 0.2 (c) -11 (d) -1\/7 (e) -7201\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 5:55 AM and 3:19 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let q(z) be the third derivative of -z**7\/105 + 3*z**2. Factor q(f).\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 0.3 or -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Sort -3, 4, 5 in ascending order.\nAnswer: -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Solve -7*u = 33*g - 382, 47*u + 2*g = -44*u + 93*u + 28 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 15 = 5*l + 3*v, 13 = 4*l - 5*v + 38. Factor l*q + 0 + 2\/3*q**2.\nAnswer: 2*q**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 1121 - 372 - 378 - 14*m - 371.\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 4231 - 4232. Is r at most -73\/74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -5*p**2 - 4*p + p**2 + 5*p**2 + p**2 = 0 for p.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 6*v = 4*v + 4. Let z = 82 - v. Round z to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(p) = -685*p**2 - 40*p + 6. Let b(w) = -683*w**2 - 48*w + 7. Let x(c) = -5*b(c) + 6*l(c). Let j(q) = -4*q**2. Calculate j(x(k)).\nAnswer: -1932100*k**4 + 5560*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(152)*2)\/sqrt(8) - (sqrt(684) + -2))**2 + sqrt(114)\/sqrt(6)*-6 + (sqrt(19) - 1*(sqrt(19)*-3 + sqrt(19)) - sqrt(19))**2.\nAnswer: -22*sqrt(19) + 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Express (-1 - 2 + 1 + (4 - 5 + 0)*(2 + 2 - 3))*(-6*w**2 + 3*w**2 - 7*w**2) as m*w**2 + b + i*w and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let o be 1378\/10 - (-4)\/20. Let a = -964\/7 + o. Let y = -0.1 + 3.1. What is the nearest to a in y, 2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -1\/3? (a) -0.1 (b) 3.22 (c) -0.4 (d) -7.4 (e) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Factor -s**3\/7 - 45*s**2\/7 - 69*s + 529\/7.\nAnswer: -(s - 1)*(s + 23)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Does 9 divide 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let b(l) = 4*l**3 + 87*l**2 - 1328*l - 540. Calculate b(-32).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*m + 9127*y + 12 = 9128*y, -y + 5 = 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: 41201 (base 11) to base 13\nAnswer: 214b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 13207, 26415, 39623, 52831, 66039, 79247?\nAnswer: 92455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Put together -2590436969541 and 12.\nAnswer: -2590436969529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*k - h - h - 316 = 0, 0 = -3*k - 2*h + 332. Suppose k = 5*b - b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -0.432 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let c = -179 - -180. What is the nearest to c in -0.5, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-2*(-4 + (0 + sqrt(112) + 1 - (sqrt(112)*-3 + -4))*6))**2.\nAnswer: 19968*sqrt(7) + 260752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 2:23 AM and 3:40 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Is -4 at least -72.8799?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let h = -15 + 77. Let r = h - -53. Calculate the highest common divisor of r and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p be -6*4\/3 - -127. Let s be (-8)\/(-2) - 490\/p. Does 2\/15 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 10, what is -17 - -7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Simplify sqrt(432)\/sqrt(6) + 0.\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: (-1 - 4) + (20 - 17) + (9 - 8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 1538270973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*r - 4*b = 0, 2*r = 5*b - b - 16. What is the smallest value in -2, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in -24122, -96673, -217594, -386885, -604546?\nAnswer: -870577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 6*v = 2016 - 564. Let i(x) = 21*x**2 - 2*x - 6. Let n be i(-2). Let s = v - n. Is s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 14845445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((o**(-10)*o**(-7\/4))\/(o**(-1))**15)**(3\/10))**(-47) assuming o is positive.\nAnswer: o**(-1833\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Round 212.178036 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Put 2, -6, 145, -4 in decreasing order.\nAnswer: 145, 2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*p = -4*l + 184, p - 13*l - 38 = -15*l. Let f be (4 - 0 - -2) + -4. Suppose -4*i + 1074 = f*i. Calculate the remainder when i is divided by p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 0.4 + -0.2. Let r = 5 - 9.8. Let i = -5 - r. Sort -2, i, h in descending order.\nAnswer: h, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 10, what is -1250668 + 5?\nAnswer: -1250663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 2374961717?\nAnswer: 2374961717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -3273625 divided by 4.\nAnswer: -3273625\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 7927 - 7916. Sort 0, r, 2\/5, -1.\nAnswer: -1, 0, 2\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 833 in 3, -1\/4, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Express ((-4*v - v + 4*v)*(-3 - 8 + 4) + 3 - 3 - 3*v)*(v + v - 6*v)*(-2*v**2 + 0 + 0) as c*v + u + z*v**3 + k*v**2 + p*v**4 and give p.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the wth term of -751, -3127, -7099, -12679, -19879, -28711, -39187, -51319?\n\"Answer: -2*w**3 - 786*w**2 - 4*w + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Sort -5, 498, -13, -2, -54, -3 in decreasing order.\nAnswer: 498, -2, -3, -5, -13, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -1 - 3*n + 3*n**3 + 6*n + 4349*n**4 - 4339*n**4 to the form y*n**3 + u*n**2 + l + j*n + r*n**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Determine w so that 79*w**4 - 100*w**3 + 41*w - 9*w + 69*w**4 - 22*w**3 - 134*w**4 + 76*w**2 = 0.\nAnswer: -2\/7, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z = 7 - 5. Let p be (-7 + 3)*-1 - -13. Suppose 3*w = 2*t + 2, 8*t - 3*t - 2*w - p = 0. Solve -z*u + 3 = -t for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: 3293546 divided by 6\nAnswer: 1646773\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 8144 is divided by 8138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let g(z) = 35*z**2 - 2*z**3 + z + 3*z**3 - 38*z**2 + 7 + z. What is the units digit of g(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r(j) = -j**2 - 2 + 2 + j. Let f be (-2*1)\/(-6)*-3. Let g(b) = -11*b**2 - 11*b**2 + 49*b**2 - 11*b**2 - 15*b**2. Determine f*g(y) + 2*r(y).\nAnswer: -3*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let z(m) be the second derivative of -m**5\/5 + m**4\/3 - 10*m + 2. Let z(k) = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 3327 = 3325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 0 + (-13 - -8) + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 1769279.\nAnswer: 311, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 29\/8 and 819\/(-9)*(-2)\/(-44).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 897.88 - -11.12. Let w = -889.44 + y. Let p = w - 20. What is p rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert 57.96422 millennia to years.\nAnswer: 57964.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -210? (a) 0.0218 (b) 0.2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*q - 10 = -5. Suppose -3*t = 2*z + 7, -2*t - q = -2*z - 3. Let h = z + 24. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u be ((-60)\/(-8) - -4)*-2. Let z be (22 + u)\/((-2)\/56). Let k = -6 - -90. Calculate the greatest common divisor of z and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the nth term of -90, -141, -180, -201, -198, -165, -96, 15?\n\"Answer: n**3 - 58*n - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let s(p) = p**2. Let y(t) = 5*t - 27. Let v be y(6). Suppose 3*o + 2*d + 1 - 10 = 0, 4*o - 2*d = 12. Let w(f) = v*f - 2*f + o*f. Calculate w(s(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 19013 + -3727. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q be (-5971)\/(-21) - ((-4)\/3)\/2. Suppose 3*d - 2*t = -d + 214, 5*d = -t + q. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Factor m**3\/2 - 4339*m**2 + 9409120*m + 18835600.\nAnswer: (m - 4340)**2*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: How many seconds are there in 2\/45 of a day?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is -4a119 (base 11) in base 6?\nAnswer: -1313223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of (56\/924)\/(8\/(-18)) and (-6)\/(-4)*41\/12?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Multiply -5 and 251.\nAnswer: -1255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -123\/12680 and -43\/31700?\nAnswer: 63400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let m be 3\/(-4) + 200\/352. Let n = 0 + m. Do 0 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -46 divided by 318.\nAnswer: -23\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Solve -22*u = -23*u + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let y(r) = 7*r - r - 2*r - 3*r. Let z(c) = -6*c**2. Give y(z(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.0053998339 rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Sort 9, -3, 17, 25, -4, 1 in increasing order.\nAnswer: -4, -3, 1, 9, 17, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 r and 2 z when three letters picked without replacement from zrrrrzrrrrzrzrrzzr?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((n\/(n\/(n\/(n\/(n**0*n))))*n*n)**(-22))**(-6\/17) assuming n is positive.\nAnswer: n**(396\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*h - 6 = 4. Suppose -1 = d + 5*n, h*d + 2*n + 3*n - 35 = 0. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r be (-2)\/(((-1)\/2)\/1). Suppose c + r*c = 15. Suppose -8*v + 3*v - 3*i + 58 = 0, -4*i + 26 = c*v. What is the remainder when v is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 256200 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Find the first derivative of 710*c**4 - 4*c**3*s**2 - 3*c**2 + 2503*s**2 + 6*s wrt c.\nAnswer: 2840*c**3 - 12*c**2*s**2 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Is -243146 < -243149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Is 23611401413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let p = 2 + -4. Let h = -3.44 + 6.47. Let z = 0.03 - h. Sort z, -0.3, p in decreasing order.\nAnswer: -0.3, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z(x) = -x**3 - x**2 - x - 1. Let v(i) = 106*i**3 + 2*i**2 - 4*i - 1. Let a(w) = -19*w**3 + w + 1. Let k(j) = 6*a(j) + v(j). Determine k(n) + 2*z(n).\nAnswer: -10*n**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 142 + -125. Suppose -7*p + h*p = 1500. Calculate the remainder when p is divided by 40.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 64 and 808448?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten millions digit of 174461596?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 1*sqrt(11)*-2 - 4*sqrt(66)\/sqrt(6).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Solve -5*m - 11 = 4*x, 0 = 5163*x - 5166*x + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -2\/23? (a) 0.1 (b) -0.05 (c) 2 (d) 0.0222 (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of -263920086*p**3*z - 2479*p**2*z - 20*p*z + 495*p wrt p.\nAnswer: -1583520516*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let n(t) be the third derivative of t**5\/420 - t**4\/28 - 8*t**3\/21 - 3*t**2 + 15*t - 16. Factor n(z).\nAnswer: (z - 8)*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 855035101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the fth term of -8, 8, 32, 64, 104, 152?\n\"Answer: 4*f**2 + 4*f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((v**(-1)\/v)\/v)**(16\/3)*v*v\/(v*v*v**(2\/5)*v*v)*v**(3\/4) assuming v is positive.\nAnswer: v**(-353\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 1928463 is divided by 219?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Is 462 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let p(b) = 7*b - 61. Let l be p(18). Suppose 6*y - 101 + l = 0. Solve -y*k = -4*k - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of 0.0658 and 0.01504?\nAnswer: 0.000989632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let t(d) = -3*d**2 + 6*d + 6. Let p(v) = -3*v**2 + 5*v + 5. Let f = 16 - 19. Let x = f + -2. Calculate x*t(h) + 6*p(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 8348*j - 6*j**3 - 8348*j - 172.\nAnswer: -6*j**3 - 172","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: 0.3 - -37925649.71\nAnswer: 37925650.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} -{"text":"Question: Let v = 11 + -6. Let z = 0 - v. Let l(o) = o + 10. Let n be l(z). Solve y + n = -0*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 862 divided by -2.\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 897 and 3335667.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let y = -0.51 - -0.61. Let q = -2.5 + 0. Let d = q - -3. What is the biggest value in d, y, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -26*n**3*y + 290*n**2*y - 55*y + 58 with respect to n.\nAnswer: -78*n**2*y + 580*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -44 + 43.7. Let r be (-5 - -6)\/((-5)\/(-25)) + -7. What is the third smallest value in 0.5, x, 5, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 143149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 605 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 26522 is divided by 50.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let q(m) = -71*m - 2. Let y(d) = -70*d - 2. What is -7*q(n) + 6*y(n)?\nAnswer: 77*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let k(f) = 54*f**2 - 446*f + 33. What is k(8)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 281 = 5*c - 629. Let n be (4\/10 - 0) + 13\/5. Suppose 2*y - 77 = -n. What is the remainder when c is divided by y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 6 + -6 + (-5 - (-1 + 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 2*c**3*t**3 + 8*c**3 + 41642*c**2*t**3 + 3*t**3 + 3799*t**2 wrt t?\nAnswer: 12*c**3 + 249852*c**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-4*o - o**5 + 4*o)*(-4 + 21 - 10) + (1 + 6 - 5)*(-o**5 - o**5 - 2*o**5).\nAnswer: -15*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Is 65136259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Solve -67 + 15 = -87*m + 82*m - 4*c, -2*m - 3*c = -32 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let d = -1533 - -1532. Let h = -192 - -387\/2. What is the third smallest value in h, d, 3, 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 55 + -59 + (0 - -4) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let p(t) = -12*t**2 + t + 1. Suppose 0 = -5*v + b, -b - 4*b = -2*v + 23. Determine p(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from {z: 9, s: 4}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} -{"text":"Question: Simplify (6*3*sqrt(30) - -2*sqrt(3630))\/((sqrt(72) - -3*sqrt(72))\/sqrt(12) + sqrt(150)*-3 + sqrt(150)).\nAnswer: -20*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {u: 1, w: 1, v: 2, f: 2, n: 1}. Give prob of picking 1 n and 1 f.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let o(p) = 14*p + 48. Let y = -3509 - -3506. Let g(z) = 5*z + 16. What is y*o(b) + 8*g(b)?\nAnswer: -2*b - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Is 1624943107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 8 - -1. Let b = w - 9.3. Sort -1, 3, b in increasing order.\nAnswer: -1, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express 4*x - x - 5*x + (-4 + 0 + 5)*(-3*x - 2*x + 2*x) + (-51 - 2*x + 59 - x)*(10 + 5 - 2) in the form m*x + b and give b.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is 41\/2 of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 9570853.\nAnswer: 9570853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is 8\/3*(-7)\/(28\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the billions digit of 1416865273?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Simplify 4*sqrt(13) + 0 + (sqrt(52) + -3)**2 - ((-1*sqrt(104) - sqrt(104))\/sqrt(8) + -4 + sqrt(52)).\nAnswer: -8*sqrt(13) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((y\/(y*(y\/((y**13\/y*y)\/y)*y)\/y*y*y)*y)\/y**(-2\/5))\/((y*(y**(-2\/9)*y*y*y)\/y*y)\/y**31) assuming y is positive.\nAnswer: y**(1693\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 542 = -15*g + 572. Let p(b) = 2*b - 9. Let d be p(6). Solve 2*q = 5*q + d, -g*x = 2*q + 12 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 159373 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let x be 36\/(-8)*12\/(-9). Let k(m) = m**2 - 4*m + 6. Let z be k(x). Let l = 206 - 80. Calculate the greatest common factor of z and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: 12 times -1.1\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Solve -146*r - 809 = 111 - 44 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let v be (-178)\/182 + 4\/14. Suppose 5*z - 2*u = 6, 4 = z + 4*u + 38. Is z equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 748 and 503602.\nAnswer: 17122468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Suppose v = -16*v + 80 + 39. Solve 13 = 4*r + t, -v = 5*t - 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from aolaeiieilaalolaal?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Expand (0 + 1 + 1)*(10*d**4 + 30808 - 30584 + 12*d**4 + (-2*d**2 + d**2 + 3*d**2)*(-2*d**2 + 3*d**2 - 2*d**2)).\nAnswer: 40*d**4 + 448","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-1646*j - 1715*j + 3513*j)*(0 - 1 - 2)*(3 - 3 - 3*j + (-4 + 3 + 0)*(-2*j + 4*j + 0*j)).\nAnswer: 2280*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 26904.8*0.2.\nAnswer: 5380.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*o - 3*n = 132 - 104, 5*n + 32 = 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -349599, -699185, -1048771, -1398357, -1747943, -2097529?\nAnswer: -2447115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Expand 3 - 3 - 2*j**3 + (0*j + 0*j - 3*j)*(j**2 - 6*j**2 + 3*j**2).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let q be 37\/1 - (-5 + 2). Suppose 8 + q = 4*r. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: ((30\/(-4))\/(-3))\/(58\/(-29))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Is 184309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Is 1981462 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 6*w**5 - 2008*w**4\/3 + 6790*w**3\/3 + 13136*w**2\/3 + 1440*w = 0. Calculate w.\nAnswer: -1, -4\/9, 0, 5, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Let x(z) = 2*z + 37. Let m be x(-17). Solve -m = 2*d + d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(v) = 31*v + 10. Let l(b) be the third derivative of b**4\/4 + b**3\/3 + 366*b**2. What is 11*l(u) - 2*m(u)?\nAnswer: 4*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Let i(c) = 22*c + 55. Let l be i(-5). Let k = -383\/7 - l. Is k equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} -{"text":"Question: Solve -9712 - 13021 = 98*o - 28663 + 10340 for o.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is 11 + -100001110110?\nAnswer: -100001110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Is 715 smaller than 718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let a(x) be the second derivative of x**5\/10 + 125*x**4\/12 + 779*x**3\/6 - 1862*x. Find the second derivative of a(v) wrt v.\nAnswer: 12*v + 250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (120\/8)\/(-5)*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -9*v + 11*v - 148 = 0. Calculate the lowest common multiple of 2 and v.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of 633 and 4.\nAnswer: 2532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from qjjddhhyddjhydyyyq. Give prob of picking 1 q and 2 d.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*j - 125 = -4*d, -d + 33 = 3*j - 0*j. Suppose 4*m = 5*t - 78, -13*m + 2 = 3*t - 9*m. What is the least common multiple of t and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common divisor of 9 and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Solve 279*l - 33095 - 5897 = -1191*l + 15398 for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let i be (-8)\/4*(-3)\/(-6). Let x(k) = -k**2 + 6*k - 5. Let p(f) = f**2 - 1. Let o(a) = i*x(a) + p(a). Let l be o(4). Solve t = 4*t - l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 166.7 + -167.7. Which is the closest to 1? (a) r (b) 141 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is a28d3f (base 16) in base 9?\nAnswer: 22036136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-4)\/(90\/99180*29).\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let g(u) = 1967*u - 2089. Is g(108) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 2441 - (-3 + (0 - 2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*m - 2009 = 5*v, m - 3*v - 1004 = -v. Suppose -3*n + 5*u = -m, -6 - 3 = 3*u. Suppose -5*b = -n - 221. Is 22 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -1796*m**3 - 1 + 104*m + 0*m**2 - 102*m + 0*m**2.\nAnswer: -1796*m**3 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Expand -5*q**5 + 0*q**5 + 2*q**5 + (4 - q**3 - 4)*(549*q**2 + 568*q**2 - 1147*q**2).\nAnswer: 27*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 71 is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 6 = 2*o - 8. Let d = 15 - o. Suppose -2*g - 102 = 4*q - 9*q, 0 = -4*q - 2*g + 78. What is the lowest common multiple of d and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Determine y, given that 8*y**3 - 26*y**2 + 20*y = 0.\nAnswer: 0, 5\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 10098868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: How many months are there in two fifteenths of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the lowest common multiple of 123279 and 3663309.\nAnswer: 399300681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from nhanauaay. What is prob of sequence yha?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is (-6)\/16*104\/455*-5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let g(l) = -l**2 - 12*l + 32. Let p be g(-14). Solve 12 = -0*r + p*r + 5*b, 2*r + 8 = b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose x - 4*s = -29, 4*x + 4*s + 28 + 68 = 0. Let t = 25 - 50. Let u = t - x. Sort u, 3, -2 in descending order.\nAnswer: 3, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 43 divide 473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -27 = -5*g - 2*j + 21, 0 = -3*g - 3*j + 27. Suppose g = -2*u + 7*u. Suppose u*s - 2 = 28. Calculate the remainder when 69 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 43*r + 51*r - 13*r = 0. Is 1305 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 7 (base 14) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let c = 0 + 20. Let n be c\/((-2)\/(-1)) + 0. Let h be -4*(-2)\/n*10. Calculate the highest common divisor of h and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 60586798 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*d + 23 = 3. Suppose -l = -3*z - 13, -d*z - 9 = -l + 6. Suppose l*x - 75 = 85. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 19511334.\nAnswer: 2, 3, 361321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Multiply -17812 and 3.76.\nAnswer: -66973.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((c**12)**(-30)*((c**(-1\/2)\/c)\/c)\/c**(1\/19))**(-19) assuming c is positive.\nAnswer: c**(13777\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 9*f = 373 - 13. What is the smallest common multiple of f and 9?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*v = o + 56, o = 3*v - 2*o - 24. Suppose t = -r - r - 1, 6 = 3*r + 4*t. Let j = v - r. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand 0*k**3 + 4*k**3 - 3*k**3 + (3*k**2 - 4*k**2 - 4*k**2)*((-3 + 4 + 1)*(-6*k + 4*k + 3*k) - k - k + 4*k - 4 + k + 4).\nAnswer: -24*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence ftkf when four letters picked without replacement from {f: 5, k: 1, t: 4}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let p be 20\/6 - (-11)\/(-33). What is the common denominator of (-3)\/p + (-56)\/(-5) and -5 + (-147)\/6 + 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((t*t**(-1\/2)\/t)\/t*t*t**(-1)*t)\/(t**(-1))**(2\/55))\/((t**(-4)*t**2)\/(t*t\/(t\/t**(1\/4)))**(-43)) assuming t is positive.\nAnswer: t**(-11487\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let c be 8\/6*24\/192. Let s(z) be the first derivative of 0*z**5 + 0*z**2 + 0*z + 0*z**4 - c*z**6 - 2 + 5\/3*z**3. What is the third derivative of s(o) wrt o?\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -22*q + 400245 = -1779955. Round q to the nearest one thousand.\nAnswer: 99000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round -0.00026535 to 6 decimal places.\nAnswer: -0.000265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Is 917896879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let t(f) = -4*f + 8. Suppose 0 = -3*h - 9, h + 2*h - 3 = 2*d. Let w be t(d). Solve -3*m + 24 = m - 3*n, -4*m + w = -5*n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Subtract -0.5 from 9603.96.\nAnswer: 9604.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 5:35 PM and 8:27 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let g(w) = 13*w**3 - w. Let y be g(1). Suppose -2*f + 4*f - y = 0. Find the second derivative of -3 - b**3 - b + 3 - f*b wrt b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k be (26\/(-6))\/((-5)\/(-120)). Let g = k - -940\/9. Factor -2\/9 - 2\/9*n + g*n**2.\nAnswer: 2*(n - 1)*(2*n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -20\/3 and 4*(-405)\/(-80) + (4 - 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o be 453\/(-18) + (-42)\/(-252). Which is bigger: -31 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -218711 = -40*h + 3129. List the prime factors of h.\nAnswer: 2, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (1 + 2*j - 1)*(239 - 8778*j - 477 + 238 + 38743*j) to the form w*j**2 + q + f*j and give w.\nAnswer: 59930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let i = -1167.18 - -1167. Sort i, -0.5, -2, -5 in increasing order.\nAnswer: -5, -2, -0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*g = g + 15. Let d(x) = 7*x**2 - 6*x + 3. Let n be d(1). Sort 3, n, g in descending order.\nAnswer: g, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (3*g - 1 + 1)*(-6*g**2 - 10*g + 10*g) + (-4*g**2 + 0*g**2 - g**2)*(-4*g - g + 3*g).\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let x = -401 - -60. Let s = x + 387. Is 46 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose g = 8*g - 28. What is the smallest value in -2\/7, 0.2, g, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b be -1 + 363\/(-21) + 2\/7. Is b\/99 - (-1 - (-365)\/(-11)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-23 - 87 + 53)*(12*h - 15*h + 7*h).\nAnswer: -228*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let h(y) = y**3 - 7*y**2 - 31*y + 10. Let p be h(10). Solve p = -9*g + 10*g - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (-2)\/((-54)\/(-6) + -5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: In base 6, what is -512240041 + 43?\nAnswer: -512235554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the first derivative of -2*b**4 - 8*b**2 - 18609*b - 367771 wrt b?\nAnswer: -8*b**3 - 16*b - 18609","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let c = -290489 - -656089. Round c to the nearest ten thousand.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o = 1.5 - 6.3. Let p = o + -1.2. Let i = p - -6. Which is smaller: 4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: -120022012 (base 4) to base 5\nAnswer: -11131300","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} -{"text":"Question: What is 126482 (base 9) in base 5?\nAnswer: 4430233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -3 + sqrt(17) + (-2*sqrt(17)*-3)**2 + 0.\nAnswer: sqrt(17) + 609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 65950, 131886, 197796, 263668, 329490?\nAnswer: 395250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Express -4*v**4 - 28*v**3 + 29*v**3 - 5 - 34*v**2 - v**4 + 3 in the form c*v**2 + l*v + a*v**4 + w + u*v**3 and give c.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: -0.1 or 53\/91?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 155 + -151. Find the second derivative of 10*w**k + 4*w**5 - 4*w**2 + 4*w**2 - 131*w + 0*w**2 - 24*w wrt w.\nAnswer: 80*w**3 + 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {b: 2, i: 4, k: 3, m: 9}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 249 + -1236. Let k be l\/(-18) - (-2)\/12. What is the greatest common divisor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 7c3f (base 16) in base 4?\nAnswer: 13300333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: -200 divided by 50\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Factor -4*p**2 - 28*p + 32.\nAnswer: -4*(p - 1)*(p + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Solve 24*w = -6*w - 44*w - 5*w - 79 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let t = 174 - 166.3. Round t to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {k: 7, e: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from oeegoeeeueeeeeeeug. Give prob of sequence og.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let t(l) be the second derivative of -1891*l**4\/12 + l**3\/3 + 2*l + 1831. Let q(x) = -x. Determine q(t(g)).\nAnswer: 1891*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the mth term of -174, -355, -548, -759, -994, -1259, -1560, -1903?\n\"Answer: -m**3 - 174*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -2 + 2 - 386942*t**2 + 386923*t**2.\nAnswer: -19*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 4963 is divided by 191?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -103\/3594 and -65\/1288694?\nAnswer: 2315783118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 4, g: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 19 = 2*n - f, 5*f - 15 = 3*n - 26. Solve -x = -7*x + n for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Convert -96611 (base 10) to base 4.\nAnswer: -113211203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let s(b) = -2*b**2 + 31*b + 42. What is s(17)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: -146 or -107?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*b + 2*h = -42, 3*b + 4*h + 12 + 27 = 0. Let y = -5 - b. Suppose 2*o + 8 = y*o. Solve -3*a - o = 5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange (-2 + 3 + 0)*(b**2 - b**2 - 2*b**2)*(901*b - 232*b + 956*b)*(-7*b + 3*b + b) to the form x*b**2 + l + i*b + q*b**4 + s*b**3 and give q.\nAnswer: 9750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -0.3? (a) 0 (b) -1\/10 (c) 7830 (d) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} -{"text":"Question: (-93)\/(-31)*25\/(-135)*-3\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 54.394 + -0.394. Let i = l + -53.9. Which is smaller: i or 4\/19?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 5924318 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*s + 17 = 3. Let k(h) = -h**3 + 7*h**2 + h - 2. What are the prime factors of k(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -36 - ((48 - 84) + 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the dth term of 622918, 1245795, 1868602, 2491303, 3113862, 3736243, 4358410, 4980327?\n\"Answer: -6*d**3 + d**2 + 622916*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 39 - -40. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*s + 2*f = -17, -3*s = -8*s + 3*f - 37 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let j be (1\/(-14))\/1*-6. Sort -4, j, -5\/2.\nAnswer: -4, -5\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b be -1 + (-1)\/(1\/(-61)). Suppose -3*s + b = -10*z + 5*z, 0 = -4*s + 5*z + 85. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put -0.4, 1, -2\/11, -1\/5, 3\/5 in increasing order.\nAnswer: -0.4, -1\/5, -2\/11, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest common multiple of 124460 and 1820?\nAnswer: 1617980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the ith term of -35, -46, -57, -68, -79, -90?\n\"Answer: -11*i - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Let w(a) be the second derivative of -3\/5*a**3 + 0*a**2 - 9 - 2*a - 1\/50*a**5 - 1\/3*a**4. Determine b, given that w(b) = 0.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v = -91 - -100. Let b(f) = -905*f + 15. Let k be b(v). Round k to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 11389987 to the power of 1\/2, to the nearest integer?\nAnswer: 3375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let x be ((-24)\/60)\/(7\/(-5)). Find v, given that 0 + 0*v + x*v**3 + 2\/7*v**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: 469, 930, 1391, 1852?\nAnswer: 2313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let r(u) = u**3 - 18*u**2 - 19*u - 30. Let p be r(15). Round p to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (a**6)**(1\/62) assuming a is positive.\nAnswer: a**(3\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Is 54369643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let h(u) = -u**2 - 2*u + 20. Let m be h(-6). Let f be (-7)\/(-10)*m + 3. Let i = -362\/9 + 40. Sort f, i, 3 in descending order.\nAnswer: 3, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let o be (-20)\/(-15)*(12 - 0). Let h = o + 98. Does 25 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (r*r**(2\/11))\/(r*r**(-4))*((r\/(r\/r**(-1\/3))*r)\/r)\/(r*r**(3\/7)*r) assuming r is positive.\nAnswer: r**(328\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-311)\/(-933)*0\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common divisor of 68 and 26044?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: In base 12, what is 226 + -3?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*h + 0*h + 4*h = 0. Let p be 6\/(-6) + (h - 5). Let y(t) = t + 2. Let a be y(-3). Put a, -2, p in descending order.\nAnswer: a, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b be (-7)\/((-35)\/(-2))*-10. Let q be 12\/5 - b\/10. Let s = q - -63. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 35\/96 and 9\/6 - 222\/27 - -1.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k(q) = -13*q**3 - 11*q**2 - 46*q + 4. Calculate the smallest common multiple of k(-6) and 10.\nAnswer: 13460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Sort -8, 15\/14, 0.5, -2 in descending order.\nAnswer: 15\/14, 0.5, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 30 - 30. Let a be ((-510)\/510)\/(1\/(-14)). Solve -3*i - 11 - 4 = f, -a = 3*c + 4*i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 7*x - 6*x = 5*y + 1, -21 = 4*x + 5*y for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -5*(sqrt(432) + 3 + -3).\nAnswer: -60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -14*j + 9*j = -60. Suppose 4*a = -0*a + j. Suppose -a*r - 27 = -6*r. Calculate the least common multiple of r and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(52)*2 - sqrt(13)) + (-1*sqrt(13))**2*3 + (sqrt(325) - (sqrt(325) - (sqrt(325) + 0))*6 - ((sqrt(325) + 0 - sqrt(325))**2 + -2)).\nAnswer: 8*sqrt(13) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Does 43 divide 250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let t(g) = 41707*g**2 + 2*g - 2. Let j be t(5). Suppose j = 3*h + 134928. Suppose -y + h = 2585. What is y rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 4365705649.\nAnswer: 59, 3391, 21821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 29252 - 58503\/2. Which is the biggest value? (a) -78\/11 (b) u (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let x(j) = -j**2 - 19*j + 2. What is x(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let w(n) = 2*n**2 - 7*n + 1 + 0*n**3 - n**3 - n**2 + 7*n**2. Let g be -4*(0\/4 - (-7)\/(-4)). Give w(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let t(d) = d**2 + 2 - 2. Let l(g) = 4*g**2. Let c(a) = 3*a**2. Let r(y) = 5*c(y) - 4*l(y). Calculate t(r(k)).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 63405 and 28395?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let w(z) = 2*z**2. Let v(x) = -4 - 6*x**2 - 4*x + 3*x + x**3 - 2*x**3. Let r be v(-6). Let l(f) = -2 + 2 - r*f. What is w(l(p))?\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let m be 10\/55 + 4\/(-22). Suppose m = 7*l - 10*l + 33. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -m + 5*v + 23 = 0, -13*v = -15*v - 8. Solve 45*b - m = 44*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Product of 2888.6 and -58.\nAnswer: -167538.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let y(u) = 13*u. Let f(t) be the second derivative of -t**3\/3 + 10*t. Determine y(f(m)).\nAnswer: -26*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Solve -26*v = -2*u + 38*v - 1354, u = v + 6*v - 152 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Put -3, -112\/155, 1 in ascending order.\nAnswer: -3, -112\/155, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (18\/(-72))\/(1*(0 + 1)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Which is smaller: 257 or 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let p be 1\/2 + 14\/4. Suppose d + 3*d + 8 = 2*j, -2*d = -3*j + 12. Suppose -4 = -d*a - p*a. Is a at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-191)\/((-50424)\/(-176)) + (-20)\/(-21)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -5*(((3*sqrt(1100) + sqrt(1100))*2 - sqrt(1100)) + -5*(sqrt(1100) + 3))**2*5*4*5.\nAnswer: -2312500 + 300000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let q be ((-1)\/3 - 0)*9. Let g = 7 - 10. Does q = g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-n - 3*n + n + (0 + 0 - 1)*(-n + 3*n - 3*n) - 3*n + 3*n + n + 0*n + 0*n - 3*n + 2 - 2 - 2*n)*(-2 - n**2 + 3*n**2 + 0).\nAnswer: -12*n**3 + 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let l = 948 + -792. Which is greater: 159 or l?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of -u*x**4 - 32*u*x**2 - 18*u*x + 2171*u - 397885166*x**4 - 14 wrt x.\nAnswer: -24*u*x - 9549243984*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0*m - u - 2 = m, -3*u - 12 = -3*m. Let v be -8 - (-3 + 1\/m). Is v\/(-5 - -3) - -34 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {a: 1, h: 14, b: 5}. What is prob of picking 3 b and 1 h?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 3 q and 1 s when four letters picked without replacement from pqssphpssq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 50 and 2011850?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let v = 393 - 374. What is the least common multiple of 21 and v?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 92877879?\nAnswer: 3, 67, 462079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: -3.22241 or -2.03?\nAnswer: -2.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Factor 4*k**2 - 185448*k + 2149435044.\nAnswer: 4*(k - 23181)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is -82 + 105 - (13 - 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -34*v + 5 - 4 - 247*v.\nAnswer: -281*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Factor 1\/4*n**2 - 99 - 49*n.\nAnswer: (n - 198)*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -19, -24, -31, -40, -51?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is -a5a (base 15) in base 4?\nAnswer: -210133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the lowest common multiple of 545346 and 72.\nAnswer: 2181384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Subtract 0.1 from -17197362537.\nAnswer: -17197362537.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Are -1\/1294 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Sort 0.00871, -8, -471 in decreasing order.\nAnswer: 0.00871, -8, -471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -7326 - 4290*l + 7663 + 1360*l with respect to l.\nAnswer: -2930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put 7, -4, -1, 3556805, -5 in decreasing order.\nAnswer: 3556805, 7, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 459 and 512703?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let x(a) be the first derivative of 8*a**3\/3 + 7. Let k(s) = 6*s**2. Give x(k(h)).\nAnswer: 288*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Is 736\/6 + -2 - 10\/15 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 23781\/15 + 304\/40 + -8?\nAnswer: 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 214 divided by 107.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Put -3\/7, 3, -0.1, -1, 2\/5509 in decreasing order.\nAnswer: 3, 2\/5509, -0.1, -3\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*w = -0*w - 8. Let q be (-1)\/(3\/w*(-2)\/(-27)). Let d(y) = -y**3 - y**2 + 9*y - 4. Is d(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the fourth smallest value in 3, -1\/2, -60, -7.76?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -y + 5*q - 10, -4*y = -y + 4*q - 46. Let t(c) = c**3 - 6*c**2 - 23*c - 24. What are the prime factors of t(y)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: 49 (base 16) to base 13\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let b(f) = -3*f + 10. Let v(z) = 6*z - 21. Let y(g) = -5*b(g) - 2*v(g). Let d be 6 - (1 - 1)\/3. Calculate y(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 5351\/9 in -0.5, -4, -25, -2\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 j and 2 b when three letters picked without replacement from bbjajaabbjjbj.\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let v(y) be the third derivative of -y**6\/180 - y**5\/60 - y**4\/24 + y**2. Let o(k) be the second derivative of v(k). Give o(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest common multiple of 807 and 18480?\nAnswer: 4971120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let q = -176 - -178. Solve -4 = -3*i - q*o, o - 3 = -4*i - 4*o for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate ((-26)\/(-6))\/(((-16)\/96)\/((-6)\/12)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let z be (2 - (-4)\/(-3)) + 230\/(-3). Sort -2, -3, z.\nAnswer: z, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 407377757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 2 u and 2 r when four letters picked without replacement from {r: 2, u: 2, l: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Solve q - 6 = x - 0, x = -5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 417 - -386. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z be 126\/27*3 + -8. Let t be ((-10)\/30)\/((-8)\/z). Which is the closest to 1? (a) t (b) -0.06 (c) 0.3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 8517 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*q = 3*l - 15, -11 = -4*l - 5*q + 44. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(q) = -q**3 - 2*q**2 + q - 4. What is the least common multiple of 27\/18*(-8)\/12*-13 and s(-3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z = -5491 + 5500. Solve 0 = 5*c - 5*v - 15, z*v + 15 = 6*v for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(i) = 5*i**2 - i + 1. Let f be m(1). Suppose -2*j + 5 = -5*x - 109, 5*x - 215 = -f*j. Let c = j + -11. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 197 is divided by 84?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: -4*-11.231\nAnswer: 44.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -8 - -25 - 32 - (1 - (132 + 0 - -1)).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Round -1204.32 to the nearest 10.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Is -6 > 726.55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -18*t + 21*t = 162. Suppose 0 = 3*i - 3*v - v - 44, 5*i = -3*v + t. What is the remainder when i is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -20*v = -25 - 35. Let w be 6 + 4*(-4)\/8. Suppose 3*d = w*r - 273, -57 = v*r - 4*r + 3*d. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 31*k + 3980 - 3577 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 458, 1879, 4262, 7619, 11962, 17303, 23654, 31027?\nAnswer: 39434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: What is the third smallest value in 2\/7, 0.01949, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let i(b) = b**2 - 16*b + 23. Let y be i(15). Calculate the remainder when (-24)\/9*(570\/y)\/(-5) is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the cube root of 2968 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let h(b) = 6*b**2 + 2*b. Let g(k) = -5*k**2 - 3*k. Determine -2*g(f) - 3*h(f).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -9738*v**3 + 18831*v**3 - 9250*v**3.\nAnswer: -157*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let r(j) = -j**3 - 4*j**2 + 2*j + 1. Let f be r(-5). Let h(v) = 2*v - 17. Does 6 divide h(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 23036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-44)\/(-99)*(-9)\/(-2)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let j(h) = -h**2 + 2*h - 3. Let l(z) = -z**2 + z - 1. Let y(a) = -5*a - 21. Suppose -43*p - 4 = -42*p. Let n be y(p). What is n*j(m) + 2*l(m)?\nAnswer: -m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Is 42978\/7187 equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 42*c + 372 - 4278. Suppose c = 4*d + 5*z, 11*d - 4*z - 62 = 8*d. Calculate the lowest common multiple of 584 and d.\nAnswer: 6424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 11 a factor of 854318384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 5852 is divided by 122?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let j(t) be the first derivative of -27*t**5\/20 + 7*t**4\/3 + 16*t + 23. Let s(p) be the first derivative of j(p). Find the third derivative of s(g) wrt g.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 7301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let h be 3 + -7 + (0 - -9). Let m be h + (6 - (0 - -3)). What is the first derivative of 4*g + 0 + 1 + m*g - g wrt g?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 10.5 + -24495?\nAnswer: -24484.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Sort -4, -37, 5, -1, 8 in descending order.\nAnswer: 8, 5, -1, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Is 187088107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is 5 - 1 - (3 - (5 - 6)) - -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 3749993 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let m(c) = 2794*c**2 - 52*c + 31. What is the remainder when m(3) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 131916960 to the power of 1\/3, to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is 773.9253 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let j = -136 - -138. Solve 2*z + 3*r - j = -2*r, -r = z - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the lowest common multiple of 330 and 6076994?\nAnswer: 91154910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Is 430303538 a multiple of 284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 4 - 6. Let j = 4.55 + 0.45. What is the biggest value in j, -3, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is next in 309, -329, -1019, -1791, -2675?\nAnswer: -3701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Add -0.16 and -33.42.\nAnswer: -33.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*l = 5*d - 45, 2 = -2*l + 8. Suppose -8*p = -7*p - d. Suppose p*h = 9*h + 270. Round h to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((-1)\/(-3) + -1)\/(6\/27).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(h) = -2*h**3 + 3*h**2 - 2. Let u be i(2). Let o(v) = -v**2 - 8*v - 8. Let k be o(u). Suppose 11*r = 39 + 93. Solve -k*s + r = -0*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = 7*l - 32 + 25 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let v be 3\/((-4)\/(6 - -6)). Let o(l) = -l**3 - 8*l**2 + 9*l + 7. Give o(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put together 0.119 and -0.1103161.\nAnswer: 0.0086839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: What is 0 divided by 16663231?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Is 102781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 741, 1518, 2293, 3066, 3837, 4606?\nAnswer: 5373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let s(y) = -35*y**2 - 2. Let z(r) = -3*r - 2. Let u(b) = -16*b - 10. Let d(t) = -2*u(t) + 10*z(t). Determine d(s(v)).\nAnswer: -70*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*o - 5*o = 4. Is 51 - 8*1\/o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p(o) = -2*o**2 + 807*o - 6562. Calculate p(8).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-4 + (-2 + sqrt(252) - sqrt(252)))**2 - 5*sqrt(77)\/(-1*sqrt(11)).\nAnswer: 5*sqrt(7) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the zth term of -187, -760, -1737, -3136, -4975, -7272, -10045, -13312?\n\"Answer: -3*z**3 - 184*z**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 5:32 PM and 8:47 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*r + 2*n - 26 + 142 = 0, -4*r + 101 = 5*n. Solve 3*a = 3*x + 9, r*x - 33*x = -4*a + 22 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m = -27\/8 + 275\/72. Which is the third smallest value? (a) -0.21 (b) 2\/15 (c) m (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is (-4)\/14*(-6)\/(-4)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of 95\/14 and 51\/802?\nAnswer: 5614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let b(p) = -148*p + 2392. Calculate b(13).\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 827228007?\nAnswer: 3, 17, 5406719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Solve 0 = -2397*g - 9101 + 8012 + 25059 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Solve -12 = z - 3*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let y(v) = -4*v - v + 7*v + 0*v. Let u(s) = s. Let p be u(2). Let g(j) = -p*j - j + 5*j. Give g(y(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-3*(sqrt(133) + sqrt(133)*1))\/(sqrt(14)\/sqrt(2)*-3 + sqrt(7)).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: 96 - (-286587)\/(-3024) - (-3)\/((-12)\/5)\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -x + 1 - 0. Let d be 645\/1890 - 160\/(-360). Do x and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common factor of 2573692 and 176.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let g(f) = 2*f**3 - f**2 + 2*f - 1. Let l be g(1). Suppose 0 = l*c - 4*c + 14. What is the remainder when c is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((x\/x**7)\/(x**(-1)\/x)*x**(-6)*x**8)**(7\/2) assuming x is positive.\nAnswer: x**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*w + 30 = r, -r + 9*w - 4*w = -38. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -0*d + 5*d - 25. Suppose 5 = 13*i - 12*i. Suppose 0 = -i*z - 262 + 357. Calculate the remainder when z is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(t) = -4*t**2 - t. Let a(s) = -538*s - 8. Give a(b(w)).\nAnswer: 2152*w**2 + 538*w - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -d + 2*d - 4*q = 15, -4*d - 3*q = -60. Suppose 4*f = f + d. Let a(m) = -m**3 + 6*m**2 - 3*m - 5. Let z be a(f). Sort -1, z, 2.\nAnswer: -1, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 6 = 101*y - 107*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: -111111110100 (base 2) to base 7\nAnswer: -14623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Let v be 1 + -4*(-3)\/(-21). Let n be ((-4)\/(-6))\/((-20)\/12). Let p be 3\/((-6)\/4) + 3. What is the nearest to 0 in p, n, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let n = -0.12 - 4.88. Let x(u) = -2*u**3 + 38*u**2 + 129*u + 70. Let l be x(22). What is the closest to 1\/5 in n, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to -2? (a) -0.5 (b) 3 (c) 1\/9 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in 17806 - 1186*b + 1191*b - 17810.\nAnswer: 5*b - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange -20*x + x**2 + 0*x**3 + x**3 - 3*x**3 + x**2 to g*x + j*x**2 + d + s*x**3 and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let f(a) = 20672*a + 5. Let z(h) = 5*h. Give f(z(v)).\nAnswer: 103360*v + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is 339165 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of -29*c**3 + 8552*c + 3422484 wrt c?\nAnswer: -87*c**2 + 8552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Is 1646822982 a multiple of 2306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Sort 1\/4, 1, -0.8, -2\/3.\nAnswer: -0.8, -2\/3, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: Is -4688 at least as big as -67\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 5.282 + -5.281996733. Round k to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let h(q) = -5*q + 6. Let y(a) be the first derivative of 5*a**2\/2 - 5*a - 24. Let s(x) = -5*h(x) - 6*y(x). Let g(o) = 3*o**2. Calculate s(g(w)).\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let q(k) be the first derivative of 13*k**4\/2 + k - 7. Differentiate q(x) wrt x.\nAnswer: 78*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 r and 1 b when two letters picked without replacement from {r: 2, b: 2, w: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let h = 3\/1223 + 4883\/3669. Factor 0 - 2\/3*u**3 + 0*u**2 + 0*u + h*u**5 + 2\/3*u**4.\nAnswer: 2*u**3*(u + 1)*(2*u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 12022710?\nAnswer: 2, 3, 5, 7, 57251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: What is -25066260 rounded to the nearest 10000?\nAnswer: -25070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (((((r\/(r*r**(3\/7)))\/r)\/r)\/(r*r**3*r))\/((r\/(r**(1\/3)\/r))\/r*(r*r**(1\/3))\/r))\/(r**(-4\/5)*r\/r**5*r*r*r)**13 assuming r is positive.\nAnswer: r**(524\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: What is 128 minutes before 4:01 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 13.216 - -0.384. Let l = f - 13.2. Which is the biggest value? (a) 2\/11 (b) -2\/5 (c) l (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (-3 + sqrt(34)\/sqrt(2) + -5)**2 - sqrt(1700)*3*3.\nAnswer: -106*sqrt(17) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 565673, 1131353, 1697033, 2262713, 2828393?\nAnswer: 3394073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 73\/3297 and -18\/6329141.\nAnswer: 18987423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((sqrt(136)\/(sqrt(8)*-1) - 1*sqrt(833)) + sqrt(119)\/(sqrt(7) + sqrt(42)\/sqrt(384)))*-2.\nAnswer: 128*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the pth term of -1945, -3892, -5831, -7756, -9661, -11540, -13387?\n\"Answer: p**3 - 2*p**2 - 1948*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Expand 4*c**5 + 3*c**5 + 0*c**5 + c**3 - 2*c + 2*c - c**5 + (0*c**2 + c**2 + 0*c**2)*(-4*c - 2*c**3 + 4*c) + 0*c**2 + 0*c**2 - c**5 + 4*c**5 - 2*c**5 - 3*c**5.\nAnswer: 2*c**5 + c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Express (-1 + 1 + 2)*(-8*d + d + 2*d + (3 + 1 - 2)*(-d + 2*d + d) - 6 - 6*d + 6) in the form w + b*d and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 45\/(900\/(-320))*3\/28?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 95960?\nAnswer: 2, 5, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 245*f - 300838809 = 523982542 + 62176649. What is f rounded to the nearest ten thousand?\nAnswer: 3620000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let f = 9 + -14. Let j = -142\/3 + 47. Which is the closest to j? (a) 3\/7 (b) f (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 148*g = 29*g - 1434 + 1672 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of -87\/79712 and -39\/18656.\nAnswer: 876832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*t = 9*t - 600. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 22686540?\nAnswer: 2, 3, 5, 181, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let o(y) = -y**3 - 6*y**2 + 4*y - 10. Let z(v) = v**3 + 6*v**2 - 4*v + 8. Let s(m) = 5*o(m) + 6*z(m). Suppose 10 = -n + 6*n. Suppose -5 = l + n. What is s(l)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p(y) be the third derivative of -y**7\/2520 - y**6\/720 - y**5\/30 + 19*y**4\/24 - 9*y**2. Let x(o) be the second derivative of p(o). Determine x(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 40 divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is the common denominator of -31\/164 and 34\/451?\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Convert 4034 (base 8) to base 2.\nAnswer: 100000011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Simplify ((m**(2\/7))**(-2\/57)\/((m*m**(-3\/5)\/m)\/m**(-7)))\/((m**(-1\/4)\/m*m)\/m*m**(3\/7)*(m\/(m*m*m**(-1\/7)))\/m*m**(-1\/2)\/m) assuming m is positive.\nAnswer: m**(-17807\/7980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Let y(a) = 6*a + 66. Let d be y(-10). Let u be (-4)\/d - 1705380086\/(-129). Round u to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let q be -1*(2 + (-5 - -2)) + 17. Suppose 0 = 7*f - 13*f + q. Factor -6\/5*s**f + 0 - 2\/5*s**4 - 2\/5*s - 6\/5*s**2.\nAnswer: -2*s*(s + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 91 minutes after 11:29 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*j = 4*j - 9. Let q be (-14)\/(-3*3\/j). Suppose 3*y + 42 = -2*d, 5*y + 2*d + 2*d + 70 = 0. Do y and q have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 12, what is a60a + 434?\nAnswer: aa42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 243918265 is divided by 191.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of -337*f**6 + 10853*f**4 - 91633727*f**2 wrt f?\nAnswer: -40440*f**3 + 260472*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let z(i) = -1 - 3 + i - 2*i. Suppose -7*u = -3*u + 36. Let k be z(u). Solve k*y - 10 = -0*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -7833*i + 7543*i - 3190 = 0 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let a(s) be the second derivative of -1\/18*s**4 + 0 + 0*s**2 - 1\/60*s**5 + 0*s**3 - 2*s. Let a(h) = 0. Calculate h.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c(r) = -3*r**2. Let p(h) = -2*h**2 + 10020370*h - 2. What is p(c(q))?\nAnswer: -18*q**4 - 30061110*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in 2647, 5124, 7587, 10030, 12447, 14832?\nAnswer: 17179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*v + 4*d = 23, 6*v - 5*d - 50 = v. Suppose 42 = 10*q - v*q. Solve -18 = -u - 3*j, j = 2*u - 3*j + q for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 z and 2 t when three letters picked without replacement from {z: 2, x: 2, t: 4, o: 3, n: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the least common multiple of 35076 and 60495.\nAnswer: 19116420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let m = -212.7 + -164.9. Let v = m + 192.2. What is v rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d = -9 + 13. Let z be (-28)\/(-6) - d\/6. Suppose -5*b - 5*a + 20 = 0, -b = -0*b + z*a - 7. What is the remainder when b is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let z(x) = x + 8. What are the prime factors of z(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -5*z + 126 + 119 = 0. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = k - w - 7, 0*w = k + w + 1. Let i = 36 + -12. Calculate the greatest common divisor of i and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 542831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let q(b) = 2*b**2 - 108*b - 3. Let a be q(0). What is the second smallest value in -0.5, 22.9, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 10*l - 48 - 2382 = 0. Suppose 25*m + l = 34*m. Suppose 20 = -4*c, 47 - 2 = 4*i - 5*c. Calculate the least common multiple of i and m.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 39 - 9 = 2*h. Solve -4*w = -9*w + h for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let p = -5 - -6. Let q = -24 + 23.7. Which is the nearest to -1? (a) q (b) -2\/11 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 86341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (-143)\/(-261) - 225\/(20250\/40)?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from nyniyycynycccic. Give prob of sequence cn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Let v(h) = -7*h. Let g(l) = -4*l**2 - 3*l + 3. Let x(n) = 5*n**2 + 4*n - 4. Let t(d) = 4*g(d) + 3*x(d). Give t(v(u)).\nAnswer: -49*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is 248520 divided by -10355?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Solve 114*c - 416 = -644 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 2*z = 4*z - 10. Suppose 4 = -4*x - 4*h, -4*x - 4 = z*h + 4. Solve -3*d = -0*d + 3*j - 9, 0 = x*d + 4*j - 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*y - 9*y = 0. Suppose -2 = -m - y. Let x(b) = 1 + m + 0 - b - 2. Let g(i) = -4*i + 2. What is 2*g(n) - 4*x(n)?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = u - 6*u + 20. Suppose 3*b = -u*z + 8 + 34, 4*b + 4*z = 52. What is the remainder when 1536\/84 + 22\/(-77) is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the fifth biggest value in -22\/13, 2\/11, -5, 21\/5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 5496.\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -c + 56 = 4*t, -2*t + 28 = -3*c + 5*c. Calculate the remainder when (-11 + 2)*-3 - 1 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Does 7973 divide 987668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let m(r) = r**3 + r**2 - 6. Let c be m(0). Let k be 217\/(-245) + 3 + c\/(-21). Factor 18\/5 + 2\/5*y**2 - k*y.\nAnswer: 2*(y - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -2689*z + 40 = -2694*z - 3*b, 4*z + b = -32 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Factor 3*p**2\/4 - 12*p - 51\/4.\nAnswer: 3*(p - 17)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 335 in -0.03, -7\/5, -0.18, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let k(y) = y - 16. Let s be k(18). Differentiate f**2 + f**2 + 3*f - 2*f**s + f**2 - 56 wrt f.\nAnswer: 2*f + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {u: 1, c: 3, q: 1, k: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Expand (y**2 + 3214 - 3214)*(y**2 - 4*y**2 + y**2) + 0 + 1 + 2*y**4 - 4*y**4.\nAnswer: -4*y**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -12*j**3 - 6*j**3 + 2*j**3.\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: What is the nearest to 0.12 in 1, 0.4, 1\/3211, 154?\nAnswer: 1\/3211","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: ((-1937)\/5811)\/((-1)\/(-6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let p(a) be the first derivative of a**2\/2 + 1. Let x(l) = -93*l - 87*l - 88*l - 91*l + 357*l. Give p(x(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let m(l) = 2*l**3 + 2*l**2 - 3*l + 3. Let k(i) = 29*i**2 + 26*i - 1. Let z be k(-1). Let d(n) = -2*n**3 - 3*n**2 + 2*n - 2. Determine z*m(c) + 3*d(c).\nAnswer: -2*c**3 - 5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Which is greater: -277\/103679 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of 914*z**4 + 10*z**2 + 8.\nAnswer: 21936*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let w(f) = f**2 + f. Let l be w(-2). Let r(b) = -21*b + 215. Let a be r(10). Solve 5 = l*z - a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -2.350445 rounded to two decimal places?\nAnswer: -2.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -15 + 15 - 13*c**2 - 39*c**2.\nAnswer: -52*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*h + 9*h - 20 = 0. Let r(g) = 3*g + 5. Let i(x) = -x - 2. Let y = 21 + -11. Let z(a) = h*r(a) + y*i(a). Let u(l) = -2*l. What is z(u(j))?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Work out 5979 * 168877.\nAnswer: 1009715583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let g(m) = -12*m**2 + 5*m - 5. Let u(l) = 15*l**2 - 6*l + 6. Let f(o) = 6*g(o) + 5*u(o). Let b(t) = 46*t. Calculate f(b(y)).\nAnswer: 6348*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 135268?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -6*(-6*sqrt(35)\/(sqrt(5) - ((sqrt(55) - sqrt(880))\/sqrt(11) + sqrt(5))))**2 - -6*(sqrt(70)\/(sqrt(80)\/sqrt(32)))**2*-3.\nAnswer: -672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let c(h) = -h - 4477. Let p(s) = 283*s - 3. Determine p(c(k)).\nAnswer: -283*k - 1266994","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Is 3364986221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Round 1182000 to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -1? (a) -55 (b) 0.4 (c) -0.4 (d) -2 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Convert 5.754416 hours to seconds.\nAnswer: 20715.8976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((-6)\/4)\/((-8423)\/(-16846)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of (8\/10)\/((-676)\/(-11830))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let k(m) = 2*m. Let w(u) = -47*u**2 - 8192*u - 3. Give k(w(s)).\nAnswer: -94*s**2 - 16384*s - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 112\/7*((-638)\/80 - -8).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 17*k - 10*k - 28. Suppose 18*w - 58 + k = 0. Solve -w*q + u + 8 = 0, -3*u = -q + 2*u - 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 589118 and 7922?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let y(i) be the third derivative of i**7\/490 - 3*i**6\/280 + i**5\/70 - 2*i**2. Solve y(z) = 0 for z.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 15, what is a - -38?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is -13573739.7 rounded to the nearest 10000?\nAnswer: -13570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let x(z) = 2*z**2 - 1. Let n(h) = 2*h**2 - 2. Let k(q) = -5*n(q) + 4*x(q). Find the first derivative of k(y) wrt y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -0*f - 4*f + 8, 4*f - 23 = -3*j. Let g be 1\/(1\/j) + -2. Suppose 4*h - g*d - 93 = h, 83 = 3*h - d. What is h rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -5*(2 + -2 + sqrt(50) + sqrt(2) - ((1 + sqrt(2))*-5 - (4 + sqrt(2)*-1))).\nAnswer: -50*sqrt(2) - 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Let s = -0.04 - 0. Let u = -930.0429 + 930. Let t = s - u. What is t rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(3) - (sqrt(15)\/sqrt(5)*-5)**2) + (-3*sqrt(9)\/sqrt(3) - sqrt(3) - sqrt(3)) + -4 - 3*(((sqrt(27) + sqrt(243))*-5)\/sqrt(9))**2*-5.\nAnswer: -4*sqrt(3) + 17921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is 11\/2 of a meter in centimeters?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Is 237809683 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 3374862119?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Put 565, 0, 4, 3 in increasing order.\nAnswer: 0, 3, 4, 565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 6799281.\nAnswer: 3, 2266427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let o be (-1)\/(((-6)\/(-2))\/18). Let p(x) = 2*x + 16. Let i be p(o). Suppose 4*j + i = 3*u, 0 = -u + 3*j + 3 - 0. Is u less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*b + 450 = 118. Suppose -3*t - 7 = b. Is -3 + (1 + 2 - t) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of 4\/71 and -65\/568.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let n = 30 - 25. Suppose n*k - 439 = -3*w, 4*w + 3*k = 50 + 528. Let b = w - 43. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((-4)\/21)\/((-30)\/72240*-86).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let r = 3286 + -3288. What is the nearest to 0 in 0.1, 0.5, r, -3\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-955 + 57*c + 40*c - 79*c + 669)*(c**4 - 4*c**4 + c**4).\nAnswer: -36*c**5 + 572*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Expand (2*s + 2*s**2 - 2*s)*(4*s**2 + s**2 - 4*s**2) + 1481 - 1481 - 115*s**4 - 5*s**4 + 3*s**4 + 0*s**4.\nAnswer: -115*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Solve 5*b = 12*c - 451, -42*c - 5*b = -36*c + 397 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -2 + (-91)\/28 + 5.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 74944274 is divided by 3186?\nAnswer: 3182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 5*l + j = -3*j + 24, 4 = -l - 3*j. Suppose -l*r + 22552 = -0*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 14*n**2 + 480*n - 696972 - 21*n**2 + 0*n**2 + 2412*n + 4*n**2 = 0. What is n?\nAnswer: 482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u be 1\/3 - 56\/(-12). Let d(s) = -2 - 4 + 12*s + u. Does 4 divide d(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Product of -4 and -0.105582.\nAnswer: 0.422328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Convert -111422420 (base 5) to base 14.\nAnswer: -cd941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is (-20)\/32*-2*(-1 - 3) + (-126000)\/(-31500)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Determine d, given that -52*d**5 + 744*d**4 + 8008*d**3 + 17856*d**2 - 7668*d - 40392 = 0.\nAnswer: -3, 17\/13, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: What is the tens digit of 565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*b + 2 = 17. Let a = b + 0. Let d be a*(1 - 9\/5). Solve 0 = -3*c + d*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let s(f) be the second derivative of -f**4\/12 + 7*f**3\/6 - 13*f**2\/2 + 53*f. Let g be s(4). Which is the nearest to 0? (a) g (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: (-10)\/(-221)*381\/(150495\/2054)\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Is 2945591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 51756?\nAnswer: 2, 3, 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fourth biggest value? (a) 21445 (b) 1 (c) -0.2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 0.5 in 0.5, -4, 42.7, 1.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: What is 1313.4111 rounded to the nearest ten?\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let v(b) = b**2 - 12*b - 221. Determine v(22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Is 0.186 <= 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Let g be (6\/8)\/(9\/6). Let c(h) be the first derivative of -g*h**2 - 2\/3*h**3 + 1 + 0*h. What is the second derivative of c(m) wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Round -13518351 to the nearest one thousand.\nAnswer: -13518000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Divide 5620394 by 5.\nAnswer: 5620394\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let m = 2423 - 2436. Suppose 9*y = 4*y - 45. Is m less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} -{"text":"Question: Round -0.000013654 to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let p(j) = -11*j**2 + 69*j + 180. Let c(i) = -5*i**2 + 33*i + 90. Let k(b) = -7*c(b) + 3*p(b). Factor k(d).\nAnswer: 2*(d - 15)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten thousands digit of 24681?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Expand (5*n + 161*n - 9*n)*(8 - 8 - 6*n) + (-n + 0*n + 0*n)*(1 + n - 1).\nAnswer: -943*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 2 q and 1 d when three letters picked without replacement from qzrggrqdqqdd.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is 56249 to the power of 1\/2, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = 2*y - 3*s, -y - 3*s + 3 = -2*y. Let x be (-4)\/4 + 2 + y. Suppose u - x = -0. Solve -u = 2*w, -3*p + 0*p = 4*w + 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is 10111101101101110101 - -110?\nAnswer: 10111101101101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -10*h - 83 = -743. Solve -h*j + 8 = -70*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from {y: 1, t: 1, r: 1, q: 1, a: 1}. What is prob of picking 1 r and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let l(x) = x + 3. Let u be l(-1). Let g(m) = 1 - 3*m + 1 - 35*m**3 + 5*m**2 + 34*m**3. What is the remainder when 8 is divided by g(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate -70*(-1)\/42*((-36)\/(-10))\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Find the third derivative of 6*i**5 - 3*i**4 + i**3 + 16*i**2 + 2*i - 2 wrt i.\nAnswer: 360*i**2 - 72*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Factor 50\/7*l**2 - 2\/7*l**3 + 174\/7 + 226\/7*l.\nAnswer: -2*(l - 29)*(l + 1)*(l + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is -110 (base 2) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Solve 2*l + 10497*c - 10492*c + 21 = 0, 0 = 4*l - c + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let z(r) = -r**2 - 2. Let b be z(0). Let m(f) = 29*f + 13. Suppose -2*k + 36 = -2*n, 2*n - 1336 = 3*k - 1381. Let u(p) = -7*p - 3. Give b*m(i) + n*u(i).\nAnswer: 5*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: What is a in a**5 + 5*a**4\/3 + 2*a**3\/3 = 0?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Is 578089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (-300)\/600*(-12)\/(-334)*(-16)\/24.\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: 16\/(-10) - ((-148512)\/(-1870))\/(-56)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -24 + 20 + (3 - (5 + -2)) + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Is 1949187846 a multiple of 4230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 i, 1 f, and 1 o when three letters picked without replacement from {i: 3, f: 5, n: 1, o: 4}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Let s(m) = 2*m**2 + 13*m + 6. Determine s(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate 1*(-10)\/280*-14.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is 111 + -10111000001001110010?\nAnswer: -10111000001001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let t(k) be the first derivative of 4*k**3\/3 - 4*k - 2. What is the derivative of t(j) wrt j?\nAnswer: 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: b\"What is the hth term of -895, -3517, -7881, -13981, -21811?\n\"Answer: h**3 - 877*h**2 + 2*h - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = a + d + 2, -2*a + d - 3 + 5 = 0. Suppose 4*g - 17 = -r, -r + 2*g = 7 - 0. Put r, a, -1 in ascending order.\nAnswer: -1, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 656 is divided by 89.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Is 12397 less than 12351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} -{"text":"Question: Does 1297 divide 8543670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -b - 3*v - 2*v + 11, 5*b - 1 = 2*v. Find the third derivative of -3*c**2 - b + 4*c**3 + 1 + c**2 wrt c.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the difference between -0.1 and 1.6234334?\nAnswer: 1.7234334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Solve 4*o - 4*p + 3*p - 4 - 28 = -4*p, -48*o = -4*p - 224 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let d be (-10)\/(-60) - 14\/12 - 5570999. What is d rounded to the nearest one hundred thousand?\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 656333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: Let h(a) = -a**2 + 2*a - 1. Calculate h(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Is 8056384 a multiple of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Sort -1417, 11\/2, 2\/3, 5.92.\nAnswer: -1417, 2\/3, 11\/2, 5.92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the second derivative of -2*a**3*d**2 + a**3*d - 25*a**2*d**2 + 69*a*d**2 + 2*a*d wrt a?\nAnswer: -12*a*d**2 + 6*a*d - 50*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*z - 2*z - 30 = 0. Let k = z + 10. Let i(h) = 1 - 2*h + 0*h + k*h. Give i(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 41 minutes after 10:45 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let o = -48.245 + 6.87. Let c = -57.1669 - o. Let m = -15.8 - c. What is m rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve -21910 - 13355 = 2379*v + 62274 for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fifth smallest value? (a) 12 (b) -4 (c) -8 (d) -0.3 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 2868\/(-20)*(-15)\/(6 + 72\/(-16)) is divided by 76.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify -4 + -2*(sqrt(104)\/(sqrt(8)*1) - ((sqrt(13) + 1)*1 - sqrt(13))**2) - (4 + 2*(-1 + sqrt(637) + 1))**2.\nAnswer: -2566 - 114*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 0 = -5*d - 0*d + 15. Let p be 820\/8 + d\/2. What is the highest common divisor of p and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Three letters picked without replacement from {a: 2, l: 1, k: 6, i: 4, z: 4}. Give prob of sequence izl.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: 2.42+-7\nAnswer: -4.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: Let s = 2138491 - 3038491. What is s rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 3, what is 10 + -1221000210?\nAnswer: -1221000200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -1975, -2046, -2117?\nAnswer: -2188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let u(t) = -t**2 + 3*t - 5. Let p be u(4). Let x = 24 - p. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 531017 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Let g(h) = -7*h - 1. Let d be g(-1). Which is smaller: d or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 2, what is -11 - 1001000?\nAnswer: -1001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let c = -4 - -4. Let d be 1 + (-3 - 14\/(-8)). Put d, c, 2\/7 in increasing order.\nAnswer: d, c, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 6627?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let a = 125 - 31. List the prime factors of a.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(q) = -2*q. Let o be l(-8). Suppose -t - 3*t + 5*d - 4 = 0, -4*d = -o. Is 490\/t + (-4)\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 1\/(2030\/(-126)*(-57)\/190)?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -2*t = -7 - 1. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 15, what is -2 + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -33822, -33936, -34044, -34140, -34218, -34272?\nAnswer: -34296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from xxxggggxgxxggggxxxgg. Give prob of picking 2 x and 2 g.\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: 0.3495 * -0.11\nAnswer: -0.038445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 t and 2 b when three letters picked without replacement from bbttbb?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 19\/144 and -13\/456.\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let w be 1\/2*3\/3. What is the closest to w in -0.2, -1\/4, -1.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: -489486*-1\nAnswer: 489486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Factor 19*p**2\/4 - 517*p\/4 - 1295.\nAnswer: (p - 35)*(19*p + 148)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Is 1772923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: What is the greatest common factor of 2008108 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let j be (-31 - -1)*6\/(-12). Suppose j*u - 25 = 5. Solve 4 = -u*c + c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: (2\/4)\/((-40)\/16)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let i = 15\/7 - 67\/28. Let z = -79 + 79. Which is the nearest to z? (a) 5 (b) i (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l be (-4 - -3 - 2)*4\/3. Let z(u) = 2*u. Let i(x) = x. Let f(c) = l*z(c) + 11*i(c). Let v(j) = -8*j**2. Give v(f(d)).\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Round -16302680 to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: Let k = 300.1 - 300. Which is smaller: -0.021 or k?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3 = -m, -5*m + 23346 = 5*l - 2*l. List the prime factors of l.\nAnswer: 7, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let l(k) = 16*k**2 + 2*k + 1. Let d be l(-1). Let n = 30 + -15. Calculate the remainder when (-3)\/(-2)*430\/d is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -58*j + 3671196 + 354372 = 56*j. What is the thousands digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -u - 2 = -4. Let a be (-3)\/6*-9 - 1\/u. Put a, 5, -5, 52 in descending order.\nAnswer: 52, 5, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} -{"text":"Question: What is the hundreds digit of 28909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is 42 minutes before 4:26 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to 0? (a) 14 (b) -0.4 (c) -0.26 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let f be (8\/(-40))\/(2\/50) + 10. Let q(h) = h**2 - 9*h + 11. Calculate q(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let v(w) = w + 11. Let y be v(-9). Let h be y - (1 + 1)*-1. Suppose -3*r - 4 = -5*r. Solve -16 = -h*x, 13 = 2*n + r*x - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 68 + -22. Let l = 50.6 - d. Round l to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let k be 57\/(-133) + 78\/378. Which is the biggest value? (a) -4 (b) k (c) 5 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let m(n) = -56*n + 3. Let k(c) = 152070*c**2 - 76044*c**2 - 76046*c**2. Determine k(m(y)).\nAnswer: -62720*y**2 + 6720*y - 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: In base 15, what is -5814 + 356c?\nAnswer: -2297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -10, 122, 262, 416, 590?\nAnswer: 790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Let j = 0 + 0. Suppose -32169 = -73*k - 31439. Solve -6*h + k*h = j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*y - 11 = s + 7, y + 5*s + 10 = 0. Let m = 0 + y. Let w(r) = -m*r + r + 2*r - 4*r. Let u(n) = 2*n. Determine w(u(f)).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: What is the derivative of -67151*l**3*n**2*o - 2*l**3*n*o - 1352*l**3 - 33*l**2*n**2 wrt o?\nAnswer: -67151*l**3*n**2 - 2*l**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4 = -12*y + 13*y. Is -2 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -3*z**5 + 2267339*z**3 + 10*z - 1387687 wrt z.\nAnswer: -60*z**3 + 13604034*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let u = -23925 - -23924. Let a(g) = -g. Let j(n) = -n + 9. What is u*j(t) + 5*a(t)?\nAnswer: -4*t - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 1862 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Let o(f) = f**3 + 57*f**2 - 252*f - 19902. Determine o(-55).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Let t be 32\/48 + 1\/3. What is the biggest value in t, -0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 1:25 PM and 6:57 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 1326145 and 1025.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -2*q**3 - 13*q**2 - 240*q - 1 wrt q.\nAnswer: -12*q - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let n(c) = -15*c - 242. Calculate n(-14).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: -470 (base 12) to base 15\nAnswer: -2e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*j + 0*j = 0. Suppose j*r + 2*r = 18. Solve i + 2*i - 22 = -5*n, 0 = 4*i - n + r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the closest to 1\/4? (a) 142\/17 (b) 1\/4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Does 8 divide 354614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let u(s) = 3*s. Let o be u(1). Suppose -o*b + 27 + 27 = 0. Let i(k) = 3*k**3 - 4*k**2 + 4. Calculate the least common multiple of b and i(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let i(q) = -q**2 - 29486*q - 5. Let a(f) = -10*f. Determine i(a(x)).\nAnswer: -100*x**2 + 294860*x - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Four letters picked without replacement from {m: 1, d: 3, y: 2, h: 6, q: 2}. What is prob of sequence dyhq?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from dtqmctqqmyt.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zzddddzzdddz.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: How many centimeters are there in eighteen fifths of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 421766 is divided by 174.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Calculate (3\/9)\/((-380)\/120).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -7*150\/140*352\/55.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Let l(p) = -p + 1. Let a(b) = -4*b - 15. Let f be a(-7). Suppose 8*m = f*m - 20. Suppose u - 5*o - 21 = -10*o, m*u = -2*o - 6. What is l(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let u = 1.538 - 3.297. What is u rounded to 1 dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 4*i = 4*d + 476, -142 = -2*i - 4*d + 78. What are the prime factors of i?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(104) + -2*sqrt(104)*6 + (2*sqrt(104) + sqrt(104))*3)\/(5*sqrt(648)*-1) + -4.\nAnswer: -4 + 2*sqrt(13)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -1664*k**2*n**2 + 1714*k**2*n + 2*k**2 - 1645*n**2 + n - 8431 wrt k.\nAnswer: -3328*k*n**2 + 3428*k*n + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -1768 + 3405. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let c = -36919\/3 + 12307. Factor 14\/3*q - c*q**2 - 20\/3.\nAnswer: -2*(q - 5)*(q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of sequence mzz when three letters picked without replacement from {z: 9, c: 3, x: 1, m: 1, h: 3, l: 1}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} -{"text":"Question: What is -111 (base 6) in base 16?\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of -95*a**5*z**2 - 4*a**3*z**2 + a*z - 21*z**2 wrt a.\nAnswer: -1900*a**3*z**2 - 24*a*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let m(y) be the first derivative of y**6\/600 + y**5\/200 - y**4\/20 - 4*y**3\/3 - 1. Let d(t) be the third derivative of m(t). Let d(o) = 0. What is o?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let a(y) be the third derivative of -y**8\/13440 - y**7\/5040 - y**4\/6 + 3*y**2. Let v(p) be the second derivative of a(p). Solve v(b) = 0 for b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 528 minutes after 4:33 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Solve -4*b + 8 = -2*q, -31*q + 29*q - 3 = b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let x(l) = l**2. Let j(m) = -15901349*m. Calculate x(j(d)).\nAnswer: 252852900019801*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: In base 7, what is 5 + 2026640151?\nAnswer: 2026640156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 5 - -3. Let u(v) = -13*v - 2. Calculate the least common multiple of y and u(-1).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 80 + -80.043. Round y to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b = -47 - -50. Let v(w) = w**2 + 1. Let t be v(0). Let c = t + b. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the units digit of 12378909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Let k = -3423 + 3426. Solve 5*g - 2 + 4 = k*f, 5*f - 3*g + 2 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Collect the terms in -15*y**3 + 33*y**3 - 6*y**3.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} -{"text":"Question: Calculate 0.585*-0.083.\nAnswer: -0.048555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let l(t) be the second derivative of 7*t**6\/10 - 3*t**5\/4 - 4*t**4 - 2*t**3 + 12*t. Factor l(a).\nAnswer: 3*a*(a - 2)*(a + 1)*(7*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 15, what is -2 - -a822ee0?\nAnswer: a822edd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Let g be (-1 + 3)*(-4 - 52\/8). Sort 2, -1, g in descending order.\nAnswer: 2, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w = -23 + 18. Let c = -5.3 - w. What is the fourth smallest value in 1\/3, c, 4, -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: (-10)\/(-280) - 757\/28\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 25043 is divided by 1004.\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let l be (-4)\/5*(-5)\/2. Let s be ((-120)\/250)\/((-4)\/10). Which is smaller: s or l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 7:58 PM and 12:54 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Sort -5, 2, -45, 0, 109, -7, 8 in descending order.\nAnswer: 109, 8, 2, 0, -5, -7, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 419844239?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: Does 16 divide 629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let p be (-4 - -3)\/((-2)\/(-22)). Let c be p + (-1 + 0)\/1. What is the remainder when 40 is divided by (35\/(-15))\/(2\/c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 26168 is divided by 141.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Factor -n**3 + 3805*n**2 - 470656*n.\nAnswer: -n*(n - 3677)*(n - 128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Solve 157*a + 108 - 3719 = 0 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is the third smallest value in 139, -0.5, 1\/4, 0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: What is the thousands digit of 6669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: What is 341 minutes after 4:29 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest common multiple of 603 and 34470?\nAnswer: 2309490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Expand (540*w - 273*w - 197 - 265*w)*(0 + 0 - 3*w**4).\nAnswer: -6*w**5 + 591*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: What is the third derivative of 1864*s**6 + 13*s**5 + 5*s**3 + 278258*s**2 - 1?\nAnswer: 223680*s**3 + 780*s**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: -3 divided by -65243\nAnswer: 3\/65243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let k be (5 + (27 - 5))\/((-1)\/(-3)). Suppose 0 = -8*q - q + k. What is the highest common divisor of q and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w(n) be the first derivative of -44*n**3\/3 - 9*n**2\/2 + 9*n - 3. Let j(h) = 6*h + 11*h + 5*h + 11*h**2 - 2 - 24*h + 4*h. What is 9*j(l) + 2*w(l)?\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 85870*(2\/8)\/(410\/656).\nAnswer: 2, 31, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 6348599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} -{"text":"Question: In base 13, what is 450c04 + -13c?\nAnswer: 450a95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common factor of 27342 and 10143?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -2 (c) 0.66 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} -{"text":"Question: Let k(b) = -b**2 - 7*b - 3. Let u be k(-7). Let h be u - (-2 + (2 - 3)). Solve -2*n + o + 0*o - 13 = h, -17 = 4*n + o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 13, what is -9 - -1317?\nAnswer: 130b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the greatest common divisor of 562 and 482758.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 17 - 40 + 6 + 13 + 970*n to g*n + q and give g.\nAnswer: 970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let y(f) = f**2 + 4*f - 6. Let p be y(-6). Let t = p + -11. Which is the nearest to 0? (a) -4 (b) t (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Is 16802 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} -{"text":"Question: Let p(y) = -y + 1. Let f be p(2). Suppose 26 = -96794*t + 96820*t. Let r = -8 + 13. Which is the nearest to f? (a) r (b) -0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let j(m) = -m**3 + 80*m**2 + 275*m + 5132. Give j(84).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Expand (-i + 4*i - i + 1 + i - 1 + (-4*i + 5*i + i)*(3 + 3 - 5) + 2*i - 4*i + 4*i - 2*i - 3*i + 3*i)*(3 - 4 + 0)*(5*i - 2*i + 0*i).\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Simplify c\/c**(1\/3)*(c**(1\/2)\/c*c*c*c)\/c*(c**(-1\/2))**49 assuming c is positive.\nAnswer: c**(-67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} -{"text":"Question: Factor 2*o**3 - 22*o**2 - 2*o + 22.\nAnswer: 2*(o - 11)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} -{"text":"Question: Solve 3*n = -35 + 26 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let b = 44 + -38. Suppose -2*o + 339 = -5*g, b*g - 5 = g. What are the prime factors of o?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the product of -13817428 and 3?\nAnswer: -41452284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} -{"text":"Question: Let a(q) = -q + 9. Let b be a(4). Let w(s) be the third derivative of 0 + 6*s**2 + 0*s - 5\/6*s**3 - 1\/12*s**4. Calculate w(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Differentiate -53718*h + 61997 wrt h.\nAnswer: -53718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let j(m) be the first derivative of m**2 - 4*m + 3. Let x be 0 + 8 + -2 + 1. Does 5 divide j(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -1\/4? (a) 2\/21 (b) 10\/17 (c) -309 (d) 4 (e) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the highest common factor of 839689 and 1965529.\nAnswer: 4691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {q: 1, k: 2, y: 1, s: 1, j: 1, i: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the highest common divisor of 1750 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} -{"text":"Question: What is the smallest common multiple of 2450408 and 4288214?\nAnswer: 17152856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let p(s) = 3*s**2. Suppose -5*u = n - 525, -n + 6*n + 343 = 3*u. Let t(l) = u*l + 8 - 141*l - 5. Give t(p(b)).\nAnswer: -105*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Find the common denominator of -73\/676302 and 37\/12.\nAnswer: 1352604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let y = 3039 - 21275\/7. Which is the closest to -0.1? (a) y (b) -1\/3 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let g(l) = -l + 1. Let q be g(5). Let x be 0\/(-1) - (q - -1). Solve -c - 2 = -r, -12 = x*c + c for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let b(l) = -216*l + 92 - 3*l**2 + 217*l - 92. Let o(i) = 18*i. Give b(o(v)).\nAnswer: -972*v**2 + 18*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} -{"text":"Question: Let i(t) = -t**3 - 2*t**2 - t - 1. Let v be i(-2). Solve -2*s - v = 9 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the difference between 1.02862 and -0.4?\nAnswer: 1.42862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} -{"text":"Question: List the prime factors of 980.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let p(m) = 277*m + 2. Let h(j) = -1111*j - 9. Determine 2*h(w) + 9*p(w).\nAnswer: 271*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the smallest common multiple of 36350 and 15.\nAnswer: 109050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let s = 18 - 32. Let x(t) = -t**3 - 15*t**2 - 14*t + 2. Let r be x(s). Suppose -r*a = -119 + 47. Is 18 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 705 minutes before 10:02 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*p = -6*p - 18. Let b(a) = -a**2 - 4*a - 1. Let f(z) = -z**2 - 4*z - 2. Let o(u) = p*f(u) + 7*b(u). Let m = 3 + -8. Determine o(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: -12 (base 13) to base 6\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What are the prime factors of 5638999?\nAnswer: 1907, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} -{"text":"Question: Let h be 672\/119 + -3 + 5. Is 7 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -7*u = -2*n - 2325 + 6432, 3*n - 6149 = -u. Calculate the remainder when n is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let w = 148.1 + -148. Let o = -8 + 7.6. Which is the nearest to -1? (a) -1 (b) o (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 455166 (base 8) in base 15?\nAnswer: 30a70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Find the second derivative of 50078*m**2 - 12683*m.\nAnswer: 100156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let w(r) = -2*r - 7. Let s be w(-6). Let t(m) = -6*m**2 + 2*m + 0*m**3 + 2*m + m**3 + 5 - 3. Determine t(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 483 = 2*n + 3*o, 3*n - 317 = -5*o + 408. What is the common denominator of (4\/50)\/((-3)\/n) and 6\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Solve 7*b + 168 = 231 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Expand 33*x**3 + 5*x**3 + 20*x**5 - 23*x**5 + (x**2 - 2*x**2 + 0*x**2)*(x**3 + x**3 - 3*x**3).\nAnswer: -2*x**5 + 38*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} -{"text":"Question: Let y be 1\/6 - (-66)\/36. What is the first derivative of 1 - 2 - y + p**3 wrt p?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the closest to 8 in -92, -5, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let i(w) = w - 2. Let x be i(2). Which is smaller: x or 2\/41?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 198.9448g in milligrams?\nAnswer: 198944.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: Simplify (sqrt(68)\/sqrt(4)*-3 + 0 + ((sqrt(1700) - (sqrt(1700) + 0))*-4 - sqrt(1700)))**2.\nAnswer: 2873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} -{"text":"Question: What is the first derivative of 4*h**2*r**3 - 3906*h - 14212*r**3 wrt h?\nAnswer: 8*h*r**3 - 3906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} -{"text":"Question: Let r(b) be the first derivative of -b + 2\/3*b**3 - 1\/4*b**4 + 0*b**2 + 3. Give r(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*o - v - 5 - 9 = 0, 18 = -o - 3*v. Let w(j) = j**2 + 5*j + 6. Let f be w(o). Which is the nearest to 1? (a) 0.1 (b) f (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the square root of 2806577037 to the nearest integer?\nAnswer: 52977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Rearrange 628*a**2 + 2 - 6010*a + 627*a**2 + 625*a**2 - 2508*a**2 + 630*a**2 to the form i + s*a**2 + d*a and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of ((-9)\/(-3))\/6*((-52820)\/2375 + 22)?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is 17 + (-4 - (4 - (-8 - -9))) + -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Solve -11799 = -1431*c - 30362 - 63004 for c.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: What is 2229108 divided by 4?\nAnswer: 557277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: Let o(g) = 62*g + 10808. Determine o(-174).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} -{"text":"Question: Suppose 3*r + 21 = 2*r + 5*y, -2*r - 5*y = -18. Let h = 194\/3 - 65. What is the biggest value in h, r, -3\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is 11 minutes after 12:13 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: What is the remainder when 266 is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 7573 is divided by 133.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Let z = 162 + -240. List the prime factors of z\/(-18) + (-2)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} -{"text":"Question: In base 14, what is 3 + -17?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: What is the ten millions digit of 303710303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} -{"text":"Question: In base 7, what is 26024234 + -1?\nAnswer: 26024233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} -{"text":"Question: Calculate ((-144)\/28)\/(((-8514)\/(-63))\/43).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Two letters picked without replacement from zggzfffgggf. Give prob of picking 1 g and 1 f.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: What is the next term in -290, -2819, -9662, -22967, -44882, -77555, -123134, -183767?\nAnswer: -261602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: Calculate -9 divided by -4.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} -{"text":"Question: What is 299329133 to the power of 1\/2, to the nearest integer?\nAnswer: 17301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: Solve -3 = -3*i + 3*n, -i - 5*n - 6 - 17 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} -{"text":"Question: Let n(g) = 14*g**2 - g. Let s(y) = 3*y**2. Let b(c) = n(c) - 4*s(c). Let f(r) = r**3 + 26*r**2 + 27*r + 49. Let a be f(-25). Calculate b(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -4*j - 29 = x, 4*x + 106*j = 110*j + 24. Let h = 0.3 - -0.7. Which is the closest to x? (a) h (b) -2 (c) 27\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} -{"text":"Question: Express -220*q**3 + 491*q**2 - 491*q**2 + 2 as s*q**3 + v*q**2 + w*q + f and give s.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} -{"text":"Question: Let g(b) = b**2 + 3*b**3 - 2*b**3 - 6*b**3 + 4*b**3. Let n be g(1). Let d(f) = f**2 - f - 5. Calculate d(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the common denominator of 53\/28520 and 13\/24955.\nAnswer: 199640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} -{"text":"Question: Let m(y) = 21*y - 5 - 3 + 6 - 46. Let w(c) = 3*c - 7. Let s(v) = -4*m(v) + 27*w(v). Differentiate s(a) wrt a.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} -{"text":"Question: What comes next: -100, -226, -352?\nAnswer: -478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} -{"text":"Question: How many minutes are there between 12:22 PM and 9:42 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} -{"text":"Question: Let o(r) = r**3 - 57 + 12 + r + 37. What is o(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} -{"text":"Question: Put -22, 777, 6, 5, -5 in decreasing order.\nAnswer: 777, 6, 5, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} -{"text":"Question: What is prob of picking 1 p, 1 a, 1 u, and 1 h when four letters picked without replacement from hjaphuh?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} -{"text":"Question: Solve -10378*k - 5863 = -10911*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} -{"text":"Question: Let b be 590\/(-15)*(48 - (2 + -2)). Let s = b + 570. Let t = -323 - s. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} -{"text":"Question: Let d = 18792 - 18796. Sort -71, d, 4, 2, 1 in decreasing order.\nAnswer: 4, 2, 1, d, -71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} -{"text":"Question: What is the value of 76\/(-342) + 29\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} -{"text":"Question: What is 0.5357511um in meters?\nAnswer: 0.0000005357511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} -{"text":"Question: 0 + 11 + (-9 - 4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Calculate the remainder when 538 is divided by 48.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} -{"text":"Question: Evaluate (58880\/4600)\/(((-5)\/25)\/(-1)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} -{"text":"Question: Round 0.746144 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} -{"text":"Question: -204312 (base 5) to base 8\nAnswer: -15260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: What is the third root of 1722901 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} -{"text":"Question: What is -1711 (base 10) in base 13?\nAnswer: -a18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} -{"text":"Question: Suppose -3*p + 14 + 28 = 0. Let v(x) = x + 14. Let a be v(-13). Suppose 2*d - a = 7. Calculate the lowest common multiple of d and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} -{"text":"Question: Which is the nearest to -46? (a) 0.09 (b) -1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} -{"text":"Question: Let q be (5\/(-80))\/(3\/101823). Let s = -2122 - q. What is the common denominator of 23\/5 and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}