diff --git "a/data/dm_maths/full_data_2/1366_11255.jsonl" "b/data/dm_maths/full_data_2/1366_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1366_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the highest common factor of 276738 and 4466?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8237395 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5055733141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2697 - 3?\nAnswer: 2694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (13277\/355)\/((-1768)\/(-3640))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1224 + 21411?\nAnswer: 23140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 5*y**6\/18 - 4*y**5\/3 + 5*y**4\/3 + 10*y**3\/9 - 25*y**2\/6 + 10*y\/3 + 13. Suppose v(k) = 0. Calculate k.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*b + 112, 158 = 5*d - 4*b + 2*b. Suppose 0 = -q + 5 + 1. What is the greatest common divisor of d and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/4)\/(33\/440). Let b = -12 + 23. Let y = -6 + b. Solve -3*t - 4*l = -r - 2, 0 = 3*t + y*l - 37 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 - 33. Let j be (-99)\/(-21) + (a\/14 - 1). Let f(z) = -7*z**2 + 6*z + 1. Let s(b) = b**2 - b. Determine j*s(r) + f(r).\nAnswer: -2*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by 18252.\nAnswer: -2\/1521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5232 or 1198?\nAnswer: -5232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 3072.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*k + 22*k + 23*k - 36. Let l = 4 - 13. What is the closest to k in 2, l, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - -4. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 7*c**2 - 6*c + 3. Let z be s(-6). Let t(x) = x**3 - 3*x**2 + 2*x - 2. Let v be t(z). Solve 0*n + v*n + 8 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 v when three letters picked without replacement from voqykoovkok?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(364\/24)*14\/(-10).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 7508*g + 3521904.\nAnswer: 4*(g + 921)*(g + 956)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5828 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 6. Let s be (-18)\/(-10) - (120\/25 - 5). Which is the second smallest value? (a) -0.2 (b) s (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1173 is divided by 496?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2\/((-36)\/(-27))*2\/(-63).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 763 - 731. Let b(y) = -8*y + 256. Let c be b(p). Factor c + 0*v + 3\/4*v**3 + 15\/4*v**2.\nAnswer: 3*v**2*(v + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 9*s**2 + 286*s + 4201. Let c be (4\/10)\/(40\/400). Let u(x) = -26*x**2 - 859*x - 12604. Let b(i) = c*u(i) + 11*r(i). Suppose b(n) = 0. Calculate n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4100*0.3.\nAnswer: -1230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -19380173.\nAnswer: 3876034.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 + -2.1. Let u = 1.58 + q. What is the second biggest value in 2\/7, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117200362378060 + -0.1\nAnswer: 117200362378059.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-2 + -6 - 31) - (-10 + 4).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2604*z**2 + 182 - 2425*z**2 + 5516*z**2 - 182.\nAnswer: 487*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*z - 23*z + 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**3 + 1762*u**2 - 484561*u = 0.\nAnswer: 0, 341, 1421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 174817\/143820 + -306\/235. Let l = 1\/36 + u. Suppose -4*y = -2*v - 2, 2*y + 4*v + 3 = -1. Do l and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/4))**(1\/15)*q**(-2\/15)\/(q\/q**(-6)) assuming q is positive.\nAnswer: q**(-143\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5541304353 a multiple of 6747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9089707ml?\nAnswer: 0.0009089707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103823.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of k**3\/3 + k**2 + 51*k - 11. List the prime factors of v(0).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120 (base 3) to base 4.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -3*j**7\/385 - j**6\/33 - 2*j**5\/165 + 134*j**2. Suppose d(p) = 0. Calculate p.\nAnswer: -2, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101011101 (base 2) in base 12?\nAnswer: -965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*w + 267*w + 3588 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 239321856 to the nearest integer?\nAnswer: 15470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 96612 > 96614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -17. Let n = t + 7.5. Which is smaller: n or -2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 6*y + 22. What is the remainder when 44 is divided by w(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/3027276 and -109\/2716?\nAnswer: 293645772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times 987?\nAnswer: -17766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n - 6. Let s be p(4). Find the third derivative of 2*w**3 + 5*w**s - 8*w**2 - 2*w**2 wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/2 - 6\/(-15)) + 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - 9\/2*(-2608 - -2606)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1097 from 0.4.\nAnswer: 1097.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -25577.8248 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 11, v: 9}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9843 rounded to 1 decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.59553 millilitres?\nAnswer: 0.00659553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 22?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i*i*i**(1\/10)*i*i\/i**3*i**3\/i**(-7) assuming i is positive.\nAnswer: i**(131\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -200 - -214. Solve 3*a - f + 31 = 4*f, -2*f + z = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-4\/9))**11 assuming l is positive.\nAnswer: l**(55\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3 = -9. Calculate the remainder when y is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3 - 12*t + 2 - 1. Is w(-3) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*(0 + 6*-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*h + 201*h - 614*h + 4*h**3 + 205*h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 588*t**2 - 43*t - 6649. Let n(d) = -315*d**2 + 22*d + 3325. Let b(j) = -7*n(j) - 4*o(j). What is the derivative of b(a) wrt a?\nAnswer: -294*a + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 59 and (-16)\/6*(0 - (6 - 3)).\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -9*z**2\/4 + 4956819*z\/4 + 11566107 = 0.\nAnswer: -28\/3, 550767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.19 and -4.55.\nAnswer: -4.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, g: 1, j: 1, r: 2, v: 1, k: 2}. Give prob of sequence gvk.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/2 - 22128446*n - 244834061187458.\nAnswer: -(n + 22128446)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**2 - 53*o - 52. Let l be f(-1). Let c(w) = -5*w**2 - 2*w + 1. Determine c(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 360 = 4*j. Suppose 2*n = 8*n - j. Let c = n + -10. What is the greatest common divisor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 3\/4, 0.05, 360\/23, -0.11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187150*a = 186907*a + 7047 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 1:12 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) -1\/4 (b) -4 (c) -37 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 10:21 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -189, 134 in increasing order.\nAnswer: -189, 0.2, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 c, and 1 l when three letters picked without replacement from {n: 1, u: 2, w: 1, b: 1, c: 2, l: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = s, 16 = 3*s + 5*j - 6. Let n = -48 - -51. Let y = n + -9. What is the biggest value in y, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(162) + ((sqrt(162) - sqrt(162)*-2) + sqrt(162))*6 + (sqrt(162) - (-4 + 1 + sqrt(162) + sqrt(162))))*6*1.\nAnswer: -2592*sqrt(2) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 1 - 1 + 2*a - 1 + 2*a**2. Let h(s) = -3*s**2. Let d(u) = -3*h(u) - 3*z(u). Factor d(j).\nAnswer: 3*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 8 = 3*w, 0*w = -3*w - m + 7. Suppose -w*d + 16 = 4*b, b - 5 - 7 = -5*d. Let s be (-1)\/2 - (-27)\/d. Solve -2*l + 5 = s for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 750*p + 5247. Determine z(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -5601\/5332?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4872295 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13969*g - 1071608 = 5327*g for g.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.6 + 1.84. Let x = 0.04 - h. Let v = 8.4 + -4.4. What is the third smallest value in 1, v, x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 divided by 10?\nAnswer: 107\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 - -89. Suppose 25*s = k*s - 15657. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7, -51, -123, -223, -351?\n\"Answer: -14*z**2 - 2*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 595 and 2499?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.625 - -1.31. Let g = -385.315 - k. Let s = 384.99542 + g. What is s rounded to four dps?\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1137 - -176. List the prime factors of q.\nAnswer: 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -16 + 2*l**2 + 16. Let s(v) = -17*v**2. What is s(p(b))?\nAnswer: -68*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from letgdqge. What is prob of picking 1 l, 1 g, and 1 q?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/690 and 103\/3174.\nAnswer: 15870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 703 - 139?\nAnswer: 5a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -217, 79, -4\/19 in descending order.\nAnswer: 79, -4\/19, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2700\/7 + -386. Let b = -4.06 + 0.06. Let t = b + 7. Sort -2, y, t.\nAnswer: -2, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a millimeter in micrometers?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6613, -1\/26, 3, -4\/9 in decreasing order.\nAnswer: 6613, 3, -1\/26, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**3 - m**2 + 4*m - 4. Let u(r) = -3*r**3 + r**2 - 3*r + 3. Let i(d) = -2*c(d) - 3*u(d). What is i(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1300*j + 29882 = 2582 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*j**2 + 21*j**2 + 4*j - 14*j**2 as z + q*j**2 + d*j and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 91441.69 centuries in months?\nAnswer: 109730028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000085105 rounded to seven dps?\nAnswer: -0.0000851","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 3*j - 9, 3*x - 2*j + 13 - 7 = 0. Let i be (-15)\/(-12) + ((-2)\/(-2) - 2). Let n = -8.12 - -0.12. What is the third smallest value in n, i, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 v when four letters picked without replacement from vvvvmmmvvxvvvmvxxv.\nAnswer: 11\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 3 - 3)*(-5 - 2 - 12*u + 6).\nAnswer: -12*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 2*k + (3 - 1 - 5)*(k - 2*k + 2*k) + 0*k - 2*k + 3*k + (-24 - 3 + 53)*((-3*k + k + 0*k)*(2 - 2 + 2) + 4*k - 2*k + k) to m + t*k and give t.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*p, 4*g + 12 + 4 = -2*p. Let f be g\/(-4)*12\/18. What is the highest common factor of 9 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2353153 - 21?\nAnswer: 2353132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - b - 36. Solve b - 1 = -h + 2*o, -22 = -h - 4*o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1628283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -30216 (base 8) to base 4\nAnswer: -3002032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 229 (b) 3 (c) -3 (d) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346 = 7*t - 2992. Calculate the lowest common multiple of 6 and t.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27301330 is divided by 4821?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12022 + -2?\nAnswer: -12024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 23536 and -3.4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 8*i**2 - 8. Let a = 60 + -57. Let m be -12 - 1*(-1 - a). Give y(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45713 (base 14) to base 12.\nAnswer: -81805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*l - 2*m + 13, 0 = -l - 3*m + 12. Let n be 45\/(-12) + l + 3. Let k = 157\/380 - 1\/76. Is k > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3900 by 780.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 11:02 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - k = 0. Let i(z) = -z + 4. What are the prime factors of i(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 1. Suppose 44*c + 40*c = 252. Let n(b) be the second derivative of 10*b + 0 - 1\/3*b**c - 3*b**2. What is 3*k(d) + n(d)?\nAnswer: d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 - 85*a + 1520. What is the thousands digit of k(107)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2122010222 - 1?\nAnswer: 2122010221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27615 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.4682 + 0.4812. Let i = -8 - f. Round i to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g = -5*p + 18 + 48, 2*g - 4*p = 6*g - 24 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2427, -4177, -5927?\n\"Answer: -1750*h - 677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1519520 to the nearest 10000.\nAnswer: 1520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 109.27, 0.08997 in descending order.\nAnswer: 109.27, 0.08997, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 0.018 (c) -129 (d) 3\/11 (e) -3 (f) 2\/19 (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - g + 1. Let l be (-2)\/((-224)\/40 + 6). Let u(r) = 5 + 210*r - r**2 + 2*r**2 - 214*r + 0. What is l*o(i) + u(i)?\nAnswer: -4*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2970 - 2970. Solve -11*j + 13*j = 2*g + 2, -5*j - 5 = x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o + 96 = 0. What is the highest common divisor of 80 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 6*a**2 + a + 1. Let n be q(4). Suppose -2*b + 53 + n = 0. Let z = 0 - -30. What is the greatest common divisor of b and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 3*q + 21. Let i be (-122)\/(-14) - 6\/q. Let y be (-1)\/(10\/(-8) + 1). Solve i = y*n - n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 10:18 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 52 = -2*s, 0*s - 2*s = -5*i - 83. Suppose -8*x = -3*m - 10*x + 9, -6 = -2*m - 3*x. What is the remainder when (-595)\/i*(0 + m) is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5655016, -5655017, -5655018, -5655019, -5655020?\nAnswer: -5655021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -808*y - 49598. Give g(-62).\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3079 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = d + s, -89*d = -91*d + 4*s + 6 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 w when three letters picked without replacement from {w: 5, v: 4, g: 2, h: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 629695 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g + 6. Let y be i(-5). Let o(u) = u**3 + 4*u**2 - 2*u - 5. Let l be o(y). Let r(t) = 9*t**3 - 4*t**2 + t + 1. Is r(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2464728 and 84574?\nAnswer: 17253096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -29*z + 4. Let u be y(9). Let c = u - -261. Solve k = -c*k + 15, -5*m - 5*k + 10 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 28*u + 288. What is l(-28)?\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 7*f + 2. Let z(v) = 20*v + 5. Let p(w) = -17*u(w) + 6*z(w). Let n be p(6). Calculate the highest common divisor of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 211\/(-100436)*-68*(-511)\/2*2\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 763710924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(sqrt(5) - sqrt(30)\/sqrt(96)).\nAnswer: 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 113999*a + 692. Is g(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 14) to base 2.\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3374.717 weeks?\nAnswer: 566952.456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 457 + -320. Let z = c - -177. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - i + 10 = 0, -14 = -2*a + 9*i - 5*i. Solve 5*v = -4*f + 7, -5*v = -a*f - 4*v - 9 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-108)\/(-144) + (-1513)\/(-4). Suppose 4*r = -v + m, 7*v + 782 = 9*v + 2*r. List the prime factors of v.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 227284007*a**2 - 9845*a - 72.\nAnswer: 454568014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w + 4. Let f be q(-2). Suppose f = 2*b - 4 - 4. Solve 5*i - 36 = b*g, -3*g + i + 2*i - 24 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*v**3 + 31*v - 4283 - 31*v + 4269.\nAnswer: -21*v**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281*z - 107614 = -307*z - 26546. Calculate the remainder when z is divided by 120.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -109 + 55. Let q = -54.17 - l. Put -5, q, -3\/4, -1 in increasing order.\nAnswer: -5, -1, -3\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**4 + 340*z**3 - 695*z**2 + 350*z = 0.\nAnswer: -70, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2743761743 to the nearest integer?\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 46, 4, 0.3, 2\/3307?\nAnswer: 2\/3307","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2052 - 2?\nAnswer: -2054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/3)\/(-2*(-1)\/(-537)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3, 1, -7, -21?\n\"Answer: -3*a**2 + 7*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3 = 5. Which is smaller: -3 or x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 4. Let p be 1 - (0\/(-3) - w). Let d = 13 - p. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 - 1 - (-4205 + 4125)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*q**2 + 22*q - 10*q - 12*q in the form l*q**2 + r + x*q and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*y**2 + 9*y**2 + y**2.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - u = 5, 5*j + u - 3 = 4*u. Suppose j*d - 6 = r, 18 - 6 = 4*r. Solve 5*c = -3*z - 3, c + 0*c = 3*z + d for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.11 - -0.11. Let a = 4 - 6. Sort a, -3\/5, s in descending order.\nAnswer: -3\/5, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvv. What is prob of sequence vv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*y - 12401 = 0, -v + 12341 = 40*y - 47*y. List the prime factors of v.\nAnswer: 7, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tqv when three letters picked without replacement from {v: 5, l: 2, q: 1, t: 8}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 11103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -7*k**3 + 135*k**2 - 54*k - 178. Give t(19).\nAnswer: -482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 90990 divided by 45\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 1, 4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2. Let z(q) = -128*q**2 + 2. Determine f(z(w)).\nAnswer: 49152*w**4 - 1536*w**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -144323 - -46?\nAnswer: -144244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1458 + -1462. What is the nearest to x in 1\/2, 0.02, 0.08?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 104*c + 3249. What is f(-18)?\nAnswer: 1377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**6\/320 - g**5\/8 - 9*g**4\/16 + 523*g**2. Let v(l) = 0. Calculate l.\nAnswer: -18, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 115 + -119. Let s = r - -4. Let n be (-2)\/4*(-3)\/(-3). What is the closest to -2\/7 in s, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -410*g + 644*g**2 - 2 - 5 - 2.\nAnswer: 644*g**2 - 410*g - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5057 or -5056?\nAnswer: -5056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*1*27*4141\/(-5454).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 5. Suppose 0 = 5*x + 4 + 16. Let m be v(x). Let b be -3 - ((-1 - 2) + m). Let a(g) = -5*g**2 + 2*g + 1. Give a(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*y = 18, 2*v - 3*v = 4*y - 7. Suppose 0 = j - 3 + 1, -3*p - 2*j = -4. Sort p, v, -5.\nAnswer: -5, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167501685.\nAnswer: 3, 5, 13, 431, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 42, 38, 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) -179\/125 (b) 0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 1207?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*u**4 - 39*u**4 + 2*u**3 + 1 + 0 + 2*u**3 in the form t + w*u**3 + j*u**4 + x*u**2 + v*u and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/8 + 115\/276)*-2223. Suppose -s = 25*n - 26*n - 179, 4*s + n - o = 0. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31 - -288?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/33 and 11\/267.\nAnswer: 2937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4029*f - 3997. What is j(1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 2 + 0 + 0. Suppose -8*n = -p*n. Suppose 4*o + o - 400 = n. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*n - 44 = 167*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033410319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 325 - 127. Let u = 2194\/25 - -2771\/25. Let c = n - u. Which is smaller: c or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 4*c - 6*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 379\/2163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1809691*u**3 - 19*u**2 - 61123354*u wrt u?\nAnswer: 10858146*u - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2290, -4585, -6882, -9181, -11482, -13785?\nAnswer: -16090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 469*k - 449. Give u(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 3:16 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 555?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.080040451 rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170, -745, -1722, -3101, -4882, -7065?\nAnswer: -9650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**3 - 18*d**2 + 16*d + 39. Let w be m(15). What is the greatest common factor of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2252109?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-1\/8))*a)\/a**(-1\/6) assuming a is positive.\nAnswer: a**(31\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + b - 2. Calculate u(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 + -49. Suppose 119 = v*i + 4. What is the remainder when 43 is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-85)\/(-6)*6\/(-8) and 38\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4608094 and 8766040.\nAnswer: 11846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -4*c + 24, -6 = -4*h + 3*c - 3. Solve 0 = -f - h*s + 5, 5 = f - 2*s - 0*s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 3*n - 21 = -0*n - 42, a + 8*n - 28 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 671298 and 23638.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2060 a factor of 71115320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421696 is divided by 402.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 8*c - 22. Let l(m) = -m**3 + m**2 + m - 1. Let g = 5 - 7. Let x be l(g). List the prime factors of w(x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**2*p**2 + 7*n**2*p + 1033190*n**2 + 76060600*n*p**2 - n wrt n.\nAnswer: -2*p**2 + 14*p + 2066380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12968196*u**4*w**2 - 474230*u*w**2 + 2*u*w wrt u.\nAnswer: -155618352*u**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.55 + -13.64. Put p, -4, 1\/6, -2\/11 in ascending order.\nAnswer: -4, -2\/11, p, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -16*p**2. Let u(w) = -8*w + 6. Let v(i) = -7*i + 5. Let s(l) = -5*u(l) + 6*v(l). Give s(k(t)).\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/3 and 5\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 594033 and 22?\nAnswer: 1188066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 295911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g**2. Let v(c) = -2*c**3 + 17*c**2 - 7*c - 5. Let m be v(8). Let l(i) = -5 + 14*i + 2 + m. Give l(x(u)).\nAnswer: 56*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -d - 12, 4*m + 16 = -5*d. Let l be (-1 + 2)*(3 - m). Solve -i = 5*s, -2*s = 6*i - l*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*k = -41*k - 13 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 378*u + 6040. Calculate j(-16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 1131075 and 1131074 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 135360.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1017154 is divided by 2115?\nAnswer: 1954","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9353, -9334, -9305, -9260, -9193, -9098, -8969, -8800?\nAnswer: -8585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 9:55 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 100, 352, 840, 1642, 2836?\nAnswer: 4500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*x*z**5 - 72*x*z**2 + x*z - x - 2386*z**4 + 15*z**2 wrt z?\nAnswer: -120*x*z**2 - 57264*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/19)*u**(-1\/4)*((u\/u**(-24))\/u)\/u*u**(-12) assuming u is positive.\nAnswer: u**(825\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -2*y**5\/35 - y**4\/7 + 2*y**3\/21 + 2*y**2\/7 - 17. Factor v(d).\nAnswer: -2*d*(d - 1)*(d + 1)*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -13886*c. Let h(q) = -41443*q**2. What is o(h(z))?\nAnswer: 575477498*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 7*d - 3*d - 14, 3*d - 8 = -a. Let b = 2708 - 2711. Sort b, -6, d in decreasing order.\nAnswer: d, b, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 33 = 4*x - 6*l, 27 = x - 5*l. Suppose z = -4*z + 3*t + 2744, 0 = x*z - 3*t - 1094. Calculate the greatest common divisor of 50 and z.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1700 and 3050?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15495 + 15931. What is the remainder when x is divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/161 - 1119\/644. Let i = 51\/20 + s. Factor 0*p**2 + 6\/5*p - i - 2\/5*p**3.\nAnswer: -2*(p - 1)**2*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 12:35 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-860)\/(-43))\/((-10)\/(-4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -44029*i + 220155. What is b(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 692593273 to the power of 1\/3, to the nearest integer?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**8\/15680 - l**7\/2940 - l**6\/1680 - l**4\/4 + 7*l**2. Let p(w) be the second derivative of z(w). Solve p(a) = 0 for a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 31. Give l(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -29062\nAnswer: 5\/29062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.936284 rounded to two dps?\nAnswer: -15.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -598000 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, f: 3}. Give prob of sequence ffhh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8514*2.\nAnswer: 17028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4590.9106+3\nAnswer: -4587.9106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -63, -87, -111, -135?\n\"Answer: -24*i - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17018, -34189, -51360?\nAnswer: -68531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -2*q + 4*q + 3*x, 0 = 2*q - x - 68. Suppose 5*k - 35*d + q*d - 88 = 0, 0 = 2*k + 3*d - 20. Calculate the greatest common factor of 304 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 388*b + 5044. What is r(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -744 - 852 = 19*t. Let f(p) = -17*p + 2. Let z be f(-5). Let c = z + t. Solve 7*m - 4 = c*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5539606?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-264)\/(-60))\/(20\/50)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 4) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 761*a + 696*a + 28818 = -42575 for a.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 19*y - 14. Let v be o(18). Suppose -2*m = 3*f - 1211, 2*f + 1208 = 2*m + v*f. What are the prime factors of m?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.787168 millimeters in micrometers?\nAnswer: 1787.168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8234915 divided by 1?\nAnswer: 8234915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 621027 - 315027. Round d to the nearest ten thousand.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*s - 546752 = -171202. What are the prime factors of s?\nAnswer: 5, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millimeter in micrometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 10*c = -2. Let s(z) = -6*z - 2. Determine s(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 656 = 2*z, j - 3*j - 5*z + 312 = 0. Let h = j - 58. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 66*((-9)\/15)\/((-8)\/20). Let k = -169 + a. Which is smaller: k or -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6*r. Let i(h) be the second derivative of h**4\/2 + 14*h - 4. Determine i(z(g)).\nAnswer: 216*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*n + 27*n + n**3 + (7*n**2 + 3*n**2 - 7*n**2)*(-75*n + 33*n - 49*n) as a + h*n + y*n**2 + l*n**3 and give l.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zcrzczrczrzrr. Give prob of picking 1 z and 3 r.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14708\/7 - -985555\/469. Find the common denominator of d and -85\/6.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5*f - 32, f = -f - 4*q - 16. Let z be (f\/(-8))\/(5\/20). Solve -2 = -g - 2*u - 4, z*g + 6 = 3*u for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -9*z + 3. Let u(o) = -o**2 - 8*o + 4. Calculate u(z).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -122613, -122612, -122611, -122610?\n\"Answer: g - 122614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17677, 17676, 17677, 17680, 17685?\nAnswer: 17692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 25 and 0.70578.\nAnswer: 25.70578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 y, and 1 h when four letters picked without replacement from eheehyhhheehhe?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 197607 or 197794?\nAnswer: 197794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**3\/2 - 1215*p**2\/2 + 61812*p - 61206 = 0. What is p?\nAnswer: 1, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -12. Let y be (-16)\/(-6)*l\/28. Solve y*g + 2*g**2 + 0 = 0 for g.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -5 - 1 - (6 - 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*b + 44. Let g(u) = u - 14. Let v be g(b). What is f in v*f - 197*f**2 + 192*f**2 - 8*f = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10038 - 10038.3. Let r = -1.5 + -5.5. Let h = r + 3. What is the nearest to 2 in h, w, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 133580494, 0.2, 1 in increasing order.\nAnswer: 0.2, 1, 133580494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwwddwdwddwdwwdddwww. What is prob of sequence dw?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (40\/(-3))\/(-5)*(-144)\/(-3). Suppose 2*t + 2*x = u, 132 = -t + 3*t - 2*x. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 4. Let b = n - 0. Let t = 596 + -601. Sort b, t, 3 in decreasing order.\nAnswer: 3, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 v when four letters picked without replacement from vdaadvvdada?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 399\/2 or 200?\nAnswer: 399\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2266 is divided by 2065?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -85*x**2 - 60*x + 7. Let y(r) = -57*r**2 - 40*r + 5. Let i(w) = 5*n(w) - 7*y(w). What is the second derivative of i(h) wrt h?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -4*i + 51*d - 48*d, -3*i - 5*d + 15 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 5*m + 4 = -23, -u + 3*m + 14 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 7*m - 37. Give y(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 16*y**2 + 0*y**3 + 5*y**2 - 10*y. What are the prime factors of f(12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(189)*2)\/sqrt(7))\/sqrt(9))**2 + 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 8:24 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.92 + 0.08. Let g = -9.9999875 + d. Round g to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 4*k**2 + k - 1. Let c(m) = -3*m + 1. Let h be c(-3). Calculate the remainder when -15*(3 + (-34)\/h) is divided by p(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7598 and 44167?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6481 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011110010 - -101110111?\nAnswer: -101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 5*l - 3*y, -l + 2*y = -0*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*x - 851, 3*o + 4*x = 193 + 335. Suppose 34 = 5*g + 4*p - 172, 4*g - 4*p - o = 0. Suppose -3*l = 6 - g. Solve 0 = r - 4*r + l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/1228 - -1829\/15964. Calculate the common denominator of 2\/(-3) - (-226)\/(-36) and c.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -9*l - 6*l. Suppose -3*m - 4*c + 13279 = 0, -3*c + 2*c + 4 = l. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + f = -100, -2*i + 3*f = -0*f - 50. Suppose h - 5 = 4*l, -5*h + 16*l = 12*l - i. Solve z + h = 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*c**2 - 28*c**2 + c**2 + c**2 as i + u*c**2 + t*c and give u.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 816317*r + 4343938.\nAnswer: 816317","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -4. Suppose -4 = m, -b*g + 2*m + 17 + 48 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 1585*w + 106213. Determine j(-67).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13609323.\nAnswer: 3, 7, 13, 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1510710419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17386725 to the nearest integer?\nAnswer: 4170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 5085000 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4 = -1, 0 = -o - q + 1. Suppose o*l = 3*r - 7, -5*r + 22 - 3 = 4*l. Suppose d - r*d - 4*t = -156, -d - 4*t = -68. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -432, -807, -1224, -1683?\n\"Answer: -21*h**2 - 312*h - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -17*a - 7*a - 30 + 36*a. What is the units digit of m(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h**2 + 7*h - 7*h)*(822 + 30*h - 822)*(h - h + h) to l*h**4 + t + z*h**2 + o*h**3 + a*h and give l.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 204*l**3 - 19*l**2 - 37*l + 151. Is k(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 122863, 122896, 122929, 122962?\n\"Answer: 33*n + 122830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -63 in -2\/9, 3, 8, -0.37, 1, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qy when two letters picked without replacement from qdpjwyydydpj.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166049, -165106, -164161, -163214, -162265, -161314?\nAnswer: -160361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-9)*a)\/((a\/(a*a**(-2\/23)))\/a))**(1\/29)*(a**(-1\/3)*a)**(-3)\/(a*a**(-1))**(1\/5) assuming a is positive.\nAnswer: a**(-1497\/667)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = w - 11, -3*w - 988*t - 9 = -989*t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lrlrll. Give prob of picking 2 r and 2 l.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5881647?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 40, 74, 108?\n\"Answer: 34*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 47 = 25. Let n = -18 + l. Let z(i) = -4*i + 6. Let d(b) = -3*b + 5. Suppose -4*j - j = 2*w - 5, -j = 5*w + 22. What is n*d(q) + w*z(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061346005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 312043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 24. Let k = j - -35. Calculate the remainder when k is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 - 1581 + 1581.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2441029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-106)\/(-6) + 1 + (-10)\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.990368 - 7.60036719. Let v = -0.39 + x. Round v to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (0 - (1 - 3)) - (-61 + 70)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101011011010001010 + 1000100?\nAnswer: -1101011011001000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.05, -2, 4, -101.6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1509*a**3*u - a**3 - 2*a - 1876 wrt u?\nAnswer: -1509*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2444)\/(-16) + (1 - 5)\/(-16). Suppose -8 = k - 25. What is the greatest common factor of k and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2417 at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 8:00 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -247.3626454 rounded to the nearest 10?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**2 - 80*l + 13. Let j = 11 + -8. What is the remainder when x(16) is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-4)*(0 + -12 + 0) - 5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65901?\nAnswer: 3, 11, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 171, 332, 481, 612, 719?\nAnswer: 796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**5\/30 + 3*a**2. Let x(s) = -2*s. Calculate x(f(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57262 by 28631.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 5*a + 3. Let h be q(-4). Let r(k) = k**2 - 4*k - 5. Let w be r(4). Let g = h + w. Solve 3*f - 2*f = -5*z + 21, g*f + 3 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25131911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157995?\nAnswer: 3, 5, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 114 = -2*w. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**2. Let i be j(-1). Suppose -2*x + 0*x + 25 = 5*s, 0 = x - 4*s + 7. Let a = -4 + 4. Solve -f = 4*q - 1, f + 2*f + x*q - i = a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 2.1. Let q = -19 - -18.9. What is the nearest to q in -0.2, f, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 10:00 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15623 - 17443. What is the second biggest value in 0.4, -2, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -65, -59, -39, 1, 67, 165, 301?\n\"Answer: t**3 + t**2 - 4*t - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y**2 - 11. Let d(a) be the third derivative of -a**5\/60 - a**3\/3 + 16*a**2. Let k(v) = -22*d(v) + 4*m(v). Let n(r) = -24*r. What is n(k(i))?\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/9, 1059, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mi when two letters picked without replacement from qim.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (112\/(-175))\/(3\/((-60)\/(-8))) + 1.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 6.96 (b) 3\/4 (c) 4980\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w = 9. Let o(z) = -z**2 + 5*z + 8. Let d be o(4). Let k be (-8)\/w - d\/18. Solve 4*n + 5 = t, 0 = -6*n + k*n - 5*t + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)*1*2)\/(sqrt(448)*-1))**2 + -2*(sqrt(91)*1 - sqrt(91) - sqrt(91))\/sqrt(7) + -5.\nAnswer: -67\/16 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 6 = 6*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 0*q + 0*q**5 + 0*q**2 + 16\/7*q**7 + 0*q**6 - 25\/3*q**3 + 17 + 0*q**4. Find the third derivative of h(g) wrt g.\nAnswer: 1920*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 1. Let a(z) = -34*z + 45. Let d(h) = -a(h) - 2*l(h). What is the units digit of d(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2. Let x(h) = -3*h**2. Let s(y) = 5*i(y) + 2*x(y). Let n(t) be the first derivative of t**2 - 1 + 0*t**2 + 0. What is s(n(r))?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -24?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*g = -964, 3*x + 493*g = 489*g + 1450. Calculate the lowest common multiple of 972 and x.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 0. Let u be (-9)\/(-4) - y\/8. Suppose -2*z = -3*t + u, -t + 14 = -3*z + 5*z. Solve -2*x + z = -i, 4*x - 11 = -2*i + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n - 1. Suppose 4*t = 3*t + 3. Let a be v(t). Factor -2*p + a*p**2 + 30 - 30.\nAnswer: 2*p*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1156 + 1210. What is the remainder when 199 is divided by p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19\/2? (a) 3\/5 (b) 0.9 (c) -7 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7 at most -0.17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 7 = 3*t - 22, -2*t + 10 = 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/2722588 and -55\/4702652.\nAnswer: 51729172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133535041.\nAnswer: 133535041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3094303 + 3093847.9753. Let j = -454.9388 - 0.0612. Let g = t - j. Round g to 3 dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 2:01 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/48 or -2?\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 1:07 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 14 = 0, 5806*d - 13 = 5801*d - z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 20 + 14 = -4*v, 5*v = -5*x - 55 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (15\/9)\/(-5)*(3 + -24) and 219\/(-146) - 10*21\/(-4)?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30432211 to the nearest integer?\nAnswer: 5517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 9. Let l be w(-9). Let b(j) = 0 + j + 1 + 3. Determine b(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i**3 - 2*i**3 + 0*i**3)*(-3 + 4 - 3) + 5*i**3 - 5*i**3 + i**3 + 4527*i - 4527*i + 2055*i**3 to the form x*i**3 + p*i + f + w*i**2 and give x.\nAnswer: 2058","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 861, 923, 1015, 1149, 1337, 1591, 1923?\nAnswer: 2345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 608.5478cm to nanometers.\nAnswer: 6085478000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 4 (c) -0.033258219\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 12:39 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -1009*l - 7058. Let f be o(-7). Sort -4, -10, f, 24 in descending order.\nAnswer: 24, f, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-492)\/9*85\/((-6800)\/60)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1064 and 11400.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 205\/65 - (-178)\/26. Let y(j) be the first derivative of j**2\/2 - 3*j - 3. Let w be y(7). Solve 3*c - r = -4*d, 2*d + 4*c = -0*d - w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(0 - 1)*(-291940)\/44 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/((u\/(u\/u**(1\/15)))\/u)*u\/(u*u**9) assuming u is positive.\nAnswer: u**(-106\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4 + 8 = 0. Let o(g) = -g + 2. Let h be o(x). What is the tens digit of (4\/h)\/((-6)\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/88*8\/18*-1.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**2\/z)\/z)**(9\/4))**(-2\/9)\/(((z**(1\/4)\/z)\/z)**(-10)\/((z\/(z**(-1)\/z))\/z)**(1\/46)) assuming z is positive.\nAnswer: z**(-803\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 71*n**3 - 8*n**2 + n + 2. Let f be t(3). Suppose f = 4*c + 5*y, 3*c - y + 3*y = 1384. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 1\/552?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 903\/(-129) + -6 + 4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 60*v**2 + 4*v - 1. Let j be o(-1). Let h = j + -109\/2. Which is the biggest value? (a) 4 (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 945 + -7557\/8. Let l(w) be the third derivative of -i*w**4 + 0 + 0*w**3 - 8*w**2 + 0*w. Let t(b) = 2*b**2. Calculate t(l(s)).\nAnswer: 162*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.047 or -1497?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 - a**3 - 4*a**2 + 4*a.\nAnswer: a*(a - 2)*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 0*z**3 + 2*z - 2*z**2 + 1\/4*z**4 + 0. Is l(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26414\/102 - 48\/(-1224) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15780520 and 1680?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.5 + -1.9. Let s = m + 0.4. Which is the second biggest value? (a) s (b) 4 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/3454319 and 32\/80333.\nAnswer: 3454319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3328189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/16 - (-2380)\/(-80)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-41)\/(-4) + 6\/8. Let b = y - 5. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 1)*(-1367*o - 1091*o + 2061*o).\nAnswer: -1191*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7397, 7400, 7391, 7370, 7337?\nAnswer: 7292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**5\/30 - 17*d**4\/12 + 6*d**3 - 1028*d**2. Solve z(m) = 0 for m.\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1125, 1459, 1793, 2127, 2461, 2795?\nAnswer: 3129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 4.55078.\nAnswer: -0.455078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**3 + 20*t**2 - 17*t + 18. Let y be u(8). Suppose r + 18 - 62 = -b, -4*b + 180 = 2*r. Calculate the greatest common factor of y and b.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 129 * 6\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1367 divided by 9173?\nAnswer: -1367\/9173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4444060479 - -4393?\nAnswer: -4444056086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 times -0.4?\nAnswer: 30.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.043945333 rounded to five decimal places?\nAnswer: -0.04395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (104\/117)\/((-6)\/(-27)). Let z be (2 - 2) + -1 + (-6)\/3. Let d be (-1 - 0)\/(z\/27). Solve 2*n + d - 29 = -5*r, -16 = -3*n - g*r for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21417 + 21369. Is -2\/3 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372\/2 + (-4 + -5 - -14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**4 - 75178*d**3 - 1886035788*d**2 - 15842967599846*d - 1333071753907235 = 0.\nAnswer: -25031, -85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/(-16)*((-1)\/(-7) - 0).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 - (11 + -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -340, -339, -338, -337, -336?\n\"Answer: d - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, p: 1, n: 1, i: 6, b: 2}. Give prob of sequence bnbi.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -18, -4, 0, -61, 8 in increasing order.\nAnswer: -61, -18, -4, 0, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + -6*-3*sqrt(204) + -6*(sqrt(204) + -1*sqrt(204) + sqrt(204)))\/((sqrt(60) + sqrt(540)\/sqrt(144))\/(1*sqrt(605) + sqrt(5))).\nAnswer: 624*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -316.3323 to zero dps.\nAnswer: -316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1143586 to three decimal places.\nAnswer: -0.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 130 - 3144505?\nAnswer: -3144335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4 = -1. Suppose 0*i + i - 37 = -2*n, -y*n - 102 = -3*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 8*y + 1. Let f = 14 + -8. What is the tens digit of c(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2 = 5*w, -w + i + 4 = -0*i. Suppose -w*c - 2*s + 130 = 0, -5*s = -c + 13 + 34. Does 24 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -199802919 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*c, -410 = 26*z - 31*z + c. Which is smaller: z or 86?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 295179 and 3111?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1163 + 1185. Calculate the greatest common factor of z and 506.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45051*u - 264*u**3 - 45051*u)*(-u - 2 + 2 + (-1 + 1 + 2)*(0*u - u + 2*u) + u - 5 + 4 + u).\nAnswer: -792*u**4 + 264*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p. Let v = -1 + 3. Let k = v + 0. Let i(h) = -h**2 + 2*h**2 + h**k. What is b(i(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*j = -20*j - 1287852. What is the thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 5*i - 2. Let l be t(-5). Let h = l - -4. Suppose z + 19 = h*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 17 + 53)*(-6 - 2 + 2)*(-5*j + 5*j + j)*(5*j**3 - 3*j**3 + 0*j**3).\nAnswer: -744*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 50831.9 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(3\/5)\/d))\/(d\/d**22) assuming d is positive.\nAnswer: d**(112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) -0.2 (c) 1\/29 (d) -5\/2 (e) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 912123516?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 132\/8*(-6)\/(-9). Let s = d + -10. Solve 2*v = -s - 7 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1258*h + 5923*h + 5525*h + 3362*h to j*h + q and give j.\nAnswer: 16068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = q. Suppose n + q*n - 2 = 0. Let b be (-15)\/(n\/(-4) + -1). What is the highest common factor of 90 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**2 + 120052*j - 114616080 = 0.\nAnswer: -60966, 940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 20 - 40 = 0. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 860*h**2 - 75*h - 315. Is p(-6) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(5) + 2*sqrt(5)) - (1*sqrt(539) - sqrt(539))**2.\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 81 = y - 27, -3*r - 12 = 0. Let a be ((-114)\/(-14))\/(2\/y). Let q = a + 155. What is the smallest value in q, 2\/9, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -101*w**2 + 30*w + 19. Let g be k(8). Let u = g + 15415. What is u rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 829, 374, 6, -3.\nAnswer: -3, 6, 374, 829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 8*q**2 + 2*q + 11. Let t be o(-8). Let p be (4\/6*-3)\/2. Let b = 0 + p. What is the closest to b in 1, 2, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2493, -2432, -2329, -2190, -2021?\n\"Answer: -j**3 + 27*j**2 - 13*j - 2506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 13. Suppose 5*y + 5*r + d = -13, 0 = 5*r + 15. Sort y, 2, 5 in ascending order.\nAnswer: y, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - 26) + (4 - 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 27. Suppose 0 = 3*a - v*a. Suppose a = 2*t + 4*p + 3 - 99, p = -2*t + 102. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/120922322 and 89\/14.\nAnswer: 846456254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 627190572 to the nearest integer?\nAnswer: 25044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/25 in 4\/3, 0.5, -0.1, -2\/1063?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1814.2 rounded to the nearest ten?\nAnswer: 1810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1736*d = 649*d + 11957 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-15) + (-4)\/(-20). Let d(i) = -1 + i + q - 5. Let g be d(0). Is g less than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1628727754.\nAnswer: 2, 29, 47, 439, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(153) + sqrt(153) + -2 - -1*sqrt(425)*-2)**2.\nAnswer: 56*sqrt(17) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 5*g**2 - g. Let l = 3 - 4. Let d be l\/((-3)\/30*2). Suppose -d*p - 3 = 22. Calculate h(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 14) in base 3?\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.24 - -2.24. Let k = -4.24 + -0.76. What is the nearest to a in 0.07, k, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4520298373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/(-60)*(-2125)\/(-850)*128\/(-3)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (1 + 11 + 6 + -7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (170\/136)\/(1\/4*1). Solve -y*x + 5 = -0*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(50\/15) + (-1250)\/(-4). Suppose 5*v + 399 = -c. Let j = -53 - v. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.49, 0.5, 4, 2, -0.03, -26220?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1876 + 1876.4. Put -90, -2\/3, f in descending order.\nAnswer: f, -2\/3, -90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -524.68 + -20.32. Is 3 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34.936*-0.6.\nAnswer: -20.9616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 32085\/(-13)*2\/(-264). Let p = 5263845\/286 + -18405. Let d = n + p. Find the common denominator of d and 49\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(630)*-3)\/sqrt(10))**2 - sqrt(63)) + sqrt(63) + -3*sqrt(63)*6 + -1.\nAnswer: -54*sqrt(7) + 566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.4 + 1.4. What is the closest to m in 1\/4, 2, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188900 rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 0 - 6*i**2 + 10 - 16. Give q(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*r - 5 = -r, -u + r - 8 = 0. Let q(x) = x**2 - x - 2. Let c be q(u). Let b = c + 3. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 25327, 25353, 25379, 25405?\n\"Answer: 26*f + 25301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 76163246?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(144)\/(sqrt(12) + (sqrt(12) - (-1*sqrt(12) - sqrt(12))) + sqrt(12))) + 4*(sqrt(17) - sqrt(34)\/sqrt(2)*-5).\nAnswer: 29*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 374*h**3\/3 - 259*h**2 + 1117. Find the second derivative of f(t) wrt t.\nAnswer: 748","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**7\/15 - 227*v**3\/3 + 201*v**2. Find the first derivative of y(r) wrt r.\nAnswer: -56*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165, -167, -177, -201, -245?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2 = -2*t, 2*t - 2*w + 3 = 3*t. Let u be (1 - 21) + -6 - (-5 - t). Let h be 0\/(-6 + 3) - 2. What is the smallest value in h, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -29. Let q = -3 + 6. Let y be (0 + 3)*(q + -2). Solve 3*o - r = -y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/8 of a week in hours?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 3*f - 3*f + 0*f + 0*f + 17.\nAnswer: -2*f + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t - 28*t = -960. Let n = 0 + 16. Calculate the least common multiple of n and t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42240 divided by -6?\nAnswer: -7040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/11)\/c)**(-45)*c**(2\/25)*c**11)**(2\/9) assuming c is positive.\nAnswer: c**(26344\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.198 - 7.768. Let s = 6.87 + o. Which is the second biggest value? (a) s (b) 1 (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -6*u + 1. Suppose -2*o + 8 + 0 = 5*w, 2*o + 6 = 2*w. What is t(w)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 304\/(-14) + (-10)\/35. Let h = t + 23. Is 5 a factor of 0 + -3 + h - -26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**5\/20 + 7*c**4\/12 + 5*c**3\/3 + 4*c**2 + 1756*c. What is r(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-131 - 16 - 34)*(2*q**4 + 3*q**4 - 6*q**4) + 1 - 504*q**4 + 1018*q**4 - 511*q**4 + 2*q.\nAnswer: 184*q**4 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p + 6. Let h be u(-5). What is the units digit of -2 - (4 + -5) - h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 4:50 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/33 - 0)*4\/2.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (32\/2)\/16*(-15)\/(-3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 363558509459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 8*v**2 - 3*v + 26. Let m be u(8). Let p(d) be the first derivative of 5*d**2 - 4*d - 1. Is 8 a factor of p(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 0.5 (c) -2\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - u - 7. Determine a(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6700 + -6700.0006551. Round i to five dps.\nAnswer: -0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 22*v**2 - 17*v - 69. Determine q(21).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from lullullll.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -834 + 585. Let q be (1713\/3)\/1 - -3. Let x = y + q. Does 25 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 1. Suppose 4*y + 4*q = -24, 5*q - 4*q = y + 6. Let d(v) = -5*v + 6. Give y*l(a) + d(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -2 (c) -2\/13 (d) -1\/5 (e) 0.4 (f) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-2))\/(5 - 4). Let u = t - 3. Are u and -5 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*b - 4 - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h + h + 3*h + (-3 - 2*h + 3)*(6 + 405 + 597) as n*h + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (150*g + 32*g - 46*g)*(-4*g**3 - g**4 + 3*g**4 + 3*g**3).\nAnswer: 272*g**5 - 136*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311841.\nAnswer: 3, 34649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 34059.14 millennia?\nAnswer: 34059140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**5 - c**5 + c**5 + 3*c**5 - 4*c**5 - c**5 + (2*c**2 + 2*c**2 - 2*c**2)*(2*c**3 + 3 - 3) - 2*c**5 + 3*c**5 - 3*c**5 - 41*c**3 + 41*c**3 + 6*c**5.\nAnswer: 5*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -45, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 153260 (base 8) to base 7\nAnswer: 316143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4950 divided by -30.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 - 109 = q, f - 5*q - 135 = 0. Calculate the remainder when 587 is divided by f.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 + -2 + 39 + 3 + -36.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 5 + -9 + (-66)\/(-11) - (1 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 9. Let i be 389 - (1 - (5 + y)). Suppose -4*f + 2*f = p - 97, 5*f + i = 4*p. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m + 15. Let f(t) = 2*t - 10. Let w(g) = 7*f(g) + 5*l(g). Let o(x) = 4. Let v(c) = 4*o(c) - 3*w(c). What are the prime factors of v(7)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-15))\/(106\/1749)*-5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glge when four letters picked without replacement from glsresgv?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 505738997 to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.6 = 297707064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 40079 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: What is the fifth biggest value in -5, 2, 10.3, 0.4, -2, -1\/26?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 5*s**4\/6 + 4565*s**3\/6 + 1140*s**2 + 3528*s. Factor l(g).\nAnswer: 5*(g + 456)*(2*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -1, -3194\/619?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 8 - 46 = -5*j, 0 = 4*j + 5*q - 50. What is the smallest common multiple of 246 and j?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -47*g - 3104. What is w(-80)?\nAnswer: 656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/((-15)\/72))\/(-2). Suppose 0 = v*m - 4*m - 120. Suppose -4*f = -5*b - f + 235, 3*f = m. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 6 + -16 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17228 and 413?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7654153*f*p*v**3 - p*v**2 - p*v + 8*v**3 + 20*v - 898 wrt f?\nAnswer: 7654153*p*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 246631467*m**3\/4 + 84332167*m**2\/4 + 711789*m\/4 + 1521\/4.\nAnswer: (3*m + 1)*(9067*m + 39)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*s + 204*s - 414*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 19*r + 18 = 0. What is the least common multiple of r and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 17 + 4*p**3 - 20*p**2 - 3*p**3 + 19*p**2 - 4 + 3. Let m(s) = -2*s**3 + 2*s**2 - 31. Let c(j) = -3*m(j) - 7*z(j). Let d = -1 - -1. Calculate c(d).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*t = 6*p - 3, -p + 4*t = -15. Calculate the remainder when 3 is divided by p + 1 + 2 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfrf when four letters picked without replacement from fbrrf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.08 + -15. Let w = -0.78 + i. Let z = -111 - -107. Which is the second biggest value? (a) z (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3 + -1 + (3 + sqrt(704)*-2 - sqrt(704)).\nAnswer: -24*sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 20056298.819?\nAnswer: 20056303.819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 22. Let u = b - 5. What is the second smallest value in u, 3\/4, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(3*(-5)\/105). Let u = 38 + d. Calculate the remainder when 32 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**3\/4 - 380066635*t**2\/4 + 1805633040494460*t + 1805633135511120 = 0. What is t?\nAnswer: -1, 38006664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2488 to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -324432479*j**3 + 889246267*j wrt j.\nAnswer: -1946594874*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + p + 7. Suppose u + 4*k + 0*k = 12, -4*u = k - 18. Let i = u + -4. Is w(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**5\/5 - 23*n**4\/4 + 80*n**3\/3 - 38*n**2 + 526. Let l(y) = 0. Calculate y.\nAnswer: 0, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 10 (b) 3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -126.02 + -6485075?\nAnswer: -6485201.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3840*v + 2145*v + 5763*v - 281952 = 0 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 7.611 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 270544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ej when two letters picked without replacement from {j: 1, e: 1, a: 2, g: 1, r: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 107 = 2*p - 99, 10*p - 14*p + 35 = 9*a for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -16*k**3 - 4*k**2 - 16*k - 15. Let y(i) = -3*i**3 - i**2 - 3*i - 3. Let u = 10023 + -10012. Determine u*y(p) - 2*d(p).\nAnswer: -p**3 - 3*p**2 - p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -379456*n**5 - 4*n**3*r**2 + 1029*n*r**2 + r**2 - 2*r + 79 wrt n.\nAnswer: -7589120*n**3 - 24*n*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8.9411 in 2\/3, -1\/2, -2, -0.25, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1010 - -103011?\nAnswer: 104021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361311?\nAnswer: 3, 29, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -4*l + 232, 0 = -5*h + 31*l - 2194 + 2016 for h.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2c4 (base 13) to base 5\nAnswer: -3443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 660445 divided by 5\nAnswer: 132089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) 2\/3 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -113642*n**3 - 42*n**2 - 3 + 113633*n**3 - 2*n + 3 to the form t*n + l*n**3 + f*n**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 3*f + 619. Let b be j(0). Suppose -3*n + 369 = 3*p, -5*n - 6*p = -2*p - b. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134955 is divided by 43992.\nAnswer: 2979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 25, 52, 111, 214, 373, 600, 907?\n\"Answer: 2*k**3 + 4*k**2 + k + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35378 - -98781. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(24) + 5*sqrt(216))*2)\/(sqrt(1152)*1*-4*-4)*3.\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5269*z - 89566. Give r(17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l - 4. Let f(b) = -2*b + 5. Let n = 56 + -80. Let m be -2 + 4 + n\/6. Give m*f(p) - 3*k(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/9810504 and -83\/576?\nAnswer: 78484032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 357, 842, 1521, 2394, 3461, 4722?\nAnswer: 6177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*b = 132*b + 6455. Let h = b - -1422. Calculate the remainder when h is divided by (-2)\/8 + (-109)\/(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 131 - 107 = -2*b, -5*b + 628 = -4*p. Is b\/6 + 2\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -302*m**2. Let c(j) = -13836*j. Determine o(c(n)).\nAnswer: -57813338592*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2217*((-14)\/(-49))\/(3\/28)?\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -193 - -194. Let n be (-56386)\/(-231) + 4\/(-42). Is n < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 346 = -4*k - 342, k - b + 8 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 23*r**5\/60 + 10*r**2 - 4. Let w(x) = -12*x**2. Let f(p) = -4*d(p) - 7*w(p). Let g(t) = -12*t**2. What is f(g(l))?\nAnswer: -1152*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*l - 13*l - 6*l - 8*l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 3 - 9. Suppose 30 = 5*y - f, s*f = -3*y + 5*y - 4. Suppose 2*z + 2*j = y*j + 22, 2*z - 24 = 4*j. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1251131077 rounded to five decimal places?\nAnswer: -0.12511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 + -68. Suppose 15 = o*r + z, 6*r + 24 = 11*r - 4*z. Calculate the remainder when 21 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15055611 is divided by 267?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.59076*-0.088.\nAnswer: -0.13998688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(32)\/sqrt(8))\/(sqrt(22)\/(-5*sqrt(11)))*6.\nAnswer: -60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f + 9815. Let t(d) = d - 2445. What is -4*o(x) - 15*t(x)?\nAnswer: 5*x - 2585","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**6\/30 + h**5\/10 + h**4\/4 - 2*h**3\/3 - 2*h**2 + 12*h. Factor s(f).\nAnswer: -(f - 2)**2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4415 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4\/3 + 12*z**3 + 18838*z**2\/3 + 204600*z + 595000\/3 = 0. Calculate z.\nAnswer: -50, -1, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*1\/(-387)*44\/55*5130\/5472?\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2117648831 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -280 + 232. Solve -k - 1 = -x for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**5\/3 - 46*i**4\/3 - 2686*i**3\/3 + 38414*i**2\/3 - 68596*i\/3 + 32912\/3 = 0 for i.\nAnswer: -34, 1, 11, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3*(-3 + 6 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 2*n + 2. Let l be y(2). Suppose -l*w + 49711 = 5*a + 2*w, 0 = 3*a + 2*w - 29827. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of v**3\/3 - v**2 - 2*v - 31. Let u(d) = d**3 - 4*d**2 + 2*d. Let h be u(3). What is s(h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 122, -2\/9, -0.4.\nAnswer: -0.4, -2\/9, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -124 + 111. Let t = m + 17. Factor 3*l + 8*l + t*l**2 - l - 2*l.\nAnswer: 4*l*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 10:15 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -41 - 22*s**4 + 5826*s - 66 - 5826*s + 6 + 2*s**3 as q + p*s**4 + x*s + o*s**2 + f*s**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 36*y + 3. Let h be a(36). Suppose h*s - 193 = -115. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130468832 and 101170.\nAnswer: 652344160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 7*d**2 + 17*d + 1. Let w be u(-9). Is (w + -8)*(-33608)\/(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -205. Suppose 0 = -4*z + z + o. Suppose -z = -3*g + 67. Is 20 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5 - 3. Let t be x - 2*-1 - (-6 - -9). Which is bigger: t or -7\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*i = 41*i + 61*i - 81. Solve i*g + l = 7, 0*l = 5*l - 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 9*r**3 + 6*r**2 + 12. Let b(q) = -10*q**3 - 5*q**2 - 13. Let w(y) = -6*b(y) - 5*f(y). Differentiate w(z) with respect to z.\nAnswer: 45*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 2 = -y + 3, 0 = y + 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 - -1527703?\nAnswer: 1527714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18887232 divided by 19552.\nAnswer: -966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 6. Let o be f(-7). Let y be (-5285)\/20*1052\/o. Let c = 487991 - y. Round c to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 - 9266136*y + 9266136*y.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*y + 100, 0 = -4*z - z - 5*y - 225. Let u = z - -48. What is the second derivative of -8*b**2 + 11*b - b - u*b**2 wrt b?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b - 1. Let r be p(-1). Let g = 10 - 6. What is the closest to r in -0.2, 1\/10, g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -0.0851455363656?\nAnswer: 3.9148544636344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 bigger than 217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8)\/(-12) + (-219)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 25, -1783, -16, 5 in increasing order.\nAnswer: -1783, -16, 3\/5, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.61 - -0.21. Let t = -2 + 1.9. Sort t, a, -3 in descending order.\nAnswer: t, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -97. Calculate the highest common divisor of v and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.5 - -10.5. Let c = j - -2. What is the third smallest value in 0.3, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/2691342 and -14\/99?\nAnswer: 29604762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aypaapyaaapappp. What is prob of picking 1 a and 2 p?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -961, -555, 79, 935, 2007, 3289, 4775, 6459?\nAnswer: 8335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148 = 23*n + 332 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 671471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*x + 2095 + 3219 + 2398 = -5536 for x.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13*5\/60*-3?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1 - 118*w**2 - w**3 + 118*w**2 + 2*w. Let c be l(2). Is (-1598)\/(-3) - (c\/(-9))\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 n when four letters picked without replacement from fnfnff.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x - 221*x + 4963 + 15638 = 6388 for x.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12\/7 + -94\/63. Do 0 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 0 (c) -576 (d) 0.2791 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 1. Let m be x(5). Suppose 2*o - 4*o = -m. Solve 3*a + 8 = -n, -4*a = -4*n - 3 - o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from myymyyy. Give prob of sequence ym.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 13. Let o(m) = -2*m - 6. Let t be o(-8). Let f be k(t). Suppose f*h = 5 + 28. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h**2 + 150*h - 443. What is s(3)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2501\/715 + 45\/13. Let k(m) = 2*m**2 + 24*m + 3. Let y be k(-12). Let i be (-16)\/(-36) - ((-8)\/y - -3). What is the second biggest value in z, 3\/4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 33*w - 9. Let j be n(4). Suppose -2*h = -j - 71. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1702 divided by -23\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 10) to base 7\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 8)*(3*x - 2*x - 2*x).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13285, -13281, -13275, -13267, -13257?\nAnswer: -13245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335108 is divided by 5632?\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 149*v**3 - 1492*v + 183*v**3 + 854*v + 638*v + 2.\nAnswer: 34*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 5*x - 16. Let o = -523 + 977. Let w = o - 390. What is the greatest common factor of w and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 11:01 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1347 divided by -83703?\nAnswer: 449\/27901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -469*y - 8607 + 10483 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -529 - -819. Calculate the remainder when u is divided by 73.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 114847*r**3 + 127262*r**2 wrt r?\nAnswer: 689082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (-2)\/2 + 2. Suppose s = -5*u + 2*u + 21. Suppose 0 = -5*n + 4*w + 3, -2*n - 9 = 4*w - 9*w. Solve 4*b = -h + 13, -2*h + u + n = 4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 228447 and 126.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -104 - -4531463?\nAnswer: 4531357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 3, c: 1, t: 2, b: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 893*r - 116. Let g be p(4). Suppose 0 = 22*w - g - 1120. Calculate the highest common factor of w and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**2*k**2 + 2*b**2*k - 3918*b*h*k**2 + 5*b*h*k - 2*h*k + 2*k wrt k.\nAnswer: -4*b**2 - 7836*b*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -5, -2\/29, 4\/5?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (74 + -1)*1. Let h(y) = -235*y + 30622. Let p be h(130). Which is greater: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z**4 + 220*z**3 - 3214*z**2 + 900*z = 0. Calculate z.\nAnswer: -25, 0, 2\/7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -5*i**4\/6 - i**3\/3 + 17*i. Let d(x) = -x. Let z(n) = 5*d(n) - j(n). Find the second derivative of z(q) wrt q.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12316934 to the nearest integer?\nAnswer: 3510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 9 - (6 + -37 - -20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**9\/252 - 11*a**6\/60 - 9*a**5\/20 + a**4\/12 + 69*a**2. What is the third derivative of s(c) wrt c?\nAnswer: -240*c**3 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 0.006\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 47*g**9\/126 - 17*g**5\/30 - g**4\/8 - 20*g**2 + 1. Find the third derivative of f(d) wrt d.\nAnswer: 22560*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 653190.5 days to minutes.\nAnswer: 940594320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -6*k**2 - 87*k + 18. Determine v(-14).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 54 + 15 = 0. What is the remainder when h is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2143, -1\/7, 417?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**2*x**2 - 19*a**2*x - 4*a*x - 9*a + x**2 wrt a.\nAnswer: -4*x**2 - 38*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 1:12 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 4*w + 1. Let l(r) = 3*r - 3. Let a be l(2). Determine q(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.7 - -16.7. What is the third smallest value in -4, h, 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -893*v**4 - 19*v**2 - v*z**2 - v + 7752375*z**2 wrt v?\nAnswer: -3572*v**3 - 38*v - z**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from ntbtnntntn.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*f = -8*f + 368 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + s = -75. Let h be 0\/(-3 + 4 + 3). Solve q - 6*q + s = h for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 2145*r**2 - 1118396*r - 2490. What is y(-1251)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*b**3*y + 49*b + 7*y wrt b.\nAnswer: -90*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/2)*h*(h*h*h**(-1\/7)*h)\/h)\/((h*h**(-1))\/(h*h**(-3\/2)))*((h\/(h*h**(1\/2)\/h*h))\/(h**(1\/5)*h*h))**(-29) assuming h is positive.\nAnswer: h**(5681\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3164 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 45*b**3 + 4 - 2*b**2 - 2*b**2 - 4*b - 46*b**3. Let y be o(-4). Let d be (8\/(-14))\/(y\/(-14)). What is the second biggest value in d, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72356, 144665, 216974, 289283, 361592?\nAnswer: 433901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 z, and 1 k when four letters picked without replacement from zozklpol?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*r - 5580 = 349*r for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 1. Let m(l) = 6*l**4 - 21*l**2 - 18. Let t(r) = -2*m(r) + 42*p(r). What is the derivative of t(w) wrt w?\nAnswer: -48*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -434250967\/1110 - -391217. Let h = -6\/227 - 232\/8399. Let m = v - h. Which is greater: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(-4 - 2 + 5 + (2 - 5 + 1)*(1 + 5 - 5) + 0 - 4 + 3)*(-38*y - 30*y + 5*y).\nAnswer: -252*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34599\/45 - (-28)\/210 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -9*o**3 + o**2 + 2*o. Let t be r(-2). Let a be t\/(-16)*8\/6. Is a > -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/3 - 17000*q**2\/3 - 36175946*q\/3 - 72148036.\nAnswer: -2*(q + 6)*(q + 4247)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60439655 is divided by 1239.\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 8\/5, -7, 0.08, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3603 and 178918975?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*f**5\/5 - 76*f**4\/5 - 2096*f**3\/5 - 272*f**2 = 0. What is f?\nAnswer: -10, -2\/3, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -5*y + 15, -6*n - 2759 + 2799 = 2*n - 2*y for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(3\/19)*h\/(h**(-3\/14)\/h*h*h)*h*h**2*h*h\/h**(11\/2) assuming h is positive.\nAnswer: h**(74\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.07 + 0.07. Let f be (18\/(-21))\/((-10)\/14). Sort x, 5, f in descending order.\nAnswer: 5, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*p**2*y**2 + 3161*p**2 - 4860*y**2 - 45*y wrt y.\nAnswer: 48*p**2 - 9720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 19\/(-76) + 62\/(-8). Let b be (-2)\/v + 42\/56. Let l be (5\/(-10))\/(10\/4). Do b and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 1:31 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 5:12 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -65 + (9 - 29) + (-308)\/(-22).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by ((1 + 27)\/2)\/(482\/3133)?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*d + 10, d - 5*k - 15 = -2*k. Suppose 5*p + 4*m - 21771 - 12984 = d, 4*m = 2*p - 13874. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = o, 2*o + 4 = -w + 15. Suppose 2*h + 1 = w*h, 4*h = -q + 7. Find the third derivative of 15*d**2 - 6*d**q - 5*d**2 - 7*d**2 wrt d.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76245218.\nAnswer: 2, 7, 257, 21191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/12 + 16\/64\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 318, 457, 838, 1581, 2806, 4633, 7182?\n\"Answer: 20*o**3 + o**2 - 4*o + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -165104*a**2. Let d(o) = -2*o. Calculate y(d(q)).\nAnswer: -660416*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1629853854 to the nearest integer?\nAnswer: 1177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 745820 and 3560?\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.039553376 to 3 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.267381 and 3?\nAnswer: 9.802143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(4\/13))**(-7\/11)*v**(-18)\/(v*v**(2\/41)) assuming v is positive.\nAnswer: v**(-114266\/5863)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3864, -7726, -11588?\n\"Answer: -3862*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1091121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 87624, 87623, 87622, 87621?\n\"Answer: -w + 87625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 75 * -578525.\nAnswer: -43389375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3) - (-42)\/18. Let n(w) = w**3 - w**2. Let x be n(2). Suppose x*d - d - q = 0. Is -1 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 - 13 + d**2 - 5*d + 8*d)*(21 + 4*d**3 - 21) + (d**3 - d**3 - 2*d**4)*(1 + 2*d - 1).\nAnswer: -12*d**5 + 12*d**4 - 52*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 27. Let c be (g + (-4)\/(-5))\/(4\/(-30)). Is ((-338)\/3)\/(4\/c) + -2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 30*n + 33*n - 14169, 4*n = -2*u + 7082. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q + 0*q + q + (3 - 6 + 1)*(-q + 4 - 4) + 3*q - 23*q + q.\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1, -27, -75, -143?\n\"Answer: -10*n**2 + 2*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21201 (base 3) in base 9?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.152901 - 5?\nAnswer: -3.847099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -40, -68, -96?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g - 2*g - 2*g**2 + (4*g - 5*g + 3*g)*(-g + 3*g - 4*g) - 24*g**2 - 11*g**2 - 8*g**2.\nAnswer: -49*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 6. Suppose x = -i - 4*g - 1, -i - 1 = -0*i + g. Is -2\/11 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -153 - 45?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0151905913 rounded to 5 dps?\nAnswer: 0.01519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of t**2\/2 - 3*t - 1. Let p be b(7). Suppose j - 3*j + p*d + 70 = 0, j = d + 35. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6975*z = -1621*z + 257736 - 876648 for z.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53657903?\nAnswer: 13, 313, 13187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -4*a + 25251, -4*a - 5*d + 2*d + 25253 = 0. Suppose 0 = 4*h - h - 5*n - a, 5*n + 8422 = 4*h. What are the prime factors of (2\/(-4))\/((-17)\/h)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**12*z)**(2\/17) assuming z is positive.\nAnswer: z**(28\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/2475, -9, -1, 3\/5, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -385 at most -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + (sqrt(108) + -4)*4 - (-6*(sqrt(108) - (0 + sqrt(108))) + 3)) + 1)**2.\nAnswer: -14400*sqrt(3) + 33273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*m = -5, 2*m + 13 = 5*g - m. Suppose 0 = 5*x, 10*q - g*q - 5*x + 30 = 0. Let i = -4 - q. Calculate the remainder when i is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/3*(7 + -7). Let i = -62\/15 - -2527\/615. Which is greater: b or i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -592, -1177, -1762, -2347, -2932, -3517?\nAnswer: -4102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -492 - -491.99999892. Round t to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**3 + 282265*n**2 - 19197488*n + 326376948 = 0.\nAnswer: -282333, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -740 + 742. Let r = 8 - 11. Sort -1\/4, r, k in decreasing order.\nAnswer: k, -1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**8\/28 - 2*z**7\/5 - 73*z**6\/40 - 43*z**5\/10 - 11*z**4\/2 - 4*z**3 + 27*z**2. Factor p(o).\nAnswer: -3*(o + 2)**3*(2*o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317130 divided by 2?\nAnswer: 158565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/3040 and -61\/304.\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 (base 8) in base 15?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*r. Suppose a = r, 4*a = 2*u - 6*u. Suppose u = -3*c - 2*c + 95. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*i - 1\/3*i**2 + 1\/3 - 1\/3*i**3.\nAnswer: -(i - 1)*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -151723 or -153285?\nAnswer: -151723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/35 (b) -2 (c) -1 (d) 156 (e) -43.4 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 - -51. Calculate the greatest common divisor of h and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -422, -508, -594, -680?\n\"Answer: -86*j - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, c: 5, i: 2, h: 3, p: 4, m: 1}. What is prob of picking 1 i, 1 m, and 2 c?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 6:39 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000901975545 rounded to 5 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of b**5\/20 - 11*b**4\/24 + b**3\/3 - 2. Let r(i) be the third derivative of z(i). Is r(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25287 to the power of 1\/2, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 969 is divided by 49.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15 + -8 + -6)*311\/1. What is the third derivative of 6*k**4 + 3*k**3 + h*k - 133*k**2 - 311*k wrt k?\nAnswer: 144*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45\/4 + 503\/44. What is the second smallest value in 4, y, 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 6*u = 35*u. Let m(x) be the first derivative of 3 + 2\/3*x**3 + u*x**4 + 0*x - x**5 + 0*x**2. What is the third derivative of m(s) wrt s?\nAnswer: -120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*d + 43 = 2*h, 6 = -2*h + 5*d. Let o = -12 + h. Is 4*37 - (-2 - o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 24 = 2*q - 3*q, -2*k - q = -16. What is the smallest common multiple of ((-16)\/28 + 48\/(-56))\/((-2)\/7) and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3486 is divided by 679.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - h + 9, 4*c - 2*c = -3*h - 3. Differentiate 17*l**c - 46 + 31*l**3 - 15*l**3 + 11*l**3 with respect to l.\nAnswer: 132*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13 - -14) + 3 + -6 + -6 + 20\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n - 5. Let w be v(-4). Solve -w*o - 1 = 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m - m - 2*m. Suppose 0 = -12*f + 8*f + 14836. Let s(u) = -15*u + f - 3709. Calculate b(s(p)).\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39514 is divided by 1718?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -1. Let a be d\/(2 + -2 - 1). Suppose 3*b = -5*u + 3, -5*b + 5 = 3*u - 0. Solve -4*g = -0*g + 2*n + 22, u = -5*g + a*n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -12. Suppose -3*h - 3*w = -3, w = -f*h + 3*w + 19. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - (-188)\/(-16)) + 1\/(-4). Sort 1, v, -4 in ascending order.\nAnswer: v, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 12 - 3*h**3 + 30*h - 50*h + 2*h**3 + h**2 - 10 in the form f*h + i*h**3 + l + s*h**2 and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23220726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3756 is divided by 59?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**3 + 138*i**2 + 540*i + 536 = 0.\nAnswer: -134, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -361*f**6\/720 + 121*f**5\/120 - f**4\/72 - 2*f**2 - 75*f. Find h such that a(h) = 0.\nAnswer: 0, 2\/361, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -756 < -8952?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 637496 and 4.\nAnswer: 637496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*((j*j*j**(1\/3))\/j)\/j)**34 assuming j is positive.\nAnswer: j**(136\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -5*j + 3*a, -5*a - 592 = -3*j - 591 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 12:05 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2959*r. Let d(g) = -379*g. Give d(x(h)).\nAnswer: -1121461*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.26 - -0.04. Let l = 3.01 - 0.01. Let s = l - 2.8. What is the second biggest value in c, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 3*i + 13, -8*y = -5*y + 3*i - 12. Let u be (-2)\/1*(-3 - y). Suppose 22 = u*w + 6. Solve w*j + 14 = b - 2*b, -3*j - 2 = 5*b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9245?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20108300 rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -87799*l**3 + 38046*l**2 wrt l.\nAnswer: -526794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15246.91l?\nAnswer: 15246910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 547*j**2 - 11262 wrt j.\nAnswer: 1094*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, -161, -402?\nAnswer: -643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 80.5017 times -0.32\nAnswer: -25.760544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*i**2\/5 + 3*i\/5 - 14\/5.\nAnswer: (i - 1)*(11*i + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 6*v + 5*v, -2*d + 12 = -v. Suppose p + 2 = 0, -d*n + 2 = -p + 120. Calculate the remainder when 76 is divided by ((-26)\/(-2))\/(6\/n*-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, f: 2, v: 3, s: 1}. Give prob of picking 1 y and 1 f.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 11*f**2 - 2. Let t be v(11). Let y be (-3)\/6 - (-5)\/t. Let i be 24\/(-30) - (-38)\/10 - 6. Are y and i nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 11) to base 15.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504 + 408 = 3*b - 29*m, 0 = 2*b + 4*m - 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v - 12*v + 2*v**2 + 4*v.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81*(-37)\/(-6993))\/(18\/(-21))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1111110010001000 (base 2) to base 9\nAnswer: 107611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 2:36 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 - k**2 - 2*k + 2. Let b be f(2). Let m(c) = -470 + 470 - b*c. Let r(q) = -2*q + 5*q + 2*q**2 - 3*q. Calculate m(r(n)).\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from krwwwkrkkrkr. What is prob of sequence rwr?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95886*2.\nAnswer: -191772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 187.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w + 3. Let d(g) = -2 + 3 - 135*g - 143*g + 279*g. Give 4*d(i) - q(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1933859399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 14\/19 (b) -5 (c) -2\/13 (d) -3 (e) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.9 to the nearest integer.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2*12\/(-408)*2\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -73*w**3 - 4*w**2 - w. Calculate the smallest common multiple of p(-1) and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v + 1 - 1 + (-v - 2*v + 4*v)*(1 + 0 + 0) - 4*v + 4*v + 24*v as g + z*v and give z.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 l when two letters picked without replacement from pqplpqe.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(((-1)\/1)\/(-10)). Let g = -53 + d. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 divided by 145155.\nAnswer: -11\/29031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1205, -14, -4, -3\/4, -21, 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + -4 + sqrt(448).\nAnswer: -2 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 1074*t**3 + 6*t**2 - 8*t + 4. Let r be i(1). What is the greatest common factor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 - 1892600*l**3 + 0*l**2 - 489*l + 489*l + 1892604*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**5\/2 - 311*i**4\/2 - 16038*i**3 - 541800*i**2 + 754272*i + 6718464 = 0.\nAnswer: -108, -96, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2555 (base 6) to base 2.\nAnswer: 1010000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from cbbaazbbzbbcccbbbaba?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25 - 2326.443?\nAnswer: -2326.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r - 5. Suppose -105 = 4*h + h. Let g(s) = 4*s**3 + 16*s**2 - 10*s - 40. Let u be g(-3). Let p = h + u. Give y(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.96 + -0.6. Let i = 0.4 - d. Let h = -0.040054 + i. What is h rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u**4 - 5492*u**3 - 916*u**2 = 0. Calculate u.\nAnswer: -1\/6, 0, 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwswsgoccssq. What is prob of picking 1 o and 2 s?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 0 - 28*n**2 + 0*n - 2\/15*n**5 + 1\/8*n**4 + 1\/3*n**3 + 1\/120*n**6. What are the prime factors of k(8)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from ccccccccccccf?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**4 + 651*g**3 - 1584*g**2 - 74508*g + 282480 = 0?\nAnswer: -11, 4, 10, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 6040*s - 10. Determine q(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 + 32 + 17*l**3 + 6*l**3 - 32.\nAnswer: 25*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11448\/636 + 3250*-4*(-4)\/(-2888)\nAnswer: -2\/361","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16517 is divided by 1124?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 766486795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -101 - -105. Let h(x) = x**2 - 3*x - 4. Let c be h(4). Suppose w*b + 0*b = c. Sort -1\/11, b, 1\/4 in decreasing order.\nAnswer: 1\/4, b, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1037 - -12421\/12. Find the common denominator of n and 113\/1842.\nAnswer: 3684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: -15 divided by 9\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 3*m**2 + 4. Let a be ((-40)\/6)\/((-43)\/(-15) - 3). Let l = 49 - a. Let c be 1*l*(-15)\/(-3 + 8). What is g(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/37812 and 17\/50416.\nAnswer: 151248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 10:52 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 + 934735*b**2 - 43680399600*b - 568003176000.\nAnswer: -5*(b - 93480)**2*(b + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: -30345 (base 6) to base 5\nAnswer: -112100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -145 - -305. Let h = n - 50. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -8*s - 3. Let x(g) = -10*g - 12920*g**2 + 12944*g**2 + 10*g. Determine x(t(n)).\nAnswer: 1536*n**2 + 1152*n + 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9c77 (base 13) in base 10?\nAnswer: 21899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 - -22. Let i be d\/(-4)*12\/9. Let v = -8 - i. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 + 270 = 31*f. Let g(i) = -16*i - 1. Let j(a) = 15*a + 1. Determine f*g(d) + 7*j(d).\nAnswer: 9*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 11*p - 8. Let c(a) = a**2 - 10*a - 9. Give 7*c(n) - 6*j(n).\nAnswer: n**2 - 4*n - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 5 - (22 + (-11 - -2))) + -6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, w: 3, z: 2}. What is prob of picking 2 w and 1 z?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 663313 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (36 + (-7 - 7))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 322446539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 - 8*r - 5. Let l be f(-4). Let d(m) = m - 21. Let p be d(0). Let t(o) = 8*o**2 + 5. Let h(g) = -33*g**2 - 21. Determine l*h(q) + p*t(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*l + 132 - 4 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2 - 5 = 0. Let i = -6 + v. Solve y + 0 + i = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 15. Give q(16).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/2068 and -79\/1880.\nAnswer: 20680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 1, -4, -16 in increasing order.\nAnswer: -16, -4, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 12:21 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -116 - -193. List the prime factors of d.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 - -53. Suppose x*o - 4*o + 220 = 0. Which is bigger: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 + -0.3. Let l = 1.2 + n. Let a = 0 - 1. Is a at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2908939 to the nearest integer?\nAnswer: 1706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 16*f**3\/9 - 41662*f**2\/9 + 2476760*f\/9 + 310246\/9 = 0.\nAnswer: -1\/8, 61, 2543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -62*v + 41*v + 25284. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 19) + 21 - (-10 - 3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 8:39 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10429 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z**5 - 33*z**4 + 201*z**3 + 285*z**2 - 450*z = 0.\nAnswer: -15, -2, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 55625*z**2 - 5*z + 40. Suppose -p + 3 = -k - 0, -23 = -p - 3*k. Let g be c(p). Round g to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 - -59. Which is the nearest to -1? (a) 2\/9 (b) -10 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**3 - 10*f**2 - 11*f - 5. Let z be j(-4). Let m be ((-6)\/(-36))\/(2\/156) + 6. Solve -z*t - m = 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 q when two letters picked without replacement from {r: 1, q: 1, g: 2, i: 2, a: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 71\/(-142)*4018\/49\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7242, -14476, -21700, -28914, -36118, -43312, -50496?\n\"Answer: 5*l**2 - 7249*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19763 - 19761.0391. Let f = c - -0.0391. Put -2, -4, 0.1, f in descending order.\nAnswer: f, 0.1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 3*d**2 - 4*d + 3. Let n be o(4). Let l(m) = 6*m**3 + n*m**2 + m**2 - 3*m**2. Let y = 1 + -2. What is l(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 100 + -204. Let f = v - -103.6. Which is the nearest to 0? (a) 0.3 (b) f (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3284 - 3284. Solve o = 17*v - 37*v + 20 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 7*y**2 - 8*y - 7. Let w be m(8). Let j(r) = -r**3 - 8*r**2 - 7*r. Let v be j(w). Let f be 2\/8*1\/(24\/(-64)). Is f at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 27\/(-9) - (-1 - 3). Let d = -1 - 2. Let n = 8 + d. Which is the biggest value? (a) v (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59500079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2945504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4491910*b**3 + 67*b**2 - 1779*b + 7 wrt b?\nAnswer: 26951460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 5*g**4 - 55*g**3 + 225*g**2 - 405*g + 270 = 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*c = -0*s, -5*s = 4*c - 56. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**3\/5 - 348*o**2\/5 - 514*o + 6516\/5 = 0.\nAnswer: -9, 2, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*j - 6 = 0. Let g be 42 - (4\/j + -5). Suppose 4*b - g = -k, b - 2*k = -5*k + 25. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(35 + -50 + 20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 2:26 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2 + 3*f**2 - 8*f**2 + 6*f**2 + f. Give l(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1433.131 nanograms?\nAnswer: 0.001433131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 487 or 481?\nAnswer: 481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 + 6*g - 4. Let y(d) = 7 - 8764*d**2 - 7*d - 4*d + 8761*d**2. Calculate 5*a(j) + 3*y(j).\nAnswer: j**2 - 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4 + 104*l**3 + 214*l**2 + 108*l.\nAnswer: -2*l*(l - 54)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2620 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -2)*(-72 + 71).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -31429343*0.2\nAnswer: -6285868.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(553\/(-196) + 10\/8). Is u at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -217, -812, -1717, -2932?\n\"Answer: -155*n**2 - 130*n + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/161082 and 151\/228.\nAnswer: 322164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3428 - 0.0572. Let z be (1\/(-4))\/((-6)\/(-12)). Which is the closest to 0.41? (a) w (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**3 + 2 + 1 + u - 4 - 2. What is the derivative of n(d) wrt d?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100730 or 1108044\/11?\nAnswer: 100730","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-6))\/z**5)\/(z**(2\/11)*z*z**1*z) assuming z is positive.\nAnswer: z**(-145\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**3\/11 + 6692062*h**2\/11 - 13384132*h\/11 = 0.\nAnswer: -3346033, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 3*t + 47, -51*p - 5*t + 169 = -48*p. What is the remainder when 207 is divided by p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/2*(3 + -4). Let t = 1 + d. Suppose -16 = -4*b, -a = -t*b - 6 - 3. Calculate the remainder when 49 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + (-16)\/(-4) + -3)*-3607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_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: Round -27.88344732 to three decimal places.\nAnswer: -27.883","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5553029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.11 - -3.89. Let r = 7 - m. Let y = 0.4 - 0.3. Which is the closest to y? (a) 1 (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -271 + 274. Let f(x) be the third derivative of -x**5\/60 + x**3\/3 - 7*x**2. Let o be f(0). Solve -o*d - j = 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1807343 is divided by 171?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdyd when four letters picked without replacement from {d: 4, b: 2, n: 2, y: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1596*67\/(-1608)*4\/(-7).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -32866, -0.4, 5\/2, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 161043*c**2 - 4675504?\nAnswer: 322086*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 37\/5 of a millimeter?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 97 - -1390. Suppose 3*p + i = 2*h - 141, 0 = 5*h - p - 4096. What are the prime factors of h?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137549 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-15))\/b)**(-1\/2) assuming b is positive.\nAnswer: b**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31 - 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 10*j - 3. Let u be 4 + (3 - (3 + 0)). Is p(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b - 1. Let s(f) = f - 32. Let i(o) = s(o) + 3*x(o). Let g be i(-19). Solve g*r + 3*a - 9 = 0, 0 = -0*a + 4*a - 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 45 - (-560 + 454)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 588 and 812.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*s**2 - 185*s\/2 - 21\/2.\nAnswer: (s - 3)*(64*s + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwllwlwfuluul. Give prob of picking 1 u, 2 l, and 1 f.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -221360837 + 3?\nAnswer: -221360834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 + -163 + 5 + 0 - 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1939067, -1939157, -1939247, -1939337?\n\"Answer: -90*q - 1938977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2366746767.\nAnswer: 3, 7, 11, 3415219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -376560, -752974, -1129388, -1505802, -1882216?\nAnswer: -2258630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/377804733 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 5, -154, -1\/3, 16, 0.5, -102?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60400702?\nAnswer: 2, 1607, 18793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 149*a + 53 - 25 to t + i*a and give i.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nzzzzznzzsszz. What is prob of picking 1 z, 1 n, and 2 s?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1035637509?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -23. Let k(n) = 32. Let r(m) = -5*k(m) - 7*x(m). Let a(o) be the third derivative of o**4\/24 - o**3\/2 + 10*o**2. What is -2*a(l) - 6*r(l)?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20145.\nAnswer: 3, 5, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67284.053847 + 67284. What is b rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164083492.\nAnswer: 2, 127, 322999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -21\/10 > 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(1\/(-4067)) + (-32)\/(-17 + 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(4\/7))\/(k*(k**(-1\/4)\/k)\/k*k)*(k\/(k*k*k**6\/k))\/k**2)\/(k**(-3\/4)*k**(-2)*((k**(-3\/5)\/k*k*k)\/k)\/k*k*k**(-2\/9)) assuming k is positive.\nAnswer: k**(-866\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7998784.\nAnswer: 2, 124981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 405*x**4 - 404*x**4 - 3 - 3*x**3 + 1 as i*x**4 + q*x + a*x**2 + f + h*x**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(0\/(-4) - 5). Put -3, s, -2, 2 in descending order.\nAnswer: 2, -2, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.89983 - 0.10017. Let c = -4.9 - -0.3. Let a = 5 + c. What is the closest to k in a, -3, 6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 12*s - 2. Let r be 0\/(-4 + (1 - -2)). Let i be -11 + 5 + 1 + r. Is 13 a factor of b(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u*u*u**(-4))**(-3))**25)**(-30\/11) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**5\/5 - 11*y**4\/4 + 55*y**2\/2 + 62. What is the second derivative of h(c) wrt c?\nAnswer: 12*c**2 - 66*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/10429 and 61\/620?\nAnswer: 6465980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -435041 (base 13) to base 9.\nAnswer: -2870848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-840)\/(-672))\/((-2)\/(-2))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -185, -275, -511, -965, -1709?\nAnswer: -2815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -16.6*-0.1\nAnswer: 1.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * -0.6.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**3 - 44*a**2 + 43*a - 18. Let i be o(21). Suppose -12300 = -5*r - s, 14*s = i*r + 10*s - 7357. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 - -2b?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a - 4*a - 17*a**5 + 114*a**4 - 119*a**4 + (0*a + 5*a - 2*a)*(-3*a**4 + 0*a**4 + 2*a**4).\nAnswer: -20*a**5 - 5*a**4 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4503988 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9\/4 + -25\/12. Let l = 51\/259 - 2\/37. Let m = -2 + 0. Which is the third smallest value? (a) x (b) l (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 51.30825 minutes?\nAnswer: 3078.495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(56\/(-18)) - (-34)\/119?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j + 4. Let l(h) = 26*h + 20. Let m(t) = -3*l(t) + 16*x(t). Let z(u) = 3*u + 6. Let k(c) = -8*m(c) + 5*z(c). Calculate k(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence roxu when four letters picked without replacement from {n: 1, x: 3, r: 3, o: 3, c: 3, u: 5}?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20279357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 97*j - 152*j + 48*j**3 + 111*j - 23*j**4 + 27*j**4 + 112*j + 164*j**2.\nAnswer: 4*j*(j + 2)*(j + 3)*(j + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 39*i**2. Is 16 a factor of p(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 0 + -11 + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1341 (base 6) to base 7\nAnswer: 1006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 13*j - 7. Suppose -4 = 2*h - 3*h. Let u = h + -9. Is k(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/440)\/(18\/3630)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -0*k. Let o = -629\/1133 - -1\/103. Is o bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1175930 and 749?\nAnswer: 1175930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1967, 2262, 2701, 3284?\nAnswer: 4011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 328482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -26. Let g = z - -7. Is g at most as big as 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 329 (b) -77 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35504\/1355 + -3\/1355. Let o = f + -25. Suppose -6\/5*k + 3*k**3 + o*k**4 + 0 + 3\/5*k**2 = 0. Calculate k.\nAnswer: -2, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.21, 0.15, -0.2, -1?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + (-1 - -1))\/2. Suppose 4*o = -0*o. Suppose z*x - x + 15 = o. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(216))\/sqrt(8).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11.6+-0.26\nAnswer: 11.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -15*a**2 + 9*a + 2. Let z be g(2). Let k be z - (-2 + 5)\/(-3). Which is smaller: k or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13665432 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*k = -42, -3*s - 2*s - k = -26. Suppose -s*h = -3*h - 15. Solve -5*d = -h - 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 43\/8 + (6\/(-16) - 0). Suppose u + 8 - 58 = -z*l, -30 = -5*l - 5*u. What is the greatest common divisor of l and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.5 - 0.6. Let u = -115591 + 115584.900088. Let i = u - r. What is i rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w. Let h(a) = 5*a**2 - 6*a + 62. Let l(k) = 14*k**2 - 132 - 17*k + 165 + 152. Let v(t) = 17*h(t) - 6*l(t). Give v(g(b)).\nAnswer: 9*b**2 - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r + 6. Let j(c) = -3*c - 58. Determine j(f) + 3*n(f).\nAnswer: -12*f - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*p**3*w - 674*p**2*w + 4*p**2 + 25768*p*w - w wrt p?\nAnswer: -24*p*w - 1348*w + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 192509860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2189, 2223, 2287, 2387, 2529, 2719, 2963?\nAnswer: 3267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101100000111 + -100?\nAnswer: -10101100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, l: 17}. Give prob of picking 1 l and 1 u.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.286 + -1.882. What is u rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + sqrt(5) + sqrt(10)\/sqrt(32) + 0 + sqrt(5) + 1)*1 - (1*sqrt(20) + 4 + sqrt(605))**2)*-3.\nAnswer: 1209*sqrt(5)\/4 + 2580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45089\/4 < 11273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (6 + -5 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, w: 2}. Give prob of picking 2 r.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1472718 and 3792.\nAnswer: 11781744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25.32 - -25.319994774. Round o to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.46, 1\/7, -0.1, -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/24 and 23\/980740935?\nAnswer: 7845927480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31184460 and 290088?\nAnswer: 62368920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 6:53 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(1\/3)*v*v\/v**(-1\/2)*v**10*v**(2\/19))**(2\/17) assuming v is positive.\nAnswer: v**(1589\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-20))\/((-3)\/(-3))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/2)\/((-1)\/10). Let r be (-12 + 6 - -103) + 3*1. Calculate the highest common divisor of x and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375 = -61*k + 23*k + 43 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 671 - 550. Calculate the highest common factor of 33 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6, -5, -20 in decreasing order.\nAnswer: 6, 2, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28201.\nAnswer: 28201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*y - 52*y + 4 - 4.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -51? (a) 0.5 (b) 0.1 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-three fifths of a decade?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 103*w**8\/336 - 19*w**5\/10 - w**3\/6 + 5*w**2 + 12. What is the third derivative of l(j) wrt j?\nAnswer: 6180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11105)\/399780*8\/7?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x**5 + 16*x**3 + 197*x**2 wrt x?\nAnswer: -60*x**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/1906023 and -45\/1724497?\nAnswer: 36214437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 6:37 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(0 - 4\/8). Let l be (-2 + 3)*-3 + 6. Solve 1 = -q - 2*r, -h*q + l*r + 16 = r for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -0.1. Let w = -1023.4 + 1024. Which is the closest to -1? (a) w (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 797, 0.003, 0.4, 2\/13 in descending order.\nAnswer: 797, 0.4, 2\/13, 0.003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3 = -4*u, -3*u - u = 4*n - 4. Let m(l) = -28 + 28 + 2*l**u. Let c(y) = 4*y**2. Determine m(c(p)).\nAnswer: 32*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*k**2*z + 3*k**2 + 22*k*z + 17*k wrt z?\nAnswer: -3*k**2 + 22*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5d - 0?\nAnswer: 5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j + 13. Let c be o(12). Solve 5*v = -11 + c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 2. Let n(r) = -3*r + 85. Calculate the lowest common multiple of w and n(21).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445577853 to the power of 1\/3, to the nearest integer?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -6*a + 19. Let y = -286 - -287. Put y, -2, a in decreasing order.\nAnswer: a, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42761312 divided by 150568\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(1\/4))**(-3\/22))**34\/(((n\/n**2)\/n)**(-2)*(n**0)**(1\/3)) assuming n is positive.\nAnswer: n**(-329\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 57*z - 62*z.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1644 (base 14) to base 16\nAnswer: f8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2 + 2*y - 8*y + 34*y**2 + 7*y - 2*y. Let f be b(-2). Round f to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 2:11 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 253*b + 198*b - 3608. What is the smallest common multiple of ((-66)\/(-15))\/((-2)\/(-60)) and b?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001101001100111 (base 2) to base 4\nAnswer: 21221213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*m - 38*m + 63*m**4 + (3 - 1 - 1)*(3*m**4 - m**4 + 0*m**4) as k*m**4 + l + u*m**3 + o*m**2 + d*m and give k.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuouoo. Give prob of picking 1 u and 1 o.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*h + 790 + 497 = -381 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 1818 - 633 = 0. Suppose -3*x + 236 = 2*n, 0 = -3*x + 4*n - 7*n + y. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 4*z - 3*z - 3*z - z**2. Let o(y) = 5*y**2 + 4*y - 1. Let a(r) = -4*j(r) - o(r). Let b(d) = 3*d**2 - d - 3. Give -5*a(c) - 2*b(c).\nAnswer: -c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -5)\/((-79)\/(-1106))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/65)\/((-44)\/(-20) + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238218665 to the power of 1\/2, to the nearest integer?\nAnswer: 15434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 5*u + 3. Find the third derivative of -5*p**u - p**2 + 5*p**3 - 2*p**2 - 2*p**4 wrt p.\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 13157820.\nAnswer: 13157820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -603 + 1357. Let t = -753.99389 + x. What is t rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - 75?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yykk when four letters picked without replacement from kkkkykykkykkkkkkkk.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-81)\/1 - (-1 + -1). Suppose -5*t = -a + 68, -424 = -16*a + 11*a - 3*t. Let i = n + a. Calculate the smallest common multiple of 9 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5806593?\nAnswer: 3, 13, 71, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 9:31 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 10*j = -11*j + 288, 4*j - 867 = -3*v. Solve 282 = p + v for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13596108 and 804.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 g, and 1 s when three letters picked without replacement from fjcygfgfsggfcgf?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, u: 1, g: 1, i: 1, l: 1}. Give prob of picking 1 g and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2438528 - 1718779. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 7:47 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*u - 19048 = -2*o, 4*u - 19036 = 3*o. Let q = -4442 - o. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -20, 3, -2 in descending order.\nAnswer: 3, 1, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*m + 33*m - 8*m**3.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8908 by 2109.\nAnswer: 8908\/2109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 10*s - 23 = -246 - 89, 5*s - 173 = -3*i + 12*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*l - 330 = -915 - 927 for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*a - 3*v + 5, -3*a - 3*v = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2136 and 2405.24?\nAnswer: -5137592.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -49053319 and -0.07.\nAnswer: -49053319.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472 = 124*z + 644. Let i(n) be the first derivative of -n**3\/3 - 9*n**2\/2 + 6*n + 1. Determine i(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 8*t**2 + t - 12. Let g be (-1 + 0)*(-34 + (-1 - 0)). Let y = g - 28. Let b be h(y). What is the greatest common factor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 860937.31 - -0.18.\nAnswer: 860937.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c = 18*c + 4*v - 399, 4*c - v - 551 = 0. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-12) - 9\/(-4). Suppose 1530001 = -3*h + 2*c - o*c, 2*h - 5*c = -1019995. Round h to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - (40 - 78)) + -18.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/(-4)*(-4)\/(-3). Let z = -5 - g. Suppose 2*q - q - 4 = 0. Solve -3*d + 0*w + 2*w = -z, 0 = q*d - 2*w - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1252888 + 1129944 = 2*y. Suppose 5*d + 6308584 = -y. What is d rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 623 + -2?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 702, -15, 0 in decreasing order.\nAnswer: 702, 0, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((25\/(-10))\/(-5))\/(7\/42).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -107*c + 9. Suppose -36 = 2*m - 2*o, 3*o + 20 = -2*m + o. Let g(u) = u + 21. Let s be g(m). Let y be p(s). What is y rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36662 is divided by 73.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1687075505 to the power of 1\/2, to the nearest integer?\nAnswer: 41074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 59465335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**2. Let p(g) = g**2. Let k(w) = -4*w + 19. Let z be k(9). Let c = 18 + z. Calculate c*q(m) - 5*p(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 4)*(12 + -77). Calculate the greatest common divisor of 143 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201022213223 - 2202?\nAnswer: -201022222031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - (-14)\/6) + (-3020)\/6342. Which is the closest to -2\/3? (a) 15\/4 (b) p (c) -0.4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 3 = -r. Let d(l) = -l**3 - 6*l**2 - 4*l. Let b be d(r). Let y = b + -14. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9641?\nAnswer: 31, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 32404.39946 to the nearest one hundred.\nAnswer: 32400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 9\/2*j - 3\/2*j**2 + 9\/2*j**3 + 3\/2*j**4 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2481 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**2 - 7. Let p(j) = j**2 - 3. Let r(h) = 14*h - 52. Let v be r(4). Suppose 0 = v*i + 24 + 12. Calculate i*p(g) + 4*x(g).\nAnswer: 3*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 23) + -6 - -4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 4. Let k be l(10). Let o(h) = h**2 + 6*h + 2. Let n be o(k). Let f(m) = -m**3 + 3*m**2 - 3*m + 2. Give f(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 8 - 6 + 5 + b. Let x be z(5). Let j = x - 12. Which is bigger: -1\/4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 138?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8414 + 8415. Let b(h) = h - 3. Let k be b(5). Suppose -3*v - k*v + 5 = 0. Is v less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 287*h - 17 wrt h?\nAnswer: 287","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l. Let x(n) = 2*n + 2. Let h be x(-4). Let u(o) = 8*o. Let v(c) = h*y(c) - u(c). Is v(-1) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 653 = -3*v + 2083, 3*n - 2*v = 877. Let c = 441 - n. Calculate the greatest common factor of c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 96*f - 926. Calculate the remainder when 2277 is divided by v(10).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 - 6\/4*-2. Let c be (-2)\/(-2*(-1)\/a). Is c at most 4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 86, 90, 98, 110, 126, 146?\n\"Answer: 2*o**2 - 2*o + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u. Suppose -t = -4*t + 9. Suppose -i = 5*w - 88, 4*i - 43 = -2*w + i. Calculate the remainder when w is divided by z(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*l**3*m**2*y - l**3*m**2 + 122009*l**3*m + 248*l**2*m*y - 6*l**2*m - 684*m**2 wrt l.\nAnswer: 24*m**2*y - 6*m**2 + 732054*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 248.96523 to zero decimal places.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p - 10*p - 3*p + 5*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1623\/14 - -117. What is the common denominator of -53\/1650 and n?\nAnswer: 11550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-6)\/(-2) + 6 + -1. What is the derivative of 10 - 6 + l - 15*i**2 wrt i?\nAnswer: -30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*c - 188 = 0, -2*i - c = -3*i + 34. What is the highest common factor of 576 and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkm when three letters picked without replacement from pkkmkmiikfkfpppkpkk.\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10990 divided by 5\nAnswer: 2198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 3:45 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 950, 11, 1, 4 in decreasing order.\nAnswer: 950, 11, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 109 + -24. Suppose 5*d + p = -15. Is (-1105)\/d - 2\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o**(1\/11)*o*o))*o*o*o\/(o**(-23)\/o)*o)**(-4\/13) assuming o is positive.\nAnswer: o**(-1324\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 less than 53\/76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-2 + 0 + -2). Let k = z - 4. Suppose n + n - 12 = 0. Solve -n*a + a - 10 = k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -813*c - 5697. Give h(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/20*(-16)\/6. Let l be 24\/20*30\/9. Suppose 0 = l*i - 2*i + 2. What is the closest to i in n, -5, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1) + (-19 + (11 - -1) - -12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50744?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3 - 1)*102 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*a + 107*a + 109*a - 422*a + 102*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/2)\/(1 - 3). Let y = 5 - x. Suppose 4*w + p = w + 108, -y*p = -5*w + 180. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1276287 or 1276318?\nAnswer: 1276287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 130 + -106.4. Let k = -23 + h. Which is the third biggest value? (a) 4 (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14863 = 375*g - 286*g. What is the highest common divisor of g and 8851?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.5*0.4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2. Let n(b) = 543*b. Give n(z(r)).\nAnswer: -543*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 3*a**2 + 5*a. Let k(y) be the first derivative of y**4\/2 - 5*y**3\/3 - 9*y**2\/2 + y - 212. Let s = 174 - 169. Give s*c(h) + 3*k(h).\nAnswer: h**3 - 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d + 6. Let z(a) = 4 - 9 + 14 + 11*a. Let u(h) = 8*k(h) - 5*z(h). Let j be 10\/(-1 - 1) + 1. What is u(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 36931, 73483, 110035?\n\"Answer: 36552*b + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/1781250 and -121\/1000.\nAnswer: 7125000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21056 divided by -448.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 53.40678km?\nAnswer: 53406780000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1217 = -3*z - 1097. Is z not equal to 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285946.\nAnswer: 2, 142973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6254 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3 = -4*j + 54, 44 = j + 5*n. Solve -4*a = 2*f - 2, -2*a + 5*a + 4*f = j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2740\/(-37) - (94 - (-1263240)\/(-13431))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/52)*f*f**24*f*f*f\/(f*f**(-4))*f**33 assuming f is positive.\nAnswer: f**(3327\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 87724339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*d - 132706, 2*d - 106148 = 4*z + 3*d. Let v = 51589873\/1944 + z. Let r = -76777\/21384 - v. What is the common denominator of r and -29\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4527.92609 to the nearest integer.\nAnswer: -4528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12746 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 156 = -4*i, -d - 2*i - 2 = -22. Solve 4*w = 3*r + d, -119*w + 122*w - 4*r - 28 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from cccpckpk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -75*u**3 + 75*u**3 - 27*u**4 + (-2*u + 2*u + u**2)*(4*u**2 - 12 + 9 - 3*u**2) in the form o*u**2 + j + h*u**4 + y*u**3 + c*u and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 21690*z - 2257. Is r(25) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r - 1. Suppose q + g - 57 = 0, -g - 214 = -4*q + 2*g. What is the remainder when q is divided by d(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 0*j**5 + 0*j**6 + 0*j**3 - 1\/4*j**4 + 0 - 1\/42*j**7 - 18*j**2 + 0*j. Find the second derivative of q(p) wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337.5 rounded to the nearest 10?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*w**3 - 137 + 1015698*w**2 + 89*w**3 - 1015698*w**2 + 137.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a week in hours?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 + -9 + 3 + 35?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-14))\/(15\/20*-1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2433 (b) -2\/3 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 0*n = n - 4, -4*m = 5*n + 1. Let l be (-6222)\/(-36) - m\/(-6). Suppose 0 = 5*y - 4*y - 4*q - 49, 5*y = -4*q + l. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44264572 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11899860118 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 + 21. What is the third derivative of -2*f - 346*f**2 + 2*f + k*f**4 + 352*f**2 wrt f?\nAnswer: 1320*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r**2 - 2*r**2 + 2*r**2)*(4 - 4 + r) - 4 + 4 + 2*r**3 + 1019306 - 2*r**3 + 0*r**3 - 1020826 in the form c + v*r**2 + t*r + w*r**3 and give c.\nAnswer: -1520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/9)\/((-18)\/27). Let j be (3 + 13\/(-4))\/o. Let u = 0.08 - 5.08. Which is the nearest to 1? (a) 1 (b) u (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58083423, 116166849, 174250275, 232333701, 290417127?\nAnswer: 348500553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + (-10)\/(8\/(-4)). Suppose -z*n = -7*n + 3530. What is n rounded to the nearest one hundred?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10253, -10248, -10249, -10262, -10293, -10348, -10433?\n\"Answer: -x**3 + 3*x**2 + 3*x - 10258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13906620 by -364.\nAnswer: -38205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**3*w + 9*a**3*z + 3*a**2*z**3 - 2*a**2 + 2*a*w + 12*w*z + z**3 wrt a?\nAnswer: -18*a*w + 54*a*z + 6*z**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16128 rounded to 2 decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + 21. Let y be (-2)\/(-10) - 3\/15. Suppose 0 = 2*u, -3*j + 4*u + 18 = -y*u. Calculate the highest common factor of j and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 9793 = 7*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5076.38 millennia in decades?\nAnswer: 507638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 6*t + 4. Let u = 2 + -6. Let z be b(u). Suppose 7*r - 5 = 2*r - 5*g, g = 5*r + 1. Put r, -1, z in increasing order.\nAnswer: z, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g. Let p(w) = w. Let o(n) = n**2 - n - 1. Let k be o(0). Let z = -2 + 1. Let d(b) = 3*b. Let v(l) = k*d(l) + z*p(l). What is m(v(j))?\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40304 (base 5) in base 14?\nAnswer: d23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79 + -34. What is the remainder when i is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 382123\/20 + -19101. Find the common denominator of -17\/6 and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 + 165 + q**2 - 2*q**4 - 2*q - q**4 - 167 in the form s*q**2 + x*q**3 + p + m*q**4 + i*q and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17992*s + 4692 = 17890*s for s.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 0*m**2 + 0 - m - 1\/3*m**3. Let k(f) = -4*f**2 + 6*f**2 - 3*f**2. Calculate a(k(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 56 = 60. Let m(d) = -2*d**2. Let v(z) = 37*z**2 + 39. Let r(b) = n*v(b) - 3*m(b). Find the first derivative of r(i) wrt i.\nAnswer: -62*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**2 + 4*j**3 + 4*j**2 - 5*j + 5*j + 2*j**3 + (2 + 3 - 3)*(-j**3 + 4*j**3 - j**3) + 17 - 43*j**3 - 8 - 9.\nAnswer: -33*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3cb85 (base 14) in base 3?\nAnswer: 21122101012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 2*z - 10, 3*g - z - 15 = -21. Which is the fourth biggest value? (a) 0.01 (b) g (c) 4\/9 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + 7 - (-1 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -3*v - 3*b + 591, v - 5*b - 173 = 0. Calculate the remainder when v is divided by 93.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (248 - 248 - 5*x**2)*((5*x**2 - 5*x**2 - 2*x**2)*(6*x - x - x) - 3*x**3 - 2*x + 4*x**3 + 2*x**3).\nAnswer: 25*x**5 + 10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.316? (a) -5\/2 (b) -4 (c) 2 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6 + 78*g**2 - 24*g**2 + 8*g - 24*g**2 - 29*g**2. Calculate the remainder when 353 is divided by c(5).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6531 divided by -7\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - 3 + 3)*(-11*u**2 - 15*u**2 + 5*u**2 + (u - 6*u + 3*u)*(-2*u + 6*u - 2*u)) + (-5 + 5 - u)*(239 + 33*u**3 - 239)*(-3*u + 6*u - u).\nAnswer: -116*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/((-6)\/(-2)) - -4. Suppose 0 = a*u + 1490 + 50. List the prime factors of 2\/1 - u\/7.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -282 - -470. What is the least common multiple of 376 and p?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 15945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156 divided by -52.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33813 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of g**6\/11 - 20*g**5\/11 + 25*g**4\/22 + 20*g**3\/3 + 32*g**2\/11 - 506. Solve p(v) = 0 for v.\nAnswer: -1, -1\/3, 0, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*u**3 - 2*u**3 + 11*u**2 + 12*u**3.\nAnswer: 27*u**3 + 11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = y - 5*y + 24, 8 = -2*z. Suppose y*d - 27 = -4*b, -3*b - 3*d + 21 = -b. Solve -3 + 15 = -b*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 38 = s + 4*z, 3*s + 2*z = 25. Solve s*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(448) - (0 + sqrt(448))))**2*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5106250 divided by 4085\nAnswer: -1250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/23? (a) -4\/7 (b) 0.06 (c) 4 (d) -2 (e) -182\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 219*f**3 - 945*f - 2?\nAnswer: 1314*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 98108381?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 64*n**5\/7 + 32*n**4\/7 - 23228*n**3\/7 - 181984*n**2\/7 - 86636*n\/7 - 10648\/7 = 0.\nAnswer: -11, -1\/4, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -7*h**2 - 18*h - 15. Let i(p) = 8*p**2 + 23*p + 19. Let d(a) = 4*i(a) + 5*s(a). Factor d(y).\nAnswer: -(y - 1)*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*a - 3*c - 28 = 0, -5*a = 4*c - 197. What is the derivative of 32*x**4 + 19*x**3 + 18*x**3 - a*x**3 + 39 wrt x?\nAnswer: 128*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4295378 is divided by 71.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142\/9*x - 160 + 2\/9*x**2 = 0.\nAnswer: -80, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = a. Suppose -4*d = -2*m + 8, -m - 5*d - 10 = -a*m. Let s(n) = 2*n - 57. Let l be s(28). Which is greater: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19748 - -19750. Solve -3*d - 8 = 4*r + 11, -i*d - 12 = 2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143327 is divided by 71659.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7101 and 50759.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**2 + 27*x**2 + 67*x**2.\nAnswer: 88*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**(-6\/11)*y))\/y)\/y)\/(y\/(y*y**(-2\/23)*y*y)*y) assuming y is positive.\nAnswer: y**(-137\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-8)*(-8)\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**4\/7 - 140502*a**3\/7 + 501958*a**2 - 6605898*a\/7 + 3232696\/7 = 0.\nAnswer: -70276, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 8:50 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(4\/13)\/f**(-1\/18))**40)**(-1\/17))**(-1\/2) assuming f is positive.\nAnswer: f**(50\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by 64388.\nAnswer: 23\/64388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 83, 533, 1739, 4079, 7931, 13673?\n\"Answer: 63*o**3 + 9*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*t - 2*q - 1756 = 0, 2*t + 2*q - 596 = 0. What is the remainder when t is divided by 71?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 373295710 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -9. Let y be (-27 - -2)\/(n - 1). Round y to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -627.4 + -97.6. Let t = x - -725.00000632. Round t to seven decimal places.\nAnswer: 0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81\/81*(-66)\/(-2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33765 + (78\/(-13) - 13).\nAnswer: 2, 47, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9968 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 497736 and 837?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, -0.2, 17.7, -0.5 in decreasing order.\nAnswer: 17.7, -0.2, -0.5, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + -0.2. Suppose s + 4 = 0, 2*b - 2*s - 8 = -2*b. Is c >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 14*((-45)\/(-6))\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3625501279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*h + h + 0*h)*(1207 + 1328 - 2817)*(-2*h + 0*h + 0*h).\nAnswer: -3384*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -5. Suppose -3*l + l + 16 = 3*j, r*j - l - 14 = 0. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 384675914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four thirds of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10669 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*l - 7, 2*l - 5*l + 9 = 3*g. Suppose j = 0, 4*i = -0*j - l*j + 132. Calculate the greatest common factor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 9:10 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*2)\/((8 + -19)\/(-11)*-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2744000 = -2*f, -5*o + f + 933388 = 4363388. Round o to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28706*u - 2*u**2 - 28706*u.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 111534 or 3457510\/31?\nAnswer: 3457510\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 335*o + 4017. Give g(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 + 20. Let g = 132 - 171.5. Let k = g - q. What is the third smallest value in 1, k, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*k + 2*y = 65*k + 12, 0 = -y + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 938 and 1094244.\nAnswer: 7659708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -420894.174 - 9.5?\nAnswer: -420903.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*h**3*r**3 + 1261*h**3 + h*r**3 + 6*h*r**2 - 1761*r**3 wrt r?\nAnswer: 36*h**3 + 6*h - 10566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-2\/27))\/(i*i*i\/(i\/i**(-32))))\/((i*i**(-2\/15)*i*i)\/i**24) assuming i is positive.\nAnswer: i**(7048\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48137059*q**4 + 16796766*q**2 wrt q?\nAnswer: -1155289416*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83 - -76. Let j be ((-7959)\/6)\/q + 3\/(-6). Let s be (-3)\/((-21)\/2) - (-105461946)\/j. What is s rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1408120397?\nAnswer: 1408120397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 1954*q - 1951*q + 4, -5*d = -10*q + 30 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11649?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -220183 + 370183. Round j 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 closest to -34 in -2\/9, 4\/5, -1\/3, 4, 1\/9, 0.038?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -13*n**4\/8 - 8*n**3\/3 - 9*n**2 - 1. Is z(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*r - 8 = -0*r, -5*m + 4*r = -22. Suppose 3*k + 7 = 5*n, 0*n + m*k + 3 = 5*n. Which is smaller: -2\/33 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 9:24 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**6\/120 + 2*j**5\/15 - j**4\/2 - j**3\/6 - 5*j**2. What are the prime factors of o(-8)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, x: 2, y: 2, f: 4, u: 1}. Give prob of picking 2 y.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 at least as big as 493?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5175?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -136 - -138.528. Let t = 0.4 + 2.1. Let d = z - t. Round d to three dps.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 11. Let j = -0.01 + -0.39. Let r be 19\/12 - 6\/24. Which is the closest to -1\/2? (a) r (b) j (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*l - 2242 + 1750 = 0 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1224)*2)\/sqrt(2) + 3 + 3*(sqrt(51)\/sqrt(3))**2.\nAnswer: 12*sqrt(17) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 256 and 123247488.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, -1\/2, -0.2, 2, -2\/271?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/4 and -50\/2317.\nAnswer: 9268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 4 - 1 - 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**2 + 191774*y - 191774*y.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2057976148\/1015 + -2027563. Let t = s + 1\/145. Sort t, -0.02, 4 in decreasing order.\nAnswer: 4, -0.02, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16396 is divided by 88.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53008, -2\/5, -414 in increasing order.\nAnswer: -53008, -414, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 10*c - 4. Let d(w) = -7*w + 3. Let t(x) = 7*d(x) + 5*h(x). Let b be t(-3). Let k(n) = -n**2. Let z be k(-2). Do b and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*v = 15630, 9*b - 5*b - 4*v - 31260 = 0. What is b rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = j. Suppose j = 3*z - 2*d - 20, -4*d = z - 3*d. Suppose -4 = -0*s + 2*s, -4*s - 92 = -z*w. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35538171107.7 + 0.5?\nAnswer: 35538171108.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 409080.61 - 0.2.\nAnswer: 409080.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 3, -0.5, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1188\/208*1\/(-6). Let w = -9\/52 + x. Let v = -247397\/264 - -10250\/11. Calculate the common denominator of w and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21 - (15 - (-135)\/9)) + (-56)\/2\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -2779021 in increasing order.\nAnswer: -2779021, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -21. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-142)\/32 - -6)*1 and -97\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1511054 (base 7) to base 8\nAnswer: 617263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -6. Suppose 4*u = -5*l - 1, -2*u + l = -u - w. Sort 3, -0.4, u in increasing order.\nAnswer: -0.4, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 5*y = 237, 9*y - 10*y + 22 + 22 = 5*z - 11 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + m - 1. Let c be f(-3). Suppose -k - c = 0, 4*k = -5*n - 101 + 2386. Let a = n + -250. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 576926, 576925, 576924, 576923, 576922?\n\"Answer: -a + 576927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0696 in 0.5, 4, 1, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 135 divided by -126\nAnswer: -15\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-25)\/(-10)*((-16)\/(-20) - 4) + 22600. What is the greatest common factor of 64 and t?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 0 - (9 + -6 + 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12 + (-4541)\/(-76) + (-1)\/(-6 - -2). Solve 0 = 17*c + v - 123 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 89*q**3 + 3*q**2 - 2*q - 65*q**3 - 55*q**3 - 24*q**3 as l + p*q + k*q**2 + c*q**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34567, 137902, 310017, 550912?\nAnswer: 860587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 85958, 165243, 244528, 323813, 403098, 482383?\n\"Answer: 79285*f + 6673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3 = 2*o - 14, 5*s + 5 = 0. Suppose o*a = -4*a + 130. Let r = a + 83. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1041 (base 13) to base 6.\nAnswer: -14230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + j**2 - j + 52. Let g be 8\/(-3)*(-9)\/12. Suppose g*v = 4*v. Is k(v) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 9*g**2 - 4*g. Determine y(-5).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 8. Let a(f) = -f**3 + 8*f**2 + 33*f + 6. Calculate the least common multiple of a(11) and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -6. Let c = 602 - 599. Solve -c*u - 17 = -2*n, 2*n - 29 + w = 4*u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 858 + -855. Solve -3*a + 6 = -4*n, 4*a + 2*n = g*n - 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -22, 0.4, -60, -2, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/869 < 1\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**3 - 44*h**2 + 48*h + 3. Let j be f(21). Let a = 129 - j. Which is smaller: -3\/22 or a?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 35322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108861 and 37728?\nAnswer: 10450656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.37 times -19?\nAnswer: 7.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, p: 1, q: 7}. What is prob of sequence qqqp?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 105911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 39 = -17. Let z(l) = 2*l**2 + 4*l - 3. Let g(p) = -3*p**2 - 7*p + 6. Let w = 22 - 18. Calculate s*z(n) + w*g(n).\nAnswer: 2*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(2*x**5 + 2*x**5 - 2*x**5) - 13*x**2 + 13*x**2 - 3*x**5 + (x**3 - 2*x**4 - x**3)*(2 - 2 + 2*x) - 9*x**5 - 2*x**5 + 0*x**5.\nAnswer: -20*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhninnuhnnhniui. What is prob of picking 1 u and 2 i?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*k - 793 = 587, 0 = -3*k - 9. Is 107 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 5\/4*i**4 - 12 + 0*i**3 + 13\/2*i**2 + 0*i. What is the second derivative of v(d) wrt d?\nAnswer: 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -397*o - 996*o + 7 + 7 + 15 - 29.\nAnswer: -1393*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 364*h. Let q(g) = 42*g**2. What is l(q(r))?\nAnswer: -1764*r**4 - 15288*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/(-105) - 122\/28\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 4, 0.0209, -1\/9?\nAnswer: 0.0209","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 238 and 1064.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105)*1)\/sqrt(3))\/sqrt(7).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.1 and -7697135.\nAnswer: 31558253.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/6*(1 + 13\/(-10)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55274082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 218*g**2 - 1898*g - 3563. Determine k(-209).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 p when three letters picked without replacement from yjopopppoj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(132)*-2 + sqrt(132) + sqrt(132))\/((-2*sqrt(72))\/sqrt(6)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 58800 divided by 980\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**4 - 2*k + 2*k + (31*k**3 - 79 + 79)*((34 + 39 + 59)*(2*k - 1 + 1) + 3*k + k - 5*k) as z*k + j*k**4 + f*k**2 + h*k**3 + g and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4ab9d4 (base 15) to base 13\nAnswer: -985ba0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.9 - 1.1. Which is the nearest to m? (a) -0.4 (b) 3 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34 and 12?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 2)*(-1036*w - 1520*w + 606*w) + (-6*w + 15 - 15)*(4 - 4 + 2) to the form b*w + h and give b.\nAnswer: -1962","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.1 + 2. Let m = -1.4 + c. Put m, 7, -1 in increasing order.\nAnswer: -1, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 201312917?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*k + 3*a - 22 = -128*k, -4*k + 62 = -a. Solve k*q = 11*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1136 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v**3 - 2*v**2 + 22*v - 49. Calculate the remainder when 352 is divided by b(3).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 15\/2. Let g be (-2)\/3 + 44\/84. Which is the second biggest value? (a) y (b) g (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*j + 39368 = 1547*j + j - 157608 for j.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1887)\/(-18))\/17 - (-1)\/(-6). Sort b, 3, -1 in descending order.\nAnswer: b, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20) + sqrt(20) + -2 - (sqrt(5) + 2*sqrt(20)).\nAnswer: -sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 10) in base 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*-2*5 + sqrt(176) - 5*(3 + sqrt(44)))**2.\nAnswer: 1380*sqrt(11) + 23501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 571238 and 12154?\nAnswer: 571238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -158*z + 18658. What is x(118)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 327 - 3*v**2 - 669*v - 338 - 156 - 1159.\nAnswer: -3*(v + 2)*(v + 221)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 407?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0, 3, 0.08, -4?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22\/3647 or -1?\nAnswer: 22\/3647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19\/12, -1\/16, -4?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(0 - (-8)\/4). Let s be ((-3932)\/3)\/(-1) + f\/3. Let d = s - 224. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.45 + 0. Let a = -1.95 - f. Sort -0.2, -2, -1\/3, a.\nAnswer: -2, -1\/3, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 80?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 take away 0.17?\nAnswer: -84.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 211.5 + -211. Let s = -5 + -3. Which is the closest to s? (a) n (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 plus 2859962881.7?\nAnswer: 2859962873.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (79 - 85)*(-2)\/(-4)*(-14)\/(-30). Let x = -0.5 - -4.5. Sort -4, -1\/2, u, x in ascending order.\nAnswer: -4, u, -1\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-19)\/(-7) - 4\/(-14). Let l(w) = 6*w**3 + 3. Suppose 0 = 3*h - 5*y - 19, -17 - 8 = -h - 3*y. Let p(q) = -15 - q**3 + 1 + h. What is u*p(b) + l(b)?\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -7*t**2 - 6. Let n(y) = -137*y**2 - 33*y - 105. Let d(b) = 46*b**2 + 12*b + 35. Let v(f) = -11*d(f) - 4*n(f). What is -35*j(a) - 6*v(a)?\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/30 and -17\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2042)\/(-4) + ((-20)\/4)\/10. Suppose 2*i + 11*l - v = 9*l, -4*i + 1017 = 3*l. List the prime factors of i.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48249?\nAnswer: 3, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o\/o**(-1))*o)**(-1\/21)*((o*o**(-2\/15))\/o)\/(o*o\/o**(-2\/11)*o))\/(o**(-2\/3)\/o**(-5\/3)*o**(-3)*o**(-1\/4)) assuming o is positive.\nAnswer: o**(-5141\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(468)*2*3 + (-3 + (sqrt(468) - (sqrt(468) + sqrt(468)*1)) + sqrt(468))*6)**2.\nAnswer: -2592*sqrt(13) + 67716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 4*b**2 + 2*b - 3. Let y be d(-3). Let u be (-6)\/15 + y\/(-15). Factor -u - 81\/5*g**2 + 36\/5*g.\nAnswer: -(9*g - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 162345*p**3 + p - 3. Is h(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 85169616?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 102b1 + -5?\nAnswer: 102aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -3. Let d be (-2 + 14\/2)\/z. Let l(m) = m**3 + 7*m**2 + m. Let b be l(-5). Calculate the highest common factor of d and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**3\/6 + 8*i**2 + 8*i. Let g be j(-10). Let w(b) = b**3 - b**2. Let u(s) = 4*s**3 - 6*s**2. Calculate g*w(l) - u(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2. Let q(p) be the first derivative of -20*p**3\/3 + 11. What is m(q(g))?\nAnswer: -800*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002447 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 31\/3. Is h not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29374885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4429, -19248, -44421, -79936, -125781?\nAnswer: -181944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence izvv when four letters picked without replacement from zzzvvzzdoudoizzzvd?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, p: 2, h: 3, l: 1}. What is prob of sequence hhpt?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 210240 and 18396.\nAnswer: 1471680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 a, 1 i, and 1 p when four letters picked without replacement from naetpia.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((3 - 10) + 5 - -10)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/8)\/(-1))\/((-27)\/(-12))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*a - 35 = -5, -3*b + 5 = -2*a. Sort b, -1\/7, -4\/9 in decreasing order.\nAnswer: b, -1\/7, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292809 to the power of 1\/2, to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*t + 17, -204*a + 26 = 4*t - 206*a. Solve t*c + 8 = -2*m, 3*c + 19 = -4*m + 13 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -19*t**3\/6 - 6*t**2 + 5*t. What are the prime factors of d(-6)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46260 and 3960?\nAnswer: 1017720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 - 2517*q**3 + 1614790*q**2 - 38748108*q - 40365416.\nAnswer: (q - 1246)**2*(q - 26)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**3 - 12*h**2 + 3*h + 7. Let y(x) = -x + 29 - 27 + 2*x - x**3. Let t(n) = -r(n) + 2*y(n). Calculate t(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**22)\/((q*q**26)\/q) assuming q is positive.\nAnswer: q**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6414, -6407, -6396, -6381, -6362, -6339, -6312?\nAnswer: -6281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of d**5\/30 - d**4\/8 - 4*d**3\/3 - 9*d**2\/2 - 7. Let h(y) be the second derivative of j(y). List the prime factors of h(6).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217714794 to the power of 1\/4, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00064022 to 5 decimal places.\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166827?\nAnswer: 3, 55609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 69 divided by 246\nAnswer: 23\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*y - 36, -4 - 16 = -3*b + y. Find the third derivative of 6*n**2 + b + 15*n**2 - 10*n**3 - 20*n**2 wrt n.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) 0.01 (c) -61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 2*o**5\/5 - 3*o**3 - 3. What is the third derivative of s(g) wrt g?\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)*-4)\/sqrt(2) - (sqrt(5) + -4 + sqrt(5)*-1))**2 + (sqrt(125) + 0)**2 + 4 + -3.\nAnswer: -32*sqrt(5) + 222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 48.02 + -47.94. What is the biggest value in -0.5, -5, -4\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1710\/(-30))\/(-19)*2\/(-8)*2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8\/39 + 22\/65. Let m = 2059\/9 - 229. Which is the second smallest value? (a) -0.5 (b) w (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14820*d - 102 - 1910*d + 104 as q*d + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5))**(24\/5) assuming y is positive.\nAnswer: y**(48\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*i + 301*i**3 - 200*i**3 - 36*i.\nAnswer: 101*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1698972859?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -104 - -107. Suppose -1 = -3*g + 14. Sort g, -5, -1, h.\nAnswer: -5, -1, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1687, 3387, 5087, 6787, 8487?\n\"Answer: 1700*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**4\/12 - j**3\/2 - 2*j**2. Let h(w) = w**2 + w - 1. Suppose -1986*a + 1989*a = 2*b + 14, -5*b - a = -16. Give b*h(c) - l(c).\nAnswer: 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -42 and -13900 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, u: 1, x: 2, v: 1}. Give prob of picking 1 u and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 262 (base 16) to base 6.\nAnswer: 2454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 835876 is divided by 3635.\nAnswer: 3461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -1. Let d = -34 - -32. Sort d, -4, h in decreasing order.\nAnswer: h, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -461955 bigger than -461954?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-105)\/(-7)*3\/5. Suppose 85 - y = 4*j. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 60, 76, 92, 108, 124?\n\"Answer: 16*c + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 266*7\/(-210) + (-464)\/2580\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*o + 14 - 0, -23 = -4*o + c. Suppose -n - 2*n = 0. Suppose n = -2*l - 0 + 4. Solve -4*z + l*w - 20 = -3*w, -5*z + o*w = 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21612.6377 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -171 + 175. Solve 3 = -f + 4*z, -2 = -5*f - z + o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*a + 24 = 0, 3*q - 33*a = -30*a - 18. Which is smaller: q or 17\/72?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*g + g - 4*g)*(4*g**2 - 3*g**2 - 8*g**2) + (30*g**2 + 7193 - 7193)*(2*g + 3 - 3) to w + d*g + u*g**3 + o*g**2 and give u.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7484222?\nAnswer: 2, 41, 107, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 15226*l - 15224*l = 18, 4*q + 5*l = -25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (18\/4)\/(-18*(-9)\/324)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (7 + -5 + 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 431 - 257. Let m = 186 - n. Let f(q) = 6*q - 8. Calculate the remainder when f(7) is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3502 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1.8, 0.1, -1.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 181904640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 12*l**2 + 11*l + 12. Let c be (52\/182 - (-166)\/(-42))*-3. What is z(c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**3)\/(c**(-2\/7)*c)*c**0*(c\/((c*c\/c**(-3\/11)*c)\/c)*c)\/c*c**(2\/11)\/c*c\/c**(2\/29)*((c*c\/(c**4*c))\/c)\/(c\/(c**(-6)*c)) assuming c is positive.\nAnswer: c**(-17583\/2233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(190) - -2*sqrt(190))*6*6)\/((sqrt(10) - sqrt(1000))*3*-6).\nAnswer: -5 + 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 678875903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*k + k - 28 = 0, p = -2*k + 28. Let w(o) = -24*o**2 - 17*o**2 + p*o**2. Let q(i) = -2*i. Calculate w(q(y)).\nAnswer: -52*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -230418665 + 230418660.00128802. Let k = y - 0.00128882. Let u = k - -5. Round u to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1483158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57020.98 + 57021.137000198. Let h = 230 - 230.157. Let u = p + h. Round u to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26102 take away 12?\nAnswer: 26090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 5)*(29*y - 48*y - 2 + 25*y) - y - y - y to the form b + r*y and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.349467038 rounded to 2 dps?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/1086 and 1\/36.\nAnswer: 6516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-7 - -4 - -2 - (-15 + 8)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*m + 8 - 4 - 11 = -7 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - k - 64 = 5*u, -u = -4*k + 33. Let y = u - -19. Let x(q) = 4*q - 6. Let a be x(y). Solve -b + a = b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 times 13429?\nAnswer: 1732341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 23*c. Let q(o) = -13*o. Let a(t) = -3*t. Let v(j) = 10*a(j) - 2*q(j). Determine y(v(x)).\nAnswer: 16*x**2 - 92*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 155 + -110. What is the greatest common factor of 5 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2381392 a multiple of 579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27180 divided by 6795.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -5 + 0 + (41 - 8) + -29\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23.6 + 24. What is the third biggest value in 0.09, -0.2, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*(sqrt(77) - (-1*sqrt(77) - sqrt(77))*4)\/(sqrt(11)*2*1) + -3.\nAnswer: -18*sqrt(7) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-2\/5)*v*v\/(v*v**7*v*v))\/(v**(-2\/7))**(1\/12)*v**(-1\/5)\/v**(1\/11)*(((v**(4\/3)\/v)\/v)\/v)\/(v*(v*v\/v**(-4\/5)*v)\/v) assuming v is positive.\nAnswer: v**(-9497\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 - 10*s**2 - 3*s**2.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4 + (-5 - (-105)\/5) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60934594.\nAnswer: 2, 7, 103, 42257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 51840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 518667084 a multiple of 2172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-260) + 6120\/(-195)*(-13)\/(-10725)?\nAnswer: -2\/275","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3054401? (a) 3\/8 (b) -1\/11 (c) -1 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/22 - 414\/(-99). Is (-1)\/j + (-819)\/(-12) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*6*sqrt(2)*-4.\nAnswer: 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*k - d = 1, 4*k + 5*d = 4. Let a(w) = w**3 - 6*w**2 - w + 7. Let r be a(6). What is the smallest common multiple of k and r\/5 + (-96)\/(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1168*g = 1205*g. Suppose k + y - 2 = 3*y, 4*k - 44 = -4*y. Solve 3 = 3*x + 5*t - k, -3*x + t - 13 = g for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 583577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -53*h*p*w - h*p - h - p*w - 2*w + 4 wrt w.\nAnswer: -53*h*p - p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 7*p - 4. Let x(a) = 5*a + 191. Let n be x(-39). Determine h(n).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -86*d**3 + 3583*d**2 + 797439*d - 399636. Let h(u) = 38*u**3 - 1791*u**2 - 398720*u + 199817. Let t(o) = -4*b(o) - 9*h(o). Factor t(s).\nAnswer: (s + 447)**2*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**8\/112 + 4*r**7\/35 + 3*r**6\/5 + 17*r**5\/10 + 23*r**4\/8 + 3*r**3 - 29*r**2. Solve h(l) = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18424 is divided by 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 140\/12*(-33)\/(-55).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -148 - -145. Let a be (u - 0)*(7 - 8). Solve -3*i - 13 = m - 0, a*i = -15 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23188305479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88\/300321 and -37\/1470.\nAnswer: 3003210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20244395, 20244396, 20244397, 20244398, 20244399?\nAnswer: 20244400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 405654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(768) + -1)**2 + -5.\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 12*s**2 + s. Let d be p(-2). Suppose -3*j + 65 + d = 0. Is 6\/9 - j\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1144332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*i - 25*i - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 0 = -5*h - 4*c, -5*h + 2*c = 10. Let w be ((-2)\/3)\/(h\/3). Let s(f) = -3*f. Let n(t) = -t**2 + 2*t. Let m(d) = -4*n(d) - 3*s(d). What is m(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -202 - -103. Find the common denominator of 1 - (2 - l\/48) and ((-62)\/(-4))\/(8\/3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)*x)**(-42) assuming x is positive.\nAnswer: x**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 346433677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -435622 + 410791504\/943. Find the common denominator of j and -33\/41.\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 288 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 + 15 + 9 + 9*n to the form m + o*n and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-399)\/38*(-16)\/(-28)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 163636, 163470, 163194, 162808, 162312?\n\"Answer: -55*b**2 - b + 163692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4430 = -4*r - 2*o, 2*r - o - 1100 = r. Is 5523\/5 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - (-1)\/((-3)\/(-21))) + -6. Suppose 2*g - 2*x - 1530 = j, 0 = 2*g + 2*x + 167 - 1717. What is the highest common divisor of g and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 6:05 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*o**2 - 19*o**2 - 1 - 6*o**2 - 16*o + 3*o**2 wrt o.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -104097.47 to the nearest 100.\nAnswer: -104100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*m - 44 = 68*m. Let a(u) = u**2 - 6*u - 7. Let d be a(10). Suppose 0 = d*n - 30*n + 3. Put n, m, 3 in descending order.\nAnswer: 3, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10100111010001101111 (base 2) to base 10\nAnswer: -685167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - x - 3*l + 32 = 0, -2*x + l + 14 - 22 = 36 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-6)\/(120\/(-25))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8419029 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 101*h + 78. What is the units digit of i(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5621*f - 5615*f - 30 = 3*d, f + 10 = -2*d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -430473 + 43?\nAnswer: -430430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -4 - -1)\/((-315)\/(-14))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 1650517352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + b - 8 = 94, -b = 3*x - 308. Suppose -x*t = -97*t - 204. Is 25 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qrqqrqrqxqxrqqr.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/3, 0, 5, 3\/8, -68?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23300327 and 528219.\nAnswer: 209702943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5840.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate x**2 - 64 - 3*x**3 + 14*x + 51 - 26 - x**2 wrt x.\nAnswer: -9*x**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101021210110102 + -1?\nAnswer: -101021210110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + -1 + 8 + 1 + (1 - 4). Let h(b) = b**3 - 2*b**2 - 12*b + 7. Let g be h(5). Solve g = 5*z - f for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*n = 5*n - 163, 3*v - 126 = -n. Let w = v + -15. Suppose -w = -r - 3*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12020 - 1112?\nAnswer: 10302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3277\/4 or 818?\nAnswer: 818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) 10285 (c) -9 (d) -3 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.267 + 0.297. Let p = 0.1 - 3.1. What is the nearest to d in p, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -0.2. Let i = 15383\/30774 - -2\/15387. What is the closest to -0.2 in i, q, 3\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 390 and 16510?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 131333131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1112021122002 (base 3) to base 13\nAnswer: -225b12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/14 - (-976)\/(-14). Let j be 2\/9 + l\/180. Let v = -7261 + 7261. Does v = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2075 and 231858425.\nAnswer: 2075","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from ruuurrrrruru.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -l + 6. Calculate the remainder when 3 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**4 - 2*o**5 + 0*o**4)*(3 - 4 + 3) - 1 - 2382*o**2 + 64*o**5 + 2382*o**2.\nAnswer: 60*o**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 42, 61, 66, 51, 10?\n\"Answer: -w**3 - w**2 + 29*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-9 - (-4 + -4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, t: 2, l: 6, o: 3, a: 2}. What is prob of picking 1 a and 2 d?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 58*o - 15 + 29 to the form g*o + a and give g.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 17\/4 of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*i + 25 = -3*d, -2*d - 9 = 5*i. Let s be 4 + -8 + 118428*d. What is s rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 37*w**2 - 13. Let r(n) = -121*n. Calculate m(r(v)).\nAnswer: 541717*v**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1142?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 1)*(8 - 5 + 8 + c + (-3*c + c + c)*(1 - 3 + 3) - c + 1 - 1) to z + d*c and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - g + 46588 = 0, 0 = -2*p + 7*g - 9*g + 23294. Suppose -5*w - 10*v + 14*v + p = 0, -4*v + 6969 = 3*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 21 = -6*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 15. Suppose -4 = 5*s - 29. Solve -d = -0*d + 3*i + w, -2*i = d + s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1530 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/9))**(-12)\/(d**1\/d*d*d**(-7\/2)) assuming d is positive.\nAnswer: d**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 14*m - 553. Determine o(43).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gumrpmf. Give prob of picking 1 p and 1 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 1145*i**9\/252 + 136*i**5\/15 - 794*i**2 - 3*i. Find the third derivative of k(y) wrt y.\nAnswer: 274800*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3344416 - 612?\nAnswer: 3343604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -42332778, -42332779, -42332780?\n\"Answer: -n - 42332777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 5*h**4 + h**3 - 5*h**2 - h = 0.\nAnswer: -1, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 33 = -2*l, 27*j + 18 = 26*j + 25*l for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 = -8*x + 5*t, 22*x - 26*x = -4*t - 120. Solve n = -x*a + 28*a - 26, a - 2 = -3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 735.2267ml to litres.\nAnswer: 0.7352267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 1. Let f(s) = s**2 - 13*s - 49. Let p be f(16). Let a(n) = 3*n**3 - 12*n**2 + 12. Determine p*a(j) + 12*r(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 7 = 1. Suppose 12 = i*u - u. Suppose -5*w = -4*j - 17, 2*j + 0*j + u*w - 24 = 0. Solve 0 = -3*b + j*t - 20, 0 = -3*b + 2*b - 4*t + 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 16 = -4*s + 4, 4*m - 17 = -3*s. Let u be (40\/30)\/(2\/(-3)). Sort -4, u, m in decreasing order.\nAnswer: m, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 12204379?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(65)*-1 + sqrt(65) - sqrt(65)) + sqrt(65) + sqrt(65)) - sqrt(65))\/sqrt(180) - ((sqrt(13) + 3)*-2*-5 + -4)**2.\nAnswer: -1976 - 521*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 323003 - 132353?\nAnswer: 150210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z + 55. Let m(p) = -7*p - 110. Give 6*m(o) + 11*w(o).\nAnswer: 2*o - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 18*l**2 - 11*l + 28. Let k be h(0). Solve -13*t + k = 93 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 397, 354, 397, 568, 909?\n\"Answer: 7*m**3 + m**2 - 95*m + 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**4\/24 + 11*o**3\/6 - 16*o**2. Let b be g(14). Let m(q) = -q**2 - q + 3. Calculate m(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4686 divided by -142\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -750*m**3 - 18*m**4 + 8 + 750*m**3 wrt m.\nAnswer: -72*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 4:27 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 7. Suppose -6*r = -8*r + 2*p - 32, 2*p + 4 = -r. Let l be (r\/15)\/((-1)\/5). Suppose -l*q + 21 = -q - 5*u, -3*q + 2*u = -21. Give i(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011001110221 (base 3) to base 2\nAnswer: -10010101001110110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56388 - -82398. What are the prime factors of y?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.085 - 0.08499897. Round n to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41908035.\nAnswer: 3, 5, 13, 214913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 2*j = 1 - 14, 3*w + 4*j + 5 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 914, 915, 916, 917?\nAnswer: 918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21091 and 2530?\nAnswer: 2320010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931)*1)**2 + (sqrt(1539)*1)**2.\nAnswer: 2470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 v when three letters picked without replacement from nzzzzznvvn?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -18. Suppose -10 = -s*u + 2*u. Let o(m) = -m**2 + 6*m - 5. Determine o(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 5531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 930.198l in millilitres?\nAnswer: 930198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 27, 32, 49, 84, 143, 232?\n\"Answer: a**3 - 2*a + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/22 + (-96471)\/297. Let m = d + 339. What is the remainder when 50 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4444 - 2465. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 237*p**7\/14 - 7*p**4\/6 + p**3\/2 - 418*p - 2. Find the third derivative of m(z) wrt z.\nAnswer: 42660*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26276 (base 8) to base 15.\nAnswer: -35d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -94 + 100. Let l = 7.2408274 - 1.2408275. Let r = i - l. What is r rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-165)\/35 + 5)*7. Factor -3\/7*j + 0 - 1\/7*j**l.\nAnswer: -j*(j + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1\/4, 16, -5, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -477*u**2 - 2. Let j be s(1). Let v = j + 521. Calculate the greatest common factor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 6 = 0, -3*i - 2 = -0*i - 5*j. Let d be 2\/2 + 7 + i. Solve -8 = 2*t - d*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, b: 4, m: 2, y: 4}. Give prob of sequence mwm.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 10:28 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 20 = 3*y + 4*f, 3*f = 2*y - 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 7:58 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5972551 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1307\/10)\/((-7)\/14). Let y = 263 + u. What is the common denominator of -11\/3 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3330*c**3 - 20515*c**2 + 50070*c + 8560 = 0.\nAnswer: -8, -107\/666, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4\/47 + 67\/235. Suppose -2*t + 4 = -t, -t = -3*n - 13. Let j be n*8\/36*6. Which is the third smallest value? (a) 0.5 (b) j (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 68*c**2 + 32176*c + 5676.\nAnswer: 4*(c + 473)*(17*c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-7)\/((-1183)\/988)) + (-602)\/26?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/1 - (-55)\/22.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 6 = -3*t + 7, 3*w + 2 = t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25\/3*c**3 + 5*c**2 + 10\/3*c + 0.\nAnswer: -5*c*(c - 1)*(5*c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10055 - 90497\/9. Which is the closest to u? (a) -0.7 (b) -2 (c) 4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -11*p**3\/3 - 2*p. Let h(x) be the second derivative of x**4\/6 - 248*x. Give t(h(k)).\nAnswer: -44*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53*m - 77 + 356 + 1364 for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -18.2 * 0.3\nAnswer: -5.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36.01 + 36. Put 5, 0.5, 3, t in descending order.\nAnswer: 5, 3, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5910*g + 5915*g - 35 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(1584)*3)**2 - (-5 + 2 + sqrt(1100))) + -3.\nAnswer: -10*sqrt(11) + 128304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-216)\/(-135)*((-6)\/(-2))\/12\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 8 + 15580\/(-1425)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**6\/120 + j**5\/20 + j**4\/12 + 5*j**2\/2 + 5*j. Let f(z) be the first derivative of v(z). Find a, given that f(a) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25452168*d**3*q + 2*d**2*q - 2*d**2 + 6423742*d*q wrt d.\nAnswer: -152713008*d*q + 4*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/135327 and -22\/7423.\nAnswer: 1759251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 g when three letters picked without replacement from {a: 4, g: 6, s: 2, w: 1, t: 2, c: 2}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11, -143, -527, -1289, -2555, -4451?\n\"Answer: -21*y**3 + 15*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1751*o**2 + 1692*o**2 - o - 3472*o**2.\nAnswer: -29*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -125, -70 in decreasing order.\nAnswer: -1, -70, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7622794 times -45?\nAnswer: -343025730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 3984*u + 43461.\nAnswer: 3*(u + 11)*(u + 1317)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**5 + 407*b**4 - 3299*b**3 + 8693*b**2 - 9122*b + 3320 = 0.\nAnswer: -415, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 348 * 1594\nAnswer: 554712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/((2 - 1)\/(-1)). Let s = 22 - 11. Suppose 0 = -m - i + s. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 230529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 12:07 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -655 - -263. Let a = q + 568. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 3*v - 2*v)*(-3 + 25 + 26).\nAnswer: -336*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -62373*k**2 - 200893 wrt k?\nAnswer: -124746*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/4 - (-14)\/8. Let k = 1\/1715 + 683\/5145. What is the closest to -2\/5 in -1\/3, k, h?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -60\/11 + 2\/11*w**2 - 26\/11*w = 0. What is w?\nAnswer: -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -238*g**4 - 78*g**4 + 425*g**4 + g**4 + 0*g**4 - 3*g**4 + (2*g - 1 + 1)*(2 + 2*g**3 - 2) to the form c*g + b + w*g**4 + o*g**2 + t*g**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 0*f + 0*f)*(-4 - 1 + 2) - 3*f + 0*f + 2*f + 2*f + 4 - 4 + 3223 - 3223 - 49*f + 3 + 2*f - 3.\nAnswer: -43*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.743 + -9.23. Let o = -0.113 + n. Which is the closest to -3? (a) 1 (b) o (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 358*s**2 - 2*s**4 - s**4 + 373*s**2 + 2*s**3 - s**3 - 748*s**2 to the form h*s**4 + n*s**2 + w*s + v*s**3 + c and give n.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 173 in increasing order.\nAnswer: -3, 4, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.083548 times 0.2\nAnswer: -0.0167096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14484700 or -188301090\/13?\nAnswer: -14484700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1884 at most 9418\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = -0*p - 21*p - 6*p. Which is the fourth biggest value? (a) 1\/5 (b) -62 (c) 5 (d) 1 (e) p\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3626302 is divided by 2112?\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 8 = 1. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/(-6)*2862\/36. Let g = -118 + n. Let p = g - 11. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7780, -15546, -23310, -31072, -38832, -46590?\n\"Answer: b**2 - 7769*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 873 is divided by 217?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3821400.963799 and -0.1.\nAnswer: 3821400.863799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 14, v: 5}. Give prob of sequence vwv.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k + 7. Suppose 0 = 5*g - 5, -5 = 2*y + 4*g + 1. Let l be s(y). Let d be 0*l\/(-4) - -7. Is 6 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/9 + 1)*(-4 + 7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 98, 372, 828, 1466?\n\"Answer: 91*g**2 + g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -750 - -35714?\nAnswer: 34744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32\/47633 or 1?\nAnswer: -32\/47633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 - 5*g - 11. Let t be m(-3). What is the common denominator of -1*(-4)\/t + (-1440)\/704 and 2\/4*67\/1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -67, -524, -1753, -4138, -8063?\n\"Answer: -64*v**3 - 2*v**2 - 3*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -18adb04?\nAnswer: 18adb0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-364)\/117 - 1\/(-9). Let w be (-6)\/33 + s + 268\/22. Solve 0*y - 3*y = w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2. Let d(u) be the second derivative of -613*u**4\/6 + 441*u. Calculate t(d(m)).\nAnswer: -1503076*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10279932 and 275132.\nAnswer: 113079252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, x: 6, v: 6}. Give prob of picking 2 x, 1 j, and 1 v.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 1374 = -4*p, -5*r + 849 = 2*p + 207. Calculate the greatest common factor of p and 4956.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1dc (base 16) to base 2.\nAnswer: -111011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43263\/14 + -3094. Let s(r) = -2*r**2 + 30*r - 18. Let v be s(15). What is the common denominator of (1 + 73\/(-6))\/((-156)\/v) and q?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.653 greater than 88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 308592?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -51*c. Let m(v) = -546*v**2 + 273*v**2 + 269*v**2. What is y(m(q))?\nAnswer: 204*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 4, 2\/3, -50, -0.02 in ascending order.\nAnswer: -50, -0.3, -0.02, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + -2 - 1*-5. Let x = 6 - l. Suppose 20 = -x*j + 5*j - 4*i, 0 = -3*j + 3*i + 12. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*b - 12*b + 120 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(4\/9))\/(r*r**(-7))*r**(-7\/5)\/r**(1\/5) assuming r is positive.\nAnswer: r**(308\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 71356616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 107 + -110. Let s be (-23)\/18 + 177\/118 + (-34)\/(-9). Let n be ((-6)\/(-8))\/(10\/(-8)). Sort s, r, n, 0 in descending order.\nAnswer: s, 0, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2)*(-9 - -10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -79606, -2, -7, 3, -3 in descending order.\nAnswer: 3, -2, -3, -7, -79606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6966.388 rounded to the nearest 10?\nAnswer: -6970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 6*h. Let t be x(5). Let d = 46 - 50. Which is the biggest value? (a) -1\/2 (b) d (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.029 + 9.771. Let c = 10 - m. Let v = c - 0.1. What is the nearest to -0.1 in v, -2\/3, 1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -14. What is the remainder when 3\/j*2 - -95 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -178, -719, -1612, -2851, -4430, -6343?\n\"Answer: d**3 - 182*d**2 - 2*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + z - 2)*(-2*z + 2*z - z) + 6*z - 6*z**2 - 6*z.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26220 and 24.\nAnswer: 52440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, -6, 0.5, -891?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7795236 and 101040?\nAnswer: 155904720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 4, -20 in descending order.\nAnswer: 4, -16, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4109*s - 9070*s - 2 - 35176*s.\nAnswer: -40137*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22117 - -16957. Which is smaller: 0.2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 30 + 10. Let x be ((-20)\/6)\/(4\/(-6)). Suppose o*v = x + 15. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(-4))\/((-18)\/72). Let d(q) = -q**2 + 10*q - 10. Let y be d(x). Solve -3*n + 0 + y = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2591, 2925, 3259?\nAnswer: 3593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (0 - (-1 + 7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -c + 2*w, 0 = 4*c - 5*w + w. Suppose -2 = 3*p + 2*x, -2*x - c*x = p - 8. Let t be 234\/14 - p\/7. Solve 28 = -s + 5*y, -5*s + 2*y = 8 + t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120554.\nAnswer: 2, 7, 79, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (37 - (9 + 31)). Let 16\/25*t**3 - 2\/25*t**4 + d + 4\/5*t - 34\/25*t**2 = 0. Calculate t.\nAnswer: 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74809.\nAnswer: 7, 10687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156009 is divided by 12993.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1281*42216.4.\nAnswer: 54079208.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -296 by 8.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2579*y - 9351 + y**2 + 9353 - 4*y**2 + 2*y**2.\nAnswer: -y**2 - 2579*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -0*r - l - 3, l - 1 = -r. Suppose 6 = -2*n, 0 = 4*u - r*n - 14 - 216. Suppose -w = w - 16. What is the highest common divisor of w and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 122, 128, 136, 146, 158?\n\"Answer: r**2 + 3*r + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/6, 2\/15, -8.6?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112970*r**2 + 56482*r**2 + 56483*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 12:17 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 33*r**2 - 6*r - 69. List the prime factors of y(11).\nAnswer: 2, 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -13. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddiridrdrddrdr. What is prob of picking 2 i?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/17)*f*((f**(-7)\/f)\/f)\/f*(f**(2\/5))**(6\/11) assuming f is positive.\nAnswer: f**(-8321\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**2\/2 + 480835*n\/2 - 1923180 = 0. What is n?\nAnswer: 8, 96159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/2)*w*((((w\/((w**(3\/4)*w)\/w*w)*w)\/w)\/w)\/w*w)\/w*w*(w**2\/w)\/(((w*w**(-2)*w)\/w)\/w) assuming w is positive.\nAnswer: w**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 3*f = 104. Calculate the remainder when 42 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29122.9999995852 - -29123. Round f to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 6734?\nAnswer: 1\/3367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = p - 5*u + 170, -4*p = -5*u - 180. Suppose 8*y - 28*y + 80 = 0. Let t be (4\/y - -1)*5. What is the highest common divisor of t and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111557196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -15. Let g = -17 - -19. Let r be g\/(-8) + (-1)\/(-4). What is the closest to r in -0.1, o, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -10. What are the prime factors of 349\/13 - (-2)\/k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-2)*(-16)\/(-5). Suppose -2*q + 4*t = -3*q + z, -5*t + 13 = -3*q. Let u(c) = -1 + 2 - q*c**2 - 1. Let x(m) = -3*m**2. Determine x(u(b)).\nAnswer: -48*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (5 - (-3 + 67) - (-48 - -65))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*f = 322*f - 357 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4459 and 3929835?\nAnswer: 3934294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 43206*k**2 + 172849*k - 41. Determine o(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -234 + 468\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2302 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 16. Calculate i(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 39a?\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a + 2 + 2*a + a)*(-6*a**3 + 11*a**3 - 45*a**3) as q*a + l*a**3 + d*a**2 + g + s*a**4 and give s.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15473*j**2 + 15478*j**2 + 2 - 34*j - 6)*(1 - j + 0*j - 2) as a + w*j**3 + n*j + u*j**2 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 153 = 5*d, 3*p - 2*d = 3*d - 141. Let m = -39 - p. Solve 4*q = m*q - 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -26065768, -26065759, -26065744, -26065723, -26065696, -26065663?\n\"Answer: 3*u**2 - 26065771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/6 - ((-4)\/(-14))\/((-44)\/77). Solve q = 12*z - 4*z + 48 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4449507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219778021.\nAnswer: 219778021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37573.55l to millilitres.\nAnswer: 37573550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*f + 36*f = -18 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100830, 100593, 100206, 99675, 99006?\nAnswer: 98205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2311 - -2381 - (43 + (-2 - 0)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3\/2*j**2 - 99\/8*j - 3 = 0.\nAnswer: -8, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, z: 7}. What is prob of picking 2 j?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 805 + 459 - 154)*(-2*o**4 + 2*o**4 - 2*o**4) in the form s*o**2 + m*o**3 + j*o**4 + v + n*o and give j.\nAnswer: -2218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.693393ml to litres.\nAnswer: 0.005693393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/16191 and -76\/15.\nAnswer: 80955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*s - 11 = 0, -2*s = -k + 5 - 0. Find the third derivative of 2*u**2 - 5*u**k + 3*u**3 - u**2 wrt u.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 2*g**2 - 18 + 6.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -244 - 140?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 16) to base 5.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.092457 - 0.01392.\nAnswer: -0.106377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 6*l**2 + 3*l + 1. Let o(v) = -5*v**2 - 30*v - 1. Let r be o(-6). Determine p(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-10))\/(6\/2340). Suppose d = a - 2*a + 60, 5*d - u = a. What are the prime factors of d?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 - 3*p**2 + 3*p**2 + 9*p**2 + 33*p**2 - 7*p**2 + (0*p**2 + 2*p**2 - 3*p**2)*(-2 - 2 + 5) to j*p**2 + r*p + u and give j.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 2*g**2 - 2\/3*g + 8\/3*g**3 = 0. What is g?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16469066 or -16469064?\nAnswer: -16469064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -447? (a) -4 (b) -2\/11 (c) 3 (d) 3\/4 (e) 43\/5 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*l**4 + 35*l**3 - 175*l**2 - 95*l + 210 = 0. What is l?\nAnswer: -3, -7\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l**2 + 11*l - 17. Let g(h) = 2*h**2 - 5*h + 8. Let d(r) = -7*g(r) - 3*y(r). Let a(s) = -s - 1. Let m be a(-3). Suppose -u - 6 = -m. What is d(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39096*y + 39097*y - k = 11, -45 = -8*y - k - 11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-444 + 2)\/(-9 - (-18 + 19)) + (-484)\/220?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 37 = -3*b - 5*x, 4*b - 4*x = -28. Let u(y) = -y - 7. Let z be u(b). Put -3, 3, z in decreasing order.\nAnswer: 3, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = p - 3. Let s be -2 - -19 - -1*p\/(-4). Let d = s + 37. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, s: 1, z: 1, x: 1, y: 4, r: 2}. What is prob of picking 2 n and 1 y?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 39*a**2 + 2*a + 1. Let l be b(-1). What is the greatest common factor of l and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 11963\nAnswer: -4\/11963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d (base 15) to base 10.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*i**2 - 108*i + 351*i - 34*i - 7 + 444*i in the form b*i**2 + q*i + v and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3104147*d**4*i**3 + 2*d**2*i**3 + i**3 + 130*i**2 + 3*i + 47569 wrt d.\nAnswer: 12416588*d**3*i**3 + 4*d*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 1:47 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 53\/4 - 1\/4. Let o be -2 + (2 - 3)*y. Let d be (-18)\/o*20\/6. Solve 2 = -q, d*q + 10 = n + n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 375.6 - 254. Let g = 118 - l. Let p = -3.3 - g. Which is the third biggest value? (a) -1\/2 (b) p (c) 6 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + -0.9. Let f = -3.4 - -3. Let r = f - n. What is r rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -80100 to the nearest 1000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2560707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*w + 0*w + 3 = 0, -3*b - w + 7 = 0. Let m(p) = -3*p**2 - b*p + 2*p + 2*p**2. Let g(j) = -4*j**2. Determine m(g(x)).\nAnswer: -16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38321 is divided by 50.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -17646*j - 2347. Is a(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x - 3*x + x + (3 - 2 - 2)*(5 - 5 + x)*(0 - 5 + 0).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2. Let f(r) = 22*r**2 - 4*r + 4. Let g(i) = -21*i**2 + 5*i - 5. Let s(m) = -5*f(m) - 4*g(m). Give s(h(k)).\nAnswer: -26*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/12 and -37\/282.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 6*b - 5. Let p be d(5). Suppose -4*q = -k - k - 12, 2*q - 22 = 5*k. Sort p, q, 4 in descending order.\nAnswer: 4, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -1\/3*p**3 + 0 + 3\/2*p**2 + 2*p. What are the prime factors of n(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {x: 1, i: 18}.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-1\/11)\/d))\/(((d\/((d**41*d)\/d))\/d)\/d) assuming d is positive.\nAnswer: d**(485\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 2*s + 245. Let j be u(17). What is j rounded to the nearest integer?\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z + 19. Let y = 74 - 44. Suppose 2*s - 8*b - y = -3*b, -s = b - 8. List the prime factors of n(s).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20.631 - -10\nAnswer: 30.631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -667\/444 + 1\/444. Which is the second biggest value? (a) i (b) 2 (c) -0.3244\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 12 = -36. Suppose -4*j - 5 + 16 = -3*u, k*u - 2 = -3*j. Solve -8 = -4*a, -4*a + 0*a = j*i - 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21313\/48 + -444. Let s(b) be the second derivative of 0 + 0*b**2 - r*b**4 + 1\/24*b**3 - b. Solve s(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1600)\/30)\/16*((-1032)\/5805)\/(2\/(-12))?\nAnswer: -32\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -11*g - 21. Let u(q) = -29*q - 64. Let w(d) = 8*t(d) - 3*u(d). What is w(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/50 and 31\/1226208?\nAnswer: 30655200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5*l - 2, 2*l = 5*b - 0*l - 6. Suppose -5 = 4*c - r, 2*r = 5*c - r + 15. Suppose -b*o + 66 + 34 = c. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.17 + 0.06. Let c = 5 - 4.96. Let m = r + c. Round m to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-63))\/(515\/3090).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*p - 77 = 0, 20*g - 18*g + 5*p - 54 = 0. Suppose -25*x = -g*x - 160. Solve -3*s - 2*s = 3*t + 32, 0 = 4*t + s + x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(338\/172 - 2). Let q = 3\/3088 - -67855\/83376. Calculate the common denominator of q and (x\/4)\/(-92 + 95).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/147 and -82\/63?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -2\/15 (c) -5\/11 (d) 370\/9 (e) -5 (f) -1\/3 (g) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 7*v - 7. Let q be (-57)\/21 - (-4)\/(-14). Let s be (-486)\/90 + q\/5. Give x(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 - 2*p + 2*p)*(9*p + 64 - 64) - 4*p - 3*p + 6*p + 35*p**3.\nAnswer: 71*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**3 - 1043*d**2 + 779*d + 266. Determine z(260).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of ((-91)\/14)\/(2\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32.964292 * -0.3.\nAnswer: 9.8892876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 38bb20 (base 13) in base 7?\nAnswer: 14426363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/2426632 and 31\/4246606?\nAnswer: 16986424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.033 + 1.67.\nAnswer: 1.703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.95 + 0.05. Let j = l + -2.01. Let z = j + 0.042. What is z rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**6)\/v**(-1\/14))**(-1\/81)*(v*v**(2\/3))**(-2\/13)*v**(-3)*v\/v**(2\/9)*v assuming v is positive.\nAnswer: v**(-285\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 3. Suppose p - h*p = -7. What is the greatest common factor of p and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u - 48 = 16*u. Suppose 0 = -4*n - 4*o - 4, 0 = 2*n - 5*o - u - 11. Is n less than or equal to 22\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6*n + 7. Let z be d(4). Let x = -32 + z. Which is the third biggest value? (a) 2 (b) x (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 4 - 4)*(-47*z**2 + 0*z**2 + 0*z**2)*(-1 - 5 + 9)*(-16 + 16 + 17*z).\nAnswer: -4794*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 3*w - 8. Suppose 0 = -w*u - 2*k + 12, u + k = 6*k - 24. Solve 2*p = -2*q - 1 - u, 0 = -p - 2*q + 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/131 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3*m + 3)*(9*m**3 + 11*m**3 + 3 - 7*m**3) in the form c*m**4 + v*m**3 + s + a*m**2 + p*m and give c.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/5 - (6 - (-252)\/(-30)). Solve j = -4*a + 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -239.998616 - -240. Round f to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-6)*((-12)\/14)\/(116\/203).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 b, 1 p, and 1 u when four letters picked without replacement from {u: 1, b: 1, m: 1, p: 1, s: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 w, and 2 b when four letters picked without replacement from ctbtwb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 436*j + 9688. Let g(c) = 2*c**2 + 437*c + 9686. Let k(m) = -4*g(m) + 3*x(m). Factor k(d).\nAnswer: -5*(d + 44)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 4 + 0)*(113*s + 48*s - 92*s) in the form t*s + f and give t.\nAnswer: 759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 4. Let t(c) = c**3 + 8*c**2 + 8*c + 9. Let g be t(-7). Find the second derivative of 3*u**2 + u**g - u - 2*u**b wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 297000 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1793663?\nAnswer: 1793663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 7 = -2. Let p be 5\/((-20)\/12) - m. Let c = -1931\/42 + 46. Is p <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 15) to base 3\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-352 + 1241 + 781 + 434 - 302)*(-32 + 32 - u)*(-2 + 1 + 3).\nAnswer: -3604*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 7446*t**2 + 7425*t + 44658.\nAnswer: 3*(t - 2481)*(t - 3)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20073880987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 26870?\nAnswer: 752360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -719 - -729. Suppose -2 = -x + 63*s - 59*s, 0 = 5*x - s - r. Factor 2\/7*h - 2\/7*h**3 - 2\/7*h**x + 0 + 2\/7*h**4.\nAnswer: 2*h*(h - 1)**2*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35376, -35398, -35420, -35442, -35464?\nAnswer: -35486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -3. Suppose 232 = w*p - 2*r, 5*p - 5*r = 4*p + 112. Is p a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 3030.8?\nAnswer: -12123.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -2\/7 (c) -1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3882733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31.9 + -291.6. Let o = p - -324. Which is the third biggest value? (a) o (b) 1\/4 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -2 + sqrt(10)\/sqrt(5) + (sqrt(2) + 0 + 5)*-3)*6)**2 + 0.\nAnswer: 3024*sqrt(2) + 16164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/4)\/((-6)\/(-16)) - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = j + 1, 0 = -148*y + 144*y - j - 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 1)*1*-6. What are the prime factors of g\/(-10) + 7\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -y + 37, 0 = -2*y + 21*r - 22*r + 79. Suppose 5*n - 11 = 4*g + 76, -3*g = -2*n + y. Solve -5 = 4*j + n for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 38\/((-646)\/(-561))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6*g - 11449 = -2*k, 19080 = 5*g + 5*k. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -28*p**2 + p. Let x(z) = -z. Give m(x(v)).\nAnswer: -28*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 11:36 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 6 = b, 0 = 6*f - 3*f - 5*b - 35 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93284.76 weeks to days.\nAnswer: 652993.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001344 to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 111885 - 111885 - 2*r - 27*r**3 to n*r**3 + s*r**2 + k + c*r and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqqyq. Give prob of sequence qqqy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21990 divided by 6.\nAnswer: -3665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -195*s**4 - 22*s**5 - 188*s**4 + 442*s + 3*s**2 + 355*s - 13*s**5 + 4*s**3 + 34*s**5 wrt s?\nAnswer: -60*s**2 - 9192*s + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51352393163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 130008*h**2*o**2*v - 12*h**2*o*v + 53*h**2*o - 2*h**2 + 17*h*o*v - h*v + 3*o**3*v + o wrt o?\nAnswer: 260016*h**2*v + 18*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + t**3 + 2*t**2 - 8 + 2*t - 5 - 4*t in the form u*t + s*t**3 + p*t**2 + n and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -114003 - -4 - (-1 - -2). What is d rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-6))\/(18\/(-27)). Let w(u) = -u**3 - 2*u**2 - 5*u - 3. Let f be w(-3). Suppose -j - 5*z = f, -3*j - 3*z - 17 = 2*j. Which is bigger: i or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64106561 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1665211 = 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2689909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 53623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 3*l = 0. Let h(t) = -t**3 + 4*t**2 + 2*t - 3. Let c be h(4). Suppose -5*a + 2 = -c*o - 3, -3*a - 13 = 5*o. Which is smaller: l or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 152\/23 - 1813\/69. Calculate the common denominator of -218*5\/(-200) - (-3)\/(-4) and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c1 + -1c319?\nAnswer: -1c5da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 186152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1919 divided by -572285?\nAnswer: -1919\/572285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/7, -2, -10\/7, 3, 2\/10441?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 0 + -4 + (-2 - -8) + 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/18 and (67\/60)\/(2349\/324).\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 125\/4 - 31. Let g(y) = -y**3 - 6*y**2 + 11*y + 4. Find the common denominator of g(-8) and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6*q**2 + 30*q + 116. Let o(d) = -14*d**2 - 61*d - 234. Let g(a) = 5*h(a) + 2*o(a). Calculate the remainder when 51 is divided by g(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6158843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 1, 2\/35, 7\/2 in descending order.\nAnswer: 7\/2, 1, 0.2, 2\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 26\/5 of a milligram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r. Let y(v) = -v**2 + 3*v. Suppose -4*t = 5*t - 189. Let f(h) = 75*h - 31*h - t*h - 21*h. Let j(w) = 3*f(w) - 2*y(w). What is j(o(n))?\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/(-2) - 1)\/(63\/1302). Suppose 5*d = -o + t, -o = 2*d + 3 - 19. Suppose m - o = -3. Solve 0 = m*k + 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -179 - -182. Let m be -1 + (-2 - -4 - j)*-1. Determine n so that -1\/3*n**5 + 0*n + 0*n**4 + m + 1\/3*n**3 + 0*n**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/3*(-25)\/(-40)*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w. Let b(a) = -24*a - 20. Suppose 2*i = 4*i. Let s(z) = -z + i - 3 + 4 + 2*z. Let u(k) = -b(k) - 20*s(k). Determine d(u(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 2*n + 142, -24*i + n = -29*i + 202. Solve -z + 2*x = 0, -2 = -3*z - 37*x + i*x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6*n**2 - 20*n + 14*n - 5*n**3 + 4*n**3 + 6. Give t(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 27. Let v = -22.1 + 22.2. Let x = 2 + -6. What is the closest to v in x, 2\/13, o?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m + 477*m**3 - 35 - 237*m**3 - 2*m**4 + 2*m**2 - 238*m**3 as q*m**2 + c*m**4 + u + n*m + l*m**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 580 and 870.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**5 - 150*y**4 - 1634*y**3 - 5538*y**2 - 6120*y = 0. What is y?\nAnswer: -4, -3, 0, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*b = -17, -25 - 51 = -4*l - 4*b. Is (-43)\/(-2) + 21\/l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2673, 10655, 23947, 42549, 66461, 95683?\n\"Answer: 2655*x**2 + 17*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 14. Suppose 0 = -0*c - 2*c + 24. Suppose o = -49 - c. Let j = 61 + o. Give h(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 10:47 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 - 210949 + 210949.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 k when two letters picked without replacement from {h: 6, z: 2, k: 5, b: 2, a: 1, f: 3}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14357\/474 - 43\/79. Let j = c + 1\/3. Find the common denominator of j and (2\/(-24))\/(2\/(-172)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 37 - 10 = 0. Let s = 31 - o. Let i(w) = w**3 + 7*w**2 + w + 3. Let v be i(-7). Which is the third smallest value? (a) -2 (b) s (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 3*y + 5*q, 4*y - 615*q = -316*q - 303*q - 4 + 24 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v = 4*v + v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296*w + 301*w - 20 = 0. Suppose -m = -w*i - 10327, m - 30930 = -2*m - 5*i. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -10477 - 1971. Let t = -966 + a. Is t a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((3 - -2) + -3)\/(-4)*-10. Suppose 3*n + 4*q - 8*q = 19, -3*q = 5*n - 22. Solve -o*p + n = u, -3*p - 10 = -2*u + 2*p for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 - 39 - (-2 - 3 - 0 - -5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19545 by 3909.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20651545 - 2472321 = 56*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 2*m - m. Let t be (-157 + -9)*(-1)\/(-2). Let v = t + m. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4275 - -4?\nAnswer: -4271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 57078889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/27)\/(3\/(-27)*-6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -15, 2, -1, -1128 in decreasing order.\nAnswer: 5, 2, -1, -15, -1128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -635, -636, -637, -638, -639, -640?\n\"Answer: -y - 634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-2) - 1 - -6. Suppose -4*z - h = -25. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*c + 6. Suppose 5*r - 4*m - 8649 = 0, r + c*m - 7*m - 1713 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j**3 + 3001912*j**2 - 54039276*j + 243184032 = 0 for j.\nAnswer: -750568\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -16. Suppose i*h = 3*h. Suppose h = -4*f - 4*x, 0 = -f - x + 4*x + 12. Solve 3*p + 6 + f = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 11 + 11 - 20 - 4*p + 22 + 24. What is q(13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 10*f - 2. Let i be d(-2). Let c = 18 - i. Suppose -4*y = y - c. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 0*g + 2. Suppose 4*m + 2*h - 20 = 4*h, 4*m = -g*h + 36. Solve 3*z + 14 = 5*u, -2*u + 18 = m*z - 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*b**2 - 295*b**2 + b**3 + 149*b**2 + 4*b**2 - 6*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 2*p**2 - 4. Is 14 a factor of x(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.456 and -38872.\nAnswer: -56597.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + (sqrt(448) - (2 + sqrt(448))))**2 + 1)*4.\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -38*h - 31*h + 72*h. Let r(o) = o + 2. Let a(n) = 10*n + 11. Let x(z) = -a(z) + 5*r(z). Calculate x(w(i)).\nAnswer: -15*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -10*a + 1. Let v be c(0). Solve -f = 5 - v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -7*q**3 - 115*q**2 - 46*q - 13. Determine n(-16).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6723*q**5 + 4*q**3 - 35331*q**2 wrt q.\nAnswer: 403380*q**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence knnc when four letters picked without replacement from {z: 1, k: 3, c: 3, n: 4}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 5 (b) -1 (c) 1\/3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqiiiqiqb. What is prob of picking 1 q, 1 b, and 1 i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 245, -1, 100 in descending order.\nAnswer: 245, 100, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 13. Suppose 8*d - 16*d = -32. Let o = d - l. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 0.961.\nAnswer: 3.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/15341156 and -91\/494876.\nAnswer: 15341156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 96 - 2*x - 53 + 98 - 3*x. Let l be j(27). Solve 6 + l = 4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -270 or -404?\nAnswer: -404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 6*z**2 + 2. Let k(y) = 62*y**2 + 25. Determine -33*h(s) + 3*k(s).\nAnswer: -12*s**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 3*y**2 - y**3 + 0*y**3 - 6*y + 2 + 3*y. What are the prime factors of j(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.164504486 to 5 decimal places.\nAnswer: 0.1645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 7*r**2)*(2*r + 7*r + 4*r) to the form u*r + w*r**3 + t*r**2 + x and give w.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*u**4 + 1204*u + 5845.\nAnswer: 12*u**3 + 1204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/(-2070)*10)\/((-3)\/((-18)\/(-4)))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -235*g - 23. Is x(-18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -186*b + 4. Determine t(1).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1575495, -1575531, -1575567, -1575603, -1575639, -1575675?\n\"Answer: -36*h - 1575459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 32) + 328 + -280?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 337035, 673905, 1010775, 1347645?\nAnswer: 1684515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(648)\/sqrt(9) + (sqrt(18))**2 + 3.\nAnswer: 6*sqrt(2) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -25*l - 23. Let b(v) = 17*v + 15. Let f(i) = -8*b(i) - 5*n(i). Let a(k) = 17*k + 8. Determine 5*a(s) + 8*f(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 4) + (-8)\/((-8)\/7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from hempwwhhwehehhhwh.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i = -8*i - 10. Suppose -u + i*u = 82. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and -0.03559.\nAnswer: 0.0017795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 63. Suppose -5*j + 4*l + h = 2*l, 11 = 2*j - 5*l. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10256733 (base 9) in base 2?\nAnswer: 10010110101110001011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - o - 26. Let x be y(6). Sort x, 5, 0 in increasing order.\nAnswer: 0, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 58414*f*n + 6*f + 567 wrt n?\nAnswer: 58414*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 106 - 212. Let p = 108 + n. Which is bigger: p or -7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 698, 1416, 2112, 2774, 3390, 3948, 4436, 4842?\nAnswer: 5154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 578\/(-102) + 14\/2. Let u = -172 - -174. Which is the fourth biggest value? (a) 0.09 (b) t (c) u (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9009095 rounded to 3 dps?\nAnswer: -1.901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184080027.\nAnswer: 3, 2251, 27259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 - -109. Suppose -c + g = x, 2*x + 2*x - 233 = -3*c. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-3)\/12*-2). Suppose 6 + 2 = p*f, 2*f = -5*h - 12. Which is the nearest to h? (a) -0.4 (b) -1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 77\/(-748)*(-1)\/7. Let p = 131\/340 + f. Let z = -4.9 + 5. Which is the nearest to z? (a) 5 (b) p (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 426 + 1656 = 0. Let b = y - -1335\/2. What is the common denominator of b and 5\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80 + -43. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121998997 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 58155499013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**5 + 66*z**4 + 58*z**3 - 13122*z**2 + 24640*z + 37752 = 0. Calculate z.\nAnswer: -13, -1, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 5. Is u(8) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -11, -0.4, 2\/1723?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5821, -5778, -5735, -5692, -5649?\nAnswer: -5606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*t + 2*u - 7 = 0, 2 = 2*u. Let d be -5*t*(-1 - 0). What is the third derivative of -2*a**5 + a**5 + 3*a**d + 2*a**2 wrt a?\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 502 - 630 = 0. Suppose 0 = -4*f + 12268 + z. Suppose -5*s + 2*d + 17682 - 911 = 0, s + d = f. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2374, -2190, -2006, -1822, -1638, -1454?\n\"Answer: 184*r - 2558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38.86 - -39.36. What is the nearest to -2\/9 in 0.6, v, -6, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 20010?\nAnswer: -2\/2001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuhuuhuuhhh. What is prob of sequence huhh?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + p = -4*p, 0 = 2*k - p - 15. Solve -6*j = -k + 17 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 861, 6919, 23565, 56157, 110053, 190611, 303189, 453145?\n\"Answer: 893*a**3 - 64*a**2 - a + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -51*n. Suppose 2*w - 1 - 1 = -k, -k + 2 = 4*w. Suppose -5*b - k*u = 4, 3*b - 2 = 7*b + 2*u. Let d(x) = -10*x. Give b*l(g) + 11*d(g).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*a + 7*a - 1595 = -2459 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p + 21. Let k be u(-19). Suppose 0*w = j - 4*w - 523, 0 = -2*j - k*w + 1086. Suppose 6*o - j = -131. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/6)\/(-10)*10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -0.043, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/266 and -71\/186732.\nAnswer: 186732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02999267 + 0.49001423. Let z = -3 - -2.48. Let p = z + q. Round p to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 201760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/27880 and -64\/428655.\nAnswer: 3429240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5376 - -16118\/3. Calculate the common denominator of -64\/603 and f.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/434 and 13\/21.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4876 - 4875. Calculate the greatest common divisor of v and 353.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t**2 - 2*t - 3520. Let l(m) = -5*m + 3. What is 3*l(o) + 5*n(o)?\nAnswer: -5*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 121 and ((-78)\/18 + 3)*-33?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 96245\/12 + -8026. Calculate the common denominator of u and -68\/7425.\nAnswer: 29700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92187, -92238, -92289, -92340, -92391?\nAnswer: -92442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -731, -743, -769, -815, -887, -991?\nAnswer: -1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11379*q**2 - q + 4760*q**2 + 4482*q**2 + q.\nAnswer: -2137*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -70, -145, -250, -385, -550?\nAnswer: -745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 56\/(-70)*(-7 + 2). Suppose -4*l + 4*u = 600, -5*l + 7*u = f*u + 754. Let v = l + 241. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209506374?\nAnswer: 2, 3, 7, 11, 71, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 5*n**2 + 5*n + 2. Let d be t(4). Suppose -9 = 3*p, 2*h + 3*p + 23 = -40. Let q be (-6)\/h + (-237)\/(-27). Solve -3*z = q + d for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/5 (b) 0.1 (c) -8\/27 (d) 0.2 (e) 8 (f) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30986*m**2 + m - m.\nAnswer: -30986*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - z**2 - 9*z + 1. Let b(j) = -40*j + 157. Let u be b(4). Calculate v(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11043 (base 5) to base 13.\nAnswer: -476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 148129, 592554, 1333249, 2370202, 3703401, 5332834, 7258489, 9480354?\nAnswer: 11998417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 76*b + 58 = 75*b, -56 = 4*j - 4*b for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 257204 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 11:43 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1192343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*l - 5*l = 10, 4*q - 5*l = -5. Let t be 5\/(q\/(-4263)) - 1. Suppose -7538 = -2*a + t. Round a to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -7, -78, 0.043, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -3*b**2 + 0*b**3 - 5 - 5\/24*b**4 + 0*b. Let s(j) be the second derivative of d(j). Let i(w) = 5*w**2. What is i(s(k))?\nAnswer: 125*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -295*l - 53689. Calculate q(-182).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0*-2152.18\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 15*i**2 - 11*i + 252. Let w(d) = -4*d**2 + 3*d - 63. Calculate -6*b(x) - 22*w(x).\nAnswer: -2*x**2 - 126","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 566*m - 1357 = -103 + 1576 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -832*f + 387*f + 378*f - 3*f**3.\nAnswer: -3*f**3 - 67*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k. Let h be z(-1). Let y = 1\/11 - 14\/33. Let g = 0.469 - -0.031. Which is the closest to -1? (a) y (b) g (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.06, -5, 3, 0.5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -463532 - -463719.107. Let f = l + -187. Round f to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14*-0.015\nAnswer: -0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -15. Let z(d) be the first derivative of 199*d - 2*d**2 - 199*d + y. Let k(v) = -5*v**2. Give z(k(r)).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ac when two letters picked without replacement from aaqanahanacahacna.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 59, 206, 363, 536, 731, 954, 1211, 1508?\n\"Answer: z**3 - z**2 + 143*z - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.5 - -76.9. Let t = -75.400000662 + c. Round t to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 3:10 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31178663 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 263 - 183. Solve 3*l**2 + 30 - 173*l + 72*l + r*l = 0 for l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*k - 5. Suppose k*w = 4*r - 16, 4*w - 4 = -2*r + r. Suppose -60 = -r*n - n. What is the remainder when 46 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 4:14 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5445.2 - 5445. What is the nearest to -2 in -2, 1\/8, f, -0.255?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4317 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3*(-6)\/9)\/1. Let b be 1*p - (-4 + 4). Let o(a) = -3*a**2 - 4*a**2 - 2*a - 3 - 1 + 3*a**b. Let f(z) = -15*z**2 - 7*z - 15. Give -6*f(y) + 22*o(y).\nAnswer: 2*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10015 is divided by 102?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4660528*g**2 - 4824783?\nAnswer: -9321056*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -8534532 smaller than 0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -237275\nAnswer: 6\/237275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -21 + (-6 - -16).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 655657, -3, -1, 1 in decreasing order.\nAnswer: 655657, 1, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -42625746 divided by -3\nAnswer: 14208582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.18 in 12\/13, -1, -0.86?\nAnswer: -0.86","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 4 + 1)*(-1)\/17. Which is the fourth smallest value? (a) k (b) 4 (c) -0.5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 17*w**3 - 149*w**2 - 12*w + 20. Let x(m) = 9*m**3 - 81*m**2 - 6*m + 10. Let p(j) = 7*a(j) - 13*x(j). Determine p(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1098.999999239 - 1099. Round h to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.5, 0, 2\/13, 8\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15340)\/(-5109) - (0 - -3). Which is smaller: w or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xh when two letters picked without replacement from gxahh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*n = -45*n - 96. What is the common denominator of 62\/(-6) + 0 + -2 and (8\/n)\/((-4)\/202)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wncn when four letters picked without replacement from ncww?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 425 minutes before 2:53 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve 14229 = -3890*n + 11353*n - 3827*n - 3789*n for n.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 119 = -888. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45455, 45575, 45695, 45815?\nAnswer: 45935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2. Let p(k) be the third derivative of 5*k**4\/8 - 2*k**2. What is a(p(n))?\nAnswer: -450*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 0, -5, -2, 0.2 in decreasing order.\nAnswer: 0.2, 0, -3\/5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 331087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9288)\/1620)\/43 - (-28)\/(-15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 10 = 4*k + 2*b, k + 3*b = 0. Suppose 0 = -7*x - k*x + 12*x. Factor x - 1\/2*s**3 - 1\/4*s - 3\/4*s**2.\nAnswer: -s*(s + 1)*(2*s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*m = 8. Suppose 1331 = 3*a - 601. Let y be (-12)\/(-27) + a\/9. What is the greatest common divisor of m and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-184)\/(-7) - (-4)\/(-14). Let j(h) = -5*h**2 + 3*h**2 + 6*h + 4*h**2 - 7. Let t be j(-5). Calculate the greatest common factor of t and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-697*r**3 - 136*r**3 + 54*r**3)*(13 - 13 + 6*r**2) + (2*r**2 - 5*r**2 + 0*r**2)*(r**3 + 2*r**3 - r**3).\nAnswer: -4680*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 + 1896 + 1897 - 7780 - h**2 + 2092 + 1895.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6*t**3 - 4*t**2 - 6*t. Let h(q) = -5*q**3 + 3*q**2 + 6*q. Let w(p) = 4*h(p) + 3*m(p). Find the second derivative of w(g) wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -20, 2, -2, 0, -3\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1051759\/24978 + 969\/23. What is the common denominator of 101\/8 and c?\nAnswer: 4344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 51 - ((-12 - 11) + 22).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(3\/4)*x)**(-19)\/(x**(-8))**47 assuming x is positive.\nAnswer: x**(1295\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9960095, 1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 48. What is the tens digit of s(34)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 170, -0.1, 3\/4, 5?\nAnswer: 170","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 308*m + 572*m + 287*m + 154819 - 57958 for m.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 25. What is the lowest common multiple of 8 and g(7)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 26 = 5*s, 2*c + s = 5*s - 22. Let f = -8 - c. Let z = f + 8. Solve 3*g + 5*p = -8 - 1, 0 = -z*g - 3*p - 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + 51 + -36 + 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a second in milliseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 479\/7 + -4304\/63. What is the biggest value in -2\/13, o, 1\/6, 0.03?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 2*j + 2. Let b be c(7). Let n be b\/72 + (-4 - 90\/(-24)). Let 5\/3*g**2 - 4*g + n = 0. Calculate g.\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*c**3 - 3*c - 2*c**4 + 2 + 17*c**4 - 7*c**2 + 9*c**2 - 4*c**4 - 9*c**4 in the form u*c + w*c**3 + h + a*c**2 + d*c**4 and give w.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -3, -2.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1553530?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*(-1 + (sqrt(1872) + sqrt(1872)*1 + sqrt(1872))*4)*-1)**2.\nAnswer: -4032*sqrt(13) + 1078321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(52) - sqrt(364)\/(sqrt(63)\/sqrt(9)))\/sqrt(4) + -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9703*x**3 + 112*x**2 + 1345*x - 3367.\nAnswer: 58218*x + 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 11:36 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-4 + sqrt(80) + 2 + (sqrt(80) - 3*(sqrt(80) + 2)) + 1)*-2)**2.\nAnswer: 2016*sqrt(5) + 4644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(-7 + 3) + 11?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2389694, 2389738, 2389820, 2389946, 2390122, 2390354?\nAnswer: 2390648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -292 - -0.5.\nAnswer: -291.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34979315.\nAnswer: 5, 7, 31, 103, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15131 + 15128. Let x = -4 - -2. Which is the fourth smallest value? (a) 0.3 (b) 3\/8 (c) x (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 5*p + 2. Let g be y(6). Let f = -2 - g. Suppose -f*j + 10 = -7*j. Put 5, -5, j in decreasing order.\nAnswer: 5, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3094218*d**3 + 233 - 233 + 1256331*d**3.\nAnswer: 4350549*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(2\/17)*h**7)\/((h**14*h)\/h*h**2))**(-34))**35 assuming h is positive.\nAnswer: h**10570","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a micrometer in nanometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -189481 bigger than -189480?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, 50, 134 in descending order.\nAnswer: 134, 50, 8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 697500.8 centuries in months?\nAnswer: 837000960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 3*s - 2*s)*(-4*s**2 - 2*s**2 + 4*s**2) - 2*s**3 + 3*s**3 + 2*s**3.\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*c = -2*i - 195*c + 2, c + 4 = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/8)*y\/(y\/y**(-15)) assuming y is positive.\nAnswer: y**(-119\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5*sqrt(684))**2 + sqrt(684) - (sqrt(684) + (1*sqrt(684)*-4)**2) - (5 + ((3 + sqrt(684) + 5 + sqrt(684))*-1)**2).\nAnswer: 108*sqrt(19) + 3376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3159628 divided by 206?\nAnswer: -15338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -92 greater than or equal to -14934?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -d**2\/2 + 5*d + 3. Let m be b(5). Suppose -3*j + 5*j - 82 = m. Is 19 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from itvijthtiv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1176 and 2184?\nAnswer: 15288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 86, 85, 84?\n\"Answer: -q + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 8:03 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 421466?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (d + 2*d + 0*d)*(0 - 4 + 5)*(-4*d + 3*d + 3*d) in the form y*d + n*d**2 + q and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of o**4\/4 + 5*o**3\/3 - o**2\/2 + 3*o. Let p be 4 - (18\/9 - -6). Calculate the smallest common multiple of 12 and v(p).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/135*5)\/((-1)\/(-15)). What is the nearest to 0.1 in p, -4\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -w**2 - 2*w - 4 + w + 4 - 1 + w**3. Determine n so that d(n) = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 + 16*l + 27. Let c be r(-5). Suppose y + y - 16 = 0. Calculate the common denominator of y and (-18)\/c + 8\/((-392)\/(-63)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 52822677?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1\/458, -0.1, 10.4, -3, 4 in descending order.\nAnswer: 10.4, 4, 1\/458, -0.1, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 12 = -4*v. Let g(p) be the third derivative of 1\/30*p**5 + 0*p + 0 - 3*p**2 - 1\/12*p**4 + 0*p**v. What is the second derivative of g(o) wrt o?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100 + -91. Calculate the greatest common factor of j and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, a: 4, y: 2, s: 1, x: 1, z: 3}. Give prob of sequence sts.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/2 + (-18)\/20. Let w = -107 + 113.3. Let g = w + -1.3. What is the nearest to z in g, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4422325 (base 7) to base 11.\nAnswer: 341361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 10)*(5 + 2*t - 5)*(3 + 3*t - 3)*(5*t - 8*t - 2*t).\nAnswer: -240*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10171, 19346, 27567, 34840, 41171, 46566, 51031?\nAnswer: 54572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -269 - -419. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {q: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*o. Let u be (2 - o)*3\/21. Let m = 0 + -1. Which is the nearest to m? (a) u (b) 2\/5 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 73\/6*m**3 + 0 + 0*m**2 + 96*m. Let x(o) = o**2. Determine v(x(p)).\nAnswer: 73*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-338)\/(-1690))\/((-17)\/30)\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*j + 1499*q - 1494*q + 387 - 14, -q + 0*q - 1 = 0 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 85*m**2 - 220*m - 885. Let a(o) = 5*o**2 - 13*o - 52. Let g(n) = 35*a(n) - 2*x(n). Determine d, given that g(d) = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2195 + -2111. Which is smaller: 19 or h?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45291724 by 6.\nAnswer: 22645862\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(((-1708)\/2989)\/(2\/(-7))).\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3\/7 - 13*a**2\/7 + 59*a\/7 + 3.\nAnswer: -(a - 3)*(a + 7)*(3*a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*q, 2*q = -s + q. Let i(b) = -b**2 - 3*b - 2. Let y be i(s). Let l be (6\/4)\/((-1)\/y). Solve 0 = 10*r - 5*r - p + 22, -16 = l*r - 2*p for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -558*b - 26. Let q(a) = -2790*a - 131. Let l(m) = 11*k(m) - 2*q(m). Let n be l(-2). Suppose n = 4*h - 2188. Round h to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -7*u - 104. Is (-414)\/(-13) + (-8)\/u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -189*k - 8692. Let o be t(-46). Suppose q - 5 = 2*v - v, -2*v = -4*q + 16. Suppose 0 = -q*r + 7 + 5. Solve -o*l - 2 = -r*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -67*r**2 - 2*r**3 + 66*r**2 - 10*r**3 as j*r + f + g*r**2 + b*r**3 and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 5 - 1 - -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73274 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53624 by -8.\nAnswer: 6703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -122 - -180. Suppose 2*h - t = -4*v + h, 0 = -4*v + 4*h + 68. Suppose -101*f = -98*f - 87. What is the remainder when f is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.04 (b) -0.4 (c) -1\/5 (d) -22\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -291639826 - -1.956.\nAnswer: -291639824.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.56 - -0.6. Let b = -168 - -168.0404. Let n = b - h. What is n rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2771 * -14.9\nAnswer: 41287.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y + 6 = r + 12*y - 33, 0 - 4 = y for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1\/3, 1 in ascending order.\nAnswer: -4, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -10. Let z be 10\/(-3) - (-14)\/t. Let k(y) = -y**2 - 6*y. Determine k(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -28, -62, -128, -238, -404, -638?\n\"Answer: -2*d**3 - 4*d**2 - 8*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -285 times -0.62592?\nAnswer: 178.3872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 33*u**2 - 4*u - 4. Let z be f(-3). Suppose 0 = -56*n + 57*n + 94. Let l = n + z. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -600.13 to zero decimal places.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10653 - 4713. Suppose -1346 + 5370 = h + 4*r, 5*h - 20208 = 2*r. Let i = h - u. Round i to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -87 or -1006?\nAnswer: -1006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 988 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -71327*l - 356626. Give d(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -3*w - 210. Let u = w + -4. Let q be (4\/(-3))\/(40\/u). Calculate the greatest common factor of 16 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 4*u - 4. Let w be k(4). Suppose 40 = -5*h + 60. Calculate the greatest common divisor of w and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10736382 rounded to three dps?\nAnswer: -0.107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 429*z + 437*z**3 - 380*z**3 + 431*z + 432*z - 1292*z.\nAnswer: 57*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**3 + 3*s**2\/2 - s - 40. Let z(a) be the third derivative of -11*a**4\/24 + 5*a**3\/6 - a**2. What is 5*y(f) - 3*z(f)?\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) 1\/3 (c) 4\/3 (d) 904\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19930 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-192)\/36*3\/2. Let m = 58 + p. Let u be ((-120)\/m)\/((-6)\/80000). What is u rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*u**3 - 9*u**3 - 5*u**3 - 12*u**3 - 12*u**3.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 2\/167, -0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -f + z + 12, z = 4*f - 22. Let c(w) = -3*w**2 + 5 - f*w - 4*w**2 - w**3 - 11. What is c(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13434\/(-3168) + 4 + (-12)\/(-44) and 57\/176.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2. Suppose -319*p = -274*p. Let k(i) be the third derivative of -2*i**2 + p*i - 1\/12*i**4 - 7\/6*i**3 + 0. Determine -2*k(f) + 6*n(f).\nAnswer: 4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**6\/120 + 11*h**5\/60 - h**4\/24 - 4*h**3\/3 + 8*h**2. Let j be b(10). Suppose j = 2*c - 34. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*a - 0*a. Is a - -2 - 2*-13 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*l + 1748 = 33*l + 150*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -554837\nAnswer: -4\/554837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert c3f7 (base 16) to base 15.\nAnswer: ece7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1\/6, 2\/3277, -2, 1\/12?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/4 of a gram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 11\/((-132)\/(-8288)) - 6\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - 33320?\nAnswer: -33301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 1)*(3*j + 3*j - 4*j) + (17 - 36 - 16)*(3 + 0 - 4)*(19*j + 16*j - 42*j) in the form l + g*j and give g.\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 + 12*p - p**2 - 3*p**2 + 0*p**2.\nAnswer: -2*p**2 + 12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 16. Let n(x) = x**2 + 1. Let o(a) = -2*a**2 + a - 4. Let q(m) = -m**2 - m. Let b(c) = -o(c) - q(c). Give i*n(v) - b(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*g + 4 = 33*g. What is the third derivative of -44 - 22*i**3 - 22*i**3 + 2*i**g + 45*i**3 - 63*i**4 wrt i?\nAnswer: -1512*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**4\/6 + 9*a**3\/2 + 17*a**2 - 41*a. Let j(y) = 10*y + 3. Let l be j(-2). Is 17 a factor of w(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436 a factor of 186652908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.03850474 plus -64?\nAnswer: -62.96149526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*g - 68 = -2*g, -5*j + 169 = -2*g. Suppose 0 = -3*f - 3*i + 2*i + 388, 4*f + 5*i = 499. What is the remainder when f is divided by j?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 3 - 13 - (-4 + (10 - 6))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 0.5, 1, -1, 19 in increasing order.\nAnswer: -1, 0.5, 1, 3, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532564?\nAnswer: 2, 211, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-1\/4)*k)**(2\/55)*(k\/((k**(-2\/11)\/k)\/k*k))\/k**(-10))**(16\/11) assuming k is positive.\nAnswer: k**(10808\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h - 19*h - 4*h + 5*h + 8*h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 4*q - 2*b = 78, 5*q - 4*b = 90. Let t(v) = -5*v. What is the smallest common multiple of t(-2) and q?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -92*z**7\/35 - 207*z**3\/2 + 783*z**2. Differentiate a(m) with respect to m.\nAnswer: -2208*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 10*i**2 - 5*i - 2. Let v be w(6). Suppose 5*q + 108 = 5*p - 32, -4*p = 3*q - v. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23311 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 10:15 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -81 - -84. Let r be -1*18\/(-2)*c\/9. Suppose 0 = -r*l - 5*l + 24. Solve 2*v = l*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3.701304 millennia?\nAnswer: 44415.648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -30, 11, 74?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 267.35+0.2\nAnswer: 267.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 5\/63*z**7 - 7\/30*z**5 + 0 + z - 1\/6*z**4 + 1\/15*z**6 + 0*z**2 + 2\/9*z**3. Determine g, given that h(g) = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, c: 5, e: 1}. What is prob of sequence cc?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 287*q**2 - 9*q + 2. Let l be s(1). What is the greatest common factor of 130 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w. Let r(m) = 11238*m. What is c(r(z))?\nAnswer: -11238*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (6 + (-2 - 7) - 0) + 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4202903, -4202885, -4202867, -4202849, -4202831?\nAnswer: -4202813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73 - 68. Let t = 5.4 - 5. Let u be ((-4)\/(-5))\/(3\/(-5)). Which is the nearest to 1? (a) r (b) t (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t - 22. Let g be p(-11). Suppose 0 = 2*x - 5*h + 10, 2*h - 6 + 2 = g. Suppose -21*v + 22*v - 168 = x. Does 28 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -5*u - 0*z, 5*z + 20 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.98437015410921 take away 4?\nAnswer: -3.01562984589079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**4\/4 + 23*v**3\/3 - v**2\/2 + 27*v - 11. Let h be a(23). Solve -h*f - f - 3*m = 8, -4*m = -2*f - 24 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 730 = 16*w + 842 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.5, -3035?\nAnswer: -3035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 6*w - 2. Suppose 4 = 12*t - 80. Let o be y(t). What is the closest to -1 in 0.3, o, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 209546 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7933 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -a**6\/30 - a**5\/6 + 23*a**4\/12 - 10*a**3\/3 - 5*a**2 + 15. Suppose h(v) = 0. What is v?\nAnswer: -5, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -164, -6, -4\/5, 4\/7, -0.5 in descending order.\nAnswer: 4\/7, -0.5, -4\/5, -6, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 154?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 12*w - 1. Let g(u) = 13*u - 2. Let s(q) = 20*q - 3. Let m(t) = 3*g(t) - 2*s(t). Calculate 2*m(c) + x(c).\nAnswer: 10*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 0*h**4 + 2\/15*h**5 + 0*h**3 + 1 + 0*h + 0*h**2. Determine i, given that z(i) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337207 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: Suppose 0*w - 2*w = -6, 2*u + 75 = 5*w. Let d be ((-18)\/u)\/((-2)\/(-10)) + -8. Let r(p) = -p**2 - 25*p - 62. Let l be r(-22). Put l, 1, d in increasing order.\nAnswer: d, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 7723*r. Let w(l) = l**2 - 2*l**2 + 0*l**2 + 4*l**2 - 4*l**2. What is q(w(c))?\nAnswer: -7723*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2209\/9 - 245. Let g = 24.841 - 18.841. What is the nearest to -1 in 0, g, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113560202 to the power of 1\/4, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2036 times -0.6?\nAnswer: -1221.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 91 and (20\/(-40))\/(8\/(-2704)).\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8319 to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4*o - 1)*(-2 + 2 - 6*o)*(15 + 36 + 7)*(-8*o**2 - 2*o**2 + 3*o**2) as w*o**4 + s + u*o**2 + v*o**3 + x*o and give w.\nAnswer: 9744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 19, 2.469, -1, -4\/13 in decreasing order.\nAnswer: 19, 2.469, 1\/5, -4\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431 is divided by 208.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 1:19 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 301437414, 301437416, 301437418, 301437420, 301437422, 301437424?\nAnswer: 301437426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 l when two letters picked without replacement from {l: 1, i: 1, r: 2, d: 4, p: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -160990000 to the nearest one million.\nAnswer: -161000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13 + 1)*8\/(64\/6). Let d be 6\/f*((-7)\/2)\/7. Which is the closest to d? (a) 2 (b) -2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9\/691 - 40141\/4837. Find the common denominator of k and -67\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**3 - 4*h**2 + 6*h + 4. Let d(w) = -16*w**2 - 20*w**2 - 7*w**2 + 42*w**2 + 1. Calculate -b(v) + 4*d(v).\nAnswer: -2*v**3 - 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450*f = 446*f + 8. Solve 4 = t - a - 2, -16 = -f*t + 4*a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 - 244*h**3 + 5*h**2 - h**2 + 573*h**3 - 298*h**3.\nAnswer: 31*h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -3. Let s = -3 + 3. Let d = -1\/63 + 5\/21. What is the nearest to j in -4\/7, s, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.15 - -0.05. Let t = 313 + -313.2. Which is the second smallest value? (a) t (b) q (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-13 - 10 - -11).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b6 (base 12) in base 3?\nAnswer: -120210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -349 + -3422583885?\nAnswer: -3422584234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147278?\nAnswer: 2, 211, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -645 + 354 + 286 + 3*s**2.\nAnswer: 3*s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3971 is divided by 545?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 112*v**2 + 141*v + 1. Let c(a) = -3149*a. Give c(g(d)).\nAnswer: -352688*d**2 - 444009*d - 3149","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 2. Let r be s(5). Let a(z) = -3*z**2 + r*z**2 - z**2. Let h(j) = -1. Let y(v) = v + 9. Let w(m) = -18*h(m) - 2*y(m). What is a(w(p))?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -120*r**2 - 40\/3*r**4 - 54*r - 2\/3*r**5 - 236\/3*r**3 + 0 = 0. Calculate r.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -519 + 902. Let w = q + -84. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2897856233 to the power of 1\/2, to the nearest integer?\nAnswer: 53832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(-20)*1 + (-2349)\/12. Is a\/(-70)*(48 - -2) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 44554047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -143223130 (base 6) to base 2\nAnswer: -1011010010001101011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 219, 1814, 6097, 14388, 28007, 48274, 76509?\nAnswer: 114032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 552776?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 48\/168 + 61\/(-42) + 1. Let p = -306.2 + 306. What is the closest to t in p, -4, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwkddwk. Give prob of picking 2 w and 2 d.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33415 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.767592 hours to weeks.\nAnswer: 0.504569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -2*z**7\/105 - z**6\/15 - z**5\/15 - 2*z**2 - 2. Factor p(b).\nAnswer: -4*b**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 5) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6540600 - 1?\nAnswer: 6540599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 1\/20 (c) -0.6 (d) -6.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 923, 1809, 2695?\n\"Answer: 886*y + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-936)\/1274)\/((-3)\/((-21)\/2)))\/(102\/3808)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2176.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3930583, 7861166, 11791749?\nAnswer: 15722332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1930792.7 less than 0.067?\nAnswer: 1930792.767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -1\/6*m**4 - 142 - m**2 + 10\/9*m**3 - 6*m. Factor x(q).\nAnswer: -2*(q - 3)**2*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 9*g = -11*g + 60, 36 = 2*y + 4*g. Let c(w) = w**2 - 13*w - 24. Let d be c(y). Let b(u) = -3*u - 15. What is b(d)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 4*g**2 + 2424*g = 0.\nAnswer: -606, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(88) - (1*sqrt(88) - sqrt(88)))*-5)\/(6*sqrt(40)\/sqrt(5) + sqrt(800) + (sqrt(800) - (sqrt(800) + sqrt(800)*-3) - sqrt(800))).\nAnswer: 5*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 - -37. Suppose 0 = 7*f - 23 + 16. Sort i, -3, f, 4 in decreasing order.\nAnswer: 4, i, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 490 and 112.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229 - 114 = -5*k for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 14 - 11 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.57 times -3681571?\nAnswer: 5780066.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -11.19. Let d = i + 0.12. Let k = d + -4.93. Which is the smallest value? (a) -3 (b) -0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 4*z**2 + 6*z - 2. Suppose 3*w - 133 = -109. Suppose -6*s - 10 = -w*s. What is n(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + sqrt(684)) - sqrt(684))**2 - (-1 + sqrt(475) - sqrt(19) - (sqrt(38)\/(sqrt(2)*-2) - sqrt(19))).\nAnswer: 709*sqrt(19)\/2 + 24650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50297204 is divided by 6287148?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*p = -32*p + 15. Suppose 5*s - 34 = -3*v, -p*s + 2*v = v - 22. Let d(k) = 8*k + 4. Let g be d(s). What is the greatest common divisor of g and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-12) + 2\/(-8). Which is the second biggest value? (a) r (b) -3\/4 (c) 2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4569860027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*(2 + (-2)\/(-1)). What is the common denominator of 19\/16 and 202\/(-80)*(-50)\/x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7\/2 (b) 971 (c) -2\/321 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + q = 5, -2*n + 6*n + 4 = 4*q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 5:24 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/429 (b) 2 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1142557 divided by -491\nAnswer: -2327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 - 6*m**2 - 2*m + 2. Let j be t(-4). What is the greatest common divisor of j and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160571705 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e + -3?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -7*c**2 - 15*c + 5. Let j(r) = -4*r**2 - 7*r + 3. Let s(d) = -5*j(d) + 3*o(d). What are the prime factors of s(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16758 and 1330?\nAnswer: 83790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 12:05 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*(sqrt(176) + sqrt(44))*-2)\/(1*sqrt(288)\/(sqrt(24)\/sqrt(3))).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 10:41 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 8444536*z. Let d(u) = 2*u**2. Give d(n(w)).\nAnswer: 142620376510592*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 18 = -i - 3*i, -5*a - 5*i + 20 = 0. Let j be (9\/6)\/((-4)\/8). Let y be 1*(-2 + 5 + j). Solve -8 = -4*r + 3*t + 7, y = -a*r - 2*t - 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248 - 78 = -17*n. Let b(j) = 258*j - 3. Let z be b(n). Let o = z + 214385\/83. Is o <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 5*u**4\/3 + 14*u**3\/3 - 12*u**2 + 7*u. Factor l(s).\nAnswer: 4*(s + 2)*(5*s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vcekvvzvokvkcvc. Give prob of picking 2 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 - -0.7. Let k = -15.411 - -0.011. Let o = 15 + k. What is the second biggest value in z, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*d + 24, 19 = 4*c + 3. What is the highest common factor of 56 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56903 + 0.1785\nAnswer: 56903.1785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*2\/10*(1680\/(-63))\/(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.8 (b) -0.5 (c) 0.06 (d) 5 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((-9)\/(-14))*-3. Let q = 451 + -446. Factor 16*t**2 - g*t - 4*t**4 + 4 - 4*t**3 + 0 + t**5 + 3*t**5 - 2*t**q.\nAnswer: 2*(t - 1)**4*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 1:17 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42 * -0.4.\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -66*(-7 + 3504\/504)?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1 (b) 10 (c) -5 (d) -0.28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 127565 by 5.\nAnswer: 25513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46397 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/22 - (223 - 1241144\/3674)?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 times -24?\nAnswer: -21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 17 - 3 + 20*t - 3 - 13 to k + x*t and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*g - 60 = u, g + 37 = -3*u. Let r = -328 - -318. Let h = r - u. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z + 13 = -15 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 e, and 1 r when three letters picked without replacement from {r: 2, w: 1, y: 1, l: 1, e: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, y: 2}. Give prob of picking 2 r.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*p**3 + 7 - 7 + 7*p**3 + 39*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1732440635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2 - 12*o + 4982 = 0. What is o?\nAnswer: -53, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*p**4 - 54\/5 + 9\/5*p**2 - 27\/5*p + 7\/5*p**3.\nAnswer: (p - 2)*(p + 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 i when three letters picked without replacement from {p: 3, i: 11}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/6)\/(1\/(-24)). Let l = -4 + v. Suppose -r + l*c + 14 = 0, 5*r + c + 2*c = 185. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3542 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -14616 smaller than -14650?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p + 10 - 17 - 1. Let j(b) = -5*b + 33. Let z(y) = -2*j(y) - 9*s(y). Let o be z(5). Solve -o = 4*g - 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 u when three letters picked without replacement from {a: 8, u: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(5)*-5*1 + 4 - (sqrt(77)\/(sqrt(42)\/sqrt(6)) + 1 + sqrt(77)\/sqrt(7)))**2.\nAnswer: -42*sqrt(11) + 548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 1. Let t(a) = 29*a - 4. Let r(j) = 3*c(j) + t(j). Let w be r(1). Suppose -14*i + 12*i + w = 0. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13599\/27196 + 1\/27196. What is the nearest to 6 in 2, -2\/3, z, 1\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 3, 0 = -3*g + 7*q - 6*q + 183. Suppose -153 = 57*p - g*p. List the prime factors of p.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 44 = -n. Let m be (-3)\/(-21) - 44\/14. Calculate the remainder when m\/6*-68 + -2 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80.6897922 + -3?\nAnswer: -83.6897922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**2*n**2 - 40*m**2*n + 2*m**2*y + m*n**2*y - m*n**2 + 22*m*n + n**2*y + y wrt m.\nAnswer: 4*n**2 - 80*n + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 391230 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 - 2*g - 6. What is the tens digit of q(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1435 is divided by 89?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003587262782 rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + t + 1. Let d(x) = 8*x**3 + 4*x + 6. Let b(p) = p**3 + 6*p**2 + 5*p + 24. Let q be b(-6). Give q*r(g) + d(g).\nAnswer: 2*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3891*-1 + (3 - 1). Let m = l + 7169. Round m to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-9))\/((-115)\/(-92)*21\/30)?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 4*h + 32 = -g - 5*g, 3*g = g - 4*h + 32 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52773969 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*g**3*m**2 - 577*g**3 - g**2 - 108*g - 8270*m**2 - 2 wrt m?\nAnswer: 8*g**3*m - 16540*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*228\/(-18)*3\/(-2). Calculate the highest common divisor of 95 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -90 in -0.11, 2\/7, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 34*w - 13*w + 10 - 17*w. Let s(i) = -2*i**2. Give x(s(c)).\nAnswer: -8*c**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 0*p + 0*p**4 + 0*p**3 - 1\/20*p**5 - 9 + 9\/2*p**2. Let f(q) be the second derivative of g(q). Let o(i) = 3*i. Give f(o(u)).\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 3, 4, -28, 1, -1 in decreasing order.\nAnswer: 4, 3, 1, -1, -7, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -6 + 26. Let b be (-2)\/p - 3156\/15. What is b rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**2 - n - 1. Let a(d) = 3*d**3 + 96*d**2 + 1599*d - 1713. Let l(c) = -a(c) - 15*q(c). Factor l(t).\nAnswer: -3*(t - 1)*(t + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2 = 4, 0 = 5*t + 2*w - 14. Suppose 4*r + 8 = -0*r. Let v be ((-12)\/(-10))\/((-4)\/10). Sort r, t, v in descending order.\nAnswer: t, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 310 and 410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 - -116. Does 18 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -4\/9 (c) -1 (d) 0.5 (e) 0 (f) -1.8 (g) -21.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-90)*1*-1)\/2.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 10*m**2 + 5*m + 20. Let h be y(-9). Let v = 51 + h. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 16. Let t be (u\/(-10))\/(2 + 324\/(-165)). Let g be (-3)\/2 + 1 + 110\/t. Solve -g + 0 = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 4. Let x(u) = u**3 + 5*u**2 + 3. Let h be x(-4). Let f = h + s. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-56408751)\/(-119) - 3) + 2\/(-17). What is m rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121476, 485987, 1093538, 1944129, 3037760, 4374431, 5954142?\nAnswer: 7776893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 1, 0, 2953, -5.\nAnswer: -10, -5, 0, 1, 2953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 19 + (2 - 3) + 4. Let l = -73 + 139. What is the highest common factor of d and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 240*r - 752. Does 16 divide w(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28 - 126?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*y - 816070 = -73516. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-22)\/(-6))\/(-1))\/((18150\/(-5310))\/55)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.43 + -54721?\nAnswer: -54726.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-476)\/(-399)*186 - 2\/(-19). Is z less than or equal to 221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41)\/205 + 2\/(-40) + 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*p**3 - 3\/4*p**2 + 0 + 1\/2*p.\nAnswer: p*(p - 2)*(p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 8*b**3\/3 + 2*b**2 + b + 5774. Let r(v) = v**2 + v. Calculate 5*r(l) - x(l).\nAnswer: -3*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express u**3 + 2*u - 448*u**2 + 444*u**2 + u**3 as n*u + l + i*u**3 + q*u**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 808 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 143346031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -31272?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28.68 + 0.32. Let k = h + -29.000023. What is k rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*u - 4685*w - 4693*w + 9379*w, 0 = w + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bzbz when four letters picked without replacement from {d: 2, w: 2, b: 4, z: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 632869970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 608*j + 43785. Determine h(-72).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 880 and 55.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -9540 greater than -9536?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -465b (base 12) to base 15\nAnswer: -24d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d - 12*d - 39*d + 5761 - 6541 = 0 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 5*z. Let f be l(-5). Suppose -5*r = -g - r + 23, f = 3*g + 5*r + 16. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10521214112 + 0?\nAnswer: -10521214112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3157, 3154, 3153, 3154, 3157, 3162, 3169?\nAnswer: 3178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 3*s - 406 = 0. Let l = s - -161. What is the greatest common divisor of 33 and l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24489?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 490*b**2 - 267717381 + 424*b**2 + 267717381 - 2*b to v*b**2 + n + k*b and give v.\nAnswer: 914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -16147 (base 14) to base 15\nAnswer: -1150e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and 9542823?\nAnswer: -104971053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 (base 6) in base 2?\nAnswer: 111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -22*l**2. Let w(i) = -11*i**2. Calculate w(d(u)).\nAnswer: -5324*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - a = 3. Suppose -4*s + 0*s = -3*t - 10, -s - a = t. Let c be ((-5)\/3)\/(s\/3). Put c, -1, 2 in ascending order.\nAnswer: c, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/40678 and -133\/11094?\nAnswer: 122034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/452515 and 33\/7388.\nAnswer: 1810060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 372 and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/12556?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*t**2 - 15*t + 36*t - 33*t**2 as y + a*t + h*t**2 and give a.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 238 - 224. Calculate the greatest common factor of 63 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2595580 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - z)*(2 - 2 - 4*z) - 77*z**2 - 63*z**2 + 102*z**2 + (2 - 2*z - 2)*(3*z - 3*z + 2*z) - 2 - 20*z + 3*z**2 + 20*z.\nAnswer: -35*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = c + r - 22, 4*r = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49128750 rounded to the nearest 1000000?\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -4*u + 69, -400*u - 4*t + 50 = -397*u. Calculate the lowest common multiple of u and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 1. Let s(r) be the first derivative of -r**2\/2 - 7*r - 8. Give 14*i(x) + 2*s(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -34 + 24. Suppose -2*f - z = -74, -z = -3*z - 4. What is the remainder when f is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 13 = -5*w. Let m(y) = -w - 3*y + 3 + y + y. Calculate the least common multiple of m(-6) and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*h - 2 = 5, 34 = -4*t - 2*h. Let l be 1\/2 + t\/(-4). Let w(q) = 0*q**2 - 3*q**2 + 2*q**l. Let s(v) = v. Calculate w(s(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 2 = 2*f. Let i be -2*14\/(-4) - f. Let y(p) = p**3 + 19*p**2 + 34*p + 10. Let g be y(-17). Calculate the highest common factor of g and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/((i\/i**(-5\/4)*i)\/i)*i**(-3\/2)*i*i*(i\/(i*i**0))\/i**(-8\/7) assuming i is positive.\nAnswer: i**(39\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 93 - 2*p + 2*p**4 + p**2 + 2*p**3 - 5*p**4 - 93 in the form w*p**4 + u*p**3 + y + k*p**2 + v*p and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3828659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**3 - 9*g**2 - 12*g - 5. Let r(x) = -3*x**3 - 10*x**2 - 11*x - 6. Let j(n) = 3*r(n) - 4*v(n). What is the hundreds digit of j(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-120)\/(-54) + (-4)\/18. Suppose -2*f - 8 = i*f. Let x = 0 - f. Solve 0 = d - x*d - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 4*l - l)*(-4 - 2 - 2)*(l + 0 + 0).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -84.5 - -0.1329550494963\nAnswer: -84.3670449505037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 15738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03919 minus 95246582?\nAnswer: -95246582.03919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135037, -1080257, -3645883, -8642119, -16879169, -29167237?\nAnswer: -46316527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2050140*f. Let y(k) = -k. Determine y(r(t)).\nAnswer: 2050140*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 - -0.18. What is the third biggest value in 0.4, t, 1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, i: 2, s: 8}. Give prob of picking 1 k and 2 s.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -2) + (5 - -66). Suppose 7*d + m = 4*d. Round d to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13029 + -9070. Does 2 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-3)*(-639)\/(-142)*(-1)\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1\/3 (b) 66 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 19*u = 609, -161 = i + 3355*u - 3350*u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 8*a - a)*(-9 + 7*a**4 + 9) + (3*a**2 - a**4 - 3*a**2)*(0*a + 2*a + 2*a).\nAnswer: 59*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2101120002 (base 3) in base 11?\nAnswer: 323a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7663141 + -3562541. Round w to the nearest 10000.\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -71.291 and -121.2.\nAnswer: 8640.4692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7247 (base 11) to base 15.\nAnswer: -2caa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**9\/42 + i**7\/105 + 3*i**5\/10 - 41*i**2. What is the third derivative of p(d) wrt d?\nAnswer: -1440*d**3 + 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9863.6 + 9864. Which is the second smallest value? (a) -8 (b) 26\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4 = -h. Suppose 4*u - 58 = -5*a, -63 = -h*a + 2*u - 1. Calculate the greatest common divisor of 42 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -x + 7, x + 3*r - 100 = -93 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxxxxqxqxx. Give prob of sequence qq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1080 + 191. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**2 + 48*u + 110. Give b(-15).\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 59516219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**3 - 61*s**2 + 30*s + 3. Let g be z(30). Let i be 3\/((-5)\/21 - (-2)\/g). Solve 0 = -4*w - 11 + i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 78.97267?\nAnswer: 31.589068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 17*c + 14*c + 7 + 12 in the form q*c + u and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -10. Suppose 28 = f*u - 36. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -108*a - 5. What are the prime factors of d(-4)?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a**2 - 357*a + 1445. Let x be j(4). Calculate the highest common factor of 13689 and x.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -1818?\nAnswer: -5\/1818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 14*t + 12. Let h be s(14). What is the highest common factor of 8 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1 = 4*w, -m + 3*w = -0*w. Let k = 69 + m. Does 22 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45401 (base 8) to base 4.\nAnswer: -10230001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - 1 + 1)*(1 + 1 - 4)*(2 - 2 - 2*w)*(-6*w + 3*w - 2*w).\nAnswer: -100*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o = 16*o + 335 - 5 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - l - 3*l)*(-3*l - 3*l + 4*l) + (-l + 0*l - l)*(-l + 0*l - l).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*t + 5*t**3 - 242*t + 63*t**3.\nAnswer: 68*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -158 - -192 - (-6 - -76)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imz when three letters picked without replacement from {z: 7, m: 1, i: 1, s: 1, b: 3}.\nAnswer: 7\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n - 11328*n**4 + 3*n**2 + 2*n**3 + 11374*n**4 + 5*n as j*n**3 + f + g*n**2 + k*n + l*n**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/(-1))\/(-16)*(-48)\/(-48))\/((-34)\/12).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -35593546 and -0.11815.\nAnswer: -35593546.11815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9947\/676 - 6\/169. Let j = -1385\/2 - -645. Find the common denominator of f and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 6:32 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -0.62, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*h\/h**5*h*h*h*h*h*h\/((h**6\/h)\/h)*(h**(-1))**(2\/33) assuming h is positive.\nAnswer: h**(-2\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (-11 + 25) - 0 - 10.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-100)\/(-10) - 11 - (0 - 4). Sort -1, -6, y, 0, 1 in increasing order.\nAnswer: -6, -1, 0, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*t = 2*k + 10, 0 = 4*t - 2*k - 10. Suppose 3*i - 15 = -3*l, i + 1 = -t*i + 5*l. Calculate the smallest common multiple of i and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/739 or 1?\nAnswer: -9\/739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, d: 2, u: 4, t: 1}. Give prob of sequence uw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2bbc6 - -2b?\nAnswer: -2bb9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52117934 and 33165958?\nAnswer: 364825538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 + -3.6. Let l = t - -2. Put 0.3, l, -5\/3 in descending order.\nAnswer: 0.3, l, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 - -82. Calculate the remainder when 99 is divided by k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*p**5 - 3418415*p**4 - 333401505*p**3 - 8027724485*p**2 + 4669239400*p - 670945044 = 0 for p.\nAnswer: -49, 2\/7, 69861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008186 to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11120 + 883*a**2 + 11120 + (2*a - a + 0*a)*(4*a - 2*a + 0*a + (5*a - 4*a - 2*a)*(1 + 0 + 0)) to y*a**2 + o*a + u and give y.\nAnswer: 884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/9)\/(-9 + 457\/51). Let u(l) = l + 13. Determine u(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 1 + 9 + 2*t - 9. Let o be h(-2). What is the units digit of (5 - -8) + (3 - (o + 7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1820342 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14096 by 3606.\nAnswer: -7048\/1803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6*z + 19. Let c = -2 + 4. Calculate the least common multiple of f(-3) and c.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 1:42 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*s**2 + 58 - 58 + (-5*s + 3*s + s)*(-2*s + 3*s - 3*s) + 0*s**2 - 2*s**2 + 3*s**2.\nAnswer: 37*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -92 - 80 - 108 + 364 - 2*x. Let g be y(-7). What is the greatest common factor of 147 and g?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -543 - -537. Let l(o) = -o**2 - 6*o. Let v(s) = s**2 + 4*s. Let g(x) = i*v(x) - 4*l(x). Let t(c) = -c - 21. Calculate g(t(d)).\nAnswer: -2*d**2 - 84*d - 882","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**4\/12 - 164*v. Let n(b) = -b + 2. Let m be n(0). Let d(q) = 2*q - m*q - 2*q. Determine f(d(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -20*h**3 - 5126*h**2 + 3597*h - 255. Give s(-257).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63007439.\nAnswer: 11, 19, 301471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7671960 divided by -101\nAnswer: -75960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6342 is divided by 2673?\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 476\/5 + -95. Let p(i) be the second derivative of m*i**6 + 0*i**2 + 2*i + 0*i**4 + 0*i**5 + 0 - 2\/3*i**3. Find the second derivative of p(s) wrt s.\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -4*k**5\/25 + k**4 + 180. Factor y(x).\nAnswer: -4*x**3*(x - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 67, 2, -0.831, -19\/15?\nAnswer: -0.831","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - u = -3, -6 = -5*m - 0*m - 2*u. Let w = -10 + 12. Suppose 2*k = 6 + w. Solve m = -0*i + k*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (-1107 - -1066) + (3 - 0)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1918206954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 18, i: 2}. What is prob of sequence oo?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 708\/(-36) + 13 - 4\/(-6). Let s(n) = -n**3 - 2*n**2 + 25*n + 5. Determine s(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.499855 centuries to decades.\nAnswer: 24.99855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.8 + 6. Let x = 0.2 - u. Which is smaller: x or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 5*y**2 + y - 6. Let q be i(4). What is the common denominator of 6\/4*(-273)\/q and -131\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 11. Let g be c(8). Let q = g - 1. What is the third derivative of -4 + 3*u**q + 1 - u**6 + 3 wrt u?\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 346*y**2 + 28\/3*y**3 + 32 - 200*y. Let l(d) = 0. What is d?\nAnswer: -25, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 43 = 4*v, 0*v - 20 = -4*a - 4*v. Let z(r) be the second derivative of r**4\/12 - r**3\/3 + 9*r**2\/2 + 2*r. List the prime factors of z(a).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**5\/19 + 1906*m**4\/19 + 316190*m**3\/19 - 1613450*m**2\/19 + 2598368*m\/19 - 1303016\/19 = 0.\nAnswer: -737, -221, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112, 214, 318, 424, 532, 642?\nAnswer: 754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1982?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b**2 + 2 + b - b)*(6*b + 2*b + 13*b) to the form z*b**3 + h + w*b**2 + q*b and give z.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -13696.79 to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (32 + -1 + -22).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-4)\/(7 + -11). What is the second smallest value in 1, -2\/811, s?\nAnswer: -2\/811","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-36) - 20\/32?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167760 - 193515 = -303*q for q.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*q = -56*q - 18. Which is the nearest to 0? (a) 5 (b) -0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-49)\/(-735))\/((-22)\/12)*5*-2.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*k + 30, -19*d + 23*d + 35 = 5*k. Suppose -o - 6 = -3*l - 0*l, 3 = 2*l - o. Put -10, l, 5, d in ascending order.\nAnswer: -10, d, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5349+-0.4\nAnswer: 5348.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 - 21210*g**2 - 56243616*g - 56222408.\nAnswer: -2*(g + 1)*(g + 5302)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.7164289t?\nAnswer: 716428900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 219 = -3*h, 2*h - 15*z = -21*z + 186. What is the greatest common factor of h and 645?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 12845*m + 12792*m + 492 - 25502*m + 3*m**2 = 0.\nAnswer: -41, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -951 = -11*b - 181. Calculate the least common multiple of 120 and b.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -398 - -395. Sort 0, z, 4.\nAnswer: z, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79 + 41. Suppose -5*s = -j - x, -s + 0*j + 30 = j. Suppose 5*t = -s, k - t - 3*t - 23 = 0. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 1096.\nAnswer: 1\/274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(-34)*(-8)\/(-18) + 0.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/(-15)*9\/30. Let y = -1400098\/88630079 + 6\/69623. Let g = -6\/67 + y. Which is the smallest value? (a) 0.3 (b) i (c) g (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/2*(-6)\/6. Let m = 5 + j. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15977 + 3731 = 1400*v - 18830 + 738 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -171, -3, -4 in ascending order.\nAnswer: -171, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -176*w - 2608. Let n be y(-15). Let r be (22\/6 + -1)*15. Solve 0 = -4*d - n + r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-64)\/12 - -6)\/(4\/(-6)). Calculate the remainder when 0\/7 - (-27 + z) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/2595 and -59\/865.\nAnswer: 2595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 2*r - 52. Let z be 6\/(-21) + 486\/(-63). Calculate the remainder when p(z) is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 = 8755\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 + 57. Let p(f) = f + 20. What is the units digit of p(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00106067595 to six dps.\nAnswer: -0.001061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 1:43 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (2 + -5)) + (1826 - 1823) + 11.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/4 - 4483*p\/4 + 6729\/2.\nAnswer: -(p - 3)*(p + 4486)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 243.867313 and 0.1.\nAnswer: 243.967313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*t = -150, -3*t - 96 - 6 = -3*s. Suppose -9*d + 3*d + 1104 = 0. Let v = d + -61. Calculate the remainder when v is divided by s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/35 - -23*1\/7. Let q(v) be the third derivative of 0*v**o + 0*v + 0*v**4 + 1\/60*v**5 + 0 - 3*v**2. Let m(g) = -2*g**2. Determine m(q(y)).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o - 4. Let c = 0 - -2. Suppose -c*i = 1 - 9. What is the units digit of g(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -564*m - 604*m + 1124*m.\nAnswer: -44*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*b, d - 60 = -d - 2*b. Is (-20 - -14)\/((-2)\/d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37280 divided by 150?\nAnswer: -3728\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17966 = 12*s - 38*s. Calculate the lowest common multiple of s and 1.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.215 and 0.5.\nAnswer: -0.1075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2674000, -2674005, -2674010, -2674015, -2674020, -2674025?\nAnswer: -2674030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 186998*v + 48432492. What is r(-259)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -41616, -0.3, -0.03?\nAnswer: -41616","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -18, 190, -265 in descending order.\nAnswer: 190, -2, -18, -265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(125)*-2 - sqrt(125))*4 + 6*(-1*sqrt(125) - sqrt(125)) + sqrt(125))**2*2.\nAnswer: 2300*sqrt(5) + 132300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -61*n + 14496. What is q(195)?\nAnswer: 2601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w + 2. Let m = -51 + 60. Let q(i) = -i**2 - 22*i + m*i + 12*i. Determine c(a) - q(a).\nAnswer: a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 - (44 + -11 + -55)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/768 and -27\/9856?\nAnswer: 59136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/(37\/666).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12793 is divided by 457?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/42)\/((-3514)\/36897)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 850222.4 millennia?\nAnswer: 10202668800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/2 and 17\/12200.\nAnswer: 12200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g. Let m(b) = b**3 + 4*b**2 - 5*b + 5. Let p be m(-5). Let r(l) = p + 4*l - 5. Calculate f(r(o)).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 19*t**2 + 8*t + 2. Let a = -26 + 23. What are the prime factors of r(a)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(12)\/sqrt(2)*6).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (8 - 20) - -15\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3608\/289 (b) -3\/5 (c) -2 (d) 1 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 51735, 103482, 155231, 206982, 258735, 310490, 362247?\n\"Answer: h**2 + 51744*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189) + (sqrt(189) - sqrt(189)*2) + sqrt(189))\/sqrt(9) + sqrt(63)\/(sqrt(9)\/sqrt(3)))\/((sqrt(375)*3)\/sqrt(5)).\nAnswer: 2*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25740 and 47385.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.2 and 0.0283 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 111*c**3 + c**2 + 18*c + 19. Determine q(-1).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 + 106516.59\nAnswer: 106516.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f - 1925 - 2*f - f - 2*f.\nAnswer: f - 1925","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 5*x - 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44) + -1 - (sqrt(539) - (sqrt(539) + -1)**2).\nAnswer: -19*sqrt(11) + 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*i = -860 - 602 + 406 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46416246?\nAnswer: 2, 3, 97, 173, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 380, -0.0288, 2\/3, -0.6 in ascending order.\nAnswer: -0.6, -0.0288, 2\/3, 380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*s + 17*s - 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 382 = 4*g - 5*i, 8*g = 3*g + 5*i + 480. Suppose -4*v + 6*v + g = 0. Is 0 - ((1 - -2) + v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 548720000 to the nearest one million.\nAnswer: 549000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 3*x**2 - 3*x - 2. Let y be (-32)\/(-6) - 1\/3. Let r be o(y). Let d be (r*7)\/((-9)\/(-6)). What is the greatest common divisor of d and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (14 - 5) + 1 + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-8)*16\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 7*t = -4*w - 3, -2*w - 4*t = 8. Is 4325\/(-15)*6\/w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**4 - s**4 + 3 + 2*s**2 - 40*s - 2988*s**3 + 2983*s**3 + 18*s in the form d*s + r*s**4 + a*s**3 + x*s**2 + t and give d.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**0)**(34\/3) assuming y is positive.\nAnswer: y**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38849542, -77699083, -116548624?\nAnswer: -155398165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 491 = 5*q - 254. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l - 2. Let j be v(4). Let r be (j\/(-8))\/((-2)\/24). Let o = r - 7. Which is smaller: o or 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 295 - 41 = -n, 0 = -3*n + 3*s - 738. Let q = 337 + n. What is the remainder when q is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 12 = -65. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*l = -78, 3*l - 176 = n - 6*n. Calculate the highest common divisor of 374 and n.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -26*d + 13. Let h be b(-6). Suppose 3*u + h = 2*w - w, 5*u + 277 = -3*w. Let s be u\/(-9) - (-14)\/(-63). Solve 3*z = s*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 9. Suppose -3 = -5*z + k*z. Suppose -7*d = -12*d + 10. Is z not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.205 + 0.405. Are a and 131 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 42\/9 - 10?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 1. Let t be v(2). Suppose 54 = 3*y + t*w, y + 2*w + 2 - 24 = 0. Calculate the remainder when 69 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195069648 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*w + 61. Suppose 4*s - 20 = w. Let x = s - -34. What is the highest common factor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8434877609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5774 - 14?\nAnswer: -5788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 437964.9 rounded to the nearest 1000?\nAnswer: 438000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25691586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((78\/15 + -5)*-5)\/(1\/7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c - 4*c + 6*c + (-3*c + 0*c - c)*(1 - 6 + 1).\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 77.1013 * -2.\nAnswer: -154.2026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -12*q**3 - 130*q**2 - 3*q - 7686. Let n(g) = -g**3 - 2*g**2 - g - 11. Let w(m) = -a(m) + 3*n(m). Differentiate w(v) wrt v.\nAnswer: 27*v**2 + 248*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*v + 242, v + 20 - 125 = -3*q. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0876 - -52.\nAnswer: 51.9124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 81 + 7*o - 31 - 27 - 38. Let k be t(-14). Let m = k - -105. Which is the second biggest value? (a) 5 (b) -0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1137622*n**3 - 2*n**2 - n + 46639 wrt n?\nAnswer: -6825732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 + 225*m**2 - 225*m**2.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 16) to base 7.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7*s**3 + 11*s**2 - 3. Let x(r) = -10*r**3 + 17*r**2 - 4. What is 7*k(u) - 5*x(u)?\nAnswer: u**3 - 8*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-5)*(-2)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2953 - -3601. Calculate the least common multiple of 720 and s.\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 30*r - 102. Let p be k(-33). Let s be p\/(-18)*-3*-284 + -2. Calculate the highest common factor of s and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011 (base 4) to base 6.\nAnswer: -1301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**3 + 6*o**2 - 2*o + 3. Let u be d(0). Let i be 16\/36*u + 42\/(-18). Which is greater: i or -23\/17?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l + 11. Let p be u(8). Let d = p + 4. What is the units digit of (2 + 1)\/((-1)\/d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 29*g**2 - 57*g - 2. Let b(s) = -15*s**2 + 31*s + 1. Calculate 11*b(t) + 6*n(t).\nAnswer: 9*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -47. Calculate the remainder when 74 is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -200 + 204. Let z(i) = i + 17. Let o be z(-11). Put v, o, 3, 1 in descending order.\nAnswer: o, v, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*r = -2*r - 212, 0 = -2*r + 8. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**5\/20 - 3*c**4\/4 + c**3\/2 - 7*c**2\/2 + 2*c. What is the tens digit of t(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/7777 and -65\/9.\nAnswer: 69993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -1 - (-2 + (12 + -7 - -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**7\/(i\/(i**(5\/2)\/i))*(i*i**7)\/((i**(2\/7)*i)\/i) assuming i is positive.\nAnswer: i**(213\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/77939 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-3)\/(-3)) + 2\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 16*h + 5*h + 17*h - 35*h. Let i(y) = 4*y - 15. Give s(i(g)).\nAnswer: 12*g - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1152 and 1759680?\nAnswer: 3519360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -27*p**3 - 17*p**2 - 12*p - 68. What are the prime factors of b(-9)?\nAnswer: 2, 9173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - -0.3. Let p = -0.1 - g. Let f = 0.6 + p. Which is the third smallest value? (a) f (b) 2 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 9*x - 125. Determine c(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 2*s + 2*s)*(-2 - 2 + 3) + 7 - 7 + 6*s + 7*s - 7*s - 5*s + (0 + 0 + 9)*(3 - 5 + 6)*(-s + 2*s + 0*s).\nAnswer: 35*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -3*p + 29, 7*p + 336 = -3*y + 409 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 190, 601, 1688, 3787, 7234, 12365?\n\"Answer: 56*o**3 + 2*o**2 + 13*o + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 8 (b) -607 (c) 14 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 332\/15 - 5059\/30. Suppose -4*j = -0*j - 2*a - 442, 2*j - 217 = 5*a. Let h = t + j. Find the common denominator of 59\/4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27205700.\nAnswer: 2, 5, 197, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 103c - -4?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1563.7 + 1563.86225. What is u rounded to 2 decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3495\/(-630) + 6 - 3\/18.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pb when two letters picked without replacement from poirb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 218 + -222. Let r(l) = l**3 + 5*l**2 - 3*l. Calculate the lowest common multiple of (-13)\/(130\/c)*15 + 48 and r(-5).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 3*m + m)*(2 - 1 - 3) + 0*m - m - 2*m + 6*m - m - 2*m - 4*m + 4*m + 6*m + (-3*m + 3*m + m)*(2 + 2 - 3).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 - 65*i**2 - 235*i - 175.\nAnswer: -5*(i + 1)*(i + 5)*(i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 0*z**2 - z**2)*(-2372*z**3 + 2567*z**3 - 6624*z**3).\nAnswer: 6429*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1474399631*r**3*z - 2229431*r**2*z + z + 38 wrt r.\nAnswer: -8846397786*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 456 + 146 = 0. Let m be 1\/3 - a\/3. Suppose 121 = 5*s + 3*w + m, s - 32 = -3*w. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**5 - c**4 - c**3 - c**2 + c. Let q(s) = s**3 + 8*s**5 + 14*s - 20*s - 3*s**2 - 4*s**4 + 13*s + 2*s**4. Let g(a) = 21*o(a) - 3*q(a). Solve g(m) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*-0.078.\nAnswer: -1.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5939, -6119, -6299?\nAnswer: -6479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -5 (b) 7 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y**3 - y**2 + y + 1. Let r be d(-1). Let x be (-3)\/9*r\/(-7). Let k = 6 + -9. Sort x, k, -1 in descending order.\nAnswer: x, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 16 - 19 - 4*p**2 + 6*p**2 in the form x + a*p**2 + b*p and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/369 and -11\/5067.\nAnswer: 207747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 506263 (base 7) to base 11.\nAnswer: 59877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 107.6 * 23.122.\nAnswer: 2487.9272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 931 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19537106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 818126052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 2*n + 5. Suppose -2*s = 5*s - 973. Calculate the remainder when s is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*v - 4978 = -7094 - 9854 for v.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6287 is divided by 203.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -513665 * -62.3\nAnswer: 32001329.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l - 12. Let g(w) = 2613*w**2 - 1311*w**2 - 1323*w**2. Give o(g(s)).\nAnswer: -42*s**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10932, -10917, -10890, -10845, -10776, -10677?\n\"Answer: u**3 + 8*u - 10941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 193310 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 424523 + 424891 - 849414.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 2*g**2 + 2\/3*g**3 + 1\/12*g**4 + 0 - g. Let l(x) = 0. What is x?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/48763048 and 91\/40?\nAnswer: 243815240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 12 = -l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-6)\/4*1. Calculate the remainder when 49 is divided by 12 - (g - -1)\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/5)\/(9\/30*(-54)\/(-405))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 20 = 5. Suppose 0 = 3*i - 3*p, z*i + 17 = -5*p - 3. Is 116\/5 + i\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 197*z**5 - 4*z**3 - 1989*z**2 wrt z.\nAnswer: 11820*z**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/4718679 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -110?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2366 + -0.0686. Let t = s - 0.668. Let r = -2\/3 + 7\/6. Is t at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 0*h**2 - h**2)*((0*h - 2*h + 4*h)*(-2*h + 2*h - h) + 1701 - 21*h**2 - 1701 + 8 + h**2 - 8).\nAnswer: -22*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 375 - -34. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 264, 455, 646, 837, 1028, 1219?\n\"Answer: 191*t + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-63)\/3)\/(-21))\/((-8)\/(-40)*10\/84).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/50*2)\/((1293\/6034)\/((-20)\/(-14))).\nAnswer: 64\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -352666*o**3 + 2*o + 176231*o**3 + 176444*o**3 - 2*o.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*(31768\/(-2280))\/209?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35744214 by -4.\nAnswer: 17872107\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (957*f + 889 - 889)*(-4*f**3 - 4 + 4 + (-2*f**2 + 5*f**2 - 4*f**2)*(2*f + 0*f + 0*f)).\nAnswer: -5742*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**3*l**3*q + 2*j**3*l**2*q - 15512*j**3*l*q**2 - 5*j**3 - 16*j*l**3*q**2 + 2*j*l**2 + 207*l**3*q + l**3 wrt q.\nAnswer: -31024*j**3*l - 32*j*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 10*w + 100*w.\nAnswer: 93*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 851597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28\/(-2)*(-2080)\/112. Let f = -253 + m. Let x be ((-4)\/2)\/(2\/(-56)). Calculate the highest common factor of x and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 506 + -493. Suppose 3528 = 27*r - s*r. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.96 + 0.04. Let v = 103 + -105. Which is the closest to -1? (a) v (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1190 - 1168 - 2*h**2 + 3540 - 1182.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2. Let q be -4 + (-18)\/(-3) + -3. Let c(k) = -k**3 - 2*k. Let f(h) = q*c(h) + 4*s(h). Let g be f(-2). Sort -4, 3, g in decreasing order.\nAnswer: g, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 21 - 12*l)*(6 - 3 - 2) + (0*l - 3*l + 2*l)*(-3 + 0 + 1) + 1232 + 96*l - 1232.\nAnswer: 86*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/19))**(-7) assuming v is positive.\nAnswer: v**(7\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(20) + 0.\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-7))\/(-2 + (-26)\/(-14)). Let i(r) = r + 2. Let n be i(7). Let y = 17 - n. Solve -f + y = -m*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11502854*o**2*z**3 + 3873*o*z**3 + 8*o + 50*z**2 wrt o?\nAnswer: 23005708*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -37a (base 11) to base 10\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eekykk. Give prob of picking 2 e.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Convert -1ffbe (base 16) to base 7.\nAnswer: -1053641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*v + 27*v = 2605. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zzjzzjzzjjjzjzzjzjj?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3270 and 1784766.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 4 = g. Let o(w) = 4*w**2 + 2*w - 7. What is the units digit of o(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*x - 17665 = -21175 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73757570 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10518 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: Calculate ((-63)\/(-54)*-2)\/(56\/(-264)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7\/3 (b) 4 (c) -5 (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -5125, -3\/4 in decreasing order.\nAnswer: 4\/5, -3\/4, -5125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-6) - (-24)\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 + 2*i**4 - 2*i + 28*i**3 - 28*i**3 to n + t*i**4 + d*i**2 + j*i + a*i**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.85885 micrograms in grams?\nAnswer: 0.00009885885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(27\/(-2)))\/(11\/(-1023)). What is the biggest value in -4\/9, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 102 + -103. Let h(a) = -a - 2. Let n(k) = 12*k + 21. Let j(t) = z*h(t) - n(t). What is the derivative of j(s) wrt s?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 2:18 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 256, 440, 638, 856, 1100, 1376?\n\"Answer: i**3 + i**2 + 174*i + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2005*h - 3*l + 11 = 2007*h, 35 = -15*h + l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + u**2 - u - 2. Give s(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*c**4 + 82653*c**3 + 264984*c**2 - 3247836*c - 733920 = 0. Calculate c.\nAnswer: -3058, -8, -2\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -16*c + 10. Suppose -9 - c = 11*h. Put 0.1, h, -15 in decreasing order.\nAnswer: 0.1, h, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*t = 5275 + 3757 - 1220 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence offe when four letters picked without replacement from qbfqbfeom.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 289*d**2 + 5141*d + 206. What is r(-19)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*i + 2006 = 0, 0 = 2*d - 4*i - 284 - 724. What are the prime factors of d?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 163, 381, 583, 763, 915?\n\"Answer: -q**3 - 2*q**2 + 231*q - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335 = 3*b - 226. Suppose 0 = -6*h + 697 + 1031. Let p = -271 + h. Calculate the greatest common divisor of p and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 184143507?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1467 and -4.03.\nAnswer: -5912.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.049 + 0.048999782. Round a to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 140*o - 1. Let t(k) = 2 - 1139*k**2 + 1138*k**2 - 2. Determine t(l(r)).\nAnswer: -19600*r**2 + 280*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 4, c: 14}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 43.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302 - 22 = 139*n + n. Let k(i) be the first derivative of -2 + 10\/21*i**3 + 0*i + 4\/7*i**n + 1\/14*i**4. Determine p so that k(p) = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1 + sqrt(448))*-6 + (sqrt(448)*-2)**2*-3) + 3*(4 + (sqrt(448) + -1 + -3)**2).\nAnswer: 96*sqrt(7) + 33624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/(-36))\/((-16)\/96) + -23.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3242 divide 24968739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 12*j + 25. Calculate m(-12).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -92\/37?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v**3 + 3*v**2 - 12*v + 4. Let n(k) = 14*k**3 - 8*k**2 + 36*k - 11. Give -8*i(l) - 3*n(l).\nAnswer: -2*l**3 - 12*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(150)\/sqrt(5))\/(3*sqrt(486)) - (-3 + (((sqrt(315) - (-1*sqrt(315) - sqrt(315))) + sqrt(315))\/sqrt(7))\/(sqrt(144)*-4)).\nAnswer: 5*sqrt(5)\/36 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3520 + -3541. Suppose 23 = -2*p + 3*k - 100, -260 = 5*p + 2*k. Let y = f - p. List the prime factors of y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5 = 3*k. Let q be 5\/(-2)*(-8)\/5. Suppose q*h - 10 = -k*b + 27, -25 = -5*h - 2*b. Solve 5 = -h*v + 14 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 4*m + 10 = 0, -4*h - 12*m = -11*m + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 17 - 25 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/sqrt(512) - sqrt(7)) + 3*(sqrt(7) + 1 + sqrt(7))**2.\nAnswer: 89*sqrt(7)\/8 + 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.9401 + -0.0501. Let l = t + 3.91. Round l to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 471119.7 decades to months.\nAnswer: 56534364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3207 or -15188?\nAnswer: -3207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30639*j + 4611*j**3 - 4638*j**3 + 30643*j.\nAnswer: -27*j**3 + 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/16 of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 10*y + 1. Let z be n(10). Are z and 4\/21 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 549 = 10*w - 4741. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -264, -305, -344, -381, -416, -449, -480?\nAnswer: -509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.6 or 326?\nAnswer: 326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1258 is divided by 85.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(1\/3)\/(((y*(y**2*y)\/y)\/y)\/y))\/(y**(-1\/3)*y*(y*y\/(y*y\/y**(-3\/5)))\/y*y*y))**(-10))**(-2) assuming y is positive.\nAnswer: y**(-104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22332 - -2287?\nAnswer: 24609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/12)\/((-2)\/32). Let u = -12 + k. Let b = -6.9 + 7.9. What is the closest to -0.1 in 0.2, u, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 135389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5873, 37, 4, 1 in decreasing order.\nAnswer: 37, 4, 1, -5873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 69. Let u be ((t\/(-5))\/(-3))\/((-12)\/(-30)). What is the highest common divisor of 30 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 613972*x.\nAnswer: -4*x*(x + 153493)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -1, 82, 171, 260, 343, 414, 467?\nAnswer: 496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 s when three letters picked without replacement from qiwsswqsqssws?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 12\/6) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.24 + -147.24. Which is the third biggest value? (a) q (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 328 - 160. List the prime factors of (-183)\/((t\/(-40))\/7).\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000092836 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -750.38 times 0.18?\nAnswer: -135.0684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 2*j + 16 = -x, 5*x - j + 23 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 90 + -114.15. Let m = f - -18.594. Let b = m - 0.144. What is b rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**4 + 101958537*n**3 + 163049739*n.\nAnswer: 12*n**2 + 611751222*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56998 = -4086*j + 53324 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -14. Let v(h) = t + 16*h - 13*h - 2. Let c be v(-6). Is -12 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 8:58 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 0.3, -38.4, 2\/207, 2 in increasing order.\nAnswer: -38.4, 2\/207, 0.3, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 9. Let z(m) = -2*m - 1. Let n be z(-5). Suppose -25 = n*w - 4*w. Determine a(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87828 minus -1864.4?\nAnswer: -85963.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**8\/168 - 101*f**7\/35 - 61*f**6\/4 - 917*f**5\/30 - 51*f**4\/2 + 2*f**2 + 68. Solve g(m) = 0 for m.\nAnswer: -1, 0, 306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 806378.9 rounded to the nearest 10000?\nAnswer: 810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 475660553 to the power of 1\/2, to the nearest integer?\nAnswer: 21810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 10*h = -28. Let q(r) = 21*r - 32. Let j be q(h). Which is the second biggest value? (a) j (b) 0.2 (c) -2 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -402 - 895 = 4*c + 5*t, -4*c + 3*t = 1321. Suppose -5*q - 39 = -49. Does 41 divide ((-2)\/(-4))\/(q\/(c\/(-2)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49 - -52.61. Let o = z + -3.41. Is o bigger than -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 0 - -1)\/2. Let v(c) = c**2 - c - 4. Let w be v(a). Put 5, w, 2 in descending order.\nAnswer: 5, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 11*y + 1. Let z(g) = 5*g + 1. Suppose -8*h - 4 = 5*t, 5*t - 5*h + 6 + 24 = 0. What is t*o(m) + 9*z(m)?\nAnswer: m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 135 - -2?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7, 0, 16, -1392, 3, -3 in increasing order.\nAnswer: -1392, -7, -3, 0, 3, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/724 and 107\/18?\nAnswer: 6516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27804029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 32 - 72 = 0. Solve -v*w - f = -22, -3*w + 2*f = -2*f - 27 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6}. What is prob of sequence vv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**2 + 1425*s - 4248 = 0?\nAnswer: 3, 472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - q + 2*f - 2, -f = q + 9. Let r = -419 + 414. Is q <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 364103 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*m - 7*m + 69*m - 17*m + 132*m + 40*m.\nAnswer: 266*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 d when four letters picked without replacement from {i: 1, w: 1, x: 1, u: 1, d: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2286 by 18.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -16, -1, 14, 1 in descending order.\nAnswer: 14, 1, -1, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4 = -2*b, 3*b + 24*s - 8 = 20*s. Solve 4 = b*y - 16 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - -1. Suppose 3*x = a + 9, -a + 4*x - 17 = -5. Suppose a*u = 5*u - 50. Calculate the greatest common divisor of u and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2001*w + 72450 = -9751 - 24414 - 5441 for w.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*q = -17, 0*o - 2*q = -2*o + 2. Suppose -o*p + 2*j + 669 = 0, -2*p = -4*p - 2*j + 446. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -21, -1 in increasing order.\nAnswer: -21, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/4 + (-608)\/(-128))\/((-2)\/(-10))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y. Let s(b) = -398*b + 398*b + 359*b**2. Give f(s(x)).\nAnswer: 359*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 (base 12) in base 7?\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 12*l**2 - 63*l + 493. Let f be n(14). Put f, 0, -2, -1, 7 in decreasing order.\nAnswer: 7, f, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4470*q + 890 wrt q.\nAnswer: -4470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - q)*((-q + 0*q + 3*q)*(-1 - 1 + 1) + 2*q - 5*q - 8*q) as v*q**2 + f*q + a and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 925.6879nm in millimeters?\nAnswer: 0.0009256879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 1. Let a(o) = -o + 5. Let x(g) = -a(g) - 2*m(g). What is the first derivative of x(i) wrt i?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ellle. Give prob of sequence ll.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/30 - 122\/(-15). Suppose g*l = 4*l. Suppose 3*r - 4*p - 241 = l, -3*p = -5*r + 251 + 158. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101310 (base 4) to base 6.\nAnswer: -5140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/126 and -37\/9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 719528932 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, -43\/8, 2\/13.\nAnswer: -43\/8, 2\/21, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 8\/101389?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336*j + 866*j + 385*j - 461*j + 583*j.\nAnswer: 1709*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048 a factor of 32127488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -2\/5 (c) -1\/322 (d) 56 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7339468 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1771955503 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2724 is divided by 109.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + sqrt(1300) + (-2 + sqrt(1300))*-2)*-4.\nAnswer: -160*sqrt(13) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x**4 - 16*x**3 - 202*x**2 + 976*x - 759 = 0. Calculate x.\nAnswer: -11, 1, 3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1\/o)\/o)**(9\/7)*(o**(-5)\/o)\/o*o**(-1\/3) assuming o is positive.\nAnswer: o**(-181\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 335829 and 545.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d. Let v(n) = -321*n**2 - 12. Let j(i) = 64*i**2 + 2. Let a(k) = 11*j(k) + 2*v(k). Calculate a(w(y)).\nAnswer: 2232*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70460*k - 35221*k - 35279*k.\nAnswer: -40*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2. Let m be v(1). Let r be -2*((-18)\/2 + m). Factor 8\/3 + 50\/3*j**4 + 8*j - r*j**3 - 22\/3*j**2.\nAnswer: 2*(j - 1)**2*(5*j + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -564*p - 15. Let q be t(-1). Suppose q = 5*l + 5*a - 1741, -2269 = -5*l + 2*a. Calculate the highest common divisor of l and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 13*v**2 + v. Let m be g(-1). Let n be ((-1)\/(-2))\/((-1)\/m). Let l(u) = u**3 + 6*u**2 + 1. What is the units digit of l(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3680638?\nAnswer: 2, 13, 53, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1184 - 1180. Solve 3*u = s*a + 13, 10 = 5*u - 3*u - 3*a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 6. Suppose 18 = 2*m - r*m. What is the remainder when 43 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -376 (base 14) to base 16\nAnswer: -2b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.7, -0.04, 6, 2\/13?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**3\/3 + 17*w. Let m(j) = -12*j + 23*j - 9*j. Determine q(m(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q - q - 3*q + 5*q. Let x(j) = -j**3 + 6*j**2 + 4. Let i be x(6). Let k(n) = 3*n - i*n - 3*n + n. Calculate k(o(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxqxqqxxxxqxxxxx. What is prob of picking 2 q and 2 x?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**21\/o**7 assuming o is positive.\nAnswer: o**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.273 + -0.31. Let f = p - 3.663. Round f to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*n + 8*n = -5, -s - 5*n + 9 = 0. Which is the smallest value? (a) 0.2 (b) -2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3163, 67\/8, 1 in increasing order.\nAnswer: 1, 67\/8, 3163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*m - 44*m + 3*p = -6, 0 = 3*m + p + 2. Is -2\/4335 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 40 = -3*y - 2*r, 2*r = -5*y + 94. Let s(z) = 3*z + 1. Let u be s(2). Suppose -v + 28 = -u. What is the remainder when v is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 6*f - 6. Suppose 0 = 7*j - 3*j - 4*s, f*j + 5*s = -7. Which is the closest to 1? (a) 5 (b) j (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41360.\nAnswer: 2, 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - ((1 - 1) + 2). Let g be 5 + -1 + (-1 - r). Suppose 0 = b - g*b + 6. Solve -b = -3*c + 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1765447 (base 10) to base 7.\nAnswer: -21002035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11978745*w**2 + 8*w - 67017?\nAnswer: 23957490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 102016238 a multiple of 2309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 351*o + 18958. Calculate n(-54).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3369 is divided by 70.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3406 + -3358 - (6 + 1 + -2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 130488743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from faaaxaafx. What is prob of sequence xfxa?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 10*u - 61. Give b(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010000011201 (base 3) to base 15.\nAnswer: 229dd4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 3\/(-2)*-2*95\/15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 73700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 - 2 - 2 + 165*q**2 + q**4 - 165*q**2 in the form o + d*q + l*q**2 + f*q**4 + n*q**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 14 = 2*w + 11*j - 13*j, -3*j = 21 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 122624 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 0.143565516.\nAnswer: 5.143565516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 101*d**3 - 112*d**2 + 403*d - 130. Let l be p(110). Round l to the nearest one million.\nAnswer: 133000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 6*s**2 + 2*s - 1. Calculate x(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3 = -17. Suppose -c - d = -2*u - 6*c, -2*u + 3*c = -13. What is the remainder when u is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71449 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.014571 rounded to 2 dps?\nAnswer: 31.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -155\/414 - -7\/46. Sort g, -0.8, 2, 0.1 in descending order.\nAnswer: 2, 0.1, g, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5165 - -92911\/18. Find the common denominator of -111\/176 and q.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -2\/7, 2\/363, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 266648 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**2 + 5*i**2 + 7*i**2 + (7*i - 2*i - 3*i)*(3*i + 2*i - 6*i).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -121 * 1577.\nAnswer: -190817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 576 and 2880.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/10? (a) 4 (b) -4 (c) -0.1 (d) 8\/19 (e) 7645\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 10:50 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01250267469 rounded to six decimal places?\nAnswer: -0.012503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6601 is divided by 3287?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g + 4*m = -58, 88 = 3*g + 2*m. Suppose 55*o + 1243 = 205*o - 857. Calculate the remainder when g is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**4\/12 + 2*g**3\/9 - 4*g**2 - 1746. Factor r(u).\nAnswer: u*(u - 4)*(u + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -0*p. Suppose -u + 6 = u. Let m = u + -3. Is m at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65786 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*i - o, -1 = -i - 5*o + 12. Suppose -i*t + 4 = -p, 2*t + 2*p - 5*p = 12. Solve -2 = 2*l - t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 340193*b*c*i + 31*b*i + 135*c*i + 85*i - 5583 wrt c?\nAnswer: 340193*b*i + 135*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-14)*-1*(-7)\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 89 in increasing order.\nAnswer: -2, 4, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n - 30. Calculate the least common multiple of o(-11) and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.037?\nAnswer: -0.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 - 14 + 14 + 0.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2. Let n(a) = 8*a. Let o(d) = 9*d. Suppose -b - 12 = 2*b. Let s(w) = b*o(w) + 5*n(w). Calculate s(k(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7475.17l?\nAnswer: 7475170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 458024 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 295.7883 minutes to milliseconds.\nAnswer: 17747298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -243 - -242.999718. What is o rounded to five dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 523\/8865 or 1?\nAnswer: 523\/8865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*l + 59 + 1514. Calculate the least common multiple of 77 and l.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 9) to base 11.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.044 + 2.144. Let n = 2.07 - m. Sort n, -0.3, 1 in ascending order.\nAnswer: -0.3, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (968*z + 1 - 14*z**2 - 968*z)*(52 + 18 + 2).\nAnswer: -1008*z**2 + 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-3 + 0 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, 26\/21, -1\/5, 1\/5 in increasing order.\nAnswer: -1\/5, -2\/21, 1\/5, 26\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17\/18 - 4\/9. Let l be 1\/2*2\/(-5). Which is the nearest to 0.3? (a) 2\/9 (b) l (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.2806294 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -3, 19 in decreasing order.\nAnswer: 19, 8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 641859*n**2 - 641790*n - 69 = 0.\nAnswer: -23\/213953, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -629*q - 85. Let g(a) = -45*a - 24. Let z(y) = 90*y + 51. Let h(f) = -13*g(f) - 6*z(f). Calculate 85*h(c) + 6*l(c).\nAnswer: 51*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/21 (b) 0.4 (c) -2\/9 (d) -1 (e) -1\/52\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -309 + 309. Factor -2\/9*q**5 - 4\/3*q**3 + 8\/9*q**2 + v + 8\/9*q**4 - 2\/9*q.\nAnswer: -2*q*(q - 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h - 65*h**2 - 114092*h**3 + 114090*h**3 - 4*h.\nAnswer: -2*h**3 - 65*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50382983099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 3 + -1 - -69. Let a = q + -543\/8. What is the second smallest value in a, -0.3, 1\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -34, -71, -108, -145?\n\"Answer: -37*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*5*sqrt(70)\/sqrt(5))\/((3*sqrt(384) + sqrt(384))\/sqrt(3))*6.\nAnswer: -75*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 14*f**2 + 394*f + 461. Determine o(-27).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 9 - 5. Suppose d*r = r. Factor r + 0*p + 2\/5*p**2.\nAnswer: 2*p**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31794 = -17*x - 30638. What is the remainder when 2244 is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 110 (b) -4 (c) 9 (d) 1 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - ((27 - 14) + -13)) + (-8 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 6.1. Let l = 18 - 21. Let g = -4 - l. What is the closest to b in 0.1, -1\/7, g?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 71813?\nAnswer: 71812.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -68, 25, 3, 0.4, 39\/35?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**3 - 14324505*h**2 + 14324490*h + 28649000 = 0. What is h?\nAnswer: -1, 2, 2864900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 4*v = -25, 5*s + 9 - 84 = 5*v for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.31 + -1.4. Let u = 76 + -13. Let o = 62 - u. Which is the smallest value? (a) o (b) -2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55475 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-2 - 9) - (0 - -1) - 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 0.1, 89, 0.3, -4850?\nAnswer: -4850","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - 0 - (-4340)\/(-1260). Let h = 3.96 + 0.04. Let s = -0.261 + -0.039. What is the closest to -2\/5 in s, k, h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5747.7 and -3.28?\nAnswer: -18852.456","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 54333440 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 59*l**2 - 272*l - 114. Give z(-54).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 5*q = 3760. Suppose 13*x - 648 = q. List the prime factors of x.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33*a**3*l + 6731*a**2*l - 1904382*l wrt a?\nAnswer: 99*a**2*l + 13462*a*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 56*u + 444. Let a be i(7). Put a, -4, 52 in descending order.\nAnswer: 52, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -231? (a) 2\/5 (b) 3 (c) 4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.09 and -423.\nAnswer: -423.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 19*m + 377. Let g be v(27). Let s = 2241 - g. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2189 + 28497\/13. Let l be (75\/(-20))\/(6\/16). What is the common denominator of ((-2)\/l)\/((-32)\/(-940)) and g?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -8*c**2. Let u = -3331 - -113. Let l = u + 4509. Let t(v) = -l*v - v**2 + 1291*v. Give t(g(j)).\nAnswer: -64*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*(520 - 132\/12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 3*q + 45, 0 = w - 8*q + 10*q + 17. Suppose -72 = -3*l + 2*n, 0*n = 3*l + 4*n - 72. Suppose -3*b = 18 + l. Are b and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 12:19 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/1080*12*-3.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1481*x + 296*x = -29958 - 77877 for x.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 212 + 453. Let j = p + -659. Let u(x) = 3*x + 8. Give u(j).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1604720 divided by 4.\nAnswer: 401180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -305032, -304622, -304212, -303802?\nAnswer: -303392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 168 + -164. Is w at most as big as 18\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 10*x**2 + 10*x + 18. List the prime factors of r(-5).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3633 is divided by 158?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z**(-7\/2)\/z))\/z)\/z**(-2\/71))**(-2\/39) assuming z is positive.\nAnswer: z**(-643\/2769)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1462*k + 1459*k - 1308 + 1308.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 25 - 25. Solve r = 3*x - 5*u - 8, 36 = -5*x + 4*u - 8*u for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (982*y - 639*y + 245*y)*(y + 0*y - 2*y) to the form j + p*y + w*y**2 and give w.\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -30191.\nAnswer: -150955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4169 + -5123. Let c = 16741 + f. Suppose -c = -m - 2*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -13*z + 29. Determine l, given that 2\/7*l**4 - 2\/7*l**5 + 0*l + 2\/7*l**z - 2\/7*l**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20093, -20137, -20181, -20225, -20269?\nAnswer: -20313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 j when two letters picked without replacement from gjjgegeegggjggjeg?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + 0)*(0 - 1). Let i be 5*3\/(d\/(-2)). Suppose i = 4*l - 41. What is the remainder when 41 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -37*h**4\/12 + 2*h**3\/3 + 851*h**2. Calculate j(1).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.4 (b) 0.2 (c) -0.5 (d) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 30 (b) -0.1 (c) 5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10608\/4488)\/(2\/11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -68032, -68018, -67994, -67960, -67916, -67862?\n\"Answer: 5*d**2 - d - 68036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-18)*b)\/(b\/(b\/((b*b*b**(-3\/7))\/b)*b*b)) assuming b is positive.\nAnswer: b**(-95\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 2.5138.\nAnswer: -1.2569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3034 (base 5) to base 2.\nAnswer: -110001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -23, -29, -35, -41, -47?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 4*b + 2*h, 2*b + 0*h + 3*h = -15. Let p(q) = q**3 + 7*q**2 + 4*q - 5. Let t be p(b). Solve 2*i = 5*d - 19, -2*d - 4*i = -t*d + 13 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70*-0.047541.\nAnswer: -3.32787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 135206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 - 2*o + 2*o)*(17*o**2 - 58*o**2 + 7*o + 24*o**2).\nAnswer: -17*o**5 + 7*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 9:01 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 7:29 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (86*r + 120*r - 1 + 34*r)*(-2*r**3 + r**3 - r**3 + (4 - 4 + r**2)*(1 - 2*r - 1) - r**3 - r**3 - r**3) as s*r**2 + v + d*r**4 + m*r**3 + z*r and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a + 2*a + a)*(-2*a - 631 + 4*a - 378)*(2*a + 3 - 3) in the form r*a**2 + z*a**3 + m + s*a and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 729680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*h**2*n**4 + 1194*h**2*n**2 - 141*n**4 wrt n?\nAnswer: -96*h**2*n - 3384*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 219*u**2 - 8872*u + 8873*u + 3687*u**2 + (-2*u - 2*u + 3*u)*(-2*u + 0*u + 0*u).\nAnswer: 3908*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) + (sqrt(140)*-2 + sqrt(140) - sqrt(140))\/sqrt(10))*2*-1)\/(sqrt(294)\/sqrt(3) + sqrt(22)\/sqrt(176)).\nAnswer: 8*sqrt(7)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 18 + 8 + -17?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)*2*3*-5*3)\/(-2*(sqrt(490)*-1 + (sqrt(10) + sqrt(360)*2 + sqrt(360) - sqrt(10)))).\nAnswer: 225*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -339697650479\/1930 - -176009153. Let i = f - -5\/193. What is the common denominator of i and (-2)\/4 - 44\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7*o**4 + 24*o**3 + 72*o**2 + 100*o + 44. Let r(q) = -q**4 - q + 1. Let t(n) = j(n) + 4*r(n). Factor t(f).\nAnswer: 3*(f + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 454576090?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80 by -226.\nAnswer: 40\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 4062*a - 216632.\nAnswer: 2*(a - 2083)*(a + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7133, -7146, -7169, -7202?\n\"Answer: -5*y**2 + 2*y - 7130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4720139.4 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -754 or 35?\nAnswer: -754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**3 + 0*p**2 + 0*p**2 + 0*p**3 - 20 - 6*p**2 + 62 - p to the form w*p**3 + g + r*p**2 + j*p and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3357368*o**3*v**3 - o**3*v - o**3 + 3*o**2*v**3 - 520178*o**2*v - 2*o*v - 3 wrt v?\nAnswer: -20144208*o**3*v + 18*o**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 127, -3\/2?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w. Suppose 0 = -3*x + 6 + 6. Let s(g) = -6*g**2 + 4*g - x*g. Give s(c(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 27*l - 29*l - 32, -28 = -10*c + 4*l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9712800 and 2300400.\nAnswer: 87415200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**5 + 0 + 0)*(-1 + 0 + 0) + 4*i**3 + 36*i**5 - 6*i**3 - 92*i**5 + (5 - 2 + 5)*(i**5 + i**4 - i**4).\nAnswer: -49*i**5 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.8054912 to 2 decimal places.\nAnswer: -1.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d = -1353 + 1344 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1217*r**2 - 2010222*r + 2010222*r.\nAnswer: -1217*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 1:30 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**5\/150 - 3*x**3\/5 - 216*x**2. Factor o(r).\nAnswer: 2*(r - 3)*(r + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22\/6 + (-6)\/9. Suppose 2*x = m*x. Let y be ((4\/3)\/2)\/2. Which is smaller: y or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -17.5203.\nAnswer: -105.1218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -28*((-26)\/8 - -1 - 275\/(-220)). What is the greatest common factor of u and 714?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -486, 166, 5, 2, -12 in descending order.\nAnswer: 166, 5, 2, -12, -486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u + 9. Let o(g) = g - 4. Let x(y) = -4*d(y) - 9*o(y). Let r(t) = 6*t. Let v(l) = -5*l. Let i(h) = -6*r(h) - 7*v(h). Determine x(i(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8*l**2 + 9*l + 21. Let f be g(-6). Calculate the greatest common divisor of f and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 38*k**3 + 2*k**2 - 1. Let c be j(1). Let v be -3 + 3 - (18 - 18). Suppose 0*o + 3*o - c = v. Calculate the remainder when o is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 350 + -350. Solve y = 18*b + 53 + 55 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18216 is divided by 792?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**3 + g**4 + 0*g**3 + g**2 + g**4 - g**2 + (-3 + 3 - 2*g)*(6*g**3 + 4*g**3 - 8*g**3) to w*g**2 + o*g + h*g**4 + c + s*g**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -21592079280 rounded to the nearest 100000?\nAnswer: -21592100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (1221 - 3815 - 2404 + 309 - 1846)*(0 - q + 0 + (0 + 0 + 2)*(-6*q + 3*q + 2*q)) as f*q + r and give f.\nAnswer: 19605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1640*n**4 - 11201.\nAnswer: 6560*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n + 8*n + 3*n + 2*n**2 - 3*n**2 - 9. Let c be z(6). Put -1, 5, c in descending order.\nAnswer: 5, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 89728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(-4)\/(-12)*(-2)\/12.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfmvqqdqdvdeedv. Give prob of picking 2 e.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 3*s - 2. Calculate t(10).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 2*w. Let p be i(-2). Solve p*d = 7*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 715.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 1 + 1 + 3 - 3 + (0 - 1 - 1)*(2 + 3 - 6))*(-4*j**4 + j**4 + 5*j**4)*(1 - 3 - 3) as c + v*j**2 + m*j**3 + n*j**4 + l*j and give n.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 36383834.5 rounded to the nearest 1000?\nAnswer: 36384000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 253*o**5 - 694*o**4 - 219573*o**2 - o?\nAnswer: 15180*o**2 - 16656*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -60589 divided by -4?\nAnswer: 60589\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438*r + s - 451 = -2*r - 9*r, 3*r + 5*s = 13 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*c**2 - 2*c + 0*c + 133*c**2 + 0*c.\nAnswer: 107*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yrg when three letters picked without replacement from gvtyr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -255 + 257.97. Let p = o + 132.03. Let a = -135.00122 + p. What is a rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -8*p**3 - 9*p**2 - 21*p + 5. Let w(z) = 2*z**3 + 2*z**2 + 5*z - 1. Let x(y) = -y**2 - 22*y + 57. Let n be x(-24). What is n*w(a) + 2*j(a)?\nAnswer: 2*a**3 + 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 4)*(10*n + 14*n + 10*n) - 2 + 19*n + 8*n - 9*n.\nAnswer: 52*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 12 = 13. Calculate the highest common divisor of o and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -22 + -24 + 16?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(80) + 3 + (sqrt(55) + sqrt(220))\/sqrt(11) + (sqrt(500) - sqrt(500)*1) + -4 + 5)**2.\nAnswer: 84*sqrt(5) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z**2 - z. Calculate a(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*p + 4 = 0, 0*r - 3*r + 2*p + 1 = 0. Let z = -0.4 + 0.6. Let h = -51 + 46. What is the smallest value in r, h, z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 19*r**2 - 14*r - 31. Let u be f(-21). Let v = u + 622. Solve -c + 15 = 6*h - 3*h, -4*h = v*c - 25 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15701538?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 182 + -179. Suppose -o - 57 = u - 419, 0 = x*u - 5*o - 1062. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ueeutttkpttppupp. What is prob of picking 1 k and 1 t?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - (-3)\/6) + (-7)\/26. Which is greater: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -68. Let k = h - -43.6. Is -5 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3944*n**3*q**2*u**2 + 2*n**3*q*u**3 - n**2*q**2*u**3 - 267*n**2*u**2 + 5*n*q*u**3 wrt n.\nAnswer: -23664*q**2*u**2 + 12*q*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-108*n - 92*n + 214*n)*(3 + 3*n**2 - 3)*(-5*n + n + 3*n) - n**4 - n**4 + 0*n**4 + (-2*n**3 - 5*n + 5*n)*(-2*n - 1 + 1).\nAnswer: -40*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -10. Let j = 0 + f. Solve j*x - 6 = -x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v + 8. Let f(p) = -1 + 5 + 13 + 14 - 13*p. Let a(l) = -2*f(l) + 9*r(l). Determine a(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9}. Give prob of sequence pp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*r - 89 + 20 = -c, c = r + 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-4))\/((-111)\/148)*168\/(-20).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 109179350 a multiple of 272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 0.007, 1.3, -5, 494\/7?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -d - 5*v + 89, 0 = -5*d - 3*v + 108. Let a(w) = w**3 - 4*w**2 + 2*w + 5. Calculate the remainder when a(5) is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 27 = 998. Let j = -141 + z. What is the highest common factor of 32 and j?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*l - 21853 - 9*l + 43724 - 21871.\nAnswer: 52*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1321 - 1292. What is the smallest common multiple of a and 3?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156122 and 475394.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(288) - sqrt(288)*-2) + sqrt(288)))\/(3*sqrt(72)\/sqrt(32)).\nAnswer: -128*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + b**2 - 2*b**2)*(-2*b + 4*b + 3*b)*(0*b**2 + 4*b**2 - b**2) + 3*b**5 + 4*b**5 - b**5.\nAnswer: -24*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 20*l = 19*l + 9, 0 = 4*q - 4*l - 12. Factor -17*o**2 - 18*o**q + 28*o**2 + 28 - 12*o + 6*o**2.\nAnswer: -(o - 2)*(o + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -350887 - -16?\nAnswer: -350871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 + 8*p**2 - 8*p**2. Let i(h) = 5*h**2. Determine i(r(x)).\nAnswer: 20*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2\/2 - 927*w\/2 - 2330 = 0. What is w?\nAnswer: -5, 932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1920\/(-3680)*20332\/102?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125939820 is divided by 395.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2854 + 2879. Solve -18*w + l*w = -7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105c4 (base 13) to base 4\nAnswer: 13031332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 23*c**2 - 3*c + 5. Give g(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/15 + 1132*j\/15 + 160178\/15.\nAnswer: 2*(j + 283)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 21*r - 101. Determine v(15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 991911911 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1588 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 2*w + 8 = -4*t, 4*t - 5*w = 20. Let x be 3 + (-2)\/(-1) + t. Suppose -7 - x = -3*l. Solve 3*n - 5*n + l = 0, 3*r - 1 = n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s + 3*s - s + 2 + (1 + 3 - 3)*(4*s + s - 4*s) + 38*s + 40*s - 31*s to l + y*s and give y.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -420.671 or -2\/47?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**2. Suppose -o + 1 = -1. Let g = 4 + o. Let u(y) = 5*y + 2 - g*y - 2. What is t(u(n))?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/984 and -127\/17958.\nAnswer: 71832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -192\/403 at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 24*o**3 + 2*o**2 - 1. Let n be m(-1). Let d = -14 - n. Solve -4*s - d = -1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2.69 (b) -2\/15 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 take away 686041?\nAnswer: -686022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37663 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2)*(-45)\/((-60)\/(-4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 16 = 4*d, 0*d + 4 = d - 2*y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 - o**3 - 2*o**3)*(-o - 2 + 2) + 2*o**4 + 2*o - 2*o + (-2*o**3 + 0*o**3 - 11*o**3)*(-18*o + 7 - 7).\nAnswer: 238*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4\/9 - -2\/9. Let z = -13.3 - -13. What is the closest to o in 1, 2, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3435130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 146.2 - 145.8. Put 4, 0.2, r, -0.08 in descending order.\nAnswer: 4, r, 0.2, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v + 64. Calculate p(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from ooaoeeo.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 10*q**2 - 2*q - 6. Let y(h) = 11*h**2 - 3*h - 7. Calculate 6*o(b) - 5*y(b).\nAnswer: 5*b**2 + 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 4. Let u be f*(-1)\/(-1) + -2. Let i = u + 0. Which is the second biggest value? (a) i (b) 2\/13 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 113629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**5 - 18*f**4 + 42*f**3 - 22*f**2 = 0. What is f?\nAnswer: -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 - 24*k**2 - 912*k + 10272. Give f(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + 2*sqrt(133)*3)\/(sqrt(252) + (sqrt(252) - sqrt(252)*-1) + sqrt(252)) + (sqrt(931) + -5 + (3 + sqrt(684) - sqrt(19)))**2.\nAnswer: -1145*sqrt(19)\/24 + 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74 - -73.646. Let w = o + 0.46. Let a = w - -3.894. What is the biggest value in 1\/8, -15, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 24, 5, -1 in decreasing order.\nAnswer: 24, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.00027 times -119.24\nAnswer: -0.0321948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-3) - (-51688)\/84 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*p**3 - 18*p**3 - 30*p**3 - 25*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -10, -29, -56?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 6 - (-4 + -18 + -6) - (-34 + 0)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -3*b**3 + 0*b**5 + 0*b**2 + 0*b**4 + 29\/6*b**6 + 0*b - 24. What is the third derivative of d(f) wrt f?\nAnswer: 1740*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54342 + 21?\nAnswer: 54363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence isv when three letters picked without replacement from {s: 4, v: 6, i: 3}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -5*q**3\/6 + 24*q. Let k(m) = -8*m. What is y(k(v))?\nAnswer: 40*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 236\/(-9) - (-2)\/9. Let w = j - -30. Solve 0 + w = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 124*a + 869. Let b be l(-7). Sort b, 4, 7, 21.\nAnswer: b, 4, 7, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 69*r**2 + 3*r - 203. Let k be x(69). Let m = 2 + -2. Solve 0*d = -3*d + 9, m = k*h + 5*d - 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 912.095 days?\nAnswer: 78805008000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 93494134 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 0*p = -3*p - 3, g = 4*p + 24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4561620881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/6 - (-17)\/3. Suppose b = -3*h + 36. Calculate the smallest common multiple of (18\/7)\/((-1)\/(-7)) and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9761439 minus 3?\nAnswer: -9761442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -726*t**3 + 60 + 50*t**2 + 511*t**3 - 115*t + 220*t**3.\nAnswer: 5*(t - 1)**2*(t + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115341 (base 8) in base 3?\nAnswer: -2000101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3968, -7843, -11696, -15515, -19288, -23003?\n\"Answer: 2*m**3 - m**2 - 3886*m - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k - 255 = 6*k. Calculate the remainder when k is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-4))\/(54\/(-72)). Let x be (c\/(-6))\/((-2)\/(-12)). Suppose 2*g = 3*q - q - 36, -x*q = 4. What is the common denominator of g and -1\/122?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.2 and -1.3.\nAnswer: 9.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3426.99 + 3396. Let d = v + 31. Let c = -0.009983 + d. What is c rounded to six decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000784536975 to 6 decimal places.\nAnswer: 0.000785","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4 - 4 - 6*k**2. Let v(o) = 37 + o - 22 - 15. Give v(g(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-14)\/217 + 8554602\/434?\nAnswer: 23, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quq when three letters picked without replacement from uquuqqquuquqqu.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 6:25 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v. Let h(m) = -3*m**2 - 3*m + 1. Let s be 0*(-4 - 1 - -4). Suppose d - 9 + 12 = s. Calculate d*n(u) - h(u).\nAnswer: 3*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1786aa (base 14) to base 5\nAnswer: -203030024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u + 137 - u**3 + 3*u**3 + 9*u.\nAnswer: 2*u**3 + 137","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12601 - 12599.2555. What is u rounded to one decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2*f = 2, -4*f = 5*x + f + 25. Let z = x + 4. Does 7 divide (5\/15)\/(z\/54)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 6, -0.3, -5, 5 in descending order.\nAnswer: 6, 5, -0.3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 21*b**2 + 9*b + 63. Determine p(-21).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7*x - 11. Let v(g) = 3*g - 5. Let a(w) = w**2 + 7*w - 6. Let c be a(-8). Suppose 4 = -c*q + 4*q. Let r(u) = q*y(u) - 5*v(u). Determine r(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20\/3 - 55\/3*d**2 + 35\/3*d.\nAnswer: -5*(d - 1)*(11*d + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 18*a**3 - 1. Let z(f) = 22*f**3. Determine 3*y(j) - 2*z(j).\nAnswer: 10*j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 157 + -222. Let u be -2 + -1 - 217\/p. Let k = -373\/65 + u. Find the common denominator of 41\/7 and k.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1505, 1565, 1625, 1685, 1745, 1805?\nAnswer: 1865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 11196.99g?\nAnswer: 0.01119699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 702.79 + -4\nAnswer: 698.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -11*y + 8. Let n be b(-11). Suppose 0 = -5*x + 4*q + 143, 5*x - n = -q + 4. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (-24 - (-1 + 0)). Suppose 3*r - q = -2*r. Which is the third biggest value? (a) -4\/5 (b) 3\/2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7043243 - 7042873.00065. Let b = h - 370. Round b to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -609066, -608926, -608786, -608646?\n\"Answer: 140*k - 609206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h - 1 + 5 - 2 + 6*h**2 - h**3 - 3*h**2. Let f be r(2). Does 4 divide -1*f + (-4 - -10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + x + 1. Suppose -3*h + 11 = -16. Let m(a) = -a**3 + 9*a**2 + a - 10. Let u be m(h). Calculate c(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -391 (b) 1\/7 (c) -2\/3 (d) -6 (e) -7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 571 + 19940 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -285 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 66303629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115 by 1357.\nAnswer: -5\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-198)\/120)\/(-1)*(-132)\/(-99) + -4.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142912, -142911, -142910, -142909, -142908, -142907?\nAnswer: -142906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/8)\/((-10)\/(-5)). Let p = 1.1 - 1. What is the second biggest value in t, 2\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6345 is divided by 176?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 13 (b) -3 (c) -0.009 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/15 + 114*c**2\/5.\nAnswer: -2*c**2*(c - 171)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (38\/190)\/((-24)\/(-20))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -23*k**3 + 8*k**2 - 8*k - 8. Does 5 divide m(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64853312 to the power of 1\/2, to the nearest integer?\nAnswer: 8053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 29925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*2 + (6 - (2 - -3)). Let p be (-9)\/z - 5\/(-40)*21. Let q = -0.06 + 0.05. Is q at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, -100, -0.11?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106 - 366 + 95 + 84 + 104 + 3*g**2.\nAnswer: 3*g**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22307004 - 22307006.8699994. Let z = n + 2.87. Round z to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*51603.9\nAnswer: -206415.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1800800 to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8033, 32960, 74509, 132680?\n\"Answer: 8311*x**2 - 6*x - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -h - 7, 46*h - 5 = 2*k + 47*h. Sort 58, 18, k in increasing order.\nAnswer: k, 18, 58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8054*d**3 + 41*d**2 - 8020*d**3 + 16116*d**3 to l*d + x + f*d**3 + u*d**2 and give f.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 3*c + 142*c + 2 - 13 as a + q*c and give q.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 67 = 331. Let u = 22 + a. Suppose 0 = -3*k - 0 + 75. Solve u = -4*v - v - k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r. Let o(t) = -2*t. Let d = 4 - 7. Let b(g) = d*c(g) + 3*o(g). Let k(s) = -2*s**2. What is k(b(i))?\nAnswer: -162*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3239, 6460, 9715, 13004?\n\"Answer: 17*d**2 + 3170*d + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80025940.\nAnswer: 2, 5, 1949, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2076 = 2*h, -24*h + 19*h = -4*p + 2058. Is p a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-2)\/(-20)*(-1298)\/59.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsskrree. What is prob of picking 1 r and 1 q?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4037360*i**2 + 2016692*i**2 + 2020676*i**2.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 175*o**2 - 3. Let q(a) = 41474*a**2 - 712. Let j(r) = -3*q(r) + 712*y(r). Let h(m) = -6*m. Determine h(j(l)).\nAnswer: -1068*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 22\/20563377?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -48*q**5\/7 + 39540*q**4\/7 + 654294*q**3\/7 + 108708*q**2 + 70650*q\/7 - 10800 = 0.\nAnswer: -15, -1, -1\/2, 1\/4, 840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 + -24. Suppose -5*z = -z + o. Let v(h) = -h**2 + 0 - 7*h - 3 + 9 + 4. What is v(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2355399, -4710773, -7066147, -9421521, -11776895, -14132269?\nAnswer: -16487643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3168199 (b) -2\/17 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119 + (20 - 36) + 29.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f + 123. Let h(z) be the first derivative of 2*z**3 + 283. Calculate m(h(n)).\nAnswer: 12*n**2 + 123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 24000 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -1047*r + 1045*r, 0 = -r + 2*d + 2*d for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.3, 11137, 1\/3, -1281?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 0*d + 3*u - 18, 0 = -5*u + 20 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljlmjymglpj. What is prob of picking 1 y, 1 p, and 1 g?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 1541250504?\nAnswer: 1541250511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = v + 1, -5*v - 1 = 2*f + 4. Suppose -4*z + 306 - 90 = f. Let n = z - 34. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-22)\/((-12)\/(7 - 1)). What is the highest common divisor of 44 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*x**5\/9 - 10*x**4\/9 + 4*x**3\/3 + 16*x**2\/9 - 4*x\/9 - 2\/3 = 0. Calculate x.\nAnswer: -1, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*z + 111618 = 19*z. What is the greatest common divisor of 106 and z?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 7*z + 168 - 149 = 0, 2*x = 2*z + 6 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4269*q - 6. Let n be i(-6). Let a = n + 294392. What is a rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 6*n**2 + 9*n - 6. What is f(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(0*d**2 + 1418*d**3 + 0*d**2 - 2516*d**3 + 299*d + 1084*d**3).\nAnswer: 28*d**3 - 598*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 16 = 4*h - 0*h, -3*k - 27 = 5*h. Let d be (152\/32 - (-1)\/4)\/(-1). Let x = 10 + -9. Sort d, x, k in ascending order.\nAnswer: d, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 divided by -10\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1006, -2219, -3682, -5401, -7382, -9631, -12154, -14957?\nAnswer: -18046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 44662, 48012, 51362, 54712, 58062?\n\"Answer: 3350*p + 41312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1403\/16 - -88. Let w = z - 83\/112. Suppose 2*g - 1 = -3. Is w > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u + 9*u + 10*u - 18*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7818515, 7818509, 7818503, 7818497, 7818491?\n\"Answer: -6*p + 7818521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 235.8 rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 9 = 6*s + 4*u, -4*s - 2*u - 2 = 0. Let g(p) = -9*p**3 + 1. Give g(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - q + 11 + 0 = 0, q + 3 = 0. Let r be (-364)\/49*-4 - 2\/o. Calculate the greatest common divisor of r and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 70354, 0.04, -3\/2, -2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60764113?\nAnswer: 61, 311, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1259949 and 283971?\nAnswer: 2757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -422 + 574 = 2*n. Is 38 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 2:25 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 203942059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from utbbtttutbbttbt?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 25 = -5*n, -4*w + w = -n + 5. Suppose 4*k - 71 = 5*a - w*k, 2*a = 2*k - 28. Let u = -8 - a. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Let x(l) be the second derivative of 0*l**d + 0 + 1\/12*l**4 + l + 0*l**3. Let a(c) = -c. What is x(a(j))?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256120 is divided by 31994?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - 6*i + 5*i + 2*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3749 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: Let p = 2.5 + -3. Let r be -28 + 29 - (0 + 0). What is the nearest to r in -1\/3, -4, p?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*b = 920, 4*b = -1 - 19. Let c be 882\/r + (-4)\/(-26). Suppose 4*w - 21 = -m, 27 = c*w - 5*m - 18. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 + 6289*s + 1752*s - 8009*s.\nAnswer: 2*s**3 + 32*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 3:09 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -83902 divided by 3227?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/4793184 and -59\/16544.\nAnswer: 225279648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**7*f\/(f**(2\/45)*f)*f)\/(f**11*f**16))**(-7\/6) assuming f is positive.\nAnswer: f**(2842\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m**2 - 270*m + 51. Calculate s(-54).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-65)\/(-5))\/(52\/3536). What is the greatest common factor of c and 204?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/39, -2\/3, 5, -18.6, 190?\nAnswer: -18.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77900 = 10775*k - 9217*k for k.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 12 + 3 = 0. Suppose -3*s = h - 4, -2*s + 12 = o*h - 0*h. Let i(c) = -c**3 + 6*c**2 - 2. Let l be i(6). Put l, 5, h in increasing order.\nAnswer: l, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*d - d = 26, -5*d - 12 = -f. Let c = -11 + f. Let r be (-1*1)\/(c\/8). Solve -5*m + 8 = -3*s, r*m + 3*s + 4 = 6*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*m + 3*l + 12, m - 5*l - 10 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/49077 and -58\/2793.\nAnswer: 343539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7\/396 + -1013\/9900. Put 1, o, 3, -0.2 in descending order.\nAnswer: 3, 1, o, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82236714 and 4228.\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -117 (c) -10 (d) 0.05 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 4*z**2 - z - 8. Let v be o(-5). Let i(k) be the third derivative of 0 + v*k**2 - 1\/30*k**5 + 5\/24*k**4 + 0*k - 1\/3*k**3. Factor i(l).\nAnswer: -(l - 2)*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*s + 5*c, 6*c = -27 + 57. Solve s*a - 4 = 2*y, y = -2*a - 3*a - 9 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.833569ml to litres.\nAnswer: 0.004833569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 564191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.47 + 11.47. Is -2.57 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8564481 is divided by 10419.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 - 17. Let l(g) = -g. Let j(u) = u**3 + 6*u**2 - 4*u. Let z(w) = -j(w) + 6*l(w). Let m be z(-6). Calculate the highest common divisor of m and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 24945616196 and -10.2.\nAnswer: 24945616185.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 44*z**2 - 121*z + 1337. What is q(46)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2214 and 383202?\nAnswer: 47133846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -5, 24.\nAnswer: -5, -1, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350748250.\nAnswer: 2, 5, 17, 82529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 27591, 27523, 27465, 27423, 27403, 27411, 27453?\n\"Answer: y**3 - y**2 - 72*y + 27663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 31 = -6. Suppose -6 = -k*j - 0*j - 4*b, 4*b - 4 = -4*j. What is the third derivative of 5*t**j + 5*t**4 + 7*t**2 - 2*t**2 - 7*t**2 wrt t?\nAnswer: 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from taotwnwa. What is prob of picking 1 n, 2 w, and 1 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -118400 rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k = 8*k - 2, 2*s = -4*k + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 293*c**3 - 2*c**2 - 292*c**3 + 3*c**4 + 4*c + 0*c**4 + 0 in the form x*c**2 + p*c**4 + z*c + o*c**3 + i and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -404215 (base 6) to base 4.\nAnswer: -13310303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 10725.\nAnswer: 85800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 47, 155, 271, 401, 551, 727, 935?\n\"Answer: a**3 - 2*a**2 + 107*a - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 36*b**2 - 3*b + 1. Suppose 4*z = 4 + 4. Is 10 a factor of o(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360 = 2436*y - 2418*y for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (696\/(-3024) + 4\/14)*3.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.71 + 9.705. Let q = -6 + o. Round q to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -10*j + 3. What is the tens digit of q(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -48887756229\nAnswer: -48887756231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3885?\nAnswer: 3, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3\/(r**4*r))\/(r**(-2\/3)\/r*r\/(r\/r**(2\/35))) assuming r is positive.\nAnswer: r**(-41\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339309870.\nAnswer: 2, 3, 5, 11310329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0044677 to 4 decimal places.\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.133852771 take away 0.04411?\nAnswer: -0.177962771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 bigger than 47776\/313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 217 and 1?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.119, 4\/9, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/(-1 - -16 - 109592\/7296).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -216 - -218. Suppose o*n = -3*a + 2, 29 = 4*a - n + 8. Let b be (2 + -4)*(-2)\/4. Put b, 11, a in increasing order.\nAnswer: b, a, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1845*w - 379*w - 133*w + 209773 = 0 for w.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/4)\/((-3)\/((-54)\/(-4))*35010\/(-46680))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.8 + -1.2. Let o = -3 - m. Let k = -5.7 + o. What is the nearest to 1\/3 in -1\/7, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 3*y**2 - 2*y**2)*(44*y - 1387284 + 4*y**2 + 1387289 - 4*y).\nAnswer: -12*y**4 - 120*y**3 - 15*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -m**4*s + 12*m*s - 7*m + 19*s wrt m?\nAnswer: -4*m**3*s + 12*s - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 2*c - 4*c + 80, 4*c + 2 = -o. Calculate the least common multiple of 8 and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*i**4 - 3*i**3 - 13*i**2 - 1?\nAnswer: -528*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 3:04 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -153? (a) -4 (b) 0.1983 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26*(284\/(-40) + 7))\/((-1)\/(-5)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2907*(-17)\/(-918) + 53.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - (-7 + (0 + 7)\/1). Which is the second biggest value? (a) -82 (b) r (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 7 = -24*h + 25*h, 3*h - 12 = -2*q. Solve -4*d = -5*y + 10, -8*d + q*d = y - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + -2 + 0)\/(4 - 3). Suppose 2*b + 5*w - 179 = o, 3*w - 36 = 2*b - 223. What is the remainder when b is divided by 28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000019578 rounded to seven decimal places?\nAnswer: -0.0000196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -b + 7 - b - b**4 - 6 in the form p + f*b + j*b**2 + r*b**4 + u*b**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 5\/(4 - -1). Suppose s*l = 0, l + 10 = 2*i - 0*l. Solve i*w = -2*o - 7, 4*w + o - 3*o = -2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -766 - -766.14. Put o, 1\/5, -1\/5, -3 in descending order.\nAnswer: 1\/5, o, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6510*i**2*j**2 - 3*i**2*j + 45*i**2 + 6218*i*j**2 + 2*i + 2*j**2 + 3*j - 2 wrt i.\nAnswer: 13020*j**2 - 6*j + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + sqrt(891) + -1)**2 - sqrt(44)\/(sqrt(4)*-1)) + ((sqrt(1100) + -3)*-4)**2.\nAnswer: -995*sqrt(11) + 21309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - ab185?\nAnswer: -ab183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11253, 45673, 103029, 183315, 286525, 412653, 561693?\n\"Answer: -y**3 + 11474*y**2 + 5*y - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-3))\/((-4)\/(-6)). Suppose -p*m = -8*m + 20. Let -8*j**3 - 13*j**3 - m*j + 20*j**2 - 4*j**3 = 0. What is j?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1627400 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -4. Suppose 3*z = -z - 56. What is the units digit of (z\/4)\/(k\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 58*y**3 + y**2 + 13*y + 9. Is l(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 994427.\nAnswer: -1988854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/(-159) - (-5)\/(-15) and 20\/27?\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004483 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 282*w + 51893. Calculate h(-184).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*u**3 - 5 + 2 - 9*u**3.\nAnswer: 16*u**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 2 - 4. Let h = -289 + 286. Sort h, 2, i in descending order.\nAnswer: i, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*c + 19*c - 6, -5*c = 2*m - 38028. Round m to the nearest one hundred.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/741*(-3)\/(30\/10)?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -4*l**2 - 10088*l + 20192 = 0?\nAnswer: -2524, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - (-17)\/2)*4. Suppose -o + 8 = 3. Solve -4*s + 2*b + z = 0, 15 = 5*s - o*b - 30 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o**2 - 12*o - 92. What is the hundreds digit of f(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6751 + 1669*r + 3*r**3 - 1669*r - 6*r**2.\nAnswer: 3*r**3 - 6*r**2 - 6751","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d*n**4*r + 3*d*n**2*r - 5*d*n**2 - d*n*r - 2*d*n + 7*n + r wrt n?\nAnswer: 24*d*n**2*r + 6*d*r - 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 1690.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1088, 4238, 9530, 16994, 26660, 38558, 52718, 69170?\nAnswer: 87944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 20 = 3*u, -2 = -2*u + d - 27. Let c be (6\/(-9))\/(u\/(-15)). Let n be 30 + c + 1\/(-1). What is n rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -5. Solve -40 = -5*m + j*p, 2*p + 12 = 4*m + 3*p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**4\/6 - g**2 - 3. Let s(k) = 5*k. Let h(u) = -4*u. Let l(m) = 3*h(m) + 2*s(m). Give l(v(i)).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - z**2 - z + 1. Let l(d) = d**4 + 6*d**3 - d**2 - 3*d + 3. Let j(r) = l(r) - 3*y(r). Let j(w) = 0. Calculate w.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -258\/23?\nAnswer: -258\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 57963109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 790\/(-4)*24\/(-15). Suppose 5*g - 2*b = b + 394, 0 = -4*g + 2*b + r. Calculate the highest common divisor of 32 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (-4 - 1044\/(-210)). Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*g - 2*h, 7*g + 4*h - 43 = 2*g. Suppose -g = -3*w - 2. Let p = w + 17. 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(y) = 93*y**2 + 5*y. Let j(v) be the third derivative of -v**4\/24 + 37*v**2 - 11. Determine j(q(b)).\nAnswer: -93*b**2 - 5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -5144, 268 in ascending order.\nAnswer: -5144, -21, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -6 - (16\/10)\/(-139 + (-163619)\/(-1179)).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -13 + -8 - (-32 + -17)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -1 + -11)\/(-1 + 2). Let y be 3\/(-3*(-4)\/s). Let z(a) = -4033332*a**2 + 5*a + 3. Let x be z(y). Round x to the nearest one million.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-3)\/18)\/(22\/(-6))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20704011 a multiple of 313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(3\/5))*f)**(33\/7) assuming f is positive.\nAnswer: f**(264\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5334301, -5 in descending order.\nAnswer: -3, -5, -5334301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -216 + 216.4. Suppose -5*r + 6*r + 13 = 0. Let o = r + 40\/3. Which is smaller: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55.5 times 23336\nAnswer: -1295148","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -720 = -3*s - 2*s. Let o be (-2)\/7 - s\/(-441). Is 1 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5017 - -5029. What is the greatest common divisor of 956 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + (4*(4 + sqrt(325))**2 - sqrt(325)))*-6*2.\nAnswer: -16384 - 1860*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*t + t = -35, -3*s = -3*t - 30. Suppose -s*p = -3*p - 6. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 82222186 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.373 - -0.627. What is the nearest to 27 in -0.1, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -303 + 0.11863847.\nAnswer: -302.88136153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**6\/72 + r**5\/120 + r**4\/24 - r**3\/3 + 4. Let o(m) be the third derivative of v(m). What is o(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -39 - 27*g - 34 - 8. What is the units digit of l(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m**2 - m - 9. What is c(3)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2\/(r*r\/r**(-5\/6)))\/((r\/(r**0*r))\/r*r*r)**(-13))**(-22) assuming r is positive.\nAnswer: r**(-803\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2 - 2 + 5 + 42*i - 4 - 57*i + (-i + 4*i - 2*i)*(2 + 6 - 4))*(3 + 6 - 5).\nAnswer: -48*i + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -44, -92, -144, -200?\n\"Answer: -2*l**2 - 42*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 m, and 1 n when four letters picked without replacement from mmmpbptmtmngt.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.1 and 0.118.\nAnswer: -0.2478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115.8585l to millilitres.\nAnswer: 115858.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 95*b**2 - 1. Let l = -380 + 381. What is the remainder when g(l) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138070 is divided by 88?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 22\/8)*-4. Let d = n - -32. What is the remainder when d is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 12:10 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + c - 1. Let w(f) = -f - 4. Let z be w(-5). Let p be t(z). Calculate the least common multiple of 0 + 3\/3 - p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 3*m**2 + 6*m - 3. Let q be b(4). Suppose -25 = -5*z, 0 = -q*d - z + 24 + 1. Solve -d*i - 30 = -5*g, 0 = -4*i + g + 8 - 30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 7. Suppose -2*h = i*j + 4 - 0, -j - 4*h = 8. Let r = -6 - -14. Solve 2*k = -j*k - r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -441 - -1855. List the prime factors of v.\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*j - 348*j = -66 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -4, 2.65?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, h: 10}. Give prob of sequence yyh.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -189 by -3.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 604*b**3*p + 2*b**3 - 3*b*p - 12*p wrt b?\nAnswer: 3624*b*p + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9490 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 549680 and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1*597)\/((-351)\/11349) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 64 - 16. What is the remainder when k\/2*(-2)\/4 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1549 - 1397. Let z be 151 + (2 - 6\/3). Which is smaller: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -49*v**2. Let n(g) = 25*g**2. Determine n(z(b)).\nAnswer: 60025*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11672921*d**4 - 267*d**2 + 294*d - 1 wrt d?\nAnswer: -280150104*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*n. Factor 0*x**2 + 2\/7*x**5 + 0 + 0*x - 2\/7*x**3 + n*x**4.\nAnswer: 2*x**3*(x - 1)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452*y = -330*y + 528*y - 5850 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1108 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 10*z**2 + 10*z - 4. Let t be k(9). Let r = -289 + 288.5. Which is the second smallest value? (a) 8 (b) t (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/12)\/(-2 - 3395\/(-1695)). Let l = -451 + g. Solve 2*v - 4 = 0, 5*m + l = -4*v + 14 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 1. Let g(m) = 12*m**2 + 2*m - 4. Give g(r) + 4*u(r).\nAnswer: 12*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -7*b + 1. Let g(c) = -c**2 + 26*c - 120. Let l be g(6). Let y be q(l). Let w be 3 + ((-2415)\/(-114))\/(-7). Is w less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 404, 183, -692, -2221, -4404, -7241, -10732?\nAnswer: -14877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 63, 4, 1, 0 in ascending order.\nAnswer: 0, 1, 4, 18, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -6*p**2 + 2*p + 4*p + 2 + 80*p**3 - 3*p - 2*p**2. Is y(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 5*i + h, 5*i + 4 = h - 34. Let t = 0 - i. Suppose -2*j + t = -1. Put -3, 0, j in increasing order.\nAnswer: -3, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 35 = -m. Let j = 56 - m. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 2*l**2 - 3. Let o be g(3). Suppose -4*z - i + 2 = -3, -o = 2*i. Find the third derivative of 6*a**3 - 4*a**3 + 0*a**3 + a**z wrt a.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 26*p**2 - 21*p + 4. Let t(f) = 78*f**2 - 61*f + 11. Calculate -8*q(h) + 3*t(h).\nAnswer: 26*h**2 - 15*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18965 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*t**5 - 26*t - 137*t - 136*t**5 wrt t?\nAnswer: -3320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125252974 and 1122.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3082843773?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**4 + 3*b**4 - 6*b**4 + 6 + 24*b**4 + 14*b**3 - 14*b**3 + (1 + 3*b**3 - 1)*(b - 1 + 1).\nAnswer: 20*b**4 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34.8 - 2.2. Let p = x + 37.05. Let h = -4 + 3. Which is bigger: p or h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 (base 7) in base 10?\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6)*1)\/(34\/(-17))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2984 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 1:44 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/4)\/((-4)\/(-16)). List the prime factors of (86\/10 - 9)\/(o\/(-830)).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + 0. Suppose -a - 33 = -2*p + 4*a, p = 2*a + 14. What is the second biggest value in p, h, 2\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -11, -1\/2, 2\/3, -4 in decreasing order.\nAnswer: 3, 2\/3, -1\/2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011110011101001 (base 2) to base 8.\nAnswer: -236351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/2 (b) 3\/5 (c) -126\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -106371754 - 7?\nAnswer: -106371762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125, 1052, 2781, 5312?\nAnswer: 8645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4150.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5))**(2\/7)*h**(-5)\/h**(-1\/4) assuming h is positive.\nAnswer: h**(-173\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5279\/6167 - -1\/881. What is the third biggest value in n, 2\/9, -7\/4, -5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 12, c: 7}. Give prob of picking 2 c.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11326*n**2 + 645*n - 245142799 with respect to n.\nAnswer: -22652*n + 645","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 5:07 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -33, -91, -193, -345, -553, -823?\n\"Answer: -m**3 - 16*m**2 - 3*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.64373 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -13*j - 273. Let m(a) = 25*a + 568. Give -4*m(x) - 9*r(x).\nAnswer: 17*x + 185","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + sqrt(363))*-4 - ((1 + sqrt(363) - sqrt(363)) + 5 - (sqrt(363) + ((sqrt(363) - 2*sqrt(363)) + sqrt(363) - sqrt(363))*-6)))**2.\nAnswer: 1188*sqrt(3) + 29439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -46 - -5422737?\nAnswer: 5422691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 658 and 26.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 6857749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, e: 9, q: 1, r: 1, d: 3}. Give prob of sequence ee.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 242152 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -100.89274\nAnswer: 201.78548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9452, 18908, 28364, 37814, 47252?\nAnswer: 56672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 8 + (3 - (-2 + 6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 21*j**2. Let q(a) = 3*a**2 + 15101*a + 8. What is q(w(o))?\nAnswer: 1323*o**4 + 317121*o**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/927 in 1, -4, -2, -0.3, -13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one quarter of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 117040 + -70517. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -11\/6 (b) 8\/1521 (c) 0.3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.34805 millennia to centuries.\nAnswer: 83.4805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6b6 (base 13) to base 6\nAnswer: -5215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6428 is divided by 211.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5913?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**2 + 7*z - 13. Let c(w) = 3*w**2 + 7*w - 12. Let p(v) = -6*c(v) + 5*o(v). Let x(m) = -m**2 + 3*m - 3. What is -3*p(b) - 7*x(b)?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254048702?\nAnswer: 2, 4253, 29867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000470871 to six dps.\nAnswer: 0.000471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 9*y**2 - 7*y - 4. Let a be v(8). Let b(j) = j**2 - 3*j. Let z be b(0). Let k be 1 + 5\/(-5) + z. Solve k = f + f + a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2*2*-7. Let u = w + -5. Which is the third biggest value? (a) -4 (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(66) + -3*sqrt(66) + sqrt(66) + sqrt(66)))\/(sqrt(60)\/(-4*sqrt(10))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyi when three letters picked without replacement from {q: 3, i: 1, y: 3, d: 4}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 4:50 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1629310 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -53*c**3 + 760 - 760 + (2*c**2 - 3*c**2 + 3*c**2)*(c + 5*c - 4*c).\nAnswer: -49*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 199, 0.02, 21\/11?\nAnswer: 21\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -189.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 10:42 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -113.76 - -117. Let x = -0.24 + d. What is the third biggest value in -0.01, 0.4, x?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*r**4 + 13*r**2 - 6*r - 53*r**2 - 62*r**3 - 2*r + 16*r**3 = 0. Calculate r.\nAnswer: -2, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 30*d**3 - d**2 + 3*d - 3. Let o be u(1). Let k = -921 + 916. Sort 4, k, o in increasing order.\nAnswer: k, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1077 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 9:31 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/30*147\/(-2). Let h = u + 28. Let n = h + 18. Let y(q) = -q + 2. What is y(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/(-2) - 4)*2\/8. Factor 48*n**3 + 31*n**4 - 35*n**4 - 19*n**2 - 125*n**v.\nAnswer: -4*n**2*(n - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1516\/9 - 168. Let 10\/9*y - s + 14\/9*y**2 = 0. Calculate y.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161162063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 169*k + 68*k - 2877180. List the prime factors of k.\nAnswer: 2, 5, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (261 - 4309 - 1275)*(-3*j**3 + 5*j**3 - j**3).\nAnswer: -5323*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**2 - 4*k - 3*k + 5*k - 4*k wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 4, -93059.\nAnswer: -93059, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -139 (base 14) to base 12.\nAnswer: -187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 5*w + w)*(-197*w**3 - 204*w**3 - w + 373*w**3).\nAnswer: 56*w**4 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/((-17)\/782*-23*-1)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 19*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*g**3*r**4 + 97*g**3 + 126*g*r**4 wrt r?\nAnswer: -12*g**3*r**3 + 504*g*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t - 45. Calculate v(12).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 - 68. What is the common denominator of (m\/75 - -1)*(-10)\/(-8) and (0 - (-1)\/2)*-53?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*d + 75 = 0. Let k = d + -12. Suppose -6*c + 3*c - 5*j = -34, -c + k*j + 2 = 0. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/346608 and 101\/33698.\nAnswer: 2426256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1305315945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -43, -71, -97, -121?\n\"Answer: w**2 - 31*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -592*z - 158004. Determine c(-267).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1308557285 to the nearest integer?\nAnswer: 36174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*y**5 - 8*y**4 + 36*y**5 - 10*y**5 + (5*y**3 - 3*y**3 + 0*y**3)*(-3*y**2 + 2*y**2 + 3*y**2).\nAnswer: 55*y**5 - 8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**3 - 20*i**2 + 3*i + 9. Let a be g(5). Suppose -1563 + 2107 = 8*p. What is the highest common divisor of a and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -157, -235?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -5*c + 3*c. Let s = c - 44. Suppose 3*v + 13 = s. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75 and 105.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7133\/139854 + 1\/3586. Let h be (-1)\/(-2) + 102\/(-208). Let l = h - z. Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 7:21 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1171 divide 15154963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0, 5, -11 in increasing order.\nAnswer: -11, 0, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46 and 155?\nAnswer: 7130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2056 smaller than 73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7018457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9306 - 66389 = -13*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, h: 2, w: 2}. Give prob of picking 2 w.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -i + 1, -3*i + 8 = -n. Let v be 30\/7 + 2\/(-7). Let o = v - n. Solve h + 3*h + o*m = -4, -2*h - 5*m = 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 50*y**4\/13 - 1554*y**3\/13 - 3176*y**2\/13 + 264*y\/13 = 0.\nAnswer: -2, 0, 2\/25, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005 divided by 1005?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dvd when three letters picked without replacement from vvddvvvvvdvvvv.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30485780, 60971536, 91457254, 121942916, 152428504, 182914000?\nAnswer: 213399386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1982*t**3\/17 + 17836*t**2\/17 - 2566*t + 44\/17 = 0.\nAnswer: -11, 1\/991, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*w - 7 = -6*w, 3*a + 2*w - 4 = 0. Put -2, a, 4, 1\/3 in descending order.\nAnswer: 4, a, 1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*f + 45. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 11)\/(((-3)\/5)\/(58\/(-290)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (814\/(-55))\/(11*(-36)\/990)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 426 + 263 = a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 1654*m**3 - 296*m**2 + 537*m**4 + 1228*m**2 + 14*m**4 + 832*m + 1144*m**2 - 143*m**4 - 2*m**5 = 0.\nAnswer: -2, -1, 0, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -12*a + 17*a. Sort a, -7, -1 in ascending order.\nAnswer: a, -7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((1815\/390)\/121)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/7 - 801352*r\/7 - 1602696\/7.\nAnswer: -2*(r + 2)*(r + 400674)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 + 3*b**3 + 60*b**2.\nAnswer: -3*b**2*(b - 5)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9056068, 9056067, 9056068, 9056071, 9056076?\n\"Answer: b**2 - 4*b + 9056071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 8, -12063 in descending order.\nAnswer: 18, 8, -12063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50.7 - 54. Let f = -21.3 - k. Let q = -18 - f. Sort 4, 0.2, q in increasing order.\nAnswer: q, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r + 15. Let n(l) = 3*l - 14. Let a(s) = 6*i(s) + 5*n(s). Let h be a(-8). What is the remainder when h + 40 + 7 + 1 + -1 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/234 and -45\/2.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*h + 6 = -8, -2*p + 3*h = -2. What is the biggest value in -2\/3, p, 0, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000032466 rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-22)*912945\/(-45270).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + j**2 - 2. Let l(t) = 37*t**3 + 2*t**2 + 6*t + 16. Let s(a) = -l(a) - 3*v(a). What is the second derivative of s(m) wrt m?\nAnswer: -240*m - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 70529000 to the nearest one million.\nAnswer: 71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3659822507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -1\/5*x**5 + 0*x**4 + 0*x**2 + 4 + x**3 + 0*x. What is the third derivative of b(s) wrt s?\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + o**3 + 11320 + 2*o - 11320.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5365 and 1450?\nAnswer: 53650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/80 of a hour?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 777*y - 4. Let l(j) = -9*j**2 - 6994*j - 38. Let i(o) = 19*g(o) - 2*l(o). Factor i(a).\nAnswer: -a*(a + 775)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 21*v + 20. What is the tens digit of t(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, i: 1, t: 2, j: 5}. What is prob of sequence nnn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 divided by 3.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -0.118697152.\nAnswer: -0.237394304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -841 + 974. Calculate the smallest common multiple of q and 35.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/x**(1\/2))**(-2\/19)*x**(-5)*x**(-10) assuming x is positive.\nAnswer: x**(-290\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 12*u - 11. Let d = -1 - -9. Let z be o(d). Calculate the greatest common divisor of z and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 6*a + 5. Let v(d) = d**3 + 3*d**2 + 3*d + 2. Let z be v(-2). Suppose 5*n + 25 = y, -y - 2*y - 4*n - 1 = z. What is the units digit of m(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 13*s**3 - 23*s**2 + 4*s + 67. Let o(i) = -6*i**3 + 11*i**2 - 2*i - 33. Let q(j) = 4*b(j) + 9*o(j). Find the second derivative of q(v) wrt v.\nAnswer: -12*v + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300.9153 millimeters to meters.\nAnswer: 0.3009153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 64*g + 3 - 2 - 1.\nAnswer: 64*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 1368 and 378766\/277 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-970)\/(-90))\/((-273)\/546 + 33\/54)\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -211 (base 15) to base 4\nAnswer: -13102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*c + 295 + 1670 = 0 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r**3 - 5*r**2 + 7*r - 2. Let g be d(2). Let k = g - -59. Solve -3*w + s = 2*w - k, 4*w - s = 15 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1310228020, 2620456039, 3930684058?\nAnswer: 5240912077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*l + 1451 - 1451 as d*l + f and give d.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61.5 + -49. Let i = g + -5. Round i to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-8)*d*d\/(d*(d**(-8)\/d)\/d)*(d**4\/d*d)\/d*d\/(d**(1\/12)\/d)*d assuming d is positive.\nAnswer: d**(107\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 10 = 6. Suppose -5*r = 5*q - 5, a*r - 4*r - q - 19 = 0. Let w = -2.4 - -2. Sort w, r, 0.1 in increasing order.\nAnswer: w, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l, 5*z = 4*l + 27 + 123. Let v be (-5)\/2*36\/(-30). Let u be ((-3)\/(-2))\/(v\/z). What is the greatest common factor of u and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*k + 12*k + 258 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2.2, 4\/3, 29, 0.1, -2\/9, 0.557?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121 - 230323211?\nAnswer: -230323030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61.5 - -166.4. Round n to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 509 + 2*y**2 - 509 + y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cchhjljw. What is prob of sequence lwc?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 + 10990*r**2 + 10995*r.\nAnswer: -5*r*(r - 2199)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.3 (b) 0 (c) 68 (d) 0.2 (e) 0.55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 751*i + 198207. Calculate k(-264).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 103.632 - 0.132. Let u = 104 - q. Let t be 4\/(-18) - (-102)\/(-27). Sort u, t, -2\/3 in increasing order.\nAnswer: t, -2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f**3*q - f**2*q*s + 6*f**2*s + 41*q*s + q wrt f.\nAnswer: 3*f**2*q - 2*f*q*s + 12*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*u = 33*u - q + 1028, -3*q = 3*u - 1554. Are u and 531 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31256 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 678 is divided by 138?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -661*g + 1283*g - 622*g - 6*g**3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (3\/(-9))\/1 - 20\/(-6) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1158 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10935577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3343856 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 24065047?\nAnswer: 24065053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - g - 4. Let d be f(-5). Let r = d + 45. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*b + 47 = -0*b + 96 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/1722910 and 13\/604.\nAnswer: 3445820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1189*i**2 - 32498*i.\nAnswer: 2378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -9 - 4*q**3 - 2*q**3 + 5*q**3 + 6*q + 7*q**2. Is a(6) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 101 = -4*o, -2*o - 3*o + 20 = 0. Let m(l) = 56*l - 981. Calculate the remainder when m(19) is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.9787 or -1024?\nAnswer: -0.9787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, v: 15}. What is prob of picking 2 y?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5776, 3243, 18276, 39323, 66384?\nAnswer: 99459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + sqrt(133) + (sqrt(133)*4*6 + sqrt(133) - sqrt(133)) + sqrt(133))\/((sqrt(42)\/sqrt(3) + sqrt(14))\/sqrt(2)).\nAnswer: 27*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 0.2, 5\/2, 417, 14, 4\/9 in decreasing order.\nAnswer: 417, 14, 5\/2, 4\/9, 0.2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1238, -4, 2, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, d: 12, z: 1, j: 2, w: 2}. What is prob of sequence dj?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011 (base 2) in base 9?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhh when three letters picked without replacement from {h: 10, f: 9}?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of h**4\/4 - 2*h**3\/3 + h**2\/2 - 17. Suppose j(g) = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 5)\/(15 - (-5268)\/(-352)). What is the greatest common divisor of 66 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 667.40878 to one dp.\nAnswer: 667.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k - 10. Let x be 1\/2 + 861\/(-82). Let u be c(x). Solve 0*q + 12 = 5*a + 2*q, a + q = u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57450 divided by -11490?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151144 is divided by 8890.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2200*g**3 + 1069*g?\nAnswer: -13200*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2 - 10 = 0. Suppose -3*h - 5*x = -123, 2*h + l*x - 3*x = 82. Is h a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kp when two letters picked without replacement from {j: 2, p: 1, k: 7}.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 9. Let w(q) = -20946*q + 20946*q - q**2 - q**3. What is j(h) - 2*w(h)?\nAnswer: 2*h**3 + 2*h**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166395, -1331099, -4492437, -10648725, -20798279?\nAnswer: -35939415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 9*z**2 - 6*z - 6. Let s be r(6). Suppose s = -u + 3*u. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, e: 3, o: 1, f: 2, d: 1}. Give prob of picking 3 r and 1 e.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 3*k - 6. Let b(d) = 3333*d**2 + 2*d. Let o be b(k). Round o to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -235 + 233. What is the nearest to h in -0.3, -1, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 12*n**4 - 1227*n**3 + 41922*n**2 - 482052*n + 117912 = 0.\nAnswer: 1\/4, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -250, -573, -1036, -1639, -2382, -3265?\nAnswer: -4288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + 4*w**2 + 12*w**2 + 2*w**2 - 31*w + 86*w.\nAnswer: 16*w**2 + 55*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3169404 to the power of 1\/2, to the nearest integer?\nAnswer: 1780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113434 by 56717.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7104 by -2.\nAnswer: 3552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 23\/2. Let s be (-1)\/2*1*2. Which is smaller: m or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268525358?\nAnswer: 2, 4093, 32803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1635 + 795. What is the common denominator of s\/189 + 2\/(-9) and -23\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -194, -218, -250, -284, -314, -334, -338, -320?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 2b2eed2?\nAnswer: 2b2eed3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -9, -3\/7, -6487 in increasing order.\nAnswer: -6487, -9, -4, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73820443 is divided by 359.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193 + 517 = -27*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.025317471 and -0.5.\nAnswer: 0.0126587355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*x + 21*x - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156 + -161 + -7 + 47.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2 + 13*i + 3. Let p(r) = -6*r**2 + 39*r + 8. Calculate 8*m(g) - 3*p(g).\nAnswer: 2*g**2 - 13*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-54)*(-5052)\/5894.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 r when four letters picked without replacement from ollrcoorol.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s - 13. Let i be 4*(75\/6)\/5. Let c be l(i). What is the units digit of -2*c\/8*16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 12 + 44 = -4*v, -5*d = 3*v + 42. Let p be (-7)\/v*413333*-2. Let x be 1 - p*(-3)\/(-1). What is x rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 777 is divided by -3 + 8 + -2 + 3*38\/3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/234 + 4\/(-26) + (-544)\/192.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2300 (base 7) in base 14?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -25 - (83 - 67).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {e: 4, a: 5, k: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**5\/8 - 203*c**4\/4 - 50035*c**3\/8 - 890633*c**2\/4 - 4445461*c\/2 - 3604055 = 0.\nAnswer: -178, -35, -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u + 117. Let i be y(-26). Let m = i + -71. Calculate the remainder when m is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42*b**3\/13 + 17924630*b**2\/13 - 131316*b.\nAnswer: 2*b*(b + 426777)*(21*b - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 548 divide 1667248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7568169.\nAnswer: 3, 7, 199, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6 - 311 - 33 + 194*c - 643*c - 19 wrt c.\nAnswer: -449","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + -2 + 90 + -48?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-2) - -82)*-1. Let n be 6\/(-16)*828\/x. Let p = -77\/18 + n. What is the third biggest value in -4, p, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(3\/8)\/(81\/1296).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 558*a + 1113. Give g(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q + 2. Let h be t(8). Let n be (0 + 26)*(-6)\/h. Let w be (-6)\/39 - (-82)\/n. Solve w*d + 35 = 5*i, d = -3*i + i + 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2 + 39611*i - 6 + 14854*i + 1. Let w be m(-3). Let o = w - -73398. Round o to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33234825 and 5745.\nAnswer: 33234825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 4\/(-28)*-7*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 - 414*o**2 - 28416*o - 647168.\nAnswer: -2*(o + 64)**2*(o + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 9:09 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 4*g + 24 = 2, 9*d - 30 - 9 = 5*g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 98878*a*v - 510078*a wrt v?\nAnswer: 98878*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 58566 - 5701. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310 is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2323 + 16*w + 2320 + 2319 - 13*w - 18*w - 6965.\nAnswer: -15*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**4*k - 400911*f**3*k - 3*f**3 + 24*f**2 - 10126*k wrt f?\nAnswer: 24*f*k - 2405466*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y**4\/y)\/y)\/(y\/y**(-1\/12)))\/(y**(2\/11)\/(y*(y**(3\/2)*y)\/y*y))*(y**1\/(y\/((y*y\/(y*y*y**(-2\/7)\/y))\/y)))\/(y**(-7)*y**(-7)*y) assuming y is positive.\nAnswer: y**(17113\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -71 - 15 - 90*o + 10 - 87. What is the hundreds digit of j(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -4*g - 324, -2*r + 0*g + 4*g = -168. Calculate the greatest common factor of r and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**3 + 0*t**3 + t**3 + (0*t - t**2 + 0*t)*(t + 2 - 2) - 2 + 9*t**3 + 1 - 4*t**3 in the form q*t**3 + f*t + b + y*t**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 2 = 26. Suppose -4*d - 2*l = -2790, m*d = -5*l + l + 2796. List the prime factors of d.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143 and 4004?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/42 (b) 0.6 (c) -1\/2 (d) -2.6 (e) 0.55 (f) -0.01\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3329798508.\nAnswer: 2, 3, 92494403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 5*t - 4. Let l be b(6). Suppose l*m - 18 = -4*z + z, -3*m - 11 = -5*z. Suppose -m*r = -50 - 13. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(5\/7)\/(u*u**(-2)\/u) assuming u is positive.\nAnswer: u**(19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*i - 24*i - h = 12, -h - 4 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r + 2*r - 5*r + 2*r + r - 2*r + (r - 2 + 2)*(-2 - 1 + 5) - 22*r + 22*r + 18*r - 3*r + 4*r + r)*(13 - 66 + 20).\nAnswer: -825*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -346714 divided by -366?\nAnswer: 173357\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/(-5) - 2 - -20. Let t(a) = -a**3 + 16*a**2 - 13*a - 21. Let o be t(h). List the prime factors of (-3880)\/(-24) - (-3)\/o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 7*l**2 - 8*l + 7. What is x(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*b = -4. Let u(x) = 2 - 2*x - 103*x**2 + 105*x**2 - 4. Determine u(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*g + 5. Suppose 7*w - 6*w = 15. Suppose -9*o + w = -4*o. Solve -g = 5*r - 2*n - 40, -19 = -o*r - 4*n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 9*s**3 + 5*s**2 - 5*s. Let d(v) = 2*v - 2*v**2 - 5*v**3 + 0 + 0. Let l = -11775 - -11777. Calculate l*w(h) + 5*d(h).\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*n - 17 + 30 + 125*n - 13.\nAnswer: -11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.17? (a) 1 (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 0*n - 9 + 0*n**2 + 37\/3*n**3. Let b(x) = -2*x. Calculate d(b(s)).\nAnswer: 148*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 5*z + 6. Let q be (-43)\/(6\/((-252)\/(-7))). Let r = 254 + q. Calculate i(r).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v + 2*v - 4*v)*(-4204 + 10918 + 18950 - 2784).\nAnswer: 68640*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q - 4. Let x(m) be the first derivative of -12 + 11 - 84 - m. Let d be (-3)\/(-1) + (-1 - 1). Calculate d*a(o) - 4*x(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/5))**(-34)\/(x\/(x*x**(1\/7))*x**(2\/7)) assuming x is positive.\nAnswer: x**(471\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -0.1511.\nAnswer: 0.01511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27\/4 + -13\/2. Which is the closest to u? (a) 4 (b) 1\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 + 3)*(7*o - 31 + 31)*(3 - 3 - 3*o**3) to the form s*o**4 + g*o + b*o**3 + q + m*o**2 and give s.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 12:59 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2548 * 0.263\nAnswer: 670.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-1)\/3) + -1. Let t be j\/22 - (-568)\/(-748). Let a = t - 87\/34. Find the common denominator of a and 145\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18*(-19)\/(-14706))\/(8\/16).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 2:37 PM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 6*r**2 - 9*r - 2. Let c(s) = -7*s**2 + 9*s + 3. Let q(d) = -2*c(d) - 3*o(d). Find the second derivative of q(y) wrt y.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 29 = -5*m + 52, -3*c - 31 = -m for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5 - 12 = -3*p, 5*p - 2*j + 13 = 0. Let x(c) = 2 - 11 + 4 + 5*c**2 + 6. Determine x(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*j + 4*j - 2 = 0, 4*t = j + 8. Are 4\/3 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 11:56 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -t**4\/4 + 4*t**3 - 24*t**2 + 12*t. Factor j(u).\nAnswer: -3*(u - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1202b (base 12) to base 3\nAnswer: 1020020022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 11*a**2 - 2*a - 14. Let t be m(-11). Let o = 29 - -11. What is the highest common divisor of t and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 6, 1002, -22, 2.\nAnswer: -22, 2, 4, 5, 6, 1002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n. Let l(c) = -19*c**2 + 4*c. Let d(b) = -163*b**2 + 70*b + 65*b - 482*b**2. Let h(o) = 4*d(o) - 135*l(o). Calculate h(w(s)).\nAnswer: -135*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5154, 9724, 13714, 17124, 19954, 22204?\nAnswer: 23874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2051*l**2 + 4*l - 41.\nAnswer: -4102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -3*i - 19, i + 260*m - 177 = 278*m for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*c - 16, 4*v + 2*c = 25 - 11. Let d be v*3\/(-2 + -1). Is -3\/8 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.7 and -16.\nAnswer: -18.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -280\/23 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1662.7 + 1667.7. What is the third smallest value in -1, a, -3, -8.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*i)*(-2*i - 2*i + i)*(-43*i**2 - 16*i**2 - 35*i**2 + (4*i - i - 2*i)*(-3*i + 2*i + 5*i)).\nAnswer: -540*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 380*r**2 - 26*r - 203. List the prime factors of h(-7).\nAnswer: 7, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 927800, 927809, 927818?\n\"Answer: 9*f + 927791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13495 is divided by 473.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21780 by 1852.\nAnswer: 5445\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 165 - -341. What are the prime factors of i?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/114 and -83\/12?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631090 is divided by 828.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1*f)**28\/(f**(1\/6)\/f**(-1\/8)) assuming f is positive.\nAnswer: f**(1337\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 26.7. What is the nearest to 0.1 in -1, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 890297 - 895067 = -318*v for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 10:21 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 131 + -365. Does 28 divide ((-16)\/(-12))\/((-3)\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -5.7. Let f = -1125 - -1125.5. Which is the nearest to -4? (a) 0 (b) j (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 4:38 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -86*j + 2082. Calculate the smallest common multiple of 1677 and n(24).\nAnswer: 10062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-408)\/(-17))\/(4266\/316). Determine p, given that 2\/9*p**2 + x + 4\/3*p = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from uuizoizl?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -34 = -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155 (base 6) to base 13.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*v + 1 - 2 = 0, -3*t + 15 = 3*v. Sort t, 1, -5.\nAnswer: -5, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 + -55.918. Let x = -0.022 + q. What is the third smallest value in x, -2, -5, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*b = -16 - 18, -5*k - 3*b = -49. What is the first derivative of 4*o**2 - 12*o**3 + k*o**3 + 4*o + 16 - 4*o**2 wrt o?\nAnswer: -3*o**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -0.07 (c) 112 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-18)*(-2574)\/(-3003)*-18?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**2\/7 + 5914*s\/7 + 1056588\/7 = 0. What is s?\nAnswer: -169, 3126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1579 - -1584. Which is the third smallest value? (a) -14\/5 (b) -4 (c) t (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 62, 161, 292, 455, 650?\n\"Answer: 16*k**2 + 51*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187275458.\nAnswer: 2, 93637729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -178 + 196. Let h(p) = p**3 - 19*p**2 + 20*p - 33. Let q be h(y). Solve -m - 6 = -2*k - 6*m, -4*m = k - q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -262.4 - -262.1. Which is the nearest to 1\/3? (a) 8 (b) 0.3 (c) r (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -838.713 rounded to the nearest integer?\nAnswer: -839","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*m - 90 = -0*j, -3*m - 210 = 3*j. Let s = 119 + j. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375*k - 4217 - 1920 = 14*k for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 6*k + 5*z - 22, k - z = 25. Let s = k - -5. Calculate the greatest common divisor of s and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(77\/63)*(-28)\/(-1197)*38\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**3 + 9*d**2 + 1577*d + 7898. Determine k(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 1 + (-1 + 1 - 1)*(1 - 2 + 3) - 22 - 292 + 147)*(4174*c - 77*c**4 - 4174*c) to o + t*c**2 + s*c**3 + g*c**4 + r*c and give g.\nAnswer: 13090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18\/43? (a) -1.73 (b) 0.4 (c) 123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -111, -279, -483, -723?\n\"Answer: -18*z**2 - 114*z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/13 and -4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -5*n + 36, 4*p + 16 = 2070*n - 2074*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 647 in -12\/5, -4, -674?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -41 + 1dd?\nAnswer: 19c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6e3 (base 15) in base 4?\nAnswer: -120123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1, -0.04, 3, 4, -3583?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5945*v**3 + 3798*v**3 - 9739*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3174 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**2 - 110172*s - 1011489132 = 0. What is s?\nAnswer: -18362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 4. Let x(q) = 6*q - 27. Suppose -2*o + 3*h = -0*o + 45, o = 2*h - 21. Determine o*i(z) + 4*x(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + g + 4*g = -23, -4*g - 4 = -4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3 (b) 8 (c) -8 (d) -0.022\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1.196, -204, 0.4, 2\/3 in ascending order.\nAnswer: -204, -1.196, 0.4, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 3*v - 1. Let k be d(-3). Let b(w) = w - 6. Let a be b(10). Let s(r) = a*r - 3*r + 2*r**2 - 4*r + 2*r - 1. What is s(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/9 in -0.4, -0.284, -5?\nAnswer: -0.284","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2769 (b) 2\/11 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*(-5)\/2*4. Suppose p - 3*l - n = 0, 26 = -4*p - 3*l + 166. What are the prime factors of p?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 45 = d + 3*w, 3*w = -3*d - 15. Let f = 24 + d. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c + 0*c + 9*c.\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 - 5*y - 3. Let m be t(4). Let q(n) = 3 + 0*n - n + m. Let o be q(7). Solve o*k + 8 = -7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j - 31311 = -41*j + 18*j. Does 126 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 8. Let l(a) = 8*a - 32. Let j(n) = -l(n) + 4*m(n). Let o(b) be the first derivative of b**3\/3 + 2. Calculate o(j(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93089*w**2 - 189437*w**2 + 96347*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand u - u + 2*u + 3 - 3 + 2*u - 2*u + 2*u + 2*u - 3*u + 0*u + 4*u - 2*u + 0 + 0 + (-4 - 2 + 4)*(3*u + 0*u - u) + 2*u + 45 - 74 - 124.\nAnswer: 3*u - 153","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 50319, 50641, 51185, 51957, 52963?\n\"Answer: m**3 + 105*m**2 + 50213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50.7 - -58. Let x = q - -0.2. Let k = x + -10. What is k rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4, -21, -94, -239, -480, -841, -1346?\n\"Answer: -4*d**3 + 3*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/8)\/(o**20*o))\/(o*o**(-13))**(-19) assuming o is positive.\nAnswer: o**(-1989\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-81)\/216 + (-39597)\/(-2040). Let c = m - 256673\/13685. Calculate the common denominator of c and 99\/2.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19710897?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, d: 1, f: 2, x: 2, j: 4, q: 1}. Give prob of sequence fpf.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 194264 and 49928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*l - 59 = 0, -c = l + 8 + 18. Let x be ((-91)\/c - 4)\/(1\/6). Solve 5 = x*q + 3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*y + y + 44 = 0, 4*m - 35 = -y. Solve -4*s + 8 = -o, 4*s + 0*o + 2*o - m = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/115 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 48*s**3 + 112215*s - 39982790 wrt s.\nAnswer: 144*s**2 + 112215","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -523.6 - -452. Let t = -72 - a. Let m = t + 0.38985. Round m to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.344? (a) -1 (b) 2 (c) -6\/17 (d) -1\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -105 - -106. Solve -4*v + 9 = x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 9*y**2 + 11*y + 7. Let j be g(-7). Let o = -707 - j. What is the highest common factor of 35 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 640.5 + -640. What is the smallest value in i, -0.1, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49\/97 + 12073\/679. Which is bigger: 19 or d?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 535305 or 535546?\nAnswer: 535546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4\/11 + 30*m**3\/11 - 134850*m**2\/11 + 12825250*m\/11 = 0.\nAnswer: -305, 0, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a week?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + -6 + 6 - -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 1)*(-2 - (-2)\/4). Suppose 5*n = 4*j - 2329, -3*n - 1746 = -g*j + n. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-3 + 8)\/(-1))\/1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 88 - 133 = 0. Let j(z) = 4 + z - 15 + 2 + 3 - 2. Give j(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(7\/4))**10 assuming h is positive.\nAnswer: h**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 124 = -8*y, -313*a + 317*a + 12 = y for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 5 + 2)*(352*h - 352*h + h**2 - 99).\nAnswer: -12*h**2 + 1188","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-330)\/(-9))\/5)\/(1904\/(-2856)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-9) - 32\/12. Let w be 35\/(-364) - j\/8. What is the smallest value in 0.2, w, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-71 + 219 + 68)*(4 - 8 + b - 3*b) in the form x + k*b and give k.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*w**2 - 67*w**2 + 214*w**2)*(-w**2 + 2*w**2 + 2*w**2)*(7 - 3 + 8) in the form f*w**2 + n*w + l*w**4 + c + b*w**3 and give l.\nAnswer: 6048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 + 39160*z - 2 - 39206*z to the form o + j*z and give j.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/9? (a) -16\/7 (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1023*z = 896*z - 889 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 203 + -182. Calculate the smallest common multiple of i and 255.\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1393 - 893. What is the lowest common multiple of 10 and h?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**5 - w**2 - 5*w + 5. Let x(z) = 2*z**5 + 2*z**2 + 4*z - 4. Let r(m) = -4*a(m) - 5*x(m). Find the third derivative of r(u) wrt u.\nAnswer: -360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12647810?\nAnswer: 2, 5, 7, 281, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -5*h - 54. Let q be 24\/(-42) + h\/21. Suppose w - 21 = -2*g, 0 = 2*g + q*w + w - 11. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*d - 12*d - 39*d.\nAnswer: -88*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + 8*s**2)*(-19*s**2 + 215*s - 215*s).\nAnswer: -152*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.668 + 19.29. Let i = p - 24. Round i to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46966243?\nAnswer: 46966243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-36)\/16*124\/465. Which is the nearest to -1? (a) 1 (b) g (c) 0.91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4) + (-1)\/2. Suppose o + 11 - 2 = p. Let w = o - -21. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-13759400)\/(-267))\/(8\/(-1572)). Round t to the nearest ten thousand.\nAnswer: -10130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8158 a factor of 3973778116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 0 - 4*z - 4 + 1 + 8*z. Let u be v(7). Suppose -21*r + u*r - 220 = 0. Calculate the greatest common factor of r and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j**2 - 3*j. Let h(z) = -51*z**2 - 4. Calculate s(h(t)).\nAnswer: 15606*t**4 + 2601*t**2 + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**4 - 2*t**3 + t**2 + t - 1. Let l(q) = -9*q**4 - 3*q**3 + q**2 - 127*q - 1. Let b(n) = l(n) - r(n). What is the second derivative of b(i) wrt i?\nAnswer: -84*i**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 20*l**2 - 29*l + 15. Let a(d) = 30*d**2 - 44*d + 23. Let x(t) = -5*a(t) + 8*f(t). What is the tens digit of x(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*2*(-4)\/88. Sort 3, n, -4, 0.1 in ascending order.\nAnswer: -4, 0.1, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 553339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 2\/15, 0.5, -77.005, 0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 1:39 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*x**4 + 1892553*x**2 - 3*x + 115292642?\nAnswer: 8*x**3 + 3785106*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 7 = 5*q. Let v be (-282)\/(-54) - (-3)\/((-54)\/4). Suppose 0 = -v*g + 7 + 8. What is the least common multiple of g and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/10)\/((-1077)\/3))\/(8\/192*-6)?\nAnswer: -2\/359","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 100200111?\nAnswer: 100200121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 136?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -286 - 3b655?\nAnswer: -3b90b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*j + 3*m - 3*m - 50 = -4*m + 384, 0 = -2*j + 4*m - 8 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 s, and 1 w when four letters picked without replacement from zsbssssszssbznwsswwb.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 15*j + 7. Let g(x) = -2*x + 4. Let u be g(-4). Suppose -5*z + 4*s = -22, -3*s = z - 0*s - u. Is r(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {k: 9, b: 5}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2586, 5176, 7766, 10356, 12946, 15536?\n\"Answer: 2590*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 64*p - 3317. Let u be k(34). Solve -u = -5*n - 3*l, -7*n + 8*n + 3*l = 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -183\nAnswer: 18.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.29 + -15.71. Let u = w - -11. Suppose -2*j + 2 = 0, 5*r - 164*j = -162*j + 18. Which is the biggest value? (a) u (b) r (c) 2\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 762569 is divided by 2218.\nAnswer: 1795","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3959 divided by -77?\nAnswer: 3959\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7646, 31053, 70066, 124685?\n\"Answer: 7803*t**2 - 2*t - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*p + 40. Let b = -2317\/6 + 367. Find the common denominator of (2\/p)\/(-9 - (-249)\/30) and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1371, -2752, -4151, -5574, -7027, -8516, -10047, -11626?\nAnswer: -13259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2699*t**2 + 16614*t. Let z(s) = 540*s**2 + 3323*s. Let q(g) = -2*u(g) + 11*z(g). What is the second derivative of q(r) wrt r?\nAnswer: 1084","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -10. Let r = -6 - n. Let s = 0.09 - -0.21. Which is the third smallest value? (a) s (b) r (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + j + j**2)*(109 - 40 - 48)*(-3 + 3 - j**3).\nAnswer: -21*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -1\/30*x**4 - 4\/15*x + 6 + 0*x**3 + 1\/5*x**2. Factor y(b).\nAnswer: -2*(b - 1)**2*(b + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 15236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226*j - 332*j - 4165288 + 725906 = 0. Round j to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**3 - j. Let r be h(1). Let t = 33 + -46. What is the third biggest value in r, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 2*x - 60 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vhhh when four letters picked without replacement from vhhhhvvvhhvh?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 276228977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4310011 (base 5) in base 11?\nAnswer: -4a525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3553 and 54857997.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -99 + 95. Let i(g) = -g**2 + 1 - 5*g - 2 + 3. Let x be i(b). Solve r - 15 = x*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 8*t. Let g(s) = 2. Let j(k) = k + 3. Let q(d) = 3*g(d) - 2*j(d). Give q(z(b)).\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4176385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1889, -7634, -17253, -30758, -48161, -69474, -94709, -123878?\nAnswer: -156993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/53 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3992516 to the power of 1\/3, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3860, 3877, 3896, 3917, 3940?\nAnswer: 3965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-132) - (-31)\/11)\/((-198)\/1155*-25)\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389067 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 times -771?\nAnswer: -115.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 249171718 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -0.16, 334\/9?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -429d9 (base 14) to base 5\nAnswer: -20123412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10638992459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 72*d + 72. List the prime factors of z(17).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 divided by 12\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3334 = 9*i - 932. What is the remainder when i is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, j: 7, u: 3, b: 3}. Give prob of picking 1 b and 3 u.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 486 and 405?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-40)\/10 + (-1 - -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -811, -2995, -6513, -11365, -17551?\nAnswer: -25071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(19) + (sqrt(1539) + 0)**2 - sqrt(19)).\nAnswer: -4617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 + -0.2. What is the biggest value in 1, -2\/9, 0.4, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.67 + -1.27. Which is the second smallest value? (a) s (b) 25 (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15432543 and 86013?\nAnswer: 4527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2746 + -2742. Suppose -c + 4*c = 0. Suppose 4*v - 50 = -5*x - v, c = -h*v - 8. Calculate the remainder when 19 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*h = -w + 3, 0 = 5*w - 3*h - 5. Let o(j) = -j + 1. Suppose 9 = 4*n + 1. Let l(r) = -1. Calculate n*o(a) + w*l(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 19*a**2 - 360*a + 633. Determine n(17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**5 + 148*z**4 - 804*z**3 - 52048*z**2 + 260006*z + 311100 = 0. What is z?\nAnswer: -17, -1, 6, 25, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/7)\/(f\/(f**(3\/7)*f))*f*f**(-1)*f**(-4))\/(((f**(-4)*f)\/(f**(-2)\/f))\/f**(-15)) assuming f is positive.\nAnswer: f**(-131\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = -o. Put -9, -5, o in ascending order.\nAnswer: -9, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77) + 2*sqrt(77)*5)\/(sqrt(7) - sqrt(112)*-1).\nAnswer: 12*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 100111111 (base 2) in base 13?\nAnswer: 1b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1675 - 1629. What is the highest common factor of 14 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -8*q**3 - 7*q. Let p be 0 + -1 - (-42)\/3. Let v = p + -7. Let o(t) be the first derivative of -7*t**4\/4 - 3*t**2 - 2. Determine v*j(w) - 7*o(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -792*x - 2*y - 18 = -796*x, -2*y + 0*y + 22 = 4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 10:24 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o**3 + 2*o**2. Let x(m) = -8*m**3 + 3*m**2 + 1. Calculate 5*n(f) - 3*x(f).\nAnswer: 4*f**3 + f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**3\/k)\/k)\/k)**(14\/13)\/(k**(-34)*k**(2\/31)*k*k) assuming k is positive.\nAnswer: k**(990\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - -1 - (-5 - -4). Let p(w) = 2*w - 8*w - k + 7*w. Suppose 4*s = -4*z - 12, -5*z - 1 = 4*s - 6*s. Determine p(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -790, -1586, -2382, -3178, -3974?\nAnswer: -4770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/7 (b) -4 (c) -3 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3 = -6, 4*f - 4*g = 12. Let l(v) = -v - 13. Let j(p) = -5*p - 66. Let a(q) = 2*j(q) - 11*l(q). Give a(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + ((-32)\/14 - -1). Let k = 270.12 - 302. Let a = 32 + k. Is a at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -0*h - 15. Let s(v) = -15*v + 181. Let r be s(12). Let c be -1 + (-7)\/((-7)\/6). Solve a = -c*i + r - 0, i - h*a = 13 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a decade in months?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (10 + -1 + (-58 - -57))) + 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 3 = c, -5*c - 2*s - 5 = -8*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = -4878 + 41152. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/54*-24)\/((-2)\/99).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - -2 - 2 - -5. What is the highest common factor of c and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -5*u + 45, 5*w + u - 15 = 6*u. Let y be w*8\/6*1. Suppose 0 = -m + 3, 5*q - 5*m - 2 = y. Solve -2*f = q - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 18*m - 134. Calculate v(-7).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 96 + -95. What is the third smallest value in 5, c, 0, -2\/13?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-16 - (-55 + (-10 - (-4 - -8))))\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(35\/4) - (-365)\/35. What is the common denominator of (l - 9) + (-2 - (-222)\/(-88)) and 11\/6?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 11:30 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1064)\/57*5\/((-40)\/6)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 - 1)*6*12\/(-16). Let r be (i - 0)*(1\/(-3) + 0). Factor 6 - r + 4*c - 10*c**2 + 9.\nAnswer: -2*(c - 1)*(5*c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1660, -3342, -5016, -6676, -8316, -9930?\nAnswer: -11512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) -5 (c) -3 (d) 1045\/3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1295.9668 rounded to 1 decimal place?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 760 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s + 2. Let z(i) = 130*i**2 - 13*i. What is v(y) - z(y)?\nAnswer: -130*y**2 + 10*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*a - 25, 96*t = 3*a + 101*t - 48. Let n(v) = -3*v + 33. Determine n(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23771677.\nAnswer: 29, 41, 19993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291906 - 55827 = -81*a. Is 53 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*36\/27.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/70)\/((-84)\/(-5040))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nfgzzznnngggnzznnn. Give prob of picking 4 z.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 11*l - 2*l + 45 + 8*l**2 - 37. Let h be m(-4). What is the highest common factor of h and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 2*d = 9*m + 2, 8*d = 3*d + 15 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 12*n**3 + 13*n**3 + 16*n**3 - 5*n**2.\nAnswer: 17*n**3 - 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88324, 88214, 88104, 87994?\nAnswer: 87884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*s - 1)*(-2 + 1 + 3 + (5 - 2 - 2)*(3 - 2 + 1) - 3 - 1 + 7).\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*d - 16 = 0, 5*n - 4 = d + 24. Suppose -4*v - n*x + 404 = 0, -x = v - 144 + 44. What is the greatest common divisor of 72 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4, -96, -346, -832, -1632?\n\"Answer: -13*y**3 - y**2 + 2*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 92\/28 + (-2)\/7. Let r(t) be the first derivative of 2\/5*t - 2\/5*t**2 + 2\/15*t**h - 3. What is w in r(w) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 94, 8852 in increasing order.\nAnswer: 4, 94, 8852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27.83 - 28. Let l = j - -2.17. What is the third biggest value in -0.3, l, 1\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12 + -3?\nAnswer: f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3441121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29677 + 29676.98101. Which is smaller: t or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42464.\nAnswer: 2, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1599772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7137 + -11142. What is w rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195395 is divided by 86?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 19 = 5*x, 3*x + 2 = 4*o + 5. Let r(a) = 11 + 4*a - 5 - o*a. Determine r(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16464\/9261 - 2\/(-9))*(-1)\/(-22).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2\/9)\/(o**(-8)*o))**24)**15)**(20\/7) assuming o is positive.\nAnswer: o**(48800\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g**4 + 0*g**3 + 28*g**3 - 4*g - 18 - 7*g**3 - 23*g**3 + g**2 + 0*g**2 in the form r + y*g + w*g**4 + a*g**3 + q*g**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-36 + (-13 - -12) - -13)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 12*s**5\/5 + s**4 + s**3 + 3*s**2\/2 - 1063*s + 3796. What is the second derivative of t(i) wrt i?\nAnswer: 144*i**2 + 24*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2228 divided by -557?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 71\/3 + 4\/(-6). Let v = x + -8. Suppose -s + 1 = b + 3*s, 5*b - 27 = 2*s. Solve 5*f = 2*h + v, -f = -0*f - b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/2)\/(2\/16). Calculate the lowest common multiple of 10 and (-2)\/z + (-9)\/(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 86\/34083?\nAnswer: 86\/34083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -11*b + 15. Is o(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -226 (base 7) to base 4.\nAnswer: -1312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 920404.\nAnswer: 2, 230101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -296, -970, -2024, -3470, -5320?\nAnswer: -7586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10.5 in 1, -1, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 97028.\nAnswer: 970280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 702, 81, -1994, -5523, -10506?\n\"Answer: -727*q**2 + 1560*q - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 23294.67 microseconds?\nAnswer: 0.0003882445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001570481103 rounded to 7 decimal places?\nAnswer: -0.000157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j + 21*j + 219 = 0. Let s = j - 39. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(275) + 3.\nAnswer: 3 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 + 1 + 124135367501146*d - 124135367501146*d - 1.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03961 + 2.03961. What is the closest to -25 in i, -6, 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 6*x. Let p(f) = 2003*f. Calculate p(s(m)).\nAnswer: 12018*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 626*h**2 - 266*h**2 + 4230*h**2.\nAnswer: 4590*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(425) + 0).\nAnswer: -20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fthhhfhhf. What is prob of sequence hf?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 168 + -162. Let p be (-1000)\/(c\/(-48)*-4). What is p rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -14 + (1 - -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7293 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**4\/2 - 592*a**3\/3 + 8003*a + 3604. Differentiate p(z) with respect to z.\nAnswer: -6*z**2 - 1184*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nurn when four letters picked without replacement from jrrrjnrjnirjgjiiijuj?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 10:42 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nww. Give prob of sequence nw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 9:20 AM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 486.6 to the nearest 10.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4345 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-1) - 0) + (2 - 2). Put -1, o, 5, -2 in ascending order.\nAnswer: -2, -1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 f when three letters picked without replacement from fbkbfkbb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94568?\nAnswer: 2, 11821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -33*o**8\/56 - o**7\/42 + o**4\/12 + 19*o**2 - 7*o + 7. What is the third derivative of w(f) wrt f?\nAnswer: -3960*f**3 - 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/4 (b) -0.1 (c) 4 (d) 10 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 81.907066 to zero dps.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 1:24 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 64*x**5\/5 - 72*x**4 + 388*x**3\/3 - 72*x**2 + 16*x - 51. Factor v(p).\nAnswer: 4*(p - 2)**2*(4*p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -119*h**4 + 369 with respect to h.\nAnswer: -476*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 3524.8311 days?\nAnswer: 503.5473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 180*f - 79*f - 874660. Is 20 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -44, -92, -140, -188, -236, -284?\n\"Answer: -48*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -5, 3, -3, 4.\nAnswer: -16, -5, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 11:54 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -9.8, 2\/31, 5\/2, -1\/7 in increasing order.\nAnswer: -9.8, -1, -1\/7, 2\/31, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**5 + g**3 - g**3 - 5*g**5 + 3*g**5 + 4*g**5 + (1 + g - 1)*(0*g**2 + 0*g**2 + g**4) - g**4 + g**4 + 2*g**5 + 16*g**5 + 50*g**5 - 5*g**5.\nAnswer: 64*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 904270189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 0.1, 12283?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((20\/(-1150))\/(8\/(-40))).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.29157 + -0.465913. Let x = -18.825557 + g. Let a = 19 + x. Round a to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*h**2 + 234*h**2 - 320*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**3 - 5*c**3 - c**4 + (c**2 - 2*c**2 - c**2)*(0*c**2 + 2*c**2 - 5*c**2) + (-43 + 43 + 22*c)*(-c**3 - c**2 + c**2).\nAnswer: -17*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 1:59 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 224 = 8*s. Let b(t) = 22*t**2 + 120*t - 16. Calculate the remainder when s is divided by b(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5256 + 7?\nAnswer: 5264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28.36 - -0.64. Let t = 18 - -16. Let u = h - t. Which is the second smallest value? (a) u (b) -7 (c) 2 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.9 - 3.9. Suppose 26 = k + k. Let u be k\/10 + 1\/5. What is the nearest to o in 0, u, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 + -12)\/((-2)\/(-9)). Let w = q - -39. 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: Let h(r) = r**2 - 986*r + 22813. Calculate h(24).\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -49 - 9 - (-5 + 14).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 8. Suppose y + 3 = 5*y + 5*u, -5*y + 12 = -2*u. Suppose 0 = -y*g + 5*q - 25, g + 0*g - q + 5 = 0. Calculate f(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -212*r**3 - 3*r**2 - r - 16. What is the units digit of l(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6940, 6947, 6966, 7003, 7064?\nAnswer: 7155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwwwgwcwwwwwgwcwkwyw.\nAnswer: 91\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = u - 11, 0 = 4*u - 3*v - 4 - 17. Find the common denominator of (3\/8)\/(u\/(-19))*-2 and -99\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**4 + 2*w**3 + w**2 + 74499 + 4*w**2 - 73873 to the form u + m*w + q*w**3 + v*w**2 + l*w**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2\/9, 185, -596 in increasing order.\nAnswer: -596, -2\/9, 0.2, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4386*m + 74214. Give w(-17).\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 110581711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from wwwhwhqqhnhhqqqqnh.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 + 53. Solve 4*d + 3*o + 20 = 0, 4*o - 20 = f*d + 8*o for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88*(1 + 45\/(-36)) - (3 - (1 - 0)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 4:50 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/(b\/b**(-9))*b\/b**(1\/15)*b*(b\/(b*b**(2\/23)*b))\/(b\/(b*b**1*b)*b) assuming b is positive.\nAnswer: b**(-2123\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*z + 381 = -303. Let m(o) = -6*o + 23. Let p(l) = -1. Let b(x) = -m(x) - 2*p(x). What is the units digit of b(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.758686435647 minus 4?\nAnswer: -3.241313564353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**5\/4 - a**4\/8 - a**3\/6 + a**2. Let h = 2 + -4. Is b(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q + 195 = 1251. Find the common denominator of 4 + -2 + (2 - 549\/q) and 79\/20.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a meter in centimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 76) + (153 - 110) + (3 - 44).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-10))\/1 - 407\/(-2960). Let u(h) be the second derivative of 0*h**3 + 0*h**2 + a*h**5 - 3\/16*h**4 + 0 - 14*h. Factor u(c).\nAnswer: 3*c**2*(c - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3816, 2, 3, -1725 in descending order.\nAnswer: 3, 2, -1725, -3816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43017216.\nAnswer: 2, 3, 11, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 2*a + 222. What is n(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: dce (base 15) to base 12\nAnswer: 197b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (-47 - (-72 - 19))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95 + 1. Calculate the common denominator of -13\/22 and 10*(-6)\/l + -1.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2187\/2*x**2 + 1\/2*x**3 - 387420489\/2 + 1594323\/2*x.\nAnswer: (x - 729)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**5\/7 + 93*c**4\/7 + 5910*c**3\/7 - 57930*c**2\/7 + 97773*c\/7 - 6549 = 0 for c.\nAnswer: -37, 1, 7, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-49))\/((-2)\/14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/14 + (-144)\/42. Let v(c) = c**3 + 4*c**2. Let b be v(w). Let s(a) = -a**2 - a + 4. Let u be s(b). Solve -u = 4*g - 2*l, -2*g + 6 = -5*l - 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.047214.\nAnswer: 0.094428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/105319 and -67\/326.\nAnswer: 34333994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-4))\/(z\/z**(-6\/7))*(z*z**(-7)*z)\/z*z**4)**3 assuming z is positive.\nAnswer: z**(45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -6539530 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 958517779 to the nearest integer?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0.3. Let j be (2 - 12)*(-12)\/60. Put j, t, 2\/11 in increasing order.\nAnswer: 2\/11, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from usvcy. Give prob of sequence cyu.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11.67 * 0.1239\nAnswer: 1.445913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 369 - 86 = -4*z, -4*c = 3*z - 1094. What is the highest common divisor of c and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/7)\/((-125)\/35))\/(24\/(-60)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -87358137.9 rounded to the nearest 1000000?\nAnswer: -87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*k + 1, 0 = -5*d + 2*k - 3*k + 9. Let f = 104 - 90. Suppose 3*s - i - f = 4*i, 0 = -3*i - 12. Sort s, d, -5.\nAnswer: -5, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 - 67. What is j(0)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/7, 0.09, -5, 3\/8?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 54 = 9*b. Calculate the remainder when 22 is divided by 115\/15 + (-2)\/b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8025421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 - -46. Let a(x) = r*x**2 - 9*x**2 + 6*x**2. Let l(m) = 6*m**2. Determine l(a(p)).\nAnswer: 54*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**3. Let b(u) = 9*u**3. Give 6*b(n) - 21*j(n).\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13914290 is divided by 1987755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 7*d + 2. Let t be i(6). Let l be (-22)\/1*(-9)\/2. Let r = 100 - l. Sort r, t, -2.\nAnswer: t, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-44))\/(225\/(-100)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 8*q - 5. Give d(7).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-9)\/(-15)*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40690000 to the nearest 1000000.\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 0*k + 7\/120*k**5 - 1\/80*k**6 + 0 - 1\/4*k**3 - k**2 + 7\/48*k**4. Factor c(i).\nAnswer: -(i - 3)*(i + 1)*(3*i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + w**3 + 0*w**2)*(0*w - 2*w + 8*w) - 2*w**4 + w**4 + 7*w**4.\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2331*w - 6*w**3 - 2331*w.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/6 + (-35)\/(-75). Let f = 1 - 2. Which is the closest to f? (a) -5 (b) g (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26376 and 3416.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011000011 + -1001?\nAnswer: -100011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -116688229985 - 3?\nAnswer: -116688229988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x**3 - x**2 - x. Let j be f(-1). Let b(i) = -i**2 - 9*i + 4. Let p be b(-9). Suppose 0*m = -p*m + j. Solve 0 = 5*d - m - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(441)*-2*-2)\/(1*sqrt(112)))\/(-6*2*sqrt(1089)*-5).\nAnswer: sqrt(7)\/660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 8:05 PM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*j - 2*j**4 + 54876*j**3 - 16 - 71*j**2 + 69*j**2 - 54874*j**3 to r*j**2 + q*j**4 + u*j + b*j**3 + k and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -11. Calculate the remainder when 13 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m + 3*m + 10*m**2 - 7*m.\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 94184.72 micrograms in grams?\nAnswer: 0.09418472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-10\/13)\/z*z)\/z**24)**1 assuming z is positive.\nAnswer: z**(-309\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 223.66 - 223.683868. What is m rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from 0.0309.\nAnswer: 0.5309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + 4*j - 143, 2*l + l - 4*l + 49*j = 2053 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36221.69 milligrams to grams.\nAnswer: 36.22169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -271940.1024875619 + 0.1041875619. Let d = -271951 - y. Let k = -11 - d. Round k to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408*c = 416*c - 23896 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 896944414?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 10*p**2 - 11*p - 7. Let g(t) = t**2 + 13*t - 6. Let n be g(-14). Let u be v(n). Let d = u - 2. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n + 16*n - 10*n - 8*n**2.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*n - 18*n - 70 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 - -6070273.\nAnswer: 6070320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-39) - 3\/((-117)\/123)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.8 * 0.24.\nAnswer: -0.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6145511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20c (base 15) in base 7?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-4*(sqrt(208) + 0))**2 + sqrt(208)).\nAnswer: -9984 - 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.5, 2\/175, -44 in increasing order.\nAnswer: -44, 2\/175, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57882*x + 2*k - 14 = 57871*x, -2*x - 5*k = 16 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*j + 780 = -24*j. Solve 3*w - j + 17 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6528 and 69888.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 30. Let h(p) = -p**3 + 15*p**2 - 26*p + 18. Let b be h(13). Let z = b - a. Solve 0*r - 3*r - 5*s = -2, z*s - 7 = 3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-7))\/(10\/(-35)). Suppose -y*t + 5 = 3. Suppose -t = -5*w + 9. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*z = 250, 2*z = -3*r + 94 + 283. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/v**1)\/v)**(4\/9))**(-6\/17))**26 assuming v is positive.\nAnswer: v**(208\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 381062.3 tonnes?\nAnswer: 381062300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*4.56.\nAnswer: -18.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -11*g**2. Let r(w) = 827*w**2. What is r(i(a))?\nAnswer: 100067*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(12958\/(-93) + 114)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1172 - -1171.9997978. Round q to 5 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-6)\/(a*a**(-1\/28)\/a)*((a*a\/(a*a\/(a*a**(7\/3)))*a)\/a*a)**(3\/4) assuming a is positive.\nAnswer: a**(-19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*q**2 + 164*q**2 + 1000*q**2)*(-7 + 22 + 9).\nAnswer: 27360*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) -23395593 (c) 1 (d) 2 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31657139 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (264\/(-484))\/(((-6)\/(-1386))\/((-1)\/3)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m. Let d be l(2). Let r = 7 - d. Suppose -5*o = -36*n + 38*n - 57, n = o - 17. Solve r*v + o = 3*z + 4*v, -v + 17 = 3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 8. Let d = 0.19 - 0.09. Which is the biggest value? (a) 3\/5 (b) h (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1566 - -1564. Let x = -4 - -8. Sort n, 0.5, x in descending order.\nAnswer: x, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 89 + 20. Let m = k - 9. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16*(-351)\/(-312)*(-6)\/18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 197867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*s - 696 = 152*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-8)*4*5\/((-220)\/132)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19546831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -15. Let q = 4774.9 - 4775. What is the closest to q in g, -3\/4, -3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 30*o**2 + 54*o + 52. Suppose 3461 - 4413 = -34*t. Calculate u(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-403)\/117*-1137 - (-6)\/9 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26226)\/1128*24\/9?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -27*k**2 + k - 3. Let w(x) = -44*x**2 + 2*x - 5. Let d(r) = -5*i(r) + 3*w(r). Calculate d(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 10*p**2 - 17*p + 8. Let n be d(8). Suppose -10*i - i + 3388 = n. Does 48 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + i + 0)*(i**4 - 2*i**4 + 0*i**4) + 81 - 230 - 141*i**5 + 142.\nAnswer: -142*i**5 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 835688 and 224?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108)\/sqrt(4)*-2 + (sqrt(270) - (2*sqrt(270) - sqrt(270)))\/sqrt(10) + 3.\nAnswer: -6*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(2 - 3) - 4. Suppose -16 + 76 = l*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10574, -21152, -31730, -42308, -52886, -63464?\n\"Answer: -10578*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 + 51 - (-3 + (0 - -2) - -6) - 7?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 4:37 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 5*f - 3. Calculate a(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46322117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2)\/(q**(-4\/3)*q)*(q**(-1)*q)**(-6\/17)*q\/(q\/q**(-3))*q\/q**(-3)*(q\/q**(-4))\/q**(-1\/14) assuming q is positive.\nAnswer: q**(185\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 657140000 rounded to the nearest 1000000?\nAnswer: 657000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.6 + 0.4. Let u = a - 15. Sort -23, 0.5, u in decreasing order.\nAnswer: 0.5, u, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-18)\/27*1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 109791098 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 25. Suppose -3*l = 3*h - 13 - 41, l + 6 = 5*h. Let v = 10 + -7. Solve v*y - a - l = 0, -5*a = -t*y - a + 35 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 7431*q**2 - 4963*q\/3 + 2\/3 = 0.\nAnswer: 1\/2477, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-30)*8 - 2\/6)*123\/3.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -540 - -560. Solve 2*b = v - 24 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-70)\/(-42))\/(10\/24). Suppose -d + 525 = r*d. Suppose -6*n + d = -5*n. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -112*d**2 - 128 + 128 + 2 + 59*d - 7*d**2 - 23*d**2 + 29*d**2 + (-1 + 2 + 0)*(4*d**2 + d**2 - 3*d**2) in the form r + v*d**2 + f*d and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10723 + -10699. What is the highest common factor of 4596 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1048, 1055, 1066, 1081, 1100, 1123, 1150?\nAnswer: 1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 3:36 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-60)\/8)\/((-3)\/2). Factor 26 - 105*z + 24*z**2 + 4*z**3 + 3 - n + 149*z.\nAnswer: 4*(z + 1)*(z + 2)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(114) - (sqrt(114) + 6*sqrt(114))))\/sqrt(6).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 21 = u - 6*u, -2 = b. Suppose -2*s + s = 2*t + 1, 0 = s - 2*t - 3. Sort s, 2\/5, u.\nAnswer: u, 2\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 70282182?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 182 + -182. Suppose -s - 35 + 43 = b. Suppose -4*j = -j - 3*z - 54, -3*z - 94 = -5*j. What is the lowest common multiple of s and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-51661)\/(-3) - 1\/3. Suppose -3*j + 4*q - 23640 = 0, -3*q - 22236 = 3*j + 1404. Let s = j - m. Round s to the nearest one thousand.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 215 + -88. Suppose s = c + 17. Suppose 5*z + 80 = 5*m, -5*m + z + c = 2*z. What is the highest common divisor of m and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 181 + -99. Let i = q + -151. Let k = i + 103. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41860 and 12600?\nAnswer: 3767400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -819 divided by -13178.\nAnswer: 819\/13178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -386 - -381. Let m = -18 + 16.6. Which is the smallest value? (a) m (b) j (c) 3 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 12 - 4. Find the common denominator of (-611)\/42 - (78\/(-21) + 4) and (59\/l)\/((-9)\/(-6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 3) in base 4?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1137108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 - 137567*l + 3990284.\nAnswer: -(l - 29)*(l + 137596)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*q**2 - 8*q**4 + 25 - q**2 + 82 wrt q?\nAnswer: -32*q**3 + 22*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 855223473 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 7744440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 55*x - 727. Let o be q(32). Solve -2*i - o = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/32*2 + (-1621680029)\/(-232). Round z to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46452958 is divided by 720.\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13766*k**5 + 54850*k.\nAnswer: 275320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 588749 to the power of 1\/2, to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 258*m - 337?\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -6*a**4 - 2*a**2 - 2*a + 2. Let t(k) = 24*k**4 + 9*k**2 + 8*k - 9. Let z(q) = -2*t(q) - 9*w(q). What is the second derivative of z(r) wrt r?\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 4*f - 3 + 9, 5*f = -o + 7. Let j = 73 - -3. Suppose 4*u - j = -4*d, -o*d = -1 + 3. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0, 5, -23.92, -28\/11, -4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 62*b - 19*b**3 - 62*b + (5*b + 7*b + 6*b)*(3*b**2 - 5*b**2 + 5*b**2).\nAnswer: 35*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2790963?\nAnswer: 3, 7, 14767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10231 (base 6) to base 8\nAnswer: 2553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 <= 4213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -106 divided by -55\nAnswer: 106\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2350*w - 7*w**2 + 2350*w. Let m(d) = 5*d - 1. Calculate m(f(i)).\nAnswer: -35*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (12 + -6 + -26).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 259 and 931549?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -17, -52 in descending order.\nAnswer: -17, -26, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6636.80076027 + -6636.8. Round y to 6 decimal places.\nAnswer: 0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-138)*(-126)\/(-8)*376\/564?\nAnswer: -7\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - 22\/(-6))*2 - 412\/12. Let y(k) = -3*k**2 - 104*k + 37. Determine y(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {i: 7, r: 6}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3016 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -31*g**2. Let r(o) = 4 - 3 - o**2 - 1. Calculate r(a(f)).\nAnswer: -961*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 5. Suppose 0 = f - d*f. Suppose f = o - 6*o. Solve o*j = -5*x + j + 4, -x + 4 = -j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13, 20, 47, 106, 209, 368?\n\"Answer: 2*i**3 - 2*i**2 - i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.811 + 2.811. Suppose 3*s + 9 = -0*s. Suppose -2*w + 4*u = -16, 4*w - 14 = -u + 3*u. Which is the closest to q? (a) s (b) w (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1492760606.99999986 + 1492760619. Let y = 0.7 - -11.3. Let b = m - y. Round b to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -10*b**3 - 2*b - 10. Let h(r) = 40 + 0*r**2 + 0*r**2 - r**3 - 41. Calculate -8*h(g) + m(g).\nAnswer: -2*g**3 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 42*g + 17. Suppose -2*f - 25 = -7*f. Suppose -q = -10 - f. Is u(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - 0. Let k = 2.2 - 0.2. Let m = 0.1 + -0.05. Which is the nearest to -1\/2? (a) d (b) m (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.427 - -196.427. Is s > -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/((-86130)\/51898) - 6\/(-1*2). Which is greater: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llhhhsslh. Give prob of sequence hs.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = s + 5*o, 2*s - 3*s = -3*o - 15. Let d be (s - 16)*(-2)\/(-1). What is the smallest value in -1\/7, 2\/7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 2\/3*d**3 - 13 + 0*d**2 + 1\/2*d**4 - 1\/3*d**6 - 2\/5*d**5 + 0*d. Find l, given that a(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -801 - -809. What is the greatest common factor of c and 376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q + 6. Let t be f(2). Suppose -7*z - 6 = -t. What is the second derivative of -9*k**2 - 19*k - k**2 - k**z wrt k?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14013060?\nAnswer: 2, 3, 5, 233551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1216)*2 - sqrt(1216))*4 + 2 + -1 + sqrt(171) + -5.\nAnswer: -3 + 35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9548190 divided by -30\nAnswer: 318273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9543470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 209\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8154441 divided by -9.\nAnswer: -906049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 11:13 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 140706656?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.01 (b) 1162 (c) 4 (d) 3 (e) 8 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-598)\/130 + 2\/(-5) - -138 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(288) + -1*sqrt(288) + 4 - sqrt(288))*-5 - (1*sqrt(288) + 5 - (sqrt(288) + -5*sqrt(288)*-2)))**2.\nAnswer: -18000*sqrt(2) + 130850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 286 + -143. Suppose -o = -3*h - 38. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2 = -2*p, 5*p = 2*q + 6. Suppose 0 = 2*g - 8 - 0. Let c = 105 + -104. Solve -o = h, -g*h - q*o = 3 + c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 4 (c) 0.1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105 + -85 - (8 + (-3 - -3) + -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1073 and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 607*y + 7321 - 37 = 0 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbg when three letters picked without replacement from bnnngbnng?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*d - 17*d + 40*d - 23*d.\nAnswer: -31*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g**2 + 7*g**2 - 2*g**2)*((-2*g - g + 5*g)*(-2 + 0 - 1) - g + g - g) to the form d*g**3 + z + i*g**2 + r*g and give d.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14086, 12923, 10986, 8275, 4790?\nAnswer: 531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 232\/3*l**3 + 309 + 295*l + 0*l**2. What is the derivative of g(m) wrt m?\nAnswer: 464*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -0.2, 141\/2, 1\/14078?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14883 != 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/67)*x**(-3\/2) assuming x is positive.\nAnswer: x**(-197\/134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 25231.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 8*i + 5. Let n be f(7). Suppose -9*p + n = -7*p. Solve -4*x - p = 14 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 3. Let v = 11 - 6. Find z, given that z - z - v*z**2 + 3*z**2 - g*z = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 37*t - 11. Let p be d(3). Suppose -186 = -4*k - 26. What is the greatest common factor of k and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 2)*(3 + 9*o - 3) - 5*o + 2*o + 2*o + (2 - 1 + 1)*(o + 0*o + o) + 1 - 1 - 2*o - 3*o + 2*o - o + (-2 + 2 + 1)*(-o - o + 0*o).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8\/3*(-13320)\/(41144\/(-139))\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 - -35. What is the nearest to -0.1 in c, 2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-7) - 5\/(70\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (26 + -6)*3\/6 and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*w - 22. Let u(p) = 7*p**2 + p + 5. Let j(s) = 192*s**2 + 3 + 0 - 5 - 195*s**2. Determine w*j(b) - 2*u(b).\nAnswer: b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4 + 1820\/(-1352)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**4 - 6318*w**3 - 5049120*w**2 - 93666200*w = 0 for w.\nAnswer: -1570, -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**5\/540 - 13*n**4\/108 + 169*n**3\/54 - 2*n**2 + 1354*n. Let o(t) = 0. Calculate t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -530*h**2 - 13*h**2 - 139*h**2.\nAnswer: -682*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 20. Let g be 0\/(5*d\/(-15)). Solve g*a - 4 = -a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 0*l**6 + 0*l**2 - 3\/14*l**7 + 38\/3*l**3 + 1\/3*l**4 + 0*l**5 + 9*l - 5. Find the second derivative of n(i) wrt i.\nAnswer: -180*i**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*s**2 + 448*s**2 - 112*s**2 - 114*s**2 - 115*s**2 - 10*s**3.\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 19*j**2 + 42*j + 3. Let f be s(21). Suppose l + 11 = 3*r - 3*l, 0 = f*r + l + 14. Let n(g) = -6*g - 1. Determine n(r).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 3:10 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -4 (b) -3 (c) -4674\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -911 + 1772 = -2*w + 949 for w.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 56*m**2 - 18*m**2 - 49*m**2 + 53*m**2 + 93*m**2. Let a(u) = u**2. Give a(l(q)).\nAnswer: 18225*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d - 96*d = -80456. List the prime factors of d.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15898 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/247 - 1145\/38779. Which is bigger: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12318 a factor of 3386092518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.08 + 0.12. Let w = -3\/7 - -68\/175. Let y = -21\/25 - w. Which is the nearest to -0.1? (a) 5 (b) z (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u**3 - 3*u**2 + 2*u - 2. Let b = 11 + -8. Suppose -y = g + 1, 4*g + 10 = b*y - 8. Is p(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -557 + 476. Let q = k + 90. Suppose 3*b - 318 = -21. Calculate the greatest common divisor of b and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13923000 to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = o - t + 69, 3*o - t + 217 = 0. Let m = 313 + o. Suppose 34 = -5*x + m. List the prime factors of x.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3 + 5 - 2*l)*(2 - 2 + 2)*(2 + 4 - 5)*(3 - 3 + 1).\nAnswer: -4*l + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-2)*(-5)\/(-5)*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 2*p + 7*p = 10, b = 131576*p - 131574*p - 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7152170, 14304345, 21456520, 28608695, 35760870?\nAnswer: 42913045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44883 + 14653. What is k rounded to the nearest 100?\nAnswer: 59500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 r when three letters picked without replacement from grggvrg.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1620 and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/(2496\/(-442)))\/(2 - (-2)\/(50\/(-45))).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -881*t**2 - 7056*t - 196. Calculate l(-8).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, 1\/5, 3, 7 in decreasing order.\nAnswer: 92, 7, 3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0208935687 rounded to six decimal places?\nAnswer: -0.020894","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(110)\/(sqrt(11)*1)) - (4*sqrt(6)\/sqrt(3)*-4)**2 - (-1 + sqrt(216)\/sqrt(48) + -5)**2.\nAnswer: -1105\/2 + 19*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(1*sqrt(5200) - sqrt(5200))*3)\/(1*sqrt(16)*-5 + sqrt(16) + 2*sqrt(144)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 68 = -4*t, 2*t = 5*b - 2*t + 412. Let o be -2 - (-10)\/(10\/(-117)). Let y = b - o. Is y a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17292868\/23 - 752036. Let d = -6866801\/39882 - b. Let m = 36689\/3468 - d. What is the common denominator of m and -35\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*r - 7238 = -6*r. Let p = 118 - r. Calculate the greatest common factor of 340 and p.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**3 - 38*k**2 + 2*k - 1. Let v be h(-19). List the prime factors of 8 + 318\/v + 14850\/26.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 3619.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18402442.\nAnswer: 2, 9201221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4113646 = -4*q + 17806354. What is q rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59 + 39. Let r = 3.990159 + 0.009841. Which is the third smallest value? (a) 0.3 (b) r (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 35793*h**2 - 107366*h**2 - 3 + 35790*h**2 + 35787*h**2.\nAnswer: 4*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4373193, -8746347, -13119501, -17492655, -21865809, -26238963?\nAnswer: -30612117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 157, -90, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (216\/(-150))\/6*485\/(-97)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2365186.52 minus 1.324?\nAnswer: -2365187.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.26 + 0.04. Which is the second biggest value? (a) -5 (b) s (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29 and -0.139.\nAnswer: -4.031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3700, 11\/2, 1.2?\nAnswer: 3700","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 7332\/17 (c) 2\/5 (d) 8\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x + 0*x**2 - 2*x**2 - 2*x + (x - 2*x - 2*x)*(2*x + 7*x - 3*x) as o*x + k + t*x**2 and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 6*p**2 + 2*p + 2. Let m(d) = -8*d - 7*d - 1 + 2 + 16*d + d**2. Give -b(v) + 5*m(v).\nAnswer: -v**2 + 3*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 7, r: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 i when two letters picked without replacement from mimpoiv.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -54. Suppose -55 = -l*k + 9*k. Is k <= 55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wsxshxswhsssw. Give prob of sequence wh.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -3 - -6 - (-48)\/(-936)*78?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305325095 to the power of 1\/2, to the nearest integer?\nAnswer: 36129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0050150464 rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 7 + 18 - 42 + 4 + 8. Let b be -6 + 2 + (-1)\/(-1). What is g(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 800 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 12. Suppose w - 2*w + r = 0. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1099 and -2?\nAnswer: 1097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15207415?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 760.0841kg in micrograms?\nAnswer: 760084100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -0.24 (b) 4\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -168, -339, -510, -681, -852, -1023?\n\"Answer: -171*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(1\/4)\/(35\/(-70))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 212.63 - -26.47. Let h = -15 + 279. Let y = k - h. What is y rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c**3 + 2*c**2 - 2*c - 3. Let f(j) = 9*j**3 + 3*j**2 - 4*j - 5. Let o(l) = -4*f(l) + 7*y(l). What is o(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4)*u**8)\/(u**(1\/4)*u)**(-50))\/((u**1*u)**49*u\/(u**(1\/4)\/u)*u**(-2\/25)) assuming u is positive.\nAnswer: u**(-3317\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agndagagqwdaddgdddw. Give prob of sequence qg.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((((sqrt(77) - (sqrt(77) + 1*sqrt(77) + sqrt(77) + sqrt(77))) + sqrt(77))*1)\/(sqrt(44) - -2*sqrt(44)) + 4)**2.\nAnswer: -8*sqrt(7)\/3 + 187\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -d + 3*d. Let q be ((-1)\/((-5)\/(-4)))\/((-8)\/20). What is the greatest common factor of q and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 113*m + 35*m**2 + 130*m - 244*m)*(-m + m**2 + m) to v*m + a*m**2 + w + z*m**3 + p*m**4 and give p.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125)*-1 + 4)*-3*-4 + (6*1*sqrt(125) + sqrt(125))*6 + 5)**2.\nAnswer: 15900*sqrt(5) + 115309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -478, -975, -1476, -1981, -2490, -3003?\nAnswer: -3520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 3*v + 9. Let k be t(0). Solve k = 4*m + 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 55*r**3\/6 + 17*r**2\/2 - 3*r. Is a(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*y**2 - 20*y - 11*y + 31*y to the form m*y**2 + b*y + z and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*h**2 + h - 45*h**2 - 49*h**2 - 58*h**2 to the form b + v*h + y*h**2 and give y.\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 926 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176, 190, 238, 338, 508, 766, 1130, 1618?\nAnswer: 2248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17\/10 of a gram?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12\/623 + -457\/623. What is the closest to w in 2, -1\/2, -4\/7, 2\/15?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.05 (b) -0.043 (c) 2\/3 (d) 165 (e) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngg when three letters picked without replacement from {g: 6, n: 2}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2 + (-3)\/(-2)). Let q(n) = n**3 + n**2 + n. Calculate the remainder when q(o) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 3:27 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 43836\/127855*(-10)\/(-468)?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11232033111 (base 4) to base 3\nAnswer: 2211012202220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 8 - 8. Suppose 0 = -3*w + w + 5*l + 98, f*w = -4*l + 252. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 2*s = 8, -3*s - 1 + 9 = 2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87 and 376269.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -15*u**3 + 6*u**2 - 7. Let q(d) be the second derivative of 0*d**3 - 2*d**2 - 2\/5*d**5 - 23*d + 1\/4*d**4 - 5. Give -4*a(n) + 7*q(n).\nAnswer: 4*n**3 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 + 6*m + 1. Let w be g(-5). Suppose 0 = 2*p - 4*q - 64, p - 3*p = -3*q - 61. Let n = p - w. Solve 4*o + n*v = 8, o - v + 2 = -5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 7. Let j(c) = -c - 12. Let h(o) = 4*j(o) + 7*n(o). Let s(x) = 5*x + 2. Let q(p) = -3*h(p) + 2*s(p). Calculate q(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.43314.\nAnswer: -1.73256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151, -148, -971, -2582, -5245?\nAnswer: -9224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2418.5 + -3685.2. What is x rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - -8) + (-4)\/2. Suppose -4*v + 4*i = -2*v - 402, -4*i = -5*v + 1005. Let n = -198 + v. Solve -3*y = -2*c - n, 4*c + b = -y + 16 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 49\/(-14)*36\/(-15)*5. Let h(n) = -6*n - 2. Let l be h(-5). What is the greatest common factor of l and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*90\/30\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/2376*-18*(-66)\/(-451)?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*i + 2*q, -2*q + 6 = -0. Solve -i - 8 = -d + 3*h, d + 18 = -3*h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 times 159?\nAnswer: -21465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1640 and 1567840.\nAnswer: 1567840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 10*t**2 + 18*t - 33. Let z = -12 + 19. What is the remainder when z is divided by p(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 104*a*k**2*n*q + 8*a*k**2*n - 2*a*k*n*q - a*n*q - 4*a - 31*k**2*n*q - 546*n*q wrt k.\nAnswer: 208*a*n*q + 16*a*n - 62*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3884715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 220 + -64. Let n = r - 90. What is the tens digit of (2\/4)\/(3\/n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6559499.3 rounded to the nearest one thousand?\nAnswer: -6559000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 2*o**2 - o. Let z be v(2). Let g = -3296 - -2035. Let b = 1265 + g. Sort b, 0, 18, z in descending order.\nAnswer: 18, b, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85 + 129. Let f = n + 10. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1194609 >= -3583825\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + -1)*6 - 1*sqrt(475)) + 3 + 0 - (sqrt(931) + 6*(0 + sqrt(931)) + (-1*sqrt(931) + sqrt(931))*-1)**2.\nAnswer: -45622 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 + 1422992*b - 8537988.\nAnswer: (b - 6)*(b + 1422998)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -8\/3, -47, 0.06, 0.1, 90, 1\/9?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 16*v - 37. Let d be q(-11). Let y be -4 + -8 + 42 + 6. Calculate the highest common divisor of y and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-6 - (2 + -10)) + -6 - -8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.87447 (b) -2 (c) 0.3 (d) -2\/15 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 220628*o**2 - 1495645 wrt o?\nAnswer: 441256*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.1 + 0.1. Let o = -34 + 34. Which is the smallest value? (a) 3 (b) u (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*l + 213 = 303 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2 = 4, -392 = -2*f + 4*v. Calculate the greatest common divisor of f and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3166850 rounded to the nearest 10000?\nAnswer: 3170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*t)*(2*t - 5 + 5)*(-97 + 49 - 129*t + 51 + (-4 + 1 + 1)*(2*t - 5*t + 0*t)).\nAnswer: 492*t**3 - 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 + -4 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*a + 83*a = -21*a - 76*a + 3240 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/1004 and -63\/8.\nAnswer: 2008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-270*m - 718*m + 205*m)*(-2 + 17 - 10) in the form o*m + c and give o.\nAnswer: -3915","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9\/1298 + -1972\/649. What is the common denominator of 47\/1208 and c?\nAnswer: 13288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-162)*(((-5814)\/288 - -3) + 17)\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 283779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + b + 2. Let g be k(0). Suppose g*j = 3*j - 39. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 26, 6, 0, 3, 1, 5 in increasing order.\nAnswer: -3, 0, 1, 3, 5, 6, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x**4 - x**2 + x**2 + 31*x**4 + 35*x**4 - 40*x**4 + (-1 + 2 + 0)*(-4*x**4 + 4*x**4 + 2*x**4) to l*x**2 + g*x + f*x**4 + q*x**3 + d and give f.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/2 + 2 - ((-71820)\/(-15))\/(-14). Calculate the greatest common divisor of j and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*w - 18. Let u = -20 - -25. Let x be -2 - -2 - (w + u). Solve 4*h - 1 + 3 = 2*g, -x*h = -5*g + 10 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -33. Solve j*h + 2*h = 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 3\/2*t**2 - 3 + 1\/12*t**4 - 2*t + 0*t**3. Let i(v) be the first derivative of p(v). Differentiate i(j) with respect to j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 1095807, -2\/11, -4, 6?\nAnswer: 1095807","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -q + 5*m + 45, -q + 4*m = -182. Suppose -q = 2*u + 144. Let l be u\/(-33) + 6\/(-33). Solve 4*k + 0*k = -16, 5*f - l*k = 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in grams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 6*n + 7. Factor -2*q**n - 28*q - 35*q**2 - 3*q**3 + 28*q.\nAnswer: -5*q**2*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (6 - -1) - (1 + 1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1562 + -728. Let p(v) = -2*v**3 - v**2 - 59*v - 217. Let t be p(-7). Is d greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + y**2 - 7. Let w be o(0). Let l(k) = -40*k - 641 + 647 + 95*k + k**2 - 49*k. Give l(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1437003 (base 10) to base 11\nAnswer: -8a1707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 6\/(-4))*-12. Suppose 2*y = 5*i - 9, -5*i - 3*y + a + 6 = 0. Suppose k + 5*g + 19 = 0, 0 = 2*k + 2*g - i + 1. Solve -3*m + k = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 1370.\nAnswer: 4110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2)*x)\/((x\/x**(-5))\/x))**(-4\/7) assuming x is positive.\nAnswer: x**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwww. Give prob of sequence www.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -41*r + 1158. Let n(i) = 98*i - 2896. Let m(d) = 12*c(d) + 5*n(d). Let g(j) = -j**2. What is g(m(t))?\nAnswer: -4*t**2 - 2336*t - 341056","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -546*y**2 - 839*y?\nAnswer: -1092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t = -86 - 40 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 616 + 616 = 11*r. Calculate the highest common divisor of r and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 38, 41, 44, 47, 50?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 11*z**2 - 5*z - 3. What is the remainder when o(4) is divided by ((-82)\/4 + 1)*(-398)\/199?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, -117, 4, 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjbjjjjnsjsjjjsjjnj. Give prob of sequence nnjb.\nAnswer: 13\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -32?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 greater than or equal to -185\/54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((-3 - 0) + (-7 - -17))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*t**2 + 3*t**2 - 3*t**2)*(5 - 4 + 1) + 5*t**2 - 6*t + 6*t)*(25 - 6 + 4) as p*t**2 + f*t + d and give p.\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -6, -0.5, -1\/9, 78, -0.3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/4)\/((-3)\/(-4)). Suppose 0*t - j*t + 12 = 0. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -38*t + 59 + 461 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*-1*1)\/(3*sqrt(160)).\nAnswer: -sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c**2 + 7*c - 7. Let v be 7*4*9\/36. Let h(t) = -2*t**2 + 4*t - 4. Let m(z) = v*h(z) - 4*k(z). Let o(q) = 14*q. What is o(m(s))?\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02 equal to 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14673*0.3.\nAnswer: 4401.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 92271.58 to the nearest 10.\nAnswer: 92270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 13*z**2 + z - 4. Let w be i(12). Round w to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*v + 43*v - 21*v)*(0*v**2 + 4*v**2 - 5*v**2).\nAnswer: -73*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23312286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1561*w**3 + 11*w**2 - 11*w**2.\nAnswer: 1561*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - -110?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((3*(sqrt(11) + 0) + sqrt(11) - (sqrt(2156) + sqrt(44)))**2 - ((4*sqrt(198))\/(sqrt(10)\/sqrt(20)))**2).\nAnswer: 9504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/(-10))\/((-5)\/50). Let b = -5 - l. What is the remainder when 20 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 579 + 190 = 4*i, 0 = -4*i - z + 763. Let s = i + -389\/2. Is s smaller than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.6 - 2303969.68?\nAnswer: -2303963.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 25597*-14.188.\nAnswer: -363170.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 41*m**2 - 58*m + 246. Is 67 a factor of l(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 3\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 314 + -309. Solve -q = -0*b + 5*b - 19, 2*b - 3 = -p*q for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -175 + 510. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*(-1 + sqrt(12))**2*-2*-2.\nAnswer: -56 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03005 + 238.06005. Let n = -236 + s. Let l = 2 - n. What is l rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -5*m**5 + 70*m**4 - 290*m**3 + 280*m**2 + 295*m - 350 = 0?\nAnswer: -1, 1, 2, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-3)\/9))\/((-558)\/124).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -73245, -77873, -82505, -87141?\n\"Answer: -2*b**2 - 4622*b - 68621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147559929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 divided by -27?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (0 + sqrt(19)))*6*4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2387*b**4 - 53*b*o**2 - 2*b*o - 14379826*o**2 with respect to b.\nAnswer: -9548*b**3 - 53*o**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g + 4416 = -1182. Let x = 382 + g. Suppose 55 = 4*l - t - 84, -2*l + 52 = -4*t. Calculate the remainder when x is divided by l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(15288\/9751) - 15\/(-1).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*q + 192. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -98*o**5\/5 + 19544*o**4\/5 + 31086*o**3\/5 - 26428*o**2\/5 - 20888*o\/5 - 3216\/5 = 0?\nAnswer: -2, -2\/7, 1, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230615360.\nAnswer: 2, 5, 577, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2089657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - i + 1. Let z be f(2). Suppose -z*q + 180 = -2*q. Is 18 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 + 14 = -3*l - x, -4*l = 5*x - 45 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -x + 748, -6*q + 5*x = -5*q - 760. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 726 (base 16) to base 7.\nAnswer: 5223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g. Let p be 5 + ((-6)\/(-3) - 5). Let m = p + -9. What is the units digit of c(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 862 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/15006 and -3\/656?\nAnswer: 120048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2889075, -5778172, -8667269, -11556366, -14445463, -17334560?\n\"Answer: -2889097*s + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -199 - -199. Suppose 8*o - 66 - 62 = h. What is the remainder when 44 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -3, 4, 0, 6665 in descending order.\nAnswer: 6665, 23, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12215 and 120432571?\nAnswer: 2443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzii when four letters picked without replacement from kiiz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.43, 766, -3?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (9 + -2)) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49\/310 - 8673\/6820. Let q = 7\/2316 - -11831\/12738. What is the common denominator of q and d?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*n - 4*l + 4, -4*n = -3*l - 36. Let g be (2 - 16\/n)\/((-40)\/300). Suppose -4*j = -g*o - 7874 + 951, o = 3*j - 5184. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 2071?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 197075\/5 - (-9 - (-5 - 0)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 26 = -3*n, 71 = 2*m + 4*n + 45. Let v = 16 + -14. Let u = -2 + 1.8. What is the third biggest value in u, v, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/13 (b) -4 (c) -0.5 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30823.1 years to decades.\nAnswer: 3082.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.04 (b) 30 (c) -9 (d) -0.49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from {m: 2, z: 2, t: 1, x: 1, u: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -3484393.81 to the nearest 10000.\nAnswer: -3480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*(sqrt(35)\/sqrt(175) + sqrt(80) + -2 + sqrt(80)).\nAnswer: -41*sqrt(5)\/5 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, t: 1, j: 2, x: 1, s: 1}. Give prob of picking 1 t and 1 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 20 + 5. Suppose -a + 443 = -c*o, -3*a - 2*a = 5*o - 2255. Let t = -314 + a. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 1. Let a be g(-1). Put a, 4, 2 in descending order.\nAnswer: 4, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + -5 + (-4)\/(-46). Let b = j + 19\/46. Let k = -0.0485 - -4.0485. What is the nearest to 0.06 in k, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y\/(y*y**(-2)*y)*y)\/y*y*y*y)*y**(10\/7))**(-3\/7) assuming y is positive.\nAnswer: y**(54\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*u**3\/3 + 214*u**2\/3 + 370*u + 126 = 0. What is u?\nAnswer: -3, -7\/19, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rzrjrrijirillzivzrz. What is prob of picking 1 l, 2 v, and 1 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*q - 12 - 6 = 0, -c - 3*q = -11. Find y, given that 11*y**2 - 2*y**2 - 3*y**4 - 18*y + 3*y**c + 9*y**2 = 0.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 793*o**2 - 71*o + 255. Is v(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -0*h + 2*h. Let n = -7 + 4. Let b(l) = -l**3 - 2*l**2 + l. Calculate the remainder when h is divided by b(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/25 + 4\/10. Suppose -3*r + 9 + x = 0. Let z(w) = -w**3 - 14*w**2 + 26*w + 165. Let f be z(-15). What is the closest to 0 in -5, r, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*i + 40, 11 + 2 = 2*i + 5*d. Let f(o) be the first derivative of -o**4\/4 - 7*o**3\/3 - 4*o**2 - 7*o + 3. Determine f(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -239*i**8\/56 - i**7\/21 - 109*i**4\/4 - 3*i**2\/2 - i + 1781. What is the third derivative of o(h) wrt h?\nAnswer: -28680*h**3 - 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92 + 95. Solve -a*f = -6*f + y - 6, -4*y - 12 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420366222?\nAnswer: 2, 3, 19, 1229141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*b**2 - 72*b**2 - 3*b**3 - 65*b**2.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z - 2*z + 5*z. Let h(b) = b. What is k(h(c))?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176, 165, 132, 65, -48, -219?\nAnswer: -460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15205?\nAnswer: 5, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 331609712 and 16.\nAnswer: 331609712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 44669017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 93680143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 3*g**2 - g - 35. Suppose 0 = -z - 12 + 40. Calculate the remainder when i(-4) is divided by z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2003 (base 4) to base 7.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87 + 84 + 551*a**2 + 2*a**2.\nAnswer: 553*a**2 + 171","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/8)\/((-99)\/(-72)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252252203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 y when four letters picked without replacement from xyyiixyyixyiy?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*b + 8*b + 266805 = 30*b. Which is smaller: 4236 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1560*z = -1484*z - 152 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -111*o - 83. Determine y(-2).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30342 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-166*r + 19100*r**2 + 435*r - 9552*r**2 - 9549*r**2)*(r + 0*r + r).\nAnswer: -2*r**3 + 538*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-19) - (-54540)\/(-7676) - (-18)\/2. Solve -z = -c - v, c + 7*v + 1 = 9*v for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 2*j + 12 = 0, -5*a - 4*j - 7130 = -7094 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(352\/129380)*-76422. Let n = -56188661 + k. Let z = 9811 + n. Calculate the common denominator of z and 133\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 207\/2, -4, -0.04 in descending order.\nAnswer: 207\/2, 0.1, -0.04, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 8*u**2 - 3*u + 14. Give q(-9).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -94*h + 136 + 87 + 141*h**2 + 2*h**3 + 94*h wrt h?\nAnswer: 6*h**2 + 282*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -348 + 408. Calculate the least common multiple of n and 54.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -8. Suppose -2*x - 1 + s = 0. Solve h - 4 = x*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 20*o + 5 - 29*o + 4*o**2 + 13*o - o**3. Let p be (4\/(-6))\/((-2)\/15). Give i(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of r**2\/2 + 4*r - 1. Let t be p(-4). Let i be t + 1 + -3 + 5. Which is greater: i or 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -244, 3, -2 in descending order.\nAnswer: 3, -2, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 3046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2 + 35*j - 2 to y + r*j and give r.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in 4439, 141, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3409288527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 8:15 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6870.030039 - -6870.41. Let p = -0.38 + m. What is p rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/4)\/x**(5\/6))\/((x\/((x*x**(1\/3))\/x))\/(x\/x**(1\/2))) assuming x is positive.\nAnswer: x**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*n - 142*n = -27. Solve 5*d + 4 = n*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 131, 343, 557, 773, 991, 1211?\n\"Answer: i**2 + 209*i - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*u - 11*u + 7*u + 19*u to the form d + h*u and give h.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 11*s**2 + 184*s + 178. What is the units digit of p(-27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -172\/7, 285 in ascending order.\nAnswer: -172\/7, -5, 285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 43*r**2. Let a(d) = 5*d**2. Give a(q(n)).\nAnswer: 9245*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by (5\/(-10))\/((-884)\/(-296) + -3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6289 by 6289.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 0 - -9) + 0 + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 3*r - 11 = 0, 9*q + 5*r + 15 = 4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 - 55. Suppose -k*q + 4*q = 631. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1, -7, -13, -19?\n\"Answer: -6*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 114346 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -17*q**7\/210 + q**6\/10 - 362*q**3\/3 + 535*q**2. Differentiate l(i) with respect to i.\nAnswer: -68*i**3 + 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 0 - 11)*(h - h - 2*h)*(0 + 0 - 2).\nAnswer: -76*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 5 + -3 - (4 - 33 - -36)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4)*-2)\/((420\/(-728))\/(-15))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -561, -1123, -1699, -2295, -2917, -3571, -4263, -4999?\n\"Answer: -b**3 - b**2 - 552*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -547000.9879 - -546773. Let j = 0.0121 - l. Which is smaller: j or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.98 - -1.38. Is b < -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 12:43 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 74, 80, 86, 92?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/8)\/(30\/12).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -572\/3 + 192. Let p = 5.4 + -0.4. What is the closest to 2 in p, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5270400 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43.58 - 43.98. Let h(s) = s**2 + 12*s + 16. Let m be h(-11). What is the fourth biggest value in m, d, 2\/21, 3\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 704812 and 506?\nAnswer: 7752932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*3*(4 + 5*(sqrt(539) + -1)*-5 + -1 + 5 + 0 + sqrt(539)).\nAnswer: -297 + 1512*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/216 and -79\/1584.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -12*(-2 + (-1)\/(-1)). Suppose -32 = -2*t + 4. What is the greatest common divisor of t and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40620006 divided by 6\nAnswer: 6770001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/6 - 574\/(-3). Let o be 8056\/342 - (-4)\/9. Calculate the highest common divisor of b and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 112, 206, 308, 424, 560, 722, 916, 1148?\n\"Answer: t**3 - 2*t**2 + 93*t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2, 112, 584, 1658, 3574?\n\"Answer: 40*t**3 - 59*t**2 + 7*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -31ab96a7?\nAnswer: 31ab96aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/5 and 121\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -5*q. Suppose -4*i + 12 = q, -4*i + 17 = 2*k + 3*k. Let j = 0 - 0.1. Which is bigger: j or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 869642.4ml to litres.\nAnswer: 869.6424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/95)*g*g**(2\/81))\/(g*g*g\/((g*g**9)\/g)*g\/((g*g**(-5\/2))\/g)) assuming g is positive.\nAnswer: g**(53921\/15390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/(-105) - (-2 - 8\/(-7)). Which is the fourth smallest value? (a) -1 (b) -3 (c) o (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 6, -7, 17, -220 in ascending order.\nAnswer: -220, -13, -7, 6, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = 7*r + 5. Calculate the lowest common multiple of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 65, 66, 67, 68, 69, 70?\n\"Answer: s + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18045.9468ms to weeks.\nAnswer: 0.000029837875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (236\/(-59) - (-5)\/(-4))\/(15\/(-40)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1048 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6)*((-32604)\/133)\/143.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f = 34*f + 10*f - 408. Solve -526*x + b - f = -530*x, -5*b + 37 = 4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7595513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.95 + 0.85. Do -2\/21 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14406, -28814, -43222, -57630, -72038?\n\"Answer: -14408*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 9*h - 16. Calculate g(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2116, 0.054, 0.1.\nAnswer: -2116, 0.054, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(2\/13))*s*s**(1\/4))\/(s**7*s*s*s**2) assuming s is positive.\nAnswer: s**(-515\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 - 55. Solve 0 = x*a + 10 + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2103098?\nAnswer: 2, 1051549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 51 = 3*h - 5, -2*x + 10 = 5*h. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 7*u - 12. Let k be w(2). Let h be (54\/(-81))\/(k\/15). Solve -3*r = m - 1, -3*m - r + h*r = -3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 183*p - 358. Let h be u(2). Solve -3*z - 15 = 0, 0 = n + h*z - 4*z + 17 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 0, 94, 1, 2, -9 in increasing order.\nAnswer: -9, -5, -4, 0, 1, 2, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3861365 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-70)\/(-9) - (2 + -1). Let o be (-970)\/144 + (-2)\/(-6). Let l = a + o. What is the second biggest value in 2, -0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 638 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7)\/(-2))\/(2\/(-4)). Let y = p - -10. Suppose -3*b = -y*c - 4*b + 79, -c + 4*b + 22 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1117712.\nAnswer: 2, 69857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -11 (b) -0.74 (c) 3 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 34282.\nAnswer: 308538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/25 or -1801?\nAnswer: -1801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**4\/12 + c**3\/2 + 7*c**2. Differentiate a(w) wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 9:59 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.71 + -7. Let t = r - 2.21. Sort -1, 5, t in descending order.\nAnswer: 5, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*20\/600 - 11\/(-5). Let q(r) = 56*r**2 + 1. Let v be q(2). What is the second derivative of 225*l**h + 22*l - 8*l**3 - v*l**2 wrt l?\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -210?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/42*-3*(-8)\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1604 - -1609. Let q = -50\/3 - -17. What is the third smallest value in p, q, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -22 + (-721 - -738).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18*(6\/(-4))\/(-3). Suppose -h - 11 = -g. Suppose 5*q + 0*q = 10. Sort h, q, 0 in ascending order.\nAnswer: h, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 0*o**2 + 0*o - 2 - 1\/3*o**3 - 1\/4*o**4. Let w(n) = 2*n**3 - n**2. Give b(y) - w(y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**25*k)\/(k*k**18*k))\/(k*k*k**(-20)*k*k\/((k*k*((k\/k**2*k)\/k)\/k*k)\/k)) assuming k is positive.\nAnswer: k**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -19*j + 8. Let t(l) = -13*l + 6. Let c(r) = -2*a(r) + 3*t(r). Let b be -1 + (-7)\/(1 - 2). Calculate c(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n - 15. Let r be g(-10). Let u = 49 - r. Suppose -3*x + u = f, x = 3*x - 8. What is the nearest to f in 0.2, -2, 0.07?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 27307.9178 rounded to the nearest 100?\nAnswer: 27300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16 (b) -1925 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**5\/13 - 292*f**4\/13 + 1810*f**3\/13 - 2140*f**2\/13 - 1808*f\/13 + 2432\/13 = 0?\nAnswer: -152, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80252?\nAnswer: 2, 20063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 4*y**2 + 6*y + 7. Let s be n(-5). Suppose z - m = -0*m + 294, -2*m = -8. Let o = 318 - z. Solve 2*i + o = s*u, u + 2 - 7 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.068 + 0.568. Which is the nearest to 0.3? (a) f (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, p: 4, e: 1, g: 3, q: 1}. Give prob of sequence bg.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 4) to base 2.\nAnswer: 1000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/4)*o\/o**(1\/2)*(o\/o**(1\/4))**33)**(-20))**12 assuming o is positive.\nAnswer: o**(-6000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10789872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 12, -5*i + 4*i + 4*t + 26 = 0. Is (-2)\/21 + 5296\/i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8018 + -4805. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*v + 0 + 2\/7*v**4 + 48*v**2 - 172\/7*v**3.\nAnswer: 2*v**2*(v - 84)*(v - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/8 (b) -0.04 (c) 9\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 129183, 129177, 129171, 129165, 129159?\n\"Answer: -6*m + 129189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2507 + -1431. Let f = -1070.97 + u. Let q = f + -0.03. What is the closest to -2 in q, 2\/9, 1\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6104 and 5488.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -2060161?\nAnswer: -2060158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 11*i + 20. Let o be 1*(-23)\/4 + (-75)\/(-100). Determine r(o).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 7617*j**2 + 8218*j**2 + 4 in the form g*j**2 + w*j + h and give g.\nAnswer: 601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32271450?\nAnswer: 2, 3, 5, 215143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25785 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(63)*2)**2.\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -117*x**3 - 2299 + 4554 - 2255 + 33*x to j*x**2 + b*x + p + i*x**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 11:36 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**2\/7 + 662724*w = 0.\nAnswer: -1546356, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3574 + 4489.9. Round p to the nearest ten.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*n - 6. Suppose -2*s = s - n. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60861, 60857, 60853, 60849?\nAnswer: 60845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 7*g + 4. Let v be k(-7). Let b = -2 + v. Differentiate -3*z**2 + 5*z**2 - 2 - 1 + z**b wrt z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 14*h + 75. Calculate u(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/22, -0.014, -0.3?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -395a (base 11) to base 12\nAnswer: -2b8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**2 - 153*c**4 - c - 5 - 2*c**3 + 318*c**4 - 138*c**4 in the form u*c**4 + s*c**2 + q*c**3 + v + p*c and give u.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a. Let m(g) be the second derivative of 3*g**3\/2 + g**2\/2 + 12*g + 2. Determine i(m(t)).\nAnswer: 9*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 94384864.3007 + -94401670. Let k = b + 16820.7. Let x = k - 15. Round x to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 - -51.187?\nAnswer: 51.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7893 + -7879. Let z(c) = -2*c**2 + 28*c + 25. Calculate z(h).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32646 is divided by 2227?\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 60 = -15*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1567398, 1567394, 1567390, 1567386, 1567382, 1567378?\nAnswer: 1567374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g - 3. Let j be y(-2). Suppose 3*h = -6 - j. Let u = 0.3 + -0.7. Which is the closest to 0? (a) h (b) 1\/4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/17)\/q**(4\/5))\/(((q*q**(-11))\/q)\/q**(-10)))**(-3\/32) assuming q is positive.\nAnswer: q**(-21\/2720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 + 0 - 4*k + 5*k**3 + 1 - 4*k**3. Let q = 1463 - 1467. What is x(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -818598 minus -664630?\nAnswer: -153968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3920\/3 + 11762\/9. Which is the third biggest value? (a) 3\/4 (b) 2 (c) 0.5 (d) -27 (e) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 681 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3468 at least 3471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 1:58 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1))**(-31)\/((a\/(a\/(a\/(a*a\/(a*(a**(1\/4)*a)\/a))*a)))\/a)**(-1\/35))\/(a**(1\/2)*a**4*a)**(-6\/13) assuming a is positive.\nAnswer: a**(61053\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 5*g**2 - 39*g - 252. Calculate t(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 91118*m**3 - 81164*m wrt m.\nAnswer: 546708*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n**2 + 3*n**3 + 3*n + 522 - 520 - 2*n**3. Let u be p(3). Suppose -u*c = 4*x - 12, -c = 3*c + 4*x - 16. Solve 0 = c*m - 5*m + 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -12, -80, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-84)\/(-44) - 6\/66.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*((-19)\/(-8) + -2). Let v = 3920 + -3915. Put -0.2, -4, m, v in decreasing order.\nAnswer: v, m, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -442157.\nAnswer: 3\/442157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 4. Let o = 2 + 13. What is the common denominator of 39\/8 and ((-366)\/k)\/(1*o)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.01 (c) -0.2 (d) -3\/9176\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110101001011 - -10100001?\nAnswer: 111110111101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-3)\/(-78)*2.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 18. Suppose 2*z = -3*z + 10. Suppose -5*w + z = 5*t + 22, -5*w + 3*t - 52 = 0. Is y(w) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37895804*h*u**4 - 64*h - 714159 wrt u.\nAnswer: 151583216*h*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-168)*0*(-2)\/(-4). Let f(g) = -4*g**3 - 4 - 6 - 8*g**2 + 5*g**3 + 9*g. Let s be f(7). Put b, 1, s in descending order.\nAnswer: s, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -168 in descending order.\nAnswer: 1, -2, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -6*n + 73. Find w, given that -2*w**4 - 2\/3*w**2 + 0 + 0*w + 2*w**3 + 2\/3*w**n = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 75, 158, 243, 330, 419?\n\"Answer: r**2 + 80*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**4 + 108*y**3 + 6183*y**2 + 43512*y + 82800 = 0. What is y?\nAnswer: -25, -4, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**3 - 344*g**2 + 37*g + 6354. Determine f(-172).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1072 - 965. Which is the smallest value? (a) 0 (b) t (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*w**3 + 24*w**3 + 15*w**3 + 13*w**3.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/1*(4\/(-4) + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.2 (b) -0.4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 6*k - 60. Let i = 28 + -31. Let v be (i - 2)*((-4)\/5 - 0). Solve 0*p = -5*p - v*x + k, 10 = -5*x for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11 - (1 - 13)\/3. Let y be 6\/n*(2 - -3). Let u = -79.12 - -79. Which is the second biggest value? (a) u (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-5*((sqrt(33)*-3)\/sqrt(11) - (sqrt(27) - sqrt(135)\/sqrt(5))\/sqrt(9)).\nAnswer: -90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 53*m**2 + 99*m + 2465. What is d(-54)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 3)*(1 + 28*i**2 + 2*i + 0*i**2 - 7*i**2).\nAnswer: 21*i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o. Suppose 4*x + 18 = -3*k, 7*x - 4*x + 1 = 4*k. Give h(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.040915688 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l. Let t(j) = -j - 23 + 69 - 46. Determine -g(x) + 2*t(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4\/3 + 1189120*f**3\/3 + 58916535892*f**2 - 353502782720*f\/3 + 176751985922\/3.\nAnswer: 2*(f - 1)**2*(f + 297281)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32076.679994 - 32073.68. Let w = 3 - b. What is w rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1567630402?\nAnswer: 2, 13, 60293477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9532327*d**4*r - 15*d**2*r - 74*d - 331*r wrt d.\nAnswer: 228775848*d*r","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268570*y - 268570*y - 8*y**2.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32443 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a decade in years?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 3*w**2 + w - 4. Let c be b(-4). What is the greatest common divisor of c and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -4*g - g, 5*j - 520720*g + 89 = -520739*g for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -24 and 127 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 103295794530464 and -5.\nAnswer: 103295794530459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 728*x - 3169 + 18457 = -20384 for x.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.54 + 24.46. Let d = -25.44 + z. Let i = -0.04 - d. Put -4, 0, i in descending order.\nAnswer: i, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3357 divided by 1119\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + 3*v + 20, -2*f - 6*v + 5*v = 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22289.53 and -5.\nAnswer: -22294.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11155658?\nAnswer: 2, 421, 13249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4 = -3*r. Find the third derivative of -4*c**r - 7*c**3 + 7*c**3 + c**4 wrt c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5109257051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 31483, 61542, 91611, 121690?\n\"Answer: 5*i**2 + 30044*i + 1434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -173607a - -3?\nAnswer: -1736077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 266, 280, 306, 350, 418?\nAnswer: 516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6012 a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.67 + -0.93. Let z = b - 0.54. Sort 2\/9, -4, z, -1 in increasing order.\nAnswer: -4, -1, z, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 399 - 336 = 0. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 2. Let q = -4 - -5. Let u = q - -2. Put v, -4, u in descending order.\nAnswer: u, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m - m + 3*m. Let a(f) = f. Give a(i(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13577704 is divided by 1697211?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179296 a multiple of 548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-19)*2\/(-6)*(-2)\/(-1)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - y - 1. Let c(o) = -5*o**4 + o**3 - 6*o - 6. Let j(g) = c(g) - 6*v(g). Let j(n) = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 294 = -6*t. Let b = t + 53. Solve -b*n - 3 + 8 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 527? (a) -3\/4 (b) 3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 445206.8 rounded to the nearest 1000?\nAnswer: 445000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 3:14 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33662546.\nAnswer: 2, 131, 128483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 216*p + 647. Does 10 divide a(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.415 greater than 21822?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4958*b*g - 106*b*y - 4*g*y**2 + 1032*y**2 wrt g.\nAnswer: -4958*b - 4*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**2\/2 + 7*i - 2. Suppose -3*f + 4*l = 36, l = -20*f + 18*f - 13. Let j be s(f). Let d(a) = 3*a + 1. Give d(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 r, and 1 m when four letters picked without replacement from rwrmdrrtrwmrwtrwwwtt?\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)*4)**2 - sqrt(500) - 1*(sqrt(5) + 1).\nAnswer: -11*sqrt(5) + 7999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 + -0.3. Let v = g + 0.5. Let j = 0.017 - -0.483. Which is the third biggest value? (a) 1\/4 (b) j (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**4\/5 - 701*s**3\/15 - 1241*s**2\/10 + 354*s\/5 + 327. Factor h(w).\nAnswer: (w - 177)*(w + 2)*(4*w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -93672.75 to the nearest one hundred.\nAnswer: -93700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -193*p**5\/60 - 6*p**2. Let t(w) = 4*w - 2. Let f(u) = 50*u - 24. Let g(k) = f(k) - 12*t(k). Calculate l(g(r)).\nAnswer: -772*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b - 8. Let x(i) = 102*i - 607. Let o be x(6). What is u(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6547.65765 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 3)*(-33*d + 73*d - 34*d)*(-1 + d + 1).\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 160353?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**3 - 10*w - 10. Let n(d) = -d - 1. Determine i(q) - 10*n(q).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(-3*sqrt(176) + sqrt(176)).\nAnswer: -sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 10 + 37 = 0. What is the greatest common factor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1\/8, 0.4, 1\/4, 1\/32?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4452 and 336.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pueepufy. Give prob of sequence fpee.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -292716, -292715, -292712, -292707, -292700, -292691?\nAnswer: -292680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 3797568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2929680 by -48828.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1231 - -171?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 52 = -2*t, 2*t - 44 + 68 = c. Solve -6*y = -c + 20 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 11:22 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from illllqilillii. Give prob of sequence lqll.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55023*v**3 - 6452*v + 3?\nAnswer: -330138*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -4*a + 3*o, -3*a + 16*o - 18*o - 4 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9792 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4, -4*r + 5*x - 818 = -r. Is -9897*(r\/285 + 3\/5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13507587 is divided by 1591.\nAnswer: 1588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*k**2\/5 + 1722*k\/5 - 4968\/5.\nAnswer: 2*(k + 69)*(13*k - 36)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 1 + 7 = 0. Let w = -455 + 454.9. Is w <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + 5*-1*(sqrt(108) + 4*sqrt(108))*1)**2*4.\nAnswer: -270036 + 3600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l + 512 - 512 + 15*l**3)*(0*l + 2*l - l) in the form x*l**3 + v*l**2 + h*l**4 + c*l + b and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -18*b**2 - 9*b - 7. Let m be z(-6). Let l = 619 + m. Solve 4*y - l = 10*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1621 - -1616. Which is the second biggest value? (a) q (b) -2\/3 (c) -0.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -1024*x - 24. Let d be h(-11). Let z be ((-12)\/(-9))\/(40\/(-36))*d. Let b = -323827\/24 - z. What is the common denominator of b and 39\/10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -473698265.48 + -2.\nAnswer: -473698267.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (225\/(-6))\/(12\/(-24)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210 + 20112122222?\nAnswer: 20112122012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -325, -1030, -2213, -3880, -6037, -8690, -11845, -15508?\nAnswer: -19685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -29*y + 13. Suppose 5*k + 16*f + 15 = 20*f, -k + 2*f = 3. What is t(k)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 107 + 57 = 0. Suppose 0 = -5*r + 1842 + 3. What is the greatest common factor of x and r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-40)*2\/(-3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 21*t**2 + 19*t + 16. Let q be k(20). Which is the fourth smallest value? (a) -2 (b) 5 (c) 1 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0.8 (c) 1.9 (d) -51\/8 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -0.2, -2\/21, -4, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -33*j - 29*j**2 + 13*j**2 + 7*j - 12 + 12*j**2 = 0.\nAnswer: -6, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13512 - -6381. Let w = 7139.722 + s. Let o = w + -9.2. What is o rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52717 - 105433 - 154*n**3 + 52716 + 0*n - 86*n**3 + n.\nAnswer: -240*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.07 - -14.73. Let v = a - 15.9. Let o = -3 - 2. Sort v, -2\/5, o in ascending order.\nAnswer: o, -2\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s. Let h = 6 + 0. Suppose -4*t + 2 = -h. Let k(q) = -q + t - 5 + 3. Calculate k(g(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 159747073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 29427\/(-577)*2*-1*4\/(-24)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101010001110111001 (base 2) in base 13?\nAnswer: -33a023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + m**2 + 3*m - 3*m + (-3*m + m + 3*m)*(0*m - 2*m + 0*m).\nAnswer: -m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -5, -10, -6.\nAnswer: -10, -6, -5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(99)*6)\/(2*sqrt(576)*2).\nAnswer: 3*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-3)\/12*6*6\/810\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 117 + 0*q**2 - 2*q + q**2 - 255 + 2*q**3 to a + j*q**2 + f*q + y*q**3 and give a.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - g - 14 = 2*y, -4*y = -4*g + 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + sqrt(171)))**2.\nAnswer: -6*sqrt(19) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 832921.28\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/8 and 1*(-133)\/48 - (-4)\/2.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -6*z + 1. Let n be w(-3). Suppose -5*a + 8 = -32. Differentiate 10 + 0 + a*p + 0 - n with respect to p.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*w - 89*w + 2 + 3 + 37*w.\nAnswer: -19*w + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/2)\/o*o)**50\/(((o**(1\/3)\/o*o*o)\/o)\/o)**20*((o**0\/o)**33)**50 assuming o is positive.\nAnswer: o**(-4985\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dzzjcsdc. What is prob of sequence jds?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24745\/2 or 8?\nAnswer: -24745\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/19, 0.08, 1.1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10338001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39180731?\nAnswer: 83, 472057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 + 194*q**2 - 721*q + 8782. What is i(-101)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.107 * 1.8.\nAnswer: -0.1926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (54\/150)\/((-108)\/637605). Suppose -u - 421 = -2548. Let j = f + u. Find the common denominator of j and 31\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of w**3\/3 + w**2 - 4*w - 6. Suppose -11 = 4*a - 3*o, -o - 19 = 5*a - 3*o. List the prime factors of y(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25405 - u**3 - 2*u - 400*u**4 + 25405 in the form o + y*u**4 + h*u**3 + m*u**2 + x*u and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 5:21 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 916 + -920. Let l be (-2)\/(2 - 0)*(-9 - c). Solve -2*q - 6 = -2*n, 0 = -n + l*q - q + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -5*g**4\/12 - 25*g**3\/6 - 10*g**2 - 7*g + 1. Factor c(n).\nAnswer: -5*(n + 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/7, 1\/7, -3, -0.06?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) -1\/5 (b) 74\/47 (c) 19 (d) -5 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 261?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 115 = -131. What is the greatest common factor of c and 1107?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttppvttpoppvtxttt. What is prob of picking 1 x and 1 p?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13720673 to the power of 1\/3, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2652, -2651, -2650, -2649, -2648, -2647?\n\"Answer: g - 2653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 - 3 = 19*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 3, k: 1, n: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*h + 72192 - 3720. List the prime factors of h.\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12035 - -1233613?\nAnswer: 1221545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9345002 is divided by 251.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017132 rounded to 4 dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*h + 91 = 315 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -10\/11 (b) 0.2 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(-2))\/(0 - -1). Suppose 25 = 5*u, s = f + u - 0 + 1. Let h be ((-2)\/f)\/((-1)\/(-6)). Solve 16 = -h*a - 2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2461758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**3\/6 - 13*x**2\/2 - 1463*x. Let g(k) = -20*k**2. Give c(g(w)).\nAnswer: 20*w**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9918 + -9908. Calculate the remainder when 68 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - (6\/4)\/(6\/36). Let u(q) be the third derivative of q**4\/24 + 2*q**3 - q**2. Calculate u(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 4*h**6\/15 - 4*h**4\/3 + 321*h**3\/2 - 68*h - 1. Find the second derivative of n(q) wrt q.\nAnswer: 96*q**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 285, 308, 339, 372, 401, 420, 423?\nAnswer: 404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1476\/1771 + 6\/253. Let u = -2 - -5. Suppose -5 = -0*n + 2*n + 5*a, -3 = 4*n + u*a. Which is greater: n or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*n**3 - 9500*n**2 + 495512*n - 140800.\nAnswer: 4*(n - 275)*(n - 64)*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = w - 150, 0 = 5*d - 3*w + 2*w - 361. Let g(h) = 61 + d + 2*h + 65 - 194. Give g(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 24 = -43. Suppose -v + 153 = 8*v. What is the remainder when z is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -120609.\nAnswer: -1\/120609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2029 + 2653. What is the least common multiple of i and 624?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101200212112 (base 3) to base 5.\nAnswer: 142221103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9414740 by 5.\nAnswer: -1882948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, z: 3, b: 6, a: 2, s: 1}. What is prob of picking 1 b and 2 z?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7345662mg in tonnes?\nAnswer: 0.0000000007345662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4858 take away -0.5?\nAnswer: -0.9858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q**2 + 5*q - 8. Let l(k) = k**2. Suppose -4 = -3*b - 1. Let x(t) = b*z(t) - 5*l(t). Calculate x(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 2, -0.02, 9\/7?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -218*r**2. Let o(h) = -928 - 925 - 933 + h + 2786. Determine o(s(i)).\nAnswer: -218*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -101052702.999606 + 101052618. Let b = -85 - m. What is b rounded to five dps?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 17 = -g + 4, -4*q - 5*g = -61. Suppose m - 14 = -0*m. What is the remainder when q\/2 + 12 - -6 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 575*p**5 - p**3 + 328*p - 1 wrt p.\nAnswer: 11500*p**3 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 33 + 41 = -4*a, -3*a - 12 = 5*i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v + 19*v + 5*l - 1922 = 0, -4751 = -5*v + l. List the prime factors of v.\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7761 and 74625?\nAnswer: 970125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l**5 + 3*l**4 - 3*l**2 + l. Let z(w) = 6*w**5 + 2*w**4 - 2*w**2 + w. Let j(m) = -2*u(m) + 3*z(m). What is the second derivative of j(b) wrt b?\nAnswer: 160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14423, 14257, 14001, 13655, 13219, 12693?\nAnswer: 12077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/30)\/(16\/20).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67788 is divided by 1239?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-489)\/(-9) - 2\/6. Let g = -4 + s. What is the remainder when g is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -663 + 695. Solve -b*n = -33*n - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*b - 84*b = 86*b + 45. Let y(u) = -u + 1. Let z be y(-5). Let q be (-24)\/z*2\/7. Put -0.4, q, 0, b in increasing order.\nAnswer: b, q, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-36))\/((-4)\/(-12)). Suppose 0 = -m - t + 6, 2*t + 3*t - 10 = -m. Let x = m - 7. Which is smaller: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/123 and 79\/11162346.\nAnswer: 457656186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/13 at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -4 (c) -1.1 (d) -6 (e) -5 (f) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 744.89 and 13550.1?\nAnswer: 12805.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 + 29*z**3 - 5*z**2 + 24*z - 24*z.\nAnswer: 29*z**3 - 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqr when four letters picked without replacement from yqyqqqqyyyqryqyqqrr.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 12 = 0, 31*z = 35*z + 5*c - 5396. Does 21 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*3)\/(sqrt(768)\/sqrt(12)).\nAnswer: 9*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -231700095 to the nearest 100000.\nAnswer: -231700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence maam when four letters picked without replacement from {a: 3, j: 4, m: 4}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 15*v - 36. Let p = -56 - -69. Does 53 divide j(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6036085 to the power of 1\/2, to the nearest integer?\nAnswer: 2457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y**2 + 355*y. Let k(c) = -2*c**2 - 89*c. Calculate -9*k(q) - 2*w(q).\nAnswer: 4*q**2 + 91*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and 1740.8.\nAnswer: 1740.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101101 - -11?\nAnswer: -11101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -12 + 5 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.46 in 2\/5, -21.2, -0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.209 and -456.52778.\nAnswer: -455.31878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1081 - 434. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2. Let x(r) be the second derivative of r**4\/6 + 5*r. Determine h(x(o)).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2131 (base 8) to base 5.\nAnswer: 13423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102 + 106 + -15 + 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 8 = -5*f, z + 40*f - 76*f = -37*f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.24 + 0.14. Let g = j - -1. Let n = -0.1 + g. Are n and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 19*u + 1848. Calculate the remainder when 207 is divided by u.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*f - 2 = -m, 4*f = -2*m - 8. Solve 5*t + 2*s + m = 10, 5*t + s - 10 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/3)\/o)\/o)**(2\/41)\/((o*o*(o\/o**(-5))\/o*o)\/(o\/o**(-3\/10)*o)))\/((o*o**(-6\/7))\/(o\/(o*o**10)))**47 assuming o is positive.\nAnswer: o**(-4154287\/8610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l + 10. Let v(k) = 6*k - 20. Let x(w) = 5*t(w) + 3*v(w). Let s be x(7). Let r = s + -2. Calculate the remainder when 25 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -1)*12\/8. What is the remainder when 69 is divided by 3\/(z\/(-19)) + -1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 3:28 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 + -1.5. Let b = l + 5. Sort -0.3, b, 0.3 in ascending order.\nAnswer: -0.3, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2233 - 3?\nAnswer: -2302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -657 by -448378.\nAnswer: 657\/448378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1503 + 498 + 506 + 5871*b + 503 + b**2 + (-2*b + 4*b + 0*b)*(b + 0*b + 2*b) to r + l*b + m*b**2 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5724044*l**4 - l**2 + 112*l + 177 wrt l.\nAnswer: 137377056*l","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Round 620663.16 to the nearest ten thousand.\nAnswer: 620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 8 (c) -3\/8 (d) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105\/(-63)*(-2)\/(-15).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -c - 130. Solve v + c*v + 15 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2998404479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*p**2 - 16*p**2 + 11*p**2 - 3*p**2 + p**2 - 3*p**2 + (-4*p + p + 2*p)*(p + 5*p + p) to the form z*p**2 + h*p + d and give z.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-22554)\/3213 - 45 - -77 - (24 + 1)\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-2)*2 - (-4543 - 2795). Are 7346 and l unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j - 4 + 3*j + 0.\nAnswer: -2*j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40540?\nAnswer: 2, 5, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = a + s, 3*a = 5*a + 3*s - 72. Suppose 6*g - 27 - a = 0. Solve 5*l + 10 = -g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26308 = 28*l - 26644 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from xjjxxxxj.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(170) + 5*sqrt(170))\/sqrt(10)*-1.\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -430 - -440. Suppose 0 = s + 4*i - 28, -b = -s - 9*i + 11*i. Solve -s*j = -10*j + 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 17*b + 5. Suppose 2*t - t = -2. Let v(x) = -16*x - 1. Calculate the remainder when u(5) is divided by v(t).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4)\/(b*((b\/b**0*b)\/b*b)\/b)*(b**(6\/11)*b)\/b*(b**(1\/7)\/b)\/b assuming b is positive.\nAnswer: b**(-563\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43594 + -35638. What are the prime factors of f?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -356473 divided by 3\nAnswer: -356473\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*v - 5*v - 5038. Suppose 14*g - 942 = v. Calculate the remainder when g is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 1, t: 11, d: 2, g: 1, h: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**2 + 1770*i - 885*i + 2*i**4 - 886*i in the form j + r*i + q*i**3 + s*i**2 + a*i**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (83*(-27)\/9)\/(-1)*((-42)\/(-18))\/7?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.09 + -0.09. Let h be (3\/(-2))\/((-4)\/(-48)*-6). What is the second smallest value in 0.2, b, -1, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 3*n. Is 3\/4 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 9043207*s + 3*s**3 - 4*s**3 + 11.\nAnswer: -s**3 + 9043207*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -128429*p**2*w - 24672*p**2 wrt w.\nAnswer: -128429*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2. Let x(n) = n**3 + 4*n**2 + n - 4. Let t be x(-3). Suppose 2*d - 16 = -t*d. Let i(o) = d*o - 1 - 3 + 4. Determine i(z(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.204 + 5.154. Let r = 0.05 + n. Sort 2, r, 4.\nAnswer: 2, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -3) + 8 + (-8 - (14 + -17 + -13))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.99 - -9?\nAnswer: 10.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100 and 3934959?\nAnswer: 393495900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 5 = -5*g. Find the third derivative of 2 - 66*z**g + 7*z**2 - 14*z**2 - 12*z**2 wrt z.\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4427 + 8492. Suppose -b = -3*b - 5*q + 1595, -5*b + 3*q = -z. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219 + 219 + 3*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 981116424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -171 or -214?\nAnswer: -171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10968571.\nAnswer: 113, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/2580 and 83\/4730.\nAnswer: 28380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-3) - (-4)\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhyhyhyyyih. What is prob of picking 2 h?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -225, -439, -655, -873, -1093, -1315?\nAnswer: -1539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 14. Is s bigger than -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/24)\/((-1)\/(-9)). Let a be l - 2\/(-4)*-2. Find the second derivative of -20*i - 176*i**a + 176*i**2 - 24*i**3 wrt i.\nAnswer: -144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3}. What is prob of sequence ggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 5) + (3 - (-5 - 5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5896*o + 4782*o - 715426 for o.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**4 - 7*r**4 - 4*r**4)*(-126*r - 3*r - 67*r + 3*r).\nAnswer: 1158*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22285139?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, -6, -9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 887497764.\nAnswer: 2, 3, 139, 157, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16*(-276)\/(-64) - -104?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 116788, 233573, 350360, 467149, 583940?\n\"Answer: z**2 + 116782*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**4 + 9*u**3 - 3*u**2 - 9*u = 0. Calculate u.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23484?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k - 3. Let v be s(5). Suppose 0 = 2*b - b - 3*w + 10, b + 3*w - 14 = 0. Solve 0*d - b*d = -v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 1:17 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.5 in -2\/11, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 29 + 11 - 22)*(-147*i + 147*i - 24*i**2).\nAnswer: 888*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 841*d = 2782*d - 40761 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 7*v - 10. Suppose -16 = 2*l + 4*f, -l - 3*l - 2*f = 8. Suppose 3*c - 2*c - 5 = l. Let b be h(c). Which is greater: b or 1\/23?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1681719?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 minus 3094.19?\nAnswer: -3028.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6328895 divided by 5?\nAnswer: 1265779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k. Let n(l) = -l. Let i(c) = -3*m(c) + 4*n(c). Let z(p) be the second derivative of -p**4\/4 + 9*p. Give i(z(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4, -6, -14, -20?\n\"Answer: i**2 - 13*i + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -14 + 16 + 40*x - 2 - 42*x. Let f(c) = 3*c. Let o(s) = s. Let t(m) = -2*f(m) + 5*o(m). Calculate 2*d(r) - 5*t(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (585\/468)\/(2\/2184)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 6:26 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -3. Let i = 3 + t. Suppose q + 2*d = -2*q - 5, 0 = 2*d + 8. Which is the biggest value? (a) q (b) -1\/3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 34*p + 34. Let w(j) = -616*j - 4929. Let u be w(-8). What is f(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4331.49975 + 4333. Let p = 1.5 - t. Round p to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11072 and 2941.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 997 or 10972\/11?\nAnswer: 997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24644252 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, -15.7, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8037960 divided by -40.\nAnswer: 200949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8001443 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 9*x**2 + 10*x + 9. Let h be i(7). Let l = -46 + h. Let f = 91 + l. What is the highest common factor of 78 and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d + d + d)*(-6 - 2*d + 6) + 1 - 1 + d**2 + (1 + 2 - 1)*(3*d**2 + 0*d**2 - d**2) in the form j + a*d**2 + r*d and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/120)\/((-45)\/216*2\/(-10))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4064 and -0.05.\nAnswer: 203.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28773*h**2 - 127*h - 2108827 wrt h.\nAnswer: 57546*h - 127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) 23 (c) 36.6 (d) -0.5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 3*s**2 - 11*s + 7. Let a be x(5). Solve -a = -z - z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 - 9*o - 4. Let h be t(-8). Let p(d) = -45*d**2 - d - 28*d**3 + 45*d**2 - 1. Let y be p(-1). What is the highest common factor of h and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 6 + -29 + 17?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -5, 0.1, -0.002, 1166, 2?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 - 4*c - 2. Let j be z(-2). Let m be (12\/(-18))\/(j\/3). Is 19 a factor of 0\/(-3) - m - -39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10 + 15)*(-4)\/(-10). Find the second derivative of 35*p**2 - 21*p + 41*p**2 - d*p**2 - 7*p**2 wrt p.\nAnswer: 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1380 and 3795.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04 - -1.04. Put -2\/7, -3\/4, 0, r in decreasing order.\nAnswer: r, 0, -2\/7, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 17 = 5*v, 4*v - 2*v = -6. Let o(x) = 0*x + 0*x - s*x. Give o(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.4 + 3.4. Put 3, -3, i in ascending order.\nAnswer: -3, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = m + 6, 4*s + 217*m - 21074 = -338*m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 421 - 283. Calculate the remainder when x is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + g - 0*g + 17, -33 = -5*a + 4*g. Suppose 3*i = -a*i + 64. Solve -13*t + i*t = -5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6086*h + 139981. What is z(-23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3bcd (base 15) to base 6.\nAnswer: 135121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-16) - 17\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -78503600*h**3 - 45598536*h**2 - 2*h wrt h.\nAnswer: -471021600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**4\/12 + k**3\/6 + 13*k**2\/2 - 21*k - 7. Let x = -5 + 9. Suppose -x*g = -9*g. Give h(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i**5\/5 - 6873*i**4\/5 + 176646*i**3 - 4692588*i**2\/5 - 14899368*i\/5 - 3853248\/5 = 0. What is i?\nAnswer: -427, -2, -2\/7, 8, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 9*q**2 + 9*q + 6. Give s(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4348632094 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 2 + (8 - 32) - -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b - b + 5*b)*(2*b + b - 2*b) - 3 + 33*b + 197*b - 62*b**2 - 231*b.\nAnswer: -63*b**2 - b - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (246 + 76 + 1277)*(12*m**3 - 4*m**3 + 2*m**2 - 4*m**3) as p*m + i*m**2 + y*m**3 + z and give i.\nAnswer: 3198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(646\/133)*(-4)\/525\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-2))\/(5\/780*-21). Let a = 61 + -60. Are x and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 - 142 = -36*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30509192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17ec - -3?\nAnswer: -17e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 12\/14 + 1. Let q(g) = -5 - 5*g - 3*g**3 - 5*g + 9*g**2 + 4*g**3. Let s be q(-10). Which is the nearest to -0.1? (a) s (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -28*p**2 + 1087740. Let z(n) = -2*n. Give s(z(i)).\nAnswer: -112*i**2 + 1087740","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12266370*w**3 - 6133175*w**3 - 6133192*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8554*l*o**2 + 2*l*o + 7547*l wrt o?\nAnswer: -17108*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -111091*g**4 + 209190*g**2 wrt g.\nAnswer: -2666184*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k**2 + 59*k. Let g(s) = -3*s**2. Calculate n(g(j)).\nAnswer: -36*j**4 - 177*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 40*b**2 - b + 48. Let l be i(40). Solve -13*p - 10 = -l*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144856 and 307819?\nAnswer: 2462552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 a when three letters picked without replacement from gaaaaaggaaaaaaa?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s + 35. Let w(t) = -2*t**2 + 16*t. Determine p(w(n)).\nAnswer: 4*n**2 - 32*n + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**3)**(-45))**5 assuming h is positive.\nAnswer: h**(-675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**3 + m - m + (-8 + 3*m**3 + 8)*(1 + 2 + 3) to s*m**3 + o*m**2 + n*m + a and give s.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1950531 - 31*f**2 - 1950531 to the form l + t*f + a*f**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*a**2 - 6*a - 5*a + 11*a.\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15005061*r**2*s - 8344009*r - s wrt r?\nAnswer: -30010122*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 38 = -53. Suppose -25 = 3*t + 2*k - 377, 2*k - 592 = -5*t. Suppose -z*d - 3 = -t. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.966237 meters to micrometers.\nAnswer: 9966237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 q, and 1 c when four letters picked without replacement from {d: 1, b: 7, s: 2, c: 4, q: 3}.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/11, -1\/10, -0.2, 3, 15450\/13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 75 = -t + 76, -623 = -4*t + 3*g. Solve t*q - 157*q + 6 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -36*q - 6. Let u be c(7). Let n be u\/15 - 1\/(-5). Let d = n - -59. Is d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 1 + 1 - 2*b - 5 + b**2. Let j be v(3). Suppose -o + j = -0*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03 - -1.97. Let x = 446\/7 + -64. Which is the second biggest value? (a) -3 (b) r (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/423 and -37\/21348?\nAnswer: 1003356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 g when two letters picked without replacement from {y: 1, i: 1, p: 3, j: 1, g: 2, c: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15781 (base 10) to base 4.\nAnswer: -3312211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18715?\nAnswer: 5, 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 51149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 456 and 4104?\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*o - 65, -3*l + 3*o = -0*l - 90. What is the remainder when l is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + p = -227, -4*i + 77 = -p - 372. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - b**2 - b - 1. Let p(z) = -z**3 + z + 1. Let t(c) = 5*c**3 + 2*c**2 - 2*c - 3. Let l(i) = 4*p(i) + t(i). Calculate 2*a(x) + l(x).\nAnswer: -x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5957820.\nAnswer: 2, 3, 5, 11, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**2 - 2*g + 1. Let b be m(1). Suppose -3*o - 10 + 7 = 0. Let j = 11 - 6. Put b, o, j in descending order.\nAnswer: j, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xgx when three letters picked without replacement from {g: 1, x: 3, w: 1, t: 1, j: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6225171t in micrograms?\nAnswer: 622517100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -7) + -14 + -25 + 6 + 9.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 + -29. Suppose -f = -2*h + 2*f + 89, -l*h + 136 = -5*f. Let i = 44 - h. Solve 1 = 2*g - i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24761\/2 + 12135. Let l = 246 + c. Let d = 3.2 - 5.3. Which is smaller: l or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u**2 + 3*u**2 - 3*u**2.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6cb (base 13) to base 5\nAnswer: -14211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/((-17235)\/30948) - -1. Let x = -5\/383 + u. What is the common denominator of 53\/9 and x?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5 = 4*l - 0*l, -5*t + 50 = 5*l. Suppose 3*b = -3*r - 2 + 17, -25 = 3*r - l*b. Suppose 0 = -4*s + 6*s. Solve s = -d + w, -d - 3*w = -r*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42*(-1656)\/15120 - (-10)\/25.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*l*z**4 + 3669*l*z**3 + 11845*l + 79*z**4 - 49*z**2 - 5*z wrt z.\nAnswer: -696*l*z + 22014*l + 1896*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**3 + 132*d**2 - 132*d + 214. What is h(-67)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 9*n + 10. Let w be (3\/(-6))\/(1\/16). Calculate the least common multiple of c(w) and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2136, 4275, 6414, 8553?\n\"Answer: 2139*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1112824.2 months to centuries.\nAnswer: 927.3535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*p**2*w**3 + p**2*w**2 - 2*p*w**3 - 17*p*w**2 wrt w?\nAnswer: 162*p**2 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 362*m**2 + 3 - 3 - 361*m**2. Let h(x) be the third derivative of -11\/6*x**3 - 15*x**2 + 0*x**4 + 0 - 1\/60*x**5 + 0*x. Determine h(a(c)).\nAnswer: -c**4 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, -44, -182, -374?\nAnswer: -620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g. Let r(a) = 96*a**2 - 2*a - 1. Let c = 35 + -34. Let q be r(c). Let u(k) = -q + 93 + 3*k - 5*k. What is 5*d(v) - 8*u(v)?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1046, -1039, -1032?\n\"Answer: 7*k - 1053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -127 divided by -4\nAnswer: 127\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j**5*k - 8*j**5 - 38*j**3*k - 3*j**2*k - 3438*j*k wrt j.\nAnswer: -180*j**2*k - 480*j**2 - 228*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16204 divided by -2?\nAnswer: 8102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2661035869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 127\/225 - 3\/25. Suppose 20 = 4*j, 2*j = 3*a - 0*j + 10. Are d and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 4 = -5*k. Let v be (13 - 7)\/(k*2). What is z in -2\/9*z**4 - 2*z**2 + 10\/9*z**v + 14\/9*z - 4\/9 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*l + 21 = 0, -4*l - 50 + 30 = -4*o. Let y(b) = -6*b**3 + 3*b**2 + 5*b - 7. Let u(k) = -k**3 + k - 1. What is o*u(c) - y(c)?\nAnswer: 2*c**3 - 3*c**2 - c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (56\/5)\/((-10)\/(-50)). Suppose 5*v = -6 + a. Suppose -v = -p - 9*f + 4*f, 4*f - 41 = -3*p. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a + 4. Let y be p(-6). Calculate the remainder when (-578)\/y - (-4)\/(-14) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 8*i**2 + 4*i + 32. Let r be o(0). Is 31 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*p + 18*p - 10*p + 0*p + 2*p + 0*p + (-2 - 1 + 1)*(-2*p - 2*p + 2*p) + 2 + 2*p - 2 - 3*p - p + 2*p + 0*p + 6*p + 2*p as a*p + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**3\/3 + 5689535*h**2\/3 - 539514423525*h + 539512527015 = 0. Calculate h.\nAnswer: 1, 568953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-21))\/(((-356)\/1869)\/(4\/(-15))).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jyjkgnn. What is prob of sequence jjgy?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 34, -3, -5.\nAnswer: -5, -3, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2 - 12*u + 4. Let j be t(-6). Let z be ((-57)\/38)\/((-2)\/j). Differentiate 3 + z - 2 + 15*r**3 + 4 with respect to r.\nAnswer: 45*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51271632149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11999, -16768, -21537?\nAnswer: -26306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-12))\/(-10 + 34\/51).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 169, 414, 659, 904, 1149?\n\"Answer: 245*l - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41*r**6 + r**5 - 35*r**4 + 2*r**2 - r + 28913 wrt r?\nAnswer: -4920*r**3 + 60*r**2 - 840*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, o: 4, d: 1, u: 5, g: 1, t: 7}. Give prob of picking 2 u, 1 c, and 1 d.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-2)*(-37)\/(-703).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22b828b (base 12) to base 11.\nAnswer: -3874870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f. Let c(l) = -2*l. Let x(v) = 3*b(v) + 4*c(v). Let p(i) = -10*i. What is p(x(t))?\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1349856 (base 10) to base 13.\nAnswer: -383541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 4:50 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/26 - (-496)\/13 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 7. Let m = -86551\/51 + 1697. Let p = m - 10\/17. Which is the closest to p? (a) 0 (b) s (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 12:56 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.7878806 centimeters?\nAnswer: 0.007878806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3 + 1*((sqrt(21)\/sqrt(12) + -2)**2 + -4))*1.\nAnswer: -25\/4 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2 - 11*v + 4. Let h(j) be the first derivative of -2*j**3\/3 - 6*j**2 + 5*j + 2. Let l(c) = -6*h(c) + 7*i(c). Determine l(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -32*h**2 + 191*h + 213. Let c(l) = -38*l**2 + 190*l + 216. Let v(x) = -5*c(x) + 6*g(x). Factor v(i).\nAnswer: -2*(i - 99)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19179 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((300 + 119*k**2 - 300)*(3*k + 5*k - 3*k) + (2 + 0 - 3)*(-k**3 + 3*k**3 - k**3))*(-2*k + 0*k + 3*k).\nAnswer: 594*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4338988974 to the nearest integer?\nAnswer: 65871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**2 + y + 2. Give h(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4968, -5632, -6310, -7008, -7732, -8488, -9282?\nAnswer: -10120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a day in minutes?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 779 and 0.0341?\nAnswer: 778.9659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-10)*-1*84\/(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 34.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 19575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 3*g + 3*t + 38, 0 = 3*g - 2*t - 23. What is the lowest common multiple of 19 and g?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0177 - 2.9877. Let b = c + 3. What is b rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdnpnnppwnmpndnpm. What is prob of picking 2 p?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*f = -61*f + 50. What is the remainder when 140 is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - u + u + u + 2*u in the form h*u + y and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49152*j**4 - 61440*j**3 - 28800*j**2 - 6000*j - 1875\/4 = 0. What is j?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -9a3c83 (base 14) to base 11\nAnswer: -2a56381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c**3 - 603 - 19313*c + 19313*c + 603.\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 371130*w**2*x - 2*w**2 + 835*w*x + 59*x wrt w?\nAnswer: 742260*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 less than -2098712577211?\nAnswer: -2098712577211.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (112\/42)\/((-15)\/99). Is z bigger than -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 2. Let a be 16\/4 - 0 - 1. Put a, z, -1 in descending order.\nAnswer: a, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m**5\/5 - 56*m**4\/5 + 20*m**3 + 16*m**2\/5 - 48*m\/5 = 0. What is m?\nAnswer: -6, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -11. What is the derivative of 1 - 2*x**4 - o*x**4 + 3 + 0 wrt x?\nAnswer: -32*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1306363 - 304?\nAnswer: 1306058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 118*g + 275 - 1219 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1235 + -1239. Sort -0.4, v, -0.15, 4 in decreasing order.\nAnswer: 4, -0.15, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-7)\/(-182))\/(-1)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/4890 and 11\/7140690?\nAnswer: 1163932470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -159*i**2 + 4*i + 26. Let w(r) = -4*r. Give l(w(d)).\nAnswer: -2544*d**2 - 16*d + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 3562, -0.1, 1, -2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 937582 and 5710.\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(80\/18)*(-15085)\/3017.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -5*v**4\/4 - 205*v**3\/3 + 445*v**2\/2 + 645*v - 86. Determine p, given that m(p) = 0.\nAnswer: -43, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -l**6\/165 + 21*l**5\/110 - 17*l**4\/11 + 4*l**3\/3 + 168*l**2\/11 - 67*l + 15. Find y such that k(y) = 0.\nAnswer: -1, 2, 6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 1 = -4*u. Sort u, 4, 3 in increasing order.\nAnswer: u, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-9))\/(4\/18). Suppose 3*b = 0, -5*c + 18 = 4*b + r. Solve -4*o = v - 1, 2*o - 14 = c*v + v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11574 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 - 1188*n + 1188*n - 3*n**2 + 336*n**3 + 4.\nAnswer: 336*n**3 + 2*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79.1 - 79.6. Which is the second smallest value? (a) x (b) 12 (c) -4 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2*p + 11 = -9, -3*k - 4*p + 10 = 0. Let o(x) = 13 + x - 4*x - 2*x + 3*x. Let i(m) = -m + 6. Let h(d) = 13*i(d) - 6*o(d). Give h(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 10 = -u + 2*u, 0 = t + u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five quarters of a kilogram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*((sqrt(504)*4)\/(sqrt(6)\/sqrt(3)*-4) + 4).\nAnswer: -18*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(1 + sqrt(98)) - (sqrt(70)\/(1*sqrt(7)))\/sqrt(5)) + (1 + sqrt(162) - (-1 + sqrt(2)*2)) + (sqrt(64)\/sqrt(2) - sqrt(2) - (sqrt(2) + 0)*1))**2.\nAnswer: 176*sqrt(2) + 984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1254.59 and -0.1?\nAnswer: 125.459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209*t + 106*t + 109*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3, -22, -47, -72, -97, -122?\n\"Answer: -25*j + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43515 is divided by 240.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15927038 to the nearest integer?\nAnswer: 3991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, s: 1, h: 1, d: 1, a: 1}. What is prob of sequence da?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5878158 divided by -5797.\nAnswer: -1014","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2478?\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.65 - -1.75. Let v = -12 - t. Which is the nearest to v? (a) -1 (b) 2\/17 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 517, 1021, 1527, 2035, 2545?\nAnswer: 3057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*c - 6. Suppose c*d + t - 2*t + 1 = 0, t - 5 = -2*d. Solve 0 = -3*g - 7 + d for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.9 - -34.9. Let o = 155283020 + -155283049.9999868. Let m = t + o. What is m rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 - 2*x - 5. Let o(r) = -r**2 - r - 2. Let a be (-11)\/(-3 - (-7)\/2). Let b = a + 19. Determine b*y(v) + 8*o(v).\nAnswer: -2*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5 = 4*x, 2*x + 0*k - 4 = 2*k. Find the third derivative of -9*w**2 - w**5 + 6*w**2 - 4*w**x wrt w.\nAnswer: -300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/33 and (4\/30)\/((-468)\/(-6695)) + 0?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 484 and 28995824.\nAnswer: 318954064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 363, 792, 1221, 1650?\n\"Answer: 429*o - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/3)*z)**(-31\/5)*(z**(-4)\/z)\/(z\/(z*(z*z**(-1\/9)\/z*z)\/z)) assuming z is positive.\nAnswer: z**(-139\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*(-2)\/4)\/(62\/1240). List the prime factors of (-30)\/(s\/2) - 3312\/(-9).\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12657*o + 12659*o + 4*b - 2 = 0, 2*o = -b + 8 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by (-6)\/33 - 285\/(-55)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 12:47 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -22017 at least as big as -22014?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuhh when four letters picked without replacement from uhhhhuhhhhu.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c = 55*c - 59 - 181. Solve 0 = -3*i - 5*s + 20, -4*i + s = 1 + c for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.16172ml in litres?\nAnswer: 0.01616172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1055, 1047, 1039, 1031?\n\"Answer: -8*p + 1063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 350052.16 less than -3025.82?\nAnswer: -353077.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307 = -2*a - a - 2*q, 4*q = -a + 119. Let y = -99 + a. Solve 3*l + 2*i + 7 = y, l = 2*l - 5*i + 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = t + 1. What is the second derivative of p + 11*p**t + 3*p**5 - 11*p**2 wrt p?\nAnswer: 60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 0*k**2 - 17\/6*k**3 + 0*k**4 - 2\/5*k**5 + 0 + 12*k. Find the second derivative of j(n) wrt n.\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -749651 - -27?\nAnswer: -74962a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 323333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-128)\/216*((-55)\/660)\/(1\/(-9))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 1 - (-237 + 223)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1456*w**3 - 13*w + 6*w + 12 - 1443*w**3 - 36*w wrt w.\nAnswer: 39*w**2 - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480 = -116*p - 44*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 57. Let s = g - -80. What is the remainder when s is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 3*y + 3 = s, -4*s + 17 = y for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 8:20 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/5, -7, 13\/25 in ascending order.\nAnswer: -7, -3, 1\/5, 13\/25","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -11*k**3 - 2*k**2 - 2*k + 3. Let u be t(3). Let x be ((-580)\/(-6))\/(2\/u). Is (-2)\/5 + x\/(-50) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30*34\/(-2295))\/(10\/(-3))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*r*r**0)*r)**(-2\/83)*(r**1)**(-22\/5) assuming r is positive.\nAnswer: r**(-1816\/415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/((-3)\/(-998)))\/(21\/(-63)). Suppose -7*k = -q + 46. List the prime factors of k.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = k + 403 - 1558, -4*k = -2*n - 4630. List the prime factors of k.\nAnswer: 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 224700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 10*f - 8*f. Let j be (1\/(1\/8))\/2. Solve 4*g + j*l + 5 = -f, 3*g = -l - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 7822655?\nAnswer: 1\/7822655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -372.5 - -390. Let x = h - 17. Which is the fourth smallest value? (a) -0.2 (b) x (c) -5 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - 12 - 76 = 0. Let n(l) = -l**3 - 10*l**2 + 10*l - 7. Let g be n(s). Solve -4 = -g*u + 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/7)*h\/(h**4*h))\/((h*h**(-1\/7))\/(h*h\/((h\/(h*h**(-2\/29)\/h))\/h)*h))*((h\/(h*h**(2\/5)\/h))\/h**(-3))\/(h\/(h**(-2\/3)\/h))**11 assuming h is positive.\nAnswer: h**(-85528\/3045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 11:42 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14341 + -17959. What is n rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d - 4. Let c(z) = 2*z - 3*z + 0*z - 5. Let p(y) = 3*c(y) - 4*h(y). Suppose 3*s = -2*s - 10. Calculate p(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000797241 to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19 or -0.03493?\nAnswer: -0.03493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - u - 1. Let d(h) = 5*h**2 - 3*h - 4. Let o be -2*(3 + (-7)\/2). Let k(i) = o*d(i) - 4*y(i). Calculate k(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84245 is divided by 405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -1254*x + 1. Is n(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3445 and 5.\nAnswer: -17225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1886 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16591952 and 7657824.\nAnswer: 99551712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46136?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u + 2. Let j be a(-13). Let f = 46 - j. Let s = 181 + -169. What is the remainder when f is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + (sqrt(363) - (1*sqrt(363) + sqrt(363))) + 2 - -5*(1*sqrt(363) + sqrt(363)))**2 - -4*((-1 + (-1 + sqrt(363) - sqrt(363)))**2 + -1).\nAnswer: 440*sqrt(3) + 36316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 5, 4, -3 in decreasing order.\nAnswer: 43, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i + 17. Let o(b) = -b + 1. Let s(t) = 6*o(t) - z(t). What is the derivative of s(c) wrt c?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39389292407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 - -43. Let s be ((-18)\/15)\/(k\/(-40)). Differentiate -2 - s - 2 - 4*v**2 wrt v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7 + 2*c**3 - 8 + 2*c**3 wrt c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/65)\/((-2)\/13*3). What is the nearest to -1 in -0.1, 36, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2160 = -2*k, 0 = -8*m + 4*m - 3*k + 1735. List the prime factors of m.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - (-26 - (-52 + 11))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*h - 26, -3*n - 3*h = -h - 1. Let x(w) = 49*w + 290. Let l be x(-6). Sort n, 5, l, -2 in decreasing order.\nAnswer: 5, -2, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157720710503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 6090824.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4512670*g**3*k**2*p - 4457075*g**3 + g**2*k - g**2*p**2 + 2*k**4*p**2 wrt k?\nAnswer: -9025340*g**3*p + 24*k**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 26. Sort -0.1, r, -1\/8 in ascending order.\nAnswer: r, -1\/8, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*q - x, 6*x = -5*q + 2*x + 11. Suppose 0 = 4*s - o - 3*o + 12, -4*o = q*s - 26. Let a be 0 - (-46)\/(0 + s). Which is greater: a or 22?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39\/2021 - -2\/47. Is n at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + -5 - (-1)\/1. Let w = d + 3. Factor 2\/7*u**5 - 2\/7*u**3 + w*u + 2\/7*u**2 + 0 - 2\/7*u**4.\nAnswer: 2*u**2*(u - 1)**2*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234*x**2 - 115*x**2 + 12 - 110*x**2.\nAnswer: 9*x**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -3194?\nAnswer: 3199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**3 + 2*f**3 + 2*f**3 + 460*f**3 + 452*f**3 - 744*f**3 + (2*f**3 + 4*f**2 - 4*f**2)*(-2 - 3 + 3) - f**3 + f**3 - 2*f**3 - f**3 + 0*f + 0*f.\nAnswer: 162*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2011 = -766. Let h = t + -316. What is the remainder when h is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**3 - y**2 + 5*y. Is 22 a factor of a(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of a**8\/336 + a**5\/5 - 11*a**2\/2 - 10. Let p(w) be the second derivative of l(w). What is the third derivative of p(b) wrt b?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 1773*p**2 + 325*p + 55. Is d(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(54)\/sqrt(6)) - (sqrt(44) + 2).\nAnswer: -sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 8:38 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 + 0*i**3 - 4*i**3 + (4*i + i - 3*i)*(19 - 19 + 12*i**2).\nAnswer: 21*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 10. Let d be a(-6). Let l be (3 - 2)*1\/1. Let c = l + 3. Solve c*r - 2 = i, 2*i - 1 = -r + d*r for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -11 + -41 + 11 + 64\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 - 2*p + 3)*(-2 - 3 + 2) - 2*p + 0*p - 3*p.\nAnswer: p + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 3*h - 6*h = 9, 3*b + 5 = -2*h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 192 * -3\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1318845?\nAnswer: 3, 5, 11, 7993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*n + 17*n - 9*n + 4)*(0*n**3 + 0*n**3 - n**3) in the form p*n**4 + o*n + c + d*n**3 + l*n**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 243 - 237. Let t be 3*1\/(-3)*-4. What is the tens digit of (z\/(-9))\/(t\/(-174))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 - 309a?\nAnswer: -3091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*o + 7*o + o)*(-1 + 1 + 2)*(7 + 5 - 5)*(2 + 0 - 4 + (-6 + 4 + 4)*(-4 - 2 + 4) - 4 - 17 + 2) to n + s*o and give s.\nAnswer: -4550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.152215 * 3.\nAnswer: -9.456645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -86243, -38, -3\/8, 2\/15?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 2)*(5*q - 4*q**2 - 5*q) + (-q + 2*q + 0*q)*(2 + q - 2) + q**2 + 0*q + 0*q.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3313122 (base 4) to base 8.\nAnswer: 36732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2749 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/2 (b) -3 (c) -3\/8 (d) 0.05 (e) 295\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347 a factor of 252878566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, -63.4, -39518?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/1027 and ((-2)\/(-4))\/((-3950)\/1775).\nAnswer: 4108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5275 - -47477\/9. Is 3\/5 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.2 - -0.2. Let i be ((-9)\/(-27))\/(2\/6). What is the closest to i in r, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 6. Let u be ((-4)\/p)\/((-2)\/5). Suppose x = u*x - 4. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1892 and 5848?\nAnswer: 64328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**8\/26880 - t**7\/6720 + t**5\/12 - 4*t**2. Let v(s) be the third derivative of c(s). Factor v(x).\nAnswer: 3*x*(x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -15. Let s be 1*a\/2*6. Suppose 4*z = -s*j - 171, 2*z = -0*j - 2*j - 88. Round z to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-13581\nAnswer: 2716.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-9)*2\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-701 + 701 + 3*k**2 - 29*k + (1 - 1 - 2*k)*(2*k - 4*k + 4*k))*(-4*k + 0*k - k).\nAnswer: 5*k**3 + 145*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 - 6*w**2 + 2*w**2 + (-w**2 + 3*w**2 - 4*w**2 - 2*w**2 + 2*w - 2*w + (0*w + 0*w - w**2)*(-2 + 4 + 0))*(2 - 1 + 1).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3176*i. Let o(h) = 4*h. Calculate o(r(a)).\nAnswer: -12704*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdid when four letters picked without replacement from {d: 5, b: 1, z: 1, i: 9}?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 37795 = -2*b - 37835, 176 = -11*c for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 99\/(-6)*44\/(-33)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 53, 2\/21, -3\/11, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d - 5*d = 55. Let y(a) be the third derivative of -1\/10*a**d + 0*a**4 - a**2 + 1\/70*a**7 + 0*a + 1\/2*a**3 + 0 + 0*a**6. Factor y(t).\nAnswer: 3*(t - 1)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/((3\/(-6))\/1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*d + 111 = 2*d. Let j = 2.9 - 3. Let f = j - -0.1. Which is the closest to f? (a) d (b) 5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524421883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: (-4123)\/(-186) - (-184)\/552\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 6*s**2 - 10*s - 3. Suppose 26 = -5*i + 4*v - v, -17 = 2*i + v. Let j(y) = 11*y - 1. What is the remainder when r(i) is divided by j(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650 = d + 129*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -3910\/7 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -372 and 1173695.\nAnswer: -436614540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 68988*q + 137968. Give f(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3562 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 8561*q + 12961354. Give s(-1514).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397 is divided by 49?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*l + 149290 + 53779 = -6*l. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*v**2 + 633*v - 633*v - 12 to the form r*v**2 + d + h*v and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**3 + 14*m**2 - 11*m. Suppose -147 = -i - 141. Calculate p(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75 + -76. Let h(y) = 15*y - 1. What is h(r)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -71*s - 4*p - 86 - 107, -2*p + 16 = -s + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**3\/9 - 1112210*q**2\/9 - 1853704*q\/3 + 741480 = 0 for q.\nAnswer: -6, 1, 556110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12.45308 and -100?\nAnswer: 1245.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m*m**(-17\/4)*m)*m**14 assuming m is positive.\nAnswer: m**(65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -25\/8 at most as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o - 1. Let l(c) = 5*c + 4. Let j(k) = l(k) + 6*p(k). Let q(d) be the first derivative of -d**3\/3 - 9*d**2\/2 - 14*d - 2. Let m be q(-7). Give j(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j - 4402 + 5042 = 0 for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, m: 5, h: 7, z: 1}. Give prob of sequence hmb.\nAnswer: 5\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11828903 - 11828775.000624. Let y = -128 + x. What is y rounded to 5 dps?\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.361 (b) -4 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79.8 - -89. Let w = o + -8.8. Which is the nearest to 2\/5? (a) -1\/4 (b) 1\/9 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*w + 5*g, -3*g = w + 16. Let q(h) = -8*h + 4. Let u be q(w). Calculate the highest common factor of u and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 16 - (-58 - -8) - 14?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*s = -9. Suppose 10*q = 5*q - 5*b, -s*q + 5*b = 0. Suppose -v = -q + 2. Sort -4, v, -1 in ascending order.\nAnswer: -4, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115 - 71. Suppose -5*g + g = -j. Suppose -31 = -3*l + g. Calculate the remainder when 41 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/2686 and 55\/2306478.\nAnswer: 3097599954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*x - 280 - 20 = 0. Put 28, x, 24, 2 in decreasing order.\nAnswer: 28, 24, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 168\/18*39\/52.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w + 28. Let z be m(-6). Solve -p + 0*p = z for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/33, -5, -0.07, -3, 1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2846 is divided by 95?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/7 - 15*w + 84.\nAnswer: 3*(w - 28)*(w - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -254*k**2 + 5073*k - 919016 wrt k?\nAnswer: -508*k + 5073","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**4\/8 - 3*h**3\/2 + h**2. Let x = -7 + 12. Let y(j) = -2*j - 4 + 6*j - 3*j. Determine x*y(f) - 2*v(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -2011220?\nAnswer: -2011201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) -1 (c) -4\/19 (d) -1916 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 12478274?\nAnswer: -12478276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -2.7 (c) 129\/38 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 2) + -2 + 11 + 1 + -8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 309716857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*(21\/(-6) + 0). Let x = 21 + i. Suppose x = -5*p + 6*p. Solve 2*o - 2 = -0*o - 4*y, p = -3*o + 2*y - 21 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*c + 40*c + c**3 + 5*c**3.\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k - 144 = 0, 0 = 2330*n - 2327*n + 6*k - 75 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**3\/8 + 825*c**2\/2 + 1411413*c\/8 - 707355\/4 = 0. Calculate c.\nAnswer: -330, 1, 1429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -12108605 bigger than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 978\/5 + -196. Which is the third smallest value? (a) -2 (b) 0.2 (c) 1\/4 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**3\/2 - 3016547*f**2\/2 - 4524817*f - 3016544 = 0?\nAnswer: -3016544, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35352, 35271, 35190, 35109, 35028, 34947?\nAnswer: 34866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.27 - 4.73. Which is the fourth smallest value? (a) -1\/2 (b) 3 (c) 0.5 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17 - -2002?\nAnswer: 1eda","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 195.2 - 175. Let a = f + -22. Let l = 2 + a. Put -4, -1\/2, l in descending order.\nAnswer: l, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g = 16*g - 18. Let c(b) = -5*b**3 - 5*b**2 - 5*b. Let o(i) = 5*i**3 + 6*i**2 + 6*i. Give g*c(z) - 5*o(z).\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*((sqrt(1088) - (sqrt(1088)*2 + sqrt(1088))) + sqrt(1088))*-6)**2 - (sqrt(51) + 4*sqrt(306)\/sqrt(6))\/((sqrt(108) + sqrt(3))*-6).\nAnswer: 5*sqrt(17)\/42 + 39168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 18*i + 19. Let f be k(17). Solve 6*y = f*y + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3. Let g be (6\/4)\/(-3)*0. Let z be r(g). Suppose 2*i - 4*i + 40 = z. What is the least common multiple of i and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - -3*sqrt(132)*-2)\/((sqrt(60)*-1)\/sqrt(5)).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00023330838 to 5 dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1202633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 6*q**2 + q + 4. Let f = 43 + -31. Let l = f - 17. Let v(n) = -7*n**2 - n - 5. Determine l*a(y) - 4*v(y).\nAnswer: -2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**6\/30 + 1091*o**5\/20 + o**3\/6 - 117*o**2 - 155*o + 3. Find the second derivative of w(x) wrt x.\nAnswer: 12*x**2 + 6546*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 11 + (-16 - -1 - (-4 - (129 - 38)))\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-5))\/((-2)\/(-20)). Suppose 136 = -w*m + 6*m. Let i = m + -22. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 398, 13, -295.\nAnswer: -295, 13, 398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 4, -7.\nAnswer: -7, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24060494.\nAnswer: 2, 173, 69539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*v)*(2*v**2 + v**3 - 2*v**2) + (0 + 0 + 5*v + (5*v - 3*v + 0*v)*(2 - 2 - 2) + 2*v - 2*v + v)*(v**3 - 2*v + 2*v).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17630416 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7234 - 7225. Solve -o*q + 41*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 8*n**2 - 11*n + 9. Let b be j(-6). Suppose 6 + 0 = b*f. Calculate the greatest common divisor of 6 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 26*b. Let l(x) = -3*x - 1. Let k(o) = 11*o + 2. Let s(j) = 3*k(j) + 8*l(j). Calculate g(s(u)).\nAnswer: 234*u - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16, -1, -2, -125?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 286700 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1947978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6118 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(28)\/sqrt(2))\/sqrt(2) - (sqrt(84)*-2)\/sqrt(12)))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**5\/360 - 287*a**4\/72 - 82369*a**3\/36 - 31*a**2 + 14*a. Suppose z(u) = 0. Calculate u.\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t + 117 - 19*t + 81 - 332 to the form x*t + k and give x.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*z - 70*z + 668032. Does 20 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + sqrt(2) + 1 + (sqrt(2) - (1 + (sqrt(2)*-1 - sqrt(2)))) + 2)*-2.\nAnswer: -48*sqrt(2) - 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51348368 * -3.\nAnswer: 154045104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/16)\/((-21)\/(-3304)). Are 58 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**3\/5 + 5244*y**2\/5 - 683274*y - 5533520 = 0. Calculate y.\nAnswer: -8, 1315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 291 - 284.8. Let m = -6.3 + k. Which is the nearest to m? (a) -5\/3 (b) 3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + ((-51701)\/(-39))\/(-41)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**2 + s**2 + 6*s**2)*((-s**2 + 6 - 6)*(-24 + 4 - 2) + 2*s**2 - 4*s**2 + 3*s**2).\nAnswer: 46*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 172 - 212. Calculate the remainder when 37 is divided by 5*-18*4\/g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50761, -50691, -50621, -50551?\nAnswer: -50481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(-q + 3*q - q - 14*q**2).\nAnswer: -14*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -100 + 101.14. Let i = -1.14163 + w. What is i rounded to 4 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 28*j**5 - 134*j**4\/3 + 4*j**3 + 14*j**2 - 4*j\/3 = 0.\nAnswer: -1\/2, 0, 2\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 15*o**2 - 54*o + 18. Determine u(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 621 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-2)*p*p))**(-35\/6)\/(p\/p**(-4)*p**3*p*p))**(17\/6) assuming p is positive.\nAnswer: p**(-85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -118 divided by 323\nAnswer: -118\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (92\/66)\/23 + (20\/(-330) - -11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y**2 - y**2 - 4*y**2)*(2175 + 217 - 2663 - 894 - 5313 - 3913) as j*y + i*y**2 + h and give i.\nAnswer: 20782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 414299059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -159\/20, 4, -2.\nAnswer: -159\/20, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7225 + 7978. Which is smaller: b or 751?\nAnswer: 751","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 7*b + 2. Suppose 2*q + 5 = -9. Let x be l(q). Let c = 19 + x. Calculate the remainder when 41 is divided by c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -127796, -8, -6 in ascending order.\nAnswer: -127796, -8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62061.\nAnswer: 3, 137, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17939 and -25.22.\nAnswer: -452421.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 6*j + 7. Suppose 3*a + 1 = -17. Let v be n(a). Suppose -2*m = -4, 2*k = v*k + 4*m + 107. What is k rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ji when two letters picked without replacement from {j: 7, f: 2, s: 2, i: 4, p: 1}?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.956395 rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 5440\/3*x**3 + 0*x - 1904\/5*x**5 - 108 + 400*x**2 + 49\/3*x**6 + 2172*x**4. Factor z(j).\nAnswer: 2*j*(j - 10)**2*(7*j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-4 + -1 - 1 - (-4 - -2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*m**5 - 11*m**5 + 14*m**5 + (-m + m**2 + m)*(2*m**2 + 2*m**3 - 2*m**2) + 2*m**5 - 2*m**5 + 3*m**5 + (-3 + 5 + 0)*(-5*m**5 + 3*m**5 + m**5).\nAnswer: -25*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/8 of a tonne?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1626998 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9072386 to the nearest integer?\nAnswer: 3012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4139023362 to the power of 1\/3, to the nearest integer?\nAnswer: 1606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -183*h + 2. Let w(n) = -8*n**2 - 6*n - 84. Let a(j) = -j**2 - j - 14. Let m(f) = -12*a(f) + 2*w(f). What is u(m(r))?\nAnswer: 732*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134241 is divided by 73?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1924.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 15*x**2 + x + 17. Let s be a(-15). Let w(d) = 2 + 11*d**2 - 2*d - 14*d**s + 2*d**2. List the prime factors of w(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 13*r**2 + 14*r - 13. What is l(-12)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -66955 from -19.\nAnswer: 66936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 676*w - 5607*w - 1044*w - 4489*w as a*w + i and give a.\nAnswer: -10464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2416?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**3 + 13*q**2 - 20*q + 42. Let j be c(-8). Calculate the greatest common divisor of 1140 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30208568 divided by 1196?\nAnswer: -25258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2587 divided by -2\nAnswer: 2587\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence stat when four letters picked without replacement from {a: 1, s: 7, t: 10}?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rww when three letters picked without replacement from {w: 2, i: 2, r: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - 9. Let o(f) = f + 9. Let h(d) = -6*o(d) - 7*w(d). Let c be h(-7). Suppose a - 2 = c. What is the highest common factor of a and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28971529?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -240.61 + 242. Let k = y + -0.5. Let n = 0.11 + k. Which is the smallest value? (a) -3 (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*k + 139994091 = 0. Suppose t = -2*m - 26164699, -5*m = 2*t + 2*t + 104658793. Let z = t - k. What is z rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.35 minus 40594939.5259?\nAnswer: -40594936.1759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - -48)*((-27)\/(-12) + -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 12*g**2 - g + 13. Let o be s(12). Suppose l - 4 = -o. What is the smallest value in 11, -3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, -311, -0.13, -0.7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 27*i + 34. Let c be w(-1). Let n(t) = -6*t - 9*t - t**2 - c*t + 16*t - 5 - 1. Calculate n(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(3\/5)\/u**(4\/9))\/((u*u*u**(2\/11))\/(u**(-9)*u*u)))\/((u**(-2\/7)\/u)**(-14)\/((u**(-7)\/u)\/((u**8*u)\/u))) assuming u is positive.\nAnswer: u**(-21298\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 a factor of 22265862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 650.6 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 + 2*w + 23 + 16*w to the form v + q*w and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 + -11220?\nAnswer: -11112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - s + 550 = 0, 3*s = -0*b - 4*b - 716. Is (36\/(-7))\/(39\/b) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42962, 42851, 42660, 42383, 42014, 41547?\nAnswer: 40976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8067 divided by 1542.\nAnswer: -2689\/514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s + 4*s - 291122 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 11:47 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0022547481696 rounded to five dps?\nAnswer: 0.00225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 5 - 6)*(3*y**3 + y**2 - 2*y**2 - 8*y**3)*(-2 - 2 + 2) as f + j*y**3 + b*y**2 + k*y and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 17 = 13 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 1 = -7*m. Solve 5*c + 2*g - 15 - 2 = 0, -2*c + 9 = m*g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1068 - 393. Let s = 675.00662 - i. Round s to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = -57 - 69. Let x(d) = -5*d - 97. Let s be x(y). Do s and 0.4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 2*j**2 - 4*j + 2. Let i be p(3). Let w be ((-350)\/(-1715))\/(-2*1 + 4). Which is bigger: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*m - 1467 - 4379 = 4054 for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6.74891 kilometers?\nAnswer: 6748910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 130.672 - 131. Let d = x - 6.832. What is d rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2364 divided by 116.\nAnswer: -591\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1875 is divided by 623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05 - 0.25. Let c = -1.7 - -0.9. Let a = c - y. What is the third smallest value in -1\/6, a, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 356474?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23430 by -33.\nAnswer: -710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*k + 84 = -102*k. Let i(y) = -59592*y**3 + 6*y - 14. Let p be i(k). What is p rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.9 + -2.2. Are -2 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3\/2 - 2139*o**2\/2 - 8493*o\/2 + 10635\/2.\nAnswer: -3*(o - 1)*(o + 5)*(o + 709)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*s - 6 = 5*c, c = -5*s - 7. Let x = s + 4. Suppose 0 = -h - x*h. Solve -j + 3*t + 11 = 0, h = 5*j - 3*j - 2*t - 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 3 + 4 + (11 - -6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 9:20 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14394 and 12?\nAnswer: 14406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 596851.\nAnswer: 596851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2996 + 3052. Solve 11*u + p - 34 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1032, -4002, -8938, -15840, -24708?\nAnswer: -35542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**2 + 5*u + 14. Let a = -26 - -19. What are the prime factors of c(a)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -844 + 63*o**4 + 2*o**2 + 120*o**4 - 707 - 685 - 113 + o**3 wrt o.\nAnswer: 732*o**3 + 3*o**2 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 899 and 105565075?\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -55*u + 19*u + 2. Solve u = -6*t - 21 + 57 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/22? (a) -8\/3 (b) 3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*b - 353 = -554. Solve 2*h - 4*a = 20, 2*a + b = 6*h - 7 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2. Let j(o) = -32*o - 32 + 32. Give j(v(f)).\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 3, n: 3, r: 3, q: 6}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 44728*t + 3713585 wrt t.\nAnswer: 44728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, y: 2, g: 6, f: 1, n: 5, l: 1}. What is prob of sequence gfty?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.2 + -1.3. Let w = 3.9143 + 0.0857. What is the nearest to 4 in f, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98991626?\nAnswer: 2, 49495813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*g + 59*g - 571 = 458. Solve 19*v = g*v - 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1 + 0 + 3 - -9 is divided by (4 + 152\/(-32))\/(6\/(-24)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/17 in -2\/9, 1, -4, -0.4, 0.12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3321216 (base 7) to base 2\nAnswer: 1100011110000110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3369447768.585 and 29?\nAnswer: 3369447797.585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4\/9)*f*(f**(-3\/4)\/f*f)\/f)\/(f\/(f*f**(-1\/8)))**(-41) assuming f is positive.\nAnswer: f**(283\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8205 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13046 divided by 2.\nAnswer: 6523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -509 + l**2 + 509 - 1687273*l**3 - l**2 + 1687271*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b**2 - 14*b**2 + b**3 - 14 + 16*b**2. Let v be j(3). Find c, given that -22\/5*c**3 - 8\/5*c - 6\/5*c**v - 24\/5*c**2 + 0 = 0.\nAnswer: -2, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004315 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 59.0415, 0, 1\/8, -2\/3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -3*m + m. Let h = -19 - m. What is the highest common divisor of h and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 8 - -1 - (-1546 + 1550)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -48, 1 in descending order.\nAnswer: 20, 1, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 601955 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4661432.\nAnswer: 2, 97, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*q**3 + 324*q**3 + 170*q**3 - 612*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l = 6*l + 39942. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 15955 + 17*j - 15960.\nAnswer: 15*j - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 10*x**2 + 8*x + 4. Let n be p(9). Which is the biggest value? (a) 2 (b) 1\/76 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2508931129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 2*p**4\/3 - p**2 - 3*p. Let j be m(2). Let o = j + -16. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 h when three letters picked without replacement from hhhqohhqofnfhooh?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**6\/10 + n**3\/2 - n - 3. Let t(r) be the first derivative of s(r). Find the second derivative of t(c) wrt c.\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/17)*q)\/(q**(-26)*q))**(-2\/19) assuming q is positive.\nAnswer: q**(-922\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4433 + 11302?\nAnswer: 20135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**3\/3 + 3*t**2\/2 + 3*t - 1. What is n(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 72*i - 74*i = 9, -2*t + 9 = -i. Which is the nearest to 3? (a) -16 (b) 4 (c) -3\/7 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12112 - -12114. Factor -3\/7*t**f - 48\/7 - 24\/7*t.\nAnswer: -3*(t + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 870 and 22?\nAnswer: 9570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-5 + -1*sqrt(147) + 3)*-2 + 3 + -4)**2.\nAnswer: 84*sqrt(3) + 599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45740 to the power of 1\/2, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, 0.15, -7?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -1529*l**6\/30 - 687*l**2\/2 + 2*l + 1177. What is the first derivative of a(u) wrt u?\nAnswer: -6116*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 7. Let l be (-10 - 0)\/(10\/(-15)). Let u be t(l). Solve 3*r + 5*c + u = 0, -4*c = -r - r + 22 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 390083\/95359 - -2\/8669. Calculate the common denominator of r and -3\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 646 and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21100436?\nAnswer: 2, 7, 753587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 91 - -7?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -13*f + 10. Let g be c(2). Let x = 16 + g. Solve -4*k - 12 = -x*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1107723?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (12 - (8 - -10)) + 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36804597419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6.605 and 301.\nAnswer: 294.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((11830\/21)\/(-26))\/((-80)\/(-96))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*(sqrt(475) + -1))**2 - 6*(4 + (-1*sqrt(475) - sqrt(475)))**2.\nAnswer: 404 + 230*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - j - 13, -3*k + 43 = 7*j + 15*j + 77 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 6*y + 3*y)*(y**4 - y**4 + 2*y**4) + 0*y**5 - y**5 - 2*y**5.\nAnswer: -9*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04 - -1.04. What is the second biggest value in -2\/5, -0.2, q, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268495 is divided by 13756?\nAnswer: 7131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*k - 1723179 = 3*k + 1506099. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-426016)\/48)\/(60\/(-63) - (-4)\/14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/7)\/(0 - (-4)\/14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*b = -168, -o + 5*b + 26 = -30. Calculate the remainder when 111 is divided by o.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**2 + 76 - 218 + 68 + 68 - p to the form x + u*p**2 + k*p and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 310 - 198. Suppose 3*g = 5*u + 8*g - 160, 0 = 3*u - 5*g - f. Suppose -84 = -4*l + 4*p, 4*l + 2*p - 26 - u = 0. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 6*t**2 + 13*t. Let l be v(-8). Calculate the highest common divisor of l and 456.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*p**2\/2 + 1015*p\/2 + 335.\nAnswer: 5*(p + 67)*(3*p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 12 = 3*n, -6*y + y - 2*n - 14 = 0. Let c be ((-4)\/2)\/y*-1. Let p(s) be the second derivative of s**5\/4 + s**4\/6 + s**3\/6 + s. Determine p(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1508\/7 + 216. Let x = 16.807 + -0.007. Let l = x + -17. Which is the third smallest value? (a) j (b) l (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*l - 10*l**3 + 1287 + 134*l**4 + 4*l**3 + 61*l - 1287 wrt l.\nAnswer: 1608*l**2 - 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7541, -8177, -8813, -9449, -10085, -10721?\n\"Answer: -636*s - 6905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(19)*3*5.\nAnswer: -60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.367 (c) 0.2 (d) 0 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - s + 2*s)*(3*s + 2*s - s).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 7*h**2 - 14*h - 8. What is the units digit of t(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 1:13 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 14) in base 13?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -m**5\/60 + m**4\/9 - m**3\/18 - m**2 - 34*m + 190. Let b(r) be the first derivative of g(r). Factor b(h).\nAnswer: -(h - 3)*(h - 2)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/51 and -113\/1122.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h + 6. Let p(j) = -6*j. Calculate p(m(i)).\nAnswer: 24*i - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + -1 + (-1 - -8) + 4. Let p be -19 + 27 - 1\/(2\/i). Let 0 - 2*v**2 - 1\/3*v - 3*v**3 - 4\/3*v**p = 0. What is v?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 + 26. Let h = 2.6 + -2.6. Which is the fourth smallest value? (a) z (b) 5 (c) -1 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**5\/20 + m**4\/24 - m**3\/3 + 118*m**2. Give v(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k - 33. Let i be c(-12). Suppose 3*t = -5*v, -3*t - i*v = -v - 9. Solve -t*h - 7 = 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -779 (c) 0 (d) 3\/11 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 838.\nAnswer: -9\/838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0454 in 0.2, -3\/7, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*w - 12375 + 12591 = 0 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnpmpppjj. What is prob of sequence pp?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -18. Suppose g*d - 3*j = -48, -3*j + 1 = -2*j. Calculate the least common multiple of 16 and 76\/6 - (30\/d + 4).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-201)\/(-234) + 1508\/(-58812).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 5*x = -7*i - 7, -4*i + 11 = -3*x. What is the common denominator of (-123)\/42 + (i - 3) and 29\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4114 or 4121?\nAnswer: 4114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-6) - 56\/12. Let l = -87 - -91. Sort l, 1, w, -1 in decreasing order.\nAnswer: l, 1, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46344.78047 plus -13?\nAnswer: 46331.78047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 8. Let z = 151\/40 + -35\/8. What is the closest to -0.05 in a, z, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 210 and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6322 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*h - 36 = -4*o, o - 17 = 3*h. Sort -1, o, -4 in ascending order.\nAnswer: -4, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 8 = -a, 0 = a + 2*w + 3. Let y be -1 + 508 - (9 + a). Suppose 225 = 7*t - y. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 823217 by -54.\nAnswer: -823217\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 171, 15\/8, -4, -123, 3\/5?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 1 + 8*f - 7 + 7*f**2 + 8*f**3 - f**4 - 2. Let w(h) = -h**3 - h**2 - h + 1. Let c(d) = 5*s(d) + 40*w(d). Find the third derivative of c(o) wrt o.\nAnswer: -120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2 = -3*b + 7, -3*b + 5*x = -15. Suppose 3*t + 4*c - 5957 = b, -5*c = 3*t - 6573 + 620. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 455.784 and 605372?\nAnswer: 604916.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxkqlqkkzkqizxklkkqz. What is prob of sequence qz?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54.018 + -1.018. Which is the nearest to 1? (a) -38 (b) n (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 339840 and 15340.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 6*a + 10. Let j be f(-7). Let m = 18 + -16. Solve q + j*q = -3*z - 17, 2*z + 10 = -m*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/92 and 81\/23414?\nAnswer: 46828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 less than or equal to 0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 4*j = -4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*((-66)\/12 - -6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 4*w**2 - 7*w - 10. Let z be d(-3). Let y(x) = 34*x**2 - 2*x + 1. Is 19 a factor of y(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 4 - (-95 - (32 + -22 + -40)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5858627 divided by 1.\nAnswer: -5858627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.79769633 - 444\nAnswer: -444.79769633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 13.11. Let g = k + 4.11. Let r(f) = -f + 1. Let o be r(5). Put o, -2, g in decreasing order.\nAnswer: g, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.28 - 6.72. Let k = -6.9999894 - n. What is k rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 275090239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**4 + y**4 + y**4 - 3*y**4 - 315*y**4 + 0*y**4 + (-4 + 4 + y)*(4*y**2 - 4*y**2 - 2*y**3) to l*y**3 + x*y**4 + w*y**2 + c + r*y and give x.\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jplpjljjlljjjjjjjlj. What is prob of picking 1 j, 1 p, and 2 l?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 4*q**2 + 5*q - 1. Let u be l(3). Suppose -u*g = 4 + 26. Let m be (-44)\/g + 4\/6. Solve 2*o + m = -j + 3, -5*j = -o - 30 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 - -0.4. Let y = 0.14 + -0.04. What is the nearest to h in -3, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1976270?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1620301 divided by -2033\nAnswer: -797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52081.7 - -52081. Let s = 0.1 - -0.9. Let j = s - 1. What is the closest to j in a, -4\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(-4 - ((-3)\/18 - (-52)\/(-12))). Which is the nearest to q? (a) 1\/4 (b) -1.7 (c) -2 (d) 5\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.088 + 1.182. Let a = 21.73 - 22. Let z = a + t. Put -2\/9, -1\/6, z in decreasing order.\nAnswer: z, -1\/6, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 36198428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 3, -425, 27 in descending order.\nAnswer: 27, 4, 3, -5, -425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v + 12 = s, 5*s - 3*v = 60. Suppose 2*r = 5*z - 20, -z - 4*z = -5*r - 35. What is the second derivative of 12 + z*x**3 + 2*x - s wrt x?\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 2:17 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152564 is divided by 19059?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-20)\/(h**(-17)\/h)*(h\/h**(17\/5))**(-24))**(-37) assuming h is positive.\nAnswer: h**(-10286\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1106 is divided by 547?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 3, x: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33270185.41 rounded to the nearest 100000?\nAnswer: 33300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*p = -91*p - 43716. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1242112 (base 5) in base 9?\nAnswer: -36736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7767\/17 - -457. Let b be -1*1 + 4\/2. Does b = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 108 + -77. Suppose p = v + 61, -v + 5*p = -2*v - d. Let a be ((-48)\/v)\/((-6)\/(-28)). Solve -a = g + 3*x, 0 = -3*g - x + 3*x - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 780?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 126187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (195872\/18363)\/(1\/6)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.916 rounded to 0 decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1169 - -1193. Which is greater: f or 18?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/(-8))\/(6\/(-16)). Let l be 2\/w + (-12)\/16. Let d = -1 - -0.88. Which is smaller: l or d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1728)*4*-4)\/((6*(sqrt(378) - 2*sqrt(378)))\/sqrt(7)))**2.\nAnswer: 2048\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d**4 + 31*d**3 + 18*d**2 - 6*d wrt d.\nAnswer: -72*d + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176888 is divided by 165?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -1. Let b(q) = q**3 - q + 1. Let s(j) = -6*j**3 + j**2 + 4*j + 118. Let f(l) = x*s(l) + 5*b(l). Is f(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + 2. Suppose 16 = -14*c + w*c. Solve o = c*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -20 + 232*j - 122*j - 115*j. Let p(h) = -2*h - 7. What is 6*d(w) - 17*p(w)?\nAnswer: 4*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = x - 4*w - 85, 491 = 5*x - 3*w. Let b = x - 40. What is the greatest common factor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*o - 1873 + 2353 = 0 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 380 - 378. Factor 0*k + 1\/3*k**h - 1\/3*k**3 + 1\/3*k**5 - 1\/3*k**4 + 0.\nAnswer: k**2*(k - 1)**2*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 24 (b) 5\/2 (c) -5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -64702256954 less than 2?\nAnswer: 64702256956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 4 + u + 2*u. Let o be c(4). What is the highest common factor of o and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 12694?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (12\/(-3) + 12). Which is the second biggest value? (a) -0.2 (b) -4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 22 (b) -0.5 (c) -1\/3 (d) 0.8 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times -1049276\nAnswer: -20985.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*9\/((-81)\/6). Solve 7 = -x*a - 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79 + 111. Calculate the smallest common multiple of 112 and n.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + d - 9. Let t be z(3). Suppose 14 = t*x - j - 8, x + 2 = -2*j. Sort x, 0.1, -2 in decreasing order.\nAnswer: x, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 0.5 (b) -2 (c) 3 (d) -4 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/29))**(-1\/57) assuming u is positive.\nAnswer: u**(-1\/1653)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 101 divided by -198555\nAnswer: -101\/198555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4644918 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**8)\/(a**(-3\/2)*a)*a*a**(-2\/5)*a\/a**(2\/9)*a*(a**(-4\/5)\/a*a)\/a**(-1\/6)*(a\/(a*a**(1\/4)\/a*a*a))\/(a\/(a*a*a**(2\/9))) assuming a is positive.\nAnswer: a**(-287\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 80 (base 9) to base 4\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or -165?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44554?\nAnswer: 2, 22277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.13 - -0.03. Let l be (-1)\/(-3) - (-32)\/12. Let g = 6 - 10. Which is the closest to g? (a) i (b) l (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + (-1 - 1) - (1782 - 1778)) + 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1313947?\nAnswer: 17, 77291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81448.\nAnswer: 2, 10181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 - 4584*l - 384426.\nAnswer: 2*(l - 2373)*(l + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 626484.3um to millimeters.\nAnswer: 626.4843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 5 = -4*l, 199 = 2*l - w + 198 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + (-2*(sqrt(48)*-2 + 5*sqrt(27))*-1)**2 + 4).\nAnswer: -2388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*y**2 + 37*y**2 - 21*y**2 - 7*y + 5*y + 17*y**3 to the form v*y**2 + d*y**3 + g + h*y and give d.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27179105 is divided by 3882729.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -1, 4, 115 in descending order.\nAnswer: 115, 20, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 57, 116, 193, 294, 425, 592?\nAnswer: 801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6606.638 meters?\nAnswer: 6606638000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -183\/4 - -1289\/28. Which is the nearest to q? (a) 3 (b) 7 (c) -0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -1\/35, 15\/113, -2\/19, 7 in increasing order.\nAnswer: -2\/19, -1\/35, 15\/113, 1\/2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 458671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3595 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*n**3 + 684 - 1365 + n**2 - 5*n**2 + 680 to the form o*n + z*n**3 + s*n**2 + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3557824, -28462531, -96061016, -227700169, -444726880, -768488039?\nAnswer: -1220330536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(525))\/(-2*sqrt(300)) + ((-3 + (sqrt(567) - (sqrt(567) + 2)) - sqrt(567)) + sqrt(567) + sqrt(567) - (sqrt(567) + 2)*4)**2.\nAnswer: 701*sqrt(7) + 5272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((-5 - -1) + -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 o when three letters picked without replacement from mppjpotjpptjojoo?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 1)\/((-6)\/(-4)). Is 1546\/10 + t\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42394835 to the power of 1\/2, to the nearest integer?\nAnswer: 6511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -1668354, 1 in decreasing order.\nAnswer: 13, 1, -1668354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154623947.\nAnswer: 154623947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*w - 100742 = 0, 3*t - w + 6*w - 75600 = 0. What is the thousands digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 2*i**5\/15 + i**4\/12 - i**3\/6 + 5*i**2 - 2. Determine k(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 28*l**2. Let h(a) = 1333750*a. Give h(c(o)).\nAnswer: 37345000*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2) + (-3)\/(-6). Let q be (4\/182)\/((-135)\/945). What is the biggest value in q, w, 3.5?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 2*b**2 - 4*b + 3. Let r be c(3). Let q(x) = 3*x + 1. Let g be q(1). Let l be g\/(-12) + 0\/1. Which is smaller: l or r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*i = -i + 6, -5*h - 8 = -i. Let l(z) = -4*z**3 + 2*z**2 + 6*z. Let w(f) = -11*f**3 + 6*f**2 + 17*f. Let j(p) = -8*l(p) + 3*w(p). Calculate j(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/66 and 13 - (-423)\/(-33) - (3913\/(-2442))\/(-7).\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2241\/220 + -19\/220. Find the common denominator of 20\/50 - 134\/(-20) and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dnpdppdndyddddppdn. Give prob of sequence ndyd.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32895983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 506874?\nAnswer: 2, 3, 23, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -10 - (0 + (-5 - -9))) + -6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72387 + 72389. Let o = 6 - 5.87. What is the biggest value in o, j, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, b: 2, h: 2, g: 2}. What is prob of picking 2 g?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006 - -1.21?\nAnswer: 1.204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2005*0.096.\nAnswer: 192.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 8*i + 15*i - 3*i**2 + i**3 - 26*i to the form c*i**2 + x + n*i + u*i**3 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -184 (b) 0.08 (c) 0.2 (d) 3 (e) 267 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1242? (a) 5 (b) -3 (c) 34 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -230752818?\nAnswer: 230752821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -904 + 909. Let h = -22 + 24. Which is the closest to h? (a) -9 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from {v: 2, e: 12, s: 1, k: 1, u: 2}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from {h: 2, b: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine halves of a century?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + -17*(-4)\/(-28). Let s = 1145.07 + -1145. Put u, 0.3, s, -0.03 in decreasing order.\nAnswer: u, 0.3, s, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 17*p + 38. Let r(y) = y**3 - 18*y**2 + 18*y - 36. Suppose -10*z + 209 = 39. Let x be r(z). Let a be m(x). Solve a = 4*k - 2*k - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5\/8)*j)**(-2\/11)*j**(2\/9)*j*j*j**(2\/19) assuming j is positive.\nAnswer: j**(16999\/7524)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2.23*4\nAnswer: 8.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**5 + 2*p**5 - 3*p**5 + (-12*p**4 + 5*p**4 - 9*p**4)*(-p - 3*p + 2*p).\nAnswer: 33*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6401 and 518.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 19417 and 23556?\nAnswer: 4139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 3, 5, 34, -198 in decreasing order.\nAnswer: 34, 5, 3, 1, 0, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 3 - 26 + 2*v**2.\nAnswer: 2*v**2 - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 8*h - 15*h**2 + 6*h - 2 + 3 + h**3 + 1. Let m be q(14). Suppose -3*r = m*a - 2840, -2*r + 1208 = a - 211. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -3\/10, -17 in decreasing order.\nAnswer: 0.2, -3\/10, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((-9 - -4) + 11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7055.6193 - 7055. Round b to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1255178413 + 11*a**3 + 1255178413 + 62*a.\nAnswer: 11*a**3 + 62*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 0. Suppose n + 2*a = 11 - 3, 0 = -5*n - 2*a + 24. Put t, 1, n in increasing order.\nAnswer: 1, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 12*x = w + 1886, 0 = -x + 3*w + 642. Calculate the highest common factor of 66 and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4608556961?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/136)\/(8\/(-48)*-3)*18?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -25. Let z be (-7)\/o + (-1)\/3. Solve 3*g - z*i + 1 - 19 = 0, 4*g = 4*i + 28 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 23441*k + 608793. Determine w(-26).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241*j**3 - 491*j**3 - 83*j + 165*j + 226*j**3 - 82*j.\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4281 = 11229. Let b = -1645 - h. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 370, 338, 254, 94, -166, -550?\n\"Answer: -4*s**3 - 2*s**2 + 2*s + 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 33 + -34 + (3 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6281150 and 90115.\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 4*s - 8. Suppose -2*y + 30 = 3*y. Let w be d(y). Suppose -79 = -w*i + 1. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 c, and 2 t when four letters picked without replacement from {m: 2, a: 7, g: 2, c: 2, t: 5}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2185317907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.19*-5853.3\nAnswer: 1112.127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dssssssdsssssssdssd. What is prob of picking 1 s and 1 d?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 97760 and 50713?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359128107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/5))**(-35\/6)*a\/(a\/(a*a**(-5)))*a*a*a*a\/a**(-7) assuming a is positive.\nAnswer: a**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31989 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77274.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-20)*2\/(-12)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.854636 to 0 decimal places.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106627653?\nAnswer: 3, 11, 1077047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfn when three letters picked without replacement from {s: 4, n: 8, f: 1}.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of v**6\/2 + 69*v**5\/5 + 189*v**4\/4 + 61*v**3 + 30*v**2 + 561. Factor p(z).\nAnswer: 3*z*(z + 1)**3*(z + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 33, 115, 243, 417, 637, 903, 1215?\n\"Answer: 23*u**2 + 13*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.0297 to 1 dp.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 16\/5 (c) -3 (d) 22336\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/8, -4, -3\/34, 3, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3866 and 13.\nAnswer: 3879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130 = -21*n - 5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 41 = -7*l, -u = 5*l - 24 + 13 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 583595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63158000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 3981\/763 - 522\/109. Factor -3\/7*c - 6\/7 + i*c**2.\nAnswer: 3*(c - 2)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 90\/571?\nAnswer: 90\/571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -772*y - 25 + 246 = -759*y for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21725538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-6)*1\/(1\/4) - 4. Solve v*s = -4*w + 6, -50*w + 51*w - 4*s = 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 12:52 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 5071257.1 days?\nAnswer: 724465.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -751*r + 2518. Let x(m) = 376*m - 1255. Let y(d) = 4*k(d) + 7*x(d). Differentiate y(p) with respect to p.\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1, 10, 31, 70, 133, 226, 355?\n\"Answer: x**3 + 2*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 11, i: 2, c: 2, x: 4}. What is prob of picking 1 x and 1 c?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -743314 or -743312?\nAnswer: -743312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*i = 190*i + 78. Sort i, 3, -2.\nAnswer: i, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 10*t - 7. Let i be s(-7). Suppose -5*w + i = -1. Solve -2*c = -f + 5, w*f + 3*c + c = -15 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2479*i**6*r + 647*i**3*r - 52*i**2*r - 3*i**2 + 251*i wrt i.\nAnswer: 297480*i**3*r + 3882*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4141, 3630, -0.3?\nAnswer: 3630","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, c: 4, q: 3}. Give prob of sequence qcc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -207.9 - -208. Let f = 2.6 - 0.6. Do g and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 10. Let p be -10*k\/(-12)*90. Let s = p - -220. Calculate the greatest common factor of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) 1 (c) 0.16 (d) -809 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212582*k**3 - 6*k + 6*k.\nAnswer: -212582*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 78?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + (sqrt(80) + sqrt(80)*3)*-3 + -1 + sqrt(80) + (sqrt(80) - sqrt(80)*-4*4 - sqrt(80)) + sqrt(80) + sqrt(80) + sqrt(80) + 2 + -4)**2.\nAnswer: -192*sqrt(5) + 5125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5131, -10264, -15395, -20524, -25651, -30776, -35899?\nAnswer: -41020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523155927.\nAnswer: 3, 7, 563, 44249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 4*w**2 - w - 7. Let f be b(5). Let k = f - 10. What is the closest to -2 in -0.4, k, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130851508096 - -1291\nAnswer: 130851509387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34915879?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -26396*q - 105591. Determine u(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) 5 (b) -1\/3 (c) 0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 562672 a multiple of 1012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 15) to base 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8067 divided by 51?\nAnswer: -2689\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3480835175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + -3. Let y be (-4)\/16 + (-16000002)\/z. What is y rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 15) to base 12\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) -4\/13 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(0 + sqrt(567)) - sqrt(567)*-2*-2) + 4*sqrt(847)*2*6)**2*2.\nAnswer: 3902976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 67517311?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 202 and 4.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 - 4*f. Let b(a) = a**2 - a. Let y(k) = 4*b(k) - q(k). Let x(v) = -5*v**2. What is x(y(m))?\nAnswer: -20*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27.1 + 26. Let v = r + 1. Let n be (-10)\/(-12)*18\/(-40). Sort -2, v, n.\nAnswer: -2, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1711559 to the power of 1\/2, to the nearest integer?\nAnswer: 1308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8994191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/25)*a**(-9))\/(a**5*(a*a**(-11))\/a) assuming a is positive.\nAnswer: a**(-73\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/306127 greater than or equal to 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/13))**1 assuming r is positive.\nAnswer: r**(1\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3971633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 3*w + 7. Let f = w - 29. Suppose 2*s + 3*v - 73 + 17 = 0, -140 = -f*s - 4*v. Does 28 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156 - 7*v + v + 156.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -10619417\nAnswer: 5\/10619417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*h - 1459 = 0, -2436 = 7*y - 2*y - 4*h. Let v = y - -931. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -890 take away -872?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16031 + -651?\nAnswer: 15270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 4 = -195*s + 203*s, -36*o - 4*s - 40 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 10:57 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 30.77401 centuries?\nAnswer: 307.7401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12122 (base 3) to base 4\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -105987875*z**3 + 10904*z**2 - 595?\nAnswer: -635927250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10900 + 10895. What is the closest to 0 in 0, -2\/301, w, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/20)\/(3\/5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 176*d**2 + 36*d + 118. Does 65 divide n(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 6*y**2. Let s be n(6). Suppose s*v = -v + 6. Let d = v + -2. Solve -2*z = -2 - d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f - 4. What is h(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - p - 3. Let a be u(4). Let h be 1*(-1)\/4*-8. Let x be (-24)\/h*27\/(-6). What is the greatest common divisor of x and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*i - j = -194, 2*i - 372 = 2*j. Calculate the greatest common factor of 25 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10 + 3 + 5 + (9 - 7). What is the fifth smallest value in -26, -14, v, -0.5, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmmmmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32012133 - 200233?\nAnswer: 31211300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + 0 + 4 - (-5*sqrt(85)\/sqrt(5) + sqrt(17)).\nAnswer: 4 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 5*c - 19, -4*g + 39 - 8 = -c. Which is smaller: 7 or g?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 - 159709564*s - 3188393104133762.\nAnswer: -2*(s + 39927391)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vmzi when four letters picked without replacement from vviizgvzgmzzii.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2330, -2337, -2348, -2363?\n\"Answer: -2*i**2 - i - 2327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 83*p**2 - 2*p. Let v(k) = 17584*k. Calculate c(v(s)).\nAnswer: 25663355648*s**2 - 35168*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*m*u*w + 2*m*u - 8854*m*w - 2*m + 15*u + 84 with respect to w.\nAnswer: -6*m*u - 8854*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9844 + -0.0156. Sort p, 5, 14, -5\/2 in increasing order.\nAnswer: -5\/2, p, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t. Let o(x) be the second derivative of x**3\/3 + 9*x**2 - 5*x - 3. Let q(y) = -6*y - 55. Let w(d) = 17*o(d) + 6*q(d). Give h(w(c)).\nAnswer: -2*c - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u + 16 = 0. Suppose -6*i + u*i = -4. Let h(d) = 1 + d + 31*d**2 - i*d - 32*d**2. Determine h(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -9*l**2 - l - 11. Let x(h) = -16*h. What is x(q(f))?\nAnswer: 144*f**2 + 16*f + 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b - 14. Let s be p(-3). Let a be (-6)\/(-4) + 266\/s. 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: Differentiate -3496524*r**2 - 12150371.\nAnswer: -6993048*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, -0.501, 1?\nAnswer: -0.501","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 157*z**2 - 158*z**2 + 1 + 2 - 4*z**3 as l*z + j*z**2 + h*z**3 + x and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -14 and -28.8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*f - 1. What is the units digit of -4*(f\/2 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1676 = -44*q + 2644 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4*g - 3 = 5*t, 3*t = 3*g - 18. Let a be (-112)\/6*(t - 0). Suppose -3*o + 1 + 41 = v, -a = -4*o + 4*v. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.8 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 284476, 284474, 284472, 284470, 284468?\n\"Answer: -2*z + 284478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4 - 4 = 0, 4*y - 4*a = -120. Let o = y + 26. Let h(n) = -n**3 - 3*n**2 + 1. Let m be h(-2). Sort 5, o, m, -1 in decreasing order.\nAnswer: 5, o, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 537393695 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 215892.931 rounded to the nearest 100?\nAnswer: 215900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 3:49 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1118 + -1117.1. Let d = 2.1 + -2.3. What is the nearest to -2 in d, o, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*v + 24, -v = 5*a - 7 + 25. Solve 0 = 3*k - v*k + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*i**3 - i**2 + 317 wrt i.\nAnswer: -12*i**2 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*x**4 - 13964810*x**2 + 27164240 wrt x?\nAnswer: 8*x**3 - 27929620*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e2 - c?\nAnswer: d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -42 - 1519\nAnswer: -1561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 12:54 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 8:05 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - c + 40. What are the prime factors of g(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37314055 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14.94 and -0.043.\nAnswer: -0.64242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1691 - 0.4691. What is the third smallest value in 3\/4, 0.3, f, -1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 363 (c) 0.4 (d) 0.3 (e) 24 (f) 232\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 - -3) + ((-3)\/(-3) - -26). Suppose -1170 - 505 = -g*k. Solve -k*r = -69*r - 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**3\/3 - 4*i**2 + i + 1. What is the units digit of d(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*j - 103 - 53*j - 145*j.\nAnswer: -47*j - 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.14 - -1.56. Let x = u + 6.3. Which is greater: x or -1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*k**2 + 23*k**2 + 26*k - 23*k**2.\nAnswer: -47*k**2 + 26*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3744)*-4)\/(sqrt(2) + (sqrt(4)*-5)\/sqrt(2)).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1261 and 33853?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 46b8a7 (base 13) to base 9\nAnswer: 3143474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 5\/1485054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 0*w + 118\/3*w**3 - 3481\/3*w**2 - 1\/3*w**4 + 0 = 0.\nAnswer: 0, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1, 20 in increasing order.\nAnswer: -10, -1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*c - 21*c - 15*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4687 and 344?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t**2 - 83*t - 43. What is h(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 5*s + 28, 2*s - 4*s = 2*l - 40. Suppose 2*k = -0 + 16. Solve l = 4*b + k for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -79, -428, -1 in decreasing order.\nAnswer: -1, -79, -428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*i - 96 = 0. Suppose 0 = -3*o - g + 122, -3*o + 5*g + 116 = 3*g. Calculate the greatest common factor of o and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36469 is divided by 36421?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4)\/(g*(g**2\/g)\/g*g))**(-31)\/(g**5\/((g*(g\/(g**(-3)*g))\/g*g)\/g)*g**2*g\/g**1) assuming g is positive.\nAnswer: g**(263\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -541*y - 3796. Let d be c(-7). What is the closest to 0 in 7, 2\/3, d?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-90)*-3)\/((-2)\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/8*4\/3. Suppose j*h - 71 = w, -w + 3 + 31 = h. Are h and 36 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -469, -1304, -2679, -4594, -7049?\n\"Answer: -270*a**2 - 25*a - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/78 and 113\/6645810.\nAnswer: 86395530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3390386?\nAnswer: 2, 563, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2607361\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/((-6)\/3) + -122. List the prime factors of 17 + ((-4)\/10 - r\/(-35)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-850)\/1020)\/(1\/6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-9)*4*3. Let v(t) = t**2 - 5*t - 1. Let x be v(b). Let g = -2154 - -2148. Which is greater: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 664838363 and 119.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, 2, -62, -4.\nAnswer: -62, -4, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**3\/3 + 26*c**2 + 147*c + 216 = 0.\nAnswer: -72, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 w, and 1 i when three letters picked without replacement from uiqqqdwq.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**4\/13 - 10430*n**3\/13 - 249438*n**2\/13 - 1401570*n\/13 = 0.\nAnswer: -5191, -15, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**6\/72 - a**5\/4 - 67*a**3\/3 + 61*a**2. Let p(b) be the first derivative of o(b). Factor p(i).\nAnswer: 5*i*(i - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 3*s - 828. Suppose -3*b = f - s, -f + 2*f + 5*b = 136. 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: What is next in -2322, -9286, -20892, -37140?\nAnswer: -58030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 645 + -643. What is the third biggest value in 3, 7, -0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244846117.\nAnswer: 277, 883921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-20))\/(71\/710)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 11 + 61. Let t(x) = -3*x - 5. Let f be t(-5). What is the greatest common factor of f and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 206, 416, 624, 830, 1034, 1236, 1436?\nAnswer: 1634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 356 and 388.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 1 = 3*t, -4*p - 136 + 140 = -4*t. Let n = 5 + 11. Solve 5*o - o + n = t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(68) + 1 - sqrt(68) - sqrt(68)) + (-3*(sqrt(68) - sqrt(68)*1))**2)*6.\nAnswer: -12*sqrt(17) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 655 and 152091.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*b - 1)*(-33*b - 36*b + 67*b - 10)*(-4*b + 9*b + 12*b).\nAnswer: -68*b**3 - 340*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (2 - 1) + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**7*l*((l**(-2)\/l)\/l)\/l)**24)**(-8) assuming l is positive.\nAnswer: l**(-576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*b**3 - 19*b**3 - 4*b**3.\nAnswer: 15*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 3*n + 3*m - 35, -5*m + 103 = 3*n. Suppose -8*k + n + 204 = 0. Let f = k - 27. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*(sqrt(180) + 0) + -4)*2 + 2)*1)**2.\nAnswer: -864*sqrt(5) + 25956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + (-18 - -5) - 13 - (0 + 1 - 21).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**4 + 62340*v**3 - 311804*v**2 - 62340*v + 311800 = 0. Calculate v.\nAnswer: -15590, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d - 4*d + 3*d)*(-10*d + 7*d - 10*d) + 2 - 3*d**2 - 64*d + 64*d as n*d**2 + j*d + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -3) + -4 + 7 + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*i + 20*i = 75*i. Let r(q) be the first derivative of -q**2 + 1\/4*q**4 + 19 + i*q + 1\/6*q**6 - q**3 + 3\/5*q**5. Determine c so that r(c) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10186\/15279*(8\/2 + 128)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 37. Suppose -19*s = -j*s - 8. Let t = -90 - -89.7. Which is the nearest to -2\/7? (a) 4\/3 (b) t (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {d: 5, k: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 55*z**2 - 85*z + 1832. What is l(-57)?\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1761\/22 + -80. Suppose 0*p + p = 0. Is p at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 521729?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 24\/80*(-4020)\/1474\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -25592 less than 5?\nAnswer: 25597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -67, -138, -209, -280?\n\"Answer: -71*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, a: 7, q: 4}. Give prob of picking 1 v and 1 q.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*b + 3*b + 4*b**4 - 5*b**4 wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-10) - 3) + 5 + -18.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 3*v**2 + 11*v - 6. Is f(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (5 - 0 - 11 - -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 100100111?\nAnswer: -100101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 119978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - -197807796621\nAnswer: 197807796620.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 3. Let s(r) = -r**2 + 1. Let x(t) = m(t) - s(t). Let y(b) = -2*b**2 + 5. Let l(o) = 5*x(o) + 4*y(o). Let c(z) = 3*z**2. Calculate l(c(i)).\nAnswer: 18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*((-45)\/6 + 2). Let u = -8 + t. Let v = u - 2. Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 3*t + 31. Let j = 16851 + -16861. Calculate b(j).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9055 - 543343\/60. Find the common denominator of 73\/102 and j.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -120*m + 9780. What is a(86)?\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 <= 11559\/38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 2*p + 5200 - 5266 = 0, -4*t = -p - 38 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 45569*y**2. Let t(w) = -9*w. What is t(v(o))?\nAnswer: -410121*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -155697266*p**2*x**3 - 2*p*x**3 - 124*p*x**2 + 13*p*x + 3*x**3 - 58*x wrt p?\nAnswer: -311394532*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 5*d - 34 + 10 in the form a + p*d and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -6. Suppose 5*s - 28 = -o. Solve 9 + 1 = -s*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 21. Let a(i) = -i**2 - i - 1. Let s(n) = -n**3 - 3*n**2 - 5*n - 3. Give f*s(k) + 3*a(k).\nAnswer: k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.2713554815 + -6?\nAnswer: -16.2713554815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4\/5 - 638*p**3\/5 + 1896*p**2\/5.\nAnswer: 2*p**2*(p - 316)*(p - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -91, -7999, 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s - 4*s - 2*s to i + l*s and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 891342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccqccqccccc. Give prob of sequence qcq.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -529498, -529497, -529496, -529495?\n\"Answer: h - 529499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**4 - i**3 - i**2 - 2*i + 1. Let x(m) = 35*m**5 + 705*m**4 + 1370*m**3 + 697*m**2 - 78*m - 71. Let j(s) = v(s) - x(s). Determine h so that j(h) = 0.\nAnswer: -18, -1, -2\/5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ae78 (base 16) in base 6?\nAnswer: 542440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 - -459. Let y = q + -396. Let j = -1489\/1394 - -33\/34. Which is smaller: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1005239886 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u + 5. Let b(p) = p + 3. Let m(x) = 7*b(x) - 2*c(x). What is the remainder when 22 is divided by m(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*p**2 + 6*p**5 - 3*p**5 + 3*p**5 + 7*p**2 wrt p.\nAnswer: 360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.192 - 14.192. What is the fourth biggest value in i, 0.2, -2\/9, 2, -0.717?\nAnswer: -0.717","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2069\/8 + -259. Let i = -42191.1 + 42191. What is the closest to 2\/3 in w, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43327 + -29797. Is 30 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 484*x**2 - 961*x**2 + 480*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = 2*c. Let f(s) = 13*s**3 + 2*s - 1. Let i be f(c). Let o = 30 - i. What is the smallest common multiple of o and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 370 and 4.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*u - 16. Let y = 13423 - 13418. What is the remainder when u is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7179678 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 20*z**2 + 3*z. Let m(f) = -f**2 + f. Let w(n) = d(n) - 2*m(n). Let a be w(1). Solve 2*r + 5*v = -a, -3*r + 3*v + 4 = 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 2 = 405*n - 402*n, 2*n = -3*o + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q*q**(-2\/7))\/q)**(-27))**(1\/5)\/(((q**1\/q)\/((q\/((q*q*q\/q**4)\/q))\/q*q))\/((q\/q**(-5\/6))\/q**3)) assuming q is positive.\nAnswer: q**(-85\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19 and 8.53.\nAnswer: 162.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k + 1. Let h be s(1). Suppose h*i + 4 = 18. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185209 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**6\/120 - f**5\/60 - f**4\/6 + 2*f**3\/3 + 87*f**2. Let y be a(1). Solve 4 = -y*q + q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6332 + -6332. Which is smaller: u or 5\/1247?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a2 - -40?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 7*h**2 - 14 + 3*h**2 + 14 - 8*h**2. Let v(y) = 17*y**2 + 2*y - 15. Let w(q) = 24*s(q) - 3*v(q). Find a such that w(a) = 0.\nAnswer: -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71\/228 - 5\/12. Let s = -5 + 4.7. Put a, s, -2, 0.08 in ascending order.\nAnswer: -2, s, a, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 2*j - 0*j - 82, j = -2*z + 32. Suppose -c + 6*c + 75 = 0. Let o = z + c. Solve 0 = -2*h - o*h - 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1519710, 1519708, 1519706?\nAnswer: 1519704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/20*(-4725)\/(-75))\/((-6)\/(-20))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 724, 730, 732, 724, 700?\n\"Answer: -n**3 + 4*n**2 + n + 720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -221021221101?\nAnswer: -221021221100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(133)\/sqrt(7))**2 + sqrt(19) + (sqrt(38)\/sqrt(2))**2*6.\nAnswer: 11*sqrt(19) + 158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 570*b - 182*b - 189*b - 201*b.\nAnswer: -2*b - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2. Let r(v) = -28*v**2 - 470274. Give r(s(m)).\nAnswer: -28*m**4 - 470274","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18282 or 18283?\nAnswer: 18282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*x - 75*x = 75*x + 945 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**4\/4 + 8*a**3\/3 + 5*a**2 + 15*a - 6. Let l = 80 - 86. List the prime factors of y(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4431.96 micrometers to millimeters.\nAnswer: 4.43196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 6. Determine t(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 277 + -258. Solve -24*r + y*r = 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 12) in base 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 1215*d**2. Let q(x) be the third derivative of -x**5\/20 + 2028*x**2. Give o(q(g)).\nAnswer: 10935*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 5*n - 75 - 12 = 6*a, 0 = -5*a - 0*a - 2*n - 6*n - 77 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 580964999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4271569\/63 at least 67804?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 2 = -79*r + 78*r, 3*r + 4*h - 11 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c - 132. Let u(a) = -2*a - 87. Give 7*u(t) - 5*x(t).\nAnswer: t + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -67532 + o**2 - 6*o**2 + 67532. Let r(d) = -120*d. What is r(y(n))?\nAnswer: 600*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48498.\nAnswer: 2, 3, 59, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9454a1 (base 13) to base 15.\nAnswer: -4876d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 25*q - 36*q**3.\nAnswer: -36*q**3 + 25*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -973*h = -180*h - 11102 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -970 (base 14) to base 5.\nAnswer: -24422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**0\/i*i))**(2\/29)*i**(-3\/2)\/(i*i**6*i))\/((i**(-1\/2))**31\/(i\/i**(4\/7)*i**(1\/2))) assuming i is positive.\nAnswer: i**(97\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - 0 - (48 - (16 - -29)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7\/9, 2, -4321, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 582?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 33?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2165*o + 74642 = -35773 for o.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-82)\/(-1968)*26*1*-4\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 3*q + q, 4*q - 16 = 2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 480\/2761 - -2\/251. Let v = -129 + 129.158. Let n = v + -0.358. What is the second smallest value in 5, j, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14577274 to the power of 1\/2, to the nearest integer?\nAnswer: 3818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 780*t + 67055. Calculate w(-86).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8451144 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1352550145 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 10, y: 2}?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 = -3*u + 5*i - 1 + 98, -6*u + 2*i = 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -220222 (base 3) in base 8?\nAnswer: -1242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**5 - 64*b**3 + 12*b**2 - 7*b.\nAnswer: -60*b**2 - 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12020061, 12020060, 12020059, 12020058, 12020057?\nAnswer: 12020056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 183, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -8\/25, -4\/7, 3, -0.5, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-18))\/(1\/(-8)). Let p = -289 + 295. What is the third biggest value in h, 3, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115a516 (base 13) to base 3.\nAnswer: 101002111200002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(1\/9)*x)*x)\/x)\/(x*(x*x**(-6)*x)\/x)*(x*(x\/((x*x**1)\/x)*x)\/x*x)**(2\/35) assuming x is positive.\nAnswer: x**(1261\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -y**4\/4 - y**3\/3 + 3*y**2\/2 - 2*y + 19. Calculate d(3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 0. Let s = -0.2 + z. Let n = 3\/14 - 1\/2. Put n, -3\/4, s in decreasing order.\nAnswer: s, n, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 133*m**3 - 30*m**2. Give g(-1).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 139 in -4, 4, 2, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 404 + 53. Let d be 2\/4 - (-3390)\/4. Let o = d - g. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 1192917*m**3 + 1192924*m**3.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/1827*39034\/2692?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -24*m. Let v(z) be the first derivative of -z**2\/2 - 3. Give v(y(n)).\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - (-1 + 6)) + (-156)\/39. Let j(v) = -v**3 - 11*v**2 + v + 3. Determine j(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 10. Suppose -j + a = -3. Suppose 5*l + j*d = 0, 2*l = 5*d - 3*d + 4. Is 2\/5 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/2922 and -107\/276054.\nAnswer: 134438298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m + 1. Suppose 0 = -4*h + 2*j - 3*j - 3, -4 = h - 3*j. What is the lowest common multiple of g(h) and 5*(46\/10 - 1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*-23\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22\/3? (a) 2\/5 (b) 10.4 (c) 3 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -690*o + 4*q + 38 = -689*o, 4*o - 49*q + 33 = -0*o - 3*o + 362 for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**3 - 12*i**2 - 6*i - 2. Let y be p(6). Let z = 94 + y. Calculate the remainder when z is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4384525*c**5 + 5781*c**2 + c + 30 wrt c.\nAnswer: -263071500*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*f + 114 - 114 to the form z*f + i and give z.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-27)\/(n*n**(-12)\/n))\/(n\/(n\/(n*n\/(n*n\/((((n**(2\/21)*n)\/n)\/n)\/n))))*n*n**(2\/65)) assuming n is positive.\nAnswer: n**(-19282\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 3*h + 2*h**3)*(2*h + h - h) + 4*h**4 - 7*h**4 + 6*h**4 + (-h**3 - 2 + 2)*(2 + 2*h - 2) + 0*h**4 - h**4 - h**4 - 2 - h**4 + 2.\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*b + b. Is b > 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 4*h - 631, -5*b + 0*b - 3*h = -1013. List the prime factors of b.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89*s**3*z**2 + 73910*s**3*z - s**3 + 14400*s**2 - 2*s*z**2 + 144*s*z wrt s?\nAnswer: 534*z**2 + 443460*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-44)\/5 - (-36)\/45. Let z(f) = f**3 + 7*f**2 - 7*f + 10. Let l be z(g). Suppose 0 = -4*y + 20 - 8. Solve 0 = d - 2, l*d - 19 = -y*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1008)*2 + 5)*4.\nAnswer: 24 + 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3747498 by -1873749.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/5 + 16\/10. Suppose y*a + 2*a + 24 = 0. Let v = a - -10. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/3))**(-4\/29)\/(q\/(q**(2\/11)\/q)*q\/((q\/q**(-2))\/q)) assuming q is positive.\nAnswer: q**(-827\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i - 48 = -8*i. Let u be (-9)\/i*2 - -7. Is u smaller than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b + 109. Let o(t) = 15*t - 442. Give 9*i(s) + 2*o(s).\nAnswer: -24*s + 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 19, 55 in decreasing order.\nAnswer: 55, 19, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 6*g**2 + 5*g - 4. Let w be -26 - (1\/(-1) + 0). Let z = 37 + w. Let b be 9\/(-3)*20\/z. Calculate i(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*o - 88 - 54*o + 11 wrt o.\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100111 (base 2) in base 3?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, r: 16, b: 3}. Give prob of sequence rrri.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 5*i + 13, 3*l - 21 = -0*l + 3*i. Is l smaller than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 149 = 5*b, 0 = -3*x - 40*b + 1547 - 1254 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3030, 3021, 3008, 2991, 2970, 2945?\nAnswer: 2916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.835 + -1.9. Let o = n - -0.165. Let v = 5 + -10. What is the third smallest value in 0.5, v, 1, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 5:23 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133, -372, -607, -838, -1065, -1288?\nAnswer: -1507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 3. Is 35\/3*(o + 5) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (-2368)\/(-160))\/(1 + 417\/(-420)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {e: 2, m: 4, i: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v - 17. Let w(i) = -7*i - 33. Give -5*a(o) + 2*w(o).\nAnswer: -4*o + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**5\/60 + d**4\/4 - 4*d**3\/3 + 8*d**2\/3 - 9*d. Find f, given that u(f) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.016907 rounded to three dps?\nAnswer: 1.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 909 = 2*s + 373 + 381, -2*s = -9*x - 137 for s.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4655*l**2 + 3846*l?\nAnswer: -9310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -11*t**3 + 3*t + 3. Let z be v(-2). Let q(a) = a**2 + 34. Let h be q(0). What is the greatest common divisor of h and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 171327 and 2292.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-31469888.\nAnswer: -94409664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -3*t**2 - 2*t + 133. Determine l(4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pczcpfvl. What is prob of sequence cp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10011001101111001000 (base 2) to base 9\nAnswer: -1158711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -288, -576, -866, -1158, -1452?\n\"Answer: -k**2 - 285*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 4 + 6, 8 = 4*h + 4*f. Solve -2*a - 10 = -h*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uo when two letters picked without replacement from {o: 1, p: 7, u: 3, a: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 5, 1298.24, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 0*a - 5*a + 4*a. What is the remainder when s(-2) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000015526028 to seven decimal places.\nAnswer: -0.0000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = 13*f - 2. Suppose -4*z - 20 = 0, -q + 2*q = -4*z - 13. Let t = q + -5. Solve t*m = -f*m + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 1:21 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2841a6 (base 11) to base 4\nAnswer: 1230211313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*((sqrt(17)*-2 + sqrt(17))**2 + 4).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 2.1 and 0.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 676134 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 622 and 1508350?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 8 = 0, i = r + 2*i - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1013042920?\nAnswer: 2, 5, 17, 1489769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 4) + (195 - 193)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1221011211100 (base 3) to base 14\nAnswer: -1ca3d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -26, -54, -80, -104, -126, -146?\n\"Answer: b**2 - 31*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 10*k - 5. What are the prime factors of s(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -14527*g**2 + 55*g - 6. Let c(p) = -14528*p**2 + 54*p - 8. Let t(u) = -3*c(u) + 4*q(u). Let l be t(-8). Round l to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6320 - 6140. Calculate the greatest common factor of d and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*b - 6990 + 7270 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -3*o + 24, -5*c - 2106*o = -2104*o + 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 13 (b) 0 (c) -3 (d) -1\/4 (e) 2\/39\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 47 - -10b?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-570)\/45)\/(8\/(-6))*-6. Does -62 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -1335*h + 1339*h. Let r(j) = j**2 + 10*j - 15. Give r(h).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*z + 2. Suppose 0*c = z*c - 16. Let h be (-4 + -1 + c)\/1. Put -4, 1\/7, h in decreasing order.\nAnswer: 1\/7, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvcigkk. What is prob of sequence ky?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15 + ((-50)\/225 - (-11)\/9). Calculate the greatest common factor of u and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4187, 4185, 4183, 4181?\nAnswer: 4179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1525746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18040 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**3*t**4 - 2*c**3 - 68*c**2*t**3 - 2*c*t wrt t?\nAnswer: -12*c**3*t**2 - 408*c**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/297 and 74\/27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - m**5 + 1 - 29\/2*m**3 + 61\/4*m**2 + 25\/4*m**4 = 0. What is m?\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11293 and 3928?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 15 = -7*d. Let c(g) = 4*g**3 - g - 1. Let a(b) = 9*b**3 - 2*b - 3. Determine d*a(i) + 5*c(i).\nAnswer: 2*i**3 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6144, -0.4, 39, -4, 4 in descending order.\nAnswer: 39, 4, -0.4, -4, -6144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7667\/12604 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 40 - 30*v + 9*v - 2 - 5*v - 28*v in the form i + h*v and give h.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1400*p**3*y**2 - 9*p**3 - 3*p*y**2 + 11*p*y + p wrt p.\nAnswer: -8400*p*y**2 - 54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o*o**2\/o)\/o*o*o**(-1\/3))\/(o*o*o*o**6*o*o*o**9) assuming o is positive.\nAnswer: o**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 20 = -4*j, -3*j - 4 = -4*r - 22. Let c be 11\/33 - (j - (-64)\/(-6)). Suppose c*y - 15*y = -12. Put y, -3, 0 in increasing order.\nAnswer: -3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2. Let d(o) be the third derivative of 0 - 149\/30*o**5 + 0*o + 0*o**3 + 0*o**4 + 101*o**2. Calculate d(q(w)).\nAnswer: -298*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 3*i**2 + 3*i - 2. Let a(n) be the first derivative of 1\/4*n**4 - 1\/2*n**2 + 0*n - 38 + 1\/3*n**3. What is 3*a(x) + c(x)?\nAnswer: 2*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61737936.\nAnswer: 2, 3, 13, 98939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 120 = -32. List the prime factors of i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16253, 16252, 16251, 16250?\n\"Answer: -b + 16254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**4 - s**3 - 4*s**2 + s. Let r(q) = 3*q**3 + 5*q**2 - 3*q. Let f(m) = 3*r(m) + 3*u(m). Factor f(c).\nAnswer: -3*c*(c - 2)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 680*y + 16896.\nAnswer: -4*(y - 22)*(y + 192)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftf when three letters picked without replacement from fffffffffftffffffff.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-2))\/((-1)\/(-2)). Suppose -2*s = -u*s. Let m be -3*1*(-1)\/6. Which is smaller: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**2 + 3*b + 0*b + 1 - 2 - 2*b**2. Determine l(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a kilogram in grams?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -11 + k**3 - 710*k - 742*k - k**2 + 1441*k. Calculate a(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1139 + 728 + 829 + (-7 + 1 + 4)*(2 - 2 - 3))*(2*u - 4*u + 0*u).\nAnswer: -5404*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*sqrt(44)\/sqrt(4).\nAnswer: -4 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 11*q**3 + 2*q**2 - 2*q + 1. Let u(p) be the second derivative of -p**4\/12 + p**3\/2 + p**2\/2 + p. Let m be u(3). What is the tens digit of o(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16 - 101?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(13\/3)\/h**(3\/16) assuming h is positive.\nAnswer: h**(199\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v. Let r = -39 - -42. Let t(h) = -10*h. Let g(b) = r*t(b) + 14*w(b). Let a(o) = -22*o. Calculate a(g(l)).\nAnswer: 44*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 66553.3g in kilograms?\nAnswer: 66.5533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 3*t + 4. Let f be j(-3). Solve -26 = -k - 5*l, -7*l + f*l = -k - 14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 940546.1ml?\nAnswer: 940.5461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 281*q - 38. Calculate j(-1).\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 32938*s + 953520.\nAnswer: 2*(s + 29)*(s + 16440)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4012 divided by -4863\nAnswer: 4012\/4863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4)\/(63\/(-36))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/1014 and 35\/68826264.\nAnswer: 68826264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/13)\/g**1)\/(g**(1\/4)*g**7)*(g**7\/g)\/((g**(-7)*g)\/g*g*g*g)*g*g**0*g**(-3\/5) assuming g is positive.\nAnswer: g**(539\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/2 - 0\/(-1). Let c(v) = v**3 - 5*v**2 - 6*v + 3. Let r be c(l). Let n(m) = 3*m - 2*m**2 + m**r - 1 - 3*m**2 + 6. Calculate n(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/695 or -1?\nAnswer: 6\/695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -107*u + 1197. Let o be x(11). Calculate the highest common divisor of o and 75.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 19 = -3*k, k + 23 = -2*j - 2*j. Let i = k + 4. Is 0 >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18706, 2\/13, -2\/65, -4 in decreasing order.\nAnswer: 2\/13, -2\/65, -4, -18706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.3, -4.26, 17, -2 in increasing order.\nAnswer: -4.26, -2, 0.3, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/4884 and 63\/27380.\nAnswer: 903540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-3*sqrt(208)*6)**2 + -3*(sqrt(208) + 1)).\nAnswer: -48*sqrt(13) + 269556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-12)\/(s**(-12)\/s)*s**(-1\/10)*s*s*s*s**(-20) assuming s is positive.\nAnswer: s**(-161\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3100023302 (base 4) to base 6.\nAnswer: -30135442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 99952466*o**4 - 5*o + 119600326 wrt o.\nAnswer: 1199429592*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3604\/(-18))\/((-40)\/(-3)). Let z = d + 215\/12. Calculate the common denominator of 7\/6 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 1:17 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*w - 153*w + 6 = 0. Suppose 0 = -5*p - 4*g + 5988, -2*g + 0 = w. Is 60 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00221 to 4 dps.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 641076, 2564348, 5769826, 10257516, 16027424, 23079556, 31413918, 41030516?\nAnswer: 51929356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -85*g**5 + 220*g**2?\nAnswer: -5100*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/5*-3*2\/51.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -529 = 195*f + 646 - 454 + 59 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1533 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sx when two letters picked without replacement from sxroma?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*v + 3*r + 4, -5*v - 36 = -4*r. Calculate the remainder when 25 is divided by v + (-68)\/(-4) - 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/5)\/(6\/15)*3372\/562?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, t: 1, g: 3}. Give prob of picking 2 g and 1 d.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 5. Let u(j) be the second derivative of 0 + 1\/4*j**g + 3\/20*j**5 + 0*j**2 + 0*j**3 + j. What is the third derivative of u(i) wrt i?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onnoonnnnno. Give prob of picking 1 n and 1 o.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + w - 1 = 0, -2*f - 4*w + 5 = w. Solve 0 = -h - f*h + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -q, -6*i + 2*i - q = -48. Let o be (298\/(-4))\/(i\/22). Let r = o + 123. Is -28 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1009891682*z**2\/11 + 902974664*z\/11 - 201844232\/11.\nAnswer: -2*(22471*z - 10046)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19532477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70*z**3 - 68*z**3 - 69*z**3 - 83*z + 2*z**2 - 40*z**4 + 207*z**3 - 2*z**5 wrt z.\nAnswer: -120*z**2 - 960*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -408 - 260. Is 670 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20310440 (base 6) to base 2\nAnswer: -10001110101111011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**10*v)\/v)\/v**(-17)*(v\/v**(-4))**(-5\/4))**(-39) assuming v is positive.\nAnswer: v**(-3237\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1088) + -1)**2 + -5 + sqrt(833) + sqrt(833)*2 + 5 + 0.\nAnswer: 5*sqrt(17) + 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17944, 17858, 17772, 17686?\n\"Answer: -86*y + 18030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-one fifths of a millennium?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 19, 28, 45, 76, 127, 204, 313, 460?\n\"Answer: p**3 - 2*p**2 + 8*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 5. Let l = -0.036 + 0.036. Sort o, -2\/3, l in decreasing order.\nAnswer: o, l, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -490, -984, -1482, -1984, -2490, -3000?\n\"Answer: -2*a**2 - 488*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18044.\nAnswer: 2, 13, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -0.5, -2\/19, 0.7, -0.002, -30?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 p when two letters picked without replacement from vzjvypppjp.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*r + 135800 = -1256*r - 717*r for r.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15441 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -39*h**3 + 2*h**2 - 16*h - 11. Let k(x) = -41*x**3 + 2*x**2 - 12*x - 9. Determine -4*k(g) + 3*m(g).\nAnswer: 47*g**3 - 2*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 - 48.2. Let r = h - -0.2. Let d be (-1988)\/(-6745) - 2\/(-19) - (-1 + 1). Which is the second biggest value? (a) d (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -1002*w + 2. Let n(q) = q**2 - 2*q - 734. Give n(t(u)).\nAnswer: 1004004*u**2 - 2004*u - 734","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((169 - 66 - 69)*(-1 + 1 - 1) - 6 + 3 + 2 + (4 - 2 - 3)*(-2 + 5 - 5))*(-h + 3*h - h)*(2*h**3 - 4*h**3 - 3*h**3).\nAnswer: 165*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 48 - 17 = 0. Calculate the remainder when 49 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231*n**2 + 341*n**2 + 961*n**2 + 634*n**2 + 152*n**2.\nAnswer: 2319*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3397 + 1698 - 2510*r + 1698 to the form x + p*r and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51796 is divided by 5112.\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s - 16*s - 4*g = -12, 0 = -5*s + 4*g - 24 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 (base 13) in base 11?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 45\/8 of a kilogram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-75)\/(-10)*(-20)\/(-6). Suppose h = -4*h + o. Suppose -42 = -2*s - 3*a, -4*s - h*a + 63 = -s. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - f - 383 = 0, -4*j - 145*f + 751 = -142*f. What is the least common multiple of j and 16?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 335*i**6\/6 + i**2 - 397*i - 881. Find the second derivative of a(v) wrt v.\nAnswer: 6700*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**5 + 2*i**5 - i**5 + (i**3 - i**3 + i**3)*(-1 + 1 + i**2) + 1 - 1 + 39*i**5.\nAnswer: 38*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.4 - 46.6. Which is bigger: z or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -157051.\nAnswer: -78525.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2697*s - 3906. List the prime factors of p(-7).\nAnswer: 3, 7, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from odqidiiioooii. Give prob of picking 3 i and 1 q.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.6 - -12. Let i = f + 0.2. Is i < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (34 - (28 + -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 8 = 3*j - 2*j, 4*u = -4*j - 24. Let y = u + 3. Suppose -2*o - y = -8. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 57.\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -m - 0*z - 21, z = -5 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1935443 - 0.\nAnswer: 1935443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -14*g**2. Let x(s) = -6574*s**2. Calculate w(x(d)).\nAnswer: -605044664*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 42274 - 182?\nAnswer: 420a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**3 - 9*y**3 + 2*y**3 + 270*y + (3*y**2 + 0*y**2 - 2*y**2)*(-3*y + 2*y + 2*y).\nAnswer: -y**3 + 270*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 43. Calculate j(0).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 170660 a multiple of 460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 55, 99, 151, 205?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -10. Let n(f) = -f**3 + 5*f**2 - 4*f - 1. Let d be n(z). Let x = -24 + 21. What is the closest to d in x, 3, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.2, -1145.39, 0.7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -5, 4 in descending order.\nAnswer: 12, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2252382 and 138896890.\nAnswer: 416690670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 2*r - 924. Are r and 230 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 6 + 1)*(-1 + 1 + u**3) + 37*u**3 - 8*u**3 - 18*u**3 in the form a*u**3 + l + p*u + c*u**2 and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-32))\/(35\/(-40))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -21.5 (b) -2\/13 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -103b16?\nAnswer: 103b1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 1. Let a(i) = 1. Suppose -3*n + 10 = 2*t, t - 4 = 3*n - 4*n. What is t*j(v) - a(v)?\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-2) - -14) + -5. Suppose c*g = -v + 7*g + 31, 5*v = -5*g + 125. What is the remainder when 165 is divided by v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 3:06 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(-4)\/36 + (-38)\/(-24). Let s = 0.1 - 0.1. Sort 5, s, r in decreasing order.\nAnswer: 5, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 1 = 2*c, 3*g - 11 = -7*c + 11*c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2172 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 - 12 - 10 - 2109*s**2 to the form n*s + h*s**2 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -13*v**2 - 5*v - 8. Let t(q) = -16*q**2 - 6*q - 9. Let m(h) = 4*t(h) - 5*y(h). Let k(i) = -2*i**2 - i - 7. Give -4*k(p) - 7*m(p).\nAnswer: p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 472573 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: Let m = -1089 + 1532. List the prime factors of m.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 91.232? (a) 1\/3 (b) -0.3 (c) 0.3 (d) -5 (e) -3\/5 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (12144\/(-576) - 1\/(-12)). Let k = -3 + 6. Solve k*b = -b - r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 43*v - 3. Is 21 a factor of d(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 223156.\nAnswer: 15\/223156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1 + 5 - 21*n**3.\nAnswer: -21*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -322 (base 5) to base 3\nAnswer: -10020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, b: 5}. Give prob of picking 2 b.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 2*g - 26 = 0, -v - 273 = 4*g - 277 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 1. Let r be u(6). Let q(b) = -2*b**3 + 3*b**2 + 3. Let p(l) = -3*l**3 + 5*l**2 + 5. What is r*q(g) - 3*p(g)?\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 6. What is the remainder when 58 is divided by l(9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 314139826 to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122080*a**2 - 5*a**3 - 122080*a**2.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26756 + 6872 = -4*b. Let i = -7997 + -2674. Let c = i + b. Round c to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0945 * 8220.\nAnswer: -776.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - c - 1. Let b(z) = 48*z**4 - 3*z**3 + 16*z + 3. Let g(t) = b(t) + 3*o(t). What is the second derivative of g(h) wrt h?\nAnswer: 576*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 8 - 82. Suppose k + y = -4*k. Does k = -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5025\/4 + 2511\/2*z - 3\/4*z**2 = 0. Calculate z.\nAnswer: -1, 1675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + 2*l + 3*l - 10*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**4*z\/(z**(2\/5)\/z)*(z\/(z*z\/(z**(1\/3)\/z)))**(2\/9))**(-2\/55) assuming z is positive.\nAnswer: z**(478\/7425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 9244 and 9243 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -724, 4, 0, 12 in increasing order.\nAnswer: -724, -12, 0, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 6:29 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 1) + 21 + (-33 - -11) + -18\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + n - 3)*(0*n + 2*n - 3*n) + (0 + 0 - 1)*(n**2 + 2 - 2) + 2*n**2 + 2*n - 2*n - 17*n**2 + 8*n**2 + 12*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -16200000 to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 1 + 54*p**2 - 50*p**2 + 2)*(-15 + 2 - 36).\nAnswer: -196*p**2 + 49*p - 49","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -28260*6\nAnswer: -169560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547668220?\nAnswer: 2, 5, 11, 317, 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1931057 is divided by 34483?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 - 237*o. Let v(z) = -11*z - 20. Let x(t) = 2*t + 4. Let r(h) = v(h) + 5*x(h). Give r(d(y)).\nAnswer: 2*y**2 + 237*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27\/36 - 46\/8. What is the biggest value in -5\/3, -0.4, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 849?\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -14*x - 5. Let a be z(-3). Suppose -7 = -4*f + a. Let n = -18 + 22. What is the lowest common multiple of n and f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (657\/(-292))\/((-3)\/8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 7. Suppose -b*v + 5*h + 45 = 0, 4*h = 2*v - 4 - 12. Let x = 83 + -54. What is the remainder when x is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -83, -123, -181, -263, -375, -523, -713?\nAnswer: -951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 95760 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/3)*w)\/(w*((w\/((w*w**(-1\/6)\/w)\/w))\/w)\/w))\/(w\/(w*w**1))**(-2\/89))\/((w**(1\/4)\/w)**(-21\/4)*(w**1*w)**(-8\/13)) assuming w is positive.\nAnswer: w**(-197849\/55536)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*i - 1\/2 + 1\/4*i**2.\nAnswer: (i - 2)*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**4 + 2*g**4 - 4*g**4 + (-52*g - 59*g + 451*g)*(3*g**3 + 0*g**3 - g**3).\nAnswer: 679*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 3257. Let l be m(0). Let i = l + -1949. What are the prime factors of i?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 6:13 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 7*l + 2. Let x be q(-2). Let y(t) = -t**2 - 11*t + 11. Let n be y(x). Which is bigger: 4\/19 or n?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**2 - 174*u - 72. Let h(i) = i**2 - 13. Determine d(z) - 6*h(z).\nAnswer: -2*z**2 - 174*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 194784 to the power of 1\/2, to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(16\/9))\/(r\/((r\/(r\/r**36))\/r*r)))\/(r*r*r*((r*r**(-11)\/r)\/r*r)\/r*r*r*r*r**(-42)))**(28\/5) assuming r is positive.\nAnswer: r**(4144\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 96 + -102. Let d(c) be the first derivative of -c**3\/3 - 5*c**2\/2 + 6*c - 1. Calculate d(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.86 and -84.1.\nAnswer: -72.326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8335256 divided by -1?\nAnswer: 8335256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1055399, -3\/2 in descending order.\nAnswer: 1055399, 0.5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 5. Let i be -3*(6\/(-9))\/x. Suppose -b + 17 = 2*z, -5*z + i = -2*b - 0*b. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**4\/12 - 11*s**3\/3 - 20*s**2 - 5*s. List the prime factors of j(-16).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1384119 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 10 = w - 2, -5*u = w + 20. Suppose -5*x + w*x + 82 = -4*m, 4*x = -3*m + 47. Calculate the highest common factor of 28 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and -24700?\nAnswer: -148200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 754984523?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - ((1 - 7) + 21 + -17) - 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 219 = -4*r - 2*k, -2*r + 90 = -4*k. List the prime factors of r.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5463 and 318.6852?\nAnswer: 318.1389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3050088\/13 - 234490. Let w = l - 132. Which is bigger: 0.12 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(95)\/(sqrt(720) - sqrt(720)*-1) + (0 + sqrt(114)\/sqrt(54))**2 + 1 + 5.\nAnswer: sqrt(19)\/24 + 28\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 25846, 206488, 696806, 1651636, 3225814, 5574176, 8851558?\n\"Answer: 25806*z**3 + 2*z**2 - 6*z + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147545, -148843, -150141, -151439, -152737?\nAnswer: -154035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**3 - 89*l**2 - 433*l + 507. Let r(v) = -48*v**3 - 1431*v**2 - 6930*v + 8112. Let q(i) = 2*r(i) - 33*s(i). Find h such that q(h) = 0.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125277081?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*o = 3*u - 8, 0 = -4*o - 20. Let m(k) be the first derivative of 23*k**4 + k**3\/3 - 540. List the prime factors of m(u).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 327 - 164. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 10*y = -35. Suppose -4*r = -y*r + 114. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 10*v = -26, 2171*u + 4 = 2169*u - v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8\/25 of a millennium?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 370 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 times -146?\nAnswer: 3796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -258 - -912. Let k = h + -7199\/11. Find the common denominator of (-21)\/(-342) - (-4)\/(-6) and k.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: -16 divided by 2284968\nAnswer: -2\/285621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 50, -50, 7, 11, 0 in decreasing order.\nAnswer: 50, 11, 7, 5, 0, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(-23*y**2 + 0*y**2 - 4*y**2).\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**3 - 5. Let t(u) = 15*u**3 + 12 - 6 - 11*u**3. What is -6*h(o) - 5*t(o)?\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -5. Let t = l - 5. Suppose -26 = -5*f + t*w + 61, 47 = 3*f - 5*w. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 7*y**2 + 2. Let j be c(-7). Let m(t) = 2*t**j - 96 - 17*t + 113 + 0*t**2. What is the tens digit of m(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 115552 and 57776?\nAnswer: 115552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383611.\nAnswer: 383611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 s, and 1 b when three letters picked without replacement from {s: 3, b: 1, k: 1, w: 3, t: 6, a: 1}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3\/8, -2, 1.61 in descending order.\nAnswer: 1.61, 1, 3\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4932042*d - 4932045*d - 5*f, 2*d + 5*f + 16 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b**3\/3 - 82*b**2\/3 + 357*b - 330 = 0. Calculate b.\nAnswer: 1, 15, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 0.231.\nAnswer: -1, 0.231, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17538499.\nAnswer: 11, 151, 10559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 + 120*p**2 + 138*p - 178. Is a(61) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**2 - 11*w. Let g(n) = -3*n**2. Give v(g(u)).\nAnswer: 27*u**4 + 33*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/29, 218.6.\nAnswer: 2\/29, 1, 218.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*l + 3024 = 193*l - 365*l for l.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**4\/3 - 26*z**3\/3 - 233*z**2\/3 - 784*z\/3 - 192 = 0. What is z?\nAnswer: -9, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 - -6 - (215 - 80)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4730858 - -830858. What is l rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -159 + 3*u**2 - 191 + 362 + 2*u - 18*u**3 as t + h*u**2 + b*u + j*u**3 and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -10, -1097 = -4*x - 4*k + 9*k. Suppose 4*n = -2*c + x, 1 = -2*c + 5. Suppose -45*a = -43*a - n. Calculate the least common multiple of a and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -282248, -282251, -282264, -282293, -282344?\nAnswer: -282423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 768?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -9. Let y(j) = j**2 - 5*j + 11. What is the remainder when y(8) is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1*(-107)\/1)\/((-1)\/(-3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m**2 - 5*m - 5. What is k(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7*j - 98. Let i be w(14). Let y(o) = o**2 - 6*o + 1. Let c be y(6). Let v = 73 + -68. Sort i, c, v in descending order.\nAnswer: v, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 0 + 1)**2 + sqrt(171).\nAnswer: 9*sqrt(19) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5266298 divided by 142.\nAnswer: -2633149\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (250\/28)\/(-5) + (-14)\/(-49).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - 0. Let o(m) = -4*m**2 + 2*m + 4. Let t(k) = -k**2 + 1. Let u(i) = d*t(i) + o(i). Let p be u(1). Solve p*r + r + 6 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 60*y - 133. Let o be w(2). Is o at least as big as -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.89 - -0.11. Let y = v - 6. Let s be (-12 + 13)*(0 - 2). What is the closest to s in -3, 1, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -339c71 (base 13) to base 2.\nAnswer: -100101010001101001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101000111 - 101001000100?\nAnswer: 1100000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 681 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 23*q - 21*q. Let n be 1*7\/(14\/4). Let u be (0\/23)\/(1\/(1\/n)). Solve 8*m + y - 14 = 3*m, u = -q*m + 4*y - 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a9 (base 14) to base 10.\nAnswer: -149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/551 + -56783\/3306. What is the common denominator of (-46)\/(-207) - (283\/63)\/(-1) and l?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 961*d**2 - 499768 + 457*d**2 - 483*d**2 + 5*d**3 + 500693 + 1855*d = 0?\nAnswer: -185, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 + 43. Does 27 divide ((-96)\/(h + -5))\/(2\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 32, 39, 36, 17, -24, -93?\n\"Answer: -i**3 + i**2 + 11*i + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + 0. Suppose 7*k - 2*k - 25 = 0. Which is the nearest to -1\/7? (a) -3 (b) k (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16827762*d**3*m**2 + 203556306*d**3*m - 2*d**3 wrt m?\nAnswer: 33655524*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 688840 (base 9) to base 3\nAnswer: 202222221100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 2, 20, -2 in decreasing order.\nAnswer: 20, 2, -2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 43749*d**2 + 481110*d - 55. Calculate x(-11).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3301876 is divided by 1161?\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50835138?\nAnswer: 2, 3, 8472523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (34 + 13 + 18)*(-a - 3*a + 2*a - 6*a + 0*a + a + (2 + 1 - 2)*(-4*a + 3*a + 0*a) - 2*a + 3*a + 2*a) in the form i + n*a and give n.\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*r - 2*j, 18 + 4 = 3*r + 2*j. Suppose 0 = -t - 2*d + 87, 0*d + 89 = t + r*d. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.72 and -36.\nAnswer: 61.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 1. Let n(o) = 12*o**2 - 5. Calculate 3*d(i) - n(i).\nAnswer: -9*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h. Let m be p(-8). Let o = -40 + m. Let c be -3 + (2 - 3\/(-3 + o)). Is c bigger than -3\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 9}. What is prob of sequence ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 0, 4*s - 40 = 2*o - 4*o. Suppose 4*r + l - s = 0, -2*l = 5*r - l - 12. Solve 11 = 2*z - v - 0*v, -4*v + 6 = r*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.0768878 (b) -1 (c) -4 (d) -1\/8 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-150*l**2 + 50*l**2 - 13*l**2)*(3*l - 3*l + l)*(2*l - 4 + 4).\nAnswer: -226*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 518556 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.78976um in kilometers?\nAnswer: 0.00000003178976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -4, -4607 in descending order.\nAnswer: -4, -21, -4607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m**3 - 5*m**2 + 4*m. Let g be s(3). Let b be 3*(9 + -10 - (-1)\/3). Let l be g\/(-36) + b\/3. Calculate the greatest common divisor of l and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 20, -4*a = -0*b - 4*b + 76. Suppose -3*l + 0*l + b = 0. Suppose 5*y + l = -2*m, 5*m - 3 = 2*y + 28. Solve 4 + 1 = -m*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 219623184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**2 - 381075 - f**2 + 381072 + 74*f - f**3 + 13*f to g*f**3 + k*f**2 + h + q*f and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b**3 + 10*b**3 - 20*b**3)*(1 + 0 - 2)*(1 + 2 - 5) to the form x*b**3 + g + l*b**2 + u*b and give x.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 341 and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**0)**(-11)\/((y*y**0*y)\/(y*y**4*y)) assuming y is positive.\nAnswer: y**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 14 = -18. Suppose -4 - 12*a**5 + 4 - 124*a**2 + 12*a**3 - 3*a**c + 127*a**2 = 0. What is a?\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31.44 - 0.16. Let b = -31.600000274 - k. Round b to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/((150\/(-72))\/25).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tynxtnp. What is prob of sequence xt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.45 + -3116557498419.\nAnswer: -3116557498419.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 8774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*s - 26*s - 3*s)*(1 + 0 + 0)*(-s**2 - 1 + 1).\nAnswer: 55*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(117) - sqrt(91)\/(sqrt(252) - sqrt(7)))**2.\nAnswer: -56*sqrt(13)\/5 + 2648\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - g - 95 = -32, -g = j - 22. Let t be (-1 - -2) + j + -10. Let n(y) = y**3 - 3*y**2 + y - 7. Is n(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 3)\/((-2)\/(-8)). Suppose -3*d + 6 + 0 = 0. Let c be 0*(-2)\/(0 + d). Solve c = -u + 3*j, r*u = 3*u - 4*j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 472 - 421. What is the remainder when 171 is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 94*c - 280*c + 84*c + 96*c + 304 in the form w*c + q and give q.\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + 0 + (1 + 10 - 0) + 0?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 22\/25, -0.2, 6, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -3*s - 4*s. Let b(p) = -p**3 + 13*p**2 + 1. Let j be b(s). What is the highest common divisor of 10 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, z: 9}. Give prob of sequence jjjz.\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-1 + -4 - 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3 + 1 = 3*s, 0 = -5*u + 2*s + 14. Let q(p) = p + p - 2 + p. What is the units digit of q(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221509.\nAnswer: 221509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, g: 3, j: 2, y: 2}. Give prob of picking 2 y.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 753*b**2 + 14*b + 219. Is n(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 121369\/108 + -1124. Let j = -64\/27 + i. Calculate the common denominator of (-33)\/99*(-16)\/(-18) and j.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*i - 70*i = 56. What is the remainder when 2\/9 - 410\/(-18) is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) -0.8 (c) 0.3 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -4*k + g, 5*g + 3 - 18 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2453566 and -4.\nAnswer: 2453562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*b = -83*b - 60. Solve 18*o - 14*o = -b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*g**3 + 67*g**3 - 9 - 33*g**3 - 2*g + (4 - 4 - 3*g)*(-g**2 + 2*g**2 + g**2) to f*g**2 + d*g**3 + b + j*g and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -242685.595 - -5.57994.\nAnswer: -242680.01506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(648) + sqrt(648) + 2*(0 + sqrt(648))))**2.\nAnswer: 41472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**3*s**8)\/(s\/(s**9*s*s)*s*s**(-2)))\/(s**(2\/5)*s\/s**(-2)*((s**0*s*s*s)\/s)**(1\/6)) assuming s is positive.\nAnswer: s**(274\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77 and 325360?\nAnswer: 3578960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.85 + 11.85. What is the closest to 0 in -6, -1\/2, -3\/8, m?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 298, 651, 1076, 1567, 2118, 2723, 3376?\n\"Answer: -r**3 + 42*r**2 + 234*r + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*q - 16 = -5*q, 0 = -5*t - q - 28. Let w(k) = k**2 + 4*k. What is the units digit of w(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 782547 is divided by 25219?\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 67.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 5. Find the second derivative of 0*y + 0*y**z + 3*y - 4*y**5 wrt y.\nAnswer: -80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44071\/6 - -7345. Let o = -5 - -8. What is the smallest value in o, -1\/7, 0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 5*v**3\/2 - 2*v. Let g(o) = -2*o + 24047 - 24047. Determine g(r(y)).\nAnswer: -30*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 544 (base 8) to base 13\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3185 and 3835?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21*q + 12*q + 2*q)*(-q - 9*q - 2*q) - 84 + q**2 - q + 87 - 4*q**2 to x*q + n*q**2 + f and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) + -3 + sqrt(245)*-1)*5)**2 + -3*(sqrt(245)*2 - sqrt(245))**2*-4.\nAnswer: 3165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 10 = 4*d. Suppose 2*w + d*w = -5*a + 131, -2*a + 56 = -2*w. Let j = a + -23. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3000314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x - 6. Let o(g) = 6*g**3 + g + 2*g**2 - 1 - 2*g**2. Let s be o(1). List the prime factors of v(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 238 + -238.217. Let l = 3.808 - o. Let d = l - 0.025. Which is the second biggest value? (a) d (b) 0.2 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**5 + 1876*m**4*z + 179*m + 4*z + 1 wrt m?\nAnswer: 20*m**3 + 22512*m**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 10, o: 2, k: 2}. Give prob of picking 1 o and 1 k.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 2 = 5*c. Suppose -301 = c*t - 79. Let r be 1\/((-2)\/(-9)) + t\/(-74). Solve 5*d = 4*d - r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25177 by -6.\nAnswer: 25177\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 9.47, 23757?\nAnswer: 9.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -10320?\nAnswer: -10310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -196 divided by -49\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/84)\/((-5)\/(-8))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -30 + 0*l - 4\/3*l**3 - 5\/2*l**2 - 1\/12*l**4. Let u(k) be the second derivative of q(k). What is u(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t + 10 = 0. Factor -f**3 + f**5 - f**3 + 3*f**4 - 2*f**t.\nAnswer: -f**3*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -7*p**3 - 6*p**2 - 6*p. Let a = 64 + -32. Suppose 11*m - 98 = -a. Let v(w) = -8*w**3 - 7*w**2 - 7*w. Give m*v(q) - 7*g(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -580015 and -0.091?\nAnswer: 580014.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51801640.0000146 + 51801632. Let i = 0.2 - 8.2. Let x = i - a. What is x rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 0*t**2 + 0*t**2)*(8*t + 5*t - 4*t)*(1 - 1 + 3*t).\nAnswer: -27*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-586)\/(-3)*((-90)\/75)\/((-4)\/435).\nAnswer: 3, 29, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 11. Suppose u*p - 20 = -0*p. Let g(t) = t**3 - 3*t**2 - 5*t. Let a be g(4). Sort p, -5, a in descending order.\nAnswer: p, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.010707 litres to millilitres.\nAnswer: 1010.707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 5*n**2 - 6*n - 4. Let s be b(-4). Suppose 0 = -5*w - 20, 5*c + s*w + 92 - 1 = 0. Let u(i) = -18*i + 2. What are the prime factors of u(c)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/5938825 and 76\/327375.\nAnswer: 801741375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 29*h + 30*h - 88*h + 33*h. Let m(n) = -17*n. Determine r(m(l)).\nAnswer: -68*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*26\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -796, -762, -718, -664, -600, -526, -442?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76407 or 76410?\nAnswer: 76407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, r: 8}. What is prob of picking 4 r?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -3.4. Let f = 19 - 19.5. Let t = r + f. What is the biggest value in -0.2, t, -3\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*f - 204 + 134 = 1026 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 138 = 15*l. Calculate the highest common factor of l and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.595 and 2?\nAnswer: -19.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 5*q + 25, 3*q + 72 - 90 = 3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84\/839 + -72319\/23492. Find the common denominator of m and (-1 - (-18)\/(-5))\/(608\/(-285)).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2\/k)\/k)\/((k**(2\/15)*k)\/k)*(k*k**1*k)**(16\/11)*(k*k\/(k*k\/(k*k*k*k**(-2\/5))))**(-6\/7)*(k*k*k**(1\/7))\/(k\/(k*k*k\/k**(-4))*k) assuming k is positive.\nAnswer: k**(10562\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 5:01 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 262*v**2 - 84*v - 10. What is the thousands digit of j(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c - 4. Let r be s(7). Let p = -4475 + 4482. Sort r, 0, p, 2 in decreasing order.\nAnswer: p, r, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3018005.\nAnswer: 5, 31, 19471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 4573, -206, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f - 4 = -20*f. Let h be (-6)\/9*(f - 3 - 1). Suppose 106 + 284 = h*z. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1198.6 + -57.40312074?\nAnswer: 1141.19687926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + sqrt(10)\/sqrt(2)) + 0 + ((-4 + sqrt(405) + 0)*4)**2.\nAnswer: -1157*sqrt(5) + 6721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 916949 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 390 a factor of 37391476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q + 4 - 8*q + 14*q. Let o be w(-3). Which is bigger: o or -18\/11?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211003 - -33?\nAnswer: -210310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 41*u - 1. Let d(b) = -165*b - 7. Let f(x) = 3*d(x) + 12*h(x). Let c(i) = 2*i + 22. Give 7*c(p) + 5*f(p).\nAnswer: -p - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32323529*o - 16161762*o - 16161766*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1047614 is divided by 75?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w. Let s(m) = -47*m**2. Determine s(a(o)).\nAnswer: -1175*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*b**3*f - 7834*b**3 - 2*b**2*f - 3*b**2 + 1051*b*f wrt f?\nAnswer: -6*b**3 - 2*b**2 + 1051*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23868343.\nAnswer: 251, 95093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 263, 516, 963, 1700, 2823?\nAnswer: 4428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 11*w**3 + 2*w**2 - 101*w - 2. Let g(a) = a**3 - a**2 + 1. Let z(d) = -2*g(d) - m(d). Find the second derivative of z(k) wrt k.\nAnswer: -78*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (6 - 4) + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51\/7 + -146\/21. Let q = 27.52 - -0.48. Let n = 22 - q. Put -1, n, j in descending order.\nAnswer: j, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -199175*c*w**2 - 2*c*w - w**2 - 1170259*w wrt c?\nAnswer: -199175*w**2 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffkf. Give prob of picking 1 k and 1 f.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2939*u + 6 - 21416*u - 2 - 4.\nAnswer: -24355*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 10:02 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1035992*s - 4*s**3 + 0*s**4 + 2 - 6*s**2 + 5*s**4 - 1035993*s - 6 + 3*s**3 as y*s**3 + w*s + x*s**4 + b*s**2 + n and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (53\/(-7) + -1)\/((-5352)\/(-168) - 32). Which is smaller: 77 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 37*a = 3*a - 7*a - 89, -3*a - 27 = -3*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 720608004 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 - 0)*(3 + 10\/(-4)). Suppose q*h + 15 = 5*v, 2*h = -5*v + 6 - 16. What is the units digit of (-6 - -17)*(3 + v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 651255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 131790.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g - 3. What is the remainder when m(-6) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 30*q + 61. Let y be w(29). What is the highest common factor of 152 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 262.9 - 263. Which is bigger: w or 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.15005 + 73.37995. Let g = 73 - t. Round g to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 132\/5. Suppose 2*i + 4 = 3*f - 2, -i + 7 = f. Let m = 145\/612 - -2\/153. Which is the nearest to m? (a) f (b) z (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 642623.\nAnswer: 642623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1322*j - 6*j**2 + 26 + 438*j + 5*j**2 + 453*j + 448*j.\nAnswer: -j**2 + 17*j + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 419 = 931. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 0*g + 9*g**2 + g + g - 2 - 3*g. Determine v(2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44294280?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -60, -127, -192, -255, -316, -375, -432?\n\"Answer: f**2 - 70*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, 3\/4, -266, 3, -1 in decreasing order.\nAnswer: 88, 3, 3\/4, -1, -266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6061130 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-3 - 13) + 0 + 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/6 - 28\/(-3). Let t = 14 - i. Suppose 922 = -2*f + 6*f + 5*o, t*f = 3*o + 938. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2989 - -2938. Which is smaller: z or -199\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 417, 1498, 3301, 5826, 9073?\nAnswer: 13042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 214102 and 61172?\nAnswer: 428204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2777451\/10 + 277742. Calculate the common denominator of (-61)\/(-56) - (-2)\/7 and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1357*q**2 + 89*q**2 + 1402*q**2 - 512*q**2)*(2*q + 7*q - q) in the form c*q**2 + z*q + d*q**3 + b and give d.\nAnswer: 18688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54207 - 422041.\nAnswer: -476248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -80*t + 29*t + 775 + 1010 for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**25\/z)\/((z\/(z*z*z\/z**(2\/17)))\/z) assuming z is positive.\nAnswer: z**(474\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 5 (b) -5 (c) -3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -30\/7 >= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**4 + 0*p**4 - 2*p**4 + (18 - 34 + 8 - 2*p)*(-30*p + 89*p - 9*p)*(2*p**2 - 4*p**2 + p**2).\nAnswer: 95*p**4 + 400*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -6*l + 4*l + 117*l**3 - 8 + 11*l**2 + 4*l + 68*l**3. Let u be s(-9). What is u rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 8. Let j(i) be the third derivative of 0 + 1\/24*i**4 - 4*i**2 - 5\/6*i**3 + 0*i. What is j(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3 = -n - 2*g, -2*g + 5 = 3*n. Let u = -0.9 + -2.1. Which is the nearest to 0.1? (a) -2 (b) u (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(29\/2)\/y**(3\/20))**(-6\/23))**(-46) assuming y is positive.\nAnswer: y**(861\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2406, 0.1, 0.07, -2, 0.031?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 282*y - 278*y - 24. What is the third derivative of -78*b**2 + 15*b**2 - 15*b**4 + 14*b**6 - 16*b**y wrt b?\nAnswer: -240*b**3 - 360*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -113.5 - -127. Let v = -12.5 + n. Let s = -259\/3 + 85. Which is the smallest value? (a) v (b) s (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 62 + -33?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8702 - 9018 = -158*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 1446?\nAnswer: 10122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 5\/9, 2, 74, -0.04, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39887 + 56177. What is the thousands digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78330833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4402561686 + -8.9.\nAnswer: -4402561694.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 86 - (1353 + -1445)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from fffovffovorffofoopo.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 2*u + 4. Let p be l(0). Find the third derivative of -7 + 61*c**5 - 3*c**2 + 821*c**p + 5 - 823*c**4 wrt c.\nAnswer: 3660*c**2 - 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/1143?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -13*o**5 - 12*o**2 + 5. Let s(i) = 13*i**5 + 11*i**2 - 6. Let t(n) = 6*b(n) + 5*s(n). Find the third derivative of t(q) wrt q.\nAnswer: -780*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k**3*k)*k))**(-49)\/((k*k\/k**(-2\/9)*k*k)\/k**(-10)) assuming k is positive.\nAnswer: k**(-1451\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 281*i + 46. Let c be o(-1). Is c at most -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 0. Suppose -5*f + 14 = -4*t, 2 - 9 = -2*f + 3*t. Suppose -f*p + 5 = 3*p, 5*w - 56 = -p. What is the highest common factor of n and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t + 15*t - 27*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/(1\/(-6)*3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 2*a**3\/3 - 1. Let b(s) = -23*s**2 - 8*s. Let n(z) = 693*z**2 + 242*z. Let h(y) = 121*b(y) + 4*n(y). Give h(o(i)).\nAnswer: -44*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 6:37 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -6*s + 294. Give y(54).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 15 = 3*t, 5*t - 10 = p - 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52966, -52985, -53004, -53023, -53042, -53061?\nAnswer: -53080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 679 or -0.1046?\nAnswer: 679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*z - 1455, -15*p + 10*p = 2*z + 582. Is z < -289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 7*s. Let x(r) = 8*r - 1. Let b(d) = 6*q(d) - 5*x(d). Let w be b(-1). Factor 0 + 3\/4*t**w - 3\/4*t**4 + 0*t - 3\/2*t**5 + 0*t**2.\nAnswer: -3*t**3*(t + 1)*(2*t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.617311 to three dps.\nAnswer: 20.617","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - s - 23, -4*s - 291 = -271 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 0*y - 8. Let j(m) = -m**3. Let p be j(0). Let w = -8 + 10. Solve -w*v = -p*v - y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70*p**2 + 66*p**2 - 2 - 4*p**2)*(-p + 2*p + p).\nAnswer: 264*p**3 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 7*i + 2*i**2 - 8*i**2 - 10 + 7*i**2. Suppose y - 5*c - 17 = 5*y, -33 = 3*y - 3*c. Calculate w(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.789042719 to four dps.\nAnswer: -3.789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 496*j + 9*j**2 - 496*j - 2*j**2 + 3*j**2 + j**2 + 2*j**2 - 2*j**2 + 2*j**2 + (j + 0 + 0)*(-j - j + j).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1\/6 (b) 3 (c) -14182 (d) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + x**2 + 4*x**2)*(2*x + x**3 - 2*x) - 3*x**4 + 3*x**4 + x**5 + 53006*x**5 - 23252*x**5 - 24488*x**5.\nAnswer: 5268*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26455419.\nAnswer: 3, 67, 73, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -5.451, -16?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134612 to the power of 1\/2, to the nearest integer?\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + 1 + sqrt(1100) + 4)**2 - (sqrt(11) + (2 + sqrt(11))**2 + 5 - (sqrt(11) + -4 + sqrt(176))).\nAnswer: 200*sqrt(11) + 4401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2147*q**2 - 4*q + 28*q + 498*q**2.\nAnswer: 2645*q**2 + 24*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 13 = 5*m, -5*m + 0*g + 19 = -3*g. Suppose m*b = 3*b. Solve 3 = 3*o - b*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xyqxovqoxooywx. Give prob of picking 1 o, 1 x, and 1 v.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 3. Suppose 0*j = -2*j - 18. Let o be b(j). Suppose -n = l - 31, 0 = -3*n + o - 0. Calculate the remainder when l is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l**2 + 29*l + 6. Let h(q) = 3*q**2 - 14*q - 3. Give -7*h(f) - 4*j(f).\nAnswer: -f**2 - 18*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**5\/4 + 3*i**4\/4 + 15*i**3\/4 - 15*i**2\/4 - 3*i + 3 = 0. Calculate i.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) + (sqrt(72)*1*-3 + sqrt(72) - sqrt(72)).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*t - 23 + 296 = -222 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 7*n + 10. Suppose -141*a = -143*a + 16. Suppose a = 3*u - 1. What is the third smallest value in -1.3, n, u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3655732 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 l(m) = -9 + 0 - m - m - 1. Let h be l(-8). Solve 0 = -q - 2*q + h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.03541 microseconds to nanoseconds.\nAnswer: 2035.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - -227781b?\nAnswer: 2277812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -6 + (3 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74 + 22. Find the common denominator of 145\/12 and (-2288)\/m - (-2)\/((-4)\/1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 - 2.3482283\nAnswer: -21.3482283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m = -10, m - 31 = -4*o. Let y(l) be the first derivative of 1\/4*l**2 + 0*l**3 + o + 1\/3*l - 1\/24*l**4. Let y(j) = 0. What is j?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 28, 5, -2.9, -66, 8, -1\/5?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 5, 3.\nAnswer: -12, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -687 + 689. Put p, 4, 1, -5 in decreasing order.\nAnswer: 4, p, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/6558114 and -8\/7651133?\nAnswer: 45906798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - -24 - (17 + -3 - (53 + -125))?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-5*k + 22*k - 4*k + 1)*(2*k + 0 + 0).\nAnswer: -26*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -53 and -412246.9271.\nAnswer: -412299.9271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8 and 83.\nAnswer: 66.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25.4 + -25. Let h = -6.3 - -6. What is the smallest value in 0.3, h, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 542203 (base 6) to base 14\nAnswer: 12359","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 19, -1, -29, -65, -109?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 504306.9 millilitres in litres?\nAnswer: 504.3069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041986 decades in millennia?\nAnswer: 0.00041986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x\/(x\/(x**4\/x)))\/x)**(1\/8)*x*x**(-2\/3)*x*x\/x**(-7\/5) assuming x is positive.\nAnswer: x**(127\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - d + 10. Let n be y(0). Suppose 12 + 6 = -3*p + 3*f, 5*f = n. What are the prime factors of ((-15)\/6)\/(2\/p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = k - 4*r, 0*k + 5*r = 2*k - 1. Suppose -3*z + k = z. Suppose -z*c = -7 - 1. Solve -3*u = -c*t - 13, -t - 13 = 5*u + t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77231922 to the power of 1\/2, to the nearest integer?\nAnswer: 8788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1798\/2751 - -12\/917. Factor 1\/3*g**2 - 1\/3*g**4 + 0 - 2\/3*g**3 + h*g.\nAnswer: -g*(g - 1)*(g + 1)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 33594, 67249, 100904, 134559, 168214?\n\"Answer: 33655*n - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 302 - 2*k - 298 + 3*k. Suppose -2*m + 5*i = 15, 4*i + 75 = -4*m - i. Let b(p) = -3*p - 15. Determine m*h(t) - 4*b(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/7))**(-8)*(k**(-1\/8)\/k)\/(k\/((k*(k*(k\/((k**(-4)\/k)\/k)*k)\/k)\/k*k)\/k)*k*k) assuming k is positive.\nAnswer: k**(89\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 9:39 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kku when three letters picked without replacement from uugfukk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x**2 + 2. Let m = 21 + -10. Suppose 28 = -4*i + 4*d, -2*i + m = -3*i + 2*d. Let p(c) = 94*c**2 - 2 - 100*c**2 - 1. Determine i*n(l) - 2*p(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 202144?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 10471.\nAnswer: 10467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-38)\/8 - (-44)\/11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (16 + -34 + 6 - -6) + 28\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 4:47 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 9*t**3 + 7*t**2 - 10*t + 2. Give k(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**4\/4 - 5*m**3\/3 - m**2 + 2*m + 14. Suppose t - 3 = -l - 0, 2*t + 3*l = 3. What are the prime factors of r(t)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9237.27 weeks in microseconds?\nAnswer: 5586700896000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 833 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gluiytly. Give prob of sequence gy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6769361 is divided by 676931?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 190 + 116 + 235 - 115 + 2*j**3 + 20*j - 97*j wrt j?\nAnswer: 6*j**2 - 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -19*h**2 + 335*h. Let f(b) = 12*b**2 - 224*b. Determine -8*f(t) - 5*l(t).\nAnswer: -t**2 + 117*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 1 - 1) + -1 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 - -6 - (-50 - -57)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 283*l + 89. Let o(h) = -142*h - 45. Let t(c) = 5*o(c) + 2*v(c). Let m be t(9). Round m to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -155 + -5?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {n: 2, o: 2, s: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 229142 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of h**3\/3 - 13*h**2\/2 + 22*h - 222. Let f be b(13). Solve -11*i + 11 = -f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 4. Solve 2*u = 7*u - b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, f: 4, o: 2, p: 1, t: 1}. What is prob of picking 1 o, 1 t, and 1 i?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 21*q**2 + 45*q - 5. Calculate k(23).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/259692 and -109\/58558.\nAnswer: 5972916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11165746 is divided by 5886.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 7*y + 8. Let o be x(7). Let p = o - 5. Suppose 14 = -2*u + p*u. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10, 31, 78, 163, 298?\n\"Answer: 2*d**3 + d**2 + 4*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3 + -520.670015.\nAnswer: -521.970015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 5:07 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.01 and -153.\nAnswer: -152.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-8\/11)*g**(-35) assuming g is positive.\nAnswer: g**(-382\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*b = -5, u + 2 = -u + 2*b. Let l be (8 + 10)\/(u\/4). Let j = l + -67. What is the highest common divisor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -2*a**6\/5 + 2*a**2 + 2*a. What is the derivative of m(r) wrt r?\nAnswer: -48*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-4) + 3\/(-4))\/1. Solve c = -r - 2*r + 3*u - 12, -5*r - 20 = 3*u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 617a02 + 73?\nAnswer: 617a75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4204 + 5?\nAnswer: 4211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**6\/144 + w**5\/40 + 5*w**4\/24 - w**2. Let v(n) be the second derivative of c(n). Find the first derivative of v(u) wrt u.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 16*m**2 - 867*m + 4284. Determine x(5).\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 1:53 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*d + 2*d - 28, -z + 5*d + 18 = 0. Solve 0 = z*r + 28 - 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -209*p - 258*p - 33 - 28 + 529*p with respect to p.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 15*v**2 - 24*v. What is the hundreds digit of s(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 17. Let r = p - 6. Let w = -5 + 3. Which is the nearest to w? (a) 3\/5 (b) -2\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28921 or -28918?\nAnswer: -28921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 4:57 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 5*t + 1. What is w(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 264020*l**3 + 1485661 wrt l?\nAnswer: 792060*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -4 (b) 67357 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -2*y**2 + 5\/12*y**4 - 1\/6*y**3 + 3*y + 0 + 1\/5*y**5. Let o(q) = -2*q**3 - 2*q**2 + 2. Determine 2*k(t) + 5*o(t).\nAnswer: -2*t**3 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2112)*-1)\/(5*sqrt(1584) - sqrt(11)).\nAnswer: -8*sqrt(3)\/59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -182*i**2 + 243 wrt i?\nAnswer: -364*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r**2 + 9438*r + 7413558. Let x(f) = -29*f**2 - 47188*f - 37067788. Let p(z) = -14*h(z) - 3*x(z). Factor p(s).\nAnswer: 3*(s + 1572)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 5. Let m be o(-5). Suppose -4*a + m = 176. Let s = a + 62. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 2:56 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*y - 7*y + 38 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 12*j - 3512. Let q = j + 176. Suppose -8*w + 2143 = q. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*h = 4184 - 1216 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-12))\/(-2)*-6. Suppose -103 = -5*r + 4*z, -s*r + 22 = z - 14. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 1\/12*f**4 + 0*f**3 + 41\/60*f**5 - 104*f**2 + 0 + 1\/30*f**6 + 0*f - 1\/210*f**7. What is the third derivative of x(b) wrt b?\nAnswer: -24*b + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 49*n - 5. Let p be t(-4). Let b = p + 508. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, -1\/61, -2, -55, -2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 16*l + 15. Calculate j(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i - 4*i + 2*i + 3*i - i + 0*i + i - 3*i + 0*i + (-1 - i + 1)*(5 - 3 - 3) - 5*i + 0*i + 3*i)*(3*i - 9*i + 3*i)*(3 - 3*i - 3).\nAnswer: 27*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1289.79 times 0.4?\nAnswer: 515.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 7*m**2 - 8. Let w(s) = s**3 - 5*s**2 + 6*s. Let x be w(4). Let q(u) = -2292*u + 9 + 2292*u + x*u**2 - u**3. Give 7*b(p) + 6*q(p).\nAnswer: p**3 - p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-110)\/(-385) - (-178)\/14. Solve 50 = z*j - 3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -682*n + 697*n - 30 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 1:40 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s**2. Let x(p) be the second derivative of p**4\/12 - 8*p**3 - 3*p - 27. Calculate a(x(f)).\nAnswer: -3*f**4 + 288*f**3 - 6912*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -457 + 466. Suppose 0 = -5*m - k*u + 8*u + 1547, 2*m = 5*u + 608. What are the prime factors of m?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*w = -9*w + 155*w - 62464. Calculate the remainder when w is divided by 131.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/2*4*9. Suppose h + u = -2*h. Is (-6)\/h + 724\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -421, -1666, -3747, -6670, -10441, -15066, -20551?\n\"Answer: -n**3 - 412*n**2 - 2*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 642, 1040, 968, 192, -1522, -4408?\n\"Answer: -39*k**3 - k**2 + 674*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**4 + 0*r**4 + 3*r**4)*(2*r + 2 - 2) + (-4*r**5 + 4*r**5 - 2*r**5)*(-83 - 12 - 20).\nAnswer: 234*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15025\/3606 + (0 - (-1)\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -229 + 235. Solve -j - s = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -834684688049 - -262241235290622129\/314180. Let j = 2\/15709 + q. What is the common denominator of -51\/32 and j?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2672 and 1670.\nAnswer: 13360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r + 1. Let a(f) = -f + 1. Let o(x) = -3*a(x) - w(x). Let g be o(-3). What is the common denominator of 32\/21 and g - (35\/30 + 1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22236? (a) 0 (b) -1\/13 (c) 1\/6 (d) 0.4 (e) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-26)\/(-8) + (-6)\/(-8). Let j be (-8)\/(-10)*(q + -74). Find the common denominator of 137\/18 and 3\/7 + (-2300)\/j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-24))\/(-5*5\/(-75))*-24. Let y be (-2)\/110*48\/(-4). Let u = y - 2\/5. Which is the third biggest value? (a) f (b) u (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1274\/(-234) - 187\/(-34)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.1, 1498, 1, 9, 2 in ascending order.\nAnswer: -0.5, 0.1, 1, 2, 9, 1498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 21*z = -42. Solve z = -w - 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -2775209.\nAnswer: 4\/2775209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 20*i. Let q(o) be the third derivative of 13*o**4\/24 + 189*o**2. Calculate s(q(m)).\nAnswer: 260*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 11*i - 5*i. Let k = -91 + 159. Let h = -46 + k. What is the smallest common multiple of h and i?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 3*p = -3*y - 10, 0 = -5*p - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -42 (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - (12 + -7 + (-3 - -1))) + -6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.29 and -371277829.\nAnswer: -371277828.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286 = -5*o + 4*s, 4*s + 70 = -o + 8*s. Let c(n) = -n**2 + 3*n - 61. Let r be c(0). Let k = o - r. Is 7 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 107 + -105. Suppose -437 + 477 = f*c. Is 20 not equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 k when four letters picked without replacement from akaaaaaaaaaak.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.697 - 2.297. Let s = -33037632 + 174108319969\/5270. Let o = -3\/310 - s. What is the second smallest value in o, k, -1\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1519*k**2 + 2168*k**2 - 977*k**2.\nAnswer: 2710*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 6*n**2 + 9*n + 6. Let o(r) = -2*r**3 + 17*r**2 + 27*r + 17. Let f(l) = -17*h(l) + 6*o(l). Find the second derivative of f(u) wrt u.\nAnswer: 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*s - 170 - 105 = 0. Solve -w = 3, -180*t - 35 = -184*t + s*w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 81 = 22. List the prime factors of n.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, l: 2, m: 3, i: 11}. What is prob of sequence emli?\nAnswer: 11\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c + 6*c = -11*c - 9174. What is the thousands digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -31 + 8667\/513 + (-14)\/(-1). Which is the biggest value? (a) 0.2 (b) l (c) 274\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6948785 is divided by 378.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((-4 + sqrt(1100)*-2)**2 - sqrt(1100) - (sqrt(1100) + ((sqrt(1100) - (-1 + sqrt(1100)))**2 - sqrt(1100)) + -1)) + 0)*-4.\nAnswer: 3000*sqrt(11) + 88320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 + 0)*709*(-241 + 242).\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10267 is divided by 2032.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2302404 (base 5) in base 8?\nAnswer: -120023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 9*x**2 - 2*x + 3. What is the least common multiple of 11 and k(1)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u + 1. Let m be k(1). Let z be 8 + 1 - m - -2. Suppose -3*c - 340 = -z*c. Is 21 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = w + 1871, -56*w = 3*u - 57*w - 1403. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53814 - 38285. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 200 - 74*y - 200 as p*y + j and give p.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 7580 = -0*f - 2*t, 0 = -f - 2*t + 1895. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 13*s**3\/3 + 8*s**2 + 10. What is the second derivative of d(h) wrt h?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 532501*k**5\/60 + k**4\/24 - k**3\/3 - 2*k**2. Let h be o(-2). What is h rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265762 to the power of 1\/2, to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/(-36)*(0 - 6). Let b(s) = -s**3 - 4*s**2 + 2*s. Determine b(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -1624871.\nAnswer: 5\/1624871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 9*z**4\/8 - 91851*z**3\/2 + 1874985071*z**2\/4 - 1874709527*z\/2 + 3749235361\/8 = 0.\nAnswer: 1, 61231\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 720099\nAnswer: -288039.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 80.90919 millilitres?\nAnswer: 0.08090919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-132)\/4 + (-17 - 17 - -36)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 9:46 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -517 - -510. Let m(t) be the first derivative of -t**5\/120 - t**4\/6 - t**3\/3 - 2. Let i(u) be the third derivative of m(u). What is i(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-2)*(-7)\/21 - (-66)\/12. Solve p*m - 3*d + 41 = 7, 2*d - 16 = 2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5*s, 4*p - 8 = 2*s - 2. Suppose 0 = 2*g + s*g - 815. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -0 + 10. Suppose 0 = z + d*r - 36, -3*z + 107 = 7*r - 2*r. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2556 (base 10) to base 6\nAnswer: -15500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*s**2 + 0*s**2 - 45*s**2.\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9462?\nAnswer: 2, 3, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2) + (sqrt(2) - (1 + sqrt(2)))) - (-5 + (sqrt(6)\/sqrt(3) - sqrt(2))).\nAnswer: 2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 4:01 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -7*m**3 - 3*m**2 + 4*m - 2. What is z(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -29*j + 150. Suppose -5*m + 3 = 28, -4*k - 5*m - 17 = 0. Suppose -u + k*q + 8 = q, 4*q + j = u. What is the remainder when 20 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21472 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2286\/6477*119\/112.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -117, 94, 305?\n\"Answer: 211*k - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 618305139 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vzivzvzzvvz?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 o, and 1 g when three letters picked without replacement from oevuvveuvge?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 240 + -240. Let d = -12 - -17. Put d, 1, 9, h in ascending order.\nAnswer: h, 1, d, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6596 divided by -3298?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -2.1 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-14)*(-17)\/85\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -87384 divided by 29128\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*u - 2 = -2*o, -3 = -3*o + 4*u. Solve -w - o = -3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m**2 - 5*m + 2. Let a be 12 + 2 + 0\/(-11 + 5). Let y(t) = a - 3*t + 16 + 25 + 11*t**2 - 50 - 8*t. Give 13*o(k) - 6*y(k).\nAnswer: -k**2 + k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -5*x + 17, 0 = 44*x - 43*x + f - 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, 5, 0.00589, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3090*c + j = -3091*c - 4, 30 - 14 + 18 = 2*c - 5*j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 5) in base 2?\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.03 (b) -5 (c) -1 (d) -0.1 (e) -1\/4 (f) 0.202\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvnnw. What is prob of sequence vw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 11*f - 2. Let d = -19 + 27. Let s be p(d). What is the greatest common factor of s and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8637 + -0.7686. What is m rounded to 3 dps?\nAnswer: 0.095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32619 greater than or equal to 163099\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**5\/3 - 94*s**4\/3 + 32*s**3 + 94*s**2\/3 - 95*s\/3 = 0. What is s?\nAnswer: -95, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65725\/3 + 21907. What is the fifth smallest value in -1, -1\/4, -3, -2\/5, j?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t + 3. Let x(d) = -d + 10. Determine -x(w) - 3*z(w).\nAnswer: -8*w - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 11 + (-1545)\/135 + (-148)\/(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 61.45972 decades?\nAnswer: 0.6145972","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**3 + 24*x**2 - 63*x + 30. Determine c(-14).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2444 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 + 2180*m + 11025.\nAnswer: -5*(m - 441)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -11*b**2. Let h(s) be the third derivative of -s**4\/24 - 4*s**2. Determine h(q(v)).\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 149 - 89. Let c = y - 57. Solve 11 = c*u - 4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d - 5*s + 34 + 64 = 0, d + 80 = -16*d + 2*s for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(84) + sqrt(84) + (sqrt(84) - sqrt(84)*3) + sqrt(84) + sqrt(84)) - sqrt(84))\/(sqrt(12) - (sqrt(12) - sqrt(48)\/sqrt(4))*-2).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 20*s**3 + 76*s**2 - 16*s - 16. Let q(u) = -4*u**3 - 15*u**2 + 3*u + 3. Let c(g) = -16*q(g) - 3*r(g). Suppose c(z) = 0. What is z?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57876 - -57872. Let u = 0 + -5. Sort 2\/15, u, m.\nAnswer: u, m, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/3*(-21 - (-3)\/21*165).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/z**7)\/(z*z**0*z)*z\/((z\/z**(-1\/24))\/z)*z*z**(2\/15)*z)**5)**(14\/13) assuming z is positive.\nAnswer: z**(-3283\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**6\/15 + 7*t**5\/40 - t**4\/12 - t**3\/12 + 25*t. Factor y(v).\nAnswer: -v*(v - 1)**2*(4*v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4084972547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0135167197 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -3*c**4\/4 - c. Let a(l) = -3*l**2 + 3*l**2 + l**2. What is d(a(q))?\nAnswer: -9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 9 in increasing order.\nAnswer: -5, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 8*r + 9. Let z be d(9). Suppose 4*t = -z*t + 12. Solve 5*u = -t*h, -4*h + 22 + 10 = -4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-231)\/21 - -11 - -17.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.4 (b) -2\/3 (c) 4 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 3*h - 7)*(-5 - 61*h + 5) in the form i*h**2 + m*h + x and give i.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -57 + 2*a**2 + 113 - 58. Determine m(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*k - 11*k - 144. Calculate the remainder when k is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1239 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1667518184 + 3*j**2 + 1667518181 - 3335036365.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/5)\/((-1)\/5). Suppose x*j = 4*k - 4, j = -0*k - 4*k + 20. Calculate the highest common factor of 20 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 less than 36.4?\nAnswer: 15.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 1\/24*u**4 - 76*u**2 + 0 + 0*u + u**3. Determine y(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2 + 45*c - 9. Let s be m(22). Suppose s = 9*b - 8*b. Suppose w = b - 13. Is 1\/56 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*p + 100 = -8*p. Suppose -h - p*q + 386 = 0, -7*h + 8*h + q = 401. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -98472 + 202365. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4323, -8685, -13093, -17553, -22071?\nAnswer: -26653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.23281 centuries to millennia.\nAnswer: 9.923281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m**2 - 1 + 58*m**2 + 0.\nAnswer: 68*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 23106, 23065, 23024, 22983, 22942?\n\"Answer: -41*n + 23147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-2\/3)*v))**(-13)*(v*v\/(v*(v\/v**1)\/v))**27 assuming v is positive.\nAnswer: v**(136\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**5*o\/(o\/o**(3\/5)))**(-41))**(-6\/17) assuming o is positive.\nAnswer: o**(6888\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -915 (base 12) in base 3?\nAnswer: -1210122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178209?\nAnswer: 3, 19801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - l**2 - 2. Let n be t(-2). Suppose 0 - n = y. Let d(x) = 2*x + x**2 + 0*x**2 + 0*x - 1. Give d(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94544, -189050, -283556, -378062, -472568, -567074?\nAnswer: -661580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/3? (a) 4 (b) -2 (c) 5\/2 (d) -1.7 (e) 25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 156482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/45 and -34\/1935.\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -196667 divided by -1\nAnswer: 196667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -67, -66, -65, -64?\n\"Answer: v - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven halves of a century?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -174*g + 87. What are the prime factors of b(-2)?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**6\/60 + a**5\/60 + a**4\/24 + a**3\/6 - a**2. Let q be d(-1). Suppose q*y = -0*y + 273. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/17 greater than 36\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 27 = 4*k, k - 17 = -k - 5*i. Let l = k - 3. Suppose -l*u = -5 + 2. What is the highest common factor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 509377.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -4, 56 in decreasing order.\nAnswer: 56, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 10*z**3 + 5*z - 6*z.\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94506605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93, 3, 2, 1, -2.\nAnswer: -93, -2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -0.4 (c) -0.1008 (d) 0.4 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -63, -57, -51, -45?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 122224 + 1?\nAnswer: 122230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**2 - 4022*b - 189862. What is o(-49)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k = -48. Let w = 18 + -32. Let f = k + w. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 40 + -2 + 1*-2. Suppose -20*w - 29 = -21*w - 5*y, 4*w + 5*y = 56. Calculate the greatest common factor of w and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**4 + 17*p**3 + 474*p**2 - 2628*p + 3240 = 0. Calculate p.\nAnswer: -18, 2, 3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222211111101121 - 1?\nAnswer: 222211111101120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 110.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*sqrt(832) + 5 + sqrt(832) + (sqrt(832)*1 + -3)**2)*1.\nAnswer: -32*sqrt(13) + 844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, b: 3}. What is prob of picking 3 o?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 2*a**2 + 4*a + 4. Let c be (-3)\/(-1 - (1 + -3)). Let q be h(c). Which is smaller: -0.1 or q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -495.6 and 14.\nAnswer: -6938.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -20 (b) 0 (c) -1 (d) 2\/13 (e) 4\/15 (f) 2\/5 (g) 1\/32\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 12. Suppose -3*u - p - 2*p - 15 = 0, 0 = u + n*p + 17. Let k = u - -5. Solve 20 = -0*m + k*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6533 + -6527. Let v = -0.22 + 0.62. Which is the biggest value? (a) t (b) v (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - -17. Let z = -2140 - -2158. Calculate the lowest common multiple of z and f.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7*(-1)\/(-39) - (-34)\/(-221). What is the closest to u in -2.7, -0.5, -3\/7, 1\/2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6998630.\nAnswer: 2, 5, 699863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**4\/5 + 42*m**3\/5 + 48*m**2 + 40*m = 0. What is m?\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.845791 rounded to 1 decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 7*m**2 - 15*m - 92. Determine o(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12a + 26?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -10. Suppose -28 = -r*s - 2*s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2968, 4233, 3902, 1975?\n\"Answer: -798*o**2 + 3659*o + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4143 - 302*w**2 + 3*w**3 + 302*w**2 + 2085 - 6*w + 2058.\nAnswer: 3*w**3 - 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence acuu when four letters picked without replacement from {s: 4, t: 1, a: 3, c: 1, u: 9}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -787\/2779 + -1\/397. What is the third biggest value in f, 2\/7, 12?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 66*d**2 + 345*d - 945. What is t(-60)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 849974 to the nearest integer?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(2805\/(-44))*5\/2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10632342 divided by -1699?\nAnswer: 6258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 14 = a. Let h be (-27)\/2*a\/(-7). Suppose 0 = -5*i - 0*i + 2*q + 550, -5*i - 4*q + 520 = 0. Calculate the highest common divisor of i and h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 divided by 164?\nAnswer: -40\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-20)\/40)\/((-1)\/20). Suppose -5*p = 4*k - r, -5*p = -7 - 3. What is the second derivative of -13*c - 25*c**5 - 7*c + k*c wrt c?\nAnswer: -500*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 4*z - 13 = 1, 2*r = 3*z + 19 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2138, 9398, 21492, 38414, 60158, 86718, 118088, 154262?\nAnswer: 195234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.111555 minutes in nanoseconds?\nAnswer: 66693300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 416\/21 + 75\/14. Calculate the common denominator of i and 53\/270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 - -141. Let m = 103 - o. Sort -4, m, 2 in increasing order.\nAnswer: -4, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2*(10\/40 - 10\/(-44)) and 24\/36 - (1887\/900 + -2)?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 12*h**2 + 20*h - 12. Calculate p(13).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -x**5\/12 + x**4\/24 - x**3\/3 + x. Let r(f) be the second derivative of g(f). Let s = 1118 + -1119. What is r(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -28672 - 55*j**2 + 28672 + 54*j**2. Let i(s) be the first derivative of -17*s**3\/3 + 2*s + 2. Calculate l(i(w)).\nAnswer: -289*w**4 + 68*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2951\/12 or 246?\nAnswer: 246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-224)\/(-24) + 6\/9 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -15*h. Let y(g) = -8*g - 1. What is c(y(o))?\nAnswer: 120*o + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*a + 405773 = 137*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + -1 + 1 - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 7613*d**3 + 0.\nAnswer: -7613*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/(1104\/49)*(-6)\/8 and -13\/160.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 5, 71, -2\/5, -3\/5, -1.52?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1305 (b) -1\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.0115 * 1773.3\nAnswer: 20.39295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417600 is divided by 473.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 12, 29?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-22)\/3*((-1)\/1 + (-19076)\/(-8)). Round l to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92\/37 + -534\/185. Which is the nearest to -1? (a) 0.9 (b) t (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -532c5 (base 14) in base 8?\nAnswer: -610255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 9. Suppose x = 2*v + 2*v - 124. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 88*m + 771. What is the thousands digit of r(27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1895\/16 + -117\/16. Let m = p + 126. Factor m*r**5 + 0 + r**2 + 3\/4*r**3 - r - r**4.\nAnswer: r*(r - 2)**2*(r - 1)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1428 + -3?\nAnswer: 1425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 8:12 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 393418.7 nanograms to tonnes.\nAnswer: 0.0000000003934187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 20 - 2\/55*f**5 - 1\/11*f**6 + 1\/2*f**4 + 8\/11*f - 8\/11*f**2 - 2\/11*f**3. Suppose h(w) = 0. What is w?\nAnswer: -2, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 + 49*b - 23. Let d be c(-22). Let q = 151 + d. What is the lowest common multiple of 18 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 not equal to 3524\/353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163218?\nAnswer: 2, 3, 11, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u. Let p be g(0). Let h = 10 + p. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 7*b. Let v(s) be the third derivative of -11*s**4\/12 - 265*s**2 - 1. Give v(t(r)).\nAnswer: -154*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2 + -4 + 1 + 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*b**2\/7 - 4266*b\/7 + 20 = 0. What is b?\nAnswer: -35, 2\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 1 = -2*j - 6, -2*f = 5*j - 30. Let p = 0 + f. What is the second derivative of -i + 2*i**p + 0*i - 4*i**5 wrt i?\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*j - 3 + 24*j + 3.\nAnswer: -35*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/2*(-2)\/(-2 + 0). Suppose 441 = -0*s + x*s. Is 31 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17\/306*36*2*14)\/(-1)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -119.757 - 0.243. Is -1\/4 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*x - 26*x - 8. Suppose 0 = 4*a + a. Suppose a = -4*m - m + 15. Let k(l) = 5*l**3 + 4*l. Let i(c) = 4*c**3 + 3*c. Give m*k(g) + x*i(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**5\/7 - 186*h**4\/7 - 572*h**3\/7 - 384*h**2\/7 = 0.\nAnswer: -2, -1, 0, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*j - 33, 5*x - 4*j - 13 - 6 = 0. Suppose -2*i - 3 - x = 0. Suppose 0*z = -4*n + 2*z - 20, n + z - 1 = 0. Sort n, i, 0.\nAnswer: i, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + (-18)\/1)*-5. Suppose -k = -5*m - m. Calculate the greatest common factor of m and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 232347830 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 13*q - 5100. What are the prime factors of q?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.33123 and -0.4.\nAnswer: -0.932492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u**2 - 11*u + 32. Calculate s(3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 7. Let n = 8.7 + c. Let w = n + 1.23. Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/27)\/(9*(-285)\/925748514). Find t, given that 8978*t + 2\/3*t**3 + o + 134*t**2 = 0.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**2\/5 - 596*n\/5 + 1188\/5 = 0. What is n?\nAnswer: 2, 594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/(-4) + 1\/4. Let c = u + 3. What are the prime factors of (-22)\/6*(c - 9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3\/9 - 164*v**2\/9 + 200*v\/3 + 208 = 0.\nAnswer: -2, 6, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 2219 = -325. Let o = f - 1112\/7. Which is the fourth smallest value? (a) 5 (b) -2\/3 (c) o (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7239940 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18388902919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeensneeeeneeee. What is prob of sequence es?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) -18.7 (c) 21370\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 15363.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 478029 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 36*z**2 + 24*z**2 + 15*z**2 + 103 in the form h*z + v + s*z**2 and give v.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus 80?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, a: 2, d: 2, q: 1, j: 2}. Give prob of sequence dr.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-600)\/(-1000))\/(6\/8)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c - 45. Let i be m(-15). Suppose i + 0*j - 2\/9*j**2 = 0. What is j?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 8)\/3 + 60. Suppose 3 = 3*d - 6. Suppose d*q + 0*q = w. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 + 3)*(-5)\/4. Suppose t*l = 9*l - 140. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + i = 4 - 3, -3*i - 1 = 4*h. What is the second derivative of 3*p**2 + p**5 - h*p - 5*p**2 + 2*p**2 wrt p?\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 + 19 = -5*z. Suppose -5*p = 5*i + 265, 3*p - i = -2*i - 153. Let k = z - p. Is k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*k**4 - 52386568*k**3 - 42626265*k - 4.\nAnswer: 84*k**2 - 314319408*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -81, -84, -71, -36?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssmssmsmsms. Give prob of sequence msss.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a centimeter in millimeters?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19394*k**2 + 6938 wrt k.\nAnswer: -38788*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2981 less than -23.29587?\nAnswer: -3004.29587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) - (sqrt(63) + sqrt(126)\/sqrt(32)) - 6*sqrt(189)\/sqrt(3))\/(5*(sqrt(9) - sqrt(324) - sqrt(9))*3).\nAnswer: 5*sqrt(7)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13760\/13*g**3 - 3888\/13*g**2 - 14\/13 - 436\/13*g - 17152\/13*g**4.\nAnswer: -2*(4*g + 1)**3*(134*g + 7)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssannqh. What is prob of sequence hns?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10180655*l**3 + 2030286*l wrt l?\nAnswer: -61083930*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 717 divided by -69\nAnswer: -239\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*h + 287 + 98 = 0. Let z be h*(1\/6 - (-26)\/(-12)). Calculate the greatest common divisor of 165 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11332810 divided by -5666405.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express b**3 + b**3 + 18*b**3 + b - 2 in the form g*b**3 + v*b + f*b**2 + a and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17586663*t + 17288944 wrt t?\nAnswer: 17586663","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2063275988*w + 2063275988*w - 10*w**3.\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 668*a - 12684. Give r(19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*0\/(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.12, -91, -2\/13?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**4 - 3*k**4 - 131 + 2*k**2 + 0*k**4 + 51*k**4 with respect to k.\nAnswer: 196*k**3 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a9 (base 11) to base 9.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -44106692.73882 plus -0.4?\nAnswer: -44106693.13882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2305352 and 392?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(-2 - 3 + 6)*(87*k + 3038*k**3 - 88*k - 2674*k**3 - 5*k**5).\nAnswer: -5*k**5 + 364*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121323 + 220?\nAnswer: -121103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -207\nAnswer: -2\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**4 - 3*c**4 + 5*c**4)*(10*c + 0*c + 0*c)*(-2 - 1 + 4).\nAnswer: -20*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4911, -4760, -4501, -4128, -3635, -3016, -2265, -1376?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-18656.1.\nAnswer: -18656.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2506, -3808, -5962, -8968?\nAnswer: -12826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -203 - 3?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3100342 to the nearest integer?\nAnswer: 1761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 61057*q - 244238. Calculate x(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-58)\/(-4))\/(-29))\/(((-3)\/3)\/14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in thirteen quarters of a microsecond?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/(-5)*-3*5. Let d = 8 + a. Let r = 69 - d. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/11 and 39\/37.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 29*m - 25. Let o be z(-14). Let r = 6 - o. Suppose -q + 39 = -4*p, -r = -5*q - 6*p + 3*p. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*j = 472, 11*f + j = 8*f - 354. Which is smaller: f or -594\/5?\nAnswer: -594\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 34921 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1242 + -23332?\nAnswer: -30124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence icbf when four letters picked without replacement from tfccbcofiocoooc?\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/22 and 1\/4114.\nAnswer: 4114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sivniinvsxxisiixsvxv. What is prob of sequence vxv?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-540)\/(-972))\/((-5)\/(-3))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p**2 - 290 + 118 - 4*p**2 - 154.\nAnswer: -16*p**2 - 326","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18788711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -15, -39, -73, -117?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*m - 2. Let y be 1 + 0\/3 - m. Suppose 0*k - 58 = -y*k. Calculate the remainder when k is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 158*b**2 + 467*b + 2570. What is q(161)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -598b + 1a?\nAnswer: -5971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9, e: 2, d: 7}. What is prob of picking 2 c, 1 d, and 1 e?\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -6*o**2 + 8*o. Let g(z) = -4*z**2 + 5*z. Let v(a) = 8*g(a) - 5*t(a). Let f(d) = -50*d**2. Determine v(f(l)).\nAnswer: -5000*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2673 - 2 = 94*v - 983 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 0*k**4 - 1\/6*k**3 + 0 + 11\/60*k**5 + k**2 + 0*k. Let r(h) be the third derivative of -h**4\/24 - 18*h**2 - 17. Give b(r(m)).\nAnswer: 11*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 27?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 294\/98*(-4)\/(-3). Let o(d) = d + 11. Let a be o(0). Let i = 71 + -66. Solve w = i*r - a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 2*j**2 + 3*j - 4. Let a be i(3). Let o(y) = 13*y + 4. Let l(g) = -7*g - 2. Calculate a*o(q) - 7*l(q).\nAnswer: -3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76599.32g to tonnes.\nAnswer: 0.07659932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1043?\nAnswer: 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12.06 + -5406\nAnswer: -5393.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2 + 20*u - 66*u + 23*u + 18*u. Determine o(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -129 + 129 + 3*q + (1 + 0 - 3)*(40*q + 72*q - 203*q) to the form v + s*q and give s.\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 13. Suppose -4*m - 145*u - 12 = -140*u, m + 3 = 5*u. Sort -1, 3, m, f in decreasing order.\nAnswer: f, 3, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -667, -572, -465, -340, -191, -12, 203?\n\"Answer: q**3 + 88*q - 756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25630646.\nAnswer: 2, 593, 21611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, p: 2, m: 10}. Give prob of picking 2 m.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 139.162 and -0.71.\nAnswer: -98.80502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*n = 42*n, 3*t = 4*t + 5*n. Solve m = 5*k + 5*m, t = 4*k - 3*m for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -90*g - 1501. What is k(-28)?\nAnswer: 1019","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 12*v + 4. Let g be r(-12). Let x be (-42)\/(-4)*(-4)\/3. Is (-486)\/x + g\/14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**2 + 7*m - 5. Let p be g(4). Suppose -5*d + 244 = 4*i, -5 + p = 2*d + 2*i. What is the greatest common divisor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 26 = -2*w, -160*h + 155*h - 2*w = 70 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*g - g. Let r be 2*6*(-1)\/(-4). Find the first derivative of -4 - a**r + 3 + g + 2*a**3 wrt a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48.5 + -55. Let l = 6.5000026 + m. What is l rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 854909 + 418?\nAnswer: 855327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 52581308.\nAnswer: -5258130.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1791 at least as big as 1791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 18 = 5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19370307*d*o + 2821702*o wrt d.\nAnswer: 19370307*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 0 + 8 + 3 - 153847*g. Let h be (3 - (-2 - -4)) + 12. Let k be o(h). Round k to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82277 divided by 135\nAnswer: -82277\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a**2 + 0*a**2 + 4*a**2)*(1287 - 411*a - 1287)*(4 - 4 - 1)*(1 + 3*a - 3*a + a) as y*a + v*a**3 + l + r*a**2 + c*a**4 and give c.\nAnswer: 822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2155620 and 888?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000056777 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 - -431. Suppose -2*h = 2*g - 484, -h + 2*h = 2*g - v. Let l = g - 985\/4. What is the closest to -1 in 1\/2, l, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16 + -236?\nAnswer: -24c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/(((-91)\/(-1337))\/13) is divided by 123.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-2)*-1)\/(304\/(-64)*-4*-1)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + a**2 - 19*a - 29. What is q(4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/27 + (-1324)\/(-36) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) -6269 (b) 3\/5 (c) -2\/97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -401.5 + -29.5. Let j = -431.000002158 - d. Round j to 7 dps.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 548097?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -6. Let d = -10 + o. List the prime factors of (38\/d - 0)*-3.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 23. Let b = k - 8. Calculate the remainder when 22 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -138 - -145. Let o be ((-8)\/y)\/(10\/(-35)). What is the highest common divisor of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121820 and 4460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (20\/(-70) - 0)\/((-3)\/819) and 36.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fs when two letters picked without replacement from {s: 3, b: 3, f: 3, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h. Let y(j) = -2*j - 26567. Calculate c(y(w)).\nAnswer: -14*w - 185969","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 3, 0, -69, -2\/25, 1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8098.308 weeks to microseconds.\nAnswer: 4897856678400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4366 - 0.3?\nAnswer: 4365.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 11:39 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d*i**3*s - 5*d - 2*i**3*s**2 - 13*i**3*s + i**3 - i**2 + 21*s**2 wrt i.\nAnswer: 12*d*s - 12*s**2 - 78*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*r - 3. Let a be ((-2)\/(-3))\/(10\/30). Find j such that j - j**4 - 3*j - 6*j**3 + a*j**r + 4*j**2 + 3*j**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/(-102)*(-16)\/(-120)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -251 + 250.754. Let v = h + 2.246. Is v not equal to -5.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0.2. Let t = 20 + -15. Let n be (-3)\/45 + t\/(-15). Put m, n, 2\/15 in decreasing order.\nAnswer: 2\/15, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 3:36 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s. Let m(h) = 2*h**2 - 8*h - 3. Calculate w(m(x)).\nAnswer: 14*x**2 - 56*x - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -4*n + 9, 4*n - 39 = -41*x + 44*x for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - r**2 - r + 2. Let d be y(0). What is the third derivative of 0*q + 28034*q**d + 0*q - 126*q**6 - 27922*q**2 wrt q?\nAnswer: -15120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -340 or -342?\nAnswer: -340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10.74 or 14\/15?\nAnswer: -10.74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 468, 584, 696, 804, 908, 1008, 1104?\n\"Answer: -2*n**2 + 122*n + 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28488199 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 5:18 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 16230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 270?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 17 (b) -0.5 (c) 0.1 (d) 13.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 49 = -l, -3*c + 28 = -2*l - 9. Let k = 15 - c. What is the units digit of 37 - (k + (4 - 5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffffxffxfx. What is prob of picking 1 f and 1 x?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 355227?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 11:15 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3700233 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -1\/1186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j - j + 0*j + 6*j - 5*j - 2*j + (2*j + 2 - 2)*(1 + 3 - 6) + 4 - 4 - j + (-92 - 61 - 8)*(-3*j - 5*j + 3*j).\nAnswer: 797*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/1930 and -11\/45.\nAnswer: 17370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 8 = 2*w - 20, 5*w - 40 = 3*i. Let y be (-14)\/(-21) + i\/(-6). Solve -4*m - 4*g = -8, y*g = -3*m + 3*g + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(11) + sqrt(77)\/sqrt(7) + -2)**2.\nAnswer: 12*sqrt(11) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -x - 4*x + 4*x + 0*x - 3*x + 2*x + (0 + 0 + x)*(-2 + 3 - 3) + x + 2*x - 2*x + 2177*x - 4054*x + 2039*x + 2*x - x + 0*x in the form g + a*x and give a.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 4, -9, 0.1, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + r + 8 = -2*z, 5*z - 4 = -4*r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22133040?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (13\/26)\/(0 - (-3)\/870). Let p = -87 + t. Calculate the remainder when p is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-20))\/(79\/(-3160)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-246)\/(-164))\/(-3 + -75*(-9)\/228)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -6 - 6. Let v be (24\/(-28))\/(n + 0). Which is the second biggest value? (a) 2\/11 (b) v (c) -1\/3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**5 - 6*o**4 - 36*o**3 + 54*o**2 + 81*o.\nAnswer: 3*o*(o - 3)**2*(o + 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b - 7. Suppose 2*z - 12 = 8*z. Let g(d) = -3*d - 3. Let u(x) = z*q(x) + 5*g(x). Give u(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-34680)\/9 + 4)*(-9)\/2. Suppose -3*d - 3*l + q = 0, -18*l = -3*d - 23*l + 17312. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35679 to the power of 1\/2, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27809383 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8465771, 16931544, 25397317, 33863090, 42328863?\n\"Answer: 8465773*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 127337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -431, -606, -781, -956, -1131?\n\"Answer: -175*o - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p. Let g be ((-9)\/36)\/((-1)\/20). Let x be (1\/(-4))\/(g\/(-60)). Let c(l) = -3 + x + 343*l - 347*l. Determine b(c(f)).\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = -13*z + 5*z - 49 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-5)*(-840)\/(-16). Suppose -3*m = v - n, -3*v + 66 = -2*m + 7*m. Suppose 19*f - m*f = 844. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 137 - 493. Let s = i + 570. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 l when three letters picked without replacement from ssllsllllslsllss?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292120.8*8.\nAnswer: 2336966.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -325 - 32717?\nAnswer: -33143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276 + 38 = 7*p. Let a be (p\/6 - -1)\/((-6)\/(-27)). Let n = a - -36. Calculate the remainder when 29 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + (21 - -7) + (-35 - 4 - (4 - 1)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 + 142*o + 1159*o + 59.\nAnswer: 1301*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g - 14. Let b(o) = o + 6. Let u(x) = 7*b(x) + 4*h(x). Suppose -18 = 2*v + 12. Let s be u(v). What is s rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1265247\/160 - 7908. What is the common denominator of k and -77\/520?\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(27) + sqrt(27) + 2 + sqrt(27) - (sqrt(3) + (-6*1*sqrt(3))**2)).\nAnswer: -24*sqrt(3) + 318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 + u**3 + 2*u**2 - 3*u**2 - 5*u**2.\nAnswer: u**3 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/256 and 9\/320?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1201320 to the nearest integer?\nAnswer: 1096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -1) + 93 + -76?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 + 24 + 18 + (-3 - (-26 - -4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101011010101010 + 101?\nAnswer: -1101011010100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.0412 + -1.0412. Which is the nearest to x? (a) -6 (b) 1.25 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, a: 5, y: 11, e: 1}. Give prob of sequence aeya.\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 4*l + 14. Let r(k) = -k**3 + 10*k**2 + 12*k - 9. List the prime factors of r(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*x = 48*x. Suppose 3*b = 2*k + 1931, x*k - 1286 = -2*b + k. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-196)\/(-112)*640\/(-336)*(-27)\/(-72).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 2*n**2 + 65*n + 35. What is u(9)?\nAnswer: 1187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -4, 0.144?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c = -47*c + 16940. Calculate the smallest common multiple of c and 18.\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 15 = -11*r, -r - 18146*c = -18151*c + 27 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -249392581425 minus -0.14?\nAnswer: -249392581424.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/140*((-20)\/(-30))\/(4\/(-2)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(2) + 1)*5 - sqrt(16)\/(sqrt(16)\/sqrt(2)))**2 + -5.\nAnswer: 70 + 50*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 + 4*y**2 + 6*y**3)*(-150 + 150 - 24*y)*(0*y + 4*y - 3*y).\nAnswer: -144*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5053*t - 25255. Determine j(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9, 2, -2 in increasing order.\nAnswer: -9, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -19*l**3 + 300*l**2 + 64*l + 2. Calculate a(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -16*o**2 + 30*o + 3. Let b(h) be the second derivative of h**4\/12 - h**2\/2 - 4*h. Let q(t) = 3*b(t) + s(t). Find the second derivative of q(n) wrt n.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 3*k - 2. Let o be b(-4). Let p(m) = o*m + m - 5*m. Let g(h) = -6*h - 5. Let y(u) = -u - 1. Let l(w) = g(w) - 5*y(w). What is p(l(c))?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -23. What is the highest common divisor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 7:43 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/(4*(-1)\/3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/8)\/(231\/(-44) - -5). Let z(u) be the first derivative of -u**3\/3 + 3*u**2\/2 + u - 2. Let w(d) be the first derivative of z(d). Give w(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1780382865 is divided by 5324?\nAnswer: 5321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5277, -10449, -15521, -20493, -25365?\nAnswer: -30137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15685, -15185, -14337, -13141, -11597, -9705, -7465?\nAnswer: -4877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4786.821 millennia?\nAnswer: 4786821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 321*b*d**3 + 310*b*d**2 - 63*b*d + 187*d**3 wrt d.\nAnswer: 1926*b + 1122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) 0.4 (c) -0.4 (d) -2960\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from covcxcovuo. Give prob of picking 1 u, 1 c, and 1 v.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.689 and 0.156?\nAnswer: -1.043484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 9*m**2. Let c(u) = 3 + 7*u - 10*u - 3. Give y(c(v)).\nAnswer: 81*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2220504 (base 6) to base 4.\nAnswer: -123100120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(196\/68) + -2)\/((774\/324)\/43)?\nAnswer: 54\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a + 3*a + 5*a)*(a + 2*a + 0*a)*(-53*a**2 + 53*a**2 - 21*a**3).\nAnswer: -126*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 2*z**3\/3 - 13*z**2\/2 - 7*z. Let s be u(4). Calculate the highest common factor of 6 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503*c - 22764 = 821*c + 302*c for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/8928 and -55\/3744?\nAnswer: 116064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 220, 8, -21, -20, 1.\nAnswer: -21, -20, 1, 8, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwiwqwiqqqiwwi. Give prob of picking 2 q and 1 w.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 6*o**2 - o + 8. Let t be y(6). Suppose 0 = h - t*p - 25, 5*h = -3*p - p + 139. Calculate the remainder when h is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b - 2 + 2 + 2)*(-2 - 53 - 6)*(-1 + 1 + b**3)*(1 - 4 + 2).\nAnswer: -366*b**4 + 122*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p + 49. Calculate the remainder when x(-9) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 4 (b) -8 (c) -36 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - 1696\/12*-3. Suppose -549 = -5*s - o, s + 2*o + m = 5*s. Is 17 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - i = -5, 3*n + n - 2 = -3*i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1132277.\nAnswer: 47, 24091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 44 + (-37 - -24) - 2\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 1 + 8 + 8924303*z.\nAnswer: 8924303*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -237, -239, -241, -243, -245, -247?\n\"Answer: -2*m - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4935701 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -398, -785, -1162, -1523, -1862, -2173, -2450, -2687?\n\"Answer: d**3 - d**2 - 391*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 54.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-289*s**2 - 174 + 174)*(-s**2 - 4*s**2 + s**2) in the form u*s + j*s**2 + n + h*s**4 + m*s**3 and give h.\nAnswer: 1156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 204*a**2 + 367*a + 33398. Give c(-205).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 227976 and 280?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o - 1. Suppose -25 + 93 = 17*s. Determine g(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7733953l to millilitres.\nAnswer: 773.3953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 11*a**2. Let u(g) = -4*g**2 + 3*g. What is k(u(l))?\nAnswer: 176*l**4 - 264*l**3 + 99*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 490*r - 113. Does 13 divide z(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8192349 and 7387?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 94 (b) -0.4 (c) 0.3 (d) 2\/19 (e) -1\/7 (f) -4 (g) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times 0.39?\nAnswer: 0.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from hzhzzzhhza.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t = 4*t - 567. Let i = -63 - t. Solve -2*r + d + 0 = -1, i = r - 4*d + 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/2)\/m*m**(-5)*((m\/m**(-8)*m*m*m)\/m*m)\/(m*m**(-1\/2)*m*m) assuming m is positive.\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 3. Let n be s(-10). Let c = 42 - n. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-2)*2400\/840\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, y: 3, z: 3, m: 2, t: 3}. What is prob of sequence tzth?\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 105*u**2 + 324*u - 7. Determine b(-108).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**4 - 6*h**2 + 6*h**2)*(-83*h + 85*h - 5 - 4).\nAnswer: 4*h**5 - 18*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 149, 19, -2, -5, -6 in ascending order.\nAnswer: -6, -5, -2, 1, 19, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78675731 is divided by 1026?\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -14523423 (base 6) in base 10?\nAnswer: -508839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 1\/40*i**5 + 0*i**2 + 1 + 0*i**4 + 5*i - 1\/120*i**6 + 0*i**3. Let j(h) be the first derivative of u(h). Factor j(r).\nAnswer: -r**3*(r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -283\/372 + 1\/93. Let z be -1 - (-3)\/(594\/(-260)). Let i = z - -23\/11. Sort f, i, -5.\nAnswer: -5, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198541.\nAnswer: 7, 113, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 497206 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 15, 16, -5, 0 in decreasing order.\nAnswer: 16, 15, 0, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -136107378 to the nearest ten thousand.\nAnswer: -136110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-75)\/(-9))\/((-6)\/(-18)). Suppose 0 = d + 5, 0 = 4*j + 6*d - d + v. Suppose 3*s - 42 = -j*s. Which is smaller: s or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u + 11. Let o(t) = t - 5. Let v(m) = 4*m - 15. Let l(x) = 7*o(x) - 2*v(x). Calculate -7*l(b) - 3*q(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/9 - 2*p**2\/9 + 4*p\/9.\nAnswer: -2*p*(p - 1)*(p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/5*-1 + 0. Let b = 66516 + -1529858\/23. What is the closest to -1 in q, -0.1, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-21)\/(j**(3\/13)*j))**45 assuming j is positive.\nAnswer: j**(-13005\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/sqrt(5)*-5 + 2)**2.\nAnswer: -20*sqrt(17) + 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**4\/24 + 7*n**3\/6 + 5*n**2. Let p be z(-7). Sort 0.1, p, -0.4 in decreasing order.\nAnswer: 0.1, p, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in sixty-four fifths of a microgram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 348 and 13331532?\nAnswer: 13331532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5 = -4*c, 0 = -3*z + z + 3*c + 5. Let h(q) = 2*q + 5*q + 0*q - z - 8*q. Give h(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 at least as big as -148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -59, -71, -89, -113, -143?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 3*q**3 + 0*q**3 - 30 + 54.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -300, 18, 15?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8c940 (base 14) to base 13\nAnswer: -bc917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 + 12*t**2 - 16.\nAnswer: -4*(t - 2)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 15*-1.16732\nAnswer: -17.5098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -3*d + 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**4 + w**3 + 7*w**2 - 13*w + 6 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 203*h**3 - 49*h**2 - 4*h - 2. Let p(k) = -206*k**3 + 41*k**2 + 3*k + 2. Calculate -5*b(g) - 6*p(g).\nAnswer: 221*g**3 - g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 1:04 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8541*i**6 - 4*i**5 + 846*i**2 - 29 wrt i.\nAnswer: 1024920*i**3 - 240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11650631051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4014 divided by -734?\nAnswer: 2007\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6235 and 147146.\nAnswer: 735730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22667210.\nAnswer: 2, 5, 59, 103, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1089)\/270 - 1\/(-5) - -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12 + -13 - (-1267 + 5)?\nAnswer: 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5203 - 2966. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*t + 486, 3*t + 3*x - 317 = -23. Let h(r) = 5*r**3 - r**2 - r. What is the remainder when t is divided by h(2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5025, 10025, 15025, 20025, 25025, 30025?\nAnswer: 35025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1989327 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40903 or -163613\/4?\nAnswer: -163613\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 10:02 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**3\/3 - 5*g**2\/2 - 4*g - 5. Let h be s(-3). Solve h*u + 5 + 5 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.45 and 6.77?\nAnswer: -3.0465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4\/7, 0.3, -14, 0.1 in decreasing order.\nAnswer: 2, 0.3, 0.1, -4\/7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6997 + -6994. Solve 16 = -4*c + n*v, -4*c - v - 11 - 5 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(272) - (sqrt(272) - (-2 + sqrt(272))) - sqrt(272))*-5)**2 + -1.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9960 = -339403*w + 678699*w - 339545*w for w.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/6 - -1)*6. Suppose -7 = -4*v + n. Suppose 2*y + 5*d = 116, -v*y = 2*d + d - 204. What is y rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 346, 688, 1072, 1522, 2062, 2716?\nAnswer: 3508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**2\/9 - 103832*k\/9 - 830528\/9 = 0. Calculate k.\nAnswer: -51908, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 6:38 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -28671 (base 16) in base 12?\nAnswer: -7b929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 20*n + 16. Determine d(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 38. Suppose 16 = -2*y + k, -y - 5*k - 8 = -3*k. Let i = y - -19. Calculate the remainder when r is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43186\/9*q + 4\/9*q**4 - 580\/9*q**3 - 16\/9*q**2 + 2\/9*q**5 - 81796\/9 = 0. Calculate q.\nAnswer: -13, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -446*v - 393*v + v**2 + 830*v - 123*v**3 to x + d*v**2 + m*v + h*v**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223081 is divided by 5719?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53)\/(-6) - (-3590)\/(-4308)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1578 - -1425. Which is greater: 0.1 or y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 242, 1221, 2856, 5153, 8118, 11757, 16076, 21081?\n\"Answer: o**3 + 322*o**2 + 6*o - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -23530, -23242, -22756, -22066, -21166?\n\"Answer: d**3 + 93*d**2 + 2*d - 23626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**3\/3 - t - 90. Let m(x) = 5*x**2 - x. Give 4*i(j) - m(j).\nAnswer: -j**2 + j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -28. Let j(z) = -z**3 + 7*z**2 + 9*z + 10. Let d be j(g). Let o = d + -10. What is the highest common divisor of 40 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**2*h - 19534*g*h**2 + 246224*h**2 with respect to g.\nAnswer: 2*g*h - 19534*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 52.\nAnswer: -7\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 681, 1443, 2205, 2967, 3729?\nAnswer: 4491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 971 (base 12) to base 16.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 0.1, 0.3, -1\/2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 7*w**2 - 7*w - 12. Let p be u(5). Suppose p*z = 13*z - 90. Calculate the least common multiple of 51 and z.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 293, 76, 0, -1068, -5 in descending order.\nAnswer: 293, 76, 0, -5, -1068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*k - 66 = 0, 3*g = 2*k - 16 + 115. Calculate the highest common factor of g and 704.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 686516319*p**5 + 50704676*p.\nAnswer: 13730326380*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5338 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4*u**4 - 166164*u**3 + 1734676656*u**2 - 187180163776*u + 720976462080 = 0?\nAnswer: 4, 105, 20716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7006\/(-1 + -1) - 1. Let b = v + 24482\/7. Find the common denominator of b and 119\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3199*q**4 - 5515 wrt q.\nAnswer: 12796*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*y = 17974, 21*y = -2*d + 25*y + 9008. Is 162 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14772, 29543, 44314, 59085?\n\"Answer: 14771*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 665962 and 2452?\nAnswer: 816469412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 11*s**2 + 8*s + 106. Let h be q(-11). Let w = h + -43101\/32. Calculate the common denominator of -97\/68 and w.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4178 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plllllllplll. What is prob of picking 2 l?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 3*s**2 - s**2)*(-50 + 43 + 288)*(-1 - 7 - 3).\nAnswer: -9273*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-5) - (2116\/(-115) + 15). Solve -u*n + 22 = -3*p + 5, 5*p + 21 = 3*n for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*8.842\nAnswer: 61.894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 16*b - 9. Let f = -83 - -66. Let q be y(f). Let k(p) = -p**2 + 10*p - 19. Give k(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bsh when three letters picked without replacement from qsqoshspqsbospsqpoph.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*w + 697*w = 585 - 1987 - 1565 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - c = -0*c - 127, -4*u - 253 = -3*c. Suppose 0*d = -d - 33. Let x = d - u. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*p**3 - 85*p**2 + 211230*p - 63360 = 0. Calculate p.\nAnswer: -66, 3\/10, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 73484327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 1 = 5*i. Suppose i*h - 1 = 19. Let m(u) = 3*u + h*u - 8*u. Let k(c) = c. What is k(m(l))?\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.123 - 0.172. Is l not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 + 26. Which is smaller: -5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*w - 16 = 0, -w - 2*w - 12 = -4*a. Let g(n) = -n**3 - n**2 + n + 4. Let f be g(a). Solve -f*b = 5*s - b - 14, 4*b + 8 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 6:11 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2 - 5*n - 17. Let b be d(4). Let s(k) = -3*k**2 + 33*k + 23. What is the remainder when s(b) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**3 - 7*c**2 - 6*c - 5. Suppose 0 = 3*j - 5*s + 12, 5*j + 2*s = 1 - 21. What is the tens digit of q(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -162 + 1 + (4 - -1). Let x = -155 - n. Which is smaller: 2\/139 or x?\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 3354 + 3358 = -4*o, -3*o - 3 = -4*w for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2207.8 rounded to the nearest 10?\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 2\/15 (c) 1421.533\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g. Let d = 7 - 9. Let k = 4 + d. Let w(s) = -2*s**2 + k*s**2 - 4*s**2 + 3*s**2. What is o(w(f))?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4807 or 4780?\nAnswer: 4807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) - (1 + (sqrt(612) + 1*sqrt(612))**2).\nAnswer: -2449 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -x**2 - 143*x**5 + 129*x**5 + 7*x**2 wrt x.\nAnswer: -840*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10801 - (3 - (-4)\/(-1)). Round k to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 11:10 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from lrgglgllrlryydd.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2687057?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002328 rounded to 5 decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.3 - 3.9. Let w = h + 5.200066. Round w to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bcc when three letters picked without replacement from {r: 7, c: 2, b: 11}.\nAnswer: 11\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -18. Let c(v) be the second derivative of v + 1\/6*v**3 + j + 0*v**2 + 1\/12*v**4. Factor c(y).\nAnswer: y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17394 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, y: 3, f: 2, h: 3, d: 3, i: 3}. Give prob of sequence dh.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 538 = 5*a. Let b = a + -141. List the prime factors of b\/10 - 72\/90.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 5. Suppose -4*s = m - 35. What is the remainder when 243\/12 + 1\/(-4) is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23205500 rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 (base 16) in base 9?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4121*d**2*h**2 - 1482*d**2*h - d*h**2 - 113*d - h**2 + 12*h - 65 wrt d?\nAnswer: 8242*h**2 - 2964*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 80, 199, 412, 761, 1288?\n\"Answer: 7*b**3 + 5*b**2 + 55*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 2 (b) -0.4 (c) -10 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12562?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 23*d**3 + 9*d**2 - 2*d. Let w(h) = -300*h**3 - 117*h**2 + 27*h. Let q(l) = -27*a(l) - 2*w(l). Find the third derivative of q(f) wrt f.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30082)\/(-2600)*5 - 78\/(-520).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 788506 less than -37565.0144?\nAnswer: -826071.0144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 = -0. Solve -i*m + 9 = f, 7*m - f - 6 = 4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -90975, -181917, -272859?\n\"Answer: -90942*b - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 259*r - 5122. Calculate the smallest common multiple of 1152 and p(22).\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 553475 (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 798 and 16074.\nAnswer: 112518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 248792 and 362746?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3955?\nAnswer: 5, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 151 + 87 - 238 - 68*n. Let o(d) = 7*d. Determine o(r(b)).\nAnswer: -476*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2\/17, 30, 0.6, 3, 3\/19 in increasing order.\nAnswer: -2\/17, 3\/19, 0.2, 0.6, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 585784 is divided by 2194?\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 123 = 5*d - 219, 4*d = -u - 75. Let t be 1\/(1\/(-87) + 0). Let o = u - t. Solve o*z + 5 = 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 513 + -79. Find the third derivative of -5*w**4 + v*w**3 - 21*w**2 - 434*w**3 - 13*w**4 wrt w.\nAnswer: -432*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 48*v - 50*v. Let l(j) = 5*j**2 - 27*j - 8. What are the prime factors of l(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -11*z**2 + 109. Let d(i) = i**2. Determine t(d(y)).\nAnswer: -22*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 122101 + 26288978?\nAnswer: 26411079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 6:34 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 47381195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56 * -3315.\nAnswer: 185640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -1 - 15*r + 4*r**2 + 7 - 5*r**2. Suppose -7*q + 2*q = 75. Let f be b(q). Solve -6 = -d + 2*k, 0 = -2*d - d + 3*k + f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppprpppzzzrrz. Give prob of sequence zpp.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -11634 != 42082?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16a - 10c7?\nAnswer: -e5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1799*q - 1812*q = -325 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -428981.1 to the nearest ten thousand.\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - b - 17 - 4, 3*d + 5*b - 10 = 0. Suppose -119 = -14*n + 31*n. Sort d, 0.5, n in descending order.\nAnswer: d, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20340 - -5) + 5 - (-4 - -2). Suppose 0 = 127*m - 139*m + i. Calculate the greatest common divisor of m and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23440)\/(-21975)*165\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/334672 and -131\/24?\nAnswer: 1004016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166, 2, 7, 3, -25 in decreasing order.\nAnswer: 166, 7, 3, 2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6*z - 5*j - 62 = 0, 4*j + 2 = -z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/65*-10*22\/330.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 110944 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 509.3 - 509. Let z = 1.94 - -0.06. What is the nearest to u in -4, z, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7274771, 7274772, 7274773?\n\"Answer: p + 7274770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.33? (a) 2\/3 (b) 1\/3 (c) -4\/4393075\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 66880, 67123, 67772, 69031, 71104, 74195, 78508, 84247?\n\"Answer: 34*k**3 - k**2 + 8*k + 66839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (1 - 1 - (2 - -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-1 - 3)) + 3 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**1*g)**(-43) assuming g is positive.\nAnswer: g**(-129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -399 in -1, -1\/5, 3, 6\/5, 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 859183347 a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**8\/840 - 2*o**7\/525 + o**5\/75 - o**4\/60 - o**2\/2 - 2. Let s(j) be the second derivative of z(j). Factor s(c).\nAnswer: 2*c*(c - 1)**3*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s - s + 6*s)*(-3 + 12 - 2)*(5*s - 4*s + 4*s) to the form d*s**2 + n*s + v and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249*a**2 + 9 + 5*a**3 - 6*a**3 + 5*a**3 - a.\nAnswer: 4*a**3 - 249*a**2 - a + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 7*h**2 + 1. Let r be (1\/(-3) - 0)*21. Let b be g(r). Let u be (39699988\/12 + b)*-12. What is u rounded to the nearest 1000000?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7692, 2, 2080 in decreasing order.\nAnswer: 2080, 2, -7692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3734017.\nAnswer: 7, 499, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 83284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence su when two letters picked without replacement from {v: 1, s: 5, u: 8, e: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*r - 4*n, -3*r = 8*n - 3*n + 8. Let b(d) = 0*d**2 + d + 7*d - r*d + d**2 + 17. List the prime factors of b(-5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84 times -13.36\nAnswer: 1122.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (-28 - -16 - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53\/2 or -580.483?\nAnswer: -580.483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-50)\/325 + 2\/13. Let i(r) be the third derivative of r**5\/60 + r**4\/12 + 5*r**3\/6 - 491*r**2. What is i(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3058 and 1144.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 7:11 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/13? (a) 3 (b) 2\/5 (c) -2\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 364681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x**2 - 9*x - 35. Let s(w) = -3*w. Give p(s(g)).\nAnswer: -45*g**2 + 27*g - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -19360, -78913, -178658, -318595?\n\"Answer: -20096*p**2 + 735*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -15\/41, 1\/18, 1\/2?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -124*(-29)\/(-1044)*9.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3303.\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 76160\/800*35\/2. What is the highest common divisor of 68 and a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1379, 1650, 1921, 2192?\n\"Answer: 271*h + 1108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -9*x + 11. Solve -2*u + 6 = u - x*t, -5*u - 17 = 4*t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(1\/2))\/a**(1\/7)*(a**6*a)\/a*a\/a**(-4\/7)*a*(a\/a**(-3))\/a*a**(-7)\/a*a*a*a**(-7)*a**(-2\/5)\/a assuming a is positive.\nAnswer: a**(-173\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y = 4*r - 10, 4*r - 603*y + 14 = -605*y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**4 + 0*b**4 + 0*b**4 + (b - 4*b + b)*(0 - 4 + 3)*(11*b**3 + b**3 + b**3).\nAnswer: 25*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -2*x**3 - 9518. Let q(j) = 1 + 3*j - 1. Give q(n(d)).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 13. Let h = -8 + 5. Sort h, r, -1 in increasing order.\nAnswer: h, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1521 and 1170.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -478301 + 239158 + 239153 = 10*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -30, 4 in increasing order.\nAnswer: -30, -8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -689 - -686. Let y = -0.06 - -1.26. What is the second smallest value in 3\/4, y, s?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -37112610, -37112603, -37112584, -37112547, -37112486, -37112395, -37112268, -37112099?\n\"Answer: k**3 - 37112611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 10*j = 58, 36 = -4*f - 12*j + 9*j for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 c when three letters picked without replacement from {c: 3, v: 12}?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6640387 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, q: 1, n: 1, y: 1, s: 1}. What is prob of picking 1 y and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -45. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 5*i - 25170025, 0*p + 4*i - 25169980 = 3*p. Round p to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/28 + 1 + 600\/7. Let q = 47 + s. What is the remainder when q is divided by 41?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 143 - 139. Suppose v*y + y = 2*k + 35, -3*k - 3*y - 63 = 0. Is -144\/7 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in -1, -0.4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2299) + (2*sqrt(2299)*1)**2.\nAnswer: 11*sqrt(19) + 9196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 153\/(-780) - 4\/10. Let w = 3\/4 + t. Which is the nearest to 0.1? (a) 3 (b) w (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37.7 + -134. Let o = s - -112. What is o rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-350)\/315 + 2016\/6156 + 4\/(-38)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/((-4)\/(-1320) + 3 + -3). What is t rounded to the nearest one hundred?\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w**3 + w**3 + 0*w**3)*(85*w - 207*w + 78*w) to g*w**2 + b + q*w**3 + j*w**4 + p*w and give j.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*j - 57 + 120. What is the closest to -0.6 in j, -0.05, 2\/5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/6 - 5*h**3\/3 + 14*h**2\/3 - 4*h.\nAnswer: h*(h - 6)*(h - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 461548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -13960 divided by 349\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 775.4826mg?\nAnswer: 0.7754826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 5*i - 9, 3*t + 4*i = -t + 20. Suppose 3*f + t = -1. What are the prime factors of (-8)\/(-2) - (0 + f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 5.27965821?\nAnswer: 1.27965821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2054*v - 72663 = 15659 for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*q - 15 = -3*x, 818*q - 1622*q - 8*x = -807*q - 40 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 2078.\nAnswer: -19\/2078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 7*w**2 - 56203*w - 112410. Calculate d(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*(sqrt(456)\/sqrt(32))\/(sqrt(24)\/sqrt(2)))**2.\nAnswer: 19\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of q**4\/6 - 32*q**3\/3 + 256*q**2 - 2*q - 15. Let l(f) = 0. What is f?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.45892*-0.01028\nAnswer: -0.0149976976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 15\/(-24)*48\/(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -10. Suppose 3*g + 4*p - 54 = 0, -5*g = -5*p + 3*p - 64. Calculate the remainder when g is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 22. Suppose 0 = 4*f + 5*u - 40, 3*f = -4*u + 18 + a. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 3. Put 5, p, -3 in increasing order.\nAnswer: -3, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 140 - 76. Suppose 0*q = 4*q - u. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 17.52. Let s = g + -0.08. Which is greater: s or 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*741\nAnswer: -37.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -809*0.2.\nAnswer: -161.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-64 + -239756)\/((-3)\/50). Round m to the nearest one hundred thousand.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in -9, -0.1, -10, 2\/31, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**2 - 26*k + 15. Let v be a(7). Solve -v = 4*l - 49 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 2*l = 2*z + 4, 5*l + z - 9 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19675, -28691, -37707?\nAnswer: -46723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -19*m**6\/120 - 13*m**4\/12 + 7*m**2. Find the second derivative of h(d) wrt d.\nAnswer: -114*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 143883 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 262 + -242. Solve 0 = -11*a - 9*a + s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138720649?\nAnswer: 61, 2274109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -21*q + 18*q + 3137, -3*y = 3*q - 2352. What is the highest common factor of 4239 and y?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*j + 7 - 15, -3*c - 8*j - 14 = 0. Sort 2, 6, c in descending order.\nAnswer: 6, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4) + (-323)\/494.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -15*1*(-12207)\/9. Suppose 3*x - 12210 = -0*x + 3*z, 5*x - 4*z = w. Let m = x - 48811\/12. Find the common denominator of m and -11\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 602385079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**0)**(1\/3) assuming m is positive.\nAnswer: m**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 521 and 0.5.\nAnswer: 260.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8140)\/(-222)*(-5 + (-69)\/(-15)) - (3 + -6).\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -5\/4, -1\/3, 7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -802*d**3*g**4 + 17*d**3 + d*g**4 + 66 wrt g?\nAnswer: -3208*d**3*g**3 + 4*d*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = a + 4, y + 0*y - 2 = -3*a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i - 761 + 5801 = -148*i - 178*i for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**3\/3 + r**2\/2 - 10. Determine d(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a - 7. Let g be n(5). Let q(v) = -11*v**2 - 14*v - 20. Let z(i) = 4*i**2 + 5*i + 7. Let c(h) = -6*q(h) - 17*z(h). What is c(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13024 (base 8) to base 12.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 25. Let f(o) = 39*o**h - 21*o**2 - 20*o**2. Let z(s) = 30*s**2. What is f(z(m))?\nAnswer: -1800*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 + 7)*(3 - 2 + 1)*(2*u + 0*u - u).\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t - 1. Let g be w(1). Suppose g*b = -20 + 32. Solve -n + 2 = -b*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - h + 14 = -22, 0 = 3*i - 10*h + 416 - 191 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(13) + -1 - 3*(sqrt(13) + 1))**2.\nAnswer: 16*sqrt(13) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*u**2 - 7*u**2 - 19*u**2 + 12*u**2 - 18*u**2 + 3 as w*u + j*u**2 + f and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 195 and 4420.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**2 + 66*w + 30. Let m be s(23). Let n be (2\/15)\/(-2 + m\/(-15)). What is the nearest to 1\/2 in 0.1, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 80 + -74. Solve -2 = -2*x - f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 3. Let g = 2 + -2. Let h = g - 0.4. Sort q, h, 0.5 in ascending order.\nAnswer: h, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1816 * 13405\nAnswer: -24343480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-20*8\/(-448))*(-5)\/(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4510)\/(-770))\/(30*(-2)\/14) and -39\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -215 take away -0.45126661?\nAnswer: -214.54873339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 3:50 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24.29 + 24. Let r = 0.01 - c. Let w be ((-6)\/20)\/((-1)\/(-7 - -12)). Is w equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 86199568*z - 342827872 wrt z.\nAnswer: 86199568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -1\/2*h**2 + 2 + h. What are the prime factors of t(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 times -0.36225?\nAnswer: -80.05725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -6*z - 3. Let l be w(-3). Let o = 273 - 153. Calculate the greatest common factor of l and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(504\/(-399))*12\/8\nAnswer: 57\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.97712 - 0.318\nAnswer: -1.29512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9352 and 24?\nAnswer: 28056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -659, -806, -1235, -2090, -3515, -5654, -8651, -12650?\n\"Answer: -24*s**3 + 3*s**2 + 12*s - 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156745167?\nAnswer: 3, 52248389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 7) + -1 + -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -1)\/2*0. Suppose q + g*q - 16 = 0. Suppose -4*r - 56 = -q. Is -9 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from ubudhbbhhbukuuhdbhh.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/220224 and 91\/9472.\nAnswer: 880896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-8)*10\/190?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 581741452 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 4*q. Suppose -5*o - 5*w + 5 = q, 2 = -2*o - 4*w - 0. What is the remainder when o is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1)*x*x**(2\/9)*x)**40 assuming x is positive.\nAnswer: x**(800\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 7*k - 2. Suppose 4*m - 5*r - 20 - 4 = 0, 0 = -3*r. Let h be m\/(-4 - (-1 - 2)). Let x(w) = -8*w + 2. Give h*t(y) - 5*x(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 242?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - -37. Suppose h - 3*z + v = 6476, -2*z = h - 6398. Suppose 3*d = d - h. Round d to the nearest 100.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 25 = f, -19*f = -5*x - 21*f + 25. Suppose 0 = 2*u + x*b - 112, -b - 168 = -3*u. Calculate the remainder when u is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*v**4 + 25919*v + 473648?\nAnswer: 32*v**3 + 25919","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 4*u - b + 55, 4*u - 76 = -4*b. Solve 2*q = -12 + u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27623.7 rounded to the nearest 100?\nAnswer: 27600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -95 + 312. Let l = -209 + g. What is the greatest common divisor of l and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2354544 - 0.95616?\nAnswer: -1.1916144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -543*h + 30950. Calculate t(57).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 1, -0.1, 8 in descending order.\nAnswer: 8, 1, -0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -13*w - 274. Let y be k(-22). Calculate the greatest common factor of 900 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -133.015 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 3*b**2 + b + 3. Let a = -32 + 32. Let g be u(a). Factor 0*d - 1\/3*d**2 + 0*d**g + 1\/3*d**4 + 0.\nAnswer: d**2*(d - 1)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/sqrt(7)*6 + (sqrt(17) - (-3 + sqrt(204)\/sqrt(12))).\nAnswer: 3 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-4) - 24\/32. Let g be (0 - 2\/2)*y. Suppose g*d + 3*d = 36. What is the highest common divisor of d and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8 - (-3 - -9))\/((-1)\/(-3)). Suppose 0 = -h*r + 41 - 5. Solve r*y = 2 - 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 8 = -19. Is j at most 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 448 divided by -27\nAnswer: -448\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 117*w**3 - 18 + 18 + 1 to q + a*w**2 + r*w**3 + d*w and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, p: 12, w: 1}. What is prob of picking 1 c and 2 p?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x**3 + 3*x**2 - 2. Let n be ((2\/(-6))\/1)\/(1\/6). Is v(n) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 94 and -3883101560.61.\nAnswer: -3883101466.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.092 + 0.888. Let k = n - -1.02. Which is the nearest to -0.1? (a) k (b) -2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -257, -514, -771, -1028?\nAnswer: -1285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1068\/11 + -26722\/275. What is the second biggest value in b, 3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31649, -31657, -31681, -31727, -31801, -31909, -32057, -32251?\nAnswer: -32497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 276532713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**2*n*u**3*v + 158042*d**2*n*v - 2*d*n*u**3*v - 359*d*n*u**2*v - 7*d*u + n*u**3*v wrt d.\nAnswer: -2*n*u**3*v + 316084*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(2*h - 8*h + 7 + 4*h).\nAnswer: -4*h + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 - -2)*(-2)\/4. Let j be (7\/(-3))\/(1\/(-3)). Suppose -5*z = 6*x - 3*x - 20, 4*x = -5*z + 20. Solve 0 = v*n + 3*o + j, 2 = -5*n + z*n - o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 7 = -8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1 - 0.1. Let d = -73.08 + 74. Let k = -0.92 + d. What is the smallest value in -4, -5, k, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5 = 4*n, 2*u - 35 = -8*n + 3*n. Which is the fourth smallest value? (a) 17 (b) u (c) -2\/11 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-2) - (3 + -1). Suppose 5 = j*t - 3. Let p(a) = 40*a - 3. Is p(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/((6\/4)\/(-3)). Let f = 60 - m. What is the highest common divisor of 220 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177771\/(7 + 5 + -9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1170\/780*(-3)\/((-9)\/464). What is the highest common divisor of f and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*2\/9*(-85899)\/7535?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 50*115\/23000*-20\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**5\/3 - 10*r**4\/3 + 4*r**3 + 4*r**2\/3 - 14*r\/3 + 2.\nAnswer: 2*(r - 3)*(r - 1)**3*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 11*f = 3*q - 8, 4*q - 3*f = 19 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.2259971 to 2 decimal places.\nAnswer: -3.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 69294 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22486, -22485, -22484, -22483, -22482, -22481?\n\"Answer: k - 22487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8 - (0 + (-12)\/(-3)). Suppose 2*l + 3*k - 112 = 0, 0 = 2*l - 0*k - k - 120. Suppose 46 = n*r - 2*r + 5*b, 3*r = -5*b + l. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*v - 858 = -280 + 1168. Solve -4*x + 3*t = 0, 5*x = v*x + 2*t for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55291 is divided by 4652.\nAnswer: 4119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49378.\nAnswer: 2, 7, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 0*w**2 - 1\/10*w**5 + 3\/4*w**4 - 23 - 3\/2*w**3 + 0*w. Factor t(l).\nAnswer: -l**2*(l - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1869 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4cc (base 13) in base 7?\nAnswer: 2314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 176 = 9. Suppose -10*i - 4*d - 85 = -11*i, -7*d = -4*i + 322. Let g = i - w. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, -5, -9, 69, -4 in descending order.\nAnswer: 69, -4, -5, -9, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1760 and 942496?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -14. Let v be 0*4\/(-16) + 2. Is 354\/10 + v\/q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15008 divided by 4\nAnswer: -3752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15060664?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 363489 to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15 - 13 - (1 - 10). Suppose 8*u + 81 = h*u. Let j = -25 + u. Solve -4*o + 12 = 3*q, j*o + 3*q = -3*o + 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 2*p**2 + p + 2. Let b(v) = -v**4 - 4*v**3 - 8*v**2 - 11*v - 6. Let x(f) = 2*b(f) + 6*j(f). Factor x(y).\nAnswer: -2*y*(y + 1)*(y + 2)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12021 + -1221323232?\nAnswer: -1222001313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 65 + -1 + -1. Suppose m + 2*m = p. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -17 + 4 + 13 - 5*h**2. Let u(r) = 3*r + 5. Let o(k) = -5*k - 8. Let g(w) = -5*o(w) - 8*u(w). Determine n(g(j)).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -8451*z - 1. Let u(i) = -2*i - 1. What is p(u(g))?\nAnswer: 16902*g + 8450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-39))\/((855\/(-390))\/19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6 = -3. Suppose c*o - 5*o + 4*s + 12 = 0, 0 = o - 3*s - 1. Calculate the highest common divisor of 16 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/65)\/c**(-41))**20 assuming c is positive.\nAnswer: c**(10652\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -8. Let a be 21\/p + (-5)\/25*-2. Let c(v) = 2*v - 11. Let d(n) = -n + 6. Let s(l) = 4*c(l) + 7*d(l). Let g(q) = 1. Determine a*s(y) - g(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82 + -53. Suppose -x = -5*y + 21. Is y less than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.401 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-441))\/((-22)\/(-33) - 0)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193460 is divided by 177?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 88202 (base 12) to base 16\nAnswer: 2bf22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2200111212202 (base 3) to base 9\nAnswer: -2614782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 8:09 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 4)*(-4 + 5) - -1366 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1\/f)**(1\/39)\/(f**(-1)*(f**(-3)\/f)\/f)*f**(2\/3)\/f*f\/f**2*f**(-5)*f*f**(1\/4) assuming f is positive.\nAnswer: f**(11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5*(-2 + sqrt(11) - sqrt(11)) + 2*sqrt(396) + -5 + (sqrt(11) - (sqrt(11) - sqrt(11)*2)) + 0 + (-1 + sqrt(11) - sqrt(11)) + -3))**2.\nAnswer: -2128*sqrt(11) + 10068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h + 0*h - h)*(-96*h + 5*h - 138*h) - h + h - 2*h**2 as w + n*h**2 + o*h and give n.\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*j = -s, j = s. Let k(y) be the third derivative of y**4\/8 + 3*y**3 - 271*y**2. Calculate the lowest common multiple of k(j) and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2. Let w(j) = -2*j + 5. Let p = 11 + -11. Let r(q) = -1 + p + 1 - 1. Let m(k) = -10*r(k) - 2*w(k). Calculate m(t(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (110\/(-22))\/(((-4)\/(-2))\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 1, 2\/13, 4, -2\/267?\nAnswer: -2\/267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1122400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 15. Let u(f) = -f + 7. Let k be u(m). Solve -v = -k*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*m - 60*m - 41*m + 139*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*g**2 + 482 - 141*g**2 - 480 + 2027*g**2 to the form b + m*g + o*g**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 b when four letters picked without replacement from blllllbllbbbb.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.3, 2, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*y - 31258, l = 894*y - 898*y + 62508. What is the greatest common factor of 125 and y?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 - 118 = -5*p. Suppose 4*d = 2*u - p*u + 224, 5*u - 224 = -4*d. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 13*n**2 + 13*n + 2. Let x be q(-14). Let p be 9\/15 - 8\/(-20). Suppose p = -2*s + 9. Solve 4*h = 5*m + 7, 7*h = -s*m + 3*h + x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 8 = 2. Let t = 3 - m. Which is bigger: 2\/19 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 8*j - 6. Let o be 1*-4*(-5)\/2. Let z be h(o). What is the tens digit of ((-4)\/(-5))\/(z\/315)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -43*d**2 + 1627*d + 226. Calculate t(38).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 659 (base 11) to base 12.\nAnswer: 55a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -9e?\nAnswer: 9f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 140.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 1\/16, 0.77, 6?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuubbbbbbuubbbbb. Give prob of sequence uuub.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 741 and 16947411.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-1 - -3 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4915 - -4940. Calculate the highest common factor of j and 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 12*u + 21. Let a(d) = d + 1. Calculate -18*a(b) + g(b).\nAnswer: -6*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75875405, -151750807, -227626209, -303501611?\nAnswer: -379377013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 3*v - p, -2*v = -7*v - 2*p + 201. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3261149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 550001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 14 - 2. Is (-2)\/(2024\/508 - s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3049, 3045, 3051, 3073, 3117, 3189, 3295, 3441?\nAnswer: 3633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -392, -692, -992, -1292?\nAnswer: -1592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*z - 0*z. Let x be z\/(-8)*13 - -3. Let t = -25\/22 + -4\/11. Which is the second smallest value? (a) x (b) t (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*(sqrt(468) + (sqrt(468) + 2 + sqrt(468) + sqrt(468) + -5)**2) + (sqrt(468) + -1 + -1 - ((1 + sqrt(468) - sqrt(468))**2 + -2)).\nAnswer: -606*sqrt(13) + 25322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 696016 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 + 1)*(l**2 + 0*l**2 + l**2) to the form m*l**2 + d*l + r and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3 + sqrt(684) + -1 + ((-1 + sqrt(931) - sqrt(931)) + sqrt(931) - (sqrt(19) + -1*sqrt(931)))**2)*-4.\nAnswer: -12832 + 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 54*k - 8. Let i be f(4). Suppose -4*j + 148 + i = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 177 + -12. Calculate the highest common divisor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x**4 + 0*x**4 + 3*x**4)*(133 + 84 - 503).\nAnswer: 858*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**4\/13 - 560*s**3\/13 + 2264*s**2\/13 - 2272*s\/13 = 0.\nAnswer: -284, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 11*c + 1. Let q(u) = -2*u**3 + 7*u**2 + 11*u - 18. Let h be q(4). Determine k(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 784?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -146*n - 990. Determine u(-7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 3*q**2 + 12. Let p be k(-4). Let d = 2.82 - 2.42. Put d, 3, p, -5 in descending order.\nAnswer: 3, d, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 7*v - 5*v + 19, -4*v - 20 = 4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 25*w**2 + 20*w - 153. Let p be d(-26). Solve p*u = -0*u - 5*r - 34, -r - 20 = 5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22304 (base 6) to base 11\nAnswer: -23a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2918597 is divided by 30.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**3 + 7277012*m**2 - 14554052*m - 21831060 = 0.\nAnswer: -1819255, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 655 - 392. Suppose -5*m = -h - 12. Does 11 divide ((-14)\/(-35))\/(1\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, a: 1}. Give prob of picking 3 e.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*p - 1 + (2 - 3 + 3)*(-3*p + 3*p + p) - 10*p + 10*p + 10*p.\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, -17, 2\/11, 2\/5, 28 in descending order.\nAnswer: 41, 28, 2\/5, 2\/11, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -5, -410\/9, 0.4?\nAnswer: -410\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - 4*(-4 - -2). Suppose -2*s + s + 91 = 2*u, -x*s = 3*u - 129. List the prime factors of u.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158094 to the power of 1\/2, to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*u - 123 = -o, 275 = 5*o + u. Let w = 2836 - 2836.1. What is the second smallest value in o, -0.4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 0, 4*o - 10*v = -126 + 118 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*r = -104*r + 483 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-16))\/(8\/(-224))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5050568539 and -0.4.\nAnswer: -5050568539.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11*((-4)\/6 + 175\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3026*s**2 - 1515*s + 2 wrt s.\nAnswer: 6052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 12) in base 15?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -4. Suppose -3*b + 12 = -5*y, 4*b - 2*y = n*b - 8. Suppose 5*o + 170 = 5*v, -b - 2 = -2*o. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 7) in base 2?\nAnswer: -111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6856 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.2 (c) 482 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 95*c - 153*c)*(-5*c**3 + 2*c**3 + 2*c**3) - 3*c**4 - 6*c**4 + c**4.\nAnswer: 50*c**4 + c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1555 - 13991\/9. Find the common denominator of d and -38\/1731.\nAnswer: 5193","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*-1 + 5*sqrt(2420))\/(-3*-2*sqrt(4) + 1*sqrt(4)*-1).\nAnswer: 49*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1856 - 1365 + 1997)*(2*k - k + 0*k) - 2*k - k + k to n*k + l and give n.\nAnswer: 2486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**6\/120 - u**5\/12 - 7*u**4\/24 - 5*u**3\/6 + 18*u**2 + 2. Calculate i(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssgssssssssssss. What is prob of sequence ssgs?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 302 + -372 + (-1 - -13)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/(-9)*1\/(-4). Which is smaller: 2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2054*o**3 - 61701*o + 61701*o.\nAnswer: -2054*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2958746, -5917494, -8876242, -11834990, -14793738?\nAnswer: -17752486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -10*z**3 + 2*z**2 - 2*z - 2. Let b be o(-3). Let f be 498 - ((-92)\/(-22) - 6\/33). Let h = f - b. List the prime factors of h.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**3 - 711*y**2 + 41769*y + 42483 = 0.\nAnswer: -1, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -101021?\nAnswer: 101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.17 + 6.83. Let h = i + -7. Let k = -9 - -5. Which is the biggest value? (a) h (b) 4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(72) + sqrt(72) + sqrt(72) + 2) - (-3*(2*sqrt(2) - sqrt(2)) + -1 + sqrt(32)))*1.\nAnswer: 7 + 53*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 303490 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 140*o**2 - 427*o - 343. Determine c(143).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*1 - (-7 - -55)\/(-8). Find l, given that h*l**2 + 9*l**3 + 31*l**4 - 4*l**2 - 28*l**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5362 + 9545. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*u + 133*u - 65*u - 148068*u**3 + 148094*u**3.\nAnswer: 26*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 17*u**2 - 5*u - 28. Let j(h) = 13*h**2 - 3*h - 26. Let b(m) = 3*d(m) - 4*j(m). Determine b(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + -1 - sqrt(245)) + 0 + (sqrt(45)\/(sqrt(18)\/sqrt(2)) - (sqrt(5) + sqrt(20) + 0)).\nAnswer: -2*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1898 + 1902. Solve -g*u + 17 = 3*c - 0*c, -u - 1 = -c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 - 7*z + 10. Let y be b(6). Let a = y - 35. Suppose r + 3*k - 17 = 22, -3*k - 96 = -2*r. What is the highest common factor of a and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 17, 19?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13582*d**3*l**5 + 435*d**3*l - 3*l wrt l?\nAnswer: 271640*d**3*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + aa720?\nAnswer: aa722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -9*x - 11. Let f be b(-4). Suppose -9 = -f*v + 22*v. Solve -u = v*l - 0*u - 8, -l = 3*u + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24640, 98600, 221852, 394384, 616184, 887240, 1207540?\n\"Answer: -2*o**3 + 24658*o**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.584 or -187?\nAnswer: -187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 256*y**2 - 369*y + 779. What is g(2)?\nAnswer: 1065","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 982 is divided by 85?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/7 in 0, 2\/9, 19208, 4\/3, -1\/6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o + 3*o = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60486 by -1069.\nAnswer: 60486\/1069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15\/7 - -52\/21. Let l = -0.368 + 0.068. What is the third smallest value in h, l, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 12. Let u be r(-18). Suppose -24*x - 18 = -u*x. Solve -w - 27 = x*v + 2*v, 0 = 3*w + 5*v + 31 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**3 + 109*f**2 + 82*f + 5792. Determine j(-37).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 172260 and 308?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h - 1 + h - 2*h + h**2. Let o be a(2). Find the third derivative of 5*t**3 + t**2 + 3*t**2 - 3*t**4 - 5*t**o wrt t.\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -31 (b) 2 (c) -0.07 (d) 0.1 (e) 0.244 (f) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -31, -86, -163, -262, -383?\nAnswer: -526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 20 - 54 - 3*a)*(49 - 68 - 37)*(-1 + 2 - 3).\nAnswer: -336*a - 1232","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -127 (base 15) to base 9\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 7, -5, 2 in ascending order.\nAnswer: -5, 2, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/6)\/((-1)\/(-15)). Suppose -6*z + 766 = -z - 4*f, s*f + 303 = 2*z. Let r = 24 - 10. What is the highest common divisor of r and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -8106717.\nAnswer: 11\/8106717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08225345 to four dps.\nAnswer: 0.0823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4141 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*1\/4*-8. Let x be ((-2)\/(-1))\/(-2) + 4. Let v(n) = -1 + n - x*n + l*n. What is v(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84*r**2 - 13 - 73*r**3 + 81*r**3 + 37*r**3 + 84*r**2 - r to c + w*r + g*r**3 + k*r**2 and give g.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -5 - 12 - -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**5\/15 + o**4\/6 + o**3\/6 - 2904*o**2. Give f(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 1245*b - 382944. Calculate q(-555).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -58, -1, 1 in ascending order.\nAnswer: -58, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16\/8575 or 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - (14\/(-4) + 5))*(-32 + -12) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/20*-20*(-11)\/88. Let h(a) be the first derivative of 6 + 0*a - 2\/3*a**3 + 0*a**2 - s*a**4. What is the third derivative of h(z) wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 7*l - 6*l + 553 = 0, 5*o - 5*l - 565 = 0. Let r = 245 - o. Is r a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -13. Suppose g*y - 18 = -y. Solve 1 = -2*j + y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/238 - 437\/3094. Let g = -12.6 + 13. Which is the second biggest value? (a) u (b) g (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2. Let i(k) = -5*k**2 + 4. Let p(b) = 9*b**2 - 9. Let w(t) = -9*i(t) - 4*p(t). Give c(w(r)).\nAnswer: 81*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z - 2. Suppose 3*i + 5*y - 8 = 12, -4*y = 2*i - 14. Let k be x(i). Does 18 divide (0 - -3)*(k - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - q - 2. Let x = -26 - -24. Which is bigger: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/9500 and -7\/11?\nAnswer: 104500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 41*j**2 + 45*j + 127. Let u be (-496)\/(-11160) - (-1892)\/(-45). Determine y(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54525407*h**2*q + 40393375*h*q - 2*q wrt h?\nAnswer: -109050814*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 9093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 - 59*n - 38. Let m be j(-29). Which is the nearest to 0.1? (a) -0.3 (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 138538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.300157 < 556?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2392608541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1106870)\/(-136))\/(-85) + (-18)\/(-24)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133.7 - -184.713643?\nAnswer: 51.013643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (11 - (-2 - -4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14784 (base 9) to base 14\nAnswer: -398c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - ((sqrt(68)*2 - sqrt(68)) + sqrt(68))*5)\/(-4*(sqrt(16) + sqrt(4))).\nAnswer: 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 9. Let j be f(-12). Let h be j - 3\/(39\/41). Put h, 0.4, -5 in decreasing order.\nAnswer: 0.4, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4928\/14190 - 56\/168)\/((-1)\/5)?\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-5)*p*p*p*p)\/p)**(-26\/5) assuming p is positive.\nAnswer: p**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 476 and 612?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -841*s + 842*s + 8 = -p, 5*p = s - 22 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 243.65 and 0.3.\nAnswer: 73.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 57569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 527325.4 millilitres in litres?\nAnswer: 527.3254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 535, 928, 1331, 1750, 2191?\nAnswer: 2660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 12:29 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -224? (a) 1\/8 (b) 6\/11 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 a when three letters picked without replacement from {a: 3, x: 5}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6797 = 562*v + 53 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 45, 0.11, 1, -3, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-9))\/(12839\/1041)\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 278228\/(-66)*(-2)\/24. Let h be ((-388)\/(-6))\/(66\/351). Let o = w - h. Find the common denominator of o and 113\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*v + 10. Suppose -4*g = s - 15, -v*s + 2*g = -58 + 8. What is the greatest common divisor of 46 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**3 - 162*x**2 - 183*x + 990 = 0.\nAnswer: -3, 2, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128792 and 1337164.\nAnswer: 3788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 4) in base 15?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4308288?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/3)*t)\/t*t**5*(t\/((t\/(t**(-1\/3)\/t))\/t))\/t**(-1)*t**(-3\/5)\/(t*t**(2\/13)*t)*(t*t**(1\/3))**22 assuming t is positive.\nAnswer: t**(6353\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9378865, -9378801, -9378737, -9378673, -9378609?\n\"Answer: 64*u - 9378929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -2\/7, -3.6 in descending order.\nAnswer: 9, -2\/7, -3.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 18*b - 48. Let a(v) = 3*v**2 + 2609*v. Determine a(w(i)).\nAnswer: 972*i**2 + 41778*i - 118320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*h + 1 + 4)*(4*h + 2*h - 3*h)*(324 + 118 + 75).\nAnswer: -4653*h**2 + 3102*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.348956 millimeters to kilometers.\nAnswer: 0.000003348956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1090 + -5?\nAnswer: -1095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50.9 + 53. Let i = -2 + v. Which is the closest to 3\/2? (a) -3\/2 (b) 2\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + (2 + sqrt(28)\/sqrt(4) + -4)**2 - (2*((sqrt(7) + sqrt(14)\/sqrt(2) - sqrt(7)) + -3)*4)**2) + -4.\nAnswer: -1014 + 380*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3565 by -9.\nAnswer: 3565\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 2\/(-4))*-20. Let x be (5\/(-1 + 2))\/(90\/270). What is the highest common divisor of g and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5 (b) -35 (c) 0.08 (d) 0.3 (e) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 942080 divided by -94208.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 j when three letters picked without replacement from {c: 5, j: 9, y: 2}.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 2799976?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/787062 and -139\/100476.\nAnswer: 4722372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 3*x**2 - x - 3. Let v be k(4). Let o(p) be the first derivative of -p**3\/3 + 13*p**2\/2 - 10*p + 2. Is 14 a factor of o(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4ced9 (base 16) in base 14?\nAnswer: 82b8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137138?\nAnswer: 2, 191, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -616*j**2 - 40*j + 68*j - 16*j + 239*j**3 - 10*j wrt j.\nAnswer: 1434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 8*i - i**2 + 1 - 6 - 2. Let a = -4 + 0. Let n = 9 + a. What is z(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 315 and 280.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (-455)\/20)\/(1062\/944)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138046 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.0459 years to centuries.\nAnswer: 0.080459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.11 and 901136.\nAnswer: 901137.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, b: 1, a: 1, g: 2, e: 5}. What is prob of sequence eb?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1\/5 (b) -8 (c) 1 (d) 21\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1118, -1096, -1064, -1028, -994, -968, -956, -964?\n\"Answer: -x**3 + 11*x**2 - 4*x - 1124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -2. Let u = s + 5. Calculate the remainder when 41 is divided by 27\/2 + (-2)\/u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 87.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r + r + 3 - 3*r + (2*r - 2*r - 2*r)*(61 + 75 - 180) to y*r + c and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -40, 30, 170, 404, 756, 1250, 1910?\nAnswer: 2760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*o = -66, 0*c - o - 75 = -4*c. Suppose x - f - 3 = 0, -x = x + 4*f - c. Solve -2*w = -3*w + x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 6*c**2 - 2*c**2 + (3*c - 4*c + 4*c)*(c - 4*c + c))*(-27 + 9 + 3)*(1 - 2 + 4).\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34941345?\nAnswer: 3, 5, 701, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8294286 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 52, -307, -898, -1715, -2752, -4003, -5462, -7123?\n\"Answer: d**3 - 122*d**2 + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5252 and -2478.4?\nAnswer: 13016556.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -41899459*h**3 + 273858520 wrt h?\nAnswer: -125698377*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/9 - (-8)\/(-6). Suppose 5*y - 74 = -5*g + 6, 2*g - y - 26 = m. Calculate the least common multiple of g and 26.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2465 - 2461. Sort -0.03, 5, y, 120 in ascending order.\nAnswer: -0.03, y, 5, 120","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 - 4*j - 74. What is b(-9)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2564600 to the nearest integer?\nAnswer: 1601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 144 + 76 = 0. Suppose 2*k = 0, 0 = -4*o - 2*k + 108 + 72. Let y = o + a. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -1603634?\nAnswer: 1603630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 smaller than -14384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 872, 1743, 2614, 3485, 4356?\n\"Answer: 871*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooyoooyooyo. What is prob of picking 1 y and 2 o?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5622, -22480, -50574, -89904, -140470, -202272, -275310?\nAnswer: -359584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5592*n**4 - 206*n**3 - 17909550*n**2?\nAnswer: 134208*n - 1236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*d - 2699 + 761 + 645 + 651 + 90*d + 642.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -s**3\/3 + 7*s**2\/2 - s - 2. Let m = -3 + 10. Let n be c(m). Is -1 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-2)\/(-16)*(-35 + 33). What is the nearest to 5\/2 in -0.2, i, 0.6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 939, -2 in decreasing order.\nAnswer: 939, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -42, -76, -132, -216, -334?\nAnswer: -492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 286765, 1147227, 2581339, 4589107, 7170537, 10325635?\nAnswer: 14054407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s**2. Let c(a) = 6273*a**2. Calculate c(n(w)).\nAnswer: 100368*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 104.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -131. Suppose -2*v + 337 = 4*m + 1, 0 = -m + 4*v + 111. What is the highest common divisor of k and m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**3\/9 - 190*s**2\/3 - 2588*s + 48880\/9 = 0.\nAnswer: -235, -52, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of q**4\/12 - q**3\/6 + 35*q**2\/2 - 5*q + 56. Give l(0).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 179841, 359708, 539575, 719442?\n\"Answer: 179867*x - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 498 and 162.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -16. What is the third derivative of -3*c**3 - 5*c**2 + c**3 + c**z + 0*c**3 wrt c?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - t = -5*t - 78, -5*b = -t - 150. What is the remainder when b is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 873 is divided by 291.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -b?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3533.529 times -2.4?\nAnswer: 8480.4696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -41159526 divided by -29\nAnswer: 1419294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 240 + -228. Calculate the highest common factor of s and 150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 1. Let b = 4 - 4.4. Sort 3\/10, w, b in ascending order.\nAnswer: b, 3\/10, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -1 - -2) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3174 + 3060. Which is greater: -116 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 134887928 and 1904?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -38170401 - -4?\nAnswer: -38170397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 146 and 1241?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 - -52. Let p be 12\/(-30) - v\/15. Suppose 2*d - 3*s - 24 = -5*s, 2*d - 24 = s. Solve -4*l - d = t, p*l + 14 = -5*l - t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 not equal to 26.0644?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.049 less than -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80550 and 5030.\nAnswer: 40516650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 4 = 5*l. List the prime factors of 119\/l - (-4)\/(-8).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/10)\/((-4)\/10). Suppose -z - d*z = -18. Suppose u = z*u - 25. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -37806, -37879, -37952, -38025?\n\"Answer: -73*p - 37733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.5 + -2.1. Let g = -4 - x. What is the closest to -0.1 in 3, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-81)*4\/(40\/15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 109 = -106. Which is the nearest to 2\/3? (a) -2\/15 (b) 0 (c) -5 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -25193, -50398, -75611, -100838, -126085, -151358, -176663?\n\"Answer: -u**3 + 2*u**2 - 25204*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8297.604 decades to centuries.\nAnswer: 829.7604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*o = -15, o - 75 = -6*w + w. Suppose -16*b = -23*b + 21. Solve -b*i = -0 - w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 4455968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 139*k**2 + 2*k + 104. Is d(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 46*l**2 + 14*l + 67. Is u(-26) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 + m + 6. Let p(y) = -4*y**2 - 2*y - 13. Determine 9*a(b) + 4*p(b).\nAnswer: 2*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11050 is divided by 143.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = x + 4*r, 5*x = -3*r + 57 + 33. What is the remainder when 521 is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -2011*g**6\/120 + 637*g**5\/60 - g**4\/12 - 1157*g**2 - 2. Find the third derivative of u(j) wrt j.\nAnswer: -12066","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 851835974602061037 + -851835967398601624.00000081. Let l = -7203459298 + v. Let i = l + -115. Round i to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67663854.\nAnswer: 2, 3, 43, 87421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a. Let n(o) = -o + 7. Give -n(d) - 3*w(d).\nAnswer: -5*d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6535067 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: What is the value of 4 + (-336)\/105 - (-1156)\/(-20)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/((-9)\/(-60)) - 1?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 12:00 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/12*30\/8. Suppose -2*u + 4*u - g*z - 647 = 0, 0 = -4*u + 2*z + 1270. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, 0.1, -0.5, 23, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (21 - (-6 + 2 + (9 - 6)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*-2*sqrt(75) + (sqrt(75)*2 + -3 - sqrt(75)) - 5*(sqrt(75) + 2)*3))**2.\nAnswer: 52800*sqrt(3) + 137424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 710543?\nAnswer: 19, 37397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 141\/262 - -4555\/786. Let 0 - 5\/3*c - n*c**3 - c**4 - 7*c**2 = 0. Calculate c.\nAnswer: -5, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3536 times 0.4?\nAnswer: 1414.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 20 (b) -5 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4 + 44*d**3 - 36*d**2 - 44*d + 40.\nAnswer: -4*(d - 10)*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19715 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, k: 2, c: 3}. What is prob of sequence cuk?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 c, and 2 g when four letters picked without replacement from bgzbcg.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/19, -0.13, 1\/2, -3\/104, 0.1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f6 + -4?\nAnswer: f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18691450 and 44735?\nAnswer: 1945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (27 - -1)*(-10)\/(-4). Let c(p) = p + 17. Let q be c(-7). What is the highest common factor of o and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3376, -3508, -3638, -3772, -3916, -4076?\n\"Answer: -k**3 + 7*k**2 - 146*k - 3236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s + 125. Let p be f(-21). Let o(q) be the third derivative of 11\/24*q**4 + 3*q**2 + 0*q + 0 - 1\/6*q**3. What is o(p)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(2\/7)))\/w**6)\/((w\/(w*w**0))\/(w**(2\/17)\/w)) assuming w is positive.\nAnswer: w**(-785\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**7\/(j\/(((j**5*j)\/j)\/j)))\/((j*j\/(j**(3\/4)*j*j))\/(j**3*j)))**(2\/73) assuming j is positive.\nAnswer: j**(59\/146)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-3)*(-660)\/(-8) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.9073017516 and -4127.\nAnswer: -4121.0926982484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1576 - -1570. Let b = -85 + 125. Let c be b\/50 + 33\/(-10). Put c, i, 0.3 in decreasing order.\nAnswer: 0.3, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*d - 10. Let f(m) = 7*m**2 - 3*m + 2. Calculate the least common multiple of f(1) and 2 + d*2 - 2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3}. Give prob of picking 2 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 9*a + 1. Let c be z(-7). Let g = c + 18. Solve g*j = -2*q - 35, 5*q - 3*j + 40 = -6*j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*f = -576. Let k = 141 - f. Find the first derivative of 6*b + 56 - k + b wrt b.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-136))\/(((-9524)\/33334)\/(8\/14)).\nAnswer: -5\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djqq. Give prob of sequence jqd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, t: 2, q: 2, c: 1, d: 8, w: 1}. What is prob of picking 1 q, 1 v, 1 c, and 1 w?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 7*s**2 + 9*s + 11. Let i be j(-9). Suppose -96*r + i*r = -620. Is 18 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 3*i**2 + 3*i - 3. Let d be j(2). Let t(z) = -8*z**3 - z. Let b be t(d). Let v(g) = 2*g - 9. What are the prime factors of v(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, a: 7, e: 5, q: 1}. What is prob of sequence qbae?\nAnswer: 5\/3432","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78.2 - 98. Let s = j - -19.801272. What is s rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20094 divided by 2\nAnswer: -10047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 6*q**3 + 5*q**2 + 100*q + 15. Let t(k) = -3*k**3 - 3*k**2 - 50*k - 9. Calculate -3*p(r) - 5*t(r).\nAnswer: -3*r**3 - 50*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5 = -2, 4*v + 2*x = 14. Solve -2*y - 8 - v = -5*i, -y - 2*i + 12 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 679159952.\nAnswer: 2, 461, 92077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*n - 75 = -27*n + 165. Which is the fourth biggest value? (a) -0.2 (b) 25 (c) -18 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-18))\/(-1*(-13)\/(-117)). Suppose -3*r = 5*i - 0*i - 245, 55 = r - 5*i. What is the highest common factor of v and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285827771 is divided by 267.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 10:16 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -14. Let m(w) = -13*w - 4. Let n be m(o). Suppose 0 = -2*v + 4, -25 = -3*l - 2*v - 3*v. Solve 2*y + 3*y = 3*x + 25, l*x - 5*y + n = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -663 + 0*z + 666 + 3*z. Let o(d) = -d - 2. Let b be o(-4). Let u(x) = 4 + b - 5. Calculate -3*u(w) + y(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 250\/9. Which is the closest to 8.6? (a) l (b) 1 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8229\/5 + -24682\/15. What is the second smallest value in -1.2, -0.014, k, 2\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**16*k)\/k**(4\/15))**(11\/7) assuming k is positive.\nAnswer: k**(418\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 0.233.\nAnswer: -0.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -1. Let y(x) = 10*x + 50. Let t(g) = -50*s(g) - y(g). Let w(a) = -2*a - 35. Let i(m) = -m - 20. Let o(z) = 7*i(z) - 4*w(z). What is o(t(k))?\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10275 + 10274. What is the closest to g in 2\/3, 0, 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 1988204440.\nAnswer: 1988204439.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/5, 2.269.\nAnswer: -5, -2\/5, 2.269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*t - 478, -3*u = -t - 7*u + 100. Find the second derivative of -t - 29*v - 53*v**2 + 44 + 52 wrt v.\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -71, -88, -107?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -8*n**3 + 109*n**2 + 59*n - 253. Calculate p(14).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15*((-92)\/12 + 8). Solve -4*r - 17 = -5*h, q*r = h - 0*r + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 38, 156, 350, 620, 966, 1388, 1886?\n\"Answer: 38*z**2 + 4*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3504*z + 13757 = -40 + 2476 - 6199 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.192 * -5489108\nAnswer: 1053908.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/144*6)\/(14\/(-196)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/11 and (39\/5)\/((-69)\/15).\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 - 43. Suppose 4*q = -v*h - 388, -q - 21 - 177 = 2*h. Let d = h + 145. Calculate the remainder when d is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 504*b + 7521 + 6195 + 2160 + 4*b**2 = 0. What is b?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -504.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75 + 79. What is the smallest value in z, -2, -15\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-2)\/(-4)*(-9 - 963\/(-45)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p = 9*p + 4*d - 32, 5*p = d + 25 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -152 - -67. Suppose 5 = -5*p - 5*q, q + 18 - 5 = -5*p. Is 2 a factor of b\/(-15) + (-1)\/p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(171) - sqrt(171) - sqrt(171))\/sqrt(9) + sqrt(171)\/(sqrt(54)\/(sqrt(216) + sqrt(6))).\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4380 - -5556. Calculate the least common multiple of x and 441.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -55*s - 1049. Determine d(-22).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(130)\/((-2*sqrt(40)\/sqrt(4) - sqrt(10) - sqrt(10)) + sqrt(10) - sqrt(10)) - ((sqrt(13) - -6*(0 + sqrt(13)))**2 - (sqrt(1053)*-2)**2)*-6.\nAnswer: -21450 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 4*y**2 - 3*y + 5. Let a = 245 + -240. What is g(a)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 4979097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 5*f**2 - 7. Let c be t(-5). Let r(w) = -w**2 - 7*w - 1. Let x be r(c). What is the units digit of -7*-2*x\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 13*c**2 + 11*c - 10. Let v be l(-12). Suppose 2*p = -v*p + 16, -4*k + 628 = 5*p. Suppose -k + 717 = 5*w. List the prime factors of w.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 66*b**2 + 505*b - 227. Let s be i(-73). Which is bigger: s or 207?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (91\/(-52))\/((21\/(-9))\/((-3)\/(-3)))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 35, 1179, 4.\nAnswer: 0, 4, 35, 1179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54253, 108515, 162809, 217153, 271565, 326063, 380665?\nAnswer: 435389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187148 divided by -1555.\nAnswer: -187148\/1555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 61, 66, 71?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 6:06 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*h**2 + 3*h**4 + h**2 - 6*h**2 wrt h?\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6292 > -6292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 632?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26782 and 38.\nAnswer: 508858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w + 6*w + 318 - 372)*(-3 - 1 + 2) to u + l*w and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 divided by 201?\nAnswer: -49\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6321 - 4?\nAnswer: 6315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 101752.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j - 3. Let o be n(3). Let y be (-4)\/14 + 6\/21. Let f be -2*(-2 + y\/1). Sort 3, o, f in ascending order.\nAnswer: o, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.16 + 0.16. Is 1 <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 139\/76 - 30\/19. What is the closest to o in -2\/3, 3\/4, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189, -418, -647?\nAnswer: -876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*p + 38 - 38 as h + s*p and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22281.\nAnswer: 3, 7, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176)*1 - sqrt(396)*-2 - (3 + 1 + sqrt(1584) - (3 + (1 + sqrt(1584) - sqrt(1584)))).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 69 - 15*c**3 + 1102*c - 3316*c + 1103*c + 1112*c in the form k*c**3 + i*c + j*c**2 + z and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -1563174?\nAnswer: 1563171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 5\/3*j**4 - 76\/3*j + 38\/3*j**2 + 7\/3*j**3 = 0.\nAnswer: -3, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 6*d + 27. What is a(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 2*s**2 + s. Let q(x) = 6*x**3 + 4*x**2 - 20*x. Let f(v) = 2*v**3 + v**2 - 7*v. Let t(b) = -11*f(b) + 4*q(b). Determine 8*r(u) + 3*t(u).\nAnswer: -2*u**3 - u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445990492.\nAnswer: 2, 111497623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2982724.5 rounded to the nearest one hundred thousand?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31\/81 + -4\/81. Sort -0.1, 14, 5, x in ascending order.\nAnswer: -0.1, x, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 125 - 112. Solve 12*v + 11 = -n for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 7\/3*m**3 + 0*m**4 + 6\/5*m**5 + 5 + 0*m + 0*m**2. What is the third derivative of o(r) wrt r?\nAnswer: 144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-174)\/(-493) - (8 - 1950\/(-34)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11 + -21?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 11 = -g, x - 4 + 1 = 0. Solve -5 = p - g*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 67 = -4*h + x, -3*h = x + 51. What is the remainder when 33 is divided by (1 + (-21)\/12)*h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, z: 1, b: 5, q: 1, o: 6}. Give prob of sequence zq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1.66+-29446\nAnswer: -29447.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuiiivuquiqiiiili. Give prob of sequence lu.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 26849818 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.0877766962 + 3\nAnswer: 3.0877766962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2971?\nAnswer: 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18312647?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -23*z**2 - 12*z + 4. Let p(w) = 140*w**2 + 78*w - 26. Let v(n) = 39*m(n) + 6*p(n). Let l(x) = -32*x**2. Determine l(v(r)).\nAnswer: -103968*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/130 + (-83236538)\/(-286) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*o**4 + 0*o**4 - 7*o**2 + o**4 - 8*o**2 wrt o?\nAnswer: 168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 9*u - 42. Let z be r(5). Suppose -10*c + 11*c - 28000000 = 2*f, 5*c + z*f = 140000000. What is c rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.06, -0.1, -90, -2445, 9?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 2*p + 9. Let a be m(4). Let q(g) = -2*g - a + 3*g + 2*g + g. What is the remainder when 27 is divided by q(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46997 + 47234.73. Let z = 224.2 - h. Round z to 0 decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2260.\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 37. Calculate the least common multiple of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2309522 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-12) + 15\/(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-19)\/c)\/c*c\/c**10)\/(c*((c\/((((c\/(c\/(c**(1\/2)*c)))\/c)\/c)\/c))\/c)\/c*c)**33 assuming c is positive.\nAnswer: c**(-225\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 116872 to the power of 1\/2, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 15, -35 in ascending order.\nAnswer: -35, 2\/3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*a - 1151 = 0, -3*d + 3290 + 189 = 4*a. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 + 227. Let g = 163 + n. Suppose 0 = -4*l + 13 + 3, -3*q - 4*l + g = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 167118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -107*b + 106*b. Let a(g) be the first derivative of g**3\/3 - g**2\/2 + g + 1. Let n(r) = -2*r**2 + r - 2. Calculate b*a(c) - 2*n(c).\nAnswer: c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0276 + 3.0276. Which is the closest to -4? (a) 4 (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 132 + -127. Suppose -k + 8 = 4*h, 2*k - 2*h - i - 21 = 0. Calculate the remainder when 23 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(9\/(-84)*-2). Suppose 5*o - 16 = f. Suppose 0 = k - o*k + 95. What are the prime factors of k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13592 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -151*i + 7. Let c(b) = -b - 2. What is -4*c(u) - r(u)?\nAnswer: 155*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98 - -172. Calculate the remainder when r is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i - 32. Let l(r) = 2*r - 11. Suppose 4*o - 13 = n - 4, -2*n = 3*o - 15. Let v(s) = n*m(s) - 8*l(s). Calculate v(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 j when two letters picked without replacement from {h: 1, t: 11, j: 6}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/3, -4, -0.5, -17\/54 in descending order.\nAnswer: 7\/3, -17\/54, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2*y + 527, 0*y - 2053 = -4*z + 3*y. Let x = -998 + z. Let f = x - -698. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 2, j: 1, b: 1, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -123*k + 18. Let g(t) = -108*t + 24*t + 35*t + 48*t. What is g(p(n))?\nAnswer: 123*n - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16870831 to three decimal places.\nAnswer: -0.169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5862717.971 rounded to the nearest one thousand?\nAnswer: 5863000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - 1 - (-4 - -2). Let d(i) = -i + 11*i**p + 5*i + 526*i**3 - 6*i. Let u be d(8). Round u to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110095 at most as big as 111102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -15. Solve -3*f = -n - 9, o - f + 1 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -6. Let w = -1 + d. What is the common denominator of 2\/w - (-682)\/30 and -91\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 4*a**2 - 5*a + 1. Let r be l(-5). Let h = 0.44 + -0.04. What is the closest to r in 4, h, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -10168055851597?\nAnswer: -10168055851599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1312, -40, 1, -4 in ascending order.\nAnswer: -1312, -40, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bjxv when four letters picked without replacement from {a: 1, b: 2, v: 3, p: 1, x: 1, j: 3}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -468*x**3 + 19*x**2 - 2*x?\nAnswer: -2808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -326468, -2611793, -8814804, -20894345, -40809260, -70518393, -111980588, -167154689?\nAnswer: -237999540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (0 - (-11 - -12)) - -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, a: 1, n: 1}. Give prob of sequence an.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 100*y**2 + 7*y + 1. Let a(d) = -158*d**2 - 15*d - 2. Determine 3*a(b) + 5*i(b).\nAnswer: 26*b**2 - 10*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26310 + 28381. Is z at most 2073?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 10 = 4*g, 0*u + g - 7 = -4*u. Suppose -t - u = -5. Suppose -5*i + d = -31, 4*i - t*d = -5*d + 36. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -11*h - 25. Let f be -2*4*3\/8. Let t be g(f). Solve 3 = -j + 2, -2*l + t = -2*j for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*6\/(-8)*-2. Suppose -5*t = -t + 24. Let l be t\/q + (-10)\/(-3). Solve 2*v + 3*i + 2*i = -2, 4 = -l*v + 4*i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/(-1) + 68476\/(-1105) + 91.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4330*s**5 - 23*s**4 - s**3 + 6*s**2 + 60*s - 938 wrt s?\nAnswer: 259800*s**2 - 552*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**4\/12 - 4*v**2. Let d(i) = -2*i**2. Determine r(d(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5 = a, -2*a + 1 = s - 7. Let t = -2 + s. Find the third derivative of 4*l**2 + 0*l**3 - t*l**3 - 4*l**3 - 3*l**2 wrt l.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.32, 0.5, 4\/33 in descending order.\nAnswer: 0.5, 4\/33, -3.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17193 + 17193 + 2*n**2 - 68875 + 17307 + 17182.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p + 4 + 19 - 59*p + 4 - 1. Let b be w(-4). Is 289 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/432 and ((-10)\/(-1680)*-7)\/(147\/93).\nAnswer: 21168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 + 10245*m\/2 - 7695.\nAnswer: 5*(m + 1026)*(2*m - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271110010.\nAnswer: 2, 5, 27111001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/(-2))\/((-12)\/(-6)). Let l be 1 + w - -12 - -1. Calculate the greatest common divisor of l and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -s + 8. Is -3\/13 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(110) + 3*sqrt(110) + sqrt(110)) + sqrt(110))\/((1*sqrt(90) - sqrt(90)) + sqrt(90) + sqrt(10)).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 2*h - 812. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 9:17 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -10277, -4\/19 in ascending order.\nAnswer: -10277, -0.4, -4\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 107509\nAnswer: 107509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -6. Let h(s) = -181*s + 81817. Let j be h(452). Put j, n, 1 in decreasing order.\nAnswer: j, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258785 is divided by 36961.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 7) in base 11?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 63108523723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18117934 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p = 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 1) + (-96)\/(-3). Let f = v + -30. Calculate the smallest common multiple of 11 and f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c. Let v(h) be the second derivative of 0*h**3 - 20*h + 0 + 0*h**2 - 1\/4*h**4. Determine v(f(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v - 1. Calculate the remainder when r(-4) is divided by (15\/(4 + -9))\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 50*j - 10*j**3 + 75 + 29*j. Let b(d) = 17*d**3 + 41*d - 150. Let x(c) = -4*b(c) - 7*q(c). Find the first derivative of x(t) wrt t.\nAnswer: -15*t**2 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008915792 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3825090 divided by 2285\nAnswer: 1674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 354248 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 351 divided by 15042.\nAnswer: 117\/5014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.5 + -0.5. Let n = -0.166 - -7.166. Let t = n - w. What is the second biggest value in t, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**3 + 2*r**2 + r - 1. Let w be d(2). Let n = w + 5. What is the third biggest value in 3\/5, 2\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -380 - -390. What is the least common multiple of n and 234?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46426 = -3*t - 4*n + 26086, -3*n = 3*t - 72516. Suppose -30*y + 14*y + t = 0. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 933618.1 micrograms?\nAnswer: 0.9336181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 + 8026*s**2 + 9895360*s + 3452652032.\nAnswer: 2*(s + 589)*(s + 1712)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 2 - 10)*((-285)\/50 + 6)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 22, 1\/4, -1\/4 in descending order.\nAnswer: 22, 1\/4, -1\/4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*u + 41*u - 42 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 11:51 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -49544?\nAnswer: 49539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 3*t**2 + 1 - 44 - 2*t + 44 - 6*t**2 - 18 + 18 + 8*t**2 + (2*t - t + t)*(3*t - 2*t + 0*t).\nAnswer: 7*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 6*h**2 - 1901*h - 15579. Give f(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 1:55 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 - 3)*(-5980*q + 5980*q + 1 - 3*q**2) to s*q + x + u*q**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -16. Let o = a + 10. Factor 0*g + 0 - 2\/5*g**4 - 4\/5*g**3 - 2\/5*g**o.\nAnswer: -2*g**2*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 595 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/2 - 3117*a - 1466640.\nAnswer: -3*(a + 720)*(a + 1358)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(208\/(-94)) + (-6)\/8. Sort 5, p, 3\/4, 2\/121 in descending order.\nAnswer: 5, 3\/4, p, 2\/121","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.7 and -858.826.\nAnswer: -861.526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 31 + 9. Suppose 7*n - 36 = -t. What is the derivative of 3*i**4 + 11*i**4 + 1 - 11*i**n + 6*i**4 wrt i?\nAnswer: 36*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*j + 512, 5*w = -2*j + j - 1293. Is -1*4 + 2 - (w + 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -1)\/((-4)\/(-28)). Suppose 2*n = p*n. Suppose -3*y + y + 10 = n. Calculate the remainder when 9 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -102 and -102 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31654082, 126616339, 284886768, 506465369, 791352142, 1139547087, 1551050204?\nAnswer: 2025861493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 137744 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1.472 * 1615\nAnswer: -2377.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 2:19 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 743 - 742.677. Let x = -0.11 + w. Let p = 0.23 - x. Round p to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (5 + -6 + -7 + 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-1\/5)*w)\/(w*w**(-3\/4))*(w*w**(1\/3))**(-2\/3) assuming w is positive.\nAnswer: w**(191\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jsjjjjsjsjsjjsjjjjj. What is prob of sequence jsjj?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 44, 143, 332, 641, 1100, 1739?\nAnswer: 2588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -7.4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1565 - -2489. Suppose -f = 5*d + 4*t, 0 = 4*d - 8*d + 2*t - 760. Is 45\/(-30)*d\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, e: 1, a: 1, q: 2}. Give prob of sequence ajqq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-8 + 13 + -12)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 397 = -191. Let l be (u\/15)\/(6\/(-15)). What is the derivative of h**3 + l + 13 + 0*h**3 - 12 wrt h?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17804 and -2.\nAnswer: 35608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 386138 - 0.4.\nAnswer: 386137.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -102473 or -102504?\nAnswer: -102473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1\/14, -6, -2.8, -1 in increasing order.\nAnswer: -6, -2.8, -1, -0.4, -1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j*m**2*x - 3*j*m*x**3 - 8*j*m - j*x**3 + 2*m**2*x**2 + 2*m**2 wrt x?\nAnswer: -18*j*m*x - 6*j*x + 4*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 + 0.21. Let q = l - -0.053. Let f = q + -1.803. What is f rounded to one dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 194*j**2 - 2*j + 76. Is 39 a factor of a(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 - 51*w + 117. Let n be j(24). What is the highest common factor of n and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) - (4 + (sqrt(539)*-2 - sqrt(539)) + sqrt(539)) - (2 + (sqrt(539) - sqrt(539)*-2)))**2 - ((1*sqrt(539)*-1)**2 + -2)) + -2.\nAnswer: -503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -f**6\/40 + f**5\/30 - f**2 + 1. Let b(o) be the second derivative of m(o). What is the third derivative of b(t) wrt t?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1530 divided by -306?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by (-45)\/60 + (-59)\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 564.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(143)*-1 + sqrt(143)) + sqrt(143)*-3*5)\/((-5*sqrt(1188) + sqrt(1188) - sqrt(33))\/sqrt(3)).\nAnswer: 3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 11419, 3\/5, -4\/3.\nAnswer: -4\/3, -1, 0, 3\/5, 11419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -2 + 1)*-4. Suppose c*q - 3*q + 4*g = 4, 0 = 3*q - 4*g + 4. Let p(l) = -l**2 + 65. Calculate the remainder when p(q) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4099058.\nAnswer: 2, 47, 43607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 f when two letters picked without replacement from fww.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.91726 - -0.08274. Let s be 17\/(-420) - (-2)\/6. Let p = -3\/28 - s. Which is the third smallest value? (a) -1 (b) p (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 178741*j - 1328. Is l(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4 + 27*w**3 + 210*w**2.\nAnswer: -3*w**2*(w - 14)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1836211*b**3*f + 106*b**2 + b + 2*f - 643 wrt b?\nAnswer: -11017266*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 848 and 12528?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m - 58*m**2 + 13*m**2 - 2*m in the form u + v*m**2 + w*m and give v.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f**(-3)\/f*f))\/f**(2\/9)*(f\/f**(-1\/5))\/(f*f**6\/f) assuming f is positive.\nAnswer: f**(-1\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ik when two letters picked without replacement from {k: 8, v: 4, b: 2, i: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-1 - 27)*15\/20. Let j be -6 + 3 + (o - -4). What is the remainder when 0 - (12\/(-4) - j) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 7*l - 15. Let i be j(6). Let g(r) = -3*r + 4. Let p(z) be the first derivative of 3*z**2 - 9*z - 42. What is i*g(a) - 4*p(a)?\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - k + 8800 = 4*h, 3*k - 11000 = -5*h. Suppose 4*s = 6*s - h. Round s to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**41\/v*v)\/(v**15*v))\/(v**6*v\/v**(6\/5)*v) assuming v is positive.\nAnswer: v**(91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**3 - 218*v**2 + 91*v + 1317. Let z be g(-73). Factor -4\/5*h**2 + 1\/5*h**z + 1\/5*h + 6\/5.\nAnswer: (h - 3)*(h - 2)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586.33452 rounded to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 k, and 1 f when four letters picked without replacement from whqtfkhfffkwf?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -1.07\nAnswer: 4.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-13 + 1860\/144).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -1\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(108)\/sqrt(2)*-4)\/(-3*((sqrt(9)\/sqrt(3) - sqrt(3))*4 + sqrt(3)*2*2)).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 287\/35 + 6\/(-30). Suppose 25*r - 56 = 23*r. Calculate the highest common factor of t and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15, -0.2, 39?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15139876\/76 + ((-220)\/209)\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -387 - 350 = -3*u + 4*q - 766, 0 = 4*u + 9*q + 53 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 10:16 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2321216 (base 10) to base 15.\nAnswer: 30cb7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68.1477 + 0.1477. Is c < 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -856, -145, 1040, 2699, 4832, 7439, 10520?\nAnswer: 14075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27\/5 - (-38)\/(-95). Suppose -4*r + 18 = 5*l, g*l - 17 = 2*r + 19. Calculate the smallest common multiple of l and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**13\/k**(-2\/17))\/(k**(-1\/20)\/(k*k**(-2\/53)*k)))**(-3) assuming k is positive.\nAnswer: k**(-817923\/18020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 1 = -7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 116\/3*b**3 - 20*b**4 + 12*b + 89 - 32*b**2 + 16\/5*b**5. Let f(k) = 0. What is k?\nAnswer: 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -13*b - 4*q, b - 57*q = -59*q - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1, 2, 7, 14, 23?\n\"Answer: h**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 5*u + 2. Suppose 0 = 2*w - 6, 2*k + 6 = 5*w - 19. Let h be v(k). Solve 3*o - 14 = -j - h*o, -11 = -4*j - 5*o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**5\/10 + 3*h**4\/2 - 14*h**2 + 2*h. Let c be w(-6). Solve c*t - 7*t = 35 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-653 - -661 - (-1 + 16 + -2 + -2))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 0*y**4 + 2*y**2 + 0 + 0*y + 1\/105*y**7 - 1\/75*y**5 + 1\/100*y**6 + 0*y**3. Factor u(p).\nAnswer: 2*p**2*(p + 1)*(5*p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 45205.11 decades?\nAnswer: 5424613.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**44*s**(2\/3)\/s*s*(s*(s*s*s**(-2\/3))\/s)\/s assuming s is positive.\nAnswer: s**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -17*x**2 - 163*x + 65. Calculate n(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, c: 5, k: 2}. Give prob of sequence cqc.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 65582490 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 113573729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/11 and (14\/(-5))\/((-189)\/(-420))?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-128664)\/(-90))\/((-3)\/15)*14\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j + 3. Let r be k(-1). Let t be (-39)\/18 - r\/6. What is the remainder when 11 is divided by (35\/25)\/((-2)\/5)*t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 2*o**2 + 1. Let a be (100\/(-125))\/(1 - (-7)\/(-5)). Calculate z(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-56600)\/407520)\/(2*(-1)\/(-27))\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15857 divided by -9.\nAnswer: -15857\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -27449 and 9.41487.\nAnswer: -27439.58513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16191.51 - 16106. Let h = 85 - j. Let o = -0.11 - h. Which is the second smallest value? (a) 5 (b) 1\/2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -189 - -3ad?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354749.\nAnswer: 19, 18671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*f - 84 = 0, 3*r + 2*f - 220 = f. Suppose -z = 3*z + 84. Let v = z + r. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*4*-5 - -3*sqrt(66)*-4)\/(-5*(1*(3*sqrt(486) - sqrt(486)) + sqrt(486) + sqrt(486))).\nAnswer: 8*sqrt(11)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02 + -4.98. Let b = u + 4.8. Put -2\/17, b, -1\/11 in increasing order.\nAnswer: b, -2\/17, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/424 and 77789\/(-7270)*(10\/(-2))\/(636*1).\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 108 = -3*t. Let c = 39 - t. Find the second derivative of -13*n**c + 9*n**4 + 10*n**3 - 29*n + 3*n**3 wrt n.\nAnswer: 108*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 0)*(2*d - d - 2*d) + (0*d + 3*d - d)*(4 + 2 - 4) + 21*d - 3*d + 13*d in the form p + t*d and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 13 in increasing order.\nAnswer: -4, -2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66176, 66342, 66622, 67016, 67524?\nAnswer: 68146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z + 22. Let i be -846 + -10*(1 + 6\/(-10)). Let m be (-2)\/17 + (-9450)\/i. Calculate l(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 29554 - 29560, 0 = -3*x + 8*y - 19 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 1. Let q(o) = -o - 7. Let p(f) = 4*k(f) + q(f). Let z be p(-7). Let s(l) = 0*l - 3*l + 3*l + z*l. Let b(y) = 6*y. Determine s(b(u)).\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1\/4))**(2\/155)*c*c\/((c*c\/(c**(-1\/2)\/c))\/c)*c*c\/c**(-2\/13)*(c**(-2\/7))**46*c**(-4)\/(c\/(c\/(c*c**(2\/9)\/c*c))) assuming c is positive.\nAnswer: c**(-423872\/25389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 32814.64614 rounded to the nearest 10?\nAnswer: 32810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 359 a factor of 1821207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 482723921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/1804 and -10\/4961.\nAnswer: 19844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741 greater than or equal to 1740?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-1) + 10\/3*36\/120\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12618366812 + -65.\nAnswer: -12618366877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -z - 22, 0*s - 22 = -4*s + 5*z. Suppose -p = -0*p - s. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*v - 17136 - 37137, -5*y = -2*v + 36168. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 133999, 138602, 143203, 147802, 152399, 156994?\n\"Answer: -x**2 + 4606*x + 129394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/6 + 31787*u\/6 + 1818280.\nAnswer: (u + 347)*(u + 31440)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, -13, -3 in increasing order.\nAnswer: -13, -3, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 21. Which is the closest to i? (a) 5 (b) -1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**2 + 5*h - 5. Let x(i) = 157*i**2 - 158*i**2 + 43757 + 3*i - 43760. Suppose -l = -2*l + 3. Give l*r(s) - 5*x(s).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 2664 = 3405. List the prime factors of p.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 834 - 1627\/2. Let x be 6 + 75*(-5)\/(-25). Which is greater: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 7*p**2 - 162*p - 26. List the prime factors of c(24).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41674, -166671, -374998, -666655?\nAnswer: -1041642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 13. Let q(h) = -1. Let u(m) = -m - 7. Let y(v) = 3*q(v) + u(v). Let n be y(-2). Give k(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 1, 3, -44, -2 in increasing order.\nAnswer: -44, -2, 1, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27150.51 minus -6.4055?\nAnswer: 27156.9155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*q + 130 = 246 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 0.2 (b) -0.2 (c) -21.9 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97091435 is divided by 75.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 46?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10.94+3.024720925\nAnswer: 13.964720925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 5:20 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*j, 5*a - 5*j + 480 - 125 = 0. Are a and -73 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyieiuyetetux. What is prob of sequence ey?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -125, 7, -17, 5, -3, 4 in decreasing order.\nAnswer: 7, 5, 4, -1, -3, -17, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*m**3 + m**2 + 6*m**3 + 7*m**3 + 22 + 7*m**3 as j + l*m**2 + k*m + g*m**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/((r*r\/r**(-1\/2)*r)\/r)*r*r*r\/r**8 assuming r is positive.\nAnswer: r**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 0, 20 in increasing order.\nAnswer: -4, -3, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 839099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, -3, 33, 6, -16 in descending order.\nAnswer: 33, 6, -3, -16, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 31*f**2 + 2*f + 83. Let s(k) = 2*k**3 + 61*k**2 - 4*k - 166. Let r(o) = -5*b(o) - 3*s(o). Find the second derivative of r(j) wrt j.\nAnswer: -6*j - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n = -3*n - 132. Suppose -b = -5*d + 4*d - 343, d = -4*b + 1347. What is the remainder when b is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.869378l to millilitres.\nAnswer: 869.378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -762, -3359, -7776, -14013?\n\"Answer: -910*r**2 + 133*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l**4 + 32*l**2 - 782*l + 693828 wrt l?\nAnswer: -4*l**3 + 64*l - 782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {h: 2, z: 4, o: 8, t: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (37\/(-13209)*34)\/((-3)\/(-9))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1941179?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -26 - (335 - 306) - -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42005789 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59\/150 - -1\/150. Suppose 5*j = 279 - 349. Sort -1\/5, x, j, 0.3.\nAnswer: j, -1\/5, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1893426 + -0.02844.\nAnswer: 1893425.97156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 20*s**2. Let y(l) = l**2. Let u(q) = q**3 - 53*q**2 - 2*q + 111. Let f be u(53). What is f*y(a) - p(a)?\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1086 divided by -242542\nAnswer: -543\/121271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + (0 - -19) - 23.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p - 10. Determine a(-18).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 15*l**2 - 2*l - 26. Let d be s(-15). Determine r so that -26*r**d + 3*r**3 + 22*r**4 + r**3 - 4*r**5 - 8*r**2 + 12*r**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13260795*-4.\nAnswer: -53043180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - m - 3333 = 90*m + 5797 for m.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4619081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 216, -4050, -12798, -26022, -43716, -65874, -92490?\n\"Answer: b**3 - 2247*b**2 + 2468*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 30 = -17*f. Solve p = f*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 7*d + 1. Let w be v(-6). Suppose -3*o + 28 = w. Let a be (o + -2)\/(1 + 0). Solve -j + p - a = -3*j, 3*j - 4*p = 24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j + 5 - 7 - 11*j**2 - j**2 to c*j**2 + a + d*j and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rriiriirriiiriiiii. Give prob of sequence irir.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 45671293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 5 + 426*o - 389*o + 6.\nAnswer: 37*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 2*t + 1. Let u be h(-2). Let x(v) = -v**2 + v + 1. Let c be x(-2). Let q = u - c. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1220201 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 39*r + 4565. Determine a(-109).\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1761234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/825)\/(2030\/(-75) - -27).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -3546, -3, 5, 16, -4, 0 in decreasing order.\nAnswer: 16, 5, 0, -3, -4, -7, -3546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 995 + 17?\nAnswer: a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(2\/13)\/f)\/(f\/(f\/f**6*f)))**(3\/23))**(-1\/6))**(-2\/27) assuming f is positive.\nAnswer: f**(-76\/8073)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -361*f**2 + 6*f + 6. Let q(o) = -362*o**2 + 5*o + 5. Calculate 6*q(w) - 5*y(w).\nAnswer: -367*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 58428, 2, 21, 0 in decreasing order.\nAnswer: 58428, 21, 2, 0, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 145398142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 570272976 a multiple of 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**6\/120 - 3*k**5\/20 - k**4\/24 - 4*k**3\/3 - 19*k**2 - 1. Give g(9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - 3. Let o be (-5)\/(-3) - (-2)\/d. Put o, 0, -0.5 in ascending order.\nAnswer: -0.5, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/1936 and -151\/3452064.\nAnswer: 37972704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, -0.1, 4\/1345, -2, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 54 - 4. Suppose -w = -3*g + 2. Suppose f = 3*f - g. Calculate the highest common divisor of 10 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*((-51)\/34)\/(6\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*r - 69*r = 5*t - 17390, 0 = 3*r - 2*t - 17404. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*v + 9*v = -75*v - 840 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 28\/(-7)*(-46)\/(-8). Let a = 37 - y. Suppose -32*f + 19*f**2 - 144*f**5 + 146*f**3 - a*f**4 - 8 - 4*f**2 + 23*f**2 = 0. What is f?\nAnswer: -1, -1\/2, -1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8418.095mm in meters?\nAnswer: 8.418095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 122416.27325 - 94594.2718. Let l = i + -27823. Let q = l - -1. What is q rounded to four decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193 smaller than 29796\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99 - 50 + 7)*(2*l**2 + 2*l**2 + 2*l**2) + (0 - l + 0)*(0 - 2*l + 0) + 2*l**2 - 3*l**2 + 0*l**2.\nAnswer: 337*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w - 3. Let d be q(-5). Let x(o) = 9*o + 5 - o**3 - 5*o**2 + d*o**2 - 5*o**2. Let k be x(-9). Calculate the greatest common divisor of 40 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 755232542 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 1 + 3*d**2 - 2 + 4 + 3*d - 1. Let a(o) = -17*o**2 - 13*o - 5. Let w(c) = -35*c**2 - 26*c - 9. Let r(u) = 9*a(u) - 4*w(u). What is -9*f(g) - 2*r(g)?\nAnswer: -g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2441?\nAnswer: 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 443 (b) -10 (c) -0.03 (d) -0.5 (e) 3\/2 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Convert -ba (base 12) to base 11.\nAnswer: -11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 7*w - 2. Let t be u(1). Let k be (-1)\/t - (-588)\/(-10). Let p = k - -117. What are the prime factors of p?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, n: 9, e: 1, m: 1, h: 4, x: 1}. Give prob of sequence hn.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -202 + 161. Find the common denominator of 1\/3 + 190\/645 and (2 + -3)*f\/(-11).\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27825 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 489.353668817 + -555.3536686. Let o = 66 + m. What is o rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1125\/22 - -69365\/1364. What is the common denominator of 79\/8 and b?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2458 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + j - 11 = 0, -169*j + 9 = 4*v - 168*j. Let l(k) = k**3 - 2*k**2 + 3*k. Let c be l(3). Solve v = 4*n + c for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 1. Let v be s(4). Let j be 2\/(-6) - 995\/(-15). Suppose -5*k = 10, -v*f = -k + 4*k - j. Calculate the highest common divisor of f and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73\/14 - 26\/7. What is the common denominator of l and -16\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -185656 + -80?\nAnswer: -1856d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1684220.05 from -245.\nAnswer: -1684465.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1474\/(-66)*6\/(-8) and -25\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*p - 130 + 779 = 0, 0 = 4*p + 12. What is the remainder when d is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 20*i = -32417. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d - 4 = 17*d + b, -4*d + 3 = -b for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 64*m**2 + 7\/24*m**4 + 0 + 1\/9*m**3 - 23\/180*m**5 + 0*m. Find p, given that g(p) = 0.\nAnswer: -2\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 1. Let l(c) = 469*c + 5633. Let u be l(-12). Sort s, 3\/7, 3.7, u in decreasing order.\nAnswer: u, 3.7, 3\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10*1\/(-5)*15\/(-6). Let g(n) = 2*n - 5. Let d be g(o). Which is the second biggest value? (a) d (b) -7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.5 + -0.5. Let i = q + -16.1. What is the third smallest value in i, -0.2, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130094140 to the power of 1\/3, to the nearest integer?\nAnswer: 1042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9331, -18036, -26105, -33532, -40311, -46436, -51901?\n\"Answer: t**3 + 312*t**2 - 9648*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from iissiib?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*c + 46, -24 - 37 = -3*c + 2*f. Let k(h) = -10 - 11 + c + 3*h**2 + 3*h. Let y(q) = q**2 + q - 1. Calculate -2*k(i) + 7*y(i).\nAnswer: i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - o - 20, 4*z - 4*o - 40 = 0. Let w = 10 - z. Is w even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 2. Let d(o) = o**3 + 3*o**2 - 3*o. Let t be d(-4). Sort t, 4, y.\nAnswer: t, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(19) - (sqrt(304) + 4 + sqrt(19))).\nAnswer: -4*sqrt(19) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*(4 - 5*i - 4) + 2*i + i + i.\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -478 (base 12) to base 3.\nAnswer: -220202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 4) in base 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.77 - -4.83. Let i = t - -71.4. Let l = -76.5 + i. What is the second smallest value in 2\/17, -0.2, l?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**3\/3 + 2*t**2 + 5*t - 1. Let f be q(5). Does 2 divide 3 + f + -2 + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + g = -3, v + 4 = 3*g + 13 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2. Let a(v) be the second derivative of v**3\/2 - 5*v. Give a(u(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -79? (a) -2\/5 (b) -1\/52 (c) 1 (d) 601\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 11*c**2 + 10*c + 9. Let n be g(10). Suppose 35 = -4*y - n. Let d = 343 + -347. What is the second biggest value in 4, d, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*u = -63 - 13, -4*u - 304 = -4*o. What are the prime factors of o?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 + 39 + 33119*b + 38 + 100162*b.\nAnswer: 133281*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 7. Suppose -2*d = 3*d + 2*m - 42, c*d + 4*m - 28 = 0. Solve -3*g - 6 = -0, -3*g - d = -x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3740, -3\/5, -1.018?\nAnswer: -1.018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2268*t - 424. What are the prime factors of z(7)?\nAnswer: 2, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15\/5764363 + 38142806981\/6536787642. Let v = q - 1\/567. Find the common denominator of v and -111\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 388380 to the nearest one thousand.\nAnswer: 388000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-1)*(-21)\/(-3). Is 1 + l\/(7\/(-78)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3360 + 5981. What are the prime factors of i?\nAnswer: 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36473017 to the power of 1\/2, to the nearest integer?\nAnswer: 6039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/198 and 80\/1008 - (-3)\/21?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51887, -103765, -155633, -207485, -259315?\nAnswer: -311117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**5\/210 - i**4\/42 - 11*i**2. Solve u(q) = 0 for q.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51548, 51402, 51256?\nAnswer: 51110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 33 = -5*r - 5, -3*r = 4*h + 60. Let q = -13 - -4. Which is smaller: h or q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -154 - -156 - ((-1 - 1) + -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1791641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - t + 27 = 0, -3*c - t = -6*c + 93. Let i = -24 + c. Solve 4*j - v = 18, 7*j - 2*v - 1 = i*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 738711286?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.02 - -78.02. Let w = -78.4 + c. Put -1, 3, w in descending order.\nAnswer: 3, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-8))\/((-20)\/960*6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tr when two letters picked without replacement from trrpprr.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-275))\/((-1584)\/(-2904)).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -13 - 7, 0 = 5*z - k - 35. Solve z - 2 = -3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6a + -a0?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 12 - -1 - (5 - 1296)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(1 - (2 + 2)). Let s be ((-2)\/4)\/(z\/(-318)). Let c = s + 77. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 0*n - n**2 + 0*n**3 + 1\/12*n**4 + 0. Let t(q) = -381*q + 188*q + 191*q. Determine g(t(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 9:24 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(43\/(-10) - (-12 + 8))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2508686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-five halves of a microgram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 261*x**5 + 17*x wrt x.\nAnswer: 5220*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59738*s + 130828*s - 65124*s to the form c + a*s and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 4:06 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*sqrt(2592).\nAnswer: 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 111797237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 4)*(15*d**2 - 10*d**2 + 11*d**2)*(33 + 73 + 7*d - 44) in the form z + w*d**3 + s*d**2 + c*d and give s.\nAnswer: 992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 12*r**2 - 12*r + 9. Let n be c(11). Let t be 5\/n*(-16)\/20. Solve -3*o + 11 = t for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -36, 323 in descending order.\nAnswer: 323, 2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 22*r - 25.\nAnswer: -22*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w - 3*w + 24 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -8 + t**3 + 0*t**3 + t + 5*t**2 - 4*t**2 - 2*t. Let n be z(0). Let p(l) = -l**3 - 8*l**2 + 10. Is p(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 6:18 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -88, -2, 4409 in descending order.\nAnswer: 4409, -2, -4, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-13)\/(-2))\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -b + 20. Let h be (5 + b)\/(-1 - 1). Factor h*w**4 - 9*w**2 + 12 - 2*w**4 + 12*w**3 + 2*w - 14*w - w**4.\nAnswer: -3*(w - 2)**2*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*l = 288991 - 291541 for l.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 3*d = -8*d + 13*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 207.1 - 207. Which is the second smallest value? (a) t (b) 2\/21 (c) -3 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1664*z + 40 = 1656*z. Which is the nearest to 1? (a) -3\/2 (b) 0 (c) z (d) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 402?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 192\/7*k**2 - 768\/7 + 8\/7*k - 2\/7*k**3.\nAnswer: -2*(k - 96)*(k - 2)*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + -4 - 4) + 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -837, -144, 1735, 5394, 11427?\n\"Answer: 99*s**3 - s**2 + 3*s - 938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/5)*m\/(m\/(((m\/(((m\/m**(-5\/2))\/m)\/m))\/m*m)\/m*m))*m*(m**(-2)\/m)\/((m\/(m\/(m*m**3*m)))\/m) assuming m is positive.\nAnswer: m**(-61\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -409844, -409973, -410100, -410225?\nAnswer: -410348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 r when four letters picked without replacement from vqnvvnnvqrqenqqrvers?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -10*h + 0*h**2 + 1\/36*h**4 + 0 - 1\/6*h**3. Factor p(l).\nAnswer: l*(l - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x**3 - 3*x**2 - 2*x + 2. Let k be (6\/(-8))\/(-1 - 15\/(-20)). Let u be k*(6\/(-9) + 0). What is the remainder when 76 is divided by g(u)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1.8, 2\/9, -2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 less than -594.23558?\nAnswer: -586.23558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 10. Let v be p\/10*10\/4. Factor g**2 + 2*g - g + 17*g - 4*g**v - 27.\nAnswer: -3*(g - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -4. Let b(l) = l**2 - 8*l + 9. Let s be b(y). Solve -s*w + 3*w = -2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 653?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/31, 5, -0.3, 0.1, -12, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 13194.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 19, -23, -3, -1 in decreasing order.\nAnswer: 19, 2, -1, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07634 times -2237?\nAnswer: 170.77258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 878303.\nAnswer: 67, 13109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 233, 232, 231, 230, 229, 228?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - u + 6. Suppose 5*b + 17 = u. Which is smaller: b or -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/130 and 28\/21 - (-3487)\/(-462).\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1945 + -1942.7. Which is greater: p or -15?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**2 - 9*y - 7. Let r be (1 + 0)*-2 - -6. Let n(s) = 2*s - 4. Let k be n(r). Let l(h) = -2*h**2 - 5*h - 4. Calculate k*x(f) - 7*l(f).\nAnswer: 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.9 + 6. Let x = 1.7 - n. Sort -0.2, x, -3 in decreasing order.\nAnswer: -0.2, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*u - 12*u + 52*u.\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 19.62843 millilitres?\nAnswer: 0.01962843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -1444113024?\nAnswer: 1444113032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20890750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1559234?\nAnswer: 2, 779617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -5\/18*w**4 - 1\/30*w**5 - 12*w**2 + 32\/9*w**3 + 79*w + 0. Factor h(g).\nAnswer: -2*(g - 2)**2*(g + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p = 26*p - 56 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a**2 + 1 - 1)*(40*a**2 - 18*a**2 + 41*a**2)*(-6 + 1 + 0) to the form u + t*a**4 + b*a**2 + j*a**3 + p*a and give t.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -6. Let b(z) = 4*z**3 + 7*z**2 - 10*z - 1. Let r(k) = -7*k**3 - 13*k**2 + 19*k + 2. Let d(l) = o*r(l) + 5*b(l). Calculate d(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-195)\/25)\/((-486)\/60 + 8))\/2\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 124 + -1117\/9. Let s = 4.8681 - -0.1319. Put -0.3, k, s, 0.1 in increasing order.\nAnswer: -0.3, k, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-544)\/(-3072)*-8)\/(3\/((-6)\/(-1)))?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64627537\/55882 + -2\/27941. Let p = 20713\/18 - a. Find the common denominator of 11\/9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 - -4) + (-12 + -23 - -7)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 16.618?\nAnswer: 23.618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 9*c - 23. Solve 0 = 3*s - 2*s + 5*z + 5, c*z + 19 = 3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.72 + 0.28. Let t = -1 - -0.9. What is the closest to t in r, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o**5 - o**4 - o**3 - 4*o. Let l(q) = q**5 - q**4 - q**3 - q. Let y(v) = 2*l(v) - 2*r(v). Find the second derivative of y(m) wrt m.\nAnswer: 240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -80 + 86. Let z(u) = u**2 - 8*u + 15. Let l be z(q). Let x = 0.6 - 0.3. Which is the second biggest value? (a) 4 (b) l (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 207397865*t**2 - 414795745*t - 207397875.\nAnswer: 5*(t - 41479575)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 6. Let o(q) = 6*q + 1. Let f be 5*(4\/10 - 0). Let y(a) = -7*a - 4*a + f - 4. What is w*o(b) + 4*y(b)?\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -33*z + 5. Let d(c) = -86*c + 12. Let n(o) = 5*d(o) - 13*p(o). What is n(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 265867 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + d = -14. Suppose 3*a - 4*w = 32, a - 2*w = -0*w + d. Suppose a*k - 62 = -6. Solve 3*s = 3*c + 18, s + 4*c = -0*s - k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**9\/7560 - i**7\/2520 - i**4\/4 - 6*i**2. Let n(a) be the second derivative of s(a). Find the third derivative of n(f) wrt f.\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1 + (sqrt(2) - sqrt(8)) + sqrt(128) + 0 - (sqrt(2) + sqrt(12)\/sqrt(6)*2 + sqrt(2) + sqrt(2) - (sqrt(2) - 4*sqrt(10)\/sqrt(5))))**2.\nAnswer: -2*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 380, 681, 982, 1283?\n\"Answer: 301*u + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -88a + b?\nAnswer: -87d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -206, -459, -812, -1265, -1818?\nAnswer: -2471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nhnn when four letters picked without replacement from {n: 3, h: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a**2 + 13*a - 75. What is the hundreds digit of g(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 737 and -25.07?\nAnswer: 762.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**9\/10584 - q**8\/7840 - q**7\/4410 + q**4\/24 + q**2. Let m(n) be the second derivative of i(n). Solve m(p) = 0 for p.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/69)\/((-14)\/(-630))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/11 - 2342*k\/11.\nAnswer: 2*k*(k - 1171)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 7*y**2 + y + 1. Suppose 5*q = 2*d + 13, -5*d + 6 + 8 = 3*q. Suppose -2*n = -q*n - 1. What is the remainder when 25 is divided by j(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 2*z**2 + 7*z + 6. Let c be t(-4). Suppose 2*x + 4*i = c + 18, -5*x + 2*i + 118 = 0. What is the smallest common multiple of x and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 10*m - 1\/48*m**5 + m**2 + 55\/48*m**4 - 605\/24*m**3 + 0. Determine n, given that l(n) = 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93263 is divided by 2827?\nAnswer: 2799","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20012223 - -10221?\nAnswer: -20002002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 548 and 2394349.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -23*x - 19 + 5*x - 5 + 13. Is d(-6) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 27*b + 139. Let j(n) = -54*n - 282. Let x(c) = -7*g(c) - 3*j(c). Differentiate x(u) with respect to u.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 6) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(99\/46) + -4.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32515400 (base 6) in base 11?\nAnswer: -606198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 325500176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22569?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/6)\/(b\/((b*(b*b**1)\/b)\/b))*b**(-2\/19)*(b**(-4\/7)*b)\/b assuming b is positive.\nAnswer: b**(-407\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from {e: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*w, 0 = 3*r + 2*w + 22 - 24. Let v be (39 - 36)\/(3*r\/16). Sort 14, v, 5 in decreasing order.\nAnswer: 14, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(0 - 1 + 0)*(-u**3 + 3*u**3 + 4*u**3).\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 a factor of 51072860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008646 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 139026, 277991, 416956?\n\"Answer: 138965*n + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -206, -1314, -4300, -10100, -19650?\n\"Answer: -156*q**3 - 3*q**2 - 7*q - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87 and 54375.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r**2 + 3*r**2 + 0*r**2)*((0*r + 5*r - 4*r)*(9*r + 5*r - 7*r) + r**2 - 3*r**2 - r**2) in the form h*r**4 + d*r + o + n*r**2 + a*r**3 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58652 and 1075?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24384 is divided by 24381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3797 at least as big as -3797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 4. Let v = 8 + r. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -s + 69, -3*p + 115 = 2*p + 4*s. What is the remainder when p is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 440, 406, 370, 338, 316, 310, 326?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h + 81. Let b be v(27). What is the second smallest value in b, -10, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 - y - y**3 - 5*y**2 - y + 19*y**2 to v*y**2 + g + b*y**3 + z*y and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 12*l**2 - 79*l + 69. What is k(7)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21342, 21342, 21344, 21348?\nAnswer: 21354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + c - 10. Suppose 0 = -2*j + j - 9*j. Determine y(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r - 8 = -14*r. Let w be (-4)\/(-16)*r\/5. Which is the closest to w? (a) -3\/8 (b) -1 (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a. Let w be s(-4). Let k = w + 8. Suppose -5*r = j + 15, -2*r + 3 = 3*j - k. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(6) - (sqrt(6) + (sqrt(384) - -2*sqrt(384)) + sqrt(384))))\/((sqrt(128) - sqrt(128)*-2 - sqrt(128))*6)*-5.\nAnswer: 5*sqrt(5)\/3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, 36, 120, 4, -4, -2 in decreasing order.\nAnswer: 120, 36, 4, 3, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48730081 to the nearest integer?\nAnswer: 6981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4279 - 76?\nAnswer: 4203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1110352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*t**3 - 2*t - 218*t**2 + 218*t**2 + 36*t**3 in the form h*t**2 + c*t + l*t**3 + s and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*x = -130, 2*x + 185 = 3*d - 0*x. Suppose -d = -5*r + 4*j + 35, -3*r + 5*j = -51. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5271095 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (19 - (32 + 3))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-16)\/6)\/((-4)\/(-6)) - 46. What is the units digit of (-3 - 23)\/(20\/c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwks when four letters picked without replacement from {w: 7, s: 3, k: 3}.\nAnswer: 63\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-371)\/(-245) - (-45)\/(-63)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 52882\/23 or 2299?\nAnswer: 52882\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*m - 8, -2*m + 5 = k - 11. Let x(z) = 35*z - 9. What is the tens digit of x(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 + 34 + -12 - (1 - -4)) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (31 - 19 - 28 - -29)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1196056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34027 is divided by 6729.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 - 122*g - 1380. Let i be q(-46). Let 3\/5*d**2 + 1\/5*d - 3\/5*d**4 - 1\/5*d**3 + i = 0. What is d?\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21620047 - -6?\nAnswer: -21620041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/11*s**5 - 4\/11*s**3 + 0*s**2 + 0*s + 0 + 2\/11*s**4 = 0. What is s?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -6970, 3, 1, -5.\nAnswer: -6970, -14, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g - 4. Let w be (-5)\/(-15)*-5*-3. Suppose w*i - 152 = 13. Let t(b) = i - 16 + 3*b - 20. Give 3*c(k) - 4*t(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16\/9 - 23\/18. Factor 0*p + 0 + p**3 - n*p**2 - 1\/2*p**4.\nAnswer: -p**2*(p - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 j when four letters picked without replacement from {l: 1, u: 1, n: 1, j: 1, v: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43803718 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 + -133132?\nAnswer: -133153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-2 - (-16)\/12). Let b(j) = 23*j**3 - 3*j**2 - 2*j - 1. Let q be b(x). What is the second derivative of -c - q*c**2 - 3*c + 597*c**2 wrt c?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82.64 - 5113543\nAnswer: -5113460.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14090304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, 3\/5, -2\/13, 3\/4, -10, 0.1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -4.6. Let v = -3480 - -3481. Which is the closest to v? (a) r (b) -2\/13 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -253 + 253.0000107. What is o rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**2 - 12*v + 6. Let n be f(-5). Let o be (-1 - -5) + (n - 20). Solve -9*g + 6*g = o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 12706?\nAnswer: 50824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-16)*40)\/(-1*15\/(-3)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -128 + 66 - 2*h**2 - 2*h - 2*h**3 + 41 to s*h**2 + y*h**3 + n*h + m and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m**3\/7 - 55*m**2 + 22850*m\/7 + 124000\/7 = 0. What is m?\nAnswer: -5, 80, 310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) 0.142 (c) 1\/5 (d) -4\/147 (e) -3 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4747.854 centuries in decades?\nAnswer: 47478.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 378 + 42. What is the remainder when 276 is divided by q?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 16, x: 4}. Give prob of picking 3 p.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -1123323231?\nAnswer: 1123323231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2615914266?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1289027.43 rounded to the nearest 1000?\nAnswer: -1289000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 4 - 10)*(w - 5*w + 5*w)*(51 - 100 + 48)*((2 - 4 + 3)*(-3 + 2 + 2) + 4 + 3 - 5 + 5 - 5 + 1).\nAnswer: 80*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/7 - 2761618*t\/7 - 1183548.\nAnswer: -2*(t + 3)*(t + 1380806)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16*(-3)\/(-6)*(-3)\/(-6). Solve 5*a = -o*a + 45 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*(-1 + sqrt(704))**2.\nAnswer: -709 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15377735.\nAnswer: 5, 3075547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48\/2003 - 143531\/112168. Calculate the common denominator of (-19740)\/(-10152) + 1 + (-15)\/12 and g.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96270339?\nAnswer: 3, 11, 367, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**4 + z**4 - z**4)*(-1414 + 4575 - 518 + 3606 + 2878 - 1178).\nAnswer: 15898*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 1 + 13 = 0. Let t be 15\/(-12) - (-906)\/8. What is the units digit of (6\/o)\/(21\/t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 - 21*h**2 + 4*h**2.\nAnswer: -19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 232.7321 centimeters?\nAnswer: 2327321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*m - 4*m**3 - 8\/3*m**2 + 0 - 2\/3*m**5 - 8\/3*m**4.\nAnswer: -2*m*(m + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 66\/(-10) - 4*70\/(-40). Put 0, m, -4.6 in decreasing order.\nAnswer: m, 0, -4.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370756644.\nAnswer: 2, 3, 30896387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 18*t + 52. Let u be (-158)\/(-22) - (-8)\/(-44). Suppose 56 - 7 = u*q. Calculate the remainder when l(0) is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/3 - 800\/(-150).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 0)*(5 - 4). Let o = -482 - -486. Determine r, given that -1\/4 + 1\/2*r**2 - 1\/4*r**o + d*r**3 + 0*r = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/((-14)\/(-9)))\/((-5)\/(-1))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 110976\/11152 - 2\/(-41)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4 = 2, 3*s = 3*g - 12. Let u = 6 - g. Let o(x) = -x + 9. Let b be o(0). Solve 5*a = -w - b - 0, -u*a = 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -0.3. Let o be ((-4)\/12)\/(4\/6). What is the nearest to 2 in x, 4, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -825*s + 40*s + 80*s + 0*s - s + 0*s + (-2*s - s + 4*s)*(0 + 1 - 3) + (-1 + 2 - 2)*(-3*s + 5*s + 0*s) in the form d + l*s and give l.\nAnswer: -710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5703 + 8203. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -303125 + a1?\nAnswer: -303034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 - 7016*o - 3076516.\nAnswer: -4*(o + 877)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, c: 6, e: 3}. Give prob of sequence ecwc.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -4) + -8 - 1952\/(-416).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28847600 to the nearest 10000.\nAnswer: -28850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + (sqrt(204) - (sqrt(204) - 1*sqrt(204)*1)) - sqrt(204) - -2*sqrt(204)*-2)\/(2*sqrt(192)*4).\nAnswer: -3*sqrt(17)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -916*v**3 - 244.\nAnswer: -2748*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4*((sqrt(108) + 1)*5 - 1*(sqrt(108) + -1)))**2 + 3 + 2.\nAnswer: 4608*sqrt(3) + 28224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 - (-18 - -16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -755 - -758. Suppose 3*t - 31 = g, 5*t + g - 45 = -4*g. Put t, w, 5 in decreasing order.\nAnswer: t, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*f)*(8*f - 4 + 4) - 11*f**2 + 14*f + 12*f - 25*f - 12.\nAnswer: -27*f**2 + f - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 356 and 13150106.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 27 = -3*u, 2*r = 4*u - 2*r + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4 + sqrt(66)\/(sqrt(384)*-1)))**2.\nAnswer: 16*sqrt(11) + 1035\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15 and 384.\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -4\/5, 0.1, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 1)*(-43*b + 89*b - 2 - 43*b) in the form q*b + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-six fifths of a millimeter?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 357840540?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -66, -109, -170, -255, -370?\nAnswer: -521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 159329 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*t + 830 = 0. Let y = t - 112. List the prime factors of y\/(2 + 1)*1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 27*y**2 - 33*y - 51. Let d be t(-28). Suppose -l - d = -125. Calculate the remainder when 213 is divided by l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5469139121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 2*m**2 + 5*m + 6. Suppose -2*f + 2 = 5*q + 20, -2*q = -f + 9. Calculate z(q).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, b: 2, p: 7, i: 3}. What is prob of sequence pii?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -144855 + 9.\nAnswer: -144846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*o + 40, -2*o + i + 30 = -2*i. Let n = o + 16. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 69, 4, -1 in descending order.\nAnswer: 69, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 8407 = 4*o - 4*x, -3*x - 8404 = -5*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 + 42. Suppose t*v = 2 - 0. Solve 2*p = -0*i - i - v, -p + 4*i - 23 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1897 is divided by 62.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2*(-3197 + 9 + -18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -905132*z - 476425 wrt z?\nAnswer: -905132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 82, 474, 2, -42, -0.5?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-1 - 0)) + -17 + -9?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**2 - 2*y**2 - y**2 + 0 - 1 to the form b*y**2 + r + c*y and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b8150 (base 13) in base 14?\nAnswer: 40d778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -4. Let x = -15 - -27. Let v be 4*(2 - 22\/x). What is the biggest value in l, -1\/4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + 35)\/(1\/2). Suppose 79*t = w*t. Suppose t = -2*m + 11*m - 612. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 1. Let f(o) = o**3 - o**2 - 4. Determine -f(m) + z(m).\nAnswer: -m**3 + m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 + 3*x**2 - 66 + 13 - 3*x + 5. Let h be c(-7). Calculate the greatest common divisor of 11 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289781 is divided by 114.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 13 = 1. Solve h*f = 2*f + 2*g + 4, -f - 2*g = 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 9:14 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*k + 18 + 107*k - 18 - 43*k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5 = d, -4*d - 27 = k + 2. Let b be 56\/(-35)*(d - -2). Let y(u) = -u**2 + 8*u + 3. Let c be y(b). Solve 2*n - c*n = -1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 + 28. Let x = 22 + q. What are the prime factors of ((-8)\/5)\/(x\/(-60))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 1287*u**4\/4 + 50*u**3\/3 - 1457. Find the third derivative of k(d) wrt d.\nAnswer: 7722","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 20 - -8) + (-1 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.245 + 63.547.\nAnswer: 63.792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -27*p - 139. Let b be l(-5). Let z(h) = h**2 + 2*h - 6. Let s be z(b). Solve -s*i = 4*x, 0 = -4*i + x - 8 - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - -1. Let l = -10 + r. Let t(n) = -2*n + 22. Let a be t(9). Solve 0 = -o + 3*s - l, s = 3*o - a*s + 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 8. Suppose 0 = u*g - 7192228 - 23207772. What is g rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -3\/8 (b) -1\/8 (c) -1\/5 (d) -8 (e) 30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -45*l + 39*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 877*y**2 + 1650*y**5 + 713*y**2 + 0*y**4 + 161*y**2 - 1778*y**5 - y**4 wrt y.\nAnswer: -7680*y**2 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-2 - (-2 + 6) - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 159 - 30. Let q = b + 125. What is the hundreds digit of (3\/q*-246)\/(42\/56)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12325 (base 12) to base 2\nAnswer: 110000001001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 20. Let r(c) = -31*c**2 + 5*c - 46. Let b(m) = -15*m**2 + 3*m - 23. Let l(j) = x*b(j) + 3*r(j). What is the first derivative of l(s) wrt s?\nAnswer: -36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 3883?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s - 6. Let p be m(3). Suppose -12*b - 6 + 42 = p. Solve -18 = 5*o - j, 0 = o + o + b*j - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence non when three letters picked without replacement from poppnnp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 1100000101101101?\nAnswer: -1100000101101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4 = o - 2*i, i - 2 = 3*o. Let l be (-280)\/(-30)*3*o. What is the third derivative of 5*x**2 - 9*x**2 - 19*x**2 - l*x**3 wrt x?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 614*n - 4269. Calculate y(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 24.6. Let b = v + 9.18. Let y = b + -1.714. Round y to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -1\/672*d**8 - 3\/140*d**7 - 1\/8*d**6 - 23\/60*d**5 - 3\/4*d**3 + 0*d - 11\/16*d**4 + 0 + 173*d**2. Determine s so that n(s) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -2*m**5\/5 + m**4\/24 + m**3\/6 + m**2. Let g = -2382 - -2381. Give n(g).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l**(3\/13))\/l)\/l)\/(l*l\/l**0)*l*l\/(l**(-9)\/l)*l\/l**4 assuming l is positive.\nAnswer: l**(94\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -222011102?\nAnswer: 222011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxggoxjgxjxggjjggxj. Give prob of picking 1 o and 1 x.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n - 1402*n**3 - 1406*n**3 + 7*n + 2812*n**3.\nAnswer: 4*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240\/105*6\/(-24).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2831\/(-596) - 1\/(1*4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {c: 2, p: 4, m: 2, v: 11}?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7 from -594771154.\nAnswer: -594771161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u*(u\/(u**(-20)*u)*u*u)\/u*u*u*u*u*u**(-34))**(6\/17))**(-6\/5))**(12\/7) assuming u is positive.\nAnswer: u**(2592\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 7*b + 39. Let a be d(11). Let t(i) = i + 11. Let o be t(-13). Let z be 134\/(-8) + (-2)\/8. Sort o, z, a.\nAnswer: z, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3955 times 0.133?\nAnswer: -526.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 3*a**2 - 2*a + 16. Let x be w(3). Solve -x*s + 14 = 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/9 - 74284*t + 6207876738.\nAnswer: 2*(t - 167139)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -38.3. Let h = -5.1 + 5. Which is the biggest value? (a) h (b) z (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 6 = -2*o, -3*o = -1487*r + 1504*r + 13 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 8*p**2 + 9*p + 10. Let s be n(8). Let k(u) = -u**2 - 5*u + 17. Let h be k(-8). Let f = h + s. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 5. Let f be s(-5). Suppose -5 = -7*y + 23. Suppose -2*c = -0*c - 3*i - y, -4*c - i = -22. Put -2, f, c in descending order.\nAnswer: c, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20133)\/6*76\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0016 - 0.00159931. What is f rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*r - 387 = 2269, 5*r - 10 = 0. List the prime factors of b.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 83 + 4. Let c(i) = 0 + 2 - i**2 - 7 - 8*i. Calculate the remainder when r is divided by c(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 997*p - 994*p = 17*g + 167, 2*g + 16 = 4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, m: 2, t: 4, s: 2, o: 1, u: 4}. Give prob of picking 2 m and 1 t.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**3\/7 - 5354*z**2\/7 + 2837262*z\/7 + 149416470 = 0.\nAnswer: -245, 1461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*g**2 + 63*g**3 - 37*g**2 + 19*g**2 - 3*g - 3*g**3 - 1 as u*g + a*g**2 + w*g**3 + z and give w.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42131 - -42161. What is the third biggest value in 0.114, -0.2, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57040 and 640320?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -20. Calculate the remainder when 22 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-27)\/6)\/((-2)\/4). Let o = j + -7. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/3*12\/(-14). Let f be u\/(-8) - (-5025)\/20. Let y = f + 41. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -29*y - 24316*y**2 + 8109*y**2 + 8108*y**2 + 8100*y**2 + 204. What is r(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2184 divided by -1?\nAnswer: -2184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/(1 + 6)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14183 and 416?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 1 + (24 - -1). Let u be -2*6\/(48\/(-20)). Solve 5*w - u*d = -s, 3*w + d = 3*d - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/17 (b) 2\/5 (c) 96 (d) -175\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 3*n - 50. Suppose -n + 46 = 3*t. What is the highest common factor of t and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 432013 or 0.26?\nAnswer: 432013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.2335 rounded to one decimal place?\nAnswer: 27.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**2. Let k(f) = -7*f**2 - 13. Give i(k(g)).\nAnswer: -147*g**4 - 546*g**2 - 507","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogfg when four letters picked without replacement from {q: 10, l: 1, g: 3, o: 1, f: 4}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 2*b + 5, 4*b - b + k + 10 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7050402042247\/24 + -293723229239. Let s = t - 43530719. Let d = s - -8199. Find the common denominator of d and 37\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1. Let o = 0.3 - i. Let l = 1 - 0.5. What is the nearest to -1 in o, 0.2, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -2 - (-3 - 2 - -4). Let b be (-1)\/(-3) + 46\/(-66). Which is bigger: b or m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -466 or -21.1862?\nAnswer: -466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22321 and 5304520.\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.1*-1.23.\nAnswer: -2.583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6927584 and 17318960?\nAnswer: 34637920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 216050, 216318, 216754, 217352, 218106, 219010, 220058, 221244?\n\"Answer: -l**3 + 90*l**2 + 5*l + 215956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (3\/(-10) - (-6)\/45)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 25581 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence teee when four letters picked without replacement from {e: 4, z: 2, t: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -125\/3 + 1\/3*n**4 + 50\/3*n + 20*n**2 + 14\/3*n**3 = 0. What is n?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 0*k - 2*k)*(-k + 2*k + k) - 105*k**2 - 100*k**2 + 2*k**2.\nAnswer: -207*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2992723 is divided by 283.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ho when two letters picked without replacement from oootohoohhphppphp?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*l + 86*l - 1775 = 139*l. Suppose -504 - 308 = -4*h. Calculate the remainder when h is divided by l.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3013, 3, -3, 57, -7 in increasing order.\nAnswer: -7, -3, 0, 3, 57, 3013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-20) + 4\/10. Let f = -1 + 2. Which is smaller: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2596784.\nAnswer: 2, 17, 9547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 + 80*r - 11. Let o be d(14). Let l = o + -493. What is the remainder when l is divided by 35?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -39*t - 5. Let y be m(-1). Let k = -32 + y. Suppose -36 = -2*j - 3*q, k*j + 2*q = 33 - 1. Calculate the greatest common factor of 156 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smf. What is prob of sequence fm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3137075 months in millennia?\nAnswer: 0.000109475625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + -20?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172330 is divided by 57436.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 - 2*c**3 - 5*c**3 - 4 - 7*c**3 + 2*c - 11*c**3 + 23*c**3.\nAnswer: -2*(c - 2)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*q - 4 = -6*r, -4*r + 16 = -5*q. Let w be 28\/(-5)*(-15)\/6. Solve -r*o + w = 2, -3*o = -2*i - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -3. Suppose -q*y + 103 - 35 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 6*l - 2. Let b be d(-6). Let t be (-4 + 5)\/(b\/4). Which is bigger: t or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 45\/4 of a gram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, x: 1, g: 3, m: 1}. What is prob of sequence gsxs?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -399.27 + 394.27. Let g = -0.7 - -1. Let j = g - 0.5. What is the closest to j in x, 3\/4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04 + 0. Let i = -0.04 + z. Let o = 33.8 - 32.8. Which is the closest to -0.1? (a) i (b) o (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15777806 or -15777805?\nAnswer: -15777805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7368761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 418750 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 8 - (-27 + (11 - -5))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -22. Let z = 25 + -9. What is the remainder when z is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10127\/6 + 15250\/9. Calculate the common denominator of x and 26\/(-65)*198\/8.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1290528*-53.\nAnswer: -59.8397984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 6*n**2 + 7*n + 9. Let w be t(-6). Let u be 8\/(-3)*w\/(-22). Sort 5, u, -2 in increasing order.\nAnswer: u, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*m**3 - 365*m**2 - 90*m.\nAnswer: -5*m*(m + 18)*(4*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = -d. Let b be (0 - 2)\/(-4 - -5). Put d, 3, b in ascending order.\nAnswer: d, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 (base 15) in base 10?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-70)\/21*5?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1001 bigger than -1003?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*x + 1 + 19, 0 = -5*v + 2*x + 34. What is the least common multiple of 1\/(-2)*(1 + -5) and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -29*s - 4. Let b(x) = 44*x + 6. Give 5*b(m) + 8*q(m).\nAnswer: -12*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 4862800 to the nearest one hundred thousand.\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/12)\/(25\/(-15)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22361?\nAnswer: 59, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18313?\nAnswer: 18313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 + 31 + 27*p + 28 + 19.\nAnswer: 27*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1125)\/(-9) + 0 + 1. Suppose 0 = -3*z, s - 2*s + z - v = 0. Let y = s + 231. What are the prime factors of y?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 365433 and 176628.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 310159215.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1035960*c - 51503.\nAnswer: 1035960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t**2. Let q(a) be the second derivative of -13*a**3\/6 - 11*a. Determine k(q(h)).\nAnswer: 845*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 460424992 to the power of 1\/3, to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a**2 - 26*a - 23. Let p be w(8). Is 17 a factor of (p + 21)\/(9\/30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 150647?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6121 - 3588. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 932*d + 797*d + 873*d - 3134*d.\nAnswer: -532*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1131 and 10347.494206?\nAnswer: 11478.494206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-11) - (-180)\/(-385). Let k be -1 + 3 - (-4 + 207). Let y = k - -1002\/5. Which is the closest to y? (a) -1 (b) 0.2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w + 6*w - 3*w + (0*w + w + 0*w)*(-3 - 3 + 5) + 2 - 2 - 4*w)*(2*w + 2*w - 2*w) in the form a*w + v + z*w**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 12:41 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.577 - -0.57371. What is i rounded to 4 decimal places?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -28064 (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/2)\/(4 - 3). Which is greater: r or -8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + -2. Let y = u - -2.96. Is y less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*s, -5*q = 3*s + 16 - 78. Suppose -q*b = -21*b + 112. Calculate the smallest common multiple of 4*(1\/1 + 2) and b.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -511 (base 9) to base 15\nAnswer: -1ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnbngqqnnkkqnxnbq. What is prob of sequence bkgk?\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 106744669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(24\/(-240)*25)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 + 8*s + 1. Let c be 84\/(-20) - 8\/(-40). What is g(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 133. Let v = z - -125. Calculate the remainder when 32 is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9 + -12)*(1 + 0). Put -2\/5, k, -69 in descending order.\nAnswer: -2\/5, k, -69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**8\/1176 + s**7\/735 + s**6\/210 - s**5\/105 - s**4\/84 + s**3\/21 + 7*s**2. Factor y(f).\nAnswer: -2*(f - 1)**3*(f + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 2*o**2 + 3*o - 3. Let f be b(3). Let j(d) = -890*d + 9791. Let t be j(11). Put t, 5, f, -44 in decreasing order.\nAnswer: 5, t, f, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*a + 43 = 2*v, 25 = -5*a. Let c = v - 8. Suppose y = 1, 5*u + 2*y - 4*y - 823 = 0. What is the highest common divisor of c and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100 (base 11) to base 15.\nAnswer: -66c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 210103313133?\nAnswer: -210103313131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -142.4472?\nAnswer: 56.97888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*x + i, -1 = 2*x - 0*i + i. Let r = 53 + x. Is r + 1 + (0 - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 132045.285 to the nearest one hundred.\nAnswer: 132000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -0*s - 33. Let h = s + -6. What is the remainder when 9 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -13*y**6\/6 - 3*y**5\/5 + 7*y**3\/3 + 4*y**2 - 114. Find the third derivative of n(g) wrt g.\nAnswer: -780*g**2 - 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 11*f - 9 = 0. Suppose j = -2 + f. Solve -j = -r + 2*t, 4*r - 2*t = -7*t + 17 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 9*g = -5*k - 20093, k = -1. What are the prime factors of g?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * -0.3\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*j = -221*j + 354348. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1, 5, 39, 119, 263?\n\"Answer: 3*d**3 - 4*d**2 - 3*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0, -970.\nAnswer: -970, -12, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6.8, -465, -3, 3\/8 in increasing order.\nAnswer: -465, -3, 3\/8, 6.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 123, 614, 1957, 4578, 8903?\n\"Answer: 71*d**3 - 6*d + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12f (base 16) in base 15?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*r**6 - 31*r**2 - 4305*r**3 + 4305*r**3 wrt r?\nAnswer: 600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7448 - 7445. Which is the fourth biggest value? (a) y (b) -3\/14 (c) 2\/9 (d) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-781)\/(25\/100*(0 + -2))?\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 80634.71 from 0.3.\nAnswer: -80634.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.66360901 to 3 dps.\nAnswer: -0.664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + x = -3*f - 9, -2*f - x + 11 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhphbbppbbopwottpbo. What is prob of picking 1 h and 1 p?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1.4 (b) 0 (c) 0.05 (d) -55665\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 257 + -254. Solve -7*v + y - 10 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4 and -56.\nAnswer: 78.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10210111110212112 - 10?\nAnswer: 10210111110212102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -36 (b) 0.1 (c) -4.8 (d) -0.1 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 * -10661180.\nAnswer: -223884780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 115\/6 - 1271\/66. Which is greater: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 29355*i**2 - 29359*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 170*q**3 + 1871*q**2 + 12*q + 16. Give b(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k**2 - 5*k**3 - 4*k**2 + 4*k**2. Let b(u) = 14*u**3 + 2*u**2. Let d(t) = 15*t**3 + t**2. Let v(p) = -6*b(p) + 5*d(p). Determine -7*c(q) + 4*v(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -5*k**2 + 117. Let z(u) = 72*u - 1. Give s(z(b)).\nAnswer: -720*b + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 316*b*r**2 - 2*b*s + 10*r**2*s - 3*r*s + 7*r - 2*s wrt b.\nAnswer: 316*r**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 50, 5439, 1\/8, 12, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2970\/44)\/((-9)\/(-12)). Solve 15*p + g = -3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w + 109. Let b be 6696\/(-252) + 4\/7. Let g be p(b). Solve -g = -5*j, -j + 2 = 4*c - 11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 518223*w**2 - 3*w - 86830.\nAnswer: 1036446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (111\/(-370))\/(12\/8 - 1)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 63*g - 1492968 + 1494480 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byy when three letters picked without replacement from ybbby?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/8)\/a*a**(-4\/5)*a)\/(a**(-8)\/(a**(-7)\/a)) assuming a is positive.\nAnswer: a**(-17\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25066 and 1510.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -0.1 (b) 2\/31 (c) 0.1 (d) -0.2499 (e) 8\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 13133?\nAnswer: 1\/13133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84581522.\nAnswer: 2, 42290761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 35*j - 1 - 42*j + 20*j + 0. Does 6 divide u(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5723*n + 3380*n + 87*n**3 + 6021*n - 9*n**4 wrt n?\nAnswer: -108*n**2 + 522*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2959 divided by 2.\nAnswer: 2959\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -735290*n**2. Let i(d) = -3*d. Determine i(k(l)).\nAnswer: 2205870*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (33 - 80) + 45 - ((-4 - -2) + -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 - 60. Let y(w) = -w**3 + 5*w + 3. Let h(u) = -u**3 + u**2 + 5*u + 4. Let g(f) = -4*h(f) + 5*y(f). What is g(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**3 - 4*b**2 - 7*b + 5. Let k be v(4). Let x be ((-6)\/k)\/((-4)\/(-20)). Put 0, 4, x in ascending order.\nAnswer: x, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w. Let f(r) = -3*r**2 + 106028*r. What is b(f(v))?\nAnswer: -6*v**2 + 212056*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1700) + sqrt(1700) + sqrt(1700)*4 + sqrt(1700) - sqrt(1700))**2.\nAnswer: -480*sqrt(17) + 61216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/83923536 and -87\/22.\nAnswer: 923158896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -245 + 239. Let u = -16 + 20. Let j be (2\/u*-3)\/(x\/8). Solve g - 1 = r, j*r + 2*g = r + 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 688991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 23. Find the second derivative of -j*u + u**5 - u**5 - 3*u**5 wrt u.\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124194654 divided by -18?\nAnswer: -6899703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -16*v**3\/3 + 2*v**2 + 2*v - 2. Let o be s(-3). Is 3\/15 + o\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**2 - 33*l + 8. Let r be x(-11). Suppose 0 = -3*c - 2 + 20. Let t be (r\/(-186))\/(c*(-3)\/27). Does t = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23245 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -695 - -694.699. Let w = 0.30563 + c. What is w rounded to 4 dps?\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*o - 23 - 115 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56808 + 160325 = 165*q - 59998. What is the remainder when q is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*k - 9*k - k)*(-3 + 1 + 0) + 2*k - 4*k + 4*k)*(-2 + k**2 + 2).\nAnswer: 18*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**3 - 130*j**2\/3 + 461*j\/3 - 60 = 0.\nAnswer: 4\/9, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07 + 0.17. Let n = -0.2 - -3.2. Let h = 2.9 - n. What is the nearest to h in 0.2, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/(-3))\/(47209\/(-183282)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-548225)\/155 - 14\/217)\/((-1)\/3).\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14.721 - 0.021. Let j = -15 + f. Which is the closest to 0? (a) 2\/3 (b) j (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1598, 3152, 4654, 6104, 7502?\nAnswer: 8848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2233535586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(91)*2 + sqrt(91))\/sqrt(7))**2 + -4 + -5 + (-2*sqrt(208) + 3 + -2*(sqrt(208) - (sqrt(208) + 1)))**2.\nAnswer: -80*sqrt(13) + 967","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230332312003 (base 4) to base 6.\nAnswer: -1100423231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1546*q**2 + 2*q + 7316.\nAnswer: -3092*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1955436 to the nearest integer?\nAnswer: 1398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/(1 - -2))\/(45\/(-30)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2*-1)\/((-23)\/161). Suppose 4*u + 5*n - 736 = 0, -943 = -5*u + 3*n + z. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 7*w**2 + 4*w + 15. Let c be a(6). Suppose -3*u + 2 = d - 1, -c*u = 2*d - 6. Put 4, d, -1 in increasing order.\nAnswer: -1, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 1. Let o be x(-2). Differentiate 3 - o*z**3 - 2 - 2 - 5*z**3 wrt z.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.09 and -0.92.\nAnswer: -1.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -186 divided by 13?\nAnswer: -186\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 - -1373. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135 = -69*q - 555 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1065600 to the nearest ten thousand.\nAnswer: 1070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(4000) + sqrt(4000) + sqrt(4000))\/(sqrt(32)*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 325*t**2 + 8367*t - 3149. What is l(-349)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 151 and 3 - (-10 - -2) - (19 + -15)?\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -678*v + 46 = -655*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 20\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 5*n + 24. Let g be d(8). Let a(v) be the second derivative of 8*v - 7*v**2 + g + 4\/3*v**3. Differentiate a(q) wrt q.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4821 + -102. What is the thousands digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -143 * 0.214977.\nAnswer: -30.741711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 5*w + 3 - 78 + 74 + 1.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -9*d + 2. Let q(m) = -198*m + 45. Let z(h) = -45*n(h) + 2*q(h). Let y(t) = -t. What is z(y(p))?\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-15) + 1034\/55. Solve -1 = -4*k + m for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28538 + -17012. Does 102 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18704 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a - 12 = -25 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25455.4723 rounded to the nearest one hundred?\nAnswer: -25500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t**2 - 197*t + 2262. Determine l(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.24 - 0.24. Let w = 0.2 + 0.3. Which is the third smallest value? (a) 0.3 (b) w (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16084422 to the power of 1\/2, to the nearest integer?\nAnswer: 4011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*a**4 - 1032*a**3 + 21859*a**2 + 3*a wrt a?\nAnswer: -456*a - 6192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2471*p + 3 - 1553*p - 1249*p to f*p + z and give f.\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 11*l = 16. Which is smaller: l or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 456 - 438. Let s(i) = 16*i - 49. What are the prime factors of s(l)?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 9:46 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -0.2 (c) 1\/6 (d) 4 (e) 0.006\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9\/1046 - 63163\/168406. What is the common denominator of 37\/161 and v?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-4))\/((-27)\/24). Let f = 172 - 109. Let u = f + -129\/2. Which is the second smallest value? (a) u (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -8. Let f(z) = 2*z**3 + 4*z**2 + 5*z**2 - 8 - 2*z - 3*z**2 - z**3. List the prime factors of f(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9934*b**4*s**2 - 6*b*s**2 + 42*s**2 - 105*s wrt b.\nAnswer: 39736*b**3*s**2 - 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 0*y + 4 - 2*y**2 - 1\/4*y**4 + 5\/3*y**3. Let k = 9924 - 9921. Give l(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0738 + 22466214\nAnswer: 22466214.0738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 274*i**4*q + 7*i**2*q - 17*i**2 wrt i?\nAnswer: 6576*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 11)\/(-5)*(-1)\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 55464115?\nAnswer: 221856460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*c, -2*c = -c - 2*o - 7. Suppose l - 9 = -2*l + 2*x, -2*l + 7 = -x. Put -2, l, c in increasing order.\nAnswer: c, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 - 11*g + 0*g**3 + 12*g + 3*g**2)*((-3 + 2 + 0)*(4 - 4 - g**2) - 1 + 1 - 2*g**2 + 18*g**2 - 18*g**2 + 23*g**2 + 8 - 8 - 5*g**2).\nAnswer: -17*g**5 + 51*g**4 + 17*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 + 0*y**3 + 139*y + y**3 - 8*y**4 - 151*y to d*y**2 + x*y**3 + z*y**4 + b*y + r and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 105513 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f + 9. Let g be d(-2). Solve -5*j = -6*j + g for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j + 2 - 7*j - 9*j - 6*j to the form d + q*j and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 2*n**2 - 5*n - 6. Let t be s(-1). Put t, -46, -5 in descending order.\nAnswer: t, -5, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17486*b*w**3 + 6*b*w**2 - 106*b - w**2 + 3*w wrt w.\nAnswer: -104916*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 4*a - 219 - 49, 0 = 3*a + 12*n - 9*n - 198 for a.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8*1\/4*4. Let q(g) = g**3 - 8*g**2 - g + 5. Let t be q(w). Put -1, t, 2 in decreasing order.\nAnswer: 2, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 311530?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 67*z - 349. Determine u(-71).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is e4e (base 15) in base 10?\nAnswer: 3224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19928, 37887, 55846, 73805, 91764?\nAnswer: 109723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -22 - 6?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 241457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 310 = 4*c + 326, 5*n + 2*c = -15 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1352645 and 96285.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1577?\nAnswer: -1577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*m - 12, 5*z + 4*m - 20 = 7*m. Suppose 3*s = z*s - 1098. Calculate the remainder when 95 is divided by s\/45 - (-4)\/(-10).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1740299541 to the power of 1\/3, to the nearest integer?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/371843 or 178?\nAnswer: 6\/371843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31119757?\nAnswer: 211, 147487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 5*f + 1205 = 0. Let o be f\/1*8\/(-8). Let w = -160 + o. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 177 = n - 179, -3*n = 4*m + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 + 2*z - 1. Let j(s) = 5*s - 354. Let b(l) = -11*l + 767. Let g(f) = 6*b(f) + 13*j(f). Give -g(v) + x(v).\nAnswer: 2*v**2 + 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 u when four letters picked without replacement from {v: 11, u: 9}.\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 876 divide 630999444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 262064 (base 8) to base 9\nAnswer: 148070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -r - 3*h, 5*h + 32 = 2*r + r. Let m be (-1)\/(27\/(-6) + r). Solve -s - m*s = -4*j + 5, 9 = 4*j + s for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/18*(-57512)\/(-5135)*10\/(-4)\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rt when two letters picked without replacement from pjpttppptrptpffr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microsecond in nanoseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76 - -136. Is 20 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6098 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: What is prob of sequence ffz when three letters picked without replacement from zzffzfzzzffzzfzf?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 9*t**6\/10 - 5*t**2 + 24*t - 1. Let z(l) be the first derivative of f(l). Find the first derivative of z(d) wrt d.\nAnswer: 108*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z\/(z**24*z))\/z)*z)\/z**(-21))\/((z\/((z\/(z*z**(1\/53))*z)\/z)*z)\/z**39) assuming z is positive.\nAnswer: z**(4504\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-30)\/10)\/(1\/3). Let s = 184 - l. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1397677 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17129 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83401897.\nAnswer: 43, 257, 7547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -912*l + 444*l + 456*l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.25039 seconds to microseconds.\nAnswer: 8250390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (73\/7008)\/((-52)\/(-156))?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5798 divided by 446.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7895*i**3 + 120*i - 45 wrt i?\nAnswer: -47370*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4 - 42*q**3 + 390*q**2 + 13858*q + 79092.\nAnswer: -2*(q - 18)*(q + 13)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.155 - 0.111. Let l = -15.044 + q. Which is smaller: 5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10.7706, -2\/405, 5, 1?\nAnswer: 10.7706","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 136411 (base 10) in base 8?\nAnswer: 412333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1395 + -1381. Let q be 76*1 + (-2)\/(-2). Let r = q - 49. What is the highest common divisor of r and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 2*m = 0. Let a be m + 57 + 3 + -7. Suppose -u = -2*w - 52, -u = -4*w + 3*w - a. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 942014 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*p - 10, -3*q + 2*p + 15 = 5*p. Let x = -70 - -72. Let n = -1.9 - -2. Which is the closest to n? (a) 2\/11 (b) x (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 w when three letters picked without replacement from {c: 6, w: 7}?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 388*x - 383*x = 40, -2*o + 6 = -x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 693761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 11:24 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/20 - 2\/1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 3*f + 46, 108372*f - 108375*f - 49 = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -22.94 (b) -3\/8 (c) -2\/21 (d) 2.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**3\/6 + 4*h**2 + 9*h. Calculate t(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 58892.\nAnswer: 294460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(85)\/sqrt(5) + 5 + -3 - (5*sqrt(255)\/sqrt(5) + sqrt(51))\/(sqrt(12)\/sqrt(4)*-3 + sqrt(3))) + 3.\nAnswer: 5 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (25 + -15 + 2 - (8 + -2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 + 61. Suppose 0 = 2*t + 2, -4*o - 1 = 5*t + y. Is (-3)\/2*16\/o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 5*m**2 - 9*m - 11. Let a be t(-6). Suppose b - 24 = 11. What is the highest common factor of a and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggrrrrrrrryry. Give prob of picking 3 r and 1 g.\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j**2 + 10*j + 11. Let f = -5 - 8. Let u = f + 18. Let c be 14 - u\/(10\/6). Let g(d) = d**2 - 2*d - 2. Give c*g(n) + 2*p(n).\nAnswer: n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-10))\/(3 - 64\/20). Let n(d) be the third derivative of 0*d**w - 1\/60*d**5 + 0 - 3*d**2 + 0*d + 1\/24*d**4. Factor n(a).\nAnswer: -a*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1327 + -1271. Which is smaller: h or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z + 274*z**4 + 2*z**2 - 2*z**3 - 5*z**3 + 5*z**3 - 273*z**4 in the form h*z**3 + y*z**2 + f*z**4 + v*z + b and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6064.3 - 6064. What is the closest to 0.2 in -5, 1.02, c, 1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54164\/105 - 3575\/7. Let l be (-667508)\/240 - 3 - 3. Let x = 11129\/4 + l. What is the common denominator of m and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -35.4. Round r to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*l + 5*l - 13*l + 355*l**3 + 36*l**3 as i*l**2 + q*l + f + v*l**3 and give v.\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2 - f + 1. Let q be d(1). Let l = -5 - q. Suppose 27*a - 215 = -16*a. Put a, l, 1 in decreasing order.\nAnswer: a, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111064235?\nAnswer: 5, 71, 312857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -699.3 + 0.376.\nAnswer: -698.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/133 and -67\/2166.\nAnswer: 15162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 553613654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-5)*(20\/6)\/1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 0, -3, 1, 3.\nAnswer: -3, 0, 1, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191335532 is divided by 58.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 274.0052 millilitres to litres.\nAnswer: 0.2740052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnrbjpppppnjrj. What is prob of picking 1 b and 1 n?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2103807 to the nearest integer?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, n: 1, q: 1, y: 2}. Give prob of picking 2 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 362744915*m - 1425586598 with respect to m.\nAnswer: 362744915","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.6 + -236.4. Let d = w + 244.531. What is d rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4397?\nAnswer: 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 24, 264, -1 in decreasing order.\nAnswer: 264, 24, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.8 - -8.8. Sort -23, p, 0.5 in decreasing order.\nAnswer: p, 0.5, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -945 divided by -6?\nAnswer: 315\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*a**3*y - 2*a**3 + 7*a*y - 418*a wrt y.\nAnswer: 11*a**3 + 7*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**3 + 4*n**2 + 2*n - 3. Let x = 97 - 24. Let u = 77 - x. Suppose -u*v + 41 = 29. What is d(v)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h**2 + 6076*h + 363096 = 0. What is h?\nAnswer: -54, 1681\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c + 3. Let n(v) = -4*v + 2. Determine 4*n(k) - 6*t(k).\nAnswer: 2*k - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/6, 138, 0.2 in ascending order.\nAnswer: -1, 1\/6, 0.2, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.07 and -949108436.\nAnswer: -949108435.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + d + 10, a = -5*d + 2048 - 2060 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r - 17. Let q be o(-8). Let p be -4 - (q + 1 + -4). Suppose p = 3*x + 2*z - 4, -3*x - 4*z = -6*z + 4. Solve 0 = 2*i - x*i + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 944*i - 108*i + 1809*i to b*i + q and give b.\nAnswer: 2645","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 474034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-564)\/(-7))\/((48\/(-63))\/(-8)).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 477643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8 - 800*i + 37*i**2 + 39*i**2 - 8 wrt i?\nAnswer: 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -3, 1\/22, 373, -2?\nAnswer: 373","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39 - ((3 - 8) + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/18*-6)\/((36\/(-54))\/(4\/(-6)))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + m - 4*m - m + m - 2*m + (-4 + 0 + 5)*(-103 + 103 + 12*m))*(7*m - 3*m - 2*m).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 20 = -0*s. Suppose -s*q - 2*z - 3 = 5, 0 = 3*q - 3*z + 6. What is the nearest to q in 0.2, 0.5, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 211 and -66915.\nAnswer: -14119065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 143817*6\nAnswer: 862902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -2285 in increasing order.\nAnswer: -2285, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by -420239\nAnswer: -35\/420239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1169, -732, -11, 994?\nAnswer: 2283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = 15*w + 106. Find the common denominator of (272\/32)\/(w\/10) and ((1035\/12)\/(-5))\/(-3).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from tvxv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3098*k + 3067*k = 124 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -f + 7, 0*f - 2*f = 4*h - 20. What is the units digit of (-414)\/f*8\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -22?\nAnswer: -13\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -0.5, 8, -813\/50, 1 in descending order.\nAnswer: 8, 2, 1, -0.5, -5, -813\/50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98461073.\nAnswer: 191, 193, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9818 - -38833\/4. Let v = 108 + u. Let f = 1 - 2. Which is smaller: v or f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -965.108073938 + 67.108074712. Let v = l + 898. What is v rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - x. Let s(i) = 8*i**2 + 6*i. Suppose 3*w + 0*c - 3*c = -6, -5*w - 5*c = 50. Let q(f) = w*j(f) - s(f). Let z(a) = -2*a**2. Determine q(z(p)).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1454205 and 872523?\nAnswer: 4362615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 2*f - 123. Let q = 53 - f. What is the fourth smallest value in 0, 4, -6, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfciffcififii. What is prob of picking 2 f?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 5. What is the remainder when 58 is divided by -10*(f - (-1 - -4))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-40)\/(-2)*(-2)\/(-4). Let r = 6 - y. Which is the nearest to -1? (a) -1\/8 (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -44) + -29 + (-25 - -1)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*r - 10 - 22 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 6*y**3 - 3*y**2 + 5*y + 22. Let c(j) = -23*j**3 + 11*j**2 - 19*j - 87. Determine 3*c(o) + 11*z(o).\nAnswer: -3*o**3 - 2*o - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 15) in base 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + 5*y + 7, -5*y + 533 = -2*h + 534 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 6*o**2 - 67*o + 103. Give x(7).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-10) - (-2)\/((-70)\/(-119)). Let h(y) = -y**2 - 4*y + 7. Let s be h(-5). Suppose s*r + r = 0. Solve d + r = l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w + 150. What is y(-19)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-90)\/(25\/(-5) + 186\/38)?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/87)\/(((u**14\/u)\/u)\/u))\/(u*u**4)**(-2\/31))**45 assuming u is positive.\nAnswer: u**(-432885\/899)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**2 + 90*j**4 - 88*j**4 + j - 2*j**3 - 2*j**2 + 1 as y*j**3 + a*j**2 + x + c*j**4 + m*j and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (160\/220)\/((-1 + 2)*5\/(-5))?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 6*i**2 - 8*i - 1. Let z be s(8). Suppose 0 = 75*g - z*g - 636. Put 1, 5, g in increasing order.\nAnswer: 1, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 195? (a) 5 (b) 1 (c) -5 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 66*i - 67*i + 38795. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*g + 22*g + 25*g + 5*g**2 - 41*g**2 + 51*g as l*g + i*g**2 + z and give i.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x = -5, -5*q + 459 = -x. Is (-7)\/(88\/q + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -4 - 0 - 1 - -4) + -12\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -912751\/29 and -31474 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = -5*k - 3*n - 5, 0 = -4*k - 5*n - 45 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18985746 by 13.\nAnswer: 1460442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**2\/15 - 249876*c\/5 + 5247298\/15 = 0.\nAnswer: 7, 374807","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33794.8529792 + 33699.853. Let l = -95 - w. What is l rounded to 6 decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 259\/(-2) + 3 + (-21)\/6. Calculate the common denominator of -103\/6 and (5\/(-75))\/(4\/k).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -836*j = -841*j - 5. What are the prime factors of ((-8)\/(-6))\/(j\/3) - -318?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**3 + y**2 - y - 2. Let r(z) = -z**3 - z**2 - z - 1. Let j = -2 + 3. Let l(b) = j*c(b) - r(b). Calculate l(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 141118948312 and -0.7.\nAnswer: 141118948311.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(-1\/5))\/w**(11\/4) assuming w is positive.\nAnswer: w**(-11\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j - 3. Let s be d(-2). Let f = 0 + s. Suppose -2*h = -7*h + f, -m + 9 = h. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 239282136?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1002)\/44 - (43 - 15345\/363))*-2.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*n**2 + 6*n - 6*n)*(8*n - 2*n + 4*n)*((n - 2*n - 2*n)*(5 - 1 - 2) + 5*n - 4*n + 3*n) + n - n - 2*n**4 + (3*n**3 - 4*n**3 - n**3)*(2*n + n - 5*n).\nAnswer: 142*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*b - 51. Let d = b - -24. Let v = -4 + d. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (26448\/(-377) - -70) + (-126)\/(-52)*-2. Put -629, 7, q in descending order.\nAnswer: 7, q, -629","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 3*p**2 - p**4)*(3*p + 2*p - 3*p - 6 - p + 6 + 0*p + 3*p - 2*p + (-3*p + p + p)*(3 + 3 - 4) + 22*p + 34*p + 75*p).\nAnswer: -131*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97017173 to the nearest integer?\nAnswer: 9850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = 5*p + 4*g + 27, 24 = -4*p - 4*g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, 128, 130, 132, 134?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h**3 + h**2 - 3*h - 2. Determine b(-2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**3 + 103 + 2*b**2 - 74 - 31 - 2568*b in the form y + t*b + z*b**2 + f*b**3 and give t.\nAnswer: -2568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 + 5. Let m be v(0). Suppose -4*t = -m*t + 15. Let y(c) = -c**2 - 7*c - 6. Let z be y(-5). Solve -z*s = -7*s - t for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 4*c - 28*x - 38, -5*x + 4*x + 9 = -4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 2085.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11.9 * 8\nAnswer: 95.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 9 = 1. Let b(s) = 4*s + 6. Let m(l) be the first derivative of 1\/2*l**2 + l + 83. Calculate y*m(g) + b(g).\nAnswer: -4*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmaki. What is prob of picking 1 a and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2290*m - 458*m + 24266 = -374*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 76044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxzxz. Give prob of picking 4 x.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 1666 + 1664 = 0, -d + 5*a - 1245 = 0. Is -4 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6241732 + 19418008. Let q = x + -13176283.0000092. Let t = -7 - q. What is t rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.56 - -0.6. Let f = p - 1.04. Let n = -2424.9 - -2425. What is the nearest to f in n, 0.5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(0 - 75\/6). Which is the closest to -0.1? (a) 2 (b) o (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -45*t**2 - 4*t - 69. Let m(z) = 30*z**2 + 3*z + 46. Let l(n) = -7*m(n) - 5*p(n). What is the units digit of l(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*k = -32*k + 5632. Let b = k - -512. Solve -2 = s - b*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/412833 and 65\/1203.\nAnswer: 165546033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196 = -4*b - 53*m, 5*m + 0*m - 16 = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 - 35. Let d = -292 - -464. Let p = -170 + d. Solve -u*r + p = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-53 - (-130 - -26))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/(9\/6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -f - 12, -3*s - 2*s = 4*f + 13. Suppose -2*x - g = -x - 3, 2*g = -f*x + 8. Suppose x*b + 108 = 5*b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 69a3 - 4?\nAnswer: 699b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/11 in -3, -0.2, 6, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 7:34 AM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3760 is divided by 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 take away 1117?\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 724 and 59549?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 3*b - 3*r + 4 - 22, -7*b + r - 75*r = 7*r + 1180 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -358 divided by -358.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) -2\/9 (b) 0.1 (c) 255\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-60)\/35)\/((-2)\/(-21)). Let y = -278 + 21. Let d = y - -260. Put z, d, 4 in descending order.\nAnswer: 4, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 237 + -4a25?\nAnswer: -47ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -11. Let t = -55.9 - -52.9. What is the biggest value in -7, 2, t, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - -203312040?\nAnswer: 203312024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4425616 (base 10) in base 3?\nAnswer: -22022211210201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**4 - 55*r**3 - 484*r**2 - 1244*r - 1008 = 0?\nAnswer: -4, -2, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16, 18, 20, 22, 24?\n\"Answer: 2*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1841*d + f - 69 = -1825*d, -4*d - f - 11 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + x = 48. Let u be (x\/50)\/(10\/(-25)). Let t = 10 - 6. Which is the third smallest value? (a) t (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 3*j**2 + 4*j - 2. Let x be c(2). Suppose -x*h = 2, g - 10 - 7 = -2*h. List the prime factors of g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, r: 1, l: 1, k: 1, v: 1}. What is prob of sequence lvk?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1609 divided by 85?\nAnswer: 1609\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68 - -73. Solve -z*j = 5*f - 16 - 24, -5*j + 20 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, y: 1, v: 1, n: 2, s: 1, k: 1}. Give prob of sequence vy.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.26 + -0.16. Which is the biggest value? (a) 23 (b) u (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 22. Let k be 2\/d - 188\/(-36). Suppose 19 = 3*a + v, -v = a - 0*v - k. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + (sqrt(1872) + -1 + sqrt(1872) - sqrt(1872)) - sqrt(1872)) + sqrt(13))**2 + -2.\nAnswer: -26*sqrt(13) + 2196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**2 - 51 - 30*s**4 + s**2 - 12*s**2 + 29*s**4 as t + d*s**4 + m*s + y*s**2 + o*s**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1921853069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 12 = 2*i - 51, 2*i = 5*s - 0*s - 11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 141 - 427 = -5*u, -5*p - 214 = -4*u. Suppose 376 = 6*a - u. What is the least common multiple of 3 and a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5304 and 16?\nAnswer: 10608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 458 (c) -1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f**5\/5 + 1944*f**4\/5 + 10212*f**3\/5 - 29398*f**2 + 85020*f - 75600 = 0 for f.\nAnswer: -12, 5\/2, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57275297 divided by 1547981.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -1 + (-1 - -7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4 + (sqrt(1008) + 2 + -4 + sqrt(1008) + sqrt(1008)*-2 + -1)*-2 + 2))**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9781 - -9790.666. Round v to 1 decimal place.\nAnswer: 9.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-22 - (22 - (18 + -5)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*s + 4*l + 24, 0 = s - 4*l - 1. Let k = s + 12. Differentiate 0*g + g + k + 5*g with respect to g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -161\/29984?\nAnswer: -161\/29984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 3:31 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.187482436 to 2 decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 36\/7, 13 in descending order.\nAnswer: 13, 36\/7, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2)**(-19\/3)*u**(-4)*u*u\/((u\/u**(-10))\/u) assuming u is positive.\nAnswer: u**(-74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -197*n**3*w + 70*n**3 - 388734*n**2*w wrt n?\nAnswer: -1182*w + 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4519987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 289 + -91. Calculate the least common multiple of k and 72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -122.\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 23 + 18)*(3*b + 4 - 4)*(-9 - 11 + 7)*(b + 0*b - 2*b)*(b - 4*b - 3*b) in the form p + d*b**3 + t*b**2 + z*b and give d.\nAnswer: -7488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*j**3 + 13 + 11*j**3 - 13.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1387 + -5545\/4. Factor 3\/4*b**2 + 0*b + 3\/4*b**5 + 0 - 3\/4*b**4 - y*b**3.\nAnswer: 3*b**2*(b - 1)**2*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*15\/48*46\/115.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, j: 1, w: 5, z: 6, u: 2}. What is prob of picking 1 z and 1 u?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.6 and 32786.\nAnswer: 32786.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 72?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**2\/8 - 6261*v\/4 + 289593\/8 = 0.\nAnswer: -4197, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 8*h**7\/105 - h**6\/120 - 23*h**5\/60 - 41*h**2 + 2*h. Find the third derivative of c(m) wrt m.\nAnswer: 384*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmpy when four letters picked without replacement from mhbphyh.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**4\/3 - d**3\/6 + 85*d**2\/2 + 84*d. Find the first derivative of x(y) wrt y.\nAnswer: -8*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6.685507 years?\nAnswer: 0.6685507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 10. Let s = -220047\/7 - -31595. Let t = 160 - s. What is the closest to t in 1, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14410562 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.192269698 rounded to 5 dps?\nAnswer: 0.19227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4171*h**2 - 230*h + 471*h + 220*h wrt h.\nAnswer: -8342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -145\/4 + 2395\/68. Let n = -48624712\/4157367 - 7\/163034. Let s = n - y. Find the common denominator of -47 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-11) - 433110\/20064. Let m = 472\/19 + i. Calculate the common denominator of -59\/2 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/24)\/(263\/(-526))*-428.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z - z + 0*z + (2 - z - 2)*(-1 - 1 + 5).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 30.53. Let w = -1.53 + d. Which is the smallest value? (a) -0.2 (b) -1\/6 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30873840 rounded to the nearest 1000000?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 55, 108, 161, 214, 267?\n\"Answer: 53*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -421798, -421784, -421760, -421726, -421682, -421628, -421564?\n\"Answer: 5*c**2 - c - 421802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35 - 64) + -78 + 43?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 2.35.\nAnswer: 7.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y**(-1\/3)\/y)\/y))**38\/(y**(-3\/4)*y*y\/(y\/y**1)*y)*y*y**4\/y*y*y**(1\/6)\/y*y*y*y*y*y**(-1\/2)*y*y\/y**4 assuming y is positive.\nAnswer: y**(1561\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/(t*t**(-13)))))**(-40))**(-3\/10) assuming t is positive.\nAnswer: t**156","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 994?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -2*k**6\/3 - 11*k**3\/6 - 21*k. Find the second derivative of f(u) wrt u.\nAnswer: -240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -351.\nAnswer: -702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 88*i + 2. Let r be o(0). Let -1\/3*k**4 + 2\/3 - k + k**3 - 1\/3*k**r = 0. Calculate k.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 674 = -p, 1 = -p - 3. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 65961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5490.86 rounded to the nearest ten?\nAnswer: -5490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 3*x + 19 = 0, -5*j + 37 = -9*x + 96 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -310945569*j**5 - 3*j**3 + 605927378*j.\nAnswer: -6218911380*j**3 - 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2546434659 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1824966*s**3 + 6*s**2 + 53346*s + 206.\nAnswer: -10949796*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = y - 2*y. Let d be (-2)\/1 - 1*y. Suppose -4*z = -d*z - 2. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2862 and 111038286.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.046846 - 0.02575. What is j rounded to 3 decimal places?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340316949.\nAnswer: 3, 7, 2473, 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-4 - -2 - -1) - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p\/p**(-4))\/p)\/p)\/(p**(-4)\/p))\/((p**(-5)*p)\/(p*(p\/(p*((p\/(p**(-4\/7)*p))\/p*p)\/p))\/p)))\/(p**(-1\/3)\/p**(-2\/17))**(-1\/3) assuming p is positive.\nAnswer: p**(13234\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/114, -12, -1.7, -277, 5?\nAnswer: -1\/114","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 674*m + 148*m - 69048 = 0 for m.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 4*y - f + 33, -35 = -5*y + 4*f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 160 = -5*q. Let l = -1 + 5. Suppose -q = -4*u - l. What is the highest common factor of u and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65393959?\nAnswer: 65393959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**(-1\/9)\/(r*r*r\/(r\/r**4)*r\/((((r**6\/r)\/r)\/r)\/r)) assuming r is positive.\nAnswer: r**(-46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99055743.\nAnswer: 3, 47, 702523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 16 = -3*o - 2*o, -k = 3*o + 8. Let h(t) = -373*t**2 - 7*t - 4. Let j be h(k). Let s be (j\/(-18))\/((-1)\/234). Round s to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15 + ((-1)\/(-1))\/(-1). Let r be 15*((-8)\/(-3) - -2). Suppose r = 4*m + m. Calculate the greatest common factor of m and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 8 + i**3 - 12 + 3*i**2 + i**2 - 2*i**2 + 2*i + 1. Let m be x(0). Which is the fourth biggest value? (a) 0.9 (b) m (c) 2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019 a factor of 26905676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 12*l - 24. Let n be z(-14). Suppose -4*v = -3*a - 8017, -2*a = -n*v - a + 8019. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 131725 and 34375?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 17, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 6. Suppose -4*r + j = 7. Calculate the remainder when 7 is divided by (-2)\/(-1*r\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = 9*h - 160 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256*((-2)\/((-40)\/(-75)) - (2 - 6)) is divided by (-133)\/(-4) - (-2)\/(-8)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -6*l. Let b(y) = -y**3 + 3*y**2 + 3. Suppose 2*o - 18 = -4*o. Let j be b(o). Let a(p) = 2 + p + 1 - j. Give -21*a(n) - 3*d(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o**2 + 63*o**3 + 9*o**2 - 2 - 40683*o + 40676*o - 17*o**3 to n + y*o**2 + u*o + l*o**3 and give l.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-14))\/((-984)\/(-1722))*28\/6.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**4*g**(-1\/7)*g**(-11)*g**(-1\/22) assuming g is positive.\nAnswer: g**(-1107\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 186.2209 litres in millilitres?\nAnswer: 186220.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*j - 159*j - 143*j + 9773 = 0 for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -16*i - 973. Let z be u(-61). Solve -3*r = z*x + 3, -19*x + 14*x - 19 = -2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 11*d**2 + 5. Let y be p(-11). Suppose -4*f - 4*s = 189 - 593, -y*s + 15 = 0. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3158751342.0001453 + 3158751723. Let y = 381 - l. What is y rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by (-7 - (-36 - -1))*1.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-382)\/7258 - (-1895)\/(-95)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/1 - 2) + -7. Let o be p\/(-14)*(-7)\/(-2)*80. Suppose 3*d + 30 = 5*d. Calculate the greatest common divisor of o and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i**3 - 39*i**2 - 36*i + 107. What is h(-3)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -894*c - 900*c + 3505*c - 830*c - 891*c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)\/(sqrt(3) - (sqrt(192) + sqrt(3))))\/(2*-2*sqrt(225)).\nAnswer: sqrt(3)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 5*d**2 + d + 3. Let v be g(5). Let w be 0 + (-258)\/(-10) + (-62)\/(-310). Let x = w - v. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13226532 and 29876.\nAnswer: 4268","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, z: 4, r: 2, d: 1, k: 2}. What is prob of sequence zfzd?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/66741983 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -581355 divided by 578\nAnswer: -581355\/578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**3 - 17*t**2 + 182*t - 1328. What is r(7)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x - 1. Let c be h(5). Let a be ((-7)\/7)\/(c + 1). Let u = 0.5 + -0.8. What is the biggest value in u, 4, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 19, 23.8, 4, 1, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35715 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 405 = -9. Let z = x - 67. Is z a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 2*l**2 - 7*l - 15. What is the units digit of t(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18212 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*9*114\/72*118\/(-177).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110110010100 (base 2) in base 7?\nAnswer: -46006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 2 - 66. Let a be -1 + 2 + 6 + -4. Suppose -5*f - 7 = 3, 4*s - a*f - 202 = 0. Calculate the remainder when s is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 547*w**4 + 309*w**2 + 669583*w - 669583*w wrt w.\nAnswer: 13128*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2387, 9593, 21603, 38417, 60035, 86457?\n\"Answer: 2402*q**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence il when two letters picked without replacement from {l: 1, o: 1, v: 1, i: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.007 times -1549.4\nAnswer: -10.8458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-four fifths of a decade?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - 3. Let q be w(-5). Let k = 41 - 122\/3. Let b be (8 - (1 + 0)) + -2. Put b, q, k in decreasing order.\nAnswer: b, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -183943, -367884, -551825?\nAnswer: -735766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -466 - -516. Let l be x\/(-84) - (-93)\/217. What is the nearest to l in -2, 2\/9, -0.1, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 536 + 36?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*r + 29*r = 15*r + 937572. Is r a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - b**2 - 22*b - 2. Let u be g(-4). Suppose -5*h + u*h = 3217. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -227 - -114. Let t = 567\/5 + q. Find d such that -2\/5*d**2 + 4\/5 - t*d = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f**3 - 22*f**3 - f**3 + 3 - 1.\nAnswer: -30*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 6*p - 34. Suppose 0 = -3*k + 46 - p. Suppose -c + 146 = k*a, 3*a - a - c = 76. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/4 - 23473*c**3\/2 + 35211*c**2 - 70423*c\/2 + 46949\/4.\nAnswer: -(c - 1)**3*(c + 46949)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 10*b + 2*b + 0*b + 0*b + b + (0 + 0 - 1)*(2*b - b - 3*b) - 2 + b + 2 - 1 + 1 - b)*(2 + 14 + 1) + (-2 + 3 - 3)*(4*b - 2*b - b).\nAnswer: -19*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 24351*i + 2. What is m(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1137 + -1136.9. Let g be (224\/42)\/(4\/6). Let q = -4.2 + 4. What is the second smallest value in g, q, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*t = -260*t - 5*j + 90, -45 = -3*j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 197\/3 - 66. Put 0.5, -2\/9, t in decreasing order.\nAnswer: 0.5, -2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164517149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2792.356kg?\nAnswer: 2.792356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjjpjppjjujpjjpjx. What is prob of picking 1 p and 1 x?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) 3 (c) 2\/221 (d) 0 (e) -0.2 (f) 41 (g) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1844)\/(-156740))\/((-2)\/34).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, m: 2, n: 2, y: 2, v: 2}. Give prob of sequence nhh.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/(-21)*(-23 - 1). Let p = h - -11. Let f(k) = -k**3 - 4*k**2 + 8*k + 6. Calculate f(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w**6 + 198566*w**3 + 84*w**2 + 2*w + 23?\nAnswer: -120*w**3 + 1191396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 58*l + 171. What is a(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/1990710 and 65\/144?\nAnswer: 15925680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, z: 5}. What is prob of picking 2 z and 1 b?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 100907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t - 1. Let p(r) = 2*r**2 - 2*r - 1. Let a(c) = f(c) - p(c). Let q(s) = 3*s**2. Determine q(a(j)).\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -9*w. Let c(d) = -8*d**2 + 7*d. Determine c(g(q)).\nAnswer: -648*q**2 - 63*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16, -17, 4, 65, 184, 379?\n\"Answer: 3*z**3 - 7*z**2 - z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3*1131\/3016.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 281 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 828 - 48. Calculate the greatest common factor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/12 - 0)*(40 + 5684\/(-140)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52799953*n**2*x**2 - 21083*n**2*x + 8885*n**2 + x**5 wrt x.\nAnswer: 105599906*n**2 + 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1532268 divided by -93\nAnswer: 16476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11502, 11503, 11504, 11505?\nAnswer: 11506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4768\/(-745) - (6 - 4)?\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 574275, -4, -12, 2, 4 in descending order.\nAnswer: 574275, 4, 2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v**2 - 74*v + 8. Let c(o) = -2*o**2 + 40*o - 3. Calculate 5*c(r) + 2*x(r).\nAnswer: -2*r**2 + 52*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-24)*2)\/((-5725)\/(-1000) - 6).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1286, -5, 1\/5, -1\/3, -4\/9, 0?\nAnswer: 1286","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 2*r + 3. Let y be o(2). Let f(m) = 13*m - 3. List the prime factors of f(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 1512 + 422 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3) - 2\/(-6). Suppose u = 4*x - 23 + 3. Solve 3*g - 2*q = -x + 15, -5*g - 5*q + 25 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**3 - 12*p**2 + 16*p - 66. Calculate l(5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1377000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -101111?\nAnswer: 101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -399 (base 14) to base 3.\nAnswer: -222210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 767*m - 232*m + 564*m to the form y*m + s and give y.\nAnswer: 1099","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7398 is divided by 1415.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 4*a - 17. Let j(b) = b**2 - 71*b - 553. Let l be j(-7). Determine c(l).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 1637*r - 29. Let j be x(2). Calculate the highest common factor of 110 and j.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnng when four letters picked without replacement from {u: 1, n: 3, l: 1, g: 1, w: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 37*t**2 + 53*t - 439. What is the hundreds digit of u(36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 777694*x - 1 - 777705*x + 1.\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 27\/4 of a micrometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1484974\/5 and 296994 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4136499\/68 - -60832. Find the common denominator of 121\/12 and m.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.1 + 1.9. What is the nearest to 4\/3 in 3, k, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 279 and -0.1.\nAnswer: -27.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**13\/s**(-17))**(-8\/7) assuming s is positive.\nAnswer: s**(-240\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 8*k + 6. Let g be x(7). Let n = 3 + g. Find the third derivative of -z**2 + z**2 - z**2 - n*z**5 wrt z.\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + 5 + (-42 - 2) + 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-2 - 19\/(-10)))\/(11 + 35950\/(-3250))?\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - (-4 + 0 + 0)) + (154 - 166)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 - 52*g + 517. What is l(16)?\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -1614*w + 1616*w + 21, 9 = -x - 2*w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3486 divided by -6\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 9*z - z + 2*v = 6, z - 200*v + 1226 = 222 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (-3 + (sqrt(304) - (sqrt(304) + 3) - sqrt(304)) + sqrt(304))*-5)*-4)**2.\nAnswer: 10816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 a when three letters picked without replacement from aaaawiriaiikirh.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -10. Suppose w + 56 - 147 = a*i, 3*w + 35 = -2*i. Let v = 43 + i. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2341, -3917, -4987, -5551, -5609, -5161, -4207?\nAnswer: -2747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 1:13 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200462.7 hours to minutes.\nAnswer: 12027762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 11. Let c be 1*(f - 2)\/(-1). Suppose x = -c + 40. Does 17 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018299213 to four dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -370445045 divided by 106297\nAnswer: -3485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23021000131 (base 4) to base 5.\nAnswer: 1221423402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 549925607 by -59.\nAnswer: -9320773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1162 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 614854.\nAnswer: 614854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -95, -97, -97, -95, -91?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.110346 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1338013 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fefeefneeenffeee. Give prob of picking 2 n.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*x = 28, -7*x = -q - 2*x - 1. Is 5 a factor of (-1)\/3 + (-32)\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1091 and 0.06465.\nAnswer: -70.53315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 937196 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 6. Let j be v(4). Let n = j - -12. Find the third derivative of -3*o**6 - 7*o**6 + o**n + 11*o**6 wrt o.\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*h**5 - 1090*h**3 + 20*h**2 + 98868*h + 46 wrt h?\nAnswer: 120*h**3 - 6540*h + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28.4278*-0.5.\nAnswer: -14.2139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/a**(-12)))*a**8)**18\/(((((a**(-1)\/a*a)\/a)\/a)\/a)**(2\/7))**(-1\/7) assuming a is positive.\nAnswer: a**(18514\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -29359 divided by -157?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -288 divided by -88?\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1552 - 21705\/14. Calculate the common denominator of -1 - (4 - (-265)\/(-100)) and k.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k + k + 0*k)*(-186 + 11 - 268)*(5*k**2 - 4*k**2 + k**2) in the form f*k**3 + j + c*k**2 + x*k and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5598*k**2 + 26 + 5283*k**2 - 4*k**3 - 19 in the form w + n*k**2 + s*k**3 + x*k and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/892848?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 239 - 236.81. Round f to 1 dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 d, and 1 t when four letters picked without replacement from {y: 2, s: 2, d: 5, t: 3}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4227443.8 rounded to the nearest one thousand?\nAnswer: 4227000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 1:18 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -56, -3, 2.\nAnswer: -56, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*l + 18 = 0, 9 + 6 = 2*c + 3*l. Suppose -5*z + 20 = 4*t - 3*t, 0 = -c*z - 2*t + 5. Suppose -k + z*k - 180 = 0. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 4 + 1)*(-736*u - 207*u + 242*u).\nAnswer: 3505*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(126)\/sqrt(2))*-3.\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z = -u + 15*z + 24, 0 = -2*z - 8. What is the remainder when -1 + (-1 - -2) + 45 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 94940 and 8.\nAnswer: 94948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 9:14 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 0 - 1\/80*s**6 - 2*s**2 + 1\/10*s**5 + 0*s + 1\/2*s**3 - 5\/16*s**4. Factor p(w).\nAnswer: -3*(w - 2)*(w - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t**3 - 25*t**2 + 38*t - 18. Let b(h) = 5*h**3 - 25*h**2 + 39*h - 19. Let y(j) = -3*b(j) + 4*r(j). Factor y(n).\nAnswer: 5*(n - 3)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-1.0634\nAnswer: 0.42536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 7*z = -4*a - 7, -a = -4*z - 22. Suppose -p - 4*f = -12, p + 28 = a*p - 4*f. Find the second derivative of -13*i - p*i**4 + 11*i**4 + i wrt i.\nAnswer: -108*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5 - (2 + -4)) + 78?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**4\/10 + 7*n**3\/10 + 17*n**2\/10 + 17*n\/10 + 3\/5 = 0. Calculate n.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -18*f + 3*f + 3*f + 3 - 8*f + 10. Determine s(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 356\/(-6) + 11\/((-33)\/2). Let q = 62 + b. Let o be 52\/(-2 + 3) + q\/1. Calculate the greatest common factor of 36 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1153 + -1151. Put 8, t, -3 in decreasing order.\nAnswer: 8, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 h when four letters picked without replacement from ddhbdbbdddhddddddd.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 52*k**2 - 3*k + 159. Let m be r(52). Factor 16\/9*g**2 - 8\/9*g - 10\/9*g**m + 0 + 2\/9*g**4.\nAnswer: 2*g*(g - 2)**2*(g - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44491006 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 74677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33482969861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 856735?\nAnswer: 856735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 27\/(-4)*96\/(-18). Suppose -x + 5*z + 9 = 2*z, 4*x - z = p. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 75179.82nm?\nAnswer: 0.00000007517982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 424*f**3 - 2*f**2 - 2*f - 26. Let b be q(4). Round b to the nearest 1000.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*s - 2794 = -586. Which is greater: -39 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2272338 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**3 - 4*c**2 + 268. Let y be v(0). Calculate the highest common divisor of y and 201.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -708, -222, 3, -5 in increasing order.\nAnswer: -708, -222, -5, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*x**4 + 4*x**3 - 18*x**2 - 7*x**4 + 10*x**4 + 14*x**2 to the form l*x**2 + z*x + u + t*x**3 + h*x**4 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21\/12515 or 1?\nAnswer: -21\/12515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7047342*r**5 + 999*r**2 - 3804*r wrt r?\nAnswer: 422840520*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 13. Let h be u(8). Let x(d) = -5*d + 2 - 7*d**3 - 3*d**2 - d + 3*d**3 + h*d**3. Determine x(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-40)\/(-60) + (2570925\/9)\/7?\nAnswer: 3, 61, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + (-172 - ((-7 - 30) + 0))?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 80*n**2 + 375*n - 7. What is u(-75)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, z: 3, y: 3, d: 2, i: 1, e: 2}. What is prob of sequence zy?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 35 times 183\nAnswer: 6405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 2*u**2 - 1. Let x be n(1). Let l = -192 - -193. Sort x, 4, 3, l in decreasing order.\nAnswer: 4, 3, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 1 + 68. Let t be 15\/(-30)*(0 + -540). Let g = t - 180. Calculate the remainder when g is divided by p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 5*n + 4114, 0 = -17*m + 12*m + 2*n + 10256. Let r = -2052 + m. Factor 4\/3 - 2\/3*l**3 + r*l**2 + 2*l.\nAnswer: -2*(l - 2)*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence we when two letters picked without replacement from {e: 1, w: 4, t: 1, z: 3, g: 6}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24128?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -10 - -1 - -8 - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 967439 to the nearest integer?\nAnswer: 984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5382 is divided by 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5 = 5*t, 0 = -t - t + 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -364008008 divided by -425243.\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-3)\/(-24) - (-1614)\/24. Let h = u + -56. Calculate the highest common divisor of h and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29 + 42 + 90 - 240 - 1551*v wrt v?\nAnswer: -1551","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3918 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-1\/4)*o))**(-2\/5) assuming o is positive.\nAnswer: o**(-1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -443831, -443916, -444003, -444092, -444183, -444276?\n\"Answer: -d**2 - 82*d - 443748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-191*a + 33*a - 1792 + 1794)*(-10 + 2 - 1)*(2*a**2 - 4*a**2 - 2*a**2).\nAnswer: -5688*a**3 + 72*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(3\/14)))\/(y*(y\/(y**10\/y))\/y)*(y**(-6))**(1\/55))**(-1\/5) assuming y is positive.\nAnswer: y**(-6241\/3850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 9*h - 7. Let o(r) = -44*r + 36. Let l(z) = -3*o(z) - 14*w(z). Let t be l(6). Suppose -4*k + 36 = 3*b - t, -5*b = -5*k - 115. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 5*g = 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1\/3, 124, -7\/2.\nAnswer: -7\/2, -0.2, 1\/3, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, w: 1, k: 2}. What is prob of picking 1 w and 1 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 205 divided by -9758\nAnswer: -5\/238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3747 + -4?\nAnswer: -3753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, n: 1, m: 6, j: 2}. Give prob of sequence jjdm.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 80082970 to the power of 1\/2, to the nearest integer?\nAnswer: 8949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/621 and -71\/345.\nAnswer: 3105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1335 + -1334.98. What is the closest to 78 in -3\/7, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z - 1. Let d be p(-1). Suppose 5*v = 2*y - 14 + 5, d*y - 48 = 4*v. Suppose 2*x - 4*i + 8 + 0 = 0, -i = 2*x - y. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = w + 2*y + y, -5 = -2*w - y. Let v = 2.3 + -0.3. What is the nearest to w in v, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 v when four letters picked without replacement from vwvavvvvvvvavvvav.\nAnswer: 143\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2)*-2*5\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 13 - 7)*(-4*a + a + 2 - 1) - 8*a - 2 + 2 + 12*a - 3*a - 4*a + (-3 + 2 - 1)*(-3 + 3 + 2*a) to d + g*a and give g.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -190*a**3 + 5*a**2 - 10*a + 5. Let x be z(3). Let f = -2623 - x. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/2)\/(-5*3\/(-180)). What is the nearest to -1 in 3, f, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 5:37 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3774078521 to the nearest integer?\nAnswer: 1557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -394*d**3\/9 - 65*d**2 + 4*d\/3 + 348. Factor g(r).\nAnswer: -2*(r + 1)*(197*r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 + 5*f - 3*f**2 + 4*f - 7*f + 4*f**2. Let j(c) = 2*c**2 - 5*c - 1. Determine 5*b(n) + 2*j(n).\nAnswer: -n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q - 53. Let n be a(-9). Let b be 1\/n*-7*(-4)\/28. Calculate the greatest common divisor of b and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.92 + 0.08. Let v = -786 + 794. Let f = v - y. Which is the second biggest value? (a) -4 (b) -3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1648033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 375 = 5*n + 359, 3*p = 3*n + 45 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/12)\/(27 + (-420)\/(-90)).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.337767559 rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**5 + 749*w**4\/3 + 6415*w**3\/3 + 4522*w**2 + 32*w\/3 - 4256\/3 = 0 for w.\nAnswer: -4, -2\/3, 1\/2, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4102 (base 5) in base 12?\nAnswer: -37b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 32*n**2 - 10*n - 31. Suppose 0 = -32*s - 134 + 38. Let r be c(s). Which is smaller: 289 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 804 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -28. Let c be 4\/32 - (-51)\/(-24). Put c, w, -4 in increasing order.\nAnswer: -4, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-4 + 8 + 4 - (27 + 1)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 + -32. Solve -1 = k*t + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a gram in milligrams?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 96406?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -108.7 rounded to zero dps?\nAnswer: -109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/37750488 and 113\/28312866?\nAnswer: 113251464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -341 - -242. Let v be 4\/(-22) + (-18)\/b. Suppose v = -5*z - 0*z + 35. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 3*a**2 - a - 2. Let u be p(-2). Let g = u - -9. Suppose d - 3*r - 5 = 1, -3*d + g*r + 38 = 0. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 2*t = w - 4007, w = -5*t + 5009. Is t*5*5\/50 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 1. Let l be u(-4). Let q(s) = -90*s + 46. Let n be q(13). Let h = 1131 + n. Solve -5 = l*k, 4*w - h = -k - 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 0.5 (b) -44 (c) -4\/5 (d) -0.065\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times -0.03\nAnswer: -0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194086564?\nAnswer: 2, 7, 1439, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, b: 1, i: 1, j: 1, a: 2}. What is prob of sequence fjbi?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, i: 2, u: 1, y: 1}. Give prob of sequence uyz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + z + 33. Let x be y(0). What is the highest common factor of 429 and x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -12*i**2 + 1892*i + 8425. Calculate l(162).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -32166 * -4.352\nAnswer: 139986.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7bd - 1?\nAnswer: 7bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/2*11\/1)\/(-134*(-317)\/127434)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/22946 and 2\/35?\nAnswer: 114730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/71 (b) -51 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y**2 - 4*y**2 + 2 + 9 - 3*y**2 - 10*y. Is 11 a factor of l(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244538969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 12*q - 11*q. What is the hundreds digit of ((-3)\/((-42)\/q))\/((-8)\/(-56))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2849 - 2814. Let o be (0 - -2) + (-7 - -1). Let p = o + 7. Solve 0*b = 2*j + b + 5, f = -p*j + 4*b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -2*o**6\/15 + 2*o**3 - 13*o**2\/2 - 15. Let w(g) be the second derivative of n(g). What is the derivative of w(a) wrt a?\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 25 = 0, -4*s - 3*j - 1874 = 3883. Calculate the remainder when 1 + -2*s\/6 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**4 + 29*z**4 - 70*z**4 + (3*z**3 - z**3 - 4*z**3)*(0 - 3*z + 0) in the form q*z + l*z**4 + n + j*z**2 + x*z**3 and give l.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490834 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/7, 5, -0.3, -41?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -11, 3, -166, -4 in increasing order.\nAnswer: -166, -11, -4, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5128 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 406\/35 + -11 - 3\/5. Solve -2*z - 3*c = 2*c + 20, 5*z + 2*c + 29 = x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, w: 6, b: 5, q: 3}. Give prob of picking 1 w and 1 b.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10816, -10653, -10486, -10315?\n\"Answer: 2*m**2 + 157*m - 10975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-52)\/13 - 62\/(-16)*2. Is 5 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192594279 to the power of 1\/2, to the nearest integer?\nAnswer: 13878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 47*o**2 + 1. Let r be t(6). Let l = -5032\/3 + r. Let p = l - 14. What is the common denominator of 1\/6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -137544.\nAnswer: 412632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 0. Let x(a) = a**3 + 13*a**2 - 15*a - 14. Let n be x(-14). Suppose -4*p = -16 - n. Solve p*c - 2*c = y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*j + 8 + 18*j - 93*j + 22*j.\nAnswer: -23*j + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/6)\/((-1)\/3). Let x(s) = -s**2 - s + 1. Let z(y) = y**2 + 5*y - 3. Let c(j) = -3*x(j) - z(j). Let r be c(m). Solve r*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(240)\/sqrt(10)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 99.34?\nAnswer: -96.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -17975 = -17973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -224 by 232449.\nAnswer: -32\/33207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 6*s**2 + 7*s + 4. Let t be k(7). Suppose -2*w - 20 - 23 = -b, t*b - 4*w - 168 = 0. Factor -5*z**3 + 77*z**5 - b*z**5 - 31*z**5.\nAnswer: 5*z**3*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3033021 - -11022130?\nAnswer: 1323103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1275814129.\nAnswer: 1275814129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*q. Suppose -84 = -q*b - 3*b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -901 or 9?\nAnswer: -901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - (sqrt(36) + sqrt(36)*1)\/sqrt(3)) + (sqrt(1728) - 5*sqrt(1728)))\/(sqrt(66)\/(sqrt(110)\/(-1*sqrt(10)))*5).\nAnswer: 49*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 495, 18437, 48341, 90207?\nAnswer: 144035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -126 + -5?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2458, -512, 18.\nAnswer: -512, 18, 2458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -23*v**5\/20 + v**4\/12 + v**3\/6 - v**2\/2 - 4*v. Let c be d(-1). Is 22 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52465 = -28*z - 53305 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-9) + (-52550)\/(-225). Calculate the highest common divisor of 18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4389)\/(-3762))\/(3486\/72).\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4536\/47 (b) -8\/3 (c) 2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.5 - -1.5. Put -5, -2.1, 2, u in increasing order.\nAnswer: -5, -2.1, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(128)*-2 - sqrt(128) - 3*(sqrt(50) + 1 + sqrt(50) + sqrt(2))) + -4.\nAnswer: -57*sqrt(2) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -904 = 8*v - 840 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from dsdnsnssdsnndnss.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16.2 - 21. Let c = 13.00996 - 8.21015. Let r = y + c. What is r rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*y + 35*y + 6. Differentiate 0*i**y + 19*i + 4*i**2 + 33*i + 73 - 5*i**2 with respect to i.\nAnswer: -2*i + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*w = -400, 6*w = 5*m + w - 1000. Calculate the highest common divisor of 80 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/1390 and -21\/13225294?\nAnswer: 66126470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1147 less than or equal to -12625\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -7.9672921?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -5)*(11 - (-38 - -27) - -7)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*v**2 - 13*v**2 + 21*v**3 - 5*v**2 - 11*v**2 to i*v**2 + x + k*v + y*v**3 and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 976 and 9211?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*u - 3*u + 47, -2*u = -o - 8. Let d be 1\/((-8)\/(-54)*3\/12). Let y = o + d. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2\/4 - 359761*j\/4 - 1259139\/2 = 0. What is j?\nAnswer: -359754, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-8)*((-8832)\/60)\/(-16)*-5.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7014 and 5662636?\nAnswer: 2338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k - 43 + 38*k - 6*k - 13*k - 6*k.\nAnswer: 3*k - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-441)\/490)\/((-6)\/10).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 + -1.6. Let g = -0.1 + 4.1. Which is the nearest to -2? (a) 7 (b) g (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 3*k - 78 + 8, -4*j = k - 56. Let a(v) = -2*v**3 - 13*v + j*v - 3*v**2 + 3*v**3. What is a(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 289491 and -146.\nAnswer: -42265686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*g + 315 = -167*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1274*f - 10 = 15278 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-5745)\/(-6))\/(2\/12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 124, -2, 167, -5 in increasing order.\nAnswer: -5, -2, 4, 5, 124, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73789, -73952, -74115, -74278, -74441, -74604?\nAnswer: -74767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -1.4. Let w = d + 0.4. Sort w, 0.2, -3 in decreasing order.\nAnswer: 0.2, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226 + 28 = -15*d + 27 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 3 + (-1 - 4 + 3)*(4 + 0 - 2))*(-453*x - 453*x - 1 + x**2 + 897*x).\nAnswer: -8*x**2 + 72*x + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 14 + -11 + 16 - 16\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 - 196.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3124828 by 596.\nAnswer: -5243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73 + 108. Calculate the remainder when j is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 331*t**2 + 5*t - 2. Let n be a(1). Let c = n - 286. Calculate the highest common factor of 192 and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-288)\/1620 + (-4)\/(-10).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1167 is divided by 84\/48 + (-342)\/(-24)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 - -217?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 616 and 1408.\nAnswer: 9856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 794120339.\nAnswer: 617, 1287067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(81\/1485)\/3?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/(-8)*(0 + (-4)\/(-3)). What is the biggest value in y, 1\/2, 0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 125954*u**2 + 155930*u.\nAnswer: 251908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/4*8 + 4. Suppose z = -2*u + 3*o + 713, 0*o = 2*u + o - 709. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(-1)\/(-1) - (21 - 26). Is 3289 - ((s - 11) + 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 749140503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*n + 6*k - 180520006 = 0, 2*k = 2*n - 90259998. What is n rounded to the nearest 1000000?\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4591337 a multiple of 1542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -2*o + 4*q, 22 + 62 = -51*o + q + 37 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3, -2*r = -0*r + 5*f + 15. Let y(i) = i**2 + 3*i - 4. Determine y(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 73, 61, -33, -209, -467, -807, -1229?\n\"Answer: -41*j**2 + 111*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -544 + -648. Let l = b - -1847. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*y + 411 = -83*y. Put 5, -5, y in increasing order.\nAnswer: y, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -15\/4*k**3 - 4 + 225\/8*k**2 + 3\/16*k**4 - 375\/4*k. Factor m(d).\nAnswer: 3*(d - 5)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.77 and 0.07.\nAnswer: 0.0539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 256037?\nAnswer: 256038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 71 + 15 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49039121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11316615 and 6150?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3944553, -12, -4 in decreasing order.\nAnswer: 3944553, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69279 is divided by 619.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s**2 - 2*s - 215599. Let f(v) = v. Determine f(z(b)).\nAnswer: -6*b**2 - 2*b - 215599","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-1)\/(-2)*-1). Let v be 8\/z + -2 + 1. Is (v - -4)\/((-1)\/127) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*r - 44*r - 1 = 0, -7*j + 17 = 4*r for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 10*z - 7*z + 280*z**2.\nAnswer: 280*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 + -3.03. Let n be 38 - (-12 + -14 - -61). What is the second smallest value in t, -6, n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 295 or 294?\nAnswer: 294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 463.66081 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*sqrt(425) + 5*(sqrt(153) - (-1*sqrt(153) - sqrt(153)))\/sqrt(9).\nAnswer: 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 37*q**2 - 2*q + 1. Let b be g(1). Let z(f) = f + 54. Let y be z(-36). What is the highest common divisor of y and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 7*q**2 + 9*q - 4. Let h(t) = -6*t + 26. Let i be h(6). Let o be (-10)\/3*24\/i. Calculate d(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80333892703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -8*o + 42 - 5*o + 10*o - 29. Give b(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 35\/((-10)\/2) + 9. Suppose -54 = l*f - 20*f. What is the highest common divisor of f and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -3, 1.969, -0.3, -0.19, -0.1, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4*r = 2024, 3*x - r = -0*x + 1502. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**2 + 7*d - d**2 + d**2 + d**2 as l*d + x*d**2 + s and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 3. Suppose -5*h - 34 = 3*s + 17, 15 = -h - 3*s. Calculate the smallest common multiple of o(h) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 7 = -5. Let k(h) = 2 - h - 3 - h + u. Let w be k(-4). Solve 0*v + v + 1 = 4*l, 5*l = -2*v + w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 57, 77, 115, 177, 269, 397, 567?\nAnswer: 785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 + 37*n + 104. Suppose 184 = k + 3*k. Calculate the remainder when k is divided by b(-16).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24762*a*c*s**2*z + 294*a*c - 17*a*s**2*z - 2*c*z - 257754*s**2*z wrt c?\nAnswer: -24762*a*s**2*z + 294*a - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3533430 at least 3533469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 16*c**2 - c + 7*c - 31 - 4*c - c**3. Let h be s(16). Solve 2*g = l - h, 2*l - 3 = l for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6566 - 6566.3. What is the nearest to -1 in 27, -4, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 + 146*c**2 - 30*c + 2183. Give w(73).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (0 - -1)*1. Suppose 858*q = f + 859*q - 9, -3*q = -9. What is the lowest common multiple of -2 + 3 - (l + 0) and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -370*(2109\/(-190))\/(-37)*1*(-8)\/12.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 23*t + 141. Let n be m(28). Solve -n = -9*y - 28 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u**3 - 90*u**2 - 40*u + 89. What is s(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17186 + 17273. Solve 9 = u*o - 96*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -163, -577, -1385, -2719?\nAnswer: -4711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2893, -11686, -26393, -47056, -73717?\nAnswer: -106418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -727 = -3*v + 2462. Suppose 2*b - 488 + 67 = g, -5*b - g = -v. Suppose n - b = -3*n. Does 19 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -98069\/18 - -5450. What is the common denominator of 2\/(-11) + 17\/(-88) and i?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 446, -1, 1, -6, -5 in increasing order.\nAnswer: -6, -5, -1, 1, 5, 446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, t: 11, e: 4}. Give prob of picking 2 t.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1031 in -115\/3, 2, -5?\nAnswer: -115\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7547*s**2 + 123*s**3 - 122*s**3 + 15701*s**2 - 8154*s**2.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)\/d*d*d\/((d*d**(2\/9))\/d))\/((d*d**(-8))\/(d\/d**(5\/7)))*(d**(1\/5))**9\/((((d*d*d**(-8))\/d)\/d)\/(d\/(d**(-3\/2)*d)*d)) assuming d is positive.\nAnswer: d**(10309\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from diiddiddidridiiiiiri. What is prob of sequence dr?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 62257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.23 + -11.23. Let o = -10 - i. Let g = 0.3 - 5.3. Which is smaller: o or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8316 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3538 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-30)\/25)\/(((-6)\/20)\/1). Solve -l*g = 3*b + 14, -5*g + b = -10*g - 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**5\/25 - 27*f**4\/20 - 13*f**3\/5 + 3287*f**2\/10 + 6498*f\/5 + 11976. Factor a(x).\nAnswer: (x - 19)**2*(x + 2)*(x + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**2 - 8*k - 4. Let r(m) be the second derivative of -m**3\/6 - m**2\/2 - 11*m. Let a(d) = 4*r(d) - t(d). Factor a(j).\nAnswer: -4*j*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 10 = -18. Let g(w) = -r*w + 6*w + 2*w. Let f(o) = -2. Let z(n) = -4*n + 10. Let k(l) = -5*f(l) - z(l). Calculate g(k(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 618546.29 minus -0.044?\nAnswer: 618546.334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-3))\/((-32)\/(-48))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/7 + 502*f**2\/7 - 8*f\/7 - 2008\/7.\nAnswer: 2*(f - 2)*(f + 2)*(f + 251)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-15))\/(88\/132))\/((-1)\/6)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 8636*y - 8632*y - 23, 3*y - 5*c + 4 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 515*o**3 - 4*o**2 - 4*o - 4. Let t(j) = -156046*j**3 + 1211*j**2 + 1211*j + 1211. Calculate -4*t(q) - 1211*u(q).\nAnswer: 519*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1309709160 to the nearest integer?\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000010931055 rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*c**4 - 3280*c**3 + 5*c**2 - 5*c + 1129296.\nAnswer: 28*c**3 - 9840*c**2 + 10*c - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -15*h**3 + 4698*h**2 + 3771*h - 938. Calculate q(314).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19604*d - 19590*d = 0. Factor -1\/7*o**4 + 1\/7*o**5 + 0 - 5\/7*o**3 + d*o - 3\/7*o**2.\nAnswer: o**2*(o - 3)*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 2*f + 4. Let d be n(-4). Let i = -41 + 617\/15. Sort -5, i, d.\nAnswer: -5, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 14 = -8*c + 2*w, -3*c + 2 = 4*w. Let x be c\/(-1) + (-4)\/2. Let y = x + 3. What is the lowest common multiple of 1 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 2*b - 2*w, -167 = 4*b - 7*b - 5*w. What is the remainder when b is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - -1)*13\/(-4). Let t = -5 - c. Suppose t*i = 3*i + 715. What is the highest common divisor of 13 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, s: 4, d: 1, a: 4, j: 6, u: 1}. Give prob of picking 1 d and 2 s.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 17702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -1097*s**2 + 567*s**2 + 517*s**2. Let d(h) = -61*h - 2. What is y(d(g))?\nAnswer: -48373*g**2 - 3172*g - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 6:03 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3 - 1 = 0. Let l = -51 - -51. Let q(u) = l*u + 8*u - 6*u - 2. Let i(p) = 1. Give a*i(o) - 2*q(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*n + 2*n - 5*n)*(-158 + 105 + 29*n + 60).\nAnswer: 145*n**2 + 35*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fa when two letters picked without replacement from macfajba?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 23016*q + 345915.\nAnswer: -3*(q - 7687)*(q + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2970361062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.95 - 0.05. Let k = z + 7. Let x = 1772.3 - 1772.3. Which is the nearest to -2\/9? (a) x (b) 1\/6 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 - 108 + 9*u**2 + 51.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11715124*z = 11715061*z - 3654 for z.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, o: 5, h: 1, b: 5}. Give prob of sequence bo.\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 3*u - i = 28, -21*u + 245*i = -56*u + 30*u - 3160 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26885 divided by 1?\nAnswer: -26885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 4:01 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85 + 88. Solve -4*x + 4*l + 7 = r*l, 0 = -5*x + l + 9 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-4))\/((-7)\/28). Let f = o + 6. Let w(t) be the third derivative of t**4\/12 - 7*t**3\/6 + 6*t**2. Determine w(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c**22))\/c**(-12) assuming c is positive.\nAnswer: c**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 534409 to the nearest integer?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/95)\/(-1*44\/10)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -3\/16*y**4 + 0 + 7\/24*y**3 + 1\/4*y**2 - 14*y. Find a such that v(a) = 0.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 12, -2*s = -4*c + 2*c - 124. Sort c, -4, 0, 1.\nAnswer: c, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 695*s - 433*s + 843*s to a + m*s and give m.\nAnswer: 1105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-1) - 4) + 28\/5. Sort -1\/12, 4\/7, 3, y.\nAnswer: -1\/12, 4\/7, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 3:38 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -1706*n + 576504. What is z(338)?\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*q = 4343 - 15153 for q.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/(g*g**(-1\/3))*g\/(g\/(g*(g\/((g*(g*g\/((g*g**(-7)\/g*g)\/g)*g*g)\/g)\/g))\/g))*(g**(-2\/5))**(-1\/71) assuming g is positive.\nAnswer: g**(-8159\/1065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 5*z + 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l. Let z(t) = -1162*t + 4. Determine z(n(p)).\nAnswer: 2324*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c**2 + 9*c + 4. Let p(m) = -14*m**2 + 26*m + 11. Determine -8*f(q) + 3*p(q).\nAnswer: -2*q**2 + 6*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -1076, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/24 - 6 - -8.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -591, -577, -557, -531, -499, -461?\nAnswer: -417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (465\/10)\/(((-108)\/(-16))\/3). Let k = -127\/6 + f. Sort 0.1, 3\/5, k in decreasing order.\nAnswer: 3\/5, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + (2 - 219\/12))\/(210\/(-280))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29318265 to the nearest integer?\nAnswer: 5415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -719415?\nAnswer: -719415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 7*h - 13. What is v(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1048 and (6\/(-18)*-12 + (-1 - -1))*1?\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 9 - 9 + c**3 + 5*c**2 + 4*c + 0. Let h be o(-7). Calculate the least common multiple of 16 and h\/(-8) - (-7)\/28.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/(-3 - (2 + -4)). Let y(l) = -11*l**3 - 9*l**2 - 9*l. Let f(z) = -5*z**3 - 4*z**2 - 4*z. Determine g*f(v) + 4*y(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -9. Let z = 625 + c. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6be - 64?\nAnswer: 65a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (((-26)\/(-3))\/(-1))\/(75*(-292)\/(-98550))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1443494 is divided by 6975.\nAnswer: 6644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -7. Let a = 190 - 187. Let x = j - a. What is the nearest to 1 in 0.05, x, 3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -47\/2, -39, -5, 1\/6 in descending order.\nAnswer: 3, 1\/6, -4, -5, -47\/2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 6*z + 2. Let h be q(6). Let y be ((-2)\/105*30)\/((-2)\/7). Solve h + y = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -35)\/(-204) + 218\/24\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1515)\/(-5) - 0\/(-2). Let h = -143 + j. Let s be ((-4)\/(-10))\/(h\/(-50)). Which is bigger: 6 or s?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 6. Let t = x + -5. Let v(b) = -b**3 - 6*b**2 + 3. Let l be v(-6). Solve -l*a - 2*u = 17, 4*a + t*u + 46 = 18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 24*h + 58. Let u be r(-2). Let g(d) = 17*d**2 - 4*d + 3. Let o(w) = 18*w**2 - 5*w + 4. Give u*g(b) - 5*o(b).\nAnswer: 12*b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-5) + 5404\/(-70). Let w = -47 - c. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 1:25 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2 - 20*v - 14*v - 5. Is g(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 36. What is the smallest common multiple of 4 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05850687 to 3 dps.\nAnswer: 0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -0.09559055877.\nAnswer: 0.00440944123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/11 and 55\/2688104?\nAnswer: 29569144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 4*p = -18, -5*f - 6 = 10*p - 14*p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**2 - 27*x - 47. Let z = 120 + -141. Is l(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 65 = -15. Calculate the least common multiple of 17 and m.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1226 times -0.19?\nAnswer: 232.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -99*v**2 - 687*v + 46. What is s(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 94.3 and 1.116.\nAnswer: 105.2388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -1525, -5, 4, 56 in ascending order.\nAnswer: -1525, -5, 2, 4, 5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from wwwwwwwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 2136?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 256 and 14820544?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 17*o - 263. Solve -2*y = 2*y - o for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144382 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 296551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-34))\/((-1010)\/1717)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 2*o + 0*o)*(4*o**2 - 5*o**2 + 4*o**2) - 6*o + o**3 + 6*o.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s - 3. Let h be n(2). Suppose -1 = -h*u + 5. Suppose 0 = -2*k - 2*k - 20. Sort k, u, 1 in increasing order.\nAnswer: k, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17716, 17720, 17730, 17746, 17768, 17796, 17830?\nAnswer: 17870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000981037 rounded to seven dps?\nAnswer: -0.0000981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/4)\/c)\/((c\/(c\/c**4))\/c)*(c**(1\/2))**28)\/(c**(-6)\/c**(-2\/11))**(-4\/5) assuming c is positive.\nAnswer: c**(1341\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 4\/7, -12, 7 in descending order.\nAnswer: 7, 4\/7, 2\/9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 180*g**2 + 3*g + 2. Is o(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 57\/5) + (-4)\/(-10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -1\/2*y**4 + 1\/720*y**6 + 5*y**2 + 0*y + 0*y**3 - 1\/40*y**5 + 0. Let t(i) be the second derivative of n(i). Determine t(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -21*i**2 - 17*i - 12. Let g(k) = -19*k**2 - 14*k - 11. Determine -10*g(t) + 9*h(t).\nAnswer: t**2 - 13*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 228306 by 17562.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 take away 8644?\nAnswer: -8794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.1853*-116\nAnswer: -21.4948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*d + 390*d - 691 = -1927 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 284 + -284.55. Let s = 0.45 - 0. Let j = o + s. Which is the nearest to 0? (a) -5 (b) -0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, s: 4, o: 1, u: 8}. What is prob of picking 1 s and 2 b?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n + 5 = 11*n + 5*i, -4*n = -2*i + 2. Suppose 68 = 3*c - 37. Put c, n, 3 in descending order.\nAnswer: c, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 32582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -2*y**2 - y + 19. Suppose -4 = -g - 6. Let a = g - -1. What is d(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 3*t - 3*t)*(4460*t + 101 - 64 - 37).\nAnswer: -8920*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4\/5 + 83562*m**3\/5 + 668368*m**2\/5.\nAnswer: 2*m**2*(m + 8)*(m + 41773)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.317967 * 30\nAnswer: 9.53901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000364116 to seven decimal places.\nAnswer: -0.0000364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 958*d**4 - 6942*d + 6942*d + (1 - d - 1)*(-2*d**3 + 4*d - 4*d).\nAnswer: 960*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2660691169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t + 24. Let y be g(-4). Suppose -4*v + 5*j - y = 0, -3*j + 1 + 13 = v. Suppose 5\/3*z + 1\/3 + v*z**2 = 0. Calculate z.\nAnswer: -1\/2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + t + 0)*(-3*t - 3*t + 4*t) + t**2 + 0*t**2 - 4*t**2 + (-37*t**2 + 228*t**2 + 219*t**2)*(2 + 1 + 0).\nAnswer: 1225*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1800 + -24743.00046.\nAnswer: -26543.00046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396884410?\nAnswer: 2, 5, 13, 43, 70999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*p - 11, 5*r - 5*p - 21 = 4. Let b = 1769 - 1769.5. What is the third biggest value in 0, b, r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 0)*(3*i + i - 6*i)*(5 - 15 - 7 + (-3 + 3 - 1)*(0 - 3 + 2)) as d*i + v and give d.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57635 - 266*s + 12*s - 57626.\nAnswer: -254*s + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*c + 426*c + 336*c.\nAnswer: 915*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 15*j + 62. Let l be r(-18). Is 236 + (-6)\/l + (-7)\/28 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7744063213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 30 = 4*u. Let b(t) = t**2 - 9*t + 10. Let y be b(u). Let f(w) = 3 + y*w - 3. Let i(o) = -7*o. Calculate i(f(s)).\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 4*b**2 + 5*b - 4. Determine q(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 787635202 greater than 787635202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 20.4 - 71.9\nAnswer: -51.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 110, 365, 792, 1397, 2186, 3165?\n\"Answer: m**3 + 80*m**2 + 8*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 21*j**2 - 50*j - 8. Let l be p(-23). Let d be l\/24*(-4)\/(-84). What is the closest to d in -3, 2\/3, -0.2, -2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -5*f**2 - 340210*f - 5787142205 = 0.\nAnswer: -34021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -159*t**2*y**3 - 238*t**2*y**2 - 4*t**2*y - 2*t**2 + 157913*t*y + 2*y**3 wrt y?\nAnswer: -954*t**2*y - 476*t**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(198)\/sqrt(11) - (-2 + -1 + sqrt(2))))**2 + (5*(-1 + sqrt(128) + sqrt(128)) - -4*(sqrt(128) + 1))**2 + -2.\nAnswer: -116*sqrt(2) + 25240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 6:48 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 0*r - 4. Let v = r + -1. Let j = v + 0. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44a (base 14) to base 15.\nAnswer: -3ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1867, -5831, -11897, -20065, -30335, -42707?\nAnswer: -57181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580001038?\nAnswer: 2, 1361, 213079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465 = -85*r + 125 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18811553 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*a = -146*a + 2*z - 18, -40*a + 6*a - 54 = 2*z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, p: 1}. Give prob of sequence ps.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 341 divide 2280586176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/(-40) - 1476\/(-15). Calculate the highest common factor of 42 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429890803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + c - 12 = -2*f, -5*f = c - 6. Solve -3\/2*y**3 + c*y + 3\/2*y**2 - 6 = 0 for y.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 505621071?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2610898 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - -1 - (0 - -1). Let u = -33 - -46. Suppose -f - 4*q + 3 = -6, -3*f - q = -5. Solve h*g - f = -u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-8) - (-13)\/4. Suppose 3 - 12 = -n*b. Suppose 4*y + 2*f = b*y + 3, -f + 33 = 4*y. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7772232 a multiple of 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/21 and 23\/35.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72 - 31. Let a = m - 25. Let x = 28 - a. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 234390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 56, -4, 892, 3, -5, -1 in ascending order.\nAnswer: -5, -4, -1, 3, 33, 56, 892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 85*a**3 + 247*a**3 + 199*a**3)*(-1 - 2*a**2 + 1).\nAnswer: -1062*a**5 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 196625207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*z = 7, p = 2*p - 4*z + 2. Suppose -93 = -p*v + 5*b - 14, -v - 3*b + 34 = 0. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52939\/15 - 3533. Calculate the common denominator of -14*(-2)\/(-36)*6 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4 - ((-327)\/12 - -28)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 283, 0, 4, -7, -4.\nAnswer: -7, -4, -1, 0, 4, 5, 283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -17. Suppose -5*b + 29 = -16. Calculate the greatest common divisor of b and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2228711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.08511 * 0.003\nAnswer: 0.00025533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b*d**4 - 25*b*d**2 + 491479*b*d - 826*d**5 wrt d.\nAnswer: 24*b*d**2 - 50*b - 16520*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 3*l + 2 + 4*l)*(-21 - 14 - 9)*(6 - 3 - 1)*(-6 + 1 + 2).\nAnswer: 528*l + 528","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -3*p**8\/560 - p**7\/280 + p**6\/60 - 4*p**3 + 4. Let k(z) be the third derivative of c(z). Find d, given that k(d) = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**3 - o**2 + 7*o - 11. Calculate p(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 17*n - 3 - 6*n - 12. Does 17 divide v(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 100*j + 10 + 7 + 5 + 18*j - 24 to q*j + y and give q.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 11) to base 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 910*l - 973*l + 630 = 0 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = -8*d - 3*v - 679, v + 683 = 5*d. Calculate the remainder when d is divided by 80.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1680 by 10.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -41. Let t(a) = 33*a**2 - 21*a - 21. Let u(q) = 8*q**2 - 5*q - 5. Calculate y*u(l) + 5*t(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -4\/5*a**2 + 272 - 324\/5*a = 0?\nAnswer: -85, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42 + -13?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38209 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 0.13. Let a = y + 0.029909. Round a to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x + 6. Let p be j(-5). Which is smaller: p or 22?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*y + 88 = 35, o - 4*y = 31. Suppose 4*m + o + 1 = 0. Let s = 8 - m. Calculate the greatest common divisor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -409 + 1675\/4. Suppose 5*r - 56 = 3*r. What is the common denominator of -2 + 1*144\/r and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/1078 and -23\/462.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -33, 6, 1, -4, -2, -11 in decreasing order.\nAnswer: 6, 1, 0, -2, -4, -11, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -1\/3*b**3 - 7*b**5 + 0*b**2 + 0*b**4 + 174*b - 257. What is the first derivative of h(x) wrt x?\nAnswer: -140*x**3 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.368541ug in kilograms?\nAnswer: 0.000000003368541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-one fifths of a centimeter?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23011 (base 4) in base 7?\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 1274*m**3 - 2*m**2 + 8*m. Let q be k(4). Suppose -4*g - g = u + q, -5*u + 20 = 0. Let v = 53692 - g. Round v to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 64 = 5*r, -10124*r + 3*d = -10125*r - 5 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 - -51. Let f = 5 + -3. Suppose -5*j + 0*b = -b - 26, -b = f*j - 9. Solve 0 = j*p - a - 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -0.257706957.\nAnswer: -0.257706957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -152, -0.569, 0.24?\nAnswer: -0.569","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-22)\/j)\/j)\/(j*j**(1\/16)) assuming j is positive.\nAnswer: j**(-401\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -41*a + 321. Calculate x(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*f - 177, -2*u + f - 708 = 2*u. Suppose 2*p - 4*l = 506, 0*p - 3*l = 5*p - 1304. Let w = u + p. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w - w**2)*(-7*w + 3*w + w) + w**3 + 4*w**2 - 4*w**2 + (3*w - 4*w - w)*(-16*w**2 - 11*w**2 + 10*w**2) + (2 + 2*w - 2)*(-w**2 - 3*w**2 + w**2).\nAnswer: 32*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -352\/5*l + 14\/5 + 10*l**2.\nAnswer: 2*(l - 7)*(25*l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/9*((-4)\/(3*-4))\/(10\/(-1215)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wi when two letters picked without replacement from yymmmwmcykimk?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5793454 rounded to the nearest 10000?\nAnswer: 5790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*w = -109*w + 9. Let u(b) = -b + 1. Let p(q) = -q**2 - 4*q. Give w*p(t) - 2*u(t).\nAnswer: -t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}